%------------------------------------------------------------------------------
% File : Vampire-SAT---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/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n012.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 08:50:19 AM UTC 2026
% Result : Theorem 0.08s 0.17s
% Output : Refutation 0.08s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SYO500^1.002 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.00/0.10 % Computer : n012.cluster.edu
% 0.00/0.10 % Model : x86_64 x86_64
% 0.00/0.10 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.00/0.10 % Memory : 8046.5625MB
% 0.00/0.10 % OS : Linux 6.8.0-71-generic
% 0.00/0.10 % CPULimit : 300
% 0.00/0.10 % WCLimit : 300
% 0.00/0.10 % DateTime : Tue Sep 29 17:10:34 UTC 2026
% 0.00/0.11 % CPUTime :
% 0.00/0.11 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.12 Running first-order model finding
% 0.08/0.12 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.17 % (406080)Will run a generic schedule for satisfiability detection.
% 0.08/0.17 % (406090)% WARNING: option uhcvi not known.
% 0.08/0.17 % (406089)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2789787292_2999 on theBenchmark for (2999ds/0Mi)
% 0.08/0.17 % (406094)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=727699351:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.08/0.17 % (406090)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=813326090:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.08/0.17 % (406091)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=222609066:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.08/0.17 % Exception at run slice level% (406095)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=798040165:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.08/0.17
% 0.08/0.17 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 0.08/0.17 % (406092)dis+10_1_sil=32000:sp=arity:random_seed=3317311720:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.08/0.17 % (406093)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=364960092:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.08/0.17 % (406090)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.08/0.17 % (406090)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 0.08/0.17 % (406093)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.08/0.17 % (406094) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-406080-406094"...
% 0.08/0.17 % (406093) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-406080-406093"...
% 0.08/0.17 % (406105)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1245372670:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.08/0.17 % Exception at run slice level
% 0.08/0.17 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 0.08/0.17 % (406094)...printing done.
% 0.08/0.17 % (406093)...printing done.
% 0.08/0.17 % (406093)Refutation found. Thanks to Tanya!
% 0.08/0.17 % SZS status Theorem for theBenchmark
% 0.08/0.17 % SZS output start Proof for theBenchmark
% 0.08/0.17 thf(type_def_5, type, sTfun: ($tType * $tType) > $tType).
% 0.08/0.17 thf(func_def_0, type, x: $o).
% 0.08/0.17 thf(func_def_1, type, f0: ($o > $o)).
% 0.08/0.17 thf(func_def_2, type, f1: ($o > $o)).
% 0.08/0.17 thf(f1,conjecture,(
% 0.08/0.17 (((f0 @ (f0 @ (f0 @ (f1 @ x))))) = ((f0 @ (f1 @ (f1 @ (f1 @ x))))))),
% 0.08/0.17 file('/export/starexec/sandbox/benchmark/theBenchmark.p',kaminski2)).
% 0.08/0.17 thf(f2,negated_conjecture,(
% 0.08/0.17 ~ (((f0 @ (f0 @ (f0 @ (f1 @ x))))) = ((f0 @ (f1 @ (f1 @ (f1 @ x))))))),
% 0.08/0.17 inference(negated_conjecture,[status(cth)],[f1])).
% 0.08/0.17 thf(f3,plain,(
% 0.08/0.17 (((f0 @ (f0 @ (f0 @ (f1 @ x))))) != ((f0 @ (f1 @ (f1 @ (f1 @ x))))))),
% 0.08/0.17 inference(flattening,[],[f2])).
% 0.08/0.17 thf(f4,plain,(
% 0.08/0.17 (((f0 @ (f0 @ (f0 @ (f1 @ x))))) != ((f0 @ (f1 @ (f1 @ (f1 @ x))))))),
% 0.08/0.17 inference(cnf_transformation,[],[f3])).
% 0.08/0.17 thf(f6,definition,(
% 0.08/0.17 ( ! [X0 : $o] : (($true = X0) | ($false = X0)) )),
% 0.08/0.17 introduced(theory,[fool_exhaustiveness_axiom])).
% 0.08/0.17 thf(f7,plain,(
% 0.08/0.17 (((f0 @ (f0 @ (f0 @ (f1 @ x))))) = $true) | (((f0 @ (f1 @ (f1 @ (f1 @ x))))) = $true)),
% 0.08/0.17 inference(xor_proxy_clausification,[],[f4])).
% 0.08/0.17 thf(f8,plain,(
% 0.08/0.17 (((f0 @ (f0 @ (f0 @ (f1 @ x))))) = $false) | (((f0 @ (f1 @ (f1 @ (f1 @ x))))) = $false)),
% 0.08/0.17 inference(xor_proxy_clausification,[],[f4])).
% 0.08/0.17 thf(f10,definition,(
% 0.08/0.17 spl0_1 <=> (((f0 @ (f1 @ (f1 @ (f1 @ x))))) = $false)),
% 0.08/0.17 introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition])).
% 0.08/0.17 thf(f11,plain,(
% 0.08/0.17 (((f0 @ (f1 @ (f1 @ (f1 @ x))))) != $false) | spl0_1),
% 0.08/0.17 inference(avatar_component_clause,[],[f10])).
% 0.08/0.17 thf(f12,plain,(
% 0.08/0.17 (((f0 @ (f1 @ (f1 @ (f1 @ x))))) = $false) | ~spl0_1),
% 0.08/0.17 inference(avatar_component_clause,[],[f10])).
% 0.08/0.17 thf(f14,definition,(
% 0.08/0.17 spl0_2 <=> (((f0 @ (f0 @ (f0 @ (f1 @ x))))) = $false)),
% 0.08/0.17 introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition])).
% 0.08/0.17 thf(f15,plain,(
% 0.08/0.17 (((f0 @ (f0 @ (f0 @ (f1 @ x))))) != $false) | spl0_2),
% 0.08/0.17 inference(avatar_component_clause,[],[f14])).
% 0.08/0.17 thf(f16,plain,(
% 0.08/0.17 (((f0 @ (f0 @ (f0 @ (f1 @ x))))) = $false) | ~spl0_2),
% 0.08/0.17 inference(avatar_component_clause,[],[f14])).
% 0.08/0.17 thf(f17,plain,(
% 0.08/0.17 spl0_1 | spl0_2),
% 0.08/0.17 inference(avatar_split_clause,[],[f8,f14,f10])).
% 0.08/0.17 thf(f19,definition,(
% 0.08/0.17 spl0_3 <=> (((f0 @ (f1 @ (f1 @ (f1 @ x))))) = $true)),
% 0.08/0.17 introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition])).
% 0.08/0.17 thf(f20,plain,(
% 0.08/0.17 (((f0 @ (f1 @ (f1 @ (f1 @ x))))) != $true) | spl0_3),
% 0.08/0.17 inference(avatar_component_clause,[],[f19])).
% 0.08/0.17 thf(f21,plain,(
% 0.08/0.17 (((f0 @ (f1 @ (f1 @ (f1 @ x))))) = $true) | ~spl0_3),
% 0.08/0.17 inference(avatar_component_clause,[],[f19])).
% 0.08/0.17 thf(f23,definition,(
% 0.08/0.17 spl0_4 <=> (((f0 @ (f0 @ (f0 @ (f1 @ x))))) = $true)),
% 0.08/0.17 introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition])).
% 0.08/0.17 thf(f25,plain,(
% 0.08/0.17 (((f0 @ (f0 @ (f0 @ (f1 @ x))))) = $true) | ~spl0_4),
% 0.08/0.17 inference(avatar_component_clause,[],[f23])).
% 0.08/0.17 thf(f26,plain,(
% 0.08/0.17 spl0_3 | spl0_4),
% 0.08/0.17 inference(avatar_split_clause,[],[f7,f23,f19])).
% 0.08/0.17 thf(f30,plain,(
% 0.08/0.17 ($false = ((f0 @ (f0 @ (f0 @ (f1 @ $true)))))) | (x = $false) | ~spl0_2),
% 0.08/0.17 inference(constrained_superposition,[],[f16,f6])).
% 0.08/0.17 thf(f34,plain,(
% 0.08/0.17 ($true = ((f0 @ $true))) | (((f1 @ (f1 @ (f1 @ x)))) = $false) | ~spl0_3),
% 0.08/0.17 inference(constrained_superposition,[],[f21,f6])).
% 0.08/0.17 thf(f35,plain,(
% 0.08/0.17 ($false = ((f0 @ (f0 @ $true)))) | (((f0 @ (f1 @ x))) = $false) | ~spl0_2),
% 0.08/0.17 inference(constrained_superposition,[],[f16,f6])).
% 0.08/0.17 thf(f36,plain,(
% 0.08/0.17 ($false = ((f0 @ $true))) | (((f0 @ (f0 @ (f1 @ x)))) = $false) | ~spl0_2),
% 0.08/0.17 inference(constrained_superposition,[],[f16,f6])).
% 0.08/0.17 thf(f45,definition,(
% 0.08/0.17 spl0_5 <=> (((f0 @ (f0 @ (f1 @ x)))) = $false)),
% 0.08/0.17 introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition])).
% 0.08/0.17 thf(f46,plain,(
% 0.08/0.17 (((f0 @ (f0 @ (f1 @ x)))) != $false) | spl0_5),
% 0.08/0.17 inference(avatar_component_clause,[],[f45])).
% 0.08/0.17 thf(f47,plain,(
% 0.08/0.17 (((f0 @ (f0 @ (f1 @ x)))) = $false) | ~spl0_5),
% 0.08/0.17 inference(avatar_component_clause,[],[f45])).
% 0.08/0.17 thf(f49,definition,(
% 0.08/0.17 spl0_6 <=> ($false = ((f0 @ $true)))),
% 0.08/0.17 introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition])).
% 0.08/0.17 thf(f50,plain,(
% 0.08/0.17 ($false != ((f0 @ $true))) | spl0_6),
% 0.08/0.17 inference(avatar_component_clause,[],[f49])).
% 0.08/0.17 thf(f51,plain,(
% 0.08/0.17 ($false = ((f0 @ $true))) | ~spl0_6),
% 0.08/0.17 inference(avatar_component_clause,[],[f49])).
% 0.08/0.17 thf(f52,plain,(
% 0.08/0.17 spl0_5 | spl0_6 | ~spl0_2),
% 0.08/0.17 inference(avatar_split_clause,[],[f36,f14,f49,f45])).
% 0.08/0.17 thf(f54,definition,(
% 0.08/0.17 spl0_7 <=> (((f0 @ (f1 @ x))) = $false)),
% 0.08/0.17 introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition])).
% 0.08/0.17 thf(f55,plain,(
% 0.08/0.17 (((f0 @ (f1 @ x))) != $false) | spl0_7),
% 0.08/0.17 inference(avatar_component_clause,[],[f54])).
% 0.08/0.17 thf(f56,plain,(
% 0.08/0.17 (((f0 @ (f1 @ x))) = $false) | ~spl0_7),
% 0.08/0.17 inference(avatar_component_clause,[],[f54])).
% 0.08/0.17 thf(f58,definition,(
% 0.08/0.17 spl0_8 <=> ($false = ((f0 @ (f0 @ $true))))),
% 0.08/0.17 introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition])).
% 0.08/0.17 thf(f59,plain,(
% 0.08/0.17 ($false != ((f0 @ (f0 @ $true)))) | spl0_8),
% 0.08/0.17 inference(avatar_component_clause,[],[f58])).
% 0.08/0.17 thf(f60,plain,(
% 0.08/0.17 ($false = ((f0 @ (f0 @ $true)))) | ~spl0_8),
% 0.08/0.17 inference(avatar_component_clause,[],[f58])).
% 0.08/0.17 thf(f61,plain,(
% 0.08/0.17 spl0_7 | spl0_8 | ~spl0_2),
% 0.08/0.17 inference(avatar_split_clause,[],[f35,f14,f58,f54])).
% 0.08/0.17 thf(f63,definition,(
% 0.08/0.17 spl0_9 <=> (((f1 @ (f1 @ (f1 @ x)))) = $false)),
% 0.08/0.17 introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition])).
% 0.08/0.17 thf(f64,plain,(
% 0.08/0.17 (((f1 @ (f1 @ (f1 @ x)))) != $false) | spl0_9),
% 0.08/0.17 inference(avatar_component_clause,[],[f63])).
% 0.08/0.17 thf(f65,plain,(
% 0.08/0.17 (((f1 @ (f1 @ (f1 @ x)))) = $false) | ~spl0_9),
% 0.08/0.17 inference(avatar_component_clause,[],[f63])).
% 0.08/0.17 thf(f67,definition,(
% 0.08/0.17 spl0_10 <=> ($true = ((f0 @ $true)))),
% 0.08/0.17 introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition])).
% 0.08/0.17 thf(f68,plain,(
% 0.08/0.17 ($true != ((f0 @ $true))) | spl0_10),
% 0.08/0.17 inference(avatar_component_clause,[],[f67])).
% 0.08/0.17 thf(f69,plain,(
% 0.08/0.17 ($true = ((f0 @ $true))) | ~spl0_10),
% 0.08/0.17 inference(avatar_component_clause,[],[f67])).
% 0.08/0.17 thf(f70,plain,(
% 0.08/0.17 spl0_9 | spl0_10 | ~spl0_3),
% 0.08/0.17 inference(avatar_split_clause,[],[f34,f19,f67,f63])).
% 0.08/0.17 thf(f72,definition,(
% 0.08/0.17 spl0_11 <=> (((f1 @ (f1 @ x))) = $false)),
% 0.08/0.17 introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition])).
% 0.08/0.17 thf(f73,plain,(
% 0.08/0.17 (((f1 @ (f1 @ x))) != $false) | spl0_11),
% 0.08/0.17 inference(avatar_component_clause,[],[f72])).
% 0.08/0.17 thf(f74,plain,(
% 0.08/0.17 (((f1 @ (f1 @ x))) = $false) | ~spl0_11),
% 0.08/0.17 inference(avatar_component_clause,[],[f72])).
% 0.08/0.17 thf(f76,definition,(
% 0.08/0.17 spl0_12 <=> ($true = ((f0 @ (f1 @ $true))))),
% 0.08/0.17 introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition])).
% 0.08/0.17 thf(f77,plain,(
% 0.08/0.17 ($true != ((f0 @ (f1 @ $true)))) | spl0_12),
% 0.08/0.17 inference(avatar_component_clause,[],[f76])).
% 0.08/0.17 thf(f78,plain,(
% 0.08/0.17 ($true = ((f0 @ (f1 @ $true)))) | ~spl0_12),
% 0.08/0.17 inference(avatar_component_clause,[],[f76])).
% 0.08/0.17 thf(f81,definition,(
% 0.08/0.17 spl0_13 <=> (((f1 @ x)) = $false)),
% 0.08/0.17 introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition])).
% 0.08/0.17 thf(f82,plain,(
% 0.08/0.17 (((f1 @ x)) != $false) | spl0_13),
% 0.08/0.17 inference(avatar_component_clause,[],[f81])).
% 0.08/0.17 thf(f83,plain,(
% 0.08/0.17 (((f1 @ x)) = $false) | ~spl0_13),
% 0.08/0.17 inference(avatar_component_clause,[],[f81])).
% 0.08/0.17 thf(f90,definition,(
% 0.08/0.17 spl0_15 <=> ($true = ((f0 @ (f1 @ (f1 @ $true)))))),
% 0.08/0.17 introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition])).
% 0.08/0.17 thf(f91,plain,(
% 0.08/0.17 ($true != ((f0 @ (f1 @ (f1 @ $true))))) | spl0_15),
% 0.08/0.17 inference(avatar_component_clause,[],[f90])).
% 0.08/0.17 thf(f92,plain,(
% 0.08/0.17 ($true = ((f0 @ (f1 @ (f1 @ $true))))) | ~spl0_15),
% 0.08/0.17 inference(avatar_component_clause,[],[f90])).
% 0.08/0.17 thf(f95,definition,(
% 0.08/0.17 spl0_16 <=> (x = $false)),
% 0.08/0.17 introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition])).
% 0.08/0.17 thf(f96,plain,(
% 0.08/0.17 (x != $false) | spl0_16),
% 0.08/0.17 inference(avatar_component_clause,[],[f95])).
% 0.08/0.17 thf(f97,plain,(
% 0.08/0.17 (x = $false) | ~spl0_16),
% 0.08/0.17 inference(avatar_component_clause,[],[f95])).
% 0.08/0.17 thf(f99,definition,(
% 0.08/0.17 spl0_17 <=> ($false = ((f0 @ (f0 @ (f0 @ (f1 @ $true))))))),
% 0.08/0.17 introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition])).
% 0.08/0.17 thf(f101,plain,(
% 0.08/0.17 ($false = ((f0 @ (f0 @ (f0 @ (f1 @ $true)))))) | ~spl0_17),
% 0.08/0.17 inference(avatar_component_clause,[],[f99])).
% 0.08/0.17 thf(f102,plain,(
% 0.08/0.17 spl0_16 | spl0_17 | ~spl0_2),
% 0.08/0.17 inference(avatar_split_clause,[],[f30,f14,f99,f95])).
% 0.08/0.17 thf(f117,plain,(
% 0.08/0.17 ($true = $false) | (~spl0_1 | ~spl0_3)),
% 0.08/0.17 inference(constrained_superposition,[],[f12,f21])).
% 0.08/0.17 thf(f121,plain,(
% 0.08/0.17 $false | (~spl0_1 | ~spl0_3)),
% 0.08/0.17 inference(trivial_inequality_removal,[],[f117])).
% 0.08/0.17 thf(f122,plain,(
% 0.08/0.17 ~spl0_1 | ~spl0_3),
% 0.08/0.17 inference(avatar_contradiction_clause,[],[f121])).
% 0.08/0.17 thf(f125,plain,(
% 0.08/0.17 ($false = ((f0 @ (f0 @ (f0 @ $false))))) | (~spl0_2 | ~spl0_13)),
% 0.08/0.17 inference(forward_demodulation,[],[f16,f83])).
% 0.08/0.17 thf(f129,plain,(
% 0.08/0.17 ($false = ((f1 @ $false))) | (~spl0_13 | ~spl0_16)),
% 0.08/0.17 inference(constrained_superposition,[],[f83,f97])).
% 0.08/0.17 thf(f133,plain,(
% 0.08/0.17 ($false = ((f0 @ (f0 @ $true)))) | ($false = ((f0 @ $false))) | (~spl0_2 | ~spl0_13)),
% 0.08/0.17 inference(constrained_superposition,[],[f125,f6])).
% 0.08/0.17 thf(f143,plain,(
% 0.08/0.17 ($false = ((f1 @ $false))) | (~spl0_11 | ~spl0_13)),
% 0.08/0.17 inference(constrained_superposition,[],[f74,f83])).
% 0.08/0.17 thf(f145,plain,(
% 0.08/0.17 ($true = ((f0 @ (f1 @ $false)))) | (~spl0_3 | ~spl0_11)),
% 0.08/0.17 inference(constrained_superposition,[],[f21,f74])).
% 0.08/0.17 thf(f157,plain,(
% 0.08/0.17 ($false = ((f0 @ $true))) | ($false = ((f0 @ $true))) | ~spl0_8),
% 0.08/0.17 inference(constrained_superposition,[],[f60,f6])).
% 0.08/0.17 thf(f160,plain,(
% 0.08/0.17 ($false = ((f0 @ $true))) | ~spl0_8),
% 0.08/0.17 inference(duplicate_literal_removal,[],[f157])).
% 0.08/0.17 thf(f161,plain,(
% 0.08/0.17 spl0_6 | ~spl0_8),
% 0.08/0.17 inference(avatar_split_clause,[],[f160,f58,f49])).
% 0.08/0.17 thf(f164,plain,(
% 0.08/0.17 ($false != ((f1 @ $false))) | (spl0_11 | ~spl0_13)),
% 0.08/0.17 inference(forward_demodulation,[],[f73,f83])).
% 0.08/0.17 thf(f165,plain,(
% 0.08/0.17 $false | (spl0_11 | ~spl0_13 | ~spl0_16)),
% 0.08/0.17 inference(forward_subsumption_resolution,[],[f164,f129])).
% 0.08/0.17 thf(f166,plain,(
% 0.08/0.17 spl0_11 | ~spl0_13 | ~spl0_16),
% 0.08/0.17 inference(avatar_contradiction_clause,[],[f165])).
% 0.08/0.17 thf(f167,plain,(
% 0.08/0.17 ($false != ((f1 @ $false))) | (spl0_13 | ~spl0_16)),
% 0.08/0.17 inference(forward_demodulation,[],[f82,f97])).
% 0.08/0.17 thf(f168,plain,(
% 0.08/0.17 ($false = ((f0 @ (f0 @ (f0 @ (f1 @ $false)))))) | (~spl0_2 | ~spl0_16)),
% 0.08/0.17 inference(forward_demodulation,[],[f16,f97])).
% 0.08/0.17 thf(f169,plain,(
% 0.08/0.17 ($false = ((f0 @ (f0 @ (f1 @ $false))))) | (~spl0_5 | ~spl0_16)),
% 0.08/0.17 inference(forward_demodulation,[],[f47,f97])).
% 0.08/0.17 thf(f170,plain,(
% 0.08/0.17 ($false = ((f0 @ (f1 @ $false)))) | (~spl0_7 | ~spl0_16)),
% 0.08/0.17 inference(forward_demodulation,[],[f56,f97])).
% 0.08/0.17 thf(f171,plain,(
% 0.08/0.17 ($false != ((f1 @ (f1 @ $false)))) | (spl0_11 | ~spl0_16)),
% 0.08/0.17 inference(forward_demodulation,[],[f73,f97])).
% 0.08/0.17 thf(f182,plain,(
% 0.08/0.17 ($true = ((f0 @ $true))) | ($false = ((f1 @ $true))) | ~spl0_12),
% 0.08/0.17 inference(constrained_superposition,[],[f78,f6])).
% 0.08/0.17 thf(f187,definition,(
% 0.08/0.17 spl0_19 <=> ($false = ((f1 @ $true)))),
% 0.08/0.17 introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition])).
% 0.08/0.17 thf(f188,plain,(
% 0.08/0.17 ($false != ((f1 @ $true))) | spl0_19),
% 0.08/0.17 inference(avatar_component_clause,[],[f187])).
% 0.08/0.17 thf(f189,plain,(
% 0.08/0.17 ($false = ((f1 @ $true))) | ~spl0_19),
% 0.08/0.17 inference(avatar_component_clause,[],[f187])).
% 0.08/0.17 thf(f190,plain,(
% 0.08/0.17 spl0_19 | spl0_10 | ~spl0_12),
% 0.08/0.17 inference(avatar_split_clause,[],[f182,f76,f67,f187])).
% 0.08/0.17 thf(f195,plain,(
% 0.08/0.17 ($false = ((f0 @ $true))) | ($false = ((f1 @ $false))) | (~spl0_7 | ~spl0_16)),
% 0.08/0.17 inference(constrained_superposition,[],[f170,f6])).
% 0.08/0.17 thf(f200,plain,(
% 0.08/0.17 ($false = ((f0 @ $true))) | (~spl0_7 | spl0_13 | ~spl0_16)),
% 0.08/0.17 inference(forward_subsumption_resolution,[],[f195,f167])).
% 0.08/0.17 thf(f202,plain,(
% 0.08/0.17 spl0_6 | ~spl0_7 | spl0_13 | ~spl0_16),
% 0.08/0.17 inference(avatar_split_clause,[],[f200,f95,f81,f54,f49])).
% 0.08/0.17 thf(f203,plain,(
% 0.08/0.17 ( ! [X0 : $o] : (($false = ((f0 @ X0))) | ($false = X0)) ) | ~spl0_6),
% 0.08/0.17 inference(constrained_superposition,[],[f51,f6])).
% 0.08/0.17 thf(f208,plain,(
% 0.08/0.17 ($false != ((f1 @ $true))) | ($false = ((f1 @ $false))) | (spl0_11 | ~spl0_16)),
% 0.08/0.17 inference(constrained_superposition,[],[f171,f6])).
% 0.08/0.17 thf(f210,plain,(
% 0.08/0.17 ($false = ((f1 @ $false))) | (spl0_11 | ~spl0_16 | ~spl0_19)),
% 0.08/0.17 inference(forward_subsumption_resolution,[],[f208,f189])).
% 0.08/0.17 thf(f211,plain,(
% 0.08/0.17 $false | (spl0_11 | spl0_13 | ~spl0_16 | ~spl0_19)),
% 0.08/0.17 inference(forward_subsumption_resolution,[],[f210,f167])).
% 0.08/0.17 thf(f212,plain,(
% 0.08/0.17 spl0_11 | spl0_13 | ~spl0_16 | ~spl0_19),
% 0.08/0.17 inference(avatar_contradiction_clause,[],[f211])).
% 0.08/0.17 thf(f213,plain,(
% 0.08/0.17 ($true = $false) | (~spl0_6 | ~spl0_10)),
% 0.08/0.17 inference(forward_demodulation,[],[f69,f51])).
% 0.08/0.17 thf(f214,plain,(
% 0.08/0.17 $false | (~spl0_6 | ~spl0_10)),
% 0.08/0.17 inference(trivial_inequality_removal,[],[f213])).
% 0.08/0.17 thf(f215,plain,(
% 0.08/0.17 ~spl0_6 | ~spl0_10),
% 0.08/0.17 inference(avatar_contradiction_clause,[],[f214])).
% 0.08/0.17 thf(f217,plain,(
% 0.08/0.17 ($true = ((f0 @ (f0 @ (f0 @ (f1 @ $false)))))) | (~spl0_4 | ~spl0_16)),
% 0.08/0.17 inference(forward_demodulation,[],[f25,f97])).
% 0.08/0.17 thf(f219,plain,(
% 0.08/0.17 ($false != ((f0 @ $false))) | (spl0_1 | ~spl0_9)),
% 0.08/0.17 inference(forward_demodulation,[],[f11,f65])).
% 0.08/0.17 thf(f220,plain,(
% 0.08/0.17 ($true = $false) | (~spl0_2 | ~spl0_4 | ~spl0_16)),
% 0.08/0.17 inference(forward_demodulation,[],[f217,f168])).
% 0.08/0.17 thf(f221,plain,(
% 0.08/0.17 $false | (~spl0_2 | ~spl0_4 | ~spl0_16)),
% 0.08/0.17 inference(trivial_inequality_removal,[],[f220])).
% 0.08/0.17 thf(f222,plain,(
% 0.08/0.17 ~spl0_2 | ~spl0_4 | ~spl0_16),
% 0.08/0.17 inference(avatar_contradiction_clause,[],[f221])).
% 0.08/0.17 thf(f223,plain,(
% 0.08/0.17 ($false = ((f0 @ $false))) | (~spl0_1 | ~spl0_9)),
% 0.08/0.17 inference(forward_demodulation,[],[f12,f65])).
% 0.08/0.17 thf(f236,plain,(
% 0.08/0.17 ($true != ((f0 @ $true))) | ($false = ((f1 @ $true))) | spl0_12),
% 0.08/0.17 inference(constrained_superposition,[],[f77,f6])).
% 0.08/0.17 thf(f237,plain,(
% 0.08/0.17 ($true != $true) | ($false = ((f0 @ (f1 @ $true)))) | spl0_12),
% 0.08/0.17 inference(constrained_superposition,[],[f77,f6])).
% 0.08/0.17 thf(f238,plain,(
% 0.08/0.17 ($false = ((f0 @ (f1 @ $true)))) | spl0_12),
% 0.08/0.17 inference(trivial_inequality_removal,[],[f237])).
% 0.08/0.17 thf(f242,plain,(
% 0.08/0.17 ($true != ((f0 @ $true))) | (spl0_12 | spl0_19)),
% 0.08/0.17 inference(forward_subsumption_resolution,[],[f236,f188])).
% 0.08/0.17 thf(f256,plain,(
% 0.08/0.17 ($true = ((f0 @ (f1 @ $true)))) | ($false = ((f1 @ $true))) | ~spl0_15),
% 0.08/0.17 inference(constrained_superposition,[],[f92,f6])).
% 0.08/0.17 thf(f263,plain,(
% 0.08/0.17 ($false = ((f1 @ $true))) | (spl0_12 | ~spl0_15)),
% 0.08/0.17 inference(forward_subsumption_resolution,[],[f256,f77])).
% 0.08/0.17 thf(f271,plain,(
% 0.08/0.17 ($false != ((f0 @ $false))) | ($true = $false) | (~spl0_6 | spl0_8)),
% 0.08/0.17 inference(constrained_superposition,[],[f59,f203])).
% 0.08/0.17 thf(f278,plain,(
% 0.08/0.17 ($true != ((f0 @ (f1 @ $true)))) | ($false = ((f1 @ $true))) | spl0_15),
% 0.08/0.17 inference(constrained_superposition,[],[f91,f6])).
% 0.08/0.17 thf(f280,plain,(
% 0.08/0.17 ($true != $true) | ($false = ((f0 @ (f1 @ (f1 @ $true))))) | spl0_15),
% 0.08/0.17 inference(constrained_superposition,[],[f91,f6])).
% 0.08/0.17 thf(f282,plain,(
% 0.08/0.17 ($false = ((f0 @ (f1 @ (f1 @ $true))))) | spl0_15),
% 0.08/0.17 inference(trivial_inequality_removal,[],[f280])).
% 0.08/0.17 thf(f288,plain,(
% 0.08/0.17 ($false = ((f0 @ (f0 @ $true)))) | ($false = ((f1 @ $false))) | (~spl0_5 | ~spl0_16)),
% 0.08/0.17 inference(constrained_superposition,[],[f169,f6])).
% 0.08/0.17 thf(f297,plain,(
% 0.08/0.17 ($false = ((f1 @ $false))) | (~spl0_5 | spl0_8 | ~spl0_16)),
% 0.08/0.17 inference(forward_subsumption_resolution,[],[f288,f59])).
% 0.08/0.17 thf(f300,plain,(
% 0.08/0.17 $false | (~spl0_5 | spl0_8 | spl0_13 | ~spl0_16)),
% 0.08/0.17 inference(forward_subsumption_resolution,[],[f297,f167])).
% 0.08/0.17 thf(f301,plain,(
% 0.08/0.17 ~spl0_5 | spl0_8 | spl0_13 | ~spl0_16),
% 0.08/0.17 inference(avatar_contradiction_clause,[],[f300])).
% 0.08/0.17 thf(f302,plain,(
% 0.08/0.17 ($false = ((f0 @ $false))) | (~spl0_6 | ~spl0_8)),
% 0.08/0.17 inference(forward_demodulation,[],[f60,f51])).
% 0.08/0.17 thf(f314,plain,(
% 0.08/0.17 ($false != ((f0 @ (f0 @ (f1 @ $false))))) | (spl0_5 | ~spl0_16)),
% 0.08/0.17 inference(forward_demodulation,[],[f46,f97])).
% 0.08/0.17 thf(f325,plain,(
% 0.08/0.17 ($false != ((f0 @ $false))) | (~spl0_6 | spl0_8)),
% 0.08/0.17 inference(trivial_inequality_removal,[],[f271])).
% 0.08/0.17 thf(f344,plain,(
% 0.08/0.17 ($true = ((f0 @ (f0 @ $false)))) | (~spl0_4 | ~spl0_7)),
% 0.08/0.17 inference(forward_demodulation,[],[f25,f56])).
% 0.08/0.17 thf(f346,plain,(
% 0.08/0.17 ($false != ((f0 @ $false))) | (spl0_5 | ~spl0_7)),
% 0.08/0.17 inference(forward_demodulation,[],[f46,f56])).
% 0.08/0.17 thf(f348,plain,(
% 0.08/0.17 ($true = ((f0 @ $true))) | ($false = ((f0 @ $false))) | (~spl0_4 | ~spl0_7)),
% 0.08/0.17 inference(constrained_superposition,[],[f344,f6])).
% 0.08/0.17 thf(f357,plain,(
% 0.08/0.17 ($true = ((f0 @ $true))) | (~spl0_4 | ~spl0_6 | ~spl0_7 | spl0_8)),
% 0.08/0.17 inference(forward_subsumption_resolution,[],[f348,f325])).
% 0.08/0.17 thf(f358,plain,(
% 0.08/0.17 ($true = $false) | (~spl0_4 | ~spl0_6 | ~spl0_7 | spl0_8)),
% 0.08/0.17 inference(forward_demodulation,[],[f357,f51])).
% 0.08/0.17 thf(f359,plain,(
% 0.08/0.17 $false | (~spl0_4 | ~spl0_6 | ~spl0_7 | spl0_8)),
% 0.08/0.17 inference(trivial_inequality_removal,[],[f358])).
% 0.08/0.17 thf(f360,plain,(
% 0.08/0.17 ~spl0_4 | ~spl0_6 | ~spl0_7 | spl0_8),
% 0.08/0.17 inference(avatar_contradiction_clause,[],[f359])).
% 0.08/0.17 thf(f364,plain,(
% 0.08/0.17 ($false = ((f0 @ $false))) | (~spl0_5 | ~spl0_7)),
% 0.08/0.17 inference(forward_demodulation,[],[f47,f56])).
% 0.08/0.17 thf(f365,plain,(
% 0.08/0.17 ($false != ((f1 @ $true))) | (x = $false) | spl0_13),
% 0.08/0.17 inference(constrained_superposition,[],[f82,f6])).
% 0.08/0.17 thf(f370,plain,(
% 0.08/0.17 ($false = ((f0 @ $true))) | (((f1 @ (f1 @ (f1 @ x)))) = $false) | ~spl0_1),
% 0.08/0.17 inference(constrained_superposition,[],[f12,f6])).
% 0.08/0.17 thf(f375,plain,(
% 0.08/0.17 ($true = ((f0 @ $false))) | (~spl0_4 | ~spl0_6 | ~spl0_7 | ~spl0_8)),
% 0.08/0.17 inference(constrained_superposition,[],[f344,f302])).
% 0.08/0.17 thf(f377,plain,(
% 0.08/0.17 ($true = $false) | (~spl0_4 | ~spl0_6 | ~spl0_7 | ~spl0_8)),
% 0.08/0.17 inference(forward_demodulation,[],[f375,f302])).
% 0.08/0.17 thf(f378,plain,(
% 0.08/0.17 $false | (~spl0_4 | ~spl0_6 | ~spl0_7 | ~spl0_8)),
% 0.08/0.17 inference(trivial_inequality_removal,[],[f377])).
% 0.08/0.17 thf(f379,plain,(
% 0.08/0.17 ~spl0_4 | ~spl0_6 | ~spl0_7 | ~spl0_8),
% 0.08/0.17 inference(avatar_contradiction_clause,[],[f378])).
% 0.08/0.17 thf(f382,plain,(
% 0.08/0.17 (((f1 @ (f1 @ (f1 @ x)))) = $false) | (~spl0_1 | spl0_6)),
% 0.08/0.17 inference(forward_subsumption_resolution,[],[f370,f50])).
% 0.08/0.17 thf(f390,plain,(
% 0.08/0.17 ($false != ((f0 @ (f1 @ (f1 @ $true))))) | (((f1 @ x)) = $false) | spl0_1),
% 0.08/0.17 inference(constrained_superposition,[],[f11,f6])).
% 0.08/0.17 thf(f391,plain,(
% 0.08/0.17 ($false != ((f0 @ (f1 @ $true)))) | (((f1 @ (f1 @ x))) = $false) | spl0_1),
% 0.08/0.17 inference(constrained_superposition,[],[f11,f6])).
% 0.08/0.17 thf(f394,plain,(
% 0.08/0.17 (((f1 @ (f1 @ x))) = $false) | (spl0_1 | spl0_12)),
% 0.08/0.17 inference(forward_subsumption_resolution,[],[f391,f238])).
% 0.08/0.17 thf(f395,plain,(
% 0.08/0.17 (((f1 @ x)) = $false) | (spl0_1 | spl0_15)),
% 0.08/0.17 inference(forward_subsumption_resolution,[],[f390,f282])).
% 0.08/0.17 thf(f399,plain,(
% 0.08/0.17 $false | (spl0_1 | spl0_13 | spl0_15)),
% 0.08/0.17 inference(forward_subsumption_resolution,[],[f395,f82])).
% 0.08/0.17 thf(f400,plain,(
% 0.08/0.17 spl0_1 | spl0_13 | spl0_15),
% 0.08/0.17 inference(avatar_contradiction_clause,[],[f399])).
% 0.08/0.17 thf(f401,plain,(
% 0.08/0.17 spl0_9 | ~spl0_1 | spl0_6),
% 0.08/0.17 inference(avatar_split_clause,[],[f382,f49,f10,f63])).
% 0.08/0.17 thf(f407,plain,(
% 0.08/0.17 ($false = ((f0 @ (f1 @ $true)))) | (((f1 @ (f1 @ x))) = $false) | ~spl0_1),
% 0.08/0.17 inference(constrained_superposition,[],[f12,f6])).
% 0.08/0.17 thf(f412,plain,(
% 0.08/0.17 ($true != $true) | ($false = ((f0 @ $true))) | spl0_10),
% 0.08/0.17 inference(constrained_superposition,[],[f68,f6])).
% 0.08/0.17 thf(f413,plain,(
% 0.08/0.17 ($false = ((f0 @ $true))) | spl0_10),
% 0.08/0.17 inference(trivial_inequality_removal,[],[f412])).
% 0.08/0.17 thf(f417,plain,(
% 0.08/0.17 $false | (spl0_6 | spl0_10)),
% 0.08/0.17 inference(forward_subsumption_resolution,[],[f413,f50])).
% 0.08/0.17 thf(f418,plain,(
% 0.08/0.17 spl0_6 | spl0_10),
% 0.08/0.17 inference(avatar_contradiction_clause,[],[f417])).
% 0.08/0.17 thf(f420,plain,(
% 0.08/0.17 $false | (~spl0_10 | spl0_12 | spl0_19)),
% 0.08/0.17 inference(forward_subsumption_resolution,[],[f242,f69])).
% 0.08/0.17 thf(f421,plain,(
% 0.08/0.17 ~spl0_10 | spl0_12 | spl0_19),
% 0.08/0.17 inference(avatar_contradiction_clause,[],[f420])).
% 0.08/0.17 thf(f423,plain,(
% 0.08/0.17 (x = $false) | (spl0_13 | ~spl0_19)),
% 0.08/0.17 inference(forward_subsumption_resolution,[],[f365,f189])).
% 0.08/0.17 thf(f426,plain,(
% 0.08/0.17 ($false = ((f1 @ $true))) | (~spl0_12 | spl0_15)),
% 0.08/0.17 inference(forward_subsumption_resolution,[],[f278,f78])).
% 0.08/0.17 thf(f427,plain,(
% 0.08/0.17 ($false = ((f0 @ (f0 @ $true)))) | (~spl0_12 | ~spl0_17)),
% 0.08/0.17 inference(forward_demodulation,[],[f101,f78])).
% 0.08/0.17 thf(f428,plain,(
% 0.08/0.17 ($false = ((f0 @ (f1 @ $true)))) | (~spl0_1 | spl0_11)),
% 0.08/0.17 inference(forward_subsumption_resolution,[],[f407,f73])).
% 0.08/0.17 thf(f429,plain,(
% 0.08/0.17 $false | (~spl0_12 | spl0_15 | spl0_19)),
% 0.08/0.17 inference(forward_subsumption_resolution,[],[f426,f188])).
% 0.08/0.17 thf(f430,plain,(
% 0.08/0.17 ~spl0_12 | spl0_15 | spl0_19),
% 0.08/0.17 inference(avatar_contradiction_clause,[],[f429])).
% 0.08/0.17 thf(f431,plain,(
% 0.08/0.17 $false | (spl0_8 | ~spl0_12 | ~spl0_17)),
% 0.08/0.17 inference(forward_subsumption_resolution,[],[f427,f59])).
% 0.08/0.17 thf(f432,plain,(
% 0.08/0.17 spl0_8 | ~spl0_12 | ~spl0_17),
% 0.08/0.17 inference(avatar_contradiction_clause,[],[f431])).
% 0.08/0.17 thf(f439,plain,(
% 0.08/0.17 ($true != ((f0 @ (f1 @ (f1 @ $true))))) | (((f1 @ x)) = $false) | spl0_3),
% 0.08/0.17 inference(constrained_superposition,[],[f20,f6])).
% 0.08/0.17 thf(f440,plain,(
% 0.08/0.17 ($true != ((f0 @ (f1 @ $true)))) | (((f1 @ (f1 @ x))) = $false) | spl0_3),
% 0.08/0.17 inference(constrained_superposition,[],[f20,f6])).
% 0.08/0.17 thf(f442,plain,(
% 0.08/0.17 ($true != $true) | (((f0 @ (f1 @ (f1 @ (f1 @ x))))) = $false) | spl0_3),
% 0.08/0.17 inference(constrained_superposition,[],[f20,f6])).
% 0.08/0.17 thf(f444,plain,(
% 0.08/0.17 (((f0 @ (f1 @ (f1 @ (f1 @ x))))) = $false) | spl0_3),
% 0.08/0.17 inference(trivial_inequality_removal,[],[f442])).
% 0.08/0.17 thf(f445,plain,(
% 0.08/0.17 (((f1 @ (f1 @ x))) = $false) | (spl0_3 | ~spl0_12)),
% 0.08/0.17 inference(forward_subsumption_resolution,[],[f440,f78])).
% 0.08/0.17 thf(f446,plain,(
% 0.08/0.17 (((f1 @ x)) = $false) | (spl0_3 | ~spl0_15)),
% 0.08/0.17 inference(forward_subsumption_resolution,[],[f439,f92])).
% 0.08/0.17 thf(f448,plain,(
% 0.08/0.17 $false | (spl0_3 | spl0_11 | ~spl0_12)),
% 0.08/0.17 inference(forward_subsumption_resolution,[],[f445,f73])).
% 0.08/0.17 thf(f449,plain,(
% 0.08/0.17 spl0_3 | spl0_11 | ~spl0_12),
% 0.08/0.17 inference(avatar_contradiction_clause,[],[f448])).
% 0.08/0.17 thf(f450,plain,(
% 0.08/0.17 $false | (spl0_3 | spl0_13 | ~spl0_15)),
% 0.08/0.17 inference(forward_subsumption_resolution,[],[f446,f82])).
% 0.08/0.17 thf(f451,plain,(
% 0.08/0.17 spl0_3 | spl0_13 | ~spl0_15),
% 0.08/0.17 inference(avatar_contradiction_clause,[],[f450])).
% 0.08/0.17 thf(f455,plain,(
% 0.08/0.17 ($false != ((f0 @ $false))) | (spl0_1 | ~spl0_9)),
% 0.08/0.17 inference(forward_demodulation,[],[f11,f65])).
% 0.08/0.17 thf(f458,plain,(
% 0.08/0.17 spl0_11 | spl0_1 | spl0_12),
% 0.08/0.17 inference(avatar_split_clause,[],[f394,f76,f10,f72])).
% 0.08/0.17 thf(f465,plain,(
% 0.08/0.17 spl0_19 | spl0_12 | ~spl0_15),
% 0.08/0.17 inference(avatar_split_clause,[],[f263,f90,f76,f187])).
% 0.08/0.17 thf(f469,plain,(
% 0.08/0.17 $false | (spl0_1 | ~spl0_5 | ~spl0_7 | ~spl0_9)),
% 0.08/0.17 inference(forward_subsumption_resolution,[],[f455,f364])).
% 0.08/0.17 thf(f470,plain,(
% 0.08/0.17 spl0_1 | ~spl0_5 | ~spl0_7 | ~spl0_9),
% 0.08/0.17 inference(avatar_contradiction_clause,[],[f469])).
% 0.08/0.17 thf(f485,plain,(
% 0.08/0.17 ($false = ((f0 @ $false))) | (spl0_3 | ~spl0_9)),
% 0.08/0.17 inference(forward_demodulation,[],[f444,f65])).
% 0.08/0.17 thf(f523,plain,(
% 0.08/0.17 $false | (spl0_3 | spl0_5 | ~spl0_7 | ~spl0_9)),
% 0.08/0.17 inference(forward_subsumption_resolution,[],[f485,f346])).
% 0.08/0.17 thf(f524,plain,(
% 0.08/0.17 spl0_3 | spl0_5 | ~spl0_7 | ~spl0_9),
% 0.08/0.17 inference(avatar_contradiction_clause,[],[f523])).
% 0.08/0.17 thf(f538,plain,(
% 0.08/0.17 spl0_16 | spl0_13 | ~spl0_19),
% 0.08/0.17 inference(avatar_split_clause,[],[f423,f187,f81,f95])).
% 0.08/0.17 thf(f539,plain,(
% 0.08/0.17 ($false != ((f0 @ $true))) | (~spl0_3 | spl0_5 | ~spl0_11 | ~spl0_16)),
% 0.08/0.17 inference(forward_demodulation,[],[f314,f145])).
% 0.08/0.17 thf(f546,plain,(
% 0.08/0.17 $false | (~spl0_3 | spl0_5 | ~spl0_6 | ~spl0_11 | ~spl0_16)),
% 0.08/0.17 inference(forward_subsumption_resolution,[],[f539,f51])).
% 0.08/0.17 thf(f547,plain,(
% 0.08/0.17 ~spl0_3 | spl0_5 | ~spl0_6 | ~spl0_11 | ~spl0_16),
% 0.08/0.17 inference(avatar_contradiction_clause,[],[f546])).
% 0.08/0.17 thf(f549,plain,(
% 0.08/0.17 ($false = ((f0 @ (f1 @ $false)))) | (~spl0_1 | ~spl0_11)),
% 0.08/0.17 inference(forward_demodulation,[],[f12,f74])).
% 0.08/0.17 thf(f557,plain,(
% 0.08/0.17 ($false != ((f0 @ (f1 @ $false)))) | (spl0_7 | ~spl0_16)),
% 0.08/0.17 inference(forward_demodulation,[],[f55,f97])).
% 0.08/0.17 thf(f558,plain,(
% 0.08/0.17 ($false != ((f1 @ $false))) | (spl0_9 | ~spl0_11)),
% 0.08/0.17 inference(forward_demodulation,[],[f64,f74])).
% 0.08/0.17 thf(f566,plain,(
% 0.08/0.17 $false | (~spl0_1 | spl0_7 | ~spl0_11 | ~spl0_16)),
% 0.08/0.17 inference(forward_subsumption_resolution,[],[f557,f549])).
% 0.08/0.17 thf(f567,plain,(
% 0.08/0.17 ~spl0_1 | spl0_7 | ~spl0_11 | ~spl0_16),
% 0.08/0.17 inference(avatar_contradiction_clause,[],[f566])).
% 0.08/0.17 thf(f611,plain,(
% 0.08/0.17 ($false != ((f0 @ (f0 @ (f0 @ (f1 @ $true)))))) | (x = $false) | spl0_2),
% 0.08/0.17 inference(constrained_superposition,[],[f15,f6])).
% 0.08/0.17 thf(f618,plain,(
% 0.08/0.17 ($false != ((f0 @ (f0 @ (f0 @ (f1 @ $true)))))) | (spl0_2 | spl0_16)),
% 0.08/0.17 inference(forward_subsumption_resolution,[],[f611,f96])).
% 0.08/0.17 thf(f625,plain,(
% 0.08/0.17 ($true = ((f0 @ (f0 @ (f0 @ (f1 @ $true)))))) | (x = $false) | ~spl0_4),
% 0.08/0.17 inference(constrained_superposition,[],[f25,f6])).
% 0.08/0.17 thf(f626,plain,(
% 0.08/0.17 ($true = ((f0 @ (f0 @ (f0 @ $true))))) | (((f1 @ x)) = $false) | ~spl0_4),
% 0.08/0.17 inference(constrained_superposition,[],[f25,f6])).
% 0.08/0.17 thf(f627,plain,(
% 0.08/0.17 ($true = ((f0 @ (f0 @ $true)))) | (((f0 @ (f1 @ x))) = $false) | ~spl0_4),
% 0.08/0.17 inference(constrained_superposition,[],[f25,f6])).
% 0.08/0.17 thf(f630,plain,(
% 0.08/0.17 ($true = ((f0 @ (f0 @ $true)))) | (~spl0_4 | spl0_7)),
% 0.08/0.17 inference(forward_subsumption_resolution,[],[f627,f55])).
% 0.08/0.17 thf(f631,plain,(
% 0.08/0.17 ($true = ((f0 @ (f0 @ (f0 @ $true))))) | (~spl0_4 | spl0_13)),
% 0.08/0.17 inference(forward_subsumption_resolution,[],[f626,f82])).
% 0.08/0.17 thf(f632,plain,(
% 0.08/0.17 ($true = ((f0 @ (f0 @ (f0 @ (f1 @ $true)))))) | (~spl0_4 | spl0_16)),
% 0.08/0.17 inference(forward_subsumption_resolution,[],[f625,f96])).
% 0.08/0.17 thf(f633,plain,(
% 0.08/0.17 ($true = ((f0 @ $false))) | (~spl0_4 | ~spl0_6 | spl0_7)),
% 0.08/0.17 inference(forward_demodulation,[],[f630,f51])).
% 0.08/0.17 thf(f634,plain,(
% 0.08/0.17 ($true = ((f0 @ (f0 @ $false)))) | (~spl0_4 | ~spl0_6 | spl0_13)),
% 0.08/0.17 inference(forward_demodulation,[],[f631,f51])).
% 0.08/0.17 thf(f635,plain,(
% 0.08/0.17 ($true = ((f0 @ (f0 @ $false)))) | (~spl0_1 | ~spl0_4 | spl0_11 | spl0_16)),
% 0.08/0.17 inference(forward_demodulation,[],[f632,f428])).
% 0.08/0.17 thf(f636,plain,(
% 0.08/0.17 ($true = ((f0 @ $true))) | (~spl0_4 | ~spl0_6 | spl0_7 | spl0_13)),
% 0.08/0.17 inference(forward_demodulation,[],[f634,f633])).
% 0.08/0.17 thf(f637,plain,(
% 0.08/0.17 ($true = ((f0 @ $true))) | (~spl0_1 | ~spl0_4 | ~spl0_6 | spl0_7 | spl0_11 | spl0_16)),
% 0.08/0.17 inference(forward_demodulation,[],[f635,f633])).
% 0.08/0.17 thf(f638,plain,(
% 0.08/0.17 ($true = $false) | (~spl0_4 | ~spl0_6 | spl0_7 | spl0_13)),
% 0.08/0.17 inference(forward_demodulation,[],[f636,f51])).
% 0.08/0.17 thf(f639,plain,(
% 0.08/0.17 $false | (~spl0_4 | ~spl0_6 | spl0_7 | spl0_13)),
% 0.08/0.17 inference(trivial_inequality_removal,[],[f638])).
% 0.08/0.17 thf(f640,plain,(
% 0.08/0.17 ~spl0_4 | ~spl0_6 | spl0_7 | spl0_13),
% 0.08/0.17 inference(avatar_contradiction_clause,[],[f639])).
% 0.08/0.17 thf(f641,plain,(
% 0.08/0.17 ($true = $false) | (~spl0_1 | ~spl0_4 | ~spl0_6 | spl0_7 | spl0_11 | spl0_16)),
% 0.08/0.17 inference(forward_demodulation,[],[f637,f51])).
% 0.08/0.17 thf(f642,plain,(
% 0.08/0.17 $false | (~spl0_1 | ~spl0_4 | ~spl0_6 | spl0_7 | spl0_11 | spl0_16)),
% 0.08/0.17 inference(trivial_inequality_removal,[],[f641])).
% 0.08/0.17 thf(f643,plain,(
% 0.08/0.17 ~spl0_1 | ~spl0_4 | ~spl0_6 | spl0_7 | spl0_11 | spl0_16),
% 0.08/0.17 inference(avatar_contradiction_clause,[],[f642])).
% 0.08/0.17 thf(f658,plain,(
% 0.08/0.17 $false | (spl0_9 | ~spl0_11 | ~spl0_13)),
% 0.08/0.17 inference(forward_subsumption_resolution,[],[f558,f143])).
% 0.08/0.17 thf(f659,plain,(
% 0.08/0.17 spl0_9 | ~spl0_11 | ~spl0_13),
% 0.08/0.17 inference(avatar_contradiction_clause,[],[f658])).
% 0.08/0.17 thf(f672,plain,(
% 0.08/0.17 ($false != ((f0 @ (f0 @ (f0 @ $false))))) | (spl0_2 | spl0_16 | ~spl0_19)),
% 0.08/0.17 inference(forward_demodulation,[],[f618,f189])).
% 0.08/0.17 thf(f673,plain,(
% 0.08/0.17 ($true != ((f0 @ (f1 @ $false)))) | (spl0_3 | ~spl0_11)),
% 0.08/0.17 inference(forward_demodulation,[],[f20,f74])).
% 0.08/0.17 thf(f681,plain,(
% 0.08/0.17 ($true = ((f0 @ $false))) | (~spl0_4 | ~spl0_5)),
% 0.08/0.17 inference(forward_demodulation,[],[f25,f47])).
% 0.08/0.17 thf(f684,plain,(
% 0.08/0.17 ($false != ((f0 @ $false))) | (spl0_7 | ~spl0_13)),
% 0.08/0.17 inference(forward_demodulation,[],[f55,f83])).
% 0.08/0.17 thf(f699,plain,(
% 0.08/0.17 ($false != ((f0 @ (f0 @ $false)))) | (~spl0_1 | spl0_2 | ~spl0_9 | spl0_16 | ~spl0_19)),
% 0.08/0.17 inference(forward_demodulation,[],[f672,f223])).
% 0.08/0.17 thf(f700,plain,(
% 0.08/0.17 ($true != ((f0 @ $false))) | (spl0_3 | ~spl0_11 | ~spl0_13)),
% 0.08/0.17 inference(forward_demodulation,[],[f673,f143])).
% 0.08/0.17 thf(f705,plain,(
% 0.08/0.17 ($true = $false) | (~spl0_1 | ~spl0_4 | ~spl0_5 | ~spl0_9)),
% 0.08/0.17 inference(forward_demodulation,[],[f681,f223])).
% 0.08/0.17 thf(f706,plain,(
% 0.08/0.17 $false | (~spl0_1 | ~spl0_4 | ~spl0_5 | ~spl0_9)),
% 0.08/0.17 inference(trivial_inequality_removal,[],[f705])).
% 0.08/0.17 thf(f707,plain,(
% 0.08/0.17 ~spl0_1 | ~spl0_4 | ~spl0_5 | ~spl0_9),
% 0.08/0.17 inference(avatar_contradiction_clause,[],[f706])).
% 0.08/0.17 thf(f709,plain,(
% 0.08/0.17 $false | (~spl0_1 | spl0_7 | ~spl0_9 | ~spl0_13)),
% 0.08/0.17 inference(forward_subsumption_resolution,[],[f684,f223])).
% 0.08/0.17 thf(f710,plain,(
% 0.08/0.17 ~spl0_1 | spl0_7 | ~spl0_9 | ~spl0_13),
% 0.08/0.17 inference(avatar_contradiction_clause,[],[f709])).
% 0.08/0.17 thf(f716,plain,(
% 0.08/0.17 ($false != ((f0 @ $false))) | (~spl0_1 | spl0_2 | ~spl0_9 | spl0_16 | ~spl0_19)),
% 0.08/0.17 inference(forward_demodulation,[],[f699,f223])).
% 0.08/0.17 thf(f726,plain,(
% 0.08/0.17 $false | (~spl0_1 | spl0_2 | ~spl0_9 | spl0_16 | ~spl0_19)),
% 0.08/0.17 inference(forward_subsumption_resolution,[],[f716,f223])).
% 0.08/0.17 thf(f727,plain,(
% 0.08/0.17 ~spl0_1 | spl0_2 | ~spl0_9 | spl0_16 | ~spl0_19),
% 0.08/0.17 inference(avatar_contradiction_clause,[],[f726])).
% 0.08/0.17 thf(f739,plain,(
% 0.08/0.17 ($false = ((f0 @ $false))) | (~spl0_2 | ~spl0_5)),
% 0.08/0.17 inference(forward_demodulation,[],[f16,f47])).
% 0.08/0.17 thf(f740,plain,(
% 0.08/0.17 ($false = ((f0 @ (f0 @ $true)))) | (spl0_1 | ~spl0_2 | ~spl0_9 | ~spl0_13)),
% 0.08/0.17 inference(forward_subsumption_resolution,[],[f133,f219])).
% 0.08/0.17 thf(f748,plain,(
% 0.08/0.17 ($false = ((f0 @ $false))) | (~spl0_6 | ~spl0_8)),
% 0.08/0.17 inference(forward_demodulation,[],[f60,f51])).
% 0.08/0.17 thf(f754,plain,(
% 0.08/0.17 $false | (spl0_1 | spl0_3 | ~spl0_9)),
% 0.08/0.17 inference(forward_subsumption_resolution,[],[f485,f219])).
% 0.08/0.17 thf(f755,plain,(
% 0.08/0.17 spl0_1 | spl0_3 | ~spl0_9),
% 0.08/0.17 inference(avatar_contradiction_clause,[],[f754])).
% 0.08/0.17 thf(f768,plain,(
% 0.08/0.17 $false | (spl0_3 | ~spl0_4 | ~spl0_6 | spl0_7 | ~spl0_11 | ~spl0_13)),
% 0.08/0.17 inference(forward_subsumption_resolution,[],[f700,f633])).
% 0.08/0.17 thf(f769,plain,(
% 0.08/0.17 spl0_3 | ~spl0_4 | ~spl0_6 | spl0_7 | ~spl0_11 | ~spl0_13),
% 0.08/0.17 inference(avatar_contradiction_clause,[],[f768])).
% 0.08/0.17 thf(f782,plain,(
% 0.08/0.17 $false | (spl0_1 | ~spl0_2 | ~spl0_5 | ~spl0_9)),
% 0.08/0.17 inference(forward_subsumption_resolution,[],[f739,f219])).
% 0.08/0.17 thf(f783,plain,(
% 0.08/0.17 spl0_1 | ~spl0_2 | ~spl0_5 | ~spl0_9),
% 0.08/0.17 inference(avatar_contradiction_clause,[],[f782])).
% 0.08/0.17 thf(f784,plain,(
% 0.08/0.17 ($false = ((f0 @ $false))) | (spl0_1 | ~spl0_2 | ~spl0_6 | ~spl0_9 | ~spl0_13)),
% 0.08/0.17 inference(forward_demodulation,[],[f740,f51])).
% 0.08/0.17 thf(f785,plain,(
% 0.08/0.17 $false | (spl0_1 | ~spl0_6 | ~spl0_8 | ~spl0_9)),
% 0.08/0.17 inference(forward_subsumption_resolution,[],[f748,f219])).
% 0.08/0.17 thf(f786,plain,(
% 0.08/0.17 spl0_1 | ~spl0_6 | ~spl0_8 | ~spl0_9),
% 0.08/0.17 inference(avatar_contradiction_clause,[],[f785])).
% 0.08/0.17 thf(f788,plain,(
% 0.08/0.17 $false | (spl0_1 | ~spl0_2 | ~spl0_6 | ~spl0_9 | ~spl0_13)),
% 0.08/0.17 inference(forward_subsumption_resolution,[],[f784,f219])).
% 0.08/0.17 thf(f789,plain,(
% 0.08/0.17 spl0_1 | ~spl0_2 | ~spl0_6 | ~spl0_9 | ~spl0_13),
% 0.08/0.17 inference(avatar_contradiction_clause,[],[f788])).
% 0.08/0.17 cnf(s1, plain, spl0_1 | spl0_2, inference(sat_conversion,[],[f17])).
% 0.08/0.17 cnf(s2, plain, spl0_3 | spl0_4, inference(sat_conversion,[],[f26])).
% 0.08/0.17 cnf(s3, plain, ~spl0_2 | spl0_5 | spl0_6, inference(sat_conversion,[],[f52])).
% 0.08/0.17 cnf(s4, plain, ~spl0_2 | spl0_7 | spl0_8, inference(sat_conversion,[],[f61])).
% 0.08/0.17 cnf(s5, plain, ~spl0_3 | spl0_9 | spl0_10, inference(sat_conversion,[],[f70])).
% 0.08/0.17 cnf(s9, plain, ~spl0_2 | spl0_16 | spl0_17, inference(sat_conversion,[],[f102])).
% 0.08/0.17 cnf(s12, plain, ~spl0_1 | ~spl0_3, inference(sat_conversion,[],[f122])).
% 0.08/0.17 cnf(s14, plain, spl0_6 | ~spl0_8, inference(sat_conversion,[],[f161])).
% 0.08/0.17 cnf(s15, plain, spl0_11 | ~spl0_13 | ~spl0_16, inference(sat_conversion,[],[f166])).
% 0.08/0.17 cnf(s16, plain, spl0_10 | ~spl0_12 | spl0_19, inference(sat_conversion,[],[f190])).
% 0.08/0.17 cnf(s18, plain, spl0_6 | ~spl0_7 | spl0_13 | ~spl0_16, inference(sat_conversion,[],[f202])).
% 0.08/0.17 cnf(s19, plain, spl0_11 | spl0_13 | ~spl0_16 | ~spl0_19, inference(sat_conversion,[],[f212])).
% 0.08/0.17 cnf(s20, plain, ~spl0_6 | ~spl0_10, inference(sat_conversion,[],[f215])).
% 0.08/0.17 cnf(s21, plain, ~spl0_2 | ~spl0_4 | ~spl0_16, inference(sat_conversion,[],[f222])).
% 0.08/0.17 cnf(s27, plain, ~spl0_5 | spl0_8 | spl0_13 | ~spl0_16, inference(sat_conversion,[],[f301])).
% 0.08/0.17 cnf(s38, plain, ~spl0_4 | ~spl0_6 | ~spl0_7 | spl0_8, inference(sat_conversion,[],[f360])).
% 0.08/0.17 cnf(s40, plain, ~spl0_4 | ~spl0_6 | ~spl0_7 | ~spl0_8, inference(sat_conversion,[],[f379])).
% 0.08/0.17 cnf(s43, plain, spl0_1 | spl0_13 | spl0_15, inference(sat_conversion,[],[f400])).
% 0.08/0.17 cnf(s44, plain, ~spl0_1 | spl0_6 | spl0_9, inference(sat_conversion,[],[f401])).
% 0.08/0.17 cnf(s45, plain, spl0_6 | spl0_10, inference(sat_conversion,[],[f418])).
% 0.08/0.17 cnf(s46, plain, ~spl0_10 | spl0_12 | spl0_19, inference(sat_conversion,[],[f421])).
% 0.08/0.17 cnf(s48, plain, ~spl0_12 | spl0_15 | spl0_19, inference(sat_conversion,[],[f430])).
% 0.08/0.17 cnf(s49, plain, spl0_8 | ~spl0_12 | ~spl0_17, inference(sat_conversion,[],[f432])).
% 0.08/0.17 cnf(s50, plain, spl0_3 | spl0_11 | ~spl0_12, inference(sat_conversion,[],[f449])).
% 0.08/0.17 cnf(s51, plain, spl0_3 | spl0_13 | ~spl0_15, inference(sat_conversion,[],[f451])).
% 0.08/0.17 cnf(s53, plain, spl0_1 | spl0_11 | spl0_12, inference(sat_conversion,[],[f458])).
% 0.08/0.17 cnf(s54, plain, spl0_12 | ~spl0_15 | spl0_19, inference(sat_conversion,[],[f465])).
% 0.08/0.17 cnf(s55, plain, spl0_1 | ~spl0_5 | ~spl0_7 | ~spl0_9, inference(sat_conversion,[],[f470])).
% 0.08/0.17 cnf(s64, plain, spl0_3 | spl0_5 | ~spl0_7 | ~spl0_9, inference(sat_conversion,[],[f524])).
% 0.08/0.17 cnf(s66, plain, spl0_13 | spl0_16 | ~spl0_19, inference(sat_conversion,[],[f538])).
% 0.08/0.17 cnf(s69, plain, ~spl0_3 | spl0_5 | ~spl0_6 | ~spl0_11 | ~spl0_16, inference(sat_conversion,[],[f547])).
% 0.08/0.17 cnf(s70, plain, ~spl0_1 | spl0_7 | ~spl0_11 | ~spl0_16, inference(sat_conversion,[],[f567])).
% 0.08/0.17 cnf(s75, plain, ~spl0_4 | ~spl0_6 | spl0_7 | spl0_13, inference(sat_conversion,[],[f640])).
% 0.08/0.17 cnf(s76, plain, ~spl0_1 | ~spl0_4 | ~spl0_6 | spl0_7 | spl0_11 | spl0_16, inference(sat_conversion,[],[f643])).
% 0.08/0.17 cnf(s84, plain, spl0_9 | ~spl0_11 | ~spl0_13, inference(sat_conversion,[],[f659])).
% 0.08/0.17 cnf(s87, plain, ~spl0_1 | ~spl0_4 | ~spl0_5 | ~spl0_9, inference(sat_conversion,[],[f707])).
% 0.08/0.17 cnf(s88, plain, ~spl0_1 | spl0_7 | ~spl0_9 | ~spl0_13, inference(sat_conversion,[],[f710])).
% 0.08/0.17 cnf(s90, plain, ~spl0_1 | spl0_2 | ~spl0_9 | spl0_16 | ~spl0_19, inference(sat_conversion,[],[f727])).
% 0.08/0.17 cnf(s98, plain, spl0_1 | spl0_3 | ~spl0_9, inference(sat_conversion,[],[f755])).
% 0.08/0.17 cnf(s104, plain, spl0_3 | ~spl0_4 | ~spl0_6 | spl0_7 | ~spl0_11 | ~spl0_13, inference(sat_conversion,[],[f769])).
% 0.08/0.17 cnf(s110, plain, spl0_1 | ~spl0_2 | ~spl0_5 | ~spl0_9, inference(sat_conversion,[],[f783])).
% 0.08/0.17 cnf(s111, plain, spl0_1 | ~spl0_6 | ~spl0_8 | ~spl0_9, inference(sat_conversion,[],[f786])).
% 0.08/0.17 cnf(s112, plain, spl0_1 | ~spl0_2 | ~spl0_6 | ~spl0_9 | ~spl0_13, inference(sat_conversion,[],[f789])).
% 0.08/0.17 cnf(s113, plain, spl0_11 | spl0_3 | spl0_1, inference(rat,[],[s50,s53])).
% 0.08/0.17 cnf(s114, plain, spl0_3 | spl0_1, inference(rat,[],[s43,s51,s84,s113,s98])).
% 0.08/0.17 cnf(s115, plain, ~spl0_8 | spl0_1, inference(rat,[],[s5,s111,s20,s14,s114])).
% 0.08/0.17 cnf(s116, plain, spl0_11 | spl0_1, inference(rat,[],[s16,s20,s19,s18,s15,s9,s49,s53,s4,s115,s1])).
% 0.08/0.17 cnf(s117, plain, ~spl0_6 | spl0_1, inference(rat,[],[s54,s49,s66,s9,s69,s43,s110,s112,s5,s20,s1,s114,s115,s116])).
% 0.08/0.17 cnf(s118, plain, spl0_1, inference(rat,[],[s46,s49,s66,s9,s27,s84,s55,s3,s45,s117,s116,s4,s115,s1])).
% 0.08/0.17 cnf(s119, plain, ~spl0_3, inference(rat,[],[s12,s118])).
% 0.08/0.17 cnf(s120, plain, spl0_4, inference(rat,[],[s2,s119])).
% 0.08/0.17 cnf(s121, plain, ~spl0_7 | ~spl0_6, inference(rat,[],[s38,s40,s120])).
% 0.08/0.17 cnf(s122, plain, ~spl0_6 | spl0_16 | spl0_11, inference(rat,[],[s121,s76,s120,s118])).
% 0.08/0.17 cnf(s123, plain, ~spl0_2 | spl0_11, inference(rat,[],[s87,s3,s44,s122,s21,s118,s120])).
% 0.08/0.17 cnf(s124, plain, ~spl0_6 | spl0_11, inference(rat,[],[s75,s15,s121,s122,s120])).
% 0.08/0.17 cnf(s125, plain, spl0_11, inference(rat,[],[s19,s15,s90,s46,s44,s45,s124,s123,s50,s118,s119])).
% 0.08/0.17 cnf(s126, plain, spl0_7 | ~spl0_6, inference(rat,[],[s104,s75,s125,s120,s119])).
% 0.08/0.17 cnf(s127, plain, ~spl0_6, inference(rat,[],[s126,s121])).
% 0.08/0.17 cnf(s128, plain, spl0_10, inference(rat,[],[s45,s127])).
% 0.08/0.17 cnf(s129, plain, spl0_9, inference(rat,[],[s44,s118,s127])).
% 0.08/0.17 cnf(s131, plain, ~spl0_5, inference(rat,[],[s87,s120,s118,s129])).
% 0.08/0.17 cnf(s132, plain, ~spl0_7, inference(rat,[],[s64,s129,s119,s131])).
% 0.08/0.17 cnf(s133, plain, ~spl0_2, inference(rat,[],[s3,s127,s131])).
% 0.08/0.17 cnf(s134, plain, ~spl0_16, inference(rat,[],[s70,s125,s118,s132])).
% 0.08/0.17 cnf(s135, plain, ~spl0_13, inference(rat,[],[s88,s129,s118,s132])).
% 0.08/0.17 cnf(s137, plain, ~spl0_19, inference(rat,[],[s90,s133,s118,s129,s134])).
% 0.08/0.17 cnf(s138, plain, ~spl0_15, inference(rat,[],[s51,s119,s135])).
% 0.08/0.17 cnf(s139, plain, spl0_12, inference(rat,[],[s46,s128,s137])).
% 0.08/0.17 cnf(s140, plain, $false, inference(rat,[],[s48,s139,s138,s137])).
% 0.08/0.17 thf(f790,plain,(
% 0.08/0.17 $false),
% 0.08/0.17 inference(avatar_sat_refutation,[],[s140])).
% 0.08/0.17 % SZS output end Proof for theBenchmark
% 0.08/0.17 % (406093)------------------------------
% 0.08/0.17 % (406093)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.17 % (406093)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.17 % (406093)CaDiCaL version: 2.1.3
% 0.08/0.17 % (406093)Termination reason: Refutation
% 0.08/0.17 % (406093)Time elapsed: 0.011 s
% 0.08/0.17 % (406093)Peak memory usage: 12 MB
% 0.08/0.17 % (406093)Instructions burned: 38 (million)
% 0.08/0.17 % (406080)Success in time 0.038 s
% 0.08/0.17 % Vampire exiting
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