%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYO500^1.003 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 08:48:08 AM UTC 2026
% Result : Theorem 0.23s 0.32s
% Output : Refutation 0.23s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO500^1.003 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n026.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Tue Sep 29 17:13:43 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 Running higher-order theorem proving
% 0.09/0.24 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.23/0.32 % (886210)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.23/0.32 % (886228)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=23772699:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.23/0.32 % (886228)Refutation not found, incomplete strategy
% 0.23/0.32 % (886228)------------------------------
% 0.23/0.32 % (886228)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.23/0.32 % (886228)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.23/0.32 % (886228)CaDiCaL version: 2.1.3
% 0.23/0.32 % (886228)Termination reason: Refutation not found, incomplete strategy
% 0.23/0.32 % (886228)Time elapsed: 0.001 s
% 0.23/0.32 % (886228)Peak memory usage: 12 MB
% 0.23/0.32 % (886228)Instructions burned: 2 (million)
% 0.23/0.32 % (886228)------------------------------
% 0.23/0.32 % (886228)------------------------------
% 0.23/0.32 % (886230)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.23/0.32 % (886230)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.23/0.32 % (886224)lrs+10_16_si=on:nwc=1.5:random_seed=4242593210:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.23/0.32 % (886223)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=2033345432:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.23/0.32 % (886229)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=3697918559:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.23/0.32 % (886225)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=1395045795:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.23/0.32 % (886226)dis+1002_4:1_sfv=off:to=lpo:plsq=on:fde=none:e2e=on:si=on:spb=non_intro:acc=on:uwa=off:fd=preordered:foolp=on:s2agt=32:slsqc=1:slsq=on:random_seed=2962564049:hsq=on:hsqr=16,1:s2a=on:i=634:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2999 on theBenchmark for (2999ds/634Mi)
% 0.23/0.32 % (886230)dis+1002_8_to=kbo:sil=128000:tgt=full:drc=off:si=on:sp=const_max:lma=off:spb=non_intro:cbe=off:uwa=interpreted_only:random_seed=845013695:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.23/0.32 % (886223)Refutation not found, incomplete strategy
% 0.23/0.32 % (886223)------------------------------
% 0.23/0.32 % (886223)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.23/0.32 % (886223)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.23/0.32 % (886225)Refutation not found, incomplete strategy
% 0.23/0.32 % (886225)------------------------------
% 0.23/0.32 % (886225)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.23/0.32 % (886223)CaDiCaL version: 2.1.3
% 0.23/0.32 % (886225)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.23/0.32 % (886223)Termination reason: Refutation not found, incomplete strategy
% 0.23/0.32 % (886223)Time elapsed: 0.001 s
% 0.23/0.32 % (886223)Peak memory usage: 12 MB
% 0.23/0.32 % (886223)Instructions burned: 1 (million)
% 0.23/0.32 % (886225)CaDiCaL version: 2.1.3
% 0.23/0.32 % (886225)Termination reason: Refutation not found, incomplete strategy
% 0.23/0.32 % (886225)Time elapsed: 0.001 s
% 0.23/0.32 % (886225)Peak memory usage: 12 MB
% 0.23/0.32 % (886224)Refutation not found, incomplete strategy
% 0.23/0.32 % (886224)------------------------------
% 0.23/0.32 % (886224)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.23/0.32 % (886224)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.23/0.32 % (886224)CaDiCaL version: 2.1.3
% 0.23/0.32 % (886224)Termination reason: Refutation not found, incomplete strategy
% 0.23/0.32 % (886224)Time elapsed: 0.001 s
% 0.23/0.32 % (886224)Peak memory usage: 12 MB
% 0.23/0.32 % (886224)Instructions burned: 1 (million)
% 0.23/0.32 % (886223)------------------------------
% 0.23/0.32 % (886223)------------------------------
% 0.23/0.32 % (886225)------------------------------
% 0.23/0.32 % (886225)------------------------------
% 0.23/0.32 % (886224)------------------------------
% 0.23/0.32 % (886224)------------------------------
% 0.23/0.32 % (886235)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=2473211763:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.23/0.32 % (886235)Instruction limit reached!
% 0.23/0.32 % (886235)------------------------------
% 0.23/0.32 % (886235)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.23/0.32 % (886235)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.23/0.32 % (886235)CaDiCaL version: 2.1.3
% 0.23/0.32 % (886235)Termination reason: Instruction limit
% 0.23/0.32 % (886235)Termination phase: Saturation
% 0.23/0.32 % (886235)Time elapsed: 0.001 s
% 0.23/0.32 % (886235)Peak memory usage: 12 MB
% 0.23/0.32 % (886235)Instructions burned: 2 (million)
% 0.23/0.32 % (886249)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.23/0.32 % (886249)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.23/0.32 % (886245)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.23/0.32 % (886249)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=3322973732:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.23/0.32 % (886245)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=2268079257:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.23/0.32 % (886244)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=582375391:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.23/0.32 % (886246)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=3225350820:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.23/0.32 % (886230) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-886210-886230"...
% 0.23/0.32 % (886245)Instruction limit reached!
% 0.23/0.32 % (886245)------------------------------
% 0.23/0.32 % (886245)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.23/0.32 % (886245)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.23/0.32 % (886245)CaDiCaL version: 2.1.3
% 0.23/0.32 % (886245)Termination reason: Instruction limit
% 0.23/0.32 % (886245)Termination phase: Saturation
% 0.23/0.32 % (886245)Time elapsed: 0.004 s
% 0.23/0.32 % (886245)Peak memory usage: 12 MB
% 0.23/0.32 % (886245)Instructions burned: 7 (million)
% 0.23/0.32 % (886244)Instruction limit reached!
% 0.23/0.32 % (886244)------------------------------
% 0.23/0.32 % (886244)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.23/0.32 % (886244)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.23/0.32 % (886244)CaDiCaL version: 2.1.3
% 0.23/0.32 % (886244)Termination reason: Instruction limit
% 0.23/0.32 % (886244)Termination phase: Saturation
% 0.23/0.32 % (886244)Time elapsed: 0.004 s
% 0.23/0.32 % (886244)Peak memory usage: 11 MB
% 0.23/0.32 % (886244)Instructions burned: 6 (million)
% 0.23/0.32 % (886249)Instruction limit reached!
% 0.23/0.32 % (886249)------------------------------
% 0.23/0.32 % (886249)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.23/0.32 % (886249)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.23/0.32 % (886249)CaDiCaL version: 2.1.3
% 0.23/0.32 % (886249)Termination reason: Instruction limit
% 0.23/0.32 % (886249)Termination phase: Saturation
% 0.23/0.32 % (886249)Time elapsed: 0.008 s
% 0.23/0.32 % (886249)Peak memory usage: 12 MB
% 0.23/0.32 % (886249)Instructions burned: 32 (million)
% 0.23/0.32 % (886246)Instruction limit reached!
% 0.23/0.32 % (886246)------------------------------
% 0.23/0.32 % (886246)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.23/0.32 % (886246)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.23/0.32 % (886246)CaDiCaL version: 2.1.3
% 0.23/0.32 % (886246)Termination reason: Instruction limit
% 0.23/0.32 % (886246)Termination phase: Saturation
% 0.23/0.32 % (886246)Time elapsed: 0.007 s
% 0.23/0.32 % (886246)Peak memory usage: 12 MB
% 0.23/0.32 % (886246)Instructions burned: 13 (million)
% 0.23/0.32 % (886230)...printing done.
% 0.23/0.32 % (886230)Refutation found. Thanks to Tanya!
% 0.23/0.32 % SZS status Theorem for theBenchmark
% 0.23/0.32 % SZS output start Proof for theBenchmark
% 0.23/0.32 thf(type_def_5, type, sTfun: ($tType * $tType) > $tType).
% 0.23/0.32 thf(func_def_0, type, x: $o).
% 0.23/0.32 thf(func_def_1, type, f0: ($o > $o)).
% 0.23/0.32 thf(func_def_2, type, f1: ($o > $o)).
% 0.23/0.32 thf(func_def_3, type, f2: ($o > $o)).
% 0.23/0.32 thf(func_def_7, type, sF0: $o).
% 0.23/0.32 thf(func_def_8, type, sF1: $o).
% 0.23/0.32 thf(func_def_9, type, sF2: $o).
% 0.23/0.32 thf(func_def_10, type, sF3: $o).
% 0.23/0.32 thf(func_def_11, type, sF4: $o).
% 0.23/0.32 thf(func_def_12, type, sF5: $o).
% 0.23/0.32 thf(func_def_13, type, sF6: $o).
% 0.23/0.32 thf(func_def_14, type, sF7: $o).
% 0.23/0.32 thf(func_def_15, type, sF8: $o).
% 0.23/0.32 thf(func_def_16, type, sF9: $o).
% 0.23/0.32 thf(func_def_17, type, sF10: $o).
% 0.23/0.32 thf(f1,conjecture,(
% 0.23/0.32 (((f0 @ (f1 @ (f1 @ (f1 @ (f2 @ x)))))) = ((f0 @ (f0 @ (f0 @ (f1 @ (f2 @ (f2 @ (f2 @ x)))))))))),
% 0.23/0.32 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',kaminski3)).
% 0.23/0.32 thf(f2,negated_conjecture,(
% 0.23/0.32 ~ (((f0 @ (f1 @ (f1 @ (f1 @ (f2 @ x)))))) = ((f0 @ (f0 @ (f0 @ (f1 @ (f2 @ (f2 @ (f2 @ x)))))))))),
% 0.23/0.32 inference(negated_conjecture,[status(cth)],[f1])).
% 0.23/0.32 thf(f3,plain,(
% 0.23/0.32 (((f0 @ (f1 @ (f1 @ (f1 @ (f2 @ x)))))) != ((f0 @ (f0 @ (f0 @ (f1 @ (f2 @ (f2 @ (f2 @ x)))))))))),
% 0.23/0.32 inference(flattening,[],[f2])).
% 0.23/0.32 thf(f4,plain,(
% 0.23/0.32 (((f0 @ (f1 @ (f1 @ (f1 @ (f2 @ x)))))) != ((f0 @ (f0 @ (f0 @ (f1 @ (f2 @ (f2 @ (f2 @ x)))))))))),
% 0.23/0.32 inference(cnf_transformation,[],[f3])).
% 0.23/0.32 thf(f6,definition,(
% 0.23/0.32 ( ! [X0 : $o] : (($true = X0) | ($false = X0)) )),
% 0.23/0.32 introduced(theory,[fool_exhaustiveness_axiom])).
% 0.23/0.32 thf(f7,definition,(
% 0.23/0.32 (sF0 = ((f2 @ x)))),
% 0.23/0.32 introduced(definition,[new_symbols(definition,[sF0])],[function_definition])).
% 0.23/0.32 thf(f8,plain,(
% 0.23/0.32 (((f2 @ x)) = sF0)),
% 0.23/0.32 inference(reorient_equations,[],[f7])).
% 0.23/0.32 thf(f9,definition,(
% 0.23/0.32 (sF1 = ((f1 @ sF0)))),
% 0.23/0.32 introduced(definition,[new_symbols(definition,[sF1])],[function_definition])).
% 0.23/0.32 thf(f10,definition,(
% 0.23/0.32 (sF2 = ((f1 @ sF1)))),
% 0.23/0.32 introduced(definition,[new_symbols(definition,[sF2])],[function_definition])).
% 0.23/0.32 thf(f11,definition,(
% 0.23/0.32 (sF3 = ((f1 @ sF2)))),
% 0.23/0.32 introduced(definition,[new_symbols(definition,[sF3])],[function_definition])).
% 0.23/0.32 thf(f12,definition,(
% 0.23/0.32 (sF4 = ((f0 @ sF3)))),
% 0.23/0.32 introduced(definition,[new_symbols(definition,[sF4])],[function_definition])).
% 0.23/0.32 thf(f13,definition,(
% 0.23/0.32 (sF5 = ((f2 @ sF0)))),
% 0.23/0.32 introduced(definition,[new_symbols(definition,[sF5])],[function_definition])).
% 0.23/0.32 thf(f14,plain,(
% 0.23/0.32 (((f2 @ sF0)) = sF5)),
% 0.23/0.32 inference(reorient_equations,[],[f13])).
% 0.23/0.32 thf(f15,definition,(
% 0.23/0.32 (sF6 = ((f2 @ sF5)))),
% 0.23/0.32 introduced(definition,[new_symbols(definition,[sF6])],[function_definition])).
% 0.23/0.32 thf(f16,definition,(
% 0.23/0.32 (sF7 = ((f1 @ sF6)))),
% 0.23/0.32 introduced(definition,[new_symbols(definition,[sF7])],[function_definition])).
% 0.23/0.32 thf(f17,definition,(
% 0.23/0.32 (sF8 = ((f0 @ sF7)))),
% 0.23/0.32 introduced(definition,[new_symbols(definition,[sF8])],[function_definition])).
% 0.23/0.32 thf(f18,definition,(
% 0.23/0.32 (sF9 = ((f0 @ sF8)))),
% 0.23/0.32 introduced(definition,[new_symbols(definition,[sF9])],[function_definition])).
% 0.23/0.32 thf(f19,definition,(
% 0.23/0.32 (sF10 = ((f0 @ sF9)))),
% 0.23/0.32 introduced(definition,[new_symbols(definition,[sF10])],[function_definition])).
% 0.23/0.32 thf(f20,plain,(
% 0.23/0.32 (((f0 @ sF9)) = sF10)),
% 0.23/0.32 inference(reorient_equations,[],[f19])).
% 0.23/0.32 thf(f21,plain,(
% 0.23/0.32 (sF4 != sF10)),
% 0.23/0.32 inference(definition_folding,[],[f4,f20,f18,f17,f16,f15,f14,f8,f12,f11,f10,f9,f8])).
% 0.23/0.32 thf(f22,plain,(
% 0.23/0.32 (sF6 = $true) | ($false = ((f2 @ sF5)))),
% 0.23/0.32 inference(iff_proxy_clausification,[],[f15])).
% 0.23/0.32 thf(f23,plain,(
% 0.23/0.32 (((f2 @ sF5)) = $true) | (sF6 = $false)),
% 0.23/0.32 inference(iff_proxy_clausification,[],[f15])).
% 0.23/0.32 thf(f24,plain,(
% 0.23/0.32 (sF7 = $true) | ($false = ((f1 @ sF6)))),
% 0.23/0.32 inference(iff_proxy_clausification,[],[f16])).
% 0.23/0.32 thf(f25,plain,(
% 0.23/0.32 (((f1 @ sF6)) = $true) | (sF7 = $false)),
% 0.23/0.32 inference(iff_proxy_clausification,[],[f16])).
% 0.23/0.32 thf(f26,plain,(
% 0.23/0.32 ($false = ((f1 @ sF1))) | (sF2 = $true)),
% 0.23/0.32 inference(iff_proxy_clausification,[],[f10])).
% 0.23/0.32 thf(f27,plain,(
% 0.23/0.32 (((f1 @ sF1)) = $true) | ($false = sF2)),
% 0.23/0.32 inference(iff_proxy_clausification,[],[f10])).
% 0.23/0.32 thf(f28,plain,(
% 0.23/0.32 ($false = ((f1 @ sF0))) | (sF1 = $true)),
% 0.23/0.32 inference(iff_proxy_clausification,[],[f9])).
% 0.23/0.32 thf(f29,plain,(
% 0.23/0.32 ($false = sF1) | (((f1 @ sF0)) = $true)),
% 0.23/0.32 inference(iff_proxy_clausification,[],[f9])).
% 0.23/0.32 thf(f30,plain,(
% 0.23/0.32 (((f1 @ sF2)) = $false) | (sF3 = $true)),
% 0.23/0.32 inference(iff_proxy_clausification,[],[f11])).
% 0.23/0.32 thf(f31,plain,(
% 0.23/0.32 (sF3 = $false) | (((f1 @ sF2)) = $true)),
% 0.23/0.32 inference(iff_proxy_clausification,[],[f11])).
% 0.23/0.32 thf(f32,plain,(
% 0.23/0.32 (((f2 @ x)) = $true) | ($false = sF0)),
% 0.23/0.32 inference(iff_proxy_clausification,[],[f8])).
% 0.23/0.32 thf(f33,plain,(
% 0.23/0.32 (((f2 @ x)) = $false) | (sF0 = $true)),
% 0.23/0.32 inference(iff_proxy_clausification,[],[f8])).
% 0.23/0.32 thf(f34,plain,(
% 0.23/0.32 (((f0 @ sF7)) = $false) | (sF8 = $true)),
% 0.23/0.32 inference(iff_proxy_clausification,[],[f17])).
% 0.23/0.32 thf(f35,plain,(
% 0.23/0.32 (sF8 = $false) | (((f0 @ sF7)) = $true)),
% 0.23/0.32 inference(iff_proxy_clausification,[],[f17])).
% 0.23/0.32 thf(f36,plain,(
% 0.23/0.32 ($false = ((f0 @ sF8))) | (sF9 = $true)),
% 0.23/0.32 inference(iff_proxy_clausification,[],[f18])).
% 0.23/0.32 thf(f37,plain,(
% 0.23/0.32 (((f0 @ sF8)) = $true) | ($false = sF9)),
% 0.23/0.32 inference(iff_proxy_clausification,[],[f18])).
% 0.23/0.32 thf(f38,plain,(
% 0.23/0.32 (((f2 @ sF0)) = $true) | ($false = sF5)),
% 0.23/0.32 inference(iff_proxy_clausification,[],[f14])).
% 0.23/0.32 thf(f39,plain,(
% 0.23/0.32 (sF5 = $true) | ($false = ((f2 @ sF0)))),
% 0.23/0.32 inference(iff_proxy_clausification,[],[f14])).
% 0.23/0.32 thf(f40,plain,(
% 0.23/0.32 (((f0 @ sF9)) = $true) | ($false = sF10)),
% 0.23/0.32 inference(iff_proxy_clausification,[],[f20])).
% 0.23/0.32 thf(f41,plain,(
% 0.23/0.32 (sF10 = $true) | ($false = ((f0 @ sF9)))),
% 0.23/0.32 inference(iff_proxy_clausification,[],[f20])).
% 0.23/0.32 thf(f42,plain,(
% 0.23/0.32 (sF4 = $true) | ($false = ((f0 @ sF3)))),
% 0.23/0.32 inference(iff_proxy_clausification,[],[f12])).
% 0.23/0.32 thf(f43,plain,(
% 0.23/0.32 ($true = ((f0 @ sF3))) | (sF4 = $false)),
% 0.23/0.32 inference(iff_proxy_clausification,[],[f12])).
% 0.23/0.32 thf(f44,plain,(
% 0.23/0.32 (sF10 = $true) | (sF4 = $true)),
% 0.23/0.32 inference(xor_proxy_clausification,[],[f21])).
% 0.23/0.32 thf(f45,plain,(
% 0.23/0.32 (sF4 = $false) | ($false = sF10)),
% 0.23/0.32 inference(xor_proxy_clausification,[],[f21])).
% 0.23/0.32 thf(f47,definition,(
% 0.23/0.32 spl11_1 <=> (sF6 = $false)),
% 0.23/0.32 introduced(definition,[new_symbols(definition,[spl11_1])],[avatar_definition])).
% 0.23/0.32 thf(f49,plain,(
% 0.23/0.32 (sF6 = $false) | ~spl11_1),
% 0.23/0.32 inference(avatar_component_clause,[],[f47])).
% 0.23/0.32 thf(f51,definition,(
% 0.23/0.32 spl11_2 <=> (((f2 @ sF5)) = $true)),
% 0.23/0.32 introduced(definition,[new_symbols(definition,[spl11_2])],[avatar_definition])).
% 0.23/0.32 thf(f52,plain,(
% 0.23/0.32 (((f2 @ sF5)) != $true) | spl11_2),
% 0.23/0.32 inference(avatar_component_clause,[],[f51])).
% 0.23/0.32 thf(f53,plain,(
% 0.23/0.32 (((f2 @ sF5)) = $true) | ~spl11_2),
% 0.23/0.32 inference(avatar_component_clause,[],[f51])).
% 0.23/0.32 thf(f54,plain,(
% 0.23/0.32 spl11_1 | spl11_2),
% 0.23/0.32 inference(avatar_split_clause,[],[f23,f51,f47])).
% 0.23/0.32 thf(f56,definition,(
% 0.23/0.32 spl11_3 <=> ($false = ((f2 @ sF5)))),
% 0.23/0.32 introduced(definition,[new_symbols(definition,[spl11_3])],[avatar_definition])).
% 0.23/0.32 thf(f57,plain,(
% 0.23/0.32 ($false != ((f2 @ sF5))) | spl11_3),
% 0.23/0.32 inference(avatar_component_clause,[],[f56])).
% 0.23/0.32 thf(f58,plain,(
% 0.23/0.32 ($false = ((f2 @ sF5))) | ~spl11_3),
% 0.23/0.32 inference(avatar_component_clause,[],[f56])).
% 0.23/0.32 thf(f60,definition,(
% 0.23/0.32 spl11_4 <=> (sF6 = $true)),
% 0.23/0.32 introduced(definition,[new_symbols(definition,[spl11_4])],[avatar_definition])).
% 0.23/0.32 thf(f62,plain,(
% 0.23/0.32 (sF6 = $true) | ~spl11_4),
% 0.23/0.32 inference(avatar_component_clause,[],[f60])).
% 0.23/0.32 thf(f63,plain,(
% 0.23/0.32 spl11_3 | spl11_4),
% 0.23/0.32 inference(avatar_split_clause,[],[f22,f60,f56])).
% 0.23/0.32 thf(f65,definition,(
% 0.23/0.32 spl11_5 <=> (sF7 = $false)),
% 0.23/0.32 introduced(definition,[new_symbols(definition,[spl11_5])],[avatar_definition])).
% 0.23/0.32 thf(f67,plain,(
% 0.23/0.32 (sF7 = $false) | ~spl11_5),
% 0.23/0.32 inference(avatar_component_clause,[],[f65])).
% 0.23/0.32 thf(f69,definition,(
% 0.23/0.32 spl11_6 <=> (((f1 @ sF6)) = $true)),
% 0.23/0.32 introduced(definition,[new_symbols(definition,[spl11_6])],[avatar_definition])).
% 0.23/0.32 thf(f71,plain,(
% 0.23/0.32 (((f1 @ sF6)) = $true) | ~spl11_6),
% 0.23/0.32 inference(avatar_component_clause,[],[f69])).
% 0.23/0.32 thf(f72,plain,(
% 0.23/0.32 spl11_5 | spl11_6),
% 0.23/0.32 inference(avatar_split_clause,[],[f25,f69,f65])).
% 0.23/0.32 thf(f74,definition,(
% 0.23/0.32 spl11_7 <=> ($false = ((f1 @ sF6)))),
% 0.23/0.32 introduced(definition,[new_symbols(definition,[spl11_7])],[avatar_definition])).
% 0.23/0.32 thf(f76,plain,(
% 0.23/0.32 ($false = ((f1 @ sF6))) | ~spl11_7),
% 0.23/0.32 inference(avatar_component_clause,[],[f74])).
% 0.23/0.32 thf(f78,definition,(
% 0.23/0.32 spl11_8 <=> (sF7 = $true)),
% 0.23/0.32 introduced(definition,[new_symbols(definition,[spl11_8])],[avatar_definition])).
% 0.23/0.32 thf(f79,plain,(
% 0.23/0.32 (sF7 != $true) | spl11_8),
% 0.23/0.32 inference(avatar_component_clause,[],[f78])).
% 0.23/0.32 thf(f80,plain,(
% 0.23/0.32 (sF7 = $true) | ~spl11_8),
% 0.23/0.32 inference(avatar_component_clause,[],[f78])).
% 0.23/0.32 thf(f81,plain,(
% 0.23/0.32 spl11_7 | spl11_8),
% 0.23/0.32 inference(avatar_split_clause,[],[f24,f78,f74])).
% 0.23/0.32 thf(f83,definition,(
% 0.23/0.32 spl11_9 <=> ($false = sF2)),
% 0.23/0.32 introduced(definition,[new_symbols(definition,[spl11_9])],[avatar_definition])).
% 0.23/0.32 thf(f84,plain,(
% 0.23/0.32 ($false != sF2) | spl11_9),
% 0.23/0.32 inference(avatar_component_clause,[],[f83])).
% 0.23/0.32 thf(f85,plain,(
% 0.23/0.32 ($false = sF2) | ~spl11_9),
% 0.23/0.32 inference(avatar_component_clause,[],[f83])).
% 0.23/0.32 thf(f87,definition,(
% 0.23/0.32 spl11_10 <=> (((f1 @ sF1)) = $true)),
% 0.23/0.32 introduced(definition,[new_symbols(definition,[spl11_10])],[avatar_definition])).
% 0.23/0.32 thf(f89,plain,(
% 0.23/0.32 (((f1 @ sF1)) = $true) | ~spl11_10),
% 0.23/0.32 inference(avatar_component_clause,[],[f87])).
% 0.23/0.32 thf(f90,plain,(
% 0.23/0.32 spl11_9 | spl11_10),
% 0.23/0.32 inference(avatar_split_clause,[],[f27,f87,f83])).
% 0.23/0.32 thf(f92,definition,(
% 0.23/0.32 spl11_11 <=> ($false = ((f1 @ sF1)))),
% 0.23/0.32 introduced(definition,[new_symbols(definition,[spl11_11])],[avatar_definition])).
% 0.23/0.32 thf(f94,plain,(
% 0.23/0.32 ($false = ((f1 @ sF1))) | ~spl11_11),
% 0.23/0.32 inference(avatar_component_clause,[],[f92])).
% 0.23/0.32 thf(f96,definition,(
% 0.23/0.32 spl11_12 <=> (sF2 = $true)),
% 0.23/0.32 introduced(definition,[new_symbols(definition,[spl11_12])],[avatar_definition])).
% 0.23/0.32 thf(f97,plain,(
% 0.23/0.32 (sF2 != $true) | spl11_12),
% 0.23/0.32 inference(avatar_component_clause,[],[f96])).
% 0.23/0.32 thf(f98,plain,(
% 0.23/0.32 (sF2 = $true) | ~spl11_12),
% 0.23/0.32 inference(avatar_component_clause,[],[f96])).
% 0.23/0.32 thf(f99,plain,(
% 0.23/0.32 spl11_11 | spl11_12),
% 0.23/0.32 inference(avatar_split_clause,[],[f26,f96,f92])).
% 0.23/0.32 thf(f101,definition,(
% 0.23/0.32 spl11_13 <=> ($false = sF1)),
% 0.23/0.32 introduced(definition,[new_symbols(definition,[spl11_13])],[avatar_definition])).
% 0.23/0.32 thf(f103,plain,(
% 0.23/0.32 ($false = sF1) | ~spl11_13),
% 0.23/0.32 inference(avatar_component_clause,[],[f101])).
% 0.23/0.32 thf(f105,definition,(
% 0.23/0.32 spl11_14 <=> (((f1 @ sF0)) = $true)),
% 0.23/0.32 introduced(definition,[new_symbols(definition,[spl11_14])],[avatar_definition])).
% 0.23/0.32 thf(f106,plain,(
% 0.23/0.32 (((f1 @ sF0)) != $true) | spl11_14),
% 0.23/0.32 inference(avatar_component_clause,[],[f105])).
% 0.23/0.32 thf(f107,plain,(
% 0.23/0.32 (((f1 @ sF0)) = $true) | ~spl11_14),
% 0.23/0.32 inference(avatar_component_clause,[],[f105])).
% 0.23/0.32 thf(f108,plain,(
% 0.23/0.32 spl11_13 | spl11_14),
% 0.23/0.32 inference(avatar_split_clause,[],[f29,f105,f101])).
% 0.23/0.32 thf(f110,definition,(
% 0.23/0.32 spl11_15 <=> (sF1 = $true)),
% 0.23/0.32 introduced(definition,[new_symbols(definition,[spl11_15])],[avatar_definition])).
% 0.23/0.32 thf(f111,plain,(
% 0.23/0.32 (sF1 != $true) | spl11_15),
% 0.23/0.32 inference(avatar_component_clause,[],[f110])).
% 0.23/0.32 thf(f112,plain,(
% 0.23/0.32 (sF1 = $true) | ~spl11_15),
% 0.23/0.32 inference(avatar_component_clause,[],[f110])).
% 0.23/0.32 thf(f114,definition,(
% 0.23/0.32 spl11_16 <=> ($false = ((f1 @ sF0)))),
% 0.23/0.32 introduced(definition,[new_symbols(definition,[spl11_16])],[avatar_definition])).
% 0.23/0.32 thf(f116,plain,(
% 0.23/0.32 ($false = ((f1 @ sF0))) | ~spl11_16),
% 0.23/0.32 inference(avatar_component_clause,[],[f114])).
% 0.23/0.32 thf(f117,plain,(
% 0.23/0.32 spl11_15 | spl11_16),
% 0.23/0.32 inference(avatar_split_clause,[],[f28,f114,f110])).
% 0.23/0.32 thf(f119,definition,(
% 0.23/0.32 spl11_17 <=> (sF3 = $false)),
% 0.23/0.32 introduced(definition,[new_symbols(definition,[spl11_17])],[avatar_definition])).
% 0.23/0.32 thf(f121,plain,(
% 0.23/0.32 (sF3 = $false) | ~spl11_17),
% 0.23/0.32 inference(avatar_component_clause,[],[f119])).
% 0.23/0.32 thf(f123,definition,(
% 0.23/0.32 spl11_18 <=> (((f1 @ sF2)) = $true)),
% 0.23/0.32 introduced(definition,[new_symbols(definition,[spl11_18])],[avatar_definition])).
% 0.23/0.32 thf(f125,plain,(
% 0.23/0.32 (((f1 @ sF2)) = $true) | ~spl11_18),
% 0.23/0.32 inference(avatar_component_clause,[],[f123])).
% 0.23/0.32 thf(f126,plain,(
% 0.23/0.32 spl11_17 | spl11_18),
% 0.23/0.32 inference(avatar_split_clause,[],[f31,f123,f119])).
% 0.23/0.32 thf(f128,definition,(
% 0.23/0.32 spl11_19 <=> (sF3 = $true)),
% 0.23/0.32 introduced(definition,[new_symbols(definition,[spl11_19])],[avatar_definition])).
% 0.23/0.32 thf(f130,plain,(
% 0.23/0.32 (sF3 = $true) | ~spl11_19),
% 0.23/0.32 inference(avatar_component_clause,[],[f128])).
% 0.23/0.32 thf(f132,definition,(
% 0.23/0.32 spl11_20 <=> (((f1 @ sF2)) = $false)),
% 0.23/0.32 introduced(definition,[new_symbols(definition,[spl11_20])],[avatar_definition])).
% 0.23/0.32 thf(f134,plain,(
% 0.23/0.32 (((f1 @ sF2)) = $false) | ~spl11_20),
% 0.23/0.32 inference(avatar_component_clause,[],[f132])).
% 0.23/0.32 thf(f135,plain,(
% 0.23/0.32 spl11_19 | spl11_20),
% 0.23/0.32 inference(avatar_split_clause,[],[f30,f132,f128])).
% 0.23/0.32 thf(f137,definition,(
% 0.23/0.32 spl11_21 <=> (sF0 = $true)),
% 0.23/0.32 introduced(definition,[new_symbols(definition,[spl11_21])],[avatar_definition])).
% 0.23/0.32 thf(f138,plain,(
% 0.23/0.32 (sF0 != $true) | spl11_21),
% 0.23/0.32 inference(avatar_component_clause,[],[f137])).
% 0.23/0.32 thf(f139,plain,(
% 0.23/0.32 (sF0 = $true) | ~spl11_21),
% 0.23/0.32 inference(avatar_component_clause,[],[f137])).
% 0.23/0.32 thf(f141,definition,(
% 0.23/0.32 spl11_22 <=> (((f2 @ x)) = $false)),
% 0.23/0.32 introduced(definition,[new_symbols(definition,[spl11_22])],[avatar_definition])).
% 0.23/0.32 thf(f142,plain,(
% 0.23/0.32 (((f2 @ x)) != $false) | spl11_22),
% 0.23/0.32 inference(avatar_component_clause,[],[f141])).
% 0.23/0.32 thf(f143,plain,(
% 0.23/0.32 (((f2 @ x)) = $false) | ~spl11_22),
% 0.23/0.32 inference(avatar_component_clause,[],[f141])).
% 0.23/0.32 thf(f144,plain,(
% 0.23/0.32 spl11_21 | spl11_22),
% 0.23/0.32 inference(avatar_split_clause,[],[f33,f141,f137])).
% 0.23/0.32 thf(f146,definition,(
% 0.23/0.32 spl11_23 <=> ($false = sF0)),
% 0.23/0.32 introduced(definition,[new_symbols(definition,[spl11_23])],[avatar_definition])).
% 0.23/0.32 thf(f148,plain,(
% 0.23/0.32 ($false = sF0) | ~spl11_23),
% 0.23/0.32 inference(avatar_component_clause,[],[f146])).
% 0.23/0.32 thf(f150,definition,(
% 0.23/0.32 spl11_24 <=> (((f2 @ x)) = $true)),
% 0.23/0.32 introduced(definition,[new_symbols(definition,[spl11_24])],[avatar_definition])).
% 0.23/0.32 thf(f152,plain,(
% 0.23/0.32 (((f2 @ x)) = $true) | ~spl11_24),
% 0.23/0.32 inference(avatar_component_clause,[],[f150])).
% 0.23/0.32 thf(f153,plain,(
% 0.23/0.32 spl11_23 | spl11_24),
% 0.23/0.32 inference(avatar_split_clause,[],[f32,f150,f146])).
% 0.23/0.32 thf(f155,definition,(
% 0.23/0.32 spl11_25 <=> (sF8 = $false)),
% 0.23/0.32 introduced(definition,[new_symbols(definition,[spl11_25])],[avatar_definition])).
% 0.23/0.32 thf(f157,plain,(
% 0.23/0.32 (sF8 = $false) | ~spl11_25),
% 0.23/0.32 inference(avatar_component_clause,[],[f155])).
% 0.23/0.32 thf(f159,definition,(
% 0.23/0.32 spl11_26 <=> (((f0 @ sF7)) = $true)),
% 0.23/0.32 introduced(definition,[new_symbols(definition,[spl11_26])],[avatar_definition])).
% 0.23/0.32 thf(f161,plain,(
% 0.23/0.32 (((f0 @ sF7)) = $true) | ~spl11_26),
% 0.23/0.32 inference(avatar_component_clause,[],[f159])).
% 0.23/0.32 thf(f162,plain,(
% 0.23/0.32 spl11_25 | spl11_26),
% 0.23/0.32 inference(avatar_split_clause,[],[f35,f159,f155])).
% 0.23/0.32 thf(f164,definition,(
% 0.23/0.32 spl11_27 <=> (sF8 = $true)),
% 0.23/0.32 introduced(definition,[new_symbols(definition,[spl11_27])],[avatar_definition])).
% 0.23/0.32 thf(f165,plain,(
% 0.23/0.32 (sF8 != $true) | spl11_27),
% 0.23/0.32 inference(avatar_component_clause,[],[f164])).
% 0.23/0.32 thf(f166,plain,(
% 0.23/0.32 (sF8 = $true) | ~spl11_27),
% 0.23/0.32 inference(avatar_component_clause,[],[f164])).
% 0.23/0.32 thf(f168,definition,(
% 0.23/0.32 spl11_28 <=> (((f0 @ sF7)) = $false)),
% 0.23/0.32 introduced(definition,[new_symbols(definition,[spl11_28])],[avatar_definition])).
% 0.23/0.32 thf(f170,plain,(
% 0.23/0.32 (((f0 @ sF7)) = $false) | ~spl11_28),
% 0.23/0.32 inference(avatar_component_clause,[],[f168])).
% 0.23/0.32 thf(f171,plain,(
% 0.23/0.32 spl11_27 | spl11_28),
% 0.23/0.32 inference(avatar_split_clause,[],[f34,f168,f164])).
% 0.23/0.32 thf(f173,definition,(
% 0.23/0.32 spl11_29 <=> ($false = sF9)),
% 0.23/0.32 introduced(definition,[new_symbols(definition,[spl11_29])],[avatar_definition])).
% 0.23/0.32 thf(f175,plain,(
% 0.23/0.32 ($false = sF9) | ~spl11_29),
% 0.23/0.32 inference(avatar_component_clause,[],[f173])).
% 0.23/0.32 thf(f177,definition,(
% 0.23/0.32 spl11_30 <=> (((f0 @ sF8)) = $true)),
% 0.23/0.32 introduced(definition,[new_symbols(definition,[spl11_30])],[avatar_definition])).
% 0.23/0.32 thf(f178,plain,(
% 0.23/0.32 (((f0 @ sF8)) != $true) | spl11_30),
% 0.23/0.32 inference(avatar_component_clause,[],[f177])).
% 0.23/0.32 thf(f179,plain,(
% 0.23/0.32 (((f0 @ sF8)) = $true) | ~spl11_30),
% 0.23/0.32 inference(avatar_component_clause,[],[f177])).
% 0.23/0.32 thf(f180,plain,(
% 0.23/0.32 spl11_29 | spl11_30),
% 0.23/0.32 inference(avatar_split_clause,[],[f37,f177,f173])).
% 0.23/0.32 thf(f182,definition,(
% 0.23/0.32 spl11_31 <=> (sF9 = $true)),
% 0.23/0.32 introduced(definition,[new_symbols(definition,[spl11_31])],[avatar_definition])).
% 0.23/0.32 thf(f183,plain,(
% 0.23/0.32 (sF9 != $true) | spl11_31),
% 0.23/0.32 inference(avatar_component_clause,[],[f182])).
% 0.23/0.32 thf(f184,plain,(
% 0.23/0.32 (sF9 = $true) | ~spl11_31),
% 0.23/0.32 inference(avatar_component_clause,[],[f182])).
% 0.23/0.32 thf(f186,definition,(
% 0.23/0.32 spl11_32 <=> ($false = ((f0 @ sF8)))),
% 0.23/0.32 introduced(definition,[new_symbols(definition,[spl11_32])],[avatar_definition])).
% 0.23/0.32 thf(f188,plain,(
% 0.23/0.32 ($false = ((f0 @ sF8))) | ~spl11_32),
% 0.23/0.32 inference(avatar_component_clause,[],[f186])).
% 0.23/0.32 thf(f189,plain,(
% 0.23/0.32 spl11_31 | spl11_32),
% 0.23/0.32 inference(avatar_split_clause,[],[f36,f186,f182])).
% 0.23/0.32 thf(f191,definition,(
% 0.23/0.32 spl11_33 <=> ($false = ((f2 @ sF0)))),
% 0.23/0.32 introduced(definition,[new_symbols(definition,[spl11_33])],[avatar_definition])).
% 0.23/0.32 thf(f192,plain,(
% 0.23/0.32 ($false != ((f2 @ sF0))) | spl11_33),
% 0.23/0.32 inference(avatar_component_clause,[],[f191])).
% 0.23/0.32 thf(f193,plain,(
% 0.23/0.32 ($false = ((f2 @ sF0))) | ~spl11_33),
% 0.23/0.32 inference(avatar_component_clause,[],[f191])).
% 0.23/0.32 thf(f195,definition,(
% 0.23/0.32 spl11_34 <=> (sF5 = $true)),
% 0.23/0.32 introduced(definition,[new_symbols(definition,[spl11_34])],[avatar_definition])).
% 0.23/0.32 thf(f196,plain,(
% 0.23/0.32 (sF5 != $true) | spl11_34),
% 0.23/0.32 inference(avatar_component_clause,[],[f195])).
% 0.23/0.32 thf(f197,plain,(
% 0.23/0.32 (sF5 = $true) | ~spl11_34),
% 0.23/0.32 inference(avatar_component_clause,[],[f195])).
% 0.23/0.32 thf(f198,plain,(
% 0.23/0.32 spl11_33 | spl11_34),
% 0.23/0.32 inference(avatar_split_clause,[],[f39,f195,f191])).
% 0.23/0.32 thf(f200,definition,(
% 0.23/0.32 spl11_35 <=> (((f2 @ sF0)) = $true)),
% 0.23/0.32 introduced(definition,[new_symbols(definition,[spl11_35])],[avatar_definition])).
% 0.23/0.32 thf(f202,plain,(
% 0.23/0.32 (((f2 @ sF0)) = $true) | ~spl11_35),
% 0.23/0.32 inference(avatar_component_clause,[],[f200])).
% 0.23/0.32 thf(f204,definition,(
% 0.23/0.32 spl11_36 <=> ($false = sF5)),
% 0.23/0.32 introduced(definition,[new_symbols(definition,[spl11_36])],[avatar_definition])).
% 0.23/0.32 thf(f206,plain,(
% 0.23/0.32 ($false = sF5) | ~spl11_36),
% 0.23/0.32 inference(avatar_component_clause,[],[f204])).
% 0.23/0.32 thf(f207,plain,(
% 0.23/0.32 spl11_35 | spl11_36),
% 0.23/0.32 inference(avatar_split_clause,[],[f38,f204,f200])).
% 0.23/0.32 thf(f209,definition,(
% 0.23/0.32 spl11_37 <=> ($false = ((f0 @ sF9)))),
% 0.23/0.32 introduced(definition,[new_symbols(definition,[spl11_37])],[avatar_definition])).
% 0.23/0.32 thf(f211,plain,(
% 0.23/0.32 ($false = ((f0 @ sF9))) | ~spl11_37),
% 0.23/0.32 inference(avatar_component_clause,[],[f209])).
% 0.23/0.32 thf(f213,definition,(
% 0.23/0.32 spl11_38 <=> (sF10 = $true)),
% 0.23/0.32 introduced(definition,[new_symbols(definition,[spl11_38])],[avatar_definition])).
% 0.23/0.32 thf(f215,plain,(
% 0.23/0.32 (sF10 = $true) | ~spl11_38),
% 0.23/0.32 inference(avatar_component_clause,[],[f213])).
% 0.23/0.32 thf(f216,plain,(
% 0.23/0.32 spl11_37 | spl11_38),
% 0.23/0.32 inference(avatar_split_clause,[],[f41,f213,f209])).
% 0.23/0.32 thf(f218,definition,(
% 0.23/0.32 spl11_39 <=> ($false = sF10)),
% 0.23/0.32 introduced(definition,[new_symbols(definition,[spl11_39])],[avatar_definition])).
% 0.23/0.32 thf(f220,plain,(
% 0.23/0.32 ($false = sF10) | ~spl11_39),
% 0.23/0.32 inference(avatar_component_clause,[],[f218])).
% 0.23/0.32 thf(f222,definition,(
% 0.23/0.32 spl11_40 <=> (((f0 @ sF9)) = $true)),
% 0.23/0.32 introduced(definition,[new_symbols(definition,[spl11_40])],[avatar_definition])).
% 0.23/0.32 thf(f224,plain,(
% 0.23/0.32 (((f0 @ sF9)) = $true) | ~spl11_40),
% 0.23/0.32 inference(avatar_component_clause,[],[f222])).
% 0.23/0.32 thf(f225,plain,(
% 0.23/0.32 spl11_39 | spl11_40),
% 0.23/0.32 inference(avatar_split_clause,[],[f40,f222,f218])).
% 0.23/0.32 thf(f227,definition,(
% 0.23/0.32 spl11_41 <=> ($true = ((f0 @ sF3)))),
% 0.23/0.32 introduced(definition,[new_symbols(definition,[spl11_41])],[avatar_definition])).
% 0.23/0.32 thf(f229,plain,(
% 0.23/0.32 ($true = ((f0 @ sF3))) | ~spl11_41),
% 0.23/0.32 inference(avatar_component_clause,[],[f227])).
% 0.23/0.32 thf(f231,definition,(
% 0.23/0.32 spl11_42 <=> (sF4 = $false)),
% 0.23/0.32 introduced(definition,[new_symbols(definition,[spl11_42])],[avatar_definition])).
% 0.23/0.32 thf(f233,plain,(
% 0.23/0.32 (sF4 = $false) | ~spl11_42),
% 0.23/0.32 inference(avatar_component_clause,[],[f231])).
% 0.23/0.32 thf(f234,plain,(
% 0.23/0.32 spl11_41 | spl11_42),
% 0.23/0.32 inference(avatar_split_clause,[],[f43,f231,f227])).
% 0.23/0.32 thf(f236,definition,(
% 0.23/0.32 spl11_43 <=> (sF4 = $true)),
% 0.23/0.32 introduced(definition,[new_symbols(definition,[spl11_43])],[avatar_definition])).
% 0.23/0.32 thf(f238,plain,(
% 0.23/0.32 (sF4 = $true) | ~spl11_43),
% 0.23/0.32 inference(avatar_component_clause,[],[f236])).
% 0.23/0.32 thf(f240,definition,(
% 0.23/0.32 spl11_44 <=> ($false = ((f0 @ sF3)))),
% 0.23/0.32 introduced(definition,[new_symbols(definition,[spl11_44])],[avatar_definition])).
% 0.23/0.32 thf(f242,plain,(
% 0.23/0.32 ($false = ((f0 @ sF3))) | ~spl11_44),
% 0.23/0.32 inference(avatar_component_clause,[],[f240])).
% 0.23/0.32 thf(f243,plain,(
% 0.23/0.32 spl11_43 | spl11_44),
% 0.23/0.32 inference(avatar_split_clause,[],[f42,f240,f236])).
% 0.23/0.32 thf(f244,plain,(
% 0.23/0.32 spl11_42 | spl11_39),
% 0.23/0.32 inference(avatar_split_clause,[],[f45,f218,f231])).
% 0.23/0.32 thf(f245,plain,(
% 0.23/0.32 spl11_38 | spl11_43),
% 0.23/0.32 inference(avatar_split_clause,[],[f44,f236,f213])).
% 0.23/0.32 thf(f259,plain,(
% 0.23/0.32 ($false = $true) | (~spl11_13 | ~spl11_15)),
% 0.23/0.32 inference(forward_demodulation,[],[f112,f103])).
% 0.23/0.32 thf(f260,plain,(
% 0.23/0.32 $false | (~spl11_13 | ~spl11_15)),
% 0.23/0.32 inference(trivial_inequality_removal,[],[f259])).
% 0.23/0.32 thf(f261,plain,(
% 0.23/0.32 ~spl11_13 | ~spl11_15),
% 0.23/0.32 inference(avatar_contradiction_clause,[],[f260])).
% 0.23/0.32 thf(f269,plain,(
% 0.23/0.32 (((f1 @ $false)) = $true) | (~spl11_9 | ~spl11_18)),
% 0.23/0.32 inference(forward_demodulation,[],[f125,f85])).
% 0.23/0.32 thf(f275,plain,(
% 0.23/0.32 ($false = sF0) | ($true != $true) | spl11_21),
% 0.23/0.32 inference(constrained_superposition,[],[f138,f6])).
% 0.23/0.32 thf(f276,plain,(
% 0.23/0.32 ($false = sF0) | spl11_21),
% 0.23/0.32 inference(trivial_inequality_removal,[],[f275])).
% 0.23/0.32 thf(f277,plain,(
% 0.23/0.32 spl11_23 | spl11_21),
% 0.23/0.32 inference(avatar_split_clause,[],[f276,f137,f146])).
% 0.23/0.32 thf(f283,plain,(
% 0.23/0.32 ($false = $true) | (~spl11_25 | ~spl11_27)),
% 0.23/0.32 inference(forward_demodulation,[],[f166,f157])).
% 0.23/0.32 thf(f284,plain,(
% 0.23/0.32 $false | (~spl11_25 | ~spl11_27)),
% 0.23/0.32 inference(trivial_inequality_removal,[],[f283])).
% 0.23/0.32 thf(f285,plain,(
% 0.23/0.32 ~spl11_25 | ~spl11_27),
% 0.23/0.32 inference(avatar_contradiction_clause,[],[f284])).
% 0.23/0.32 thf(f291,plain,(
% 0.23/0.32 ($false = $true) | (~spl11_29 | ~spl11_31)),
% 0.23/0.32 inference(forward_demodulation,[],[f184,f175])).
% 0.23/0.32 thf(f292,plain,(
% 0.23/0.32 $false | (~spl11_29 | ~spl11_31)),
% 0.23/0.32 inference(trivial_inequality_removal,[],[f291])).
% 0.23/0.32 thf(f293,plain,(
% 0.23/0.32 ~spl11_29 | ~spl11_31),
% 0.23/0.32 inference(avatar_contradiction_clause,[],[f292])).
% 0.23/0.32 thf(f294,plain,(
% 0.23/0.32 (((f0 @ $true)) = $true) | (~spl11_27 | ~spl11_30)),
% 0.23/0.32 inference(forward_demodulation,[],[f179,f166])).
% 0.23/0.32 thf(f301,definition,(
% 0.23/0.32 spl11_45 <=> (((f2 @ $true)) = $true)),
% 0.23/0.32 introduced(definition,[new_symbols(definition,[spl11_45])],[avatar_definition])).
% 0.23/0.32 thf(f308,plain,(
% 0.23/0.32 ($false = $true) | (~spl11_2 | ~spl11_3)),
% 0.23/0.32 inference(forward_demodulation,[],[f58,f53])).
% 0.23/0.32 thf(f309,plain,(
% 0.23/0.32 $false | (~spl11_2 | ~spl11_3)),
% 0.23/0.32 inference(trivial_inequality_removal,[],[f308])).
% 0.23/0.32 thf(f310,plain,(
% 0.23/0.32 ~spl11_2 | ~spl11_3),
% 0.23/0.32 inference(avatar_contradiction_clause,[],[f309])).
% 0.23/0.32 thf(f316,plain,(
% 0.23/0.32 ($false = ((f1 @ $true))) | (~spl11_11 | ~spl11_15)),
% 0.23/0.32 inference(forward_demodulation,[],[f94,f112])).
% 0.23/0.32 thf(f322,definition,(
% 0.23/0.32 spl11_46 <=> ($false = ((f2 @ $true)))),
% 0.23/0.32 introduced(definition,[new_symbols(definition,[spl11_46])],[avatar_definition])).
% 0.23/0.32 thf(f326,definition,(
% 0.23/0.32 spl11_47 <=> (x = $false)),
% 0.23/0.32 introduced(definition,[new_symbols(definition,[spl11_47])],[avatar_definition])).
% 0.23/0.32 thf(f328,plain,(
% 0.23/0.32 (x = $false) | ~spl11_47),
% 0.23/0.32 inference(avatar_component_clause,[],[f326])).
% 0.23/0.32 thf(f331,plain,(
% 0.23/0.32 (((f1 @ $true)) = $true) | (~spl11_14 | ~spl11_21)),
% 0.23/0.32 inference(forward_demodulation,[],[f107,f139])).
% 0.23/0.32 thf(f332,plain,(
% 0.23/0.32 (x = $false) | ($false != ((f2 @ $true))) | spl11_22),
% 0.23/0.32 inference(constrained_superposition,[],[f142,f6])).
% 0.23/0.32 thf(f334,plain,(
% 0.23/0.32 spl11_47 | ~spl11_46 | spl11_22),
% 0.23/0.32 inference(avatar_split_clause,[],[f332,f141,f322,f326])).
% 0.23/0.32 thf(f338,plain,(
% 0.23/0.32 ($false = ((f2 @ $true))) | (~spl11_21 | ~spl11_33)),
% 0.23/0.32 inference(forward_demodulation,[],[f193,f139])).
% 0.23/0.32 thf(f339,plain,(
% 0.23/0.32 spl11_46 | ~spl11_21 | ~spl11_33),
% 0.23/0.32 inference(avatar_split_clause,[],[f338,f191,f137,f322])).
% 0.23/0.32 thf(f340,plain,(
% 0.23/0.32 ($false != ((f2 @ $true))) | (~spl11_21 | spl11_33)),
% 0.23/0.32 inference(forward_demodulation,[],[f192,f139])).
% 0.23/0.32 thf(f344,plain,(
% 0.23/0.32 ~spl11_46 | ~spl11_21 | spl11_33),
% 0.23/0.32 inference(avatar_split_clause,[],[f340,f191,f137,f322])).
% 0.23/0.32 thf(f346,plain,(
% 0.23/0.32 (((f2 @ $true)) != $true) | (spl11_2 | ~spl11_34)),
% 0.23/0.32 inference(forward_demodulation,[],[f52,f197])).
% 0.23/0.32 thf(f347,plain,(
% 0.23/0.32 ~spl11_45 | spl11_2 | ~spl11_34),
% 0.23/0.32 inference(avatar_split_clause,[],[f346,f195,f51,f301])).
% 0.23/0.32 thf(f348,plain,(
% 0.23/0.32 ($false = $true) | (~spl11_1 | ~spl11_4)),
% 0.23/0.32 inference(forward_demodulation,[],[f62,f49])).
% 0.23/0.32 thf(f349,plain,(
% 0.23/0.32 $false | (~spl11_1 | ~spl11_4)),
% 0.23/0.32 inference(trivial_inequality_removal,[],[f348])).
% 0.23/0.32 thf(f350,plain,(
% 0.23/0.32 ~spl11_1 | ~spl11_4),
% 0.23/0.32 inference(avatar_contradiction_clause,[],[f349])).
% 0.23/0.32 thf(f351,plain,(
% 0.23/0.32 ($false != ((f2 @ $true))) | (spl11_3 | ~spl11_34)),
% 0.23/0.32 inference(forward_demodulation,[],[f57,f197])).
% 0.23/0.32 thf(f353,plain,(
% 0.23/0.32 ~spl11_46 | spl11_3 | ~spl11_34),
% 0.23/0.32 inference(avatar_split_clause,[],[f351,f195,f56,f322])).
% 0.23/0.32 thf(f358,plain,(
% 0.23/0.32 (((f2 @ $true)) = $true) | (~spl11_21 | ~spl11_35)),
% 0.23/0.32 inference(forward_demodulation,[],[f202,f139])).
% 0.23/0.32 thf(f359,plain,(
% 0.23/0.32 spl11_45 | ~spl11_21 | ~spl11_35),
% 0.23/0.32 inference(avatar_split_clause,[],[f358,f200,f137,f301])).
% 0.23/0.32 thf(f360,plain,(
% 0.23/0.32 (((f0 @ $true)) = $false) | (~spl11_31 | ~spl11_37)),
% 0.23/0.32 inference(forward_demodulation,[],[f211,f184])).
% 0.23/0.32 thf(f361,plain,(
% 0.23/0.32 (((f0 @ $true)) = $true) | (~spl11_19 | ~spl11_41)),
% 0.23/0.32 inference(forward_demodulation,[],[f229,f130])).
% 0.23/0.32 thf(f369,plain,(
% 0.23/0.32 ($false = $true) | (~spl11_11 | ~spl11_14 | ~spl11_15 | ~spl11_21)),
% 0.23/0.32 inference(forward_demodulation,[],[f331,f316])).
% 0.23/0.32 thf(f370,plain,(
% 0.23/0.32 $false | (~spl11_11 | ~spl11_14 | ~spl11_15 | ~spl11_21)),
% 0.23/0.32 inference(trivial_inequality_removal,[],[f369])).
% 0.23/0.32 thf(f371,plain,(
% 0.23/0.32 ~spl11_11 | ~spl11_14 | ~spl11_15 | ~spl11_21),
% 0.23/0.32 inference(avatar_contradiction_clause,[],[f370])).
% 0.23/0.32 thf(f372,plain,(
% 0.23/0.32 ($false = ((f2 @ $true))) | (~spl11_3 | ~spl11_34)),
% 0.23/0.32 inference(forward_demodulation,[],[f58,f197])).
% 0.23/0.32 thf(f374,plain,(
% 0.23/0.32 spl11_46 | ~spl11_3 | ~spl11_34),
% 0.23/0.32 inference(avatar_split_clause,[],[f372,f195,f56,f322])).
% 0.23/0.32 thf(f383,plain,(
% 0.23/0.32 ($false = ((f1 @ $false))) | (~spl11_1 | ~spl11_7)),
% 0.23/0.32 inference(forward_demodulation,[],[f76,f49])).
% 0.23/0.32 thf(f384,plain,(
% 0.23/0.32 ($false = $true) | (~spl11_1 | ~spl11_7 | ~spl11_9 | ~spl11_18)),
% 0.23/0.32 inference(forward_demodulation,[],[f383,f269])).
% 0.23/0.32 thf(f385,plain,(
% 0.23/0.32 $false | (~spl11_1 | ~spl11_7 | ~spl11_9 | ~spl11_18)),
% 0.23/0.32 inference(trivial_inequality_removal,[],[f384])).
% 0.23/0.32 thf(f386,plain,(
% 0.23/0.32 ~spl11_1 | ~spl11_7 | ~spl11_9 | ~spl11_18),
% 0.23/0.32 inference(avatar_contradiction_clause,[],[f385])).
% 0.23/0.32 thf(f388,plain,(
% 0.23/0.32 ($false = $true) | (~spl11_5 | ~spl11_8)),
% 0.23/0.32 inference(forward_demodulation,[],[f80,f67])).
% 0.23/0.32 thf(f389,plain,(
% 0.23/0.32 $false | (~spl11_5 | ~spl11_8)),
% 0.23/0.32 inference(trivial_inequality_removal,[],[f388])).
% 0.23/0.32 thf(f390,plain,(
% 0.23/0.32 ~spl11_5 | ~spl11_8),
% 0.23/0.32 inference(avatar_contradiction_clause,[],[f389])).
% 0.23/0.32 thf(f392,plain,(
% 0.23/0.32 (((f1 @ $false)) = $true) | (~spl11_1 | ~spl11_6)),
% 0.23/0.32 inference(forward_demodulation,[],[f71,f49])).
% 0.23/0.32 thf(f396,plain,(
% 0.23/0.32 ($false = ((f2 @ $true))) | (x = $false) | ~spl11_22),
% 0.23/0.32 inference(constrained_superposition,[],[f143,f6])).
% 0.23/0.32 thf(f399,plain,(
% 0.23/0.32 spl11_47 | spl11_46 | ~spl11_22),
% 0.23/0.32 inference(avatar_split_clause,[],[f396,f141,f322,f326])).
% 0.23/0.32 thf(f403,plain,(
% 0.23/0.32 (((f2 @ $false)) = $true) | (~spl11_23 | ~spl11_35)),
% 0.23/0.32 inference(forward_demodulation,[],[f202,f148])).
% 0.23/0.32 thf(f404,plain,(
% 0.23/0.32 ($false = $true) | (~spl11_27 | ~spl11_30 | ~spl11_31 | ~spl11_37)),
% 0.23/0.32 inference(forward_demodulation,[],[f360,f294])).
% 0.23/0.32 thf(f405,plain,(
% 0.23/0.32 $false | (~spl11_27 | ~spl11_30 | ~spl11_31 | ~spl11_37)),
% 0.23/0.32 inference(trivial_inequality_removal,[],[f404])).
% 0.23/0.32 thf(f406,plain,(
% 0.23/0.32 ~spl11_27 | ~spl11_30 | ~spl11_31 | ~spl11_37),
% 0.23/0.32 inference(avatar_contradiction_clause,[],[f405])).
% 0.23/0.32 thf(f407,plain,(
% 0.23/0.32 (((f0 @ $true)) = $false) | (~spl11_27 | ~spl11_32)),
% 0.23/0.32 inference(forward_demodulation,[],[f188,f166])).
% 0.23/0.32 thf(f408,plain,(
% 0.23/0.32 ($false = $true) | (~spl11_27 | ~spl11_30 | ~spl11_32)),
% 0.23/0.32 inference(forward_demodulation,[],[f407,f294])).
% 0.23/0.32 thf(f409,plain,(
% 0.23/0.32 $false | (~spl11_27 | ~spl11_30 | ~spl11_32)),
% 0.23/0.32 inference(trivial_inequality_removal,[],[f408])).
% 0.23/0.32 thf(f410,plain,(
% 0.23/0.32 ~spl11_27 | ~spl11_30 | ~spl11_32),
% 0.23/0.32 inference(avatar_contradiction_clause,[],[f409])).
% 0.23/0.32 thf(f411,plain,(
% 0.23/0.32 (((f0 @ $true)) = $false) | (~spl11_8 | ~spl11_28)),
% 0.23/0.32 inference(forward_demodulation,[],[f170,f80])).
% 0.23/0.32 thf(f412,plain,(
% 0.23/0.32 ($true != $true) | (sF8 = $false) | spl11_27),
% 0.23/0.32 inference(constrained_superposition,[],[f165,f6])).
% 0.23/0.32 thf(f413,plain,(
% 0.23/0.32 (sF8 = $false) | spl11_27),
% 0.23/0.32 inference(trivial_inequality_removal,[],[f412])).
% 0.23/0.32 thf(f416,plain,(
% 0.23/0.32 spl11_25 | spl11_27),
% 0.23/0.32 inference(avatar_split_clause,[],[f413,f164,f155])).
% 0.23/0.32 thf(f420,plain,(
% 0.23/0.32 ($true != $true) | ($false = sF9) | spl11_31),
% 0.23/0.32 inference(constrained_superposition,[],[f183,f6])).
% 0.23/0.32 thf(f421,plain,(
% 0.23/0.32 ($false = sF9) | spl11_31),
% 0.23/0.32 inference(trivial_inequality_removal,[],[f420])).
% 0.23/0.32 thf(f424,plain,(
% 0.23/0.32 spl11_29 | spl11_31),
% 0.23/0.32 inference(avatar_split_clause,[],[f421,f182,f173])).
% 0.23/0.32 thf(f429,plain,(
% 0.23/0.32 ($false = ((f0 @ $false))) | (~spl11_25 | ~spl11_32)),
% 0.23/0.32 inference(forward_demodulation,[],[f188,f157])).
% 0.23/0.32 thf(f437,plain,(
% 0.23/0.32 ($false = $true) | (~spl11_8 | ~spl11_19 | ~spl11_28 | ~spl11_41)),
% 0.23/0.32 inference(forward_demodulation,[],[f411,f361])).
% 0.23/0.32 thf(f438,plain,(
% 0.23/0.32 $false | (~spl11_8 | ~spl11_19 | ~spl11_28 | ~spl11_41)),
% 0.23/0.32 inference(trivial_inequality_removal,[],[f437])).
% 0.23/0.32 thf(f439,plain,(
% 0.23/0.32 ~spl11_8 | ~spl11_19 | ~spl11_28 | ~spl11_41),
% 0.23/0.32 inference(avatar_contradiction_clause,[],[f438])).
% 0.23/0.32 thf(f448,plain,(
% 0.23/0.32 ($false = ((f1 @ $false))) | (~spl11_16 | ~spl11_23)),
% 0.23/0.32 inference(forward_demodulation,[],[f116,f148])).
% 0.23/0.32 thf(f450,plain,(
% 0.23/0.32 ($false = sF1) | ($true != $true) | spl11_15),
% 0.23/0.32 inference(constrained_superposition,[],[f111,f6])).
% 0.23/0.32 thf(f451,plain,(
% 0.23/0.32 ($false = sF1) | spl11_15),
% 0.23/0.32 inference(trivial_inequality_removal,[],[f450])).
% 0.23/0.32 thf(f454,plain,(
% 0.23/0.32 spl11_13 | spl11_15),
% 0.23/0.32 inference(avatar_split_clause,[],[f451,f110,f101])).
% 0.23/0.32 thf(f466,plain,(
% 0.23/0.32 (((f1 @ $false)) = $true) | (~spl11_10 | ~spl11_13)),
% 0.23/0.32 inference(forward_demodulation,[],[f89,f103])).
% 0.23/0.32 thf(f473,plain,(
% 0.23/0.32 ($false = ((f1 @ $false))) | (~spl11_1 | ~spl11_7)),
% 0.23/0.32 inference(forward_demodulation,[],[f76,f49])).
% 0.23/0.32 thf(f475,plain,(
% 0.23/0.32 ($true != $true) | (sF7 = $false) | spl11_8),
% 0.23/0.32 inference(constrained_superposition,[],[f79,f6])).
% 0.23/0.32 thf(f476,plain,(
% 0.23/0.32 (sF7 = $false) | spl11_8),
% 0.23/0.32 inference(trivial_inequality_removal,[],[f475])).
% 0.23/0.32 thf(f479,plain,(
% 0.23/0.32 spl11_5 | spl11_8),
% 0.23/0.32 inference(avatar_split_clause,[],[f476,f78,f65])).
% 0.23/0.32 thf(f494,plain,(
% 0.23/0.32 ($false = $true) | (~spl11_1 | ~spl11_6 | ~spl11_16 | ~spl11_23)),
% 0.23/0.32 inference(forward_demodulation,[],[f448,f392])).
% 0.23/0.32 thf(f495,plain,(
% 0.23/0.32 $false | (~spl11_1 | ~spl11_6 | ~spl11_16 | ~spl11_23)),
% 0.23/0.32 inference(trivial_inequality_removal,[],[f494])).
% 0.23/0.32 thf(f496,plain,(
% 0.23/0.32 ~spl11_1 | ~spl11_6 | ~spl11_16 | ~spl11_23),
% 0.23/0.32 inference(avatar_contradiction_clause,[],[f495])).
% 0.23/0.32 thf(f504,plain,(
% 0.23/0.32 ($false = $true) | (~spl11_10 | ~spl11_13 | ~spl11_16 | ~spl11_23)),
% 0.23/0.32 inference(forward_demodulation,[],[f466,f448])).
% 0.23/0.32 thf(f505,plain,(
% 0.23/0.32 $false | (~spl11_10 | ~spl11_13 | ~spl11_16 | ~spl11_23)),
% 0.23/0.32 inference(trivial_inequality_removal,[],[f504])).
% 0.23/0.32 thf(f506,plain,(
% 0.23/0.32 ~spl11_10 | ~spl11_13 | ~spl11_16 | ~spl11_23),
% 0.23/0.32 inference(avatar_contradiction_clause,[],[f505])).
% 0.23/0.32 thf(f507,plain,(
% 0.23/0.32 (((f1 @ $false)) = $true) | (~spl11_14 | ~spl11_23)),
% 0.23/0.32 inference(forward_demodulation,[],[f107,f148])).
% 0.23/0.32 thf(f513,plain,(
% 0.23/0.32 (((f1 @ $true)) = $true) | (~spl11_10 | ~spl11_15)),
% 0.23/0.32 inference(forward_demodulation,[],[f89,f112])).
% 0.23/0.32 thf(f528,plain,(
% 0.23/0.32 ($false = $true) | (~spl11_1 | ~spl11_7 | ~spl11_14 | ~spl11_23)),
% 0.23/0.32 inference(forward_demodulation,[],[f507,f473])).
% 0.23/0.32 thf(f529,plain,(
% 0.23/0.32 $false | (~spl11_1 | ~spl11_7 | ~spl11_14 | ~spl11_23)),
% 0.23/0.32 inference(trivial_inequality_removal,[],[f528])).
% 0.23/0.32 thf(f530,plain,(
% 0.23/0.32 ~spl11_1 | ~spl11_7 | ~spl11_14 | ~spl11_23),
% 0.23/0.32 inference(avatar_contradiction_clause,[],[f529])).
% 0.23/0.32 thf(f542,plain,(
% 0.23/0.32 (((f0 @ $false)) = $true) | (~spl11_17 | ~spl11_41)),
% 0.23/0.32 inference(forward_demodulation,[],[f229,f121])).
% 0.23/0.32 thf(f543,plain,(
% 0.23/0.32 ($false = $true) | (~spl11_17 | ~spl11_25 | ~spl11_32 | ~spl11_41)),
% 0.23/0.32 inference(forward_demodulation,[],[f542,f429])).
% 0.23/0.32 thf(f544,plain,(
% 0.23/0.32 $false | (~spl11_17 | ~spl11_25 | ~spl11_32 | ~spl11_41)),
% 0.23/0.32 inference(trivial_inequality_removal,[],[f543])).
% 0.23/0.32 thf(f545,plain,(
% 0.23/0.32 ~spl11_17 | ~spl11_25 | ~spl11_32 | ~spl11_41),
% 0.23/0.32 inference(avatar_contradiction_clause,[],[f544])).
% 0.23/0.32 thf(f547,plain,(
% 0.23/0.32 ($false = $true) | (~spl11_42 | ~spl11_43)),
% 0.23/0.32 inference(forward_demodulation,[],[f233,f238])).
% 0.23/0.32 thf(f548,plain,(
% 0.23/0.32 $false | (~spl11_42 | ~spl11_43)),
% 0.23/0.32 inference(trivial_inequality_removal,[],[f547])).
% 0.23/0.32 thf(f549,plain,(
% 0.23/0.32 ~spl11_42 | ~spl11_43),
% 0.23/0.32 inference(avatar_contradiction_clause,[],[f548])).
% 0.23/0.32 thf(f552,plain,(
% 0.23/0.32 ($false = $true) | (~spl11_38 | ~spl11_39)),
% 0.23/0.32 inference(forward_demodulation,[],[f215,f220])).
% 0.23/0.32 thf(f553,plain,(
% 0.23/0.32 $false | (~spl11_38 | ~spl11_39)),
% 0.23/0.32 inference(trivial_inequality_removal,[],[f552])).
% 0.23/0.32 thf(f554,plain,(
% 0.23/0.32 ~spl11_38 | ~spl11_39),
% 0.23/0.32 inference(avatar_contradiction_clause,[],[f553])).
% 0.23/0.32 thf(f555,plain,(
% 0.23/0.32 (((f0 @ $false)) = $true) | (~spl11_29 | ~spl11_40)),
% 0.23/0.32 inference(forward_demodulation,[],[f224,f175])).
% 0.23/0.32 thf(f556,plain,(
% 0.23/0.32 ($false = $true) | (~spl11_25 | ~spl11_29 | ~spl11_32 | ~spl11_40)),
% 0.23/0.32 inference(forward_demodulation,[],[f555,f429])).
% 0.23/0.32 thf(f557,plain,(
% 0.23/0.32 $false | (~spl11_25 | ~spl11_29 | ~spl11_32 | ~spl11_40)),
% 0.23/0.32 inference(trivial_inequality_removal,[],[f556])).
% 0.23/0.32 thf(f558,plain,(
% 0.23/0.32 ~spl11_25 | ~spl11_29 | ~spl11_32 | ~spl11_40),
% 0.23/0.32 inference(avatar_contradiction_clause,[],[f557])).
% 0.23/0.32 thf(f561,plain,(
% 0.23/0.32 ($false = ((f2 @ $false))) | (~spl11_23 | ~spl11_33)),
% 0.23/0.32 inference(forward_demodulation,[],[f193,f148])).
% 0.23/0.32 thf(f563,plain,(
% 0.23/0.32 ($false = $true) | (~spl11_23 | ~spl11_33 | ~spl11_35)),
% 0.23/0.32 inference(forward_demodulation,[],[f561,f403])).
% 0.23/0.32 thf(f564,plain,(
% 0.23/0.32 $false | (~spl11_23 | ~spl11_33 | ~spl11_35)),
% 0.23/0.32 inference(trivial_inequality_removal,[],[f563])).
% 0.23/0.32 thf(f565,plain,(
% 0.23/0.32 ~spl11_23 | ~spl11_33 | ~spl11_35),
% 0.23/0.32 inference(avatar_contradiction_clause,[],[f564])).
% 0.23/0.32 thf(f575,plain,(
% 0.23/0.32 ($false = sF5) | ($true != $true) | spl11_34),
% 0.23/0.32 inference(constrained_superposition,[],[f196,f6])).
% 0.23/0.32 thf(f576,plain,(
% 0.23/0.32 ($false = sF5) | spl11_34),
% 0.23/0.32 inference(trivial_inequality_removal,[],[f575])).
% 0.23/0.32 thf(f577,plain,(
% 0.23/0.32 spl11_36 | spl11_34),
% 0.23/0.32 inference(avatar_split_clause,[],[f576,f195,f204])).
% 0.23/0.32 thf(f589,plain,(
% 0.23/0.32 (((f2 @ $false)) = $true) | (~spl11_2 | ~spl11_36)),
% 0.23/0.32 inference(forward_demodulation,[],[f53,f206])).
% 0.23/0.32 thf(f592,plain,(
% 0.23/0.32 ($false = ((f1 @ $true))) | (~spl11_4 | ~spl11_7)),
% 0.23/0.32 inference(forward_demodulation,[],[f76,f62])).
% 0.23/0.32 thf(f608,plain,(
% 0.23/0.32 ($false = $true) | (~spl11_2 | ~spl11_23 | ~spl11_33 | ~spl11_36)),
% 0.23/0.32 inference(forward_demodulation,[],[f589,f561])).
% 0.23/0.32 thf(f609,plain,(
% 0.23/0.32 $false | (~spl11_2 | ~spl11_23 | ~spl11_33 | ~spl11_36)),
% 0.23/0.32 inference(trivial_inequality_removal,[],[f608])).
% 0.23/0.32 thf(f610,plain,(
% 0.23/0.32 ~spl11_2 | ~spl11_23 | ~spl11_33 | ~spl11_36),
% 0.23/0.32 inference(avatar_contradiction_clause,[],[f609])).
% 0.23/0.32 thf(f611,plain,(
% 0.23/0.32 ($false != ((f2 @ $false))) | (~spl11_23 | spl11_33)),
% 0.23/0.32 inference(forward_demodulation,[],[f192,f148])).
% 0.23/0.32 thf(f615,plain,(
% 0.23/0.32 ($false = ((f2 @ $false))) | (~spl11_22 | ~spl11_47)),
% 0.23/0.32 inference(constrained_superposition,[],[f143,f328])).
% 0.23/0.32 thf(f619,plain,(
% 0.23/0.32 ($false = $true) | (~spl11_4 | ~spl11_7 | ~spl11_10 | ~spl11_15)),
% 0.23/0.32 inference(forward_demodulation,[],[f592,f513])).
% 0.23/0.32 thf(f620,plain,(
% 0.23/0.32 $false | (~spl11_4 | ~spl11_7 | ~spl11_10 | ~spl11_15)),
% 0.23/0.32 inference(trivial_inequality_removal,[],[f619])).
% 0.23/0.32 thf(f621,plain,(
% 0.23/0.32 ~spl11_4 | ~spl11_7 | ~spl11_10 | ~spl11_15),
% 0.23/0.32 inference(avatar_contradiction_clause,[],[f620])).
% 0.23/0.32 thf(f623,plain,(
% 0.23/0.32 ($false = $true) | (~spl11_9 | ~spl11_12)),
% 0.23/0.32 inference(forward_demodulation,[],[f85,f98])).
% 0.23/0.32 thf(f624,plain,(
% 0.23/0.32 $false | (~spl11_9 | ~spl11_12)),
% 0.23/0.32 inference(trivial_inequality_removal,[],[f623])).
% 0.23/0.32 thf(f625,plain,(
% 0.23/0.32 ~spl11_9 | ~spl11_12),
% 0.23/0.32 inference(avatar_contradiction_clause,[],[f624])).
% 0.23/0.32 thf(f662,plain,(
% 0.23/0.32 $false | (~spl11_22 | ~spl11_23 | spl11_33 | ~spl11_47)),
% 0.23/0.32 inference(forward_subsumption_resolution,[],[f615,f611])).
% 0.23/0.32 thf(f663,plain,(
% 0.23/0.32 ~spl11_22 | ~spl11_23 | spl11_33 | ~spl11_47),
% 0.23/0.32 inference(avatar_contradiction_clause,[],[f662])).
% 0.23/0.32 thf(f666,plain,(
% 0.23/0.32 (((f0 @ $true)) = $false) | (~spl11_19 | ~spl11_44)),
% 0.23/0.32 inference(forward_demodulation,[],[f242,f130])).
% 0.23/0.32 thf(f667,plain,(
% 0.23/0.32 (((f1 @ $true)) = $true) | (~spl11_10 | ~spl11_15)),
% 0.23/0.32 inference(forward_demodulation,[],[f89,f112])).
% 0.23/0.32 thf(f694,plain,(
% 0.23/0.32 (((f0 @ $true)) = $true) | (~spl11_31 | ~spl11_40)),
% 0.23/0.32 inference(forward_demodulation,[],[f224,f184])).
% 0.23/0.32 thf(f707,plain,(
% 0.23/0.32 ($false = $true) | (~spl11_19 | ~spl11_31 | ~spl11_40 | ~spl11_44)),
% 0.23/0.32 inference(forward_demodulation,[],[f694,f666])).
% 0.23/0.32 thf(f708,plain,(
% 0.23/0.32 $false | (~spl11_19 | ~spl11_31 | ~spl11_40 | ~spl11_44)),
% 0.23/0.32 inference(trivial_inequality_removal,[],[f707])).
% 0.23/0.32 thf(f709,plain,(
% 0.23/0.32 ~spl11_19 | ~spl11_31 | ~spl11_40 | ~spl11_44),
% 0.23/0.32 inference(avatar_contradiction_clause,[],[f708])).
% 0.23/0.32 thf(f711,plain,(
% 0.23/0.32 ($false = ((f1 @ $true))) | (~spl11_12 | ~spl11_20)),
% 0.23/0.32 inference(forward_demodulation,[],[f134,f98])).
% 0.23/0.32 thf(f714,plain,(
% 0.23/0.32 ($false = $true) | (~spl11_10 | ~spl11_12 | ~spl11_15 | ~spl11_20)),
% 0.23/0.32 inference(forward_demodulation,[],[f711,f667])).
% 0.23/0.32 thf(f715,plain,(
% 0.23/0.32 $false | (~spl11_10 | ~spl11_12 | ~spl11_15 | ~spl11_20)),
% 0.23/0.32 inference(trivial_inequality_removal,[],[f714])).
% 0.23/0.32 thf(f716,plain,(
% 0.23/0.32 ~spl11_10 | ~spl11_12 | ~spl11_15 | ~spl11_20),
% 0.23/0.32 inference(avatar_contradiction_clause,[],[f715])).
% 0.23/0.32 thf(f729,plain,(
% 0.23/0.32 (((f0 @ $true)) = $true) | (~spl11_8 | ~spl11_26)),
% 0.23/0.32 inference(forward_demodulation,[],[f161,f80])).
% 0.23/0.32 thf(f747,plain,(
% 0.23/0.32 (((f0 @ $true)) != $true) | (~spl11_27 | spl11_30)),
% 0.23/0.32 inference(forward_demodulation,[],[f178,f166])).
% 0.23/0.32 thf(f763,plain,(
% 0.23/0.32 $false | (~spl11_8 | ~spl11_26 | ~spl11_27 | spl11_30)),
% 0.23/0.32 inference(forward_subsumption_resolution,[],[f747,f729])).
% 0.23/0.32 thf(f764,plain,(
% 0.23/0.32 ~spl11_8 | ~spl11_26 | ~spl11_27 | spl11_30),
% 0.23/0.32 inference(avatar_contradiction_clause,[],[f763])).
% 0.23/0.32 thf(f765,plain,(
% 0.23/0.32 ($false = ((f1 @ $false))) | (~spl11_9 | ~spl11_20)),
% 0.23/0.32 inference(forward_demodulation,[],[f134,f85])).
% 0.23/0.32 thf(f787,plain,(
% 0.23/0.32 (((f0 @ $false)) = $true) | (~spl11_5 | ~spl11_26)),
% 0.23/0.32 inference(forward_demodulation,[],[f161,f67])).
% 0.23/0.32 thf(f788,plain,(
% 0.23/0.32 ($false = ((f0 @ $false))) | (~spl11_17 | ~spl11_44)),
% 0.23/0.32 inference(forward_demodulation,[],[f242,f121])).
% 0.23/0.32 thf(f820,plain,(
% 0.23/0.32 ($false = $true) | (~spl11_5 | ~spl11_17 | ~spl11_26 | ~spl11_44)),
% 0.23/0.32 inference(forward_demodulation,[],[f788,f787])).
% 0.23/0.32 thf(f821,plain,(
% 0.23/0.32 $false | (~spl11_5 | ~spl11_17 | ~spl11_26 | ~spl11_44)),
% 0.23/0.32 inference(trivial_inequality_removal,[],[f820])).
% 0.23/0.32 thf(f822,plain,(
% 0.23/0.32 ~spl11_5 | ~spl11_17 | ~spl11_26 | ~spl11_44),
% 0.23/0.32 inference(avatar_contradiction_clause,[],[f821])).
% 0.23/0.32 thf(f824,plain,(
% 0.23/0.32 ($false = ((f0 @ $false))) | (~spl11_5 | ~spl11_28)),
% 0.23/0.32 inference(forward_demodulation,[],[f170,f67])).
% 0.23/0.32 thf(f828,plain,(
% 0.23/0.32 (((f0 @ $false)) = $true) | (~spl11_25 | ~spl11_30)),
% 0.23/0.32 inference(forward_demodulation,[],[f179,f157])).
% 0.23/0.32 thf(f843,plain,(
% 0.23/0.32 (((f0 @ $false)) = $true) | (~spl11_17 | ~spl11_41)),
% 0.23/0.32 inference(forward_demodulation,[],[f229,f121])).
% 0.23/0.32 thf(f865,plain,(
% 0.23/0.32 ($false = $true) | (~spl11_5 | ~spl11_25 | ~spl11_28 | ~spl11_30)),
% 0.23/0.32 inference(forward_demodulation,[],[f828,f824])).
% 0.23/0.32 thf(f866,plain,(
% 0.23/0.32 $false | (~spl11_5 | ~spl11_25 | ~spl11_28 | ~spl11_30)),
% 0.23/0.32 inference(trivial_inequality_removal,[],[f865])).
% 0.23/0.32 thf(f867,plain,(
% 0.23/0.32 ~spl11_5 | ~spl11_25 | ~spl11_28 | ~spl11_30),
% 0.23/0.32 inference(avatar_contradiction_clause,[],[f866])).
% 0.23/0.32 thf(f879,plain,(
% 0.23/0.32 ($false = ((f0 @ $false))) | (~spl11_29 | ~spl11_37)),
% 0.23/0.32 inference(forward_demodulation,[],[f211,f175])).
% 0.23/0.32 thf(f893,plain,(
% 0.23/0.32 ($false = $true) | (~spl11_17 | ~spl11_29 | ~spl11_37 | ~spl11_41)),
% 0.23/0.32 inference(forward_demodulation,[],[f879,f843])).
% 0.23/0.32 thf(f894,plain,(
% 0.23/0.32 $false | (~spl11_17 | ~spl11_29 | ~spl11_37 | ~spl11_41)),
% 0.23/0.32 inference(trivial_inequality_removal,[],[f893])).
% 0.23/0.32 thf(f895,plain,(
% 0.23/0.32 ~spl11_17 | ~spl11_29 | ~spl11_37 | ~spl11_41),
% 0.23/0.32 inference(avatar_contradiction_clause,[],[f894])).
% 0.23/0.32 thf(f896,plain,(
% 0.23/0.32 (((f1 @ $false)) = $true) | (~spl11_1 | ~spl11_6)),
% 0.23/0.32 inference(forward_demodulation,[],[f71,f49])).
% 0.23/0.32 thf(f898,plain,(
% 0.23/0.32 ($false = $true) | (~spl11_22 | ~spl11_24)),
% 0.23/0.32 inference(forward_demodulation,[],[f152,f143])).
% 0.23/0.32 thf(f899,plain,(
% 0.23/0.32 $false | (~spl11_22 | ~spl11_24)),
% 0.23/0.32 inference(trivial_inequality_removal,[],[f898])).
% 0.23/0.32 thf(f900,plain,(
% 0.23/0.32 ~spl11_22 | ~spl11_24),
% 0.23/0.32 inference(avatar_contradiction_clause,[],[f899])).
% 0.23/0.32 thf(f903,plain,(
% 0.23/0.32 ($false = $true) | (~spl11_1 | ~spl11_6 | ~spl11_9 | ~spl11_20)),
% 0.23/0.32 inference(forward_demodulation,[],[f896,f765])).
% 0.23/0.32 thf(f904,plain,(
% 0.23/0.32 $false | (~spl11_1 | ~spl11_6 | ~spl11_9 | ~spl11_20)),
% 0.23/0.32 inference(trivial_inequality_removal,[],[f903])).
% 0.23/0.32 thf(f905,plain,(
% 0.23/0.32 ~spl11_1 | ~spl11_6 | ~spl11_9 | ~spl11_20),
% 0.23/0.32 inference(avatar_contradiction_clause,[],[f904])).
% 0.23/0.32 thf(f914,plain,(
% 0.23/0.32 ($false = sF2) | ($true != $true) | spl11_12),
% 0.23/0.32 inference(constrained_superposition,[],[f97,f6])).
% 0.23/0.32 thf(f915,plain,(
% 0.23/0.32 ($false = sF2) | spl11_12),
% 0.23/0.32 inference(trivial_inequality_removal,[],[f914])).
% 0.23/0.32 thf(f916,plain,(
% 0.23/0.32 $false | (spl11_9 | spl11_12)),
% 0.23/0.32 inference(forward_subsumption_resolution,[],[f915,f84])).
% 0.23/0.32 thf(f917,plain,(
% 0.23/0.32 spl11_9 | spl11_12),
% 0.23/0.32 inference(avatar_contradiction_clause,[],[f916])).
% 0.23/0.32 thf(f934,plain,(
% 0.23/0.32 ($false = ((f2 @ $false))) | (~spl11_3 | ~spl11_36)),
% 0.23/0.32 inference(forward_demodulation,[],[f58,f206])).
% 0.23/0.32 thf(f935,plain,(
% 0.23/0.32 (((f1 @ $true)) != $true) | (spl11_14 | ~spl11_21)),
% 0.23/0.32 inference(forward_demodulation,[],[f106,f139])).
% 0.23/0.32 thf(f936,plain,(
% 0.23/0.32 ($false = ((f1 @ $true))) | (~spl11_16 | ~spl11_21)),
% 0.23/0.32 inference(forward_demodulation,[],[f116,f139])).
% 0.23/0.32 thf(f939,plain,(
% 0.23/0.32 ($false != ((f2 @ $false))) | (spl11_22 | ~spl11_47)),
% 0.23/0.32 inference(forward_demodulation,[],[f142,f328])).
% 0.23/0.32 thf(f985,plain,(
% 0.23/0.32 $false | (~spl11_3 | spl11_22 | ~spl11_36 | ~spl11_47)),
% 0.23/0.32 inference(forward_subsumption_resolution,[],[f939,f934])).
% 0.23/0.32 thf(f986,plain,(
% 0.23/0.32 ~spl11_3 | spl11_22 | ~spl11_36 | ~spl11_47),
% 0.23/0.32 inference(avatar_contradiction_clause,[],[f985])).
% 0.23/0.32 thf(f991,plain,(
% 0.23/0.32 (((f1 @ $true)) = $true) | (~spl11_4 | ~spl11_6)),
% 0.23/0.32 inference(forward_demodulation,[],[f71,f62])).
% 0.23/0.32 thf(f992,plain,(
% 0.23/0.32 $false | (~spl11_4 | ~spl11_6 | spl11_14 | ~spl11_21)),
% 0.23/0.32 inference(forward_subsumption_resolution,[],[f991,f935])).
% 0.23/0.32 thf(f993,plain,(
% 0.23/0.32 ~spl11_4 | ~spl11_6 | spl11_14 | ~spl11_21),
% 0.23/0.32 inference(avatar_contradiction_clause,[],[f992])).
% 0.23/0.32 thf(f996,plain,(
% 0.23/0.32 ($false = $true) | (~spl11_4 | ~spl11_6 | ~spl11_16 | ~spl11_21)),
% 0.23/0.32 inference(forward_demodulation,[],[f991,f936])).
% 0.23/0.32 thf(f997,plain,(
% 0.23/0.32 $false | (~spl11_4 | ~spl11_6 | ~spl11_16 | ~spl11_21)),
% 0.23/0.32 inference(trivial_inequality_removal,[],[f996])).
% 0.23/0.32 thf(f998,plain,(
% 0.23/0.32 ~spl11_4 | ~spl11_6 | ~spl11_16 | ~spl11_21),
% 0.23/0.32 inference(avatar_contradiction_clause,[],[f997])).
% 0.23/0.32 thf(f1004,plain,(
% 0.23/0.32 ($false = ((f1 @ $false))) | (~spl11_11 | ~spl11_13)),
% 0.23/0.32 inference(forward_demodulation,[],[f94,f103])).
% 0.23/0.32 thf(f1029,plain,(
% 0.23/0.32 (((f1 @ $false)) = $true) | (~spl11_9 | ~spl11_18)),
% 0.23/0.32 inference(forward_demodulation,[],[f125,f85])).
% 0.23/0.32 thf(f1043,plain,(
% 0.23/0.32 ($false = $true) | (~spl11_9 | ~spl11_11 | ~spl11_13 | ~spl11_18)),
% 0.23/0.32 inference(forward_demodulation,[],[f1029,f1004])).
% 0.23/0.32 thf(f1044,plain,(
% 0.23/0.32 $false | (~spl11_9 | ~spl11_11 | ~spl11_13 | ~spl11_18)),
% 0.23/0.32 inference(trivial_inequality_removal,[],[f1043])).
% 0.23/0.32 thf(f1045,plain,(
% 0.23/0.32 ~spl11_9 | ~spl11_11 | ~spl11_13 | ~spl11_18),
% 0.23/0.32 inference(avatar_contradiction_clause,[],[f1044])).
% 0.23/0.32 thf(f1049,plain,(
% 0.23/0.32 (((f1 @ $true)) = $true) | (~spl11_12 | ~spl11_18)),
% 0.23/0.32 inference(forward_demodulation,[],[f125,f98])).
% 0.23/0.32 thf(f1050,plain,(
% 0.23/0.32 ($false = $true) | (~spl11_12 | ~spl11_16 | ~spl11_18 | ~spl11_21)),
% 0.23/0.32 inference(forward_demodulation,[],[f1049,f936])).
% 0.23/0.32 thf(f1051,plain,(
% 0.23/0.32 $false | (~spl11_12 | ~spl11_16 | ~spl11_18 | ~spl11_21)),
% 0.23/0.32 inference(trivial_inequality_removal,[],[f1050])).
% 0.23/0.32 thf(f1052,plain,(
% 0.23/0.32 ~spl11_12 | ~spl11_16 | ~spl11_18 | ~spl11_21),
% 0.23/0.32 inference(avatar_contradiction_clause,[],[f1051])).
% 0.23/0.32 cnf(s1, plain, spl11_1 | spl11_2, inference(sat_conversion,[],[f54])).
% 0.23/0.32 cnf(s2, plain, spl11_3 | spl11_4, inference(sat_conversion,[],[f63])).
% 0.23/0.32 cnf(s3, plain, spl11_5 | spl11_6, inference(sat_conversion,[],[f72])).
% 0.23/0.32 cnf(s4, plain, spl11_7 | spl11_8, inference(sat_conversion,[],[f81])).
% 0.23/0.32 cnf(s5, plain, spl11_9 | spl11_10, inference(sat_conversion,[],[f90])).
% 0.23/0.32 cnf(s6, plain, spl11_11 | spl11_12, inference(sat_conversion,[],[f99])).
% 0.23/0.32 cnf(s7, plain, spl11_13 | spl11_14, inference(sat_conversion,[],[f108])).
% 0.23/0.32 cnf(s8, plain, spl11_15 | spl11_16, inference(sat_conversion,[],[f117])).
% 0.23/0.32 cnf(s9, plain, spl11_17 | spl11_18, inference(sat_conversion,[],[f126])).
% 0.23/0.32 cnf(s10, plain, spl11_19 | spl11_20, inference(sat_conversion,[],[f135])).
% 0.23/0.32 cnf(s11, plain, spl11_21 | spl11_22, inference(sat_conversion,[],[f144])).
% 0.23/0.32 cnf(s12, plain, spl11_23 | spl11_24, inference(sat_conversion,[],[f153])).
% 0.23/0.32 cnf(s13, plain, spl11_25 | spl11_26, inference(sat_conversion,[],[f162])).
% 0.23/0.32 cnf(s14, plain, spl11_27 | spl11_28, inference(sat_conversion,[],[f171])).
% 0.23/0.32 cnf(s15, plain, spl11_29 | spl11_30, inference(sat_conversion,[],[f180])).
% 0.23/0.32 cnf(s16, plain, spl11_31 | spl11_32, inference(sat_conversion,[],[f189])).
% 0.23/0.32 cnf(s17, plain, spl11_33 | spl11_34, inference(sat_conversion,[],[f198])).
% 0.23/0.32 cnf(s18, plain, spl11_35 | spl11_36, inference(sat_conversion,[],[f207])).
% 0.23/0.32 cnf(s19, plain, spl11_37 | spl11_38, inference(sat_conversion,[],[f216])).
% 0.23/0.32 cnf(s20, plain, spl11_39 | spl11_40, inference(sat_conversion,[],[f225])).
% 0.23/0.32 cnf(s21, plain, spl11_41 | spl11_42, inference(sat_conversion,[],[f234])).
% 0.23/0.32 cnf(s22, plain, spl11_43 | spl11_44, inference(sat_conversion,[],[f243])).
% 0.23/0.32 cnf(s23, plain, spl11_39 | spl11_42, inference(sat_conversion,[],[f244])).
% 0.23/0.32 cnf(s24, plain, spl11_38 | spl11_43, inference(sat_conversion,[],[f245])).
% 0.23/0.32 cnf(s25, plain, ~spl11_13 | ~spl11_15, inference(sat_conversion,[],[f261])).
% 0.23/0.32 cnf(s28, plain, spl11_21 | spl11_23, inference(sat_conversion,[],[f277])).
% 0.23/0.32 cnf(s29, plain, ~spl11_25 | ~spl11_27, inference(sat_conversion,[],[f285])).
% 0.23/0.32 cnf(s30, plain, ~spl11_29 | ~spl11_31, inference(sat_conversion,[],[f293])).
% 0.23/0.32 cnf(s32, plain, ~spl11_2 | ~spl11_3, inference(sat_conversion,[],[f310])).
% 0.23/0.32 cnf(s34, plain, spl11_22 | ~spl11_46 | spl11_47, inference(sat_conversion,[],[f334])).
% 0.23/0.32 cnf(s36, plain, ~spl11_21 | ~spl11_33 | spl11_46, inference(sat_conversion,[],[f339])).
% 0.23/0.32 cnf(s38, plain, ~spl11_21 | spl11_33 | ~spl11_46, inference(sat_conversion,[],[f344])).
% 0.23/0.32 cnf(s39, plain, spl11_2 | ~spl11_34 | ~spl11_45, inference(sat_conversion,[],[f347])).
% 0.23/0.32 cnf(s40, plain, ~spl11_1 | ~spl11_4, inference(sat_conversion,[],[f350])).
% 0.23/0.32 cnf(s41, plain, spl11_3 | ~spl11_34 | ~spl11_46, inference(sat_conversion,[],[f353])).
% 0.23/0.32 cnf(s43, plain, ~spl11_21 | ~spl11_35 | spl11_45, inference(sat_conversion,[],[f359])).
% 0.23/0.32 cnf(s44, plain, ~spl11_11 | ~spl11_14 | ~spl11_15 | ~spl11_21, inference(sat_conversion,[],[f371])).
% 0.23/0.32 cnf(s45, plain, ~spl11_3 | ~spl11_34 | spl11_46, inference(sat_conversion,[],[f374])).
% 0.23/0.32 cnf(s48, plain, ~spl11_1 | ~spl11_7 | ~spl11_9 | ~spl11_18, inference(sat_conversion,[],[f386])).
% 0.23/0.32 cnf(s49, plain, ~spl11_5 | ~spl11_8, inference(sat_conversion,[],[f390])).
% 0.23/0.32 cnf(s50, plain, ~spl11_22 | spl11_46 | spl11_47, inference(sat_conversion,[],[f399])).
% 0.23/0.32 cnf(s51, plain, ~spl11_27 | ~spl11_30 | ~spl11_31 | ~spl11_37, inference(sat_conversion,[],[f406])).
% 0.23/0.32 cnf(s52, plain, ~spl11_27 | ~spl11_30 | ~spl11_32, inference(sat_conversion,[],[f410])).
% 0.23/0.32 cnf(s54, plain, spl11_25 | spl11_27, inference(sat_conversion,[],[f416])).
% 0.23/0.32 cnf(s56, plain, spl11_29 | spl11_31, inference(sat_conversion,[],[f424])).
% 0.23/0.32 cnf(s57, plain, ~spl11_8 | ~spl11_19 | ~spl11_28 | ~spl11_41, inference(sat_conversion,[],[f439])).
% 0.23/0.32 cnf(s61, plain, spl11_13 | spl11_15, inference(sat_conversion,[],[f454])).
% 0.23/0.32 cnf(s66, plain, spl11_5 | spl11_8, inference(sat_conversion,[],[f479])).
% 0.23/0.32 cnf(s68, plain, ~spl11_1 | ~spl11_6 | ~spl11_16 | ~spl11_23, inference(sat_conversion,[],[f496])).
% 0.23/0.32 cnf(s70, plain, ~spl11_10 | ~spl11_13 | ~spl11_16 | ~spl11_23, inference(sat_conversion,[],[f506])).
% 0.23/0.32 cnf(s72, plain, ~spl11_1 | ~spl11_7 | ~spl11_14 | ~spl11_23, inference(sat_conversion,[],[f530])).
% 0.23/0.32 cnf(s73, plain, ~spl11_17 | ~spl11_25 | ~spl11_32 | ~spl11_41, inference(sat_conversion,[],[f545])).
% 0.23/0.32 cnf(s74, plain, ~spl11_42 | ~spl11_43, inference(sat_conversion,[],[f549])).
% 0.23/0.32 cnf(s75, plain, ~spl11_38 | ~spl11_39, inference(sat_conversion,[],[f554])).
% 0.23/0.32 cnf(s76, plain, ~spl11_25 | ~spl11_29 | ~spl11_32 | ~spl11_40, inference(sat_conversion,[],[f558])).
% 0.23/0.32 cnf(s77, plain, ~spl11_23 | ~spl11_33 | ~spl11_35, inference(sat_conversion,[],[f565])).
% 0.23/0.32 cnf(s78, plain, spl11_34 | spl11_36, inference(sat_conversion,[],[f577])).
% 0.23/0.32 cnf(s80, plain, ~spl11_2 | ~spl11_23 | ~spl11_33 | ~spl11_36, inference(sat_conversion,[],[f610])).
% 0.23/0.32 cnf(s83, plain, ~spl11_4 | ~spl11_7 | ~spl11_10 | ~spl11_15, inference(sat_conversion,[],[f621])).
% 0.23/0.32 cnf(s84, plain, ~spl11_9 | ~spl11_12, inference(sat_conversion,[],[f625])).
% 0.23/0.32 cnf(s87, plain, ~spl11_22 | ~spl11_23 | spl11_33 | ~spl11_47, inference(sat_conversion,[],[f663])).
% 0.23/0.32 cnf(s90, plain, ~spl11_19 | ~spl11_31 | ~spl11_40 | ~spl11_44, inference(sat_conversion,[],[f709])).
% 0.23/0.32 cnf(s92, plain, ~spl11_10 | ~spl11_12 | ~spl11_15 | ~spl11_20, inference(sat_conversion,[],[f716])).
% 0.23/0.32 cnf(s95, plain, ~spl11_8 | ~spl11_26 | ~spl11_27 | spl11_30, inference(sat_conversion,[],[f764])).
% 0.23/0.32 cnf(s98, plain, ~spl11_5 | ~spl11_17 | ~spl11_26 | ~spl11_44, inference(sat_conversion,[],[f822])).
% 0.23/0.32 cnf(s103, plain, ~spl11_5 | ~spl11_25 | ~spl11_28 | ~spl11_30, inference(sat_conversion,[],[f867])).
% 0.23/0.32 cnf(s105, plain, ~spl11_17 | ~spl11_29 | ~spl11_37 | ~spl11_41, inference(sat_conversion,[],[f895])).
% 0.23/0.32 cnf(s106, plain, ~spl11_22 | ~spl11_24, inference(sat_conversion,[],[f900])).
% 0.23/0.32 cnf(s107, plain, ~spl11_1 | ~spl11_6 | ~spl11_9 | ~spl11_20, inference(sat_conversion,[],[f905])).
% 0.23/0.32 cnf(s109, plain, spl11_9 | spl11_12, inference(sat_conversion,[],[f917])).
% 0.23/0.32 cnf(s115, plain, ~spl11_3 | spl11_22 | ~spl11_36 | ~spl11_47, inference(sat_conversion,[],[f986])).
% 0.23/0.32 cnf(s116, plain, ~spl11_4 | ~spl11_6 | spl11_14 | ~spl11_21, inference(sat_conversion,[],[f993])).
% 0.23/0.32 cnf(s117, plain, ~spl11_4 | ~spl11_6 | ~spl11_16 | ~spl11_21, inference(sat_conversion,[],[f998])).
% 0.23/0.32 cnf(s120, plain, ~spl11_9 | ~spl11_11 | ~spl11_13 | ~spl11_18, inference(sat_conversion,[],[f1045])).
% 0.23/0.32 cnf(s121, plain, ~spl11_12 | ~spl11_16 | ~spl11_18 | ~spl11_21, inference(sat_conversion,[],[f1052])).
% 0.23/0.32 cnf(s122, plain, spl11_25 | ~spl11_19 | ~spl11_8, inference(rat,[],[s22,s90,s74,s20,s23,s75,s19,s51,s16,s52,s95,s13,s54])).
% 0.23/0.32 cnf(s123, plain, ~spl11_19 | ~spl11_8, inference(rat,[],[s76,s16,s56,s90,s20,s75,s22,s24,s74,s21,s57,s14,s29,s122])).
% 0.23/0.32 cnf(s124, plain, spl11_9 | spl11_5 | ~spl11_4, inference(rat,[],[s28,s117,s70,s8,s61,s92,s5,s109,s3,s10,s123,s66])).
% 0.23/0.32 cnf(s127, plain, spl11_33 | spl11_21 | spl11_3, inference(rat,[],[s50,s41,s87,s17,s28,s11])).
% 0.23/0.32 cnf(s128, plain, spl11_21 | ~spl11_2, inference(rat,[],[s18,s80,s77,s127,s28,s32])).
% 0.23/0.32 cnf(s129, plain, spl11_5 | ~spl11_2, inference(rat,[],[s6,s44,s8,s84,s116,s117,s124,s3,s2,s32,s128])).
% 0.23/0.32 cnf(s130, plain, spl11_25 | ~spl11_17 | ~spl11_5, inference(rat,[],[s51,s15,s56,s105,s19,s75,s21,s23,s74,s22,s98,s13,s54])).
% 0.23/0.32 cnf(s131, plain, ~spl11_17 | ~spl11_5, inference(rat,[],[s24,s75,s74,s20,s21,s76,s73,s16,s30,s15,s103,s14,s29,s130])).
% 0.23/0.32 cnf(s132, plain, spl11_15 | ~spl11_2, inference(rat,[],[s120,s6,s109,s121,s8,s61,s128,s9,s131,s129])).
% 0.23/0.32 cnf(s133, plain, ~spl11_2, inference(rat,[],[s6,s84,s44,s5,s7,s83,s25,s132,s4,s49,s129,s128,s2,s32])).
% 0.23/0.32 cnf(s134, plain, spl11_1, inference(rat,[],[s1,s133])).
% 0.23/0.32 cnf(s135, plain, ~spl11_4, inference(rat,[],[s40,s134])).
% 0.23/0.32 cnf(s136, plain, spl11_3, inference(rat,[],[s2,s135])).
% 0.23/0.32 cnf(s137, plain, spl11_33 | ~spl11_21, inference(rat,[],[s45,s17,s38,s136])).
% 0.23/0.32 cnf(s138, plain, spl11_23, inference(rat,[],[s43,s39,s18,s78,s115,s34,s36,s137,s106,s12,s28,s133,s136])).
% 0.23/0.32 cnf(s142, plain, spl11_5, inference(rat,[],[s92,s5,s109,s107,s8,s10,s68,s123,s3,s66,s134,s138])).
% 0.23/0.32 cnf(s143, plain, ~spl11_8, inference(rat,[],[s49,s142])).
% 0.23/0.32 cnf(s144, plain, ~spl11_17, inference(rat,[],[s131,s142])).
% 0.23/0.32 cnf(s145, plain, spl11_7, inference(rat,[],[s4,s143])).
% 0.23/0.32 cnf(s147, plain, spl11_18, inference(rat,[],[s9,s144])).
% 0.23/0.32 cnf(s149, plain, ~spl11_14, inference(rat,[],[s72,s138,s134,s145])).
% 0.23/0.32 cnf(s151, plain, ~spl11_9, inference(rat,[],[s48,s145,s134,s147])).
% 0.23/0.32 cnf(s152, plain, spl11_13, inference(rat,[],[s7,s149])).
% 0.23/0.32 cnf(s154, plain, spl11_10, inference(rat,[],[s5,s151])).
% 0.23/0.32 cnf(s155, plain, ~spl11_15, inference(rat,[],[s25,s152])).
% 0.23/0.32 cnf(s156, plain, ~spl11_16, inference(rat,[],[s70,s152,s138,s154])).
% 0.23/0.32 cnf(s157, plain, $false, inference(rat,[],[s8,s156,s155])).
% 0.23/0.32 thf(f1053,plain,(
% 0.23/0.32 $false),
% 0.23/0.32 inference(avatar_sat_refutation,[],[s157])).
% 0.23/0.32 % SZS output end Proof for theBenchmark
% 0.23/0.32 % (886230)------------------------------
% 0.23/0.32 % (886230)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.23/0.32 % (886230)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.23/0.32 % (886230)CaDiCaL version: 2.1.3
% 0.23/0.32 % (886230)Termination reason: Refutation
% 0.23/0.32 % (886230)Time elapsed: 0.028 s
% 0.23/0.32 % (886230)Peak memory usage: 13 MB
% 0.23/0.32 % (886230)Instructions burned: 46 (million)
% 0.23/0.32 % (886210)Success in time 0.066 s
% 0.23/0.32 % Vampire exiting
%------------------------------------------------------------------------------