%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYO500^1.002 : 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 : n019.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 08:48:07 AM UTC 2026
% Result : Theorem 0.28s 0.27s
% Output : Refutation 0.28s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYO500^1.002 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.16 % Computer : n019.cluster.edu
% 0.09/0.16 % Model : x86_64 x86_64
% 0.09/0.16 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.16 % Memory : 8046.5625MB
% 0.09/0.16 % OS : Linux 6.8.0-71-generic
% 0.09/0.16 % CPULimit : 300
% 0.09/0.16 % WCLimit : 300
% 0.09/0.16 % DateTime : Tue Sep 29 17:10:48 UTC 2026
% 0.09/0.16 % CPUTime :
% 0.09/0.16 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.20 Running higher-order theorem proving
% 0.09/0.21 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
% 0.28/0.27 % (1093633)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.28/0.27 % (1093648)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=787082142:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.28/0.27 % (1093648)Refutation not found, incomplete strategy
% 0.28/0.27 % (1093648)------------------------------
% 0.28/0.27 % (1093648)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.28/0.27 % (1093648)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.28/0.27 % (1093648)CaDiCaL version: 2.1.3
% 0.28/0.27 % (1093648)Termination reason: Refutation not found, incomplete strategy
% 0.28/0.27 % (1093648)Time elapsed: 0.001 s
% 0.28/0.27 % (1093648)Peak memory usage: 12 MB
% 0.28/0.27 % (1093648)Instructions burned: 1 (million)
% 0.28/0.27 % (1093648)------------------------------
% 0.28/0.27 % (1093648)------------------------------
% 0.28/0.27 % (1093650)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.28/0.27 % (1093650)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
% 0.28/0.27 % (1093643)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=355809362:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.28/0.27 % (1093644)lrs+10_16_si=on:nwc=1.5:random_seed=89269338:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.28/0.27 % (1093645)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=3091906588:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.28/0.27 % (1093649)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=1438982298:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.28/0.27 % (1093647)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=3798547670: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)
% 0.28/0.27 % (1093650)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=2902704890:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.28/0.27 % (1093645)Refutation not found, incomplete strategy
% 0.28/0.27 % (1093645)------------------------------
% 0.28/0.27 % (1093645)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.28/0.27 % (1093645)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.28/0.27 % (1093645)CaDiCaL version: 2.1.3
% 0.28/0.27 % (1093645)Termination reason: Refutation not found, incomplete strategy
% 0.28/0.27 % (1093645)Time elapsed: 0.001 s
% 0.28/0.27 % (1093645)Peak memory usage: 12 MB
% 0.28/0.27 % (1093643)Refutation not found, incomplete strategy
% 0.28/0.27 % (1093643)------------------------------
% 0.28/0.27 % (1093643)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.28/0.27 % (1093643)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.28/0.27 % (1093643)CaDiCaL version: 2.1.3
% 0.28/0.27 % (1093643)Termination reason: Refutation not found, incomplete strategy
% 0.28/0.27 % (1093643)Time elapsed: 0.001 s
% 0.28/0.27 % (1093643)Peak memory usage: 12 MB
% 0.28/0.27 % (1093644)Refutation not found, incomplete strategy
% 0.28/0.27 % (1093644)------------------------------
% 0.28/0.27 % (1093644)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.28/0.27 % (1093644)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.28/0.27 % (1093644)CaDiCaL version: 2.1.3
% 0.28/0.27 % (1093644)Termination reason: Refutation not found, incomplete strategy
% 0.28/0.27 % (1093644)Time elapsed: 0.001 s
% 0.28/0.27 % (1093644)Peak memory usage: 12 MB
% 0.28/0.27 % (1093644)Instructions burned: 1 (million)
% 0.28/0.27 % (1093645)------------------------------
% 0.28/0.27 % (1093645)------------------------------
% 0.28/0.27 % (1093643)------------------------------
% 0.28/0.27 % (1093643)------------------------------
% 0.28/0.27 % (1093644)------------------------------
% 0.28/0.27 % (1093644)------------------------------
% 0.28/0.27 % (1093657)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=3999853468:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.28/0.27 % (1093657)Instruction limit reached!
% 0.28/0.27 % (1093657)------------------------------
% 0.28/0.27 % (1093657)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.28/0.27 % (1093657)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.28/0.27 % (1093657)CaDiCaL version: 2.1.3
% 0.28/0.27 % (1093657)Termination reason: Instruction limit
% 0.28/0.27 % (1093657)Termination phase: Saturation
% 0.28/0.27 % (1093657)Time elapsed: 0.002 s
% 0.28/0.27 % (1093657)Peak memory usage: 12 MB
% 0.28/0.27 % (1093657)Instructions burned: 6 (million)
% 0.28/0.27 % (1093650) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1093633-1093650"...
% 0.28/0.27 % (1093647) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1093633-1093647"...
% 0.28/0.27 % (1093675)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
% 0.28/0.27 % (1093675)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.28/0.27 % (1093675)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=992397907:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.28/0.27 % (1093650)...printing done.
% 0.28/0.27 % (1093670)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.28/0.27 % (1093650)Refutation found. Thanks to Tanya!
% 0.28/0.27 % SZS status Theorem for theBenchmark
% 0.28/0.27 % SZS output start Proof for theBenchmark
% 0.28/0.27 thf(type_def_5, type, sTfun: ($tType * $tType) > $tType).
% 0.28/0.27 thf(func_def_0, type, x: $o).
% 0.28/0.27 thf(func_def_1, type, f0: ($o > $o)).
% 0.28/0.27 thf(func_def_2, type, f1: ($o > $o)).
% 0.28/0.27 thf(func_def_6, type, sF0: $o).
% 0.28/0.27 thf(func_def_7, type, sF1: $o).
% 0.28/0.27 thf(func_def_8, type, sF2: $o).
% 0.28/0.27 thf(func_def_9, type, sF3: $o).
% 0.28/0.27 thf(func_def_10, type, sF4: $o).
% 0.28/0.27 thf(func_def_11, type, sF5: $o).
% 0.28/0.27 thf(func_def_12, type, sF6: $o).
% 0.28/0.27 thf(f1,conjecture,(
% 0.28/0.27 (((f0 @ (f0 @ (f0 @ (f1 @ x))))) = ((f0 @ (f1 @ (f1 @ (f1 @ x))))))),
% 0.28/0.27 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',kaminski2)).
% 0.28/0.27 thf(f2,negated_conjecture,(
% 0.28/0.27 ~ (((f0 @ (f0 @ (f0 @ (f1 @ x))))) = ((f0 @ (f1 @ (f1 @ (f1 @ x))))))),
% 0.28/0.27 inference(negated_conjecture,[status(cth)],[f1])).
% 0.28/0.27 thf(f3,plain,(
% 0.28/0.27 (((f0 @ (f0 @ (f0 @ (f1 @ x))))) != ((f0 @ (f1 @ (f1 @ (f1 @ x))))))),
% 0.28/0.27 inference(flattening,[],[f2])).
% 0.28/0.27 thf(f4,plain,(
% 0.28/0.27 (((f0 @ (f0 @ (f0 @ (f1 @ x))))) != ((f0 @ (f1 @ (f1 @ (f1 @ x))))))),
% 0.28/0.27 inference(cnf_transformation,[],[f3])).
% 0.28/0.27 thf(f6,definition,(
% 0.28/0.27 ( ! [X0 : $o] : (($true = X0) | ($false = X0)) )),
% 0.28/0.27 introduced(theory,[fool_exhaustiveness_axiom])).
% 0.28/0.27 thf(f7,definition,(
% 0.28/0.27 (sF0 = ((f1 @ x)))),
% 0.28/0.27 introduced(definition,[new_symbols(definition,[sF0])],[function_definition])).
% 0.28/0.27 thf(f8,plain,(
% 0.28/0.27 (((f1 @ x)) = sF0)),
% 0.28/0.27 inference(reorient_equations,[],[f7])).
% 0.28/0.27 thf(f9,definition,(
% 0.28/0.27 (sF1 = ((f0 @ sF0)))),
% 0.28/0.27 introduced(definition,[new_symbols(definition,[sF1])],[function_definition])).
% 0.28/0.27 thf(f10,definition,(
% 0.28/0.27 (sF2 = ((f0 @ sF1)))),
% 0.28/0.27 introduced(definition,[new_symbols(definition,[sF2])],[function_definition])).
% 0.28/0.27 thf(f11,plain,(
% 0.28/0.27 (((f0 @ sF1)) = sF2)),
% 0.28/0.27 inference(reorient_equations,[],[f10])).
% 0.28/0.27 thf(f12,definition,(
% 0.28/0.27 (sF3 = ((f0 @ sF2)))),
% 0.28/0.27 introduced(definition,[new_symbols(definition,[sF3])],[function_definition])).
% 0.28/0.27 thf(f13,plain,(
% 0.28/0.27 (((f0 @ sF2)) = sF3)),
% 0.28/0.27 inference(reorient_equations,[],[f12])).
% 0.28/0.27 thf(f14,definition,(
% 0.28/0.27 (sF4 = ((f1 @ sF0)))),
% 0.28/0.27 introduced(definition,[new_symbols(definition,[sF4])],[function_definition])).
% 0.28/0.27 thf(f15,plain,(
% 0.28/0.27 (((f1 @ sF0)) = sF4)),
% 0.28/0.27 inference(reorient_equations,[],[f14])).
% 0.28/0.27 thf(f16,definition,(
% 0.28/0.27 (sF5 = ((f1 @ sF4)))),
% 0.28/0.27 introduced(definition,[new_symbols(definition,[sF5])],[function_definition])).
% 0.28/0.27 thf(f17,definition,(
% 0.28/0.27 (sF6 = ((f0 @ sF5)))),
% 0.28/0.27 introduced(definition,[new_symbols(definition,[sF6])],[function_definition])).
% 0.28/0.27 thf(f18,plain,(
% 0.28/0.27 (((f0 @ sF5)) = sF6)),
% 0.28/0.27 inference(reorient_equations,[],[f17])).
% 0.28/0.27 thf(f19,plain,(
% 0.28/0.27 (sF3 != sF6)),
% 0.28/0.27 inference(definition_folding,[],[f4,f18,f16,f15,f8,f13,f11,f9,f8])).
% 0.28/0.27 thf(f20,plain,(
% 0.28/0.27 ($false = sF6) | ($true = ((f0 @ sF5)))),
% 0.28/0.27 inference(iff_proxy_clausification,[],[f18])).
% 0.28/0.27 thf(f21,plain,(
% 0.28/0.27 ($true = sF6) | (((f0 @ sF5)) = $false)),
% 0.28/0.27 inference(iff_proxy_clausification,[],[f18])).
% 0.28/0.27 thf(f22,plain,(
% 0.28/0.27 ($true = sF5) | ($false = ((f1 @ sF4)))),
% 0.28/0.27 inference(iff_proxy_clausification,[],[f16])).
% 0.28/0.27 thf(f23,plain,(
% 0.28/0.27 ($true = ((f1 @ sF4))) | (sF5 = $false)),
% 0.28/0.27 inference(iff_proxy_clausification,[],[f16])).
% 0.28/0.27 thf(f24,plain,(
% 0.28/0.27 ($false = sF2) | ($true = ((f0 @ sF1)))),
% 0.28/0.27 inference(iff_proxy_clausification,[],[f11])).
% 0.28/0.27 thf(f25,plain,(
% 0.28/0.27 ($true = sF2) | (((f0 @ sF1)) = $false)),
% 0.28/0.27 inference(iff_proxy_clausification,[],[f11])).
% 0.28/0.27 thf(f26,plain,(
% 0.28/0.27 (sF0 = $false) | (((f1 @ x)) = $true)),
% 0.28/0.27 inference(iff_proxy_clausification,[],[f8])).
% 0.28/0.27 thf(f27,plain,(
% 0.28/0.27 ($true = sF0) | (((f1 @ x)) = $false)),
% 0.28/0.27 inference(iff_proxy_clausification,[],[f8])).
% 0.28/0.27 thf(f28,plain,(
% 0.28/0.27 ($true = sF3) | ($true = sF6)),
% 0.28/0.27 inference(xor_proxy_clausification,[],[f19])).
% 0.28/0.27 thf(f29,plain,(
% 0.28/0.27 (sF3 = $false) | ($false = sF6)),
% 0.28/0.27 inference(xor_proxy_clausification,[],[f19])).
% 0.28/0.27 thf(f30,plain,(
% 0.28/0.27 (sF3 = $false) | (((f0 @ sF2)) = $true)),
% 0.28/0.27 inference(iff_proxy_clausification,[],[f13])).
% 0.28/0.27 thf(f31,plain,(
% 0.28/0.27 ($true = sF3) | (((f0 @ sF2)) = $false)),
% 0.28/0.27 inference(iff_proxy_clausification,[],[f13])).
% 0.28/0.27 thf(f32,plain,(
% 0.28/0.27 (sF1 = $true) | (((f0 @ sF0)) = $false)),
% 0.28/0.27 inference(iff_proxy_clausification,[],[f9])).
% 0.28/0.27 thf(f33,plain,(
% 0.28/0.27 (sF1 = $false) | ($true = ((f0 @ sF0)))),
% 0.28/0.27 inference(iff_proxy_clausification,[],[f9])).
% 0.28/0.27 thf(f34,plain,(
% 0.28/0.27 (((f1 @ sF0)) = $true) | (sF4 = $false)),
% 0.28/0.27 inference(iff_proxy_clausification,[],[f15])).
% 0.28/0.27 thf(f35,plain,(
% 0.28/0.27 (((f1 @ sF0)) = $false) | ($true = sF4)),
% 0.28/0.27 inference(iff_proxy_clausification,[],[f15])).
% 0.28/0.27 thf(f37,definition,(
% 0.28/0.27 spl7_1 <=> ($true = sF6)),
% 0.28/0.27 introduced(definition,[new_symbols(definition,[spl7_1])],[avatar_definition])).
% 0.28/0.27 thf(f39,plain,(
% 0.28/0.27 ($true = sF6) | ~spl7_1),
% 0.28/0.27 inference(avatar_component_clause,[],[f37])).
% 0.28/0.27 thf(f41,definition,(
% 0.28/0.27 spl7_2 <=> (((f0 @ sF5)) = $false)),
% 0.28/0.27 introduced(definition,[new_symbols(definition,[spl7_2])],[avatar_definition])).
% 0.28/0.27 thf(f42,plain,(
% 0.28/0.27 (((f0 @ sF5)) != $false) | spl7_2),
% 0.28/0.27 inference(avatar_component_clause,[],[f41])).
% 0.28/0.27 thf(f43,plain,(
% 0.28/0.27 (((f0 @ sF5)) = $false) | ~spl7_2),
% 0.28/0.27 inference(avatar_component_clause,[],[f41])).
% 0.28/0.27 thf(f44,plain,(
% 0.28/0.27 spl7_1 | spl7_2),
% 0.28/0.27 inference(avatar_split_clause,[],[f21,f41,f37])).
% 0.28/0.27 thf(f46,definition,(
% 0.28/0.27 spl7_3 <=> ($true = ((f0 @ sF5)))),
% 0.28/0.27 introduced(definition,[new_symbols(definition,[spl7_3])],[avatar_definition])).
% 0.28/0.27 thf(f48,plain,(
% 0.28/0.27 ($true = ((f0 @ sF5))) | ~spl7_3),
% 0.28/0.27 inference(avatar_component_clause,[],[f46])).
% 0.28/0.27 thf(f50,definition,(
% 0.28/0.27 spl7_4 <=> ($false = sF6)),
% 0.28/0.27 introduced(definition,[new_symbols(definition,[spl7_4])],[avatar_definition])).
% 0.28/0.27 thf(f52,plain,(
% 0.28/0.27 ($false = sF6) | ~spl7_4),
% 0.28/0.27 inference(avatar_component_clause,[],[f50])).
% 0.28/0.27 thf(f53,plain,(
% 0.28/0.27 spl7_3 | spl7_4),
% 0.28/0.27 inference(avatar_split_clause,[],[f20,f50,f46])).
% 0.28/0.27 thf(f55,definition,(
% 0.28/0.27 spl7_5 <=> (sF5 = $false)),
% 0.28/0.27 introduced(definition,[new_symbols(definition,[spl7_5])],[avatar_definition])).
% 0.28/0.27 thf(f56,plain,(
% 0.28/0.27 (sF5 != $false) | spl7_5),
% 0.28/0.27 inference(avatar_component_clause,[],[f55])).
% 0.28/0.27 thf(f57,plain,(
% 0.28/0.27 (sF5 = $false) | ~spl7_5),
% 0.28/0.27 inference(avatar_component_clause,[],[f55])).
% 0.28/0.27 thf(f59,definition,(
% 0.28/0.27 spl7_6 <=> ($true = ((f1 @ sF4)))),
% 0.28/0.27 introduced(definition,[new_symbols(definition,[spl7_6])],[avatar_definition])).
% 0.28/0.27 thf(f60,plain,(
% 0.28/0.27 ($true != ((f1 @ sF4))) | spl7_6),
% 0.28/0.27 inference(avatar_component_clause,[],[f59])).
% 0.28/0.27 thf(f61,plain,(
% 0.28/0.27 ($true = ((f1 @ sF4))) | ~spl7_6),
% 0.28/0.27 inference(avatar_component_clause,[],[f59])).
% 0.28/0.27 thf(f62,plain,(
% 0.28/0.27 spl7_5 | spl7_6),
% 0.28/0.27 inference(avatar_split_clause,[],[f23,f59,f55])).
% 0.28/0.27 thf(f64,definition,(
% 0.28/0.27 spl7_7 <=> ($true = sF5)),
% 0.28/0.27 introduced(definition,[new_symbols(definition,[spl7_7])],[avatar_definition])).
% 0.28/0.27 thf(f65,plain,(
% 0.28/0.27 ($true != sF5) | spl7_7),
% 0.28/0.27 inference(avatar_component_clause,[],[f64])).
% 0.28/0.27 thf(f66,plain,(
% 0.28/0.27 ($true = sF5) | ~spl7_7),
% 0.28/0.27 inference(avatar_component_clause,[],[f64])).
% 0.28/0.27 thf(f68,definition,(
% 0.28/0.27 spl7_8 <=> ($false = ((f1 @ sF4)))),
% 0.28/0.27 introduced(definition,[new_symbols(definition,[spl7_8])],[avatar_definition])).
% 0.28/0.27 thf(f69,plain,(
% 0.28/0.27 ($false != ((f1 @ sF4))) | spl7_8),
% 0.28/0.27 inference(avatar_component_clause,[],[f68])).
% 0.28/0.27 thf(f70,plain,(
% 0.28/0.27 ($false = ((f1 @ sF4))) | ~spl7_8),
% 0.28/0.27 inference(avatar_component_clause,[],[f68])).
% 0.28/0.27 thf(f71,plain,(
% 0.28/0.27 spl7_7 | spl7_8),
% 0.28/0.27 inference(avatar_split_clause,[],[f22,f68,f64])).
% 0.28/0.27 thf(f73,definition,(
% 0.28/0.27 spl7_9 <=> ($true = sF2)),
% 0.28/0.27 introduced(definition,[new_symbols(definition,[spl7_9])],[avatar_definition])).
% 0.28/0.27 thf(f74,plain,(
% 0.28/0.27 ($true != sF2) | spl7_9),
% 0.28/0.27 inference(avatar_component_clause,[],[f73])).
% 0.28/0.27 thf(f75,plain,(
% 0.28/0.27 ($true = sF2) | ~spl7_9),
% 0.28/0.27 inference(avatar_component_clause,[],[f73])).
% 0.28/0.27 thf(f77,definition,(
% 0.28/0.27 spl7_10 <=> (((f0 @ sF1)) = $false)),
% 0.28/0.27 introduced(definition,[new_symbols(definition,[spl7_10])],[avatar_definition])).
% 0.28/0.27 thf(f78,plain,(
% 0.28/0.27 (((f0 @ sF1)) != $false) | spl7_10),
% 0.28/0.27 inference(avatar_component_clause,[],[f77])).
% 0.28/0.27 thf(f79,plain,(
% 0.28/0.27 (((f0 @ sF1)) = $false) | ~spl7_10),
% 0.28/0.27 inference(avatar_component_clause,[],[f77])).
% 0.28/0.27 thf(f80,plain,(
% 0.28/0.27 spl7_9 | spl7_10),
% 0.28/0.27 inference(avatar_split_clause,[],[f25,f77,f73])).
% 0.28/0.27 thf(f82,definition,(
% 0.28/0.27 spl7_11 <=> ($false = sF2)),
% 0.28/0.27 introduced(definition,[new_symbols(definition,[spl7_11])],[avatar_definition])).
% 0.28/0.27 thf(f84,plain,(
% 0.28/0.27 ($false = sF2) | ~spl7_11),
% 0.28/0.27 inference(avatar_component_clause,[],[f82])).
% 0.28/0.27 thf(f86,definition,(
% 0.28/0.27 spl7_12 <=> ($true = ((f0 @ sF1)))),
% 0.28/0.27 introduced(definition,[new_symbols(definition,[spl7_12])],[avatar_definition])).
% 0.28/0.27 thf(f88,plain,(
% 0.28/0.27 ($true = ((f0 @ sF1))) | ~spl7_12),
% 0.28/0.27 inference(avatar_component_clause,[],[f86])).
% 0.28/0.27 thf(f89,plain,(
% 0.28/0.27 spl7_11 | spl7_12),
% 0.28/0.27 inference(avatar_split_clause,[],[f24,f86,f82])).
% 0.28/0.27 thf(f91,definition,(
% 0.28/0.27 spl7_13 <=> ($true = sF0)),
% 0.28/0.27 introduced(definition,[new_symbols(definition,[spl7_13])],[avatar_definition])).
% 0.28/0.27 thf(f92,plain,(
% 0.28/0.27 ($true != sF0) | spl7_13),
% 0.28/0.27 inference(avatar_component_clause,[],[f91])).
% 0.28/0.27 thf(f93,plain,(
% 0.28/0.27 ($true = sF0) | ~spl7_13),
% 0.28/0.27 inference(avatar_component_clause,[],[f91])).
% 0.28/0.27 thf(f95,definition,(
% 0.28/0.27 spl7_14 <=> (((f1 @ x)) = $false)),
% 0.28/0.27 introduced(definition,[new_symbols(definition,[spl7_14])],[avatar_definition])).
% 0.28/0.27 thf(f97,plain,(
% 0.28/0.27 (((f1 @ x)) = $false) | ~spl7_14),
% 0.28/0.27 inference(avatar_component_clause,[],[f95])).
% 0.28/0.27 thf(f98,plain,(
% 0.28/0.27 spl7_13 | spl7_14),
% 0.28/0.27 inference(avatar_split_clause,[],[f27,f95,f91])).
% 0.28/0.27 thf(f100,definition,(
% 0.28/0.27 spl7_15 <=> (sF0 = $false)),
% 0.28/0.27 introduced(definition,[new_symbols(definition,[spl7_15])],[avatar_definition])).
% 0.28/0.27 thf(f102,plain,(
% 0.28/0.27 (sF0 = $false) | ~spl7_15),
% 0.28/0.27 inference(avatar_component_clause,[],[f100])).
% 0.28/0.27 thf(f104,definition,(
% 0.28/0.27 spl7_16 <=> (((f1 @ x)) = $true)),
% 0.28/0.27 introduced(definition,[new_symbols(definition,[spl7_16])],[avatar_definition])).
% 0.28/0.27 thf(f106,plain,(
% 0.28/0.27 (((f1 @ x)) = $true) | ~spl7_16),
% 0.28/0.27 inference(avatar_component_clause,[],[f104])).
% 0.28/0.27 thf(f107,plain,(
% 0.28/0.27 spl7_15 | spl7_16),
% 0.28/0.27 inference(avatar_split_clause,[],[f26,f104,f100])).
% 0.28/0.27 thf(f109,definition,(
% 0.28/0.27 spl7_17 <=> (sF3 = $false)),
% 0.28/0.27 introduced(definition,[new_symbols(definition,[spl7_17])],[avatar_definition])).
% 0.28/0.27 thf(f111,plain,(
% 0.28/0.27 (sF3 = $false) | ~spl7_17),
% 0.28/0.27 inference(avatar_component_clause,[],[f109])).
% 0.28/0.27 thf(f112,plain,(
% 0.28/0.27 spl7_17 | spl7_4),
% 0.28/0.27 inference(avatar_split_clause,[],[f29,f50,f109])).
% 0.28/0.27 thf(f114,definition,(
% 0.28/0.27 spl7_18 <=> ($true = sF3)),
% 0.28/0.27 introduced(definition,[new_symbols(definition,[spl7_18])],[avatar_definition])).
% 0.28/0.27 thf(f116,plain,(
% 0.28/0.27 ($true = sF3) | ~spl7_18),
% 0.28/0.27 inference(avatar_component_clause,[],[f114])).
% 0.28/0.27 thf(f117,plain,(
% 0.28/0.27 spl7_18 | spl7_1),
% 0.28/0.27 inference(avatar_split_clause,[],[f28,f37,f114])).
% 0.28/0.27 thf(f119,definition,(
% 0.28/0.27 spl7_19 <=> (((f0 @ sF2)) = $false)),
% 0.28/0.27 introduced(definition,[new_symbols(definition,[spl7_19])],[avatar_definition])).
% 0.28/0.27 thf(f121,plain,(
% 0.28/0.27 (((f0 @ sF2)) = $false) | ~spl7_19),
% 0.28/0.27 inference(avatar_component_clause,[],[f119])).
% 0.28/0.27 thf(f122,plain,(
% 0.28/0.27 spl7_19 | spl7_18),
% 0.28/0.27 inference(avatar_split_clause,[],[f31,f114,f119])).
% 0.28/0.27 thf(f124,definition,(
% 0.28/0.27 spl7_20 <=> (((f0 @ sF2)) = $true)),
% 0.28/0.27 introduced(definition,[new_symbols(definition,[spl7_20])],[avatar_definition])).
% 0.28/0.27 thf(f126,plain,(
% 0.28/0.27 (((f0 @ sF2)) = $true) | ~spl7_20),
% 0.28/0.27 inference(avatar_component_clause,[],[f124])).
% 0.28/0.27 thf(f127,plain,(
% 0.28/0.27 spl7_20 | spl7_17),
% 0.28/0.27 inference(avatar_split_clause,[],[f30,f109,f124])).
% 0.28/0.27 thf(f129,definition,(
% 0.28/0.27 spl7_21 <=> (sF1 = $false)),
% 0.28/0.27 introduced(definition,[new_symbols(definition,[spl7_21])],[avatar_definition])).
% 0.28/0.27 thf(f130,plain,(
% 0.28/0.27 (sF1 != $false) | spl7_21),
% 0.28/0.27 inference(avatar_component_clause,[],[f129])).
% 0.28/0.27 thf(f131,plain,(
% 0.28/0.27 (sF1 = $false) | ~spl7_21),
% 0.28/0.27 inference(avatar_component_clause,[],[f129])).
% 0.28/0.27 thf(f133,definition,(
% 0.28/0.27 spl7_22 <=> ($true = ((f0 @ sF0)))),
% 0.28/0.27 introduced(definition,[new_symbols(definition,[spl7_22])],[avatar_definition])).
% 0.28/0.27 thf(f134,plain,(
% 0.28/0.27 ($true != ((f0 @ sF0))) | spl7_22),
% 0.28/0.27 inference(avatar_component_clause,[],[f133])).
% 0.28/0.27 thf(f135,plain,(
% 0.28/0.27 ($true = ((f0 @ sF0))) | ~spl7_22),
% 0.28/0.27 inference(avatar_component_clause,[],[f133])).
% 0.28/0.27 thf(f136,plain,(
% 0.28/0.27 spl7_21 | spl7_22),
% 0.28/0.27 inference(avatar_split_clause,[],[f33,f133,f129])).
% 0.28/0.27 thf(f138,definition,(
% 0.28/0.27 spl7_23 <=> (sF1 = $true)),
% 0.28/0.27 introduced(definition,[new_symbols(definition,[spl7_23])],[avatar_definition])).
% 0.28/0.27 thf(f139,plain,(
% 0.28/0.27 (sF1 != $true) | spl7_23),
% 0.28/0.27 inference(avatar_component_clause,[],[f138])).
% 0.28/0.27 thf(f140,plain,(
% 0.28/0.27 (sF1 = $true) | ~spl7_23),
% 0.28/0.27 inference(avatar_component_clause,[],[f138])).
% 0.28/0.27 thf(f142,definition,(
% 0.28/0.27 spl7_24 <=> (((f0 @ sF0)) = $false)),
% 0.28/0.27 introduced(definition,[new_symbols(definition,[spl7_24])],[avatar_definition])).
% 0.28/0.27 thf(f144,plain,(
% 0.28/0.27 (((f0 @ sF0)) = $false) | ~spl7_24),
% 0.28/0.27 inference(avatar_component_clause,[],[f142])).
% 0.28/0.27 thf(f145,plain,(
% 0.28/0.27 spl7_23 | spl7_24),
% 0.28/0.27 inference(avatar_split_clause,[],[f32,f142,f138])).
% 0.28/0.27 thf(f147,definition,(
% 0.28/0.27 spl7_25 <=> ($true = sF4)),
% 0.28/0.27 introduced(definition,[new_symbols(definition,[spl7_25])],[avatar_definition])).
% 0.28/0.27 thf(f148,plain,(
% 0.28/0.27 ($true != sF4) | spl7_25),
% 0.28/0.27 inference(avatar_component_clause,[],[f147])).
% 0.28/0.27 thf(f149,plain,(
% 0.28/0.27 ($true = sF4) | ~spl7_25),
% 0.28/0.27 inference(avatar_component_clause,[],[f147])).
% 0.28/0.27 thf(f151,definition,(
% 0.28/0.27 spl7_26 <=> (((f1 @ sF0)) = $false)),
% 0.28/0.27 introduced(definition,[new_symbols(definition,[spl7_26])],[avatar_definition])).
% 0.28/0.27 thf(f153,plain,(
% 0.28/0.27 (((f1 @ sF0)) = $false) | ~spl7_26),
% 0.28/0.27 inference(avatar_component_clause,[],[f151])).
% 0.28/0.27 thf(f154,plain,(
% 0.28/0.27 spl7_25 | spl7_26),
% 0.28/0.27 inference(avatar_split_clause,[],[f35,f151,f147])).
% 0.28/0.27 thf(f156,definition,(
% 0.28/0.27 spl7_27 <=> (sF4 = $false)),
% 0.28/0.27 introduced(definition,[new_symbols(definition,[spl7_27])],[avatar_definition])).
% 0.28/0.27 thf(f158,plain,(
% 0.28/0.27 (sF4 = $false) | ~spl7_27),
% 0.28/0.27 inference(avatar_component_clause,[],[f156])).
% 0.28/0.27 thf(f160,definition,(
% 0.28/0.27 spl7_28 <=> (((f1 @ sF0)) = $true)),
% 0.28/0.27 introduced(definition,[new_symbols(definition,[spl7_28])],[avatar_definition])).
% 0.28/0.27 thf(f161,plain,(
% 0.28/0.27 (((f1 @ sF0)) != $true) | spl7_28),
% 0.28/0.27 inference(avatar_component_clause,[],[f160])).
% 0.28/0.27 thf(f162,plain,(
% 0.28/0.27 (((f1 @ sF0)) = $true) | ~spl7_28),
% 0.28/0.27 inference(avatar_component_clause,[],[f160])).
% 0.28/0.27 thf(f163,plain,(
% 0.28/0.27 spl7_27 | spl7_28),
% 0.28/0.27 inference(avatar_split_clause,[],[f34,f160,f156])).
% 0.28/0.27 thf(f164,plain,(
% 0.28/0.27 ($true = $false) | (~spl7_17 | ~spl7_18)),
% 0.28/0.27 inference(forward_demodulation,[],[f116,f111])).
% 0.28/0.27 thf(f165,plain,(
% 0.28/0.27 $false | (~spl7_17 | ~spl7_18)),
% 0.28/0.27 inference(trivial_inequality_removal,[],[f164])).
% 0.28/0.27 thf(f166,plain,(
% 0.28/0.27 ~spl7_17 | ~spl7_18),
% 0.28/0.27 inference(avatar_contradiction_clause,[],[f165])).
% 0.28/0.27 thf(f168,plain,(
% 0.28/0.27 ($true = $false) | (~spl7_5 | ~spl7_7)),
% 0.28/0.27 inference(forward_demodulation,[],[f66,f57])).
% 0.28/0.27 thf(f169,plain,(
% 0.28/0.27 $false | (~spl7_5 | ~spl7_7)),
% 0.28/0.27 inference(trivial_inequality_removal,[],[f168])).
% 0.28/0.27 thf(f170,plain,(
% 0.28/0.27 ~spl7_5 | ~spl7_7),
% 0.28/0.27 inference(avatar_contradiction_clause,[],[f169])).
% 0.28/0.27 thf(f187,plain,(
% 0.28/0.27 ($true != $true) | ($false = sF2) | spl7_9),
% 0.28/0.27 inference(constrained_superposition,[],[f74,f6])).
% 0.28/0.27 thf(f188,plain,(
% 0.28/0.27 ($false = sF2) | spl7_9),
% 0.28/0.27 inference(trivial_inequality_removal,[],[f187])).
% 0.28/0.27 thf(f189,plain,(
% 0.28/0.27 spl7_11 | spl7_9),
% 0.28/0.27 inference(avatar_split_clause,[],[f188,f73,f82])).
% 0.28/0.27 thf(f196,plain,(
% 0.28/0.27 ($true != $true) | (sF0 = $false) | spl7_13),
% 0.28/0.27 inference(constrained_superposition,[],[f92,f6])).
% 0.28/0.27 thf(f197,plain,(
% 0.28/0.27 (sF0 = $false) | spl7_13),
% 0.28/0.27 inference(trivial_inequality_removal,[],[f196])).
% 0.28/0.27 thf(f198,plain,(
% 0.28/0.27 spl7_15 | spl7_13),
% 0.28/0.27 inference(avatar_split_clause,[],[f197,f91,f100])).
% 0.28/0.27 thf(f204,plain,(
% 0.28/0.27 ($true = $false) | (~spl7_21 | ~spl7_23)),
% 0.28/0.27 inference(forward_demodulation,[],[f140,f131])).
% 0.28/0.27 thf(f205,plain,(
% 0.28/0.27 $false | (~spl7_21 | ~spl7_23)),
% 0.28/0.27 inference(trivial_inequality_removal,[],[f204])).
% 0.28/0.27 thf(f206,plain,(
% 0.28/0.27 ~spl7_21 | ~spl7_23),
% 0.28/0.27 inference(avatar_contradiction_clause,[],[f205])).
% 0.28/0.27 thf(f210,plain,(
% 0.28/0.27 ($true = $false) | (~spl7_25 | ~spl7_27)),
% 0.28/0.27 inference(forward_demodulation,[],[f158,f149])).
% 0.28/0.27 thf(f211,plain,(
% 0.28/0.27 $false | (~spl7_25 | ~spl7_27)),
% 0.28/0.27 inference(trivial_inequality_removal,[],[f210])).
% 0.28/0.27 thf(f212,plain,(
% 0.28/0.27 ~spl7_25 | ~spl7_27),
% 0.28/0.27 inference(avatar_contradiction_clause,[],[f211])).
% 0.28/0.27 thf(f214,plain,(
% 0.28/0.27 ($true != $true) | (sF4 = $false) | spl7_25),
% 0.28/0.27 inference(constrained_superposition,[],[f148,f6])).
% 0.28/0.27 thf(f215,plain,(
% 0.28/0.27 (sF4 = $false) | spl7_25),
% 0.28/0.27 inference(trivial_inequality_removal,[],[f214])).
% 0.28/0.27 thf(f216,plain,(
% 0.28/0.27 spl7_27 | spl7_25),
% 0.28/0.27 inference(avatar_split_clause,[],[f215,f147,f156])).
% 0.28/0.27 thf(f220,plain,(
% 0.28/0.27 (((f0 @ $false)) = $false) | (~spl7_2 | ~spl7_5)),
% 0.28/0.27 inference(forward_demodulation,[],[f43,f57])).
% 0.28/0.27 thf(f221,plain,(
% 0.28/0.27 (((f0 @ $false)) = $true) | (~spl7_3 | ~spl7_5)),
% 0.28/0.27 inference(forward_demodulation,[],[f48,f57])).
% 0.28/0.27 thf(f222,plain,(
% 0.28/0.27 (((f1 @ $false)) = $false) | (~spl7_8 | ~spl7_27)),
% 0.28/0.27 inference(forward_demodulation,[],[f70,f158])).
% 0.28/0.27 thf(f228,definition,(
% 0.28/0.27 spl7_29 <=> (x = $false)),
% 0.28/0.27 introduced(definition,[new_symbols(definition,[spl7_29])],[avatar_definition])).
% 0.28/0.27 thf(f229,plain,(
% 0.28/0.27 (x != $false) | spl7_29),
% 0.28/0.27 inference(avatar_component_clause,[],[f228])).
% 0.28/0.27 thf(f230,plain,(
% 0.28/0.27 (x = $false) | ~spl7_29),
% 0.28/0.27 inference(avatar_component_clause,[],[f228])).
% 0.28/0.27 thf(f232,definition,(
% 0.28/0.27 spl7_30 <=> (((f1 @ $true)) = $false)),
% 0.28/0.27 introduced(definition,[new_symbols(definition,[spl7_30])],[avatar_definition])).
% 0.28/0.27 thf(f234,plain,(
% 0.28/0.27 (((f1 @ $true)) = $false) | ~spl7_30),
% 0.28/0.27 inference(avatar_component_clause,[],[f232])).
% 0.28/0.27 thf(f243,definition,(
% 0.28/0.27 spl7_31 <=> ($true = ((f1 @ $true)))),
% 0.28/0.27 introduced(definition,[new_symbols(definition,[spl7_31])],[avatar_definition])).
% 0.28/0.27 thf(f245,plain,(
% 0.28/0.27 ($true = ((f1 @ $true))) | ~spl7_31),
% 0.28/0.27 inference(avatar_component_clause,[],[f243])).
% 0.28/0.27 thf(f254,plain,(
% 0.28/0.27 (((f1 @ $false)) = $false) | (~spl7_14 | ~spl7_29)),
% 0.28/0.27 inference(forward_demodulation,[],[f97,f230])).
% 0.28/0.27 thf(f255,plain,(
% 0.28/0.27 (((f0 @ $false)) = $true) | (~spl7_11 | ~spl7_20)),
% 0.28/0.27 inference(forward_demodulation,[],[f126,f84])).
% 0.28/0.27 thf(f260,plain,(
% 0.28/0.27 ($true = $false) | (~spl7_2 | ~spl7_3 | ~spl7_5)),
% 0.28/0.27 inference(forward_demodulation,[],[f221,f220])).
% 0.28/0.27 thf(f261,plain,(
% 0.28/0.27 $false | (~spl7_2 | ~spl7_3 | ~spl7_5)),
% 0.28/0.27 inference(trivial_inequality_removal,[],[f260])).
% 0.28/0.27 thf(f262,plain,(
% 0.28/0.27 ~spl7_2 | ~spl7_3 | ~spl7_5),
% 0.28/0.27 inference(avatar_contradiction_clause,[],[f261])).
% 0.28/0.27 thf(f270,plain,(
% 0.28/0.27 ($true = $false) | (~spl7_2 | ~spl7_5 | ~spl7_11 | ~spl7_20)),
% 0.28/0.27 inference(forward_demodulation,[],[f255,f220])).
% 0.28/0.27 thf(f271,plain,(
% 0.28/0.27 $false | (~spl7_2 | ~spl7_5 | ~spl7_11 | ~spl7_20)),
% 0.28/0.27 inference(trivial_inequality_removal,[],[f270])).
% 0.28/0.27 thf(f272,plain,(
% 0.28/0.27 ~spl7_2 | ~spl7_5 | ~spl7_11 | ~spl7_20),
% 0.28/0.27 inference(avatar_contradiction_clause,[],[f271])).
% 0.28/0.27 thf(f273,plain,(
% 0.28/0.27 ($true = ((f1 @ $false))) | (~spl7_6 | ~spl7_27)),
% 0.28/0.27 inference(forward_demodulation,[],[f61,f158])).
% 0.28/0.27 thf(f274,plain,(
% 0.28/0.27 ($true = $false) | (~spl7_6 | ~spl7_8 | ~spl7_27)),
% 0.28/0.27 inference(forward_demodulation,[],[f273,f222])).
% 0.28/0.27 thf(f275,plain,(
% 0.28/0.27 $false | (~spl7_6 | ~spl7_8 | ~spl7_27)),
% 0.28/0.27 inference(trivial_inequality_removal,[],[f274])).
% 0.28/0.27 thf(f276,plain,(
% 0.28/0.27 ~spl7_6 | ~spl7_8 | ~spl7_27),
% 0.28/0.27 inference(avatar_contradiction_clause,[],[f275])).
% 0.28/0.27 thf(f277,plain,(
% 0.28/0.27 ($true = $false) | (~spl7_1 | ~spl7_4)),
% 0.28/0.27 inference(forward_demodulation,[],[f39,f52])).
% 0.28/0.27 thf(f278,plain,(
% 0.28/0.27 $false | (~spl7_1 | ~spl7_4)),
% 0.28/0.27 inference(trivial_inequality_removal,[],[f277])).
% 0.28/0.27 thf(f279,plain,(
% 0.28/0.27 ~spl7_1 | ~spl7_4),
% 0.28/0.27 inference(avatar_contradiction_clause,[],[f278])).
% 0.28/0.27 thf(f282,plain,(
% 0.28/0.27 (((f0 @ $false)) = $false) | (~spl7_11 | ~spl7_19)),
% 0.28/0.27 inference(forward_demodulation,[],[f121,f84])).
% 0.28/0.27 thf(f290,plain,(
% 0.28/0.27 (((f0 @ $false)) != $false) | (spl7_2 | ~spl7_5)),
% 0.28/0.27 inference(forward_demodulation,[],[f42,f57])).
% 0.28/0.27 thf(f303,plain,(
% 0.28/0.27 $false | (spl7_2 | ~spl7_5 | ~spl7_11 | ~spl7_19)),
% 0.28/0.27 inference(forward_subsumption_resolution,[],[f290,f282])).
% 0.28/0.27 thf(f304,plain,(
% 0.28/0.27 spl7_2 | ~spl7_5 | ~spl7_11 | ~spl7_19),
% 0.28/0.27 inference(avatar_contradiction_clause,[],[f303])).
% 0.28/0.27 thf(f316,plain,(
% 0.28/0.27 ($true = ((f1 @ $false))) | (~spl7_15 | ~spl7_28)),
% 0.28/0.27 inference(forward_demodulation,[],[f162,f102])).
% 0.28/0.27 thf(f317,plain,(
% 0.28/0.27 ($true = $false) | (~spl7_14 | ~spl7_15 | ~spl7_28 | ~spl7_29)),
% 0.28/0.27 inference(forward_demodulation,[],[f316,f254])).
% 0.28/0.27 thf(f318,plain,(
% 0.28/0.27 $false | (~spl7_14 | ~spl7_15 | ~spl7_28 | ~spl7_29)),
% 0.28/0.27 inference(trivial_inequality_removal,[],[f317])).
% 0.28/0.27 thf(f319,plain,(
% 0.28/0.27 ~spl7_14 | ~spl7_15 | ~spl7_28 | ~spl7_29),
% 0.28/0.27 inference(avatar_contradiction_clause,[],[f318])).
% 0.28/0.27 thf(f324,plain,(
% 0.28/0.27 (((f0 @ $false)) = $true) | (~spl7_12 | ~spl7_21)),
% 0.28/0.27 inference(forward_demodulation,[],[f88,f131])).
% 0.28/0.27 thf(f346,plain,(
% 0.28/0.27 (((f0 @ $true)) = $false) | (~spl7_9 | ~spl7_19)),
% 0.28/0.27 inference(forward_demodulation,[],[f121,f75])).
% 0.28/0.27 thf(f347,plain,(
% 0.28/0.27 (((f0 @ $false)) != $true) | (~spl7_15 | spl7_22)),
% 0.28/0.27 inference(forward_demodulation,[],[f134,f102])).
% 0.28/0.27 thf(f348,plain,(
% 0.28/0.27 (((f0 @ $false)) = $false) | (~spl7_15 | ~spl7_24)),
% 0.28/0.27 inference(forward_demodulation,[],[f144,f102])).
% 0.28/0.27 thf(f349,plain,(
% 0.28/0.27 (((f1 @ $false)) = $false) | (~spl7_15 | ~spl7_26)),
% 0.28/0.27 inference(forward_demodulation,[],[f153,f102])).
% 0.28/0.27 thf(f362,plain,(
% 0.28/0.27 $false | (~spl7_12 | ~spl7_15 | ~spl7_21 | spl7_22)),
% 0.28/0.27 inference(forward_subsumption_resolution,[],[f347,f324])).
% 0.28/0.27 thf(f363,plain,(
% 0.28/0.27 ~spl7_12 | ~spl7_15 | ~spl7_21 | spl7_22),
% 0.28/0.27 inference(avatar_contradiction_clause,[],[f362])).
% 0.28/0.27 thf(f364,plain,(
% 0.28/0.27 (((f0 @ $false)) = $true) | (~spl7_15 | ~spl7_22)),
% 0.28/0.27 inference(forward_demodulation,[],[f135,f102])).
% 0.28/0.27 thf(f365,plain,(
% 0.28/0.27 ($true = $false) | (~spl7_12 | ~spl7_15 | ~spl7_21 | ~spl7_24)),
% 0.28/0.27 inference(forward_demodulation,[],[f348,f324])).
% 0.28/0.27 thf(f366,plain,(
% 0.28/0.27 $false | (~spl7_12 | ~spl7_15 | ~spl7_21 | ~spl7_24)),
% 0.28/0.27 inference(trivial_inequality_removal,[],[f365])).
% 0.28/0.27 thf(f367,plain,(
% 0.28/0.27 ~spl7_12 | ~spl7_15 | ~spl7_21 | ~spl7_24),
% 0.28/0.27 inference(avatar_contradiction_clause,[],[f366])).
% 0.28/0.27 thf(f370,plain,(
% 0.28/0.27 (((f0 @ $true)) != $false) | (spl7_10 | ~spl7_23)),
% 0.28/0.27 inference(forward_demodulation,[],[f78,f140])).
% 0.28/0.27 thf(f371,plain,(
% 0.28/0.27 $false | (~spl7_9 | spl7_10 | ~spl7_19 | ~spl7_23)),
% 0.28/0.27 inference(forward_subsumption_resolution,[],[f370,f346])).
% 0.28/0.27 thf(f372,plain,(
% 0.28/0.27 ~spl7_9 | spl7_10 | ~spl7_19 | ~spl7_23),
% 0.28/0.27 inference(avatar_contradiction_clause,[],[f371])).
% 0.28/0.27 thf(f374,plain,(
% 0.28/0.27 ($true = ((f0 @ $true))) | (~spl7_12 | ~spl7_23)),
% 0.28/0.27 inference(forward_demodulation,[],[f88,f140])).
% 0.28/0.27 thf(f375,plain,(
% 0.28/0.27 ($true = $false) | (~spl7_9 | ~spl7_12 | ~spl7_19 | ~spl7_23)),
% 0.28/0.27 inference(forward_demodulation,[],[f374,f346])).
% 0.28/0.27 thf(f376,plain,(
% 0.28/0.27 $false | (~spl7_9 | ~spl7_12 | ~spl7_19 | ~spl7_23)),
% 0.28/0.27 inference(trivial_inequality_removal,[],[f375])).
% 0.28/0.27 thf(f377,plain,(
% 0.28/0.27 ~spl7_9 | ~spl7_12 | ~spl7_19 | ~spl7_23),
% 0.28/0.27 inference(avatar_contradiction_clause,[],[f376])).
% 0.28/0.27 thf(f379,plain,(
% 0.28/0.27 ($true != $true) | (sF1 = $false) | spl7_23),
% 0.28/0.27 inference(constrained_superposition,[],[f139,f6])).
% 0.28/0.27 thf(f380,plain,(
% 0.28/0.27 (sF1 = $false) | spl7_23),
% 0.28/0.27 inference(trivial_inequality_removal,[],[f379])).
% 0.28/0.27 thf(f381,plain,(
% 0.28/0.27 $false | (spl7_21 | spl7_23)),
% 0.28/0.27 inference(forward_subsumption_resolution,[],[f380,f130])).
% 0.28/0.27 thf(f382,plain,(
% 0.28/0.27 spl7_21 | spl7_23),
% 0.28/0.27 inference(avatar_contradiction_clause,[],[f381])).
% 0.28/0.27 thf(f383,plain,(
% 0.28/0.27 (((f0 @ $false)) = $false) | (~spl7_2 | ~spl7_5)),
% 0.28/0.27 inference(forward_demodulation,[],[f43,f57])).
% 0.28/0.27 thf(f396,plain,(
% 0.28/0.27 (((f0 @ $true)) = $false) | (~spl7_10 | ~spl7_23)),
% 0.28/0.27 inference(forward_demodulation,[],[f79,f140])).
% 0.28/0.27 thf(f403,plain,(
% 0.28/0.27 ($true = $false) | (~spl7_2 | ~spl7_5 | ~spl7_15 | ~spl7_22)),
% 0.28/0.27 inference(forward_demodulation,[],[f383,f364])).
% 0.28/0.27 thf(f404,plain,(
% 0.28/0.27 $false | (~spl7_2 | ~spl7_5 | ~spl7_15 | ~spl7_22)),
% 0.28/0.27 inference(trivial_inequality_removal,[],[f403])).
% 0.28/0.27 thf(f405,plain,(
% 0.28/0.27 ~spl7_2 | ~spl7_5 | ~spl7_15 | ~spl7_22),
% 0.28/0.27 inference(avatar_contradiction_clause,[],[f404])).
% 0.28/0.27 thf(f406,plain,(
% 0.28/0.27 ($true = ((f1 @ $false))) | (~spl7_15 | ~spl7_28)),
% 0.28/0.27 inference(forward_demodulation,[],[f162,f102])).
% 0.28/0.27 thf(f408,plain,(
% 0.28/0.27 ($true != $true) | (sF5 = $false) | spl7_7),
% 0.28/0.27 inference(constrained_superposition,[],[f65,f6])).
% 0.28/0.27 thf(f409,plain,(
% 0.28/0.27 (sF5 = $false) | spl7_7),
% 0.28/0.27 inference(trivial_inequality_removal,[],[f408])).
% 0.28/0.27 thf(f410,plain,(
% 0.28/0.27 $false | (spl7_5 | spl7_7)),
% 0.28/0.27 inference(forward_subsumption_resolution,[],[f409,f56])).
% 0.28/0.27 thf(f411,plain,(
% 0.28/0.27 spl7_5 | spl7_7),
% 0.28/0.27 inference(avatar_contradiction_clause,[],[f410])).
% 0.28/0.27 thf(f420,plain,(
% 0.28/0.27 (((f0 @ $true)) = $false) | (~spl7_2 | ~spl7_7)),
% 0.28/0.27 inference(forward_demodulation,[],[f43,f66])).
% 0.28/0.27 thf(f421,plain,(
% 0.28/0.27 ($true = ((f1 @ $true))) | (~spl7_6 | ~spl7_25)),
% 0.28/0.27 inference(forward_demodulation,[],[f61,f149])).
% 0.28/0.27 thf(f422,plain,(
% 0.28/0.27 spl7_31 | ~spl7_6 | ~spl7_25),
% 0.28/0.27 inference(avatar_split_clause,[],[f421,f147,f59,f243])).
% 0.28/0.27 thf(f423,plain,(
% 0.28/0.27 (((f1 @ $true)) = $false) | (~spl7_8 | ~spl7_25)),
% 0.28/0.27 inference(forward_demodulation,[],[f70,f149])).
% 0.28/0.27 thf(f424,plain,(
% 0.28/0.27 spl7_30 | ~spl7_8 | ~spl7_25),
% 0.28/0.27 inference(avatar_split_clause,[],[f423,f147,f68,f232])).
% 0.28/0.27 thf(f425,plain,(
% 0.28/0.27 (x = $false) | (((f1 @ $true)) = $false) | ~spl7_14),
% 0.28/0.27 inference(constrained_superposition,[],[f97,f6])).
% 0.28/0.27 thf(f428,plain,(
% 0.28/0.27 (((f1 @ $true)) = $false) | (~spl7_14 | spl7_29)),
% 0.28/0.27 inference(forward_subsumption_resolution,[],[f425,f229])).
% 0.28/0.27 thf(f429,plain,(
% 0.28/0.27 spl7_30 | ~spl7_14 | spl7_29),
% 0.28/0.27 inference(avatar_split_clause,[],[f428,f228,f95,f232])).
% 0.28/0.27 thf(f439,plain,(
% 0.28/0.27 ($true = $false) | (~spl7_15 | ~spl7_26 | ~spl7_28)),
% 0.28/0.27 inference(forward_demodulation,[],[f406,f349])).
% 0.28/0.27 thf(f440,plain,(
% 0.28/0.27 $false | (~spl7_15 | ~spl7_26 | ~spl7_28)),
% 0.28/0.27 inference(trivial_inequality_removal,[],[f439])).
% 0.28/0.27 thf(f441,plain,(
% 0.28/0.27 ~spl7_15 | ~spl7_26 | ~spl7_28),
% 0.28/0.27 inference(avatar_contradiction_clause,[],[f440])).
% 0.28/0.27 thf(f447,plain,(
% 0.28/0.27 ($true = $false) | (~spl7_30 | ~spl7_31)),
% 0.28/0.27 inference(forward_demodulation,[],[f245,f234])).
% 0.28/0.27 thf(f448,plain,(
% 0.28/0.27 $false | (~spl7_30 | ~spl7_31)),
% 0.28/0.27 inference(trivial_inequality_removal,[],[f447])).
% 0.28/0.27 thf(f449,plain,(
% 0.28/0.27 ~spl7_30 | ~spl7_31),
% 0.28/0.27 inference(avatar_contradiction_clause,[],[f448])).
% 0.28/0.27 thf(f451,plain,(
% 0.28/0.27 ($true != ((f1 @ $false))) | (~spl7_15 | spl7_28)),
% 0.28/0.27 inference(forward_demodulation,[],[f161,f102])).
% 0.28/0.27 thf(f458,plain,(
% 0.28/0.27 ($true = ((f1 @ $false))) | (~spl7_6 | ~spl7_27)),
% 0.28/0.27 inference(forward_demodulation,[],[f61,f158])).
% 0.28/0.27 thf(f465,plain,(
% 0.28/0.27 $false | (~spl7_6 | ~spl7_15 | ~spl7_27 | spl7_28)),
% 0.28/0.27 inference(forward_subsumption_resolution,[],[f458,f451])).
% 0.28/0.27 thf(f466,plain,(
% 0.28/0.27 ~spl7_6 | ~spl7_15 | ~spl7_27 | spl7_28),
% 0.28/0.27 inference(avatar_contradiction_clause,[],[f465])).
% 0.28/0.27 thf(f472,plain,(
% 0.28/0.27 (x = $false) | ($true = ((f1 @ $true))) | ~spl7_16),
% 0.28/0.27 inference(constrained_superposition,[],[f106,f6])).
% 0.28/0.27 thf(f476,plain,(
% 0.28/0.27 ($true = ((f0 @ $true))) | (~spl7_13 | ~spl7_22)),
% 0.28/0.27 inference(forward_demodulation,[],[f135,f93])).
% 0.28/0.27 thf(f477,plain,(
% 0.28/0.27 ($true = $false) | (~spl7_10 | ~spl7_13 | ~spl7_22 | ~spl7_23)),
% 0.28/0.27 inference(forward_demodulation,[],[f476,f396])).
% 0.28/0.27 thf(f478,plain,(
% 0.28/0.27 $false | (~spl7_10 | ~spl7_13 | ~spl7_22 | ~spl7_23)),
% 0.28/0.27 inference(trivial_inequality_removal,[],[f477])).
% 0.28/0.27 thf(f479,plain,(
% 0.28/0.27 ~spl7_10 | ~spl7_13 | ~spl7_22 | ~spl7_23),
% 0.28/0.27 inference(avatar_contradiction_clause,[],[f478])).
% 0.28/0.27 thf(f480,plain,(
% 0.28/0.27 (((f0 @ $true)) = $false) | (~spl7_13 | ~spl7_24)),
% 0.28/0.27 inference(forward_demodulation,[],[f144,f93])).
% 0.28/0.27 thf(f484,plain,(
% 0.28/0.27 (((f0 @ $false)) = $false) | (~spl7_10 | ~spl7_21)),
% 0.28/0.27 inference(forward_demodulation,[],[f79,f131])).
% 0.28/0.27 thf(f486,plain,(
% 0.28/0.27 (((f1 @ $true)) = $false) | (~spl7_13 | ~spl7_26)),
% 0.28/0.27 inference(forward_demodulation,[],[f153,f93])).
% 0.28/0.27 thf(f487,plain,(
% 0.28/0.27 spl7_30 | ~spl7_13 | ~spl7_26),
% 0.28/0.27 inference(avatar_split_clause,[],[f486,f151,f91,f232])).
% 0.28/0.27 thf(f488,plain,(
% 0.28/0.27 ($true = ((f1 @ $true))) | (~spl7_13 | ~spl7_28)),
% 0.28/0.27 inference(forward_demodulation,[],[f162,f93])).
% 0.28/0.27 thf(f490,plain,(
% 0.28/0.27 spl7_31 | ~spl7_13 | ~spl7_28),
% 0.28/0.27 inference(avatar_split_clause,[],[f488,f160,f91,f243])).
% 0.28/0.27 thf(f494,plain,(
% 0.28/0.27 (((f1 @ $true)) != $false) | (spl7_8 | ~spl7_25)),
% 0.28/0.27 inference(forward_demodulation,[],[f69,f149])).
% 0.28/0.27 thf(f495,plain,(
% 0.28/0.27 ~spl7_30 | spl7_8 | ~spl7_25),
% 0.28/0.27 inference(avatar_split_clause,[],[f494,f147,f68,f232])).
% 0.28/0.27 thf(f501,plain,(
% 0.28/0.27 ($true = $false) | (~spl7_2 | ~spl7_7 | ~spl7_13 | ~spl7_22)),
% 0.28/0.27 inference(forward_demodulation,[],[f476,f420])).
% 0.28/0.27 thf(f502,plain,(
% 0.28/0.27 $false | (~spl7_2 | ~spl7_7 | ~spl7_13 | ~spl7_22)),
% 0.28/0.27 inference(trivial_inequality_removal,[],[f501])).
% 0.28/0.27 thf(f503,plain,(
% 0.28/0.27 ~spl7_2 | ~spl7_7 | ~spl7_13 | ~spl7_22),
% 0.28/0.27 inference(avatar_contradiction_clause,[],[f502])).
% 0.28/0.27 thf(f505,plain,(
% 0.28/0.27 ($true = ((f0 @ $true))) | (~spl7_3 | ~spl7_7)),
% 0.28/0.27 inference(forward_demodulation,[],[f48,f66])).
% 0.28/0.27 thf(f529,plain,(
% 0.28/0.27 ($true = $false) | (~spl7_3 | ~spl7_7 | ~spl7_13 | ~spl7_24)),
% 0.28/0.27 inference(forward_demodulation,[],[f505,f480])).
% 0.28/0.27 thf(f530,plain,(
% 0.28/0.27 $false | (~spl7_3 | ~spl7_7 | ~spl7_13 | ~spl7_24)),
% 0.28/0.27 inference(trivial_inequality_removal,[],[f529])).
% 0.28/0.27 thf(f531,plain,(
% 0.28/0.27 ~spl7_3 | ~spl7_7 | ~spl7_13 | ~spl7_24),
% 0.28/0.27 inference(avatar_contradiction_clause,[],[f530])).
% 0.28/0.27 thf(f535,plain,(
% 0.28/0.27 (((f0 @ $false)) = $true) | (~spl7_11 | ~spl7_20)),
% 0.28/0.27 inference(forward_demodulation,[],[f126,f84])).
% 0.28/0.27 thf(f539,plain,(
% 0.28/0.27 ($true = $false) | (~spl7_10 | ~spl7_11 | ~spl7_20 | ~spl7_21)),
% 0.28/0.27 inference(forward_demodulation,[],[f535,f484])).
% 0.28/0.27 thf(f540,plain,(
% 0.28/0.27 $false | (~spl7_10 | ~spl7_11 | ~spl7_20 | ~spl7_21)),
% 0.28/0.27 inference(trivial_inequality_removal,[],[f539])).
% 0.28/0.27 thf(f541,plain,(
% 0.28/0.27 ~spl7_10 | ~spl7_11 | ~spl7_20 | ~spl7_21),
% 0.28/0.27 inference(avatar_contradiction_clause,[],[f540])).
% 0.28/0.27 thf(f556,plain,(
% 0.28/0.27 ($true = ((f0 @ $true))) | (~spl7_9 | ~spl7_20)),
% 0.28/0.27 inference(forward_demodulation,[],[f126,f75])).
% 0.28/0.27 thf(f557,plain,(
% 0.28/0.27 ($true = $false) | (~spl7_9 | ~spl7_13 | ~spl7_20 | ~spl7_24)),
% 0.28/0.27 inference(forward_demodulation,[],[f556,f480])).
% 0.28/0.27 thf(f558,plain,(
% 0.28/0.27 $false | (~spl7_9 | ~spl7_13 | ~spl7_20 | ~spl7_24)),
% 0.28/0.27 inference(trivial_inequality_removal,[],[f557])).
% 0.28/0.27 thf(f559,plain,(
% 0.28/0.27 ~spl7_9 | ~spl7_13 | ~spl7_20 | ~spl7_24),
% 0.28/0.27 inference(avatar_contradiction_clause,[],[f558])).
% 0.28/0.27 thf(f564,plain,(
% 0.28/0.27 spl7_31 | spl7_29 | ~spl7_16),
% 0.28/0.27 inference(avatar_split_clause,[],[f472,f104,f228,f243])).
% 0.28/0.27 thf(f580,plain,(
% 0.28/0.27 ($true = ((f1 @ $false))) | (~spl7_16 | ~spl7_29)),
% 0.28/0.27 inference(constrained_superposition,[],[f106,f230])).
% 0.28/0.27 thf(f585,plain,(
% 0.28/0.27 ($true != ((f1 @ $false))) | (spl7_6 | ~spl7_27)),
% 0.28/0.27 inference(forward_demodulation,[],[f60,f158])).
% 0.28/0.27 thf(f599,plain,(
% 0.28/0.27 $false | (spl7_6 | ~spl7_16 | ~spl7_27 | ~spl7_29)),
% 0.28/0.27 inference(forward_subsumption_resolution,[],[f580,f585])).
% 0.28/0.27 thf(f600,plain,(
% 0.28/0.27 spl7_6 | ~spl7_16 | ~spl7_27 | ~spl7_29),
% 0.28/0.27 inference(avatar_contradiction_clause,[],[f599])).
% 0.28/0.27 cnf(s1, plain, spl7_1 | spl7_2, inference(sat_conversion,[],[f44])).
% 0.28/0.27 cnf(s2, plain, spl7_3 | spl7_4, inference(sat_conversion,[],[f53])).
% 0.28/0.27 cnf(s3, plain, spl7_5 | spl7_6, inference(sat_conversion,[],[f62])).
% 0.28/0.27 cnf(s4, plain, spl7_7 | spl7_8, inference(sat_conversion,[],[f71])).
% 0.28/0.27 cnf(s5, plain, spl7_9 | spl7_10, inference(sat_conversion,[],[f80])).
% 0.28/0.27 cnf(s6, plain, spl7_11 | spl7_12, inference(sat_conversion,[],[f89])).
% 0.28/0.27 cnf(s7, plain, spl7_13 | spl7_14, inference(sat_conversion,[],[f98])).
% 0.28/0.27 cnf(s8, plain, spl7_15 | spl7_16, inference(sat_conversion,[],[f107])).
% 0.28/0.27 cnf(s9, plain, spl7_4 | spl7_17, inference(sat_conversion,[],[f112])).
% 0.28/0.27 cnf(s10, plain, spl7_1 | spl7_18, inference(sat_conversion,[],[f117])).
% 0.28/0.27 cnf(s11, plain, spl7_18 | spl7_19, inference(sat_conversion,[],[f122])).
% 0.28/0.27 cnf(s12, plain, spl7_17 | spl7_20, inference(sat_conversion,[],[f127])).
% 0.28/0.27 cnf(s13, plain, spl7_21 | spl7_22, inference(sat_conversion,[],[f136])).
% 0.28/0.27 cnf(s14, plain, spl7_23 | spl7_24, inference(sat_conversion,[],[f145])).
% 0.28/0.27 cnf(s15, plain, spl7_25 | spl7_26, inference(sat_conversion,[],[f154])).
% 0.28/0.27 cnf(s16, plain, spl7_27 | spl7_28, inference(sat_conversion,[],[f163])).
% 0.28/0.27 cnf(s17, plain, ~spl7_17 | ~spl7_18, inference(sat_conversion,[],[f166])).
% 0.28/0.27 cnf(s18, plain, ~spl7_5 | ~spl7_7, inference(sat_conversion,[],[f170])).
% 0.28/0.27 cnf(s20, plain, spl7_9 | spl7_11, inference(sat_conversion,[],[f189])).
% 0.28/0.27 cnf(s22, plain, spl7_13 | spl7_15, inference(sat_conversion,[],[f198])).
% 0.28/0.27 cnf(s23, plain, ~spl7_21 | ~spl7_23, inference(sat_conversion,[],[f206])).
% 0.28/0.27 cnf(s24, plain, ~spl7_25 | ~spl7_27, inference(sat_conversion,[],[f212])).
% 0.28/0.27 cnf(s25, plain, spl7_25 | spl7_27, inference(sat_conversion,[],[f216])).
% 0.28/0.27 cnf(s30, plain, ~spl7_2 | ~spl7_3 | ~spl7_5, inference(sat_conversion,[],[f262])).
% 0.28/0.27 cnf(s31, plain, ~spl7_2 | ~spl7_5 | ~spl7_11 | ~spl7_20, inference(sat_conversion,[],[f272])).
% 0.28/0.27 cnf(s32, plain, ~spl7_6 | ~spl7_8 | ~spl7_27, inference(sat_conversion,[],[f276])).
% 0.28/0.27 cnf(s33, plain, ~spl7_1 | ~spl7_4, inference(sat_conversion,[],[f279])).
% 0.28/0.27 cnf(s35, plain, spl7_2 | ~spl7_5 | ~spl7_11 | ~spl7_19, inference(sat_conversion,[],[f304])).
% 0.28/0.27 cnf(s37, plain, ~spl7_14 | ~spl7_15 | ~spl7_28 | ~spl7_29, inference(sat_conversion,[],[f319])).
% 0.28/0.27 cnf(s42, plain, ~spl7_12 | ~spl7_15 | ~spl7_21 | spl7_22, inference(sat_conversion,[],[f363])).
% 0.28/0.27 cnf(s43, plain, ~spl7_12 | ~spl7_15 | ~spl7_21 | ~spl7_24, inference(sat_conversion,[],[f367])).
% 0.28/0.27 cnf(s44, plain, ~spl7_9 | spl7_10 | ~spl7_19 | ~spl7_23, inference(sat_conversion,[],[f372])).
% 0.28/0.27 cnf(s45, plain, ~spl7_9 | ~spl7_12 | ~spl7_19 | ~spl7_23, inference(sat_conversion,[],[f377])).
% 0.28/0.27 cnf(s46, plain, spl7_21 | spl7_23, inference(sat_conversion,[],[f382])).
% 0.28/0.27 cnf(s49, plain, ~spl7_2 | ~spl7_5 | ~spl7_15 | ~spl7_22, inference(sat_conversion,[],[f405])).
% 0.28/0.27 cnf(s50, plain, spl7_5 | spl7_7, inference(sat_conversion,[],[f411])).
% 0.28/0.27 cnf(s52, plain, ~spl7_6 | ~spl7_25 | spl7_31, inference(sat_conversion,[],[f422])).
% 0.28/0.27 cnf(s53, plain, ~spl7_8 | ~spl7_25 | spl7_30, inference(sat_conversion,[],[f424])).
% 0.28/0.27 cnf(s54, plain, ~spl7_14 | spl7_29 | spl7_30, inference(sat_conversion,[],[f429])).
% 0.28/0.27 cnf(s55, plain, ~spl7_15 | ~spl7_26 | ~spl7_28, inference(sat_conversion,[],[f441])).
% 0.28/0.27 cnf(s56, plain, ~spl7_30 | ~spl7_31, inference(sat_conversion,[],[f449])).
% 0.28/0.27 cnf(s58, plain, ~spl7_6 | ~spl7_15 | ~spl7_27 | spl7_28, inference(sat_conversion,[],[f466])).
% 0.28/0.27 cnf(s61, plain, ~spl7_10 | ~spl7_13 | ~spl7_22 | ~spl7_23, inference(sat_conversion,[],[f479])).
% 0.28/0.27 cnf(s62, plain, ~spl7_13 | ~spl7_26 | spl7_30, inference(sat_conversion,[],[f487])).
% 0.28/0.27 cnf(s63, plain, ~spl7_13 | ~spl7_28 | spl7_31, inference(sat_conversion,[],[f490])).
% 0.28/0.27 cnf(s66, plain, spl7_8 | ~spl7_25 | ~spl7_30, inference(sat_conversion,[],[f495])).
% 0.28/0.27 cnf(s67, plain, ~spl7_2 | ~spl7_7 | ~spl7_13 | ~spl7_22, inference(sat_conversion,[],[f503])).
% 0.28/0.27 cnf(s70, plain, ~spl7_3 | ~spl7_7 | ~spl7_13 | ~spl7_24, inference(sat_conversion,[],[f531])).
% 0.28/0.27 cnf(s72, plain, ~spl7_10 | ~spl7_11 | ~spl7_20 | ~spl7_21, inference(sat_conversion,[],[f541])).
% 0.28/0.27 cnf(s75, plain, ~spl7_9 | ~spl7_13 | ~spl7_20 | ~spl7_24, inference(sat_conversion,[],[f559])).
% 0.28/0.27 cnf(s77, plain, ~spl7_16 | spl7_29 | spl7_31, inference(sat_conversion,[],[f564])).
% 0.28/0.27 cnf(s81, plain, spl7_6 | ~spl7_16 | ~spl7_27 | ~spl7_29, inference(sat_conversion,[],[f600])).
% 0.28/0.27 cnf(s82, plain, spl7_25 | ~spl7_15 | ~spl7_6, inference(rat,[],[s55,s58,s15,s25])).
% 0.28/0.27 cnf(s83, plain, spl7_13 | spl7_8 | ~spl7_6, inference(rat,[],[s37,s16,s54,s24,s66,s82,s7,s22])).
% 0.28/0.27 cnf(s84, plain, ~spl7_13 | ~spl7_7 | spl7_1, inference(rat,[],[s72,s5,s20,s75,s14,s23,s13,s67,s1,s12,s17,s10])).
% 0.28/0.27 cnf(s85, plain, spl7_5 | spl7_1, inference(rat,[],[s56,s52,s53,s82,s83,s22,s84,s3,s50])).
% 0.28/0.27 cnf(s86, plain, ~spl7_6 | ~spl7_8, inference(rat,[],[s56,s52,s53,s25,s32])).
% 0.28/0.27 cnf(s87, plain, ~spl7_15 | spl7_22 | ~spl7_12, inference(rat,[],[s13,s42])).
% 0.28/0.27 cnf(s88, plain, ~spl7_15 | spl7_1, inference(rat,[],[s87,s49,s6,s31,s85,s1,s12,s17,s10])).
% 0.28/0.27 cnf(s89, plain, spl7_25 | spl7_1, inference(rat,[],[s56,s77,s62,s81,s15,s25,s86,s4,s18,s85,s22,s8,s88])).
% 0.28/0.27 cnf(s90, plain, spl7_1, inference(rat,[],[s63,s16,s56,s24,s53,s89,s22,s88,s4,s18,s85])).
% 0.28/0.27 cnf(s91, plain, ~spl7_4, inference(rat,[],[s33,s90])).
% 0.28/0.27 cnf(s92, plain, spl7_17, inference(rat,[],[s9,s91])).
% 0.28/0.27 cnf(s93, plain, spl7_3, inference(rat,[],[s2,s91])).
% 0.28/0.27 cnf(s94, plain, ~spl7_18, inference(rat,[],[s17,s92])).
% 0.28/0.27 cnf(s95, plain, spl7_19, inference(rat,[],[s11,s94])).
% 0.28/0.27 cnf(s96, plain, spl7_10 | ~spl7_23, inference(rat,[],[s5,s44,s95])).
% 0.28/0.27 cnf(s97, plain, ~spl7_22 | ~spl7_23 | ~spl7_13, inference(rat,[],[s96,s61])).
% 0.28/0.27 cnf(s98, plain, ~spl7_13 | ~spl7_7, inference(rat,[],[s97,s13,s23,s14,s70,s93])).
% 0.28/0.27 cnf(s99, plain, spl7_5, inference(rat,[],[s98,s83,s86,s3,s50])).
% 0.28/0.27 cnf(s100, plain, ~spl7_7, inference(rat,[],[s18,s99])).
% 0.28/0.27 cnf(s101, plain, ~spl7_2, inference(rat,[],[s30,s93,s99])).
% 0.28/0.27 cnf(s102, plain, spl7_8, inference(rat,[],[s4,s100])).
% 0.28/0.27 cnf(s103, plain, ~spl7_11, inference(rat,[],[s35,s95,s99,s101])).
% 0.28/0.27 cnf(s104, plain, ~spl7_6, inference(rat,[],[s86,s102])).
% 0.28/0.27 cnf(s105, plain, spl7_9, inference(rat,[],[s20,s103])).
% 0.28/0.27 cnf(s106, plain, spl7_12, inference(rat,[],[s6,s103])).
% 0.28/0.27 cnf(s107, plain, ~spl7_23, inference(rat,[],[s45,s95,s105,s106])).
% 0.28/0.27 cnf(s108, plain, spl7_21, inference(rat,[],[s46,s107])).
% 0.28/0.27 cnf(s109, plain, spl7_24, inference(rat,[],[s14,s107])).
% 0.28/0.27 cnf(s111, plain, ~spl7_15, inference(rat,[],[s43,s108,s106,s109])).
% 0.28/0.27 cnf(s112, plain, spl7_13, inference(rat,[],[s22,s111])).
% 0.28/0.27 cnf(s113, plain, spl7_16, inference(rat,[],[s8,s111])).
% 0.28/0.27 cnf(s116, plain, spl7_25, inference(rat,[],[s56,s77,s62,s81,s15,s25,s113,s112,s104])).
% 0.28/0.27 cnf(s117, plain, spl7_30, inference(rat,[],[s53,s102,s116])).
% 0.28/0.27 cnf(s118, plain, ~spl7_27, inference(rat,[],[s24,s116])).
% 0.28/0.27 cnf(s119, plain, ~spl7_31, inference(rat,[],[s56,s117])).
% 0.28/0.27 cnf(s121, plain, spl7_28, inference(rat,[],[s16,s118])).
% 0.28/0.27 cnf(s122, plain, $false, inference(rat,[],[s63,s112,s121,s119])).
% 0.28/0.27 thf(f601,plain,(
% 0.28/0.27 $false),
% 0.28/0.27 inference(avatar_sat_refutation,[],[s122])).
% 0.28/0.27 % SZS output end Proof for theBenchmark
% 0.28/0.27 % (1093650)------------------------------
% 0.28/0.27 % (1093650)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.28/0.27 % (1093650)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.28/0.27 % (1093650)CaDiCaL version: 2.1.3
% 0.28/0.27 % (1093650)Termination reason: Refutation
% 0.28/0.27 % (1093650)Time elapsed: 0.016 s
% 0.28/0.27 % (1093650)Peak memory usage: 13 MB
% 0.28/0.27 % (1093650)Instructions burned: 25 (million)
% 0.28/0.27 % (1093633)Success in time 0.051 s
% 0.28/0.27 % Vampire exiting
%------------------------------------------------------------------------------