%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYO500^1.003 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n006.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 0.21s 0.33s
% Output : Refutation 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO500^1.003 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.20 % Computer : n006.cluster.edu
% 0.10/0.20 % Model : x86_64 x86_64
% 0.10/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.20 % Memory : 8046.5625MB
% 0.10/0.20 % OS : Linux 6.8.0-71-generic
% 0.10/0.20 % CPULimit : 300
% 0.10/0.20 % WCLimit : 300
% 0.10/0.20 % DateTime : Tue Sep 29 17:10:40 UTC 2026
% 0.10/0.20 % CPUTime :
% 0.10/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.23 Running first-order model finding
% 0.10/0.24 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
% 0.21/0.33 % (1036588)Will run a generic schedule for satisfiability detection.
% 0.21/0.33 % (1036593)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3354808940_2999 on theBenchmark for (2999ds/0Mi)
% 0.21/0.33 % Exception at run slice level
% 0.21/0.33 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 0.21/0.33 % (1036594)% WARNING: option uhcvi not known.
% 0.21/0.33 % (1036594)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2420411864:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.21/0.33 % (1036594)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.21/0.33 % (1036595)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2776584701:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.21/0.33 % (1036594)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 0.21/0.33 % (1036601)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=16971009:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.21/0.33 % Exception at run slice level
% 0.21/0.33 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 0.21/0.33 % (1036598)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3172056984:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.21/0.33 % (1036597)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1334413856:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.21/0.33 % (1036597)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.21/0.33 % (1036596)dis+10_1_sil=32000:sp=arity:random_seed=218892834:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.21/0.33 % (1036599)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3644893998:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.21/0.33 % (1036605)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1508006089:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 0.21/0.33 % (1036598) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1036588-1036598"...
% 0.21/0.33 % (1036598)...printing done.
% 0.21/0.33 % (1036597) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1036588-1036597"...
% 0.21/0.33 % (1036598)Refutation found. Thanks to Tanya!
% 0.21/0.33 % SZS status Theorem for theBenchmark
% 0.21/0.33 % SZS output start Proof for theBenchmark
% 0.21/0.33 thf(type_def_5, type, sTfun: ($tType * $tType) > $tType).
% 0.21/0.33 thf(func_def_0, type, x: $o).
% 0.21/0.33 thf(func_def_1, type, f0: ($o > $o)).
% 0.21/0.33 thf(func_def_2, type, f1: ($o > $o)).
% 0.21/0.33 thf(func_def_3, type, f2: ($o > $o)).
% 0.21/0.33 thf(f1,conjecture,(
% 0.21/0.33 (((f0 @ (f1 @ (f1 @ (f1 @ (f2 @ x)))))) = ((f0 @ (f0 @ (f0 @ (f1 @ (f2 @ (f2 @ (f2 @ x)))))))))),
% 0.21/0.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p',kaminski3)).
% 0.21/0.33 thf(f2,negated_conjecture,(
% 0.21/0.33 ~ (((f0 @ (f1 @ (f1 @ (f1 @ (f2 @ x)))))) = ((f0 @ (f0 @ (f0 @ (f1 @ (f2 @ (f2 @ (f2 @ x)))))))))),
% 0.21/0.33 inference(negated_conjecture,[status(cth)],[f1])).
% 0.21/0.33 thf(f3,plain,(
% 0.21/0.33 (((f0 @ (f1 @ (f1 @ (f1 @ (f2 @ x)))))) != ((f0 @ (f0 @ (f0 @ (f1 @ (f2 @ (f2 @ (f2 @ x)))))))))),
% 0.21/0.33 inference(flattening,[],[f2])).
% 0.21/0.33 thf(f4,plain,(
% 0.21/0.33 (((f0 @ (f1 @ (f1 @ (f1 @ (f2 @ x)))))) != ((f0 @ (f0 @ (f0 @ (f1 @ (f2 @ (f2 @ (f2 @ x)))))))))),
% 0.21/0.33 inference(cnf_transformation,[],[f3])).
% 0.21/0.33 thf(f6,definition,(
% 0.21/0.33 ( ! [X0 : $o] : (($true = X0) | ($false = X0)) )),
% 0.21/0.33 introduced(theory,[fool_exhaustiveness_axiom])).
% 0.21/0.33 thf(f7,plain,(
% 0.21/0.33 (((f0 @ (f1 @ (f1 @ (f1 @ (f2 @ x)))))) = $true) | (((f0 @ (f0 @ (f0 @ (f1 @ (f2 @ (f2 @ (f2 @ x)))))))) = $true)),
% 0.21/0.33 inference(xor_proxy_clausification,[],[f4])).
% 0.21/0.33 thf(f8,plain,(
% 0.21/0.33 (((f0 @ (f1 @ (f1 @ (f1 @ (f2 @ x)))))) = $false) | (((f0 @ (f0 @ (f0 @ (f1 @ (f2 @ (f2 @ (f2 @ x)))))))) = $false)),
% 0.21/0.33 inference(xor_proxy_clausification,[],[f4])).
% 0.21/0.33 thf(f10,definition,(
% 0.21/0.33 spl0_1 <=> (((f0 @ (f0 @ (f0 @ (f1 @ (f2 @ (f2 @ (f2 @ x)))))))) = $false)),
% 0.21/0.33 introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition])).
% 0.21/0.33 thf(f11,plain,(
% 0.21/0.33 (((f0 @ (f0 @ (f0 @ (f1 @ (f2 @ (f2 @ (f2 @ x)))))))) != $false) | spl0_1),
% 0.21/0.33 inference(avatar_component_clause,[],[f10])).
% 0.21/0.33 thf(f12,plain,(
% 0.21/0.33 (((f0 @ (f0 @ (f0 @ (f1 @ (f2 @ (f2 @ (f2 @ x)))))))) = $false) | ~spl0_1),
% 0.21/0.33 inference(avatar_component_clause,[],[f10])).
% 0.21/0.33 thf(f14,definition,(
% 0.21/0.33 spl0_2 <=> (((f0 @ (f1 @ (f1 @ (f1 @ (f2 @ x)))))) = $false)),
% 0.21/0.33 introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition])).
% 0.21/0.33 thf(f15,plain,(
% 0.21/0.33 (((f0 @ (f1 @ (f1 @ (f1 @ (f2 @ x)))))) != $false) | spl0_2),
% 0.21/0.33 inference(avatar_component_clause,[],[f14])).
% 0.21/0.33 thf(f16,plain,(
% 0.21/0.33 (((f0 @ (f1 @ (f1 @ (f1 @ (f2 @ x)))))) = $false) | ~spl0_2),
% 0.21/0.33 inference(avatar_component_clause,[],[f14])).
% 0.21/0.33 thf(f17,plain,(
% 0.21/0.33 spl0_1 | spl0_2),
% 0.21/0.33 inference(avatar_split_clause,[],[f8,f14,f10])).
% 0.21/0.33 thf(f19,definition,(
% 0.21/0.33 spl0_3 <=> (((f0 @ (f0 @ (f0 @ (f1 @ (f2 @ (f2 @ (f2 @ x)))))))) = $true)),
% 0.21/0.33 introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition])).
% 0.21/0.33 thf(f20,plain,(
% 0.21/0.33 (((f0 @ (f0 @ (f0 @ (f1 @ (f2 @ (f2 @ (f2 @ x)))))))) != $true) | spl0_3),
% 0.21/0.33 inference(avatar_component_clause,[],[f19])).
% 0.21/0.33 thf(f21,plain,(
% 0.21/0.33 (((f0 @ (f0 @ (f0 @ (f1 @ (f2 @ (f2 @ (f2 @ x)))))))) = $true) | ~spl0_3),
% 0.21/0.33 inference(avatar_component_clause,[],[f19])).
% 0.21/0.33 thf(f23,definition,(
% 0.21/0.33 spl0_4 <=> (((f0 @ (f1 @ (f1 @ (f1 @ (f2 @ x)))))) = $true)),
% 0.21/0.33 introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition])).
% 0.21/0.33 thf(f25,plain,(
% 0.21/0.33 (((f0 @ (f1 @ (f1 @ (f1 @ (f2 @ x)))))) = $true) | ~spl0_4),
% 0.21/0.33 inference(avatar_component_clause,[],[f23])).
% 0.21/0.33 thf(f26,plain,(
% 0.21/0.33 spl0_3 | spl0_4),
% 0.21/0.33 inference(avatar_split_clause,[],[f7,f23,f19])).
% 0.21/0.33 thf(f34,plain,(
% 0.21/0.33 ($true = ((f0 @ (f0 @ (f0 @ (f1 @ $true)))))) | (((f2 @ (f2 @ (f2 @ x)))) = $false) | ~spl0_3),
% 0.21/0.33 inference(constrained_superposition,[],[f21,f6])).
% 0.21/0.33 thf(f35,plain,(
% 0.21/0.33 ($false = ((f0 @ (f1 @ (f1 @ $true))))) | (((f1 @ (f2 @ x))) = $false) | ~spl0_2),
% 0.21/0.33 inference(constrained_superposition,[],[f16,f6])).
% 0.21/0.33 thf(f36,plain,(
% 0.21/0.33 ($true = ((f0 @ (f0 @ (f0 @ $true))))) | (((f1 @ (f2 @ (f2 @ (f2 @ x))))) = $false) | ~spl0_3),
% 0.21/0.33 inference(constrained_superposition,[],[f21,f6])).
% 0.21/0.33 thf(f37,plain,(
% 0.21/0.33 ($false = ((f0 @ (f1 @ $true)))) | (((f1 @ (f1 @ (f2 @ x)))) = $false) | ~spl0_2),
% 0.21/0.33 inference(constrained_superposition,[],[f16,f6])).
% 0.21/0.33 thf(f38,plain,(
% 0.21/0.33 ($false = ((f0 @ $true))) | (((f1 @ (f1 @ (f1 @ (f2 @ x))))) = $false) | ~spl0_2),
% 0.21/0.33 inference(constrained_superposition,[],[f16,f6])).
% 0.21/0.33 thf(f41,plain,(
% 0.21/0.33 ($true = ((f0 @ $true))) | (((f0 @ (f0 @ (f1 @ (f2 @ (f2 @ (f2 @ x))))))) = $false) | ~spl0_3),
% 0.21/0.33 inference(constrained_superposition,[],[f21,f6])).
% 0.21/0.33 thf(f49,definition,(
% 0.21/0.33 spl0_5 <=> (((f0 @ (f0 @ (f1 @ (f2 @ (f2 @ (f2 @ x))))))) = $false)),
% 0.21/0.33 introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition])).
% 0.21/0.33 thf(f50,plain,(
% 0.21/0.33 (((f0 @ (f0 @ (f1 @ (f2 @ (f2 @ (f2 @ x))))))) != $false) | spl0_5),
% 0.21/0.33 inference(avatar_component_clause,[],[f49])).
% 0.21/0.33 thf(f51,plain,(
% 0.21/0.33 (((f0 @ (f0 @ (f1 @ (f2 @ (f2 @ (f2 @ x))))))) = $false) | ~spl0_5),
% 0.21/0.33 inference(avatar_component_clause,[],[f49])).
% 0.21/0.33 thf(f53,definition,(
% 0.21/0.33 spl0_6 <=> ($true = ((f0 @ $true)))),
% 0.21/0.33 introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition])).
% 0.21/0.33 thf(f55,plain,(
% 0.21/0.33 ($true = ((f0 @ $true))) | ~spl0_6),
% 0.21/0.33 inference(avatar_component_clause,[],[f53])).
% 0.21/0.33 thf(f56,plain,(
% 0.21/0.33 spl0_5 | spl0_6 | ~spl0_3),
% 0.21/0.33 inference(avatar_split_clause,[],[f41,f19,f53,f49])).
% 0.21/0.33 thf(f58,definition,(
% 0.21/0.33 spl0_7 <=> (((f0 @ (f1 @ (f2 @ (f2 @ (f2 @ x)))))) = $false)),
% 0.21/0.33 introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition])).
% 0.21/0.33 thf(f59,plain,(
% 0.21/0.33 (((f0 @ (f1 @ (f2 @ (f2 @ (f2 @ x)))))) != $false) | spl0_7),
% 0.21/0.33 inference(avatar_component_clause,[],[f58])).
% 0.21/0.33 thf(f60,plain,(
% 0.21/0.33 (((f0 @ (f1 @ (f2 @ (f2 @ (f2 @ x)))))) = $false) | ~spl0_7),
% 0.21/0.33 inference(avatar_component_clause,[],[f58])).
% 0.21/0.33 thf(f62,definition,(
% 0.21/0.33 spl0_8 <=> ($true = ((f0 @ (f0 @ $true))))),
% 0.21/0.33 introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition])).
% 0.21/0.33 thf(f63,plain,(
% 0.21/0.33 ($true != ((f0 @ (f0 @ $true)))) | spl0_8),
% 0.21/0.33 inference(avatar_component_clause,[],[f62])).
% 0.21/0.33 thf(f64,plain,(
% 0.21/0.33 ($true = ((f0 @ (f0 @ $true)))) | ~spl0_8),
% 0.21/0.33 inference(avatar_component_clause,[],[f62])).
% 0.21/0.33 thf(f67,definition,(
% 0.21/0.33 spl0_9 <=> (((f1 @ (f1 @ (f1 @ (f2 @ x))))) = $false)),
% 0.21/0.33 introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition])).
% 0.21/0.33 thf(f68,plain,(
% 0.21/0.33 (((f1 @ (f1 @ (f1 @ (f2 @ x))))) != $false) | spl0_9),
% 0.21/0.33 inference(avatar_component_clause,[],[f67])).
% 0.21/0.33 thf(f69,plain,(
% 0.21/0.33 (((f1 @ (f1 @ (f1 @ (f2 @ x))))) = $false) | ~spl0_9),
% 0.21/0.33 inference(avatar_component_clause,[],[f67])).
% 0.21/0.33 thf(f71,definition,(
% 0.21/0.33 spl0_10 <=> ($false = ((f0 @ $true)))),
% 0.21/0.33 introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition])).
% 0.21/0.33 thf(f72,plain,(
% 0.21/0.33 ($false != ((f0 @ $true))) | spl0_10),
% 0.21/0.33 inference(avatar_component_clause,[],[f71])).
% 0.21/0.33 thf(f73,plain,(
% 0.21/0.33 ($false = ((f0 @ $true))) | ~spl0_10),
% 0.21/0.33 inference(avatar_component_clause,[],[f71])).
% 0.21/0.33 thf(f74,plain,(
% 0.21/0.33 spl0_9 | spl0_10 | ~spl0_2),
% 0.21/0.33 inference(avatar_split_clause,[],[f38,f14,f71,f67])).
% 0.21/0.33 thf(f76,definition,(
% 0.21/0.33 spl0_11 <=> (((f1 @ (f1 @ (f2 @ x)))) = $false)),
% 0.21/0.33 introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition])).
% 0.21/0.33 thf(f77,plain,(
% 0.21/0.33 (((f1 @ (f1 @ (f2 @ x)))) != $false) | spl0_11),
% 0.21/0.33 inference(avatar_component_clause,[],[f76])).
% 0.21/0.33 thf(f78,plain,(
% 0.21/0.33 (((f1 @ (f1 @ (f2 @ x)))) = $false) | ~spl0_11),
% 0.21/0.33 inference(avatar_component_clause,[],[f76])).
% 0.21/0.33 thf(f80,definition,(
% 0.21/0.33 spl0_12 <=> ($false = ((f0 @ (f1 @ $true))))),
% 0.21/0.33 introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition])).
% 0.21/0.33 thf(f81,plain,(
% 0.21/0.33 ($false != ((f0 @ (f1 @ $true)))) | spl0_12),
% 0.21/0.33 inference(avatar_component_clause,[],[f80])).
% 0.21/0.33 thf(f82,plain,(
% 0.21/0.33 ($false = ((f0 @ (f1 @ $true)))) | ~spl0_12),
% 0.21/0.33 inference(avatar_component_clause,[],[f80])).
% 0.21/0.33 thf(f83,plain,(
% 0.21/0.33 spl0_11 | spl0_12 | ~spl0_2),
% 0.21/0.33 inference(avatar_split_clause,[],[f37,f14,f80,f76])).
% 0.21/0.33 thf(f85,definition,(
% 0.21/0.33 spl0_13 <=> (((f1 @ (f2 @ (f2 @ (f2 @ x))))) = $false)),
% 0.21/0.33 introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition])).
% 0.21/0.33 thf(f86,plain,(
% 0.21/0.33 (((f1 @ (f2 @ (f2 @ (f2 @ x))))) != $false) | spl0_13),
% 0.21/0.33 inference(avatar_component_clause,[],[f85])).
% 0.21/0.33 thf(f87,plain,(
% 0.21/0.33 (((f1 @ (f2 @ (f2 @ (f2 @ x))))) = $false) | ~spl0_13),
% 0.21/0.33 inference(avatar_component_clause,[],[f85])).
% 0.21/0.33 thf(f89,definition,(
% 0.21/0.33 spl0_14 <=> ($true = ((f0 @ (f0 @ (f0 @ $true)))))),
% 0.21/0.33 introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition])).
% 0.21/0.33 thf(f90,plain,(
% 0.21/0.33 ($true != ((f0 @ (f0 @ (f0 @ $true))))) | spl0_14),
% 0.21/0.33 inference(avatar_component_clause,[],[f89])).
% 0.21/0.33 thf(f91,plain,(
% 0.21/0.33 ($true = ((f0 @ (f0 @ (f0 @ $true))))) | ~spl0_14),
% 0.21/0.33 inference(avatar_component_clause,[],[f89])).
% 0.21/0.33 thf(f92,plain,(
% 0.21/0.33 spl0_13 | spl0_14 | ~spl0_3),
% 0.21/0.33 inference(avatar_split_clause,[],[f36,f19,f89,f85])).
% 0.21/0.33 thf(f94,definition,(
% 0.21/0.33 spl0_15 <=> (((f1 @ (f2 @ x))) = $false)),
% 0.21/0.33 introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition])).
% 0.21/0.33 thf(f95,plain,(
% 0.21/0.33 (((f1 @ (f2 @ x))) != $false) | spl0_15),
% 0.21/0.33 inference(avatar_component_clause,[],[f94])).
% 0.21/0.33 thf(f96,plain,(
% 0.21/0.33 (((f1 @ (f2 @ x))) = $false) | ~spl0_15),
% 0.21/0.33 inference(avatar_component_clause,[],[f94])).
% 0.21/0.33 thf(f98,definition,(
% 0.21/0.33 spl0_16 <=> ($false = ((f0 @ (f1 @ (f1 @ $true)))))),
% 0.21/0.33 introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition])).
% 0.21/0.33 thf(f99,plain,(
% 0.21/0.33 ($false != ((f0 @ (f1 @ (f1 @ $true))))) | spl0_16),
% 0.21/0.33 inference(avatar_component_clause,[],[f98])).
% 0.21/0.33 thf(f100,plain,(
% 0.21/0.33 ($false = ((f0 @ (f1 @ (f1 @ $true))))) | ~spl0_16),
% 0.21/0.33 inference(avatar_component_clause,[],[f98])).
% 0.21/0.33 thf(f101,plain,(
% 0.21/0.33 spl0_15 | spl0_16 | ~spl0_2),
% 0.21/0.33 inference(avatar_split_clause,[],[f35,f14,f98,f94])).
% 0.21/0.33 thf(f103,definition,(
% 0.21/0.33 spl0_17 <=> (((f2 @ (f2 @ (f2 @ x)))) = $false)),
% 0.21/0.33 introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition])).
% 0.21/0.33 thf(f104,plain,(
% 0.21/0.33 (((f2 @ (f2 @ (f2 @ x)))) != $false) | spl0_17),
% 0.21/0.33 inference(avatar_component_clause,[],[f103])).
% 0.21/0.33 thf(f105,plain,(
% 0.21/0.33 (((f2 @ (f2 @ (f2 @ x)))) = $false) | ~spl0_17),
% 0.21/0.33 inference(avatar_component_clause,[],[f103])).
% 0.21/0.33 thf(f107,definition,(
% 0.21/0.33 spl0_18 <=> ($true = ((f0 @ (f0 @ (f0 @ (f1 @ $true))))))),
% 0.21/0.33 introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition])).
% 0.21/0.33 thf(f109,plain,(
% 0.21/0.33 ($true = ((f0 @ (f0 @ (f0 @ (f1 @ $true)))))) | ~spl0_18),
% 0.21/0.33 inference(avatar_component_clause,[],[f107])).
% 0.21/0.33 thf(f110,plain,(
% 0.21/0.33 spl0_17 | spl0_18 | ~spl0_3),
% 0.21/0.33 inference(avatar_split_clause,[],[f34,f19,f107,f103])).
% 0.21/0.33 thf(f112,definition,(
% 0.21/0.33 spl0_19 <=> (((f2 @ (f2 @ x))) = $false)),
% 0.21/0.33 introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition])).
% 0.21/0.33 thf(f113,plain,(
% 0.21/0.33 (((f2 @ (f2 @ x))) != $false) | spl0_19),
% 0.21/0.33 inference(avatar_component_clause,[],[f112])).
% 0.21/0.33 thf(f114,plain,(
% 0.21/0.33 (((f2 @ (f2 @ x))) = $false) | ~spl0_19),
% 0.21/0.33 inference(avatar_component_clause,[],[f112])).
% 0.21/0.33 thf(f121,definition,(
% 0.21/0.33 spl0_21 <=> (((f2 @ x)) = $false)),
% 0.21/0.33 introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition])).
% 0.21/0.33 thf(f122,plain,(
% 0.21/0.33 (((f2 @ x)) != $false) | spl0_21),
% 0.21/0.33 inference(avatar_component_clause,[],[f121])).
% 0.21/0.33 thf(f123,plain,(
% 0.21/0.33 (((f2 @ x)) = $false) | ~spl0_21),
% 0.21/0.33 inference(avatar_component_clause,[],[f121])).
% 0.21/0.33 thf(f125,definition,(
% 0.21/0.33 spl0_22 <=> ($false = ((f0 @ (f1 @ (f1 @ (f1 @ $true))))))),
% 0.21/0.33 introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition])).
% 0.21/0.33 thf(f126,plain,(
% 0.21/0.33 ($false != ((f0 @ (f1 @ (f1 @ (f1 @ $true)))))) | spl0_22),
% 0.21/0.33 inference(avatar_component_clause,[],[f125])).
% 0.21/0.33 thf(f135,definition,(
% 0.21/0.33 spl0_24 <=> (x = $false)),
% 0.21/0.33 introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition])).
% 0.21/0.33 thf(f136,plain,(
% 0.21/0.33 (x != $false) | spl0_24),
% 0.21/0.33 inference(avatar_component_clause,[],[f135])).
% 0.21/0.33 thf(f137,plain,(
% 0.21/0.33 (x = $false) | ~spl0_24),
% 0.21/0.33 inference(avatar_component_clause,[],[f135])).
% 0.21/0.33 thf(f156,plain,(
% 0.21/0.33 ($false != ((f0 @ $true))) | (((f1 @ (f1 @ (f1 @ (f2 @ x))))) = $false) | spl0_2),
% 0.21/0.33 inference(constrained_superposition,[],[f15,f6])).
% 0.21/0.33 thf(f158,plain,(
% 0.21/0.33 ($false = ((f1 @ (f1 @ (f1 @ $false))))) | ($false != ((f0 @ $true))) | (spl0_2 | ~spl0_21)),
% 0.21/0.33 inference(forward_demodulation,[],[f156,f123])).
% 0.21/0.33 thf(f162,definition,(
% 0.21/0.33 spl0_27 <=> ($false = ((f1 @ (f1 @ (f1 @ $false)))))),
% 0.21/0.33 introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition])).
% 0.21/0.33 thf(f163,plain,(
% 0.21/0.33 ($false != ((f1 @ (f1 @ (f1 @ $false))))) | spl0_27),
% 0.21/0.33 inference(avatar_component_clause,[],[f162])).
% 0.21/0.33 thf(f164,plain,(
% 0.21/0.33 ($false = ((f1 @ (f1 @ (f1 @ $false))))) | ~spl0_27),
% 0.21/0.33 inference(avatar_component_clause,[],[f162])).
% 0.21/0.33 thf(f165,plain,(
% 0.21/0.33 ~spl0_10 | spl0_27 | spl0_2 | ~spl0_21),
% 0.21/0.33 inference(avatar_split_clause,[],[f158,f121,f14,f162,f71])).
% 0.21/0.33 thf(f167,definition,(
% 0.21/0.33 spl0_28 <=> ($false = ((f1 @ (f1 @ $false))))),
% 0.21/0.33 introduced(definition,[new_symbols(definition,[spl0_28])],[avatar_definition])).
% 0.21/0.33 thf(f168,plain,(
% 0.21/0.33 ($false != ((f1 @ (f1 @ $false)))) | spl0_28),
% 0.21/0.33 inference(avatar_component_clause,[],[f167])).
% 0.21/0.33 thf(f169,plain,(
% 0.21/0.33 ($false = ((f1 @ (f1 @ $false)))) | ~spl0_28),
% 0.21/0.33 inference(avatar_component_clause,[],[f167])).
% 0.21/0.33 thf(f172,definition,(
% 0.21/0.33 spl0_29 <=> ($false = ((f1 @ $false)))),
% 0.21/0.33 introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition])).
% 0.21/0.33 thf(f173,plain,(
% 0.21/0.33 ($false != ((f1 @ $false))) | spl0_29),
% 0.21/0.33 inference(avatar_component_clause,[],[f172])).
% 0.21/0.33 thf(f174,plain,(
% 0.21/0.33 ($false = ((f1 @ $false))) | ~spl0_29),
% 0.21/0.33 inference(avatar_component_clause,[],[f172])).
% 0.21/0.33 thf(f187,plain,(
% 0.21/0.33 ($true = $false) | (~spl0_1 | ~spl0_3)),
% 0.21/0.33 inference(constrained_superposition,[],[f12,f21])).
% 0.21/0.33 thf(f191,plain,(
% 0.21/0.33 $false | (~spl0_1 | ~spl0_3)),
% 0.21/0.33 inference(trivial_inequality_removal,[],[f187])).
% 0.21/0.33 thf(f192,plain,(
% 0.21/0.33 ~spl0_1 | ~spl0_3),
% 0.21/0.33 inference(avatar_contradiction_clause,[],[f191])).
% 0.21/0.33 thf(f196,plain,(
% 0.21/0.33 ($false = ((f1 @ (f1 @ (f1 @ $false))))) | (~spl0_9 | ~spl0_21)),
% 0.21/0.33 inference(forward_demodulation,[],[f69,f123])).
% 0.21/0.33 thf(f197,plain,(
% 0.21/0.33 ($false = ((f1 @ (f1 @ $false)))) | (~spl0_11 | ~spl0_21)),
% 0.21/0.33 inference(forward_demodulation,[],[f78,f123])).
% 0.21/0.33 thf(f198,plain,(
% 0.21/0.33 ($false = ((f1 @ $false))) | (~spl0_15 | ~spl0_21)),
% 0.21/0.33 inference(forward_demodulation,[],[f96,f123])).
% 0.21/0.33 thf(f200,plain,(
% 0.21/0.33 spl0_28 | ~spl0_11 | ~spl0_21),
% 0.21/0.33 inference(avatar_split_clause,[],[f197,f121,f76,f167])).
% 0.21/0.33 thf(f201,plain,(
% 0.21/0.33 spl0_29 | ~spl0_15 | ~spl0_21),
% 0.21/0.33 inference(avatar_split_clause,[],[f198,f121,f94,f172])).
% 0.21/0.33 thf(f202,plain,(
% 0.21/0.33 ($false != ((f1 @ (f1 @ (f1 @ $false))))) | (spl0_9 | ~spl0_21)),
% 0.21/0.33 inference(forward_demodulation,[],[f68,f123])).
% 0.21/0.33 thf(f203,plain,(
% 0.21/0.33 ($false != ((f1 @ (f1 @ $false)))) | (spl0_11 | ~spl0_21)),
% 0.21/0.33 inference(forward_demodulation,[],[f77,f123])).
% 0.21/0.33 thf(f206,plain,(
% 0.21/0.33 ~spl0_28 | spl0_11 | ~spl0_21),
% 0.21/0.33 inference(avatar_split_clause,[],[f203,f121,f76,f167])).
% 0.21/0.33 thf(f208,plain,(
% 0.21/0.33 ( ! [X0 : $o] : (($false = ((f0 @ X0))) | ($false = X0)) ) | ~spl0_10),
% 0.21/0.33 inference(constrained_superposition,[],[f73,f6])).
% 0.21/0.33 thf(f217,plain,(
% 0.21/0.33 ($false = ((f2 @ $false))) | (~spl0_21 | ~spl0_24)),
% 0.21/0.33 inference(constrained_superposition,[],[f123,f137])).
% 0.21/0.33 thf(f225,plain,(
% 0.21/0.33 ($false = ((f0 @ $true))) | ($false = ((f1 @ $true))) | ~spl0_12),
% 0.21/0.33 inference(constrained_superposition,[],[f82,f6])).
% 0.21/0.33 thf(f239,plain,(
% 0.21/0.33 ($false = ((f2 @ $false))) | (~spl0_19 | ~spl0_21)),
% 0.21/0.33 inference(constrained_superposition,[],[f114,f123])).
% 0.21/0.33 thf(f245,plain,(
% 0.21/0.33 ($false != ((f1 @ $true))) | ($false = ((f1 @ $false))) | spl0_28),
% 0.21/0.33 inference(constrained_superposition,[],[f168,f6])).
% 0.21/0.33 thf(f247,plain,(
% 0.21/0.33 ($false != ((f1 @ $true))) | (spl0_28 | spl0_29)),
% 0.21/0.33 inference(forward_subsumption_resolution,[],[f245,f173])).
% 0.21/0.33 thf(f253,plain,(
% 0.21/0.33 ( ! [X0 : $o] : (($false != ((f1 @ X0))) | ($false = X0)) ) | (spl0_28 | spl0_29)),
% 0.21/0.33 inference(constrained_superposition,[],[f247,f6])).
% 0.21/0.33 thf(f257,plain,(
% 0.21/0.33 ($false = ((f2 @ (f2 @ $true)))) | (((f2 @ x)) = $false) | ~spl0_17),
% 0.21/0.33 inference(constrained_superposition,[],[f105,f6])).
% 0.21/0.33 thf(f258,plain,(
% 0.21/0.33 ($false = ((f2 @ (f2 @ $false)))) | (~spl0_17 | ~spl0_21)),
% 0.21/0.33 inference(constrained_superposition,[],[f105,f123])).
% 0.21/0.33 thf(f259,plain,(
% 0.21/0.33 ($false = ((f2 @ $true))) | (((f2 @ (f2 @ x))) = $false) | ~spl0_17),
% 0.21/0.33 inference(constrained_superposition,[],[f105,f6])).
% 0.21/0.33 thf(f260,plain,(
% 0.21/0.33 ($false = ((f2 @ $false))) | (~spl0_17 | ~spl0_19)),
% 0.21/0.33 inference(constrained_superposition,[],[f105,f114])).
% 0.21/0.33 thf(f280,plain,(
% 0.21/0.33 ($false = ((f1 @ (f2 @ $false)))) | (~spl0_13 | ~spl0_19)),
% 0.21/0.33 inference(constrained_superposition,[],[f87,f114])).
% 0.21/0.33 thf(f282,plain,(
% 0.21/0.33 ($false = ((f1 @ $false))) | (~spl0_13 | ~spl0_17)),
% 0.21/0.33 inference(constrained_superposition,[],[f87,f105])).
% 0.21/0.33 thf(f284,plain,(
% 0.21/0.33 ($false != $false) | (((f2 @ (f2 @ (f2 @ x)))) = $false) | (~spl0_13 | spl0_28 | spl0_29)),
% 0.21/0.33 inference(constrained_superposition,[],[f253,f87])).
% 0.21/0.33 thf(f286,plain,(
% 0.21/0.33 (((f2 @ (f2 @ (f2 @ x)))) = $false) | (~spl0_13 | spl0_28 | spl0_29)),
% 0.21/0.33 inference(trivial_inequality_removal,[],[f284])).
% 0.21/0.33 thf(f302,plain,(
% 0.21/0.33 ($false != ((f1 @ $false))) | (spl0_13 | ~spl0_17)),
% 0.21/0.33 inference(forward_demodulation,[],[f86,f105])).
% 0.21/0.33 thf(f303,plain,(
% 0.21/0.33 ($true = ((f0 @ (f0 @ $false)))) | (~spl0_10 | ~spl0_14)),
% 0.21/0.33 inference(forward_demodulation,[],[f91,f73])).
% 0.21/0.33 thf(f307,plain,(
% 0.21/0.33 ($true = $false) | ($false = ((f0 @ $false))) | (~spl0_10 | ~spl0_14)),
% 0.21/0.33 inference(constrained_superposition,[],[f208,f303])).
% 0.21/0.33 thf(f308,plain,(
% 0.21/0.33 ($false = ((f0 @ $false))) | (~spl0_10 | ~spl0_14)),
% 0.21/0.33 inference(trivial_inequality_removal,[],[f307])).
% 0.21/0.33 thf(f329,plain,(
% 0.21/0.33 ($true = ((f0 @ $false))) | (~spl0_10 | ~spl0_14)),
% 0.21/0.33 inference(constrained_superposition,[],[f303,f308])).
% 0.21/0.33 thf(f331,plain,(
% 0.21/0.33 ($true = $false) | (~spl0_10 | ~spl0_14)),
% 0.21/0.33 inference(forward_demodulation,[],[f329,f308])).
% 0.21/0.33 thf(f332,plain,(
% 0.21/0.33 $false | (~spl0_10 | ~spl0_14)),
% 0.21/0.33 inference(trivial_inequality_removal,[],[f331])).
% 0.21/0.33 thf(f333,plain,(
% 0.21/0.33 ~spl0_10 | ~spl0_14),
% 0.21/0.33 inference(avatar_contradiction_clause,[],[f332])).
% 0.21/0.33 thf(f335,plain,(
% 0.21/0.33 ($false != ((f2 @ $false))) | (spl0_21 | ~spl0_24)),
% 0.21/0.33 inference(forward_demodulation,[],[f122,f137])).
% 0.21/0.33 thf(f341,plain,(
% 0.21/0.33 ($false = ((f2 @ $false))) | ($false = ((f2 @ (f2 @ $true)))) | (~spl0_17 | ~spl0_24)),
% 0.21/0.33 inference(forward_demodulation,[],[f257,f137])).
% 0.21/0.33 thf(f346,plain,(
% 0.21/0.33 ($false = ((f1 @ $true))) | (spl0_10 | ~spl0_12)),
% 0.21/0.33 inference(forward_subsumption_resolution,[],[f225,f72])).
% 0.21/0.33 thf(f350,plain,(
% 0.21/0.33 $false | (~spl0_17 | ~spl0_19 | spl0_21 | ~spl0_24)),
% 0.21/0.33 inference(forward_subsumption_resolution,[],[f335,f260])).
% 0.21/0.33 thf(f351,plain,(
% 0.21/0.33 ~spl0_17 | ~spl0_19 | spl0_21 | ~spl0_24),
% 0.21/0.33 inference(avatar_contradiction_clause,[],[f350])).
% 0.21/0.33 thf(f356,plain,(
% 0.21/0.33 $false | (spl0_10 | ~spl0_12 | spl0_28 | spl0_29)),
% 0.21/0.33 inference(forward_subsumption_resolution,[],[f346,f247])).
% 0.21/0.33 thf(f357,plain,(
% 0.21/0.33 spl0_10 | ~spl0_12 | spl0_28 | spl0_29),
% 0.21/0.33 inference(avatar_contradiction_clause,[],[f356])).
% 0.21/0.33 thf(f365,plain,(
% 0.21/0.33 ($false != ((f2 @ (f2 @ $false)))) | (spl0_19 | ~spl0_24)),
% 0.21/0.33 inference(forward_demodulation,[],[f113,f137])).
% 0.21/0.33 thf(f370,plain,(
% 0.21/0.33 ($false = ((f2 @ (f2 @ $false)))) | ($false = ((f2 @ $true))) | (~spl0_17 | ~spl0_24)),
% 0.21/0.33 inference(forward_demodulation,[],[f259,f137])).
% 0.21/0.33 thf(f374,plain,(
% 0.21/0.33 ($false = ((f2 @ (f2 @ $true)))) | (~spl0_17 | spl0_21 | ~spl0_24)),
% 0.21/0.33 inference(forward_subsumption_resolution,[],[f341,f335])).
% 0.21/0.33 thf(f378,plain,(
% 0.21/0.33 ($false = ((f2 @ $true))) | (~spl0_17 | spl0_19 | ~spl0_24)),
% 0.21/0.33 inference(forward_subsumption_resolution,[],[f370,f365])).
% 0.21/0.33 thf(f382,plain,(
% 0.21/0.33 ($false != ((f2 @ (f2 @ (f2 @ $false))))) | (spl0_17 | ~spl0_24)),
% 0.21/0.33 inference(forward_demodulation,[],[f104,f137])).
% 0.21/0.33 thf(f383,plain,(
% 0.21/0.33 ($true = ((f0 @ (f0 @ $false)))) | (~spl0_12 | ~spl0_18)),
% 0.21/0.33 inference(forward_demodulation,[],[f109,f82])).
% 0.21/0.33 thf(f384,plain,(
% 0.21/0.33 ($false = ((f1 @ (f1 @ $false)))) | (~spl0_27 | ~spl0_29)),
% 0.21/0.33 inference(forward_demodulation,[],[f164,f174])).
% 0.21/0.33 thf(f387,plain,(
% 0.21/0.33 $false | (~spl0_27 | spl0_28 | ~spl0_29)),
% 0.21/0.33 inference(forward_subsumption_resolution,[],[f384,f168])).
% 0.21/0.33 thf(f388,plain,(
% 0.21/0.33 ~spl0_27 | spl0_28 | ~spl0_29),
% 0.21/0.33 inference(avatar_contradiction_clause,[],[f387])).
% 0.21/0.33 thf(f394,plain,(
% 0.21/0.33 ($false = ((f0 @ $false))) | (~spl0_2 | ~spl0_9)),
% 0.21/0.33 inference(forward_demodulation,[],[f16,f69])).
% 0.21/0.33 thf(f399,plain,(
% 0.21/0.33 ($true = ((f0 @ $false))) | (~spl0_2 | ~spl0_9 | ~spl0_12 | ~spl0_18)),
% 0.21/0.33 inference(forward_demodulation,[],[f383,f394])).
% 0.21/0.33 thf(f400,plain,(
% 0.21/0.33 ($true = $false) | (~spl0_2 | ~spl0_9 | ~spl0_12 | ~spl0_18)),
% 0.21/0.33 inference(forward_demodulation,[],[f399,f394])).
% 0.21/0.33 thf(f401,plain,(
% 0.21/0.33 $false | (~spl0_2 | ~spl0_9 | ~spl0_12 | ~spl0_18)),
% 0.21/0.33 inference(trivial_inequality_removal,[],[f400])).
% 0.21/0.33 thf(f402,plain,(
% 0.21/0.33 ~spl0_2 | ~spl0_9 | ~spl0_12 | ~spl0_18),
% 0.21/0.33 inference(avatar_contradiction_clause,[],[f401])).
% 0.21/0.33 thf(f403,plain,(
% 0.21/0.33 ($false = ((f0 @ $false))) | (~spl0_1 | ~spl0_5)),
% 0.21/0.33 inference(forward_demodulation,[],[f12,f51])).
% 0.21/0.33 thf(f404,plain,(
% 0.21/0.33 ($false != ((f0 @ $false))) | (spl0_2 | ~spl0_9)),
% 0.21/0.33 inference(forward_demodulation,[],[f15,f69])).
% 0.21/0.33 thf(f406,plain,(
% 0.21/0.33 ($true = ((f0 @ $false))) | (~spl0_4 | ~spl0_9)),
% 0.21/0.33 inference(forward_demodulation,[],[f25,f69])).
% 0.21/0.33 thf(f410,plain,(
% 0.21/0.33 ($true = $false) | (~spl0_1 | ~spl0_4 | ~spl0_5 | ~spl0_9)),
% 0.21/0.33 inference(forward_demodulation,[],[f406,f403])).
% 0.21/0.33 thf(f411,plain,(
% 0.21/0.33 $false | (~spl0_1 | ~spl0_4 | ~spl0_5 | ~spl0_9)),
% 0.21/0.33 inference(trivial_inequality_removal,[],[f410])).
% 0.21/0.33 thf(f412,plain,(
% 0.21/0.33 ~spl0_1 | ~spl0_4 | ~spl0_5 | ~spl0_9),
% 0.21/0.33 inference(avatar_contradiction_clause,[],[f411])).
% 0.21/0.33 thf(f417,plain,(
% 0.21/0.33 ( ! [X0 : $o] : (($false != ((f0 @ X0))) | ($false = X0)) ) | spl0_10),
% 0.21/0.33 inference(constrained_superposition,[],[f72,f6])).
% 0.21/0.33 thf(f423,plain,(
% 0.21/0.33 ($false = ((f0 @ (f0 @ (f0 @ $true))))) | (((f1 @ (f2 @ (f2 @ (f2 @ x))))) = $false) | ~spl0_1),
% 0.21/0.33 inference(constrained_superposition,[],[f12,f6])).
% 0.21/0.33 thf(f424,plain,(
% 0.21/0.33 ($false = ((f0 @ (f0 @ $true)))) | (((f0 @ (f1 @ (f2 @ (f2 @ (f2 @ x)))))) = $false) | ~spl0_1),
% 0.21/0.33 inference(constrained_superposition,[],[f12,f6])).
% 0.21/0.33 thf(f425,plain,(
% 0.21/0.33 ($false = ((f0 @ $true))) | (((f0 @ (f0 @ (f1 @ (f2 @ (f2 @ (f2 @ x))))))) = $false) | ~spl0_1),
% 0.21/0.33 inference(constrained_superposition,[],[f12,f6])).
% 0.21/0.33 thf(f428,plain,(
% 0.21/0.33 (((f0 @ (f0 @ (f1 @ (f2 @ (f2 @ (f2 @ x))))))) = $false) | (~spl0_1 | spl0_10)),
% 0.21/0.33 inference(forward_subsumption_resolution,[],[f425,f72])).
% 0.21/0.33 thf(f429,plain,(
% 0.21/0.33 ($false = ((f0 @ (f0 @ $true)))) | (~spl0_1 | spl0_7)),
% 0.21/0.33 inference(forward_subsumption_resolution,[],[f424,f59])).
% 0.21/0.33 thf(f430,plain,(
% 0.21/0.33 ($false = ((f0 @ (f0 @ (f0 @ $true))))) | (~spl0_1 | spl0_13)),
% 0.21/0.33 inference(forward_subsumption_resolution,[],[f423,f86])).
% 0.21/0.33 thf(f435,plain,(
% 0.21/0.33 $false | (~spl0_1 | spl0_5 | spl0_10)),
% 0.21/0.33 inference(forward_subsumption_resolution,[],[f428,f50])).
% 0.21/0.33 thf(f436,plain,(
% 0.21/0.33 ~spl0_1 | spl0_5 | spl0_10),
% 0.21/0.33 inference(avatar_contradiction_clause,[],[f435])).
% 0.21/0.33 thf(f437,plain,(
% 0.21/0.33 ($false = ((f0 @ $true))) | (~spl0_1 | ~spl0_8 | spl0_13)),
% 0.21/0.33 inference(forward_demodulation,[],[f430,f64])).
% 0.21/0.33 thf(f439,plain,(
% 0.21/0.33 $false | (~spl0_1 | ~spl0_8 | spl0_10 | spl0_13)),
% 0.21/0.33 inference(forward_subsumption_resolution,[],[f437,f72])).
% 0.21/0.33 thf(f440,plain,(
% 0.21/0.33 ~spl0_1 | ~spl0_8 | spl0_10 | spl0_13),
% 0.21/0.33 inference(avatar_contradiction_clause,[],[f439])).
% 0.21/0.33 thf(f451,plain,(
% 0.21/0.33 ($false != ((f0 @ (f1 @ (f1 @ (f1 @ $true)))))) | (((f2 @ x)) = $false) | spl0_2),
% 0.21/0.33 inference(constrained_superposition,[],[f15,f6])).
% 0.21/0.33 thf(f470,plain,(
% 0.21/0.33 ($false != ((f0 @ (f1 @ (f1 @ (f1 @ $true)))))) | (spl0_2 | spl0_21)),
% 0.21/0.33 inference(forward_subsumption_resolution,[],[f451,f122])).
% 0.21/0.33 thf(f492,plain,(
% 0.21/0.33 ($false != ((f1 @ (f1 @ $false)))) | (spl0_9 | ~spl0_21 | ~spl0_29)),
% 0.21/0.33 inference(forward_demodulation,[],[f202,f174])).
% 0.21/0.33 thf(f494,plain,(
% 0.21/0.33 ($false != ((f1 @ (f1 @ $false)))) | (spl0_27 | ~spl0_29)),
% 0.21/0.33 inference(forward_demodulation,[],[f163,f174])).
% 0.21/0.33 thf(f497,plain,(
% 0.21/0.33 ($false != ((f1 @ $false))) | (spl0_9 | ~spl0_21 | ~spl0_29)),
% 0.21/0.33 inference(forward_demodulation,[],[f492,f174])).
% 0.21/0.33 thf(f499,plain,(
% 0.21/0.33 ($false != ((f1 @ $false))) | (spl0_27 | ~spl0_29)),
% 0.21/0.33 inference(forward_demodulation,[],[f494,f174])).
% 0.21/0.33 thf(f500,plain,(
% 0.21/0.33 $false | (spl0_9 | ~spl0_21 | ~spl0_29)),
% 0.21/0.33 inference(forward_subsumption_resolution,[],[f497,f174])).
% 0.21/0.33 thf(f501,plain,(
% 0.21/0.33 spl0_9 | ~spl0_21 | ~spl0_29),
% 0.21/0.33 inference(avatar_contradiction_clause,[],[f500])).
% 0.21/0.33 thf(f503,plain,(
% 0.21/0.33 $false | (spl0_27 | ~spl0_29)),
% 0.21/0.33 inference(forward_subsumption_resolution,[],[f499,f174])).
% 0.21/0.33 thf(f504,plain,(
% 0.21/0.33 spl0_27 | ~spl0_29),
% 0.21/0.33 inference(avatar_contradiction_clause,[],[f503])).
% 0.21/0.33 thf(f506,plain,(
% 0.21/0.33 ($false != ((f0 @ $false))) | (spl0_1 | ~spl0_5)),
% 0.21/0.33 inference(forward_demodulation,[],[f11,f51])).
% 0.21/0.33 thf(f507,plain,(
% 0.21/0.33 ($false = ((f0 @ (f1 @ $false)))) | (~spl0_2 | ~spl0_11)),
% 0.21/0.33 inference(forward_demodulation,[],[f16,f78])).
% 0.21/0.33 thf(f511,plain,(
% 0.21/0.33 ($false = ((f1 @ $false))) | (~spl0_9 | ~spl0_11)),
% 0.21/0.33 inference(forward_demodulation,[],[f69,f78])).
% 0.21/0.33 thf(f518,plain,(
% 0.21/0.33 ($false != ((f2 @ (f2 @ $false)))) | (spl0_17 | ~spl0_21 | ~spl0_24)),
% 0.21/0.33 inference(forward_demodulation,[],[f382,f217])).
% 0.21/0.33 thf(f533,plain,(
% 0.21/0.33 ($false != ((f2 @ $false))) | (spl0_17 | ~spl0_21 | ~spl0_24)),
% 0.21/0.33 inference(forward_demodulation,[],[f518,f217])).
% 0.21/0.33 thf(f541,plain,(
% 0.21/0.33 $false | (spl0_17 | ~spl0_21 | ~spl0_24)),
% 0.21/0.33 inference(forward_subsumption_resolution,[],[f533,f217])).
% 0.21/0.33 thf(f542,plain,(
% 0.21/0.33 spl0_17 | ~spl0_21 | ~spl0_24),
% 0.21/0.33 inference(avatar_contradiction_clause,[],[f541])).
% 0.21/0.33 thf(f550,plain,(
% 0.21/0.33 $false | (spl0_1 | ~spl0_2 | ~spl0_5 | ~spl0_9)),
% 0.21/0.33 inference(forward_subsumption_resolution,[],[f506,f394])).
% 0.21/0.33 thf(f551,plain,(
% 0.21/0.33 spl0_1 | ~spl0_2 | ~spl0_5 | ~spl0_9),
% 0.21/0.33 inference(avatar_contradiction_clause,[],[f550])).
% 0.21/0.33 thf(f578,plain,(
% 0.21/0.33 ($false = ((f2 @ $true))) | (x = $false) | ~spl0_21),
% 0.21/0.33 inference(constrained_superposition,[],[f123,f6])).
% 0.21/0.33 thf(f581,plain,(
% 0.21/0.33 ($false = ((f2 @ $true))) | (~spl0_21 | spl0_24)),
% 0.21/0.33 inference(forward_subsumption_resolution,[],[f578,f136])).
% 0.21/0.33 thf(f585,plain,(
% 0.21/0.33 ($true = ((f0 @ (f1 @ (f1 @ $true))))) | (((f1 @ (f2 @ x))) = $false) | ~spl0_4),
% 0.21/0.33 inference(constrained_superposition,[],[f25,f6])).
% 0.21/0.33 thf(f586,plain,(
% 0.21/0.33 ($true = ((f0 @ (f1 @ $true)))) | (((f1 @ (f1 @ (f2 @ x)))) = $false) | ~spl0_4),
% 0.21/0.33 inference(constrained_superposition,[],[f25,f6])).
% 0.21/0.33 thf(f587,plain,(
% 0.21/0.33 ($true = ((f0 @ $true))) | (((f1 @ (f1 @ (f1 @ (f2 @ x))))) = $false) | ~spl0_4),
% 0.21/0.33 inference(constrained_superposition,[],[f25,f6])).
% 0.21/0.33 thf(f588,plain,(
% 0.21/0.33 ($false = ((f1 @ $false))) | ($true = ((f0 @ $true))) | (~spl0_4 | ~spl0_11)),
% 0.21/0.33 inference(forward_demodulation,[],[f587,f78])).
% 0.21/0.33 thf(f592,plain,(
% 0.21/0.33 ($true = ((f0 @ $true))) | (~spl0_4 | ~spl0_11 | spl0_29)),
% 0.21/0.33 inference(forward_subsumption_resolution,[],[f588,f173])).
% 0.21/0.33 thf(f595,plain,(
% 0.21/0.33 spl0_6 | ~spl0_4 | ~spl0_11 | spl0_29),
% 0.21/0.33 inference(avatar_split_clause,[],[f592,f172,f76,f23,f53])).
% 0.21/0.33 thf(f608,plain,(
% 0.21/0.33 ($true != ((f0 @ $true))) | ($false = ((f0 @ $true))) | spl0_8),
% 0.21/0.33 inference(constrained_superposition,[],[f63,f6])).
% 0.21/0.33 thf(f609,plain,(
% 0.21/0.33 ($true != ((f0 @ $true))) | (~spl0_6 | spl0_8)),
% 0.21/0.33 inference(constrained_superposition,[],[f63,f55])).
% 0.21/0.33 thf(f615,plain,(
% 0.21/0.33 $false | (~spl0_6 | spl0_8)),
% 0.21/0.33 inference(forward_subsumption_resolution,[],[f609,f55])).
% 0.21/0.33 thf(f616,plain,(
% 0.21/0.33 ~spl0_6 | spl0_8),
% 0.21/0.33 inference(avatar_contradiction_clause,[],[f615])).
% 0.21/0.33 thf(f617,plain,(
% 0.21/0.33 ($false = ((f0 @ $true))) | spl0_8),
% 0.21/0.33 inference(forward_subsumption_resolution,[],[f608,f6])).
% 0.21/0.33 thf(f618,plain,(
% 0.21/0.33 $false | (spl0_8 | spl0_10)),
% 0.21/0.33 inference(forward_subsumption_resolution,[],[f617,f72])).
% 0.21/0.33 thf(f619,plain,(
% 0.21/0.33 spl0_8 | spl0_10),
% 0.21/0.33 inference(avatar_contradiction_clause,[],[f618])).
% 0.21/0.33 thf(f635,plain,(
% 0.21/0.33 ($false = ((f1 @ $false))) | (~spl0_13 | ~spl0_19 | ~spl0_21)),
% 0.21/0.33 inference(forward_demodulation,[],[f280,f239])).
% 0.21/0.33 thf(f637,plain,(
% 0.21/0.33 $false | (~spl0_13 | ~spl0_19 | ~spl0_21 | spl0_29)),
% 0.21/0.33 inference(forward_subsumption_resolution,[],[f635,f173])).
% 0.21/0.33 thf(f638,plain,(
% 0.21/0.33 ~spl0_13 | ~spl0_19 | ~spl0_21 | spl0_29),
% 0.21/0.33 inference(avatar_contradiction_clause,[],[f637])).
% 0.21/0.33 thf(f644,plain,(
% 0.21/0.33 ($false != ((f0 @ (f1 @ (f1 @ $false))))) | (spl0_10 | ~spl0_12 | spl0_22)),
% 0.21/0.33 inference(forward_demodulation,[],[f126,f346])).
% 0.21/0.33 thf(f648,plain,(
% 0.21/0.33 ($false = ((f0 @ $false))) | (~spl0_7 | ~spl0_13)),
% 0.21/0.33 inference(forward_demodulation,[],[f60,f87])).
% 0.21/0.33 thf(f653,plain,(
% 0.21/0.33 ($false != ((f0 @ $false))) | (spl0_10 | ~spl0_12 | spl0_22 | ~spl0_28)),
% 0.21/0.33 inference(forward_demodulation,[],[f644,f169])).
% 0.21/0.33 thf(f659,plain,(
% 0.21/0.33 $false | (~spl0_1 | ~spl0_5 | spl0_10 | ~spl0_12 | spl0_22 | ~spl0_28)),
% 0.21/0.33 inference(forward_subsumption_resolution,[],[f653,f403])).
% 0.21/0.33 thf(f660,plain,(
% 0.21/0.33 ~spl0_1 | ~spl0_5 | spl0_10 | ~spl0_12 | spl0_22 | ~spl0_28),
% 0.21/0.33 inference(avatar_contradiction_clause,[],[f659])).
% 0.21/0.33 thf(f665,plain,(
% 0.21/0.33 ($false = ((f1 @ $false))) | (~spl0_27 | ~spl0_28)),
% 0.21/0.33 inference(forward_demodulation,[],[f164,f169])).
% 0.21/0.33 thf(f668,plain,(
% 0.21/0.33 ~spl0_22 | spl0_2 | spl0_21),
% 0.21/0.33 inference(avatar_split_clause,[],[f470,f121,f14,f125])).
% 0.21/0.33 thf(f670,plain,(
% 0.21/0.33 ($false != ((f1 @ (f1 @ $false)))) | (spl0_9 | ~spl0_15)),
% 0.21/0.33 inference(forward_demodulation,[],[f68,f96])).
% 0.21/0.33 thf(f677,plain,(
% 0.21/0.33 ($true = ((f0 @ (f1 @ (f1 @ $true))))) | (~spl0_4 | spl0_15)),
% 0.21/0.33 inference(forward_subsumption_resolution,[],[f585,f95])).
% 0.21/0.33 thf(f678,plain,(
% 0.21/0.33 ($true = ((f0 @ (f1 @ $true)))) | (~spl0_4 | spl0_11)),
% 0.21/0.33 inference(forward_subsumption_resolution,[],[f586,f77])).
% 0.21/0.33 thf(f679,plain,(
% 0.21/0.33 ($false != ((f2 @ $true))) | (x = $false) | spl0_21),
% 0.21/0.33 inference(constrained_superposition,[],[f122,f6])).
% 0.21/0.33 thf(f681,plain,(
% 0.21/0.33 ($false != ((f2 @ $true))) | (spl0_21 | spl0_24)),
% 0.21/0.33 inference(forward_subsumption_resolution,[],[f679,f136])).
% 0.21/0.33 thf(f686,plain,(
% 0.21/0.33 ( ! [X0 : $o] : (($false != ((f0 @ (f1 @ X0)))) | ($false = X0)) ) | spl0_12),
% 0.21/0.33 inference(constrained_superposition,[],[f81,f6])).
% 0.21/0.33 thf(f692,plain,(
% 0.21/0.33 ($false != ((f1 @ (f2 @ $true)))) | (x = $false) | spl0_15),
% 0.21/0.33 inference(constrained_superposition,[],[f95,f6])).
% 0.21/0.33 thf(f693,plain,(
% 0.21/0.33 ($false != ((f1 @ $true))) | (((f2 @ x)) = $false) | spl0_15),
% 0.21/0.33 inference(constrained_superposition,[],[f95,f6])).
% 0.21/0.33 thf(f695,plain,(
% 0.21/0.33 ($false != ((f1 @ $true))) | (spl0_15 | spl0_21)),
% 0.21/0.33 inference(forward_subsumption_resolution,[],[f693,f122])).
% 0.21/0.33 thf(f696,plain,(
% 0.21/0.33 ($false != ((f1 @ (f2 @ $true)))) | (spl0_15 | spl0_24)),
% 0.21/0.33 inference(forward_subsumption_resolution,[],[f692,f136])).
% 0.21/0.33 thf(f697,plain,(
% 0.21/0.33 ( ! [X0 : $o] : (($false != ((f1 @ X0))) | ($false = X0)) ) | (spl0_15 | spl0_21)),
% 0.21/0.34 inference(constrained_superposition,[],[f695,f6])).
% 0.21/0.34 thf(f699,plain,(
% 0.21/0.34 ($false = ((f1 @ $true))) | ($false = ((f1 @ $false))) | ~spl0_28),
% 0.21/0.34 inference(constrained_superposition,[],[f169,f6])).
% 0.21/0.34 thf(f708,plain,(
% 0.21/0.34 ($true = ((f0 @ $true))) | ($false = ((f1 @ $true))) | (~spl0_4 | spl0_11)),
% 0.21/0.34 inference(constrained_superposition,[],[f678,f6])).
% 0.21/0.34 thf(f749,plain,(
% 0.21/0.34 ($true = ((f0 @ (f1 @ $true)))) | ($false = ((f1 @ $true))) | (~spl0_4 | spl0_15)),
% 0.21/0.34 inference(constrained_superposition,[],[f677,f6])).
% 0.21/0.34 thf(f779,plain,(
% 0.21/0.34 ($false = ((f1 @ (f2 @ $true)))) | (((f2 @ (f2 @ x))) = $false) | ~spl0_13),
% 0.21/0.34 inference(constrained_superposition,[],[f87,f6])).
% 0.21/0.34 thf(f783,plain,(
% 0.21/0.34 ($false != ((f0 @ $false))) | (((f2 @ (f2 @ (f2 @ x)))) = $false) | (spl0_12 | ~spl0_13)),
% 0.21/0.34 inference(constrained_superposition,[],[f686,f87])).
% 0.21/0.34 thf(f784,plain,(
% 0.21/0.34 ($false != $false) | (((f2 @ (f2 @ (f2 @ x)))) = $false) | (~spl0_13 | spl0_15 | spl0_21)),
% 0.21/0.34 inference(constrained_superposition,[],[f697,f87])).
% 0.21/0.34 thf(f785,plain,(
% 0.21/0.34 (((f2 @ (f2 @ (f2 @ x)))) = $false) | (~spl0_13 | spl0_15 | spl0_21)),
% 0.21/0.34 inference(trivial_inequality_removal,[],[f784])).
% 0.21/0.34 thf(f787,plain,(
% 0.21/0.34 spl0_17 | ~spl0_13 | spl0_15 | spl0_21),
% 0.21/0.34 inference(avatar_split_clause,[],[f785,f121,f94,f85,f103])).
% 0.21/0.34 thf(f788,plain,(
% 0.21/0.34 (((f2 @ (f2 @ (f2 @ x)))) = $false) | (~spl0_1 | ~spl0_5 | spl0_12 | ~spl0_13)),
% 0.21/0.34 inference(forward_subsumption_resolution,[],[f783,f403])).
% 0.21/0.34 thf(f792,plain,(
% 0.21/0.34 (((f2 @ (f2 @ x))) = $false) | (~spl0_13 | spl0_15 | spl0_24)),
% 0.21/0.34 inference(forward_subsumption_resolution,[],[f779,f696])).
% 0.21/0.34 thf(f795,plain,(
% 0.21/0.34 spl0_17 | ~spl0_1 | ~spl0_5 | spl0_12 | ~spl0_13),
% 0.21/0.34 inference(avatar_split_clause,[],[f788,f85,f80,f49,f10,f103])).
% 0.21/0.34 thf(f797,plain,(
% 0.21/0.34 spl0_19 | ~spl0_13 | spl0_15 | spl0_24),
% 0.21/0.34 inference(avatar_split_clause,[],[f792,f135,f94,f85,f112])).
% 0.21/0.34 thf(f805,plain,(
% 0.21/0.34 ($false = ((f2 @ $true))) | (((f2 @ x)) = $false) | ~spl0_19),
% 0.21/0.34 inference(constrained_superposition,[],[f114,f6])).
% 0.21/0.34 thf(f814,plain,(
% 0.21/0.34 (((f2 @ x)) = $false) | (~spl0_19 | spl0_21 | spl0_24)),
% 0.21/0.34 inference(forward_subsumption_resolution,[],[f805,f681])).
% 0.21/0.34 thf(f816,plain,(
% 0.21/0.34 $false | (~spl0_19 | spl0_21 | spl0_24)),
% 0.21/0.34 inference(forward_subsumption_resolution,[],[f814,f122])).
% 0.21/0.34 thf(f817,plain,(
% 0.21/0.34 ~spl0_19 | spl0_21 | spl0_24),
% 0.21/0.34 inference(avatar_contradiction_clause,[],[f816])).
% 0.21/0.34 thf(f824,plain,(
% 0.21/0.34 ($false = ((f2 @ $false))) | (~spl0_17 | spl0_19 | spl0_21 | ~spl0_24)),
% 0.21/0.34 inference(forward_demodulation,[],[f374,f378])).
% 0.21/0.34 thf(f830,plain,(
% 0.21/0.34 $false | (~spl0_17 | spl0_19 | spl0_21 | ~spl0_24)),
% 0.21/0.34 inference(forward_subsumption_resolution,[],[f824,f335])).
% 0.21/0.34 thf(f831,plain,(
% 0.21/0.34 ~spl0_17 | spl0_19 | spl0_21 | ~spl0_24),
% 0.21/0.34 inference(avatar_contradiction_clause,[],[f830])).
% 0.21/0.34 thf(f842,plain,(
% 0.21/0.34 ($false != ((f0 @ (f0 @ $false)))) | (spl0_5 | ~spl0_13)),
% 0.21/0.34 inference(forward_demodulation,[],[f50,f87])).
% 0.21/0.34 thf(f850,plain,(
% 0.21/0.34 ($false != ((f0 @ $false))) | (~spl0_2 | spl0_5 | ~spl0_9 | ~spl0_13)),
% 0.21/0.34 inference(forward_demodulation,[],[f842,f394])).
% 0.21/0.34 thf(f857,plain,(
% 0.21/0.34 $false | (~spl0_2 | spl0_5 | ~spl0_9 | ~spl0_13)),
% 0.21/0.34 inference(forward_subsumption_resolution,[],[f850,f394])).
% 0.21/0.34 thf(f858,plain,(
% 0.21/0.34 ~spl0_2 | spl0_5 | ~spl0_9 | ~spl0_13),
% 0.21/0.34 inference(avatar_contradiction_clause,[],[f857])).
% 0.21/0.34 thf(f869,plain,(
% 0.21/0.34 ~spl0_29 | spl0_13 | ~spl0_17),
% 0.21/0.34 inference(avatar_split_clause,[],[f302,f103,f85,f172])).
% 0.21/0.34 thf(f879,plain,(
% 0.21/0.34 ($false != ((f0 @ (f0 @ (f1 @ $false))))) | (spl0_5 | ~spl0_17)),
% 0.21/0.34 inference(forward_demodulation,[],[f50,f105])).
% 0.21/0.34 thf(f887,plain,(
% 0.21/0.34 ($false != ((f0 @ $false))) | (~spl0_2 | spl0_5 | ~spl0_11 | ~spl0_17)),
% 0.21/0.34 inference(forward_demodulation,[],[f879,f507])).
% 0.21/0.34 thf(f893,plain,(
% 0.21/0.34 $false | (~spl0_2 | spl0_5 | ~spl0_9 | ~spl0_11 | ~spl0_17)),
% 0.21/0.34 inference(forward_subsumption_resolution,[],[f887,f394])).
% 0.21/0.34 thf(f894,plain,(
% 0.21/0.34 ~spl0_2 | spl0_5 | ~spl0_9 | ~spl0_11 | ~spl0_17),
% 0.21/0.34 inference(avatar_contradiction_clause,[],[f893])).
% 0.21/0.34 thf(f931,plain,(
% 0.21/0.34 ($false = ((f1 @ $true))) | (((f2 @ x)) = $false) | ~spl0_15),
% 0.21/0.34 inference(constrained_superposition,[],[f96,f6])).
% 0.21/0.34 thf(f941,plain,(
% 0.21/0.34 ($false != ((f2 @ (f2 @ $true)))) | (x = $false) | spl0_19),
% 0.21/0.34 inference(constrained_superposition,[],[f113,f6])).
% 0.21/0.34 thf(f944,plain,(
% 0.21/0.34 ($false != ((f2 @ (f2 @ $true)))) | (spl0_19 | spl0_24)),
% 0.21/0.34 inference(forward_subsumption_resolution,[],[f941,f136])).
% 0.21/0.34 thf(f960,plain,(
% 0.21/0.34 ($false = ((f2 @ (f2 @ $true)))) | (((f2 @ x)) = $false) | ~spl0_17),
% 0.21/0.34 inference(constrained_superposition,[],[f105,f6])).
% 0.21/0.34 thf(f969,plain,(
% 0.21/0.34 (((f2 @ x)) = $false) | (~spl0_17 | spl0_19 | spl0_24)),
% 0.21/0.34 inference(forward_subsumption_resolution,[],[f960,f944])).
% 0.21/0.34 thf(f973,plain,(
% 0.21/0.34 $false | (~spl0_17 | spl0_19 | spl0_21 | spl0_24)),
% 0.21/0.34 inference(forward_subsumption_resolution,[],[f969,f122])).
% 0.21/0.34 thf(f974,plain,(
% 0.21/0.34 ~spl0_17 | spl0_19 | spl0_21 | spl0_24),
% 0.21/0.34 inference(avatar_contradiction_clause,[],[f973])).
% 0.21/0.34 thf(f976,plain,(
% 0.21/0.34 spl0_29 | ~spl0_9 | ~spl0_11),
% 0.21/0.34 inference(avatar_split_clause,[],[f511,f76,f67,f172])).
% 0.21/0.34 thf(f980,plain,(
% 0.21/0.34 spl0_29 | ~spl0_27 | ~spl0_28),
% 0.21/0.34 inference(avatar_split_clause,[],[f665,f167,f162,f172])).
% 0.21/0.34 thf(f982,plain,(
% 0.21/0.34 ($false = ((f1 @ $true))) | (~spl0_15 | spl0_21)),
% 0.21/0.34 inference(forward_subsumption_resolution,[],[f931,f122])).
% 0.21/0.34 thf(f1010,plain,(
% 0.21/0.34 ( ! [X0 : $o] : (($false = ((f1 @ X0))) | ($false = X0)) ) | (~spl0_15 | spl0_21)),
% 0.21/0.34 inference(constrained_superposition,[],[f982,f6])).
% 0.21/0.34 thf(f1012,plain,(
% 0.21/0.34 ($false != ((f0 @ (f1 @ $false)))) | (~spl0_15 | spl0_16 | spl0_21)),
% 0.21/0.34 inference(constrained_superposition,[],[f99,f982])).
% 0.21/0.34 thf(f1014,plain,(
% 0.21/0.34 $false | (~spl0_2 | ~spl0_11 | ~spl0_15 | spl0_16 | spl0_21)),
% 0.21/0.34 inference(forward_subsumption_resolution,[],[f1012,f507])).
% 0.21/0.34 thf(f1015,plain,(
% 0.21/0.34 ~spl0_2 | ~spl0_11 | ~spl0_15 | spl0_16 | spl0_21),
% 0.21/0.34 inference(avatar_contradiction_clause,[],[f1014])).
% 0.21/0.34 thf(f1038,plain,(
% 0.21/0.34 ($false = ((f0 @ (f1 @ $true)))) | ($false = ((f1 @ $true))) | ~spl0_16),
% 0.21/0.34 inference(constrained_superposition,[],[f100,f6])).
% 0.21/0.34 thf(f1048,plain,(
% 0.21/0.34 ($false = ((f1 @ $true))) | (spl0_10 | ~spl0_16)),
% 0.21/0.34 inference(forward_subsumption_resolution,[],[f1038,f417])).
% 0.21/0.34 thf(f1054,plain,(
% 0.21/0.34 ($false = ((f1 @ $false))) | (~spl0_9 | ~spl0_21 | ~spl0_28)),
% 0.21/0.34 inference(forward_demodulation,[],[f196,f169])).
% 0.21/0.34 thf(f1060,plain,(
% 0.21/0.34 ($false != ((f1 @ (f2 @ (f2 @ $false))))) | (spl0_13 | ~spl0_21)),
% 0.21/0.34 inference(forward_demodulation,[],[f86,f123])).
% 0.21/0.34 thf(f1074,plain,(
% 0.21/0.34 ( ! [X0 : $o] : (($false = ((f2 @ X0))) | ($false = X0)) ) | (~spl0_21 | spl0_24)),
% 0.21/0.34 inference(constrained_superposition,[],[f581,f6])).
% 0.21/0.34 thf(f1087,plain,(
% 0.21/0.34 ($false != ((f0 @ $false))) | (spl0_10 | spl0_12 | ~spl0_16)),
% 0.21/0.34 inference(constrained_superposition,[],[f81,f1048])).
% 0.21/0.34 thf(f1089,plain,(
% 0.21/0.34 $false | (~spl0_2 | ~spl0_9 | spl0_10 | spl0_12 | ~spl0_16)),
% 0.21/0.34 inference(forward_subsumption_resolution,[],[f1087,f394])).
% 0.21/0.34 thf(f1090,plain,(
% 0.21/0.34 ~spl0_2 | ~spl0_9 | spl0_10 | spl0_12 | ~spl0_16),
% 0.21/0.34 inference(avatar_contradiction_clause,[],[f1089])).
% 0.21/0.34 thf(f1104,plain,(
% 0.21/0.34 ($false != ((f2 @ (f2 @ $false)))) | (spl0_17 | ~spl0_21)),
% 0.21/0.34 inference(constrained_superposition,[],[f104,f123])).
% 0.21/0.34 thf(f1109,plain,(
% 0.21/0.34 ($false != $false) | (((f2 @ (f2 @ x))) = $false) | (spl0_17 | ~spl0_21 | spl0_24)),
% 0.21/0.34 inference(constrained_superposition,[],[f104,f1074])).
% 0.21/0.34 thf(f1110,plain,(
% 0.21/0.34 (((f2 @ (f2 @ x))) = $false) | (spl0_17 | ~spl0_21 | spl0_24)),
% 0.21/0.34 inference(trivial_inequality_removal,[],[f1109])).
% 0.21/0.34 thf(f1111,plain,(
% 0.21/0.34 ($false = ((f2 @ $false))) | (spl0_17 | ~spl0_21 | spl0_24)),
% 0.21/0.34 inference(forward_demodulation,[],[f1110,f123])).
% 0.21/0.34 thf(f1120,plain,(
% 0.21/0.34 ($false != ((f1 @ (f2 @ $false)))) | (spl0_13 | spl0_17 | ~spl0_21 | spl0_24)),
% 0.21/0.34 inference(constrained_superposition,[],[f1060,f1111])).
% 0.21/0.34 thf(f1121,plain,(
% 0.21/0.34 ($false != ((f1 @ $true))) | ($false = ((f2 @ (f2 @ $false)))) | (spl0_13 | ~spl0_21)),
% 0.21/0.34 inference(constrained_superposition,[],[f1060,f6])).
% 0.21/0.34 thf(f1124,plain,(
% 0.21/0.34 ($false != ((f1 @ $true))) | (spl0_13 | spl0_17 | ~spl0_21)),
% 0.21/0.34 inference(forward_subsumption_resolution,[],[f1121,f1104])).
% 0.21/0.34 thf(f1125,plain,(
% 0.21/0.34 ($false != ((f1 @ $false))) | (spl0_13 | spl0_17 | ~spl0_21 | spl0_24)),
% 0.21/0.34 inference(forward_demodulation,[],[f1120,f1111])).
% 0.21/0.34 thf(f1126,plain,(
% 0.21/0.34 $false | (spl0_13 | spl0_17 | ~spl0_21 | spl0_24 | ~spl0_29)),
% 0.21/0.34 inference(forward_subsumption_resolution,[],[f1125,f174])).
% 0.21/0.34 thf(f1127,plain,(
% 0.21/0.34 spl0_13 | spl0_17 | ~spl0_21 | spl0_24 | ~spl0_29),
% 0.21/0.34 inference(avatar_contradiction_clause,[],[f1126])).
% 0.21/0.34 thf(f1136,plain,(
% 0.21/0.34 ($true = $false) | (~spl0_2 | ~spl0_4)),
% 0.21/0.34 inference(forward_demodulation,[],[f25,f16])).
% 0.21/0.34 thf(f1137,plain,(
% 0.21/0.34 $false | (~spl0_2 | ~spl0_4)),
% 0.21/0.34 inference(trivial_inequality_removal,[],[f1136])).
% 0.21/0.34 thf(f1138,plain,(
% 0.21/0.34 ~spl0_2 | ~spl0_4),
% 0.21/0.34 inference(avatar_contradiction_clause,[],[f1137])).
% 0.21/0.34 thf(f1151,plain,(
% 0.21/0.34 ($true != ((f0 @ (f0 @ $true)))) | (~spl0_6 | spl0_14)),
% 0.21/0.34 inference(forward_demodulation,[],[f90,f55])).
% 0.21/0.34 thf(f1163,plain,(
% 0.21/0.34 ($false = ((f1 @ $false))) | (spl0_13 | spl0_17 | ~spl0_21 | ~spl0_28)),
% 0.21/0.34 inference(forward_subsumption_resolution,[],[f699,f1124])).
% 0.21/0.34 thf(f1183,plain,(
% 0.21/0.34 ($true != ((f0 @ $true))) | (~spl0_6 | spl0_14)),
% 0.21/0.34 inference(forward_demodulation,[],[f1151,f55])).
% 0.21/0.34 thf(f1184,plain,(
% 0.21/0.34 $false | (spl0_13 | spl0_17 | ~spl0_21 | ~spl0_28 | spl0_29)),
% 0.21/0.34 inference(forward_subsumption_resolution,[],[f1163,f173])).
% 0.21/0.34 thf(f1185,plain,(
% 0.21/0.34 spl0_13 | spl0_17 | ~spl0_21 | ~spl0_28 | spl0_29),
% 0.21/0.34 inference(avatar_contradiction_clause,[],[f1184])).
% 0.21/0.34 thf(f1192,plain,(
% 0.21/0.34 $false | (~spl0_6 | spl0_14)),
% 0.21/0.34 inference(forward_subsumption_resolution,[],[f1183,f55])).
% 0.21/0.34 thf(f1193,plain,(
% 0.21/0.34 ~spl0_6 | spl0_14),
% 0.21/0.34 inference(avatar_contradiction_clause,[],[f1192])).
% 0.21/0.34 thf(f1206,plain,(
% 0.21/0.34 ($false = ((f0 @ $false))) | (~spl0_1 | spl0_7 | ~spl0_10)),
% 0.21/0.34 inference(forward_demodulation,[],[f429,f73])).
% 0.21/0.34 thf(f1223,plain,(
% 0.21/0.34 ($true = $false) | ($false = ((f1 @ $true))) | (~spl0_4 | ~spl0_10 | spl0_11)),
% 0.21/0.34 inference(forward_demodulation,[],[f708,f73])).
% 0.21/0.34 thf(f1224,plain,(
% 0.21/0.34 ($false = ((f1 @ $true))) | (~spl0_4 | ~spl0_10 | spl0_11)),
% 0.21/0.34 inference(trivial_inequality_removal,[],[f1223])).
% 0.21/0.34 thf(f1249,plain,(
% 0.21/0.34 $false | (~spl0_4 | ~spl0_10 | spl0_11 | spl0_28 | spl0_29)),
% 0.21/0.34 inference(forward_subsumption_resolution,[],[f1224,f247])).
% 0.21/0.34 thf(f1250,plain,(
% 0.21/0.34 ~spl0_4 | ~spl0_10 | spl0_11 | spl0_28 | spl0_29),
% 0.21/0.34 inference(avatar_contradiction_clause,[],[f1249])).
% 0.21/0.34 thf(f1279,plain,(
% 0.21/0.34 spl0_29 | ~spl0_13 | ~spl0_17),
% 0.21/0.34 inference(avatar_split_clause,[],[f282,f103,f85,f172])).
% 0.21/0.34 thf(f1283,definition,(
% 0.21/0.34 spl0_30 <=> ($true = ((f0 @ (f1 @ $true))))),
% 0.21/0.34 introduced(definition,[new_symbols(definition,[spl0_30])],[avatar_definition])).
% 0.21/0.34 thf(f1285,plain,(
% 0.21/0.34 ($true = ((f0 @ (f1 @ $true)))) | ~spl0_30),
% 0.21/0.34 inference(avatar_component_clause,[],[f1283])).
% 0.21/0.34 thf(f1289,plain,(
% 0.21/0.34 spl0_29 | ~spl0_9 | ~spl0_21 | ~spl0_28),
% 0.21/0.34 inference(avatar_split_clause,[],[f1054,f167,f121,f67,f172])).
% 0.21/0.34 thf(f1291,plain,(
% 0.21/0.34 $false | (~spl0_1 | spl0_2 | spl0_7 | ~spl0_9 | ~spl0_10)),
% 0.21/0.34 inference(forward_subsumption_resolution,[],[f1206,f404])).
% 0.21/0.34 thf(f1292,plain,(
% 0.21/0.34 ~spl0_1 | spl0_2 | spl0_7 | ~spl0_9 | ~spl0_10),
% 0.21/0.34 inference(avatar_contradiction_clause,[],[f1291])).
% 0.21/0.34 thf(f1301,plain,(
% 0.21/0.34 ($false = ((f0 @ (f1 @ (f2 @ (f2 @ $false)))))) | (~spl0_7 | ~spl0_21)),
% 0.21/0.34 inference(forward_demodulation,[],[f60,f123])).
% 0.21/0.34 thf(f1313,plain,(
% 0.21/0.34 $false | (spl0_2 | ~spl0_7 | ~spl0_9 | ~spl0_13)),
% 0.21/0.34 inference(forward_subsumption_resolution,[],[f648,f404])).
% 0.21/0.34 thf(f1314,plain,(
% 0.21/0.34 spl0_2 | ~spl0_7 | ~spl0_9 | ~spl0_13),
% 0.21/0.34 inference(avatar_contradiction_clause,[],[f1313])).
% 0.21/0.34 thf(f1319,plain,(
% 0.21/0.34 ($false = ((f0 @ (f1 @ $false)))) | (~spl0_7 | ~spl0_17 | ~spl0_21)),
% 0.21/0.34 inference(forward_demodulation,[],[f1301,f258])).
% 0.21/0.34 thf(f1326,plain,(
% 0.21/0.34 ($false = ((f0 @ $false))) | (~spl0_7 | ~spl0_17 | ~spl0_21 | ~spl0_29)),
% 0.21/0.34 inference(forward_demodulation,[],[f1319,f174])).
% 0.21/0.34 thf(f1334,plain,(
% 0.21/0.34 $false | (spl0_2 | ~spl0_7 | ~spl0_9 | ~spl0_17 | ~spl0_21 | ~spl0_29)),
% 0.21/0.34 inference(forward_subsumption_resolution,[],[f1326,f404])).
% 0.21/0.34 thf(f1335,plain,(
% 0.21/0.34 spl0_2 | ~spl0_7 | ~spl0_9 | ~spl0_17 | ~spl0_21 | ~spl0_29),
% 0.21/0.34 inference(avatar_contradiction_clause,[],[f1334])).
% 0.21/0.34 thf(f1469,plain,(
% 0.21/0.34 ($true != ((f0 @ (f0 @ (f0 @ $false))))) | (((f2 @ (f2 @ (f2 @ x)))) = $false) | (spl0_3 | ~spl0_15 | spl0_21)),
% 0.21/0.34 inference(constrained_superposition,[],[f20,f1010])).
% 0.21/0.34 thf(f1475,plain,(
% 0.21/0.34 ($true != ((f0 @ (f0 @ (f0 @ $false))))) | (spl0_3 | ~spl0_15 | spl0_17 | spl0_21)),
% 0.21/0.34 inference(forward_subsumption_resolution,[],[f1469,f104])).
% 0.21/0.34 thf(f1478,plain,(
% 0.21/0.34 ($true != ((f0 @ (f0 @ $true)))) | (spl0_3 | ~spl0_4 | ~spl0_9 | ~spl0_15 | spl0_17 | spl0_21)),
% 0.21/0.34 inference(forward_demodulation,[],[f1475,f406])).
% 0.21/0.34 thf(f1481,plain,(
% 0.21/0.34 ($true != ((f0 @ $false))) | (spl0_3 | ~spl0_4 | ~spl0_9 | ~spl0_10 | ~spl0_15 | spl0_17 | spl0_21)),
% 0.21/0.34 inference(forward_demodulation,[],[f1478,f73])).
% 0.21/0.34 thf(f1484,plain,(
% 0.21/0.34 $false | (spl0_3 | ~spl0_4 | ~spl0_9 | ~spl0_10 | ~spl0_15 | spl0_17 | spl0_21)),
% 0.21/0.34 inference(forward_subsumption_resolution,[],[f1481,f406])).
% 0.21/0.34 thf(f1485,plain,(
% 0.21/0.34 spl0_3 | ~spl0_4 | ~spl0_9 | ~spl0_10 | ~spl0_15 | spl0_17 | spl0_21),
% 0.21/0.34 inference(avatar_contradiction_clause,[],[f1484])).
% 0.21/0.34 thf(f1495,definition,(
% 0.21/0.34 spl0_31 <=> ($false = ((f1 @ $true)))),
% 0.21/0.34 introduced(definition,[new_symbols(definition,[spl0_31])],[avatar_definition])).
% 0.21/0.34 thf(f1496,plain,(
% 0.21/0.34 ($false != ((f1 @ $true))) | spl0_31),
% 0.21/0.34 inference(avatar_component_clause,[],[f1495])).
% 0.21/0.34 thf(f1498,plain,(
% 0.21/0.34 spl0_31 | spl0_30 | ~spl0_4 | spl0_15),
% 0.21/0.34 inference(avatar_split_clause,[],[f749,f94,f23,f1283,f1495])).
% 0.21/0.34 thf(f1501,plain,(
% 0.21/0.34 ~spl0_31 | spl0_15 | spl0_21),
% 0.21/0.34 inference(avatar_split_clause,[],[f695,f121,f94,f1495])).
% 0.21/0.34 thf(f1511,plain,(
% 0.21/0.34 ($true = ((f0 @ $true))) | ($false = ((f1 @ $true))) | ~spl0_30),
% 0.21/0.34 inference(constrained_superposition,[],[f1285,f6])).
% 0.21/0.34 thf(f1523,plain,(
% 0.21/0.34 ($true = ((f0 @ $true))) | (~spl0_30 | spl0_31)),
% 0.21/0.34 inference(forward_subsumption_resolution,[],[f1511,f1496])).
% 0.21/0.34 thf(f1524,plain,(
% 0.21/0.34 ($true = $false) | (~spl0_10 | ~spl0_30 | spl0_31)),
% 0.21/0.34 inference(forward_demodulation,[],[f1523,f73])).
% 0.21/0.34 thf(f1525,plain,(
% 0.21/0.34 $false | (~spl0_10 | ~spl0_30 | spl0_31)),
% 0.21/0.34 inference(trivial_inequality_removal,[],[f1524])).
% 0.21/0.34 thf(f1526,plain,(
% 0.21/0.34 ~spl0_10 | ~spl0_30 | spl0_31),
% 0.21/0.34 inference(avatar_contradiction_clause,[],[f1525])).
% 0.21/0.34 thf(f1540,plain,(
% 0.21/0.34 ~spl0_28 | spl0_9 | ~spl0_15),
% 0.21/0.34 inference(avatar_split_clause,[],[f670,f94,f67,f167])).
% 0.21/0.34 thf(f1544,plain,(
% 0.21/0.34 $false | (~spl0_13 | spl0_17 | spl0_28 | spl0_29)),
% 0.21/0.34 inference(forward_subsumption_resolution,[],[f286,f104])).
% 0.21/0.34 thf(f1545,plain,(
% 0.21/0.34 ~spl0_13 | spl0_17 | spl0_28 | spl0_29),
% 0.21/0.34 inference(avatar_contradiction_clause,[],[f1544])).
% 0.21/0.34 thf(f1548,plain,(
% 0.21/0.34 spl0_31 | ~spl0_15 | spl0_21),
% 0.21/0.34 inference(avatar_split_clause,[],[f982,f121,f94,f1495])).
% 0.21/0.34 thf(f1553,plain,(
% 0.21/0.34 ~spl0_31 | spl0_28 | spl0_29),
% 0.21/0.34 inference(avatar_split_clause,[],[f247,f172,f167,f1495])).
% 0.21/0.34 cnf(s1, plain, spl0_1 | spl0_2, inference(sat_conversion,[],[f17])).
% 0.21/0.34 cnf(s2, plain, spl0_3 | spl0_4, inference(sat_conversion,[],[f26])).
% 0.21/0.34 cnf(s3, plain, ~spl0_3 | spl0_5 | spl0_6, inference(sat_conversion,[],[f56])).
% 0.21/0.34 cnf(s5, plain, ~spl0_2 | spl0_9 | spl0_10, inference(sat_conversion,[],[f74])).
% 0.21/0.34 cnf(s6, plain, ~spl0_2 | spl0_11 | spl0_12, inference(sat_conversion,[],[f83])).
% 0.21/0.34 cnf(s7, plain, ~spl0_3 | spl0_13 | spl0_14, inference(sat_conversion,[],[f92])).
% 0.21/0.34 cnf(s8, plain, ~spl0_2 | spl0_15 | spl0_16, inference(sat_conversion,[],[f101])).
% 0.21/0.34 cnf(s9, plain, ~spl0_3 | spl0_17 | spl0_18, inference(sat_conversion,[],[f110])).
% 0.21/0.34 cnf(s15, plain, spl0_2 | ~spl0_10 | ~spl0_21 | spl0_27, inference(sat_conversion,[],[f165])).
% 0.21/0.34 cnf(s19, plain, ~spl0_1 | ~spl0_3, inference(sat_conversion,[],[f192])).
% 0.21/0.34 cnf(s21, plain, ~spl0_11 | ~spl0_21 | spl0_28, inference(sat_conversion,[],[f200])).
% 0.21/0.34 cnf(s22, plain, ~spl0_15 | ~spl0_21 | spl0_29, inference(sat_conversion,[],[f201])).
% 0.21/0.34 cnf(s24, plain, spl0_11 | ~spl0_21 | ~spl0_28, inference(sat_conversion,[],[f206])).
% 0.21/0.34 cnf(s30, plain, ~spl0_10 | ~spl0_14, inference(sat_conversion,[],[f333])).
% 0.21/0.34 cnf(s31, plain, ~spl0_17 | ~spl0_19 | spl0_21 | ~spl0_24, inference(sat_conversion,[],[f351])).
% 0.21/0.34 cnf(s32, plain, spl0_10 | ~spl0_12 | spl0_28 | spl0_29, inference(sat_conversion,[],[f357])).
% 0.21/0.34 cnf(s38, plain, ~spl0_27 | spl0_28 | ~spl0_29, inference(sat_conversion,[],[f388])).
% 0.21/0.34 cnf(s41, plain, ~spl0_2 | ~spl0_9 | ~spl0_12 | ~spl0_18, inference(sat_conversion,[],[f402])).
% 0.21/0.34 cnf(s43, plain, ~spl0_1 | ~spl0_4 | ~spl0_5 | ~spl0_9, inference(sat_conversion,[],[f412])).
% 0.21/0.34 cnf(s44, plain, ~spl0_1 | spl0_5 | spl0_10, inference(sat_conversion,[],[f436])).
% 0.21/0.34 cnf(s45, plain, ~spl0_1 | ~spl0_8 | spl0_10 | spl0_13, inference(sat_conversion,[],[f440])).
% 0.21/0.34 cnf(s55, plain, spl0_9 | ~spl0_21 | ~spl0_29, inference(sat_conversion,[],[f501])).
% 0.21/0.34 cnf(s56, plain, spl0_27 | ~spl0_29, inference(sat_conversion,[],[f504])).
% 0.21/0.34 cnf(s60, plain, spl0_17 | ~spl0_21 | ~spl0_24, inference(sat_conversion,[],[f542])).
% 0.21/0.34 cnf(s63, plain, spl0_1 | ~spl0_2 | ~spl0_5 | ~spl0_9, inference(sat_conversion,[],[f551])).
% 0.21/0.34 cnf(s67, plain, ~spl0_4 | spl0_6 | ~spl0_11 | spl0_29, inference(sat_conversion,[],[f595])).
% 0.21/0.34 cnf(s68, plain, ~spl0_6 | spl0_8, inference(sat_conversion,[],[f616])).
% 0.21/0.34 cnf(s69, plain, spl0_8 | spl0_10, inference(sat_conversion,[],[f619])).
% 0.21/0.34 cnf(s72, plain, ~spl0_13 | ~spl0_19 | ~spl0_21 | spl0_29, inference(sat_conversion,[],[f638])).
% 0.21/0.34 cnf(s77, plain, ~spl0_1 | ~spl0_5 | spl0_10 | ~spl0_12 | spl0_22 | ~spl0_28, inference(sat_conversion,[],[f660])).
% 0.21/0.34 cnf(s80, plain, spl0_2 | spl0_21 | ~spl0_22, inference(sat_conversion,[],[f668])).
% 0.21/0.34 cnf(s84, plain, ~spl0_13 | spl0_15 | spl0_17 | spl0_21, inference(sat_conversion,[],[f787])).
% 0.21/0.34 cnf(s85, plain, ~spl0_1 | ~spl0_5 | spl0_12 | ~spl0_13 | spl0_17, inference(sat_conversion,[],[f795])).
% 0.21/0.34 cnf(s88, plain, ~spl0_13 | spl0_15 | spl0_19 | spl0_24, inference(sat_conversion,[],[f797])).
% 0.21/0.34 cnf(s90, plain, ~spl0_19 | spl0_21 | spl0_24, inference(sat_conversion,[],[f817])).
% 0.21/0.34 cnf(s91, plain, ~spl0_17 | spl0_19 | spl0_21 | ~spl0_24, inference(sat_conversion,[],[f831])).
% 0.21/0.34 cnf(s94, plain, ~spl0_2 | spl0_5 | ~spl0_9 | ~spl0_13, inference(sat_conversion,[],[f858])).
% 0.21/0.34 cnf(s98, plain, spl0_13 | ~spl0_17 | ~spl0_29, inference(sat_conversion,[],[f869])).
% 0.21/0.34 cnf(s104, plain, ~spl0_2 | spl0_5 | ~spl0_9 | ~spl0_11 | ~spl0_17, inference(sat_conversion,[],[f894])).
% 0.21/0.34 cnf(s109, plain, ~spl0_17 | spl0_19 | spl0_21 | spl0_24, inference(sat_conversion,[],[f974])).
% 0.21/0.34 cnf(s110, plain, ~spl0_9 | ~spl0_11 | spl0_29, inference(sat_conversion,[],[f976])).
% 0.21/0.34 cnf(s112, plain, ~spl0_27 | ~spl0_28 | spl0_29, inference(sat_conversion,[],[f980])).
% 0.21/0.34 cnf(s113, plain, ~spl0_2 | ~spl0_11 | ~spl0_15 | spl0_16 | spl0_21, inference(sat_conversion,[],[f1015])).
% 0.21/0.34 cnf(s116, plain, ~spl0_2 | ~spl0_9 | spl0_10 | spl0_12 | ~spl0_16, inference(sat_conversion,[],[f1090])).
% 0.21/0.34 cnf(s117, plain, spl0_13 | spl0_17 | ~spl0_21 | spl0_24 | ~spl0_29, inference(sat_conversion,[],[f1127])).
% 0.21/0.34 cnf(s118, plain, ~spl0_2 | ~spl0_4, inference(sat_conversion,[],[f1138])).
% 0.21/0.34 cnf(s132, plain, spl0_13 | spl0_17 | ~spl0_21 | ~spl0_28 | spl0_29, inference(sat_conversion,[],[f1185])).
% 0.21/0.34 cnf(s134, plain, ~spl0_6 | spl0_14, inference(sat_conversion,[],[f1193])).
% 0.21/0.34 cnf(s142, plain, ~spl0_4 | ~spl0_10 | spl0_11 | spl0_28 | spl0_29, inference(sat_conversion,[],[f1250])).
% 0.21/0.34 cnf(s154, plain, ~spl0_13 | ~spl0_17 | spl0_29, inference(sat_conversion,[],[f1279])).
% 0.21/0.34 cnf(s160, plain, ~spl0_9 | ~spl0_21 | ~spl0_28 | spl0_29, inference(sat_conversion,[],[f1289])).
% 0.21/0.34 cnf(s161, plain, ~spl0_1 | spl0_2 | spl0_7 | ~spl0_9 | ~spl0_10, inference(sat_conversion,[],[f1292])).
% 0.21/0.34 cnf(s167, plain, spl0_2 | ~spl0_7 | ~spl0_9 | ~spl0_13, inference(sat_conversion,[],[f1314])).
% 0.21/0.34 cnf(s173, plain, spl0_2 | ~spl0_7 | ~spl0_9 | ~spl0_17 | ~spl0_21 | ~spl0_29, inference(sat_conversion,[],[f1335])).
% 0.21/0.34 cnf(s181, plain, spl0_3 | ~spl0_4 | ~spl0_9 | ~spl0_10 | ~spl0_15 | spl0_17 | spl0_21, inference(sat_conversion,[],[f1485])).
% 0.21/0.34 cnf(s183, plain, ~spl0_4 | spl0_15 | spl0_30 | spl0_31, inference(sat_conversion,[],[f1498])).
% 0.21/0.34 cnf(s184, plain, spl0_15 | spl0_21 | ~spl0_31, inference(sat_conversion,[],[f1501])).
% 0.21/0.34 cnf(s187, plain, ~spl0_10 | ~spl0_30 | spl0_31, inference(sat_conversion,[],[f1526])).
% 0.21/0.34 cnf(s188, plain, spl0_9 | ~spl0_15 | ~spl0_28, inference(sat_conversion,[],[f1540])).
% 0.21/0.34 cnf(s192, plain, ~spl0_13 | spl0_17 | spl0_28 | spl0_29, inference(sat_conversion,[],[f1545])).
% 0.21/0.34 cnf(s194, plain, ~spl0_15 | spl0_21 | spl0_31, inference(sat_conversion,[],[f1548])).
% 0.21/0.34 cnf(s197, plain, spl0_28 | spl0_29 | ~spl0_31, inference(sat_conversion,[],[f1553])).
% 0.21/0.34 cnf(s206, plain, spl0_19 | spl0_21 | ~spl0_17, inference(rat,[],[s91,s109])).
% 0.21/0.34 cnf(s207, plain, spl0_21 | ~spl0_17, inference(rat,[],[s31,s90,s206])).
% 0.21/0.34 cnf(s208, plain, ~spl0_12 | spl0_5 | ~spl0_2, inference(rat,[],[s207,s160,s32,s98,s9,s41,s94,s5,s30,s134,s3,s2,s118])).
% 0.21/0.34 cnf(s209, plain, spl0_17 | ~spl0_29 | spl0_13 | ~spl0_21, inference(rat,[],[s60,s117])).
% 0.21/0.34 cnf(s210, plain, spl0_5 | ~spl0_2, inference(rat,[],[s209,s113,s8,s110,s104,s116,s6,s208,s94,s5,s30,s134,s3,s2,s118])).
% 0.21/0.34 cnf(s211, plain, ~spl0_17 | spl0_1, inference(rat,[],[s55,s154,s207,s7,s30,s5,s63,s210,s2,s118,s1])).
% 0.21/0.34 cnf(s212, plain, spl0_28 | ~spl0_29, inference(rat,[],[s56,s38])).
% 0.21/0.34 cnf(s213, plain, spl0_28 | ~spl0_31, inference(rat,[],[s212,s197])).
% 0.21/0.34 cnf(s214, plain, spl0_21 | spl0_1, inference(rat,[],[s213,s188,s194,s84,s7,s30,s5,s63,s210,s2,s118,s1,s211])).
% 0.21/0.34 cnf(s215, plain, spl0_1, inference(rat,[],[s88,s22,s72,s60,s55,s214,s211,s7,s30,s5,s63,s210,s2,s118,s1])).
% 0.21/0.34 cnf(s216, plain, ~spl0_3, inference(rat,[],[s19,s215])).
% 0.21/0.34 cnf(s217, plain, spl0_4, inference(rat,[],[s2,s216])).
% 0.21/0.34 cnf(s218, plain, ~spl0_2, inference(rat,[],[s118,s217])).
% 0.21/0.34 cnf(s219, plain, ~spl0_28 | ~spl0_17 | spl0_29, inference(rat,[],[s45,s68,s15,s67,s112,s24,s207,s154,s215,s218,s217])).
% 0.21/0.34 cnf(s220, plain, ~spl0_17 | spl0_29, inference(rat,[],[s45,s69,s142,s21,s219,s154,s207,s215,s217])).
% 0.21/0.34 cnf(s221, plain, spl0_10 | spl0_13, inference(rat,[],[s45,s69,s215])).
% 0.21/0.34 cnf(s222, plain, spl0_15 | ~spl0_10 | spl0_21, inference(rat,[],[s187,s183,s184,s217])).
% 0.21/0.34 cnf(s223, plain, ~spl0_10 | ~spl0_28 | spl0_21 | spl0_17, inference(rat,[],[s181,s188,s222,s216,s217])).
% 0.21/0.34 cnf(s224, plain, ~spl0_28 | spl0_21 | spl0_17, inference(rat,[],[s85,s77,s221,s44,s223,s80,s215,s218])).
% 0.21/0.34 cnf(s225, plain, spl0_21 | spl0_29, inference(rat,[],[s222,s221,s194,s192,s213,s224,s220])).
% 0.21/0.34 cnf(s226, plain, spl0_13 | spl0_17 | spl0_29 | ~spl0_21, inference(rat,[],[s142,s21,s221,s132,s217])).
% 0.21/0.34 cnf(s227, plain, spl0_29, inference(rat,[],[s88,s72,s226,s22,s60,s225,s220])).
% 0.21/0.34 cnf(s229, plain, spl0_28, inference(rat,[],[s212,s227])).
% 0.21/0.34 cnf(s230, plain, ~spl0_17, inference(rat,[],[s161,s44,s173,s43,s55,s207,s215,s218,s227,s217])).
% 0.21/0.34 cnf(s232, plain, spl0_21, inference(rat,[],[s224,s229,s230])).
% 0.21/0.34 cnf(s233, plain, spl0_9, inference(rat,[],[s55,s227,s232])).
% 0.21/0.34 cnf(s234, plain, spl0_13, inference(rat,[],[s209,s227,s230,s232])).
% 0.21/0.34 cnf(s238, plain, ~spl0_5, inference(rat,[],[s43,s217,s215,s233])).
% 0.21/0.34 cnf(s239, plain, ~spl0_7, inference(rat,[],[s167,s234,s218,s233])).
% 0.21/0.34 cnf(s242, plain, spl0_10, inference(rat,[],[s44,s215,s238])).
% 0.21/0.34 cnf(s244, plain, $false, inference(rat,[],[s161,s218,s233,s215,s242,s239])).
% 0.21/0.34 thf(f1574,plain,(
% 0.21/0.34 $false),
% 0.21/0.34 inference(avatar_sat_refutation,[],[s244])).
% 0.21/0.34 % SZS output end Proof for theBenchmark
% 0.21/0.34 % (1036598)------------------------------
% 0.21/0.34 % (1036598)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.34 % (1036598)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.34 % (1036598)CaDiCaL version: 2.1.3
% 0.21/0.34 % (1036598)Termination reason: Refutation
% 0.21/0.34 % (1036598)Time elapsed: 0.047 s
% 0.21/0.34 % (1036598)Peak memory usage: 13 MB
% 0.21/0.34 % (1036598)Instructions burned: 89 (million)
% 0.21/0.34 % (1036588)Success in time 0.087 s
% 0.21/0.34 % Vampire exiting
%------------------------------------------------------------------------------