%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : CSR144^1 : 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 : n010.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 07:47:20 AM UTC 2026
% Result : Theorem 0.19s 0.29s
% Output : Refutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR144^1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.19 % Computer : n010.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Tue Sep 29 17:57:18 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.23 Running first-order model finding
% 0.09/0.23 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
% 0.19/0.29 % (3211455)Will run a generic schedule for satisfiability detection.
% 0.19/0.29 % (3211466)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=851231927:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.19/0.29 % (3211461)% WARNING: option uhcvi not known.
% 0.19/0.29 % (3211460)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1592006055_2999 on theBenchmark for (2999ds/0Mi)
% 0.19/0.29 % (3211464)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=154937466:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.19/0.29 % (3211463)dis+10_1_sil=32000:sp=arity:random_seed=2352297919:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.19/0.29 % (3211462)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2924520677:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.19/0.29 % (3211461)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1313049085:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.19/0.29 % (3211465)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2472966761:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.19/0.29 % (3211464)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.19/0.29 % (3211461)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.19/0.29 % Exception at run slice level
% 0.19/0.29 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 0.19/0.29 % (3211461)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 0.19/0.29 % (3211466) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3211455-3211466"...
% 0.19/0.29 % (3211466)...printing done.
% 0.19/0.29 % (3211466)Refutation found. Thanks to Tanya!
% 0.19/0.29 % SZS status Theorem for theBenchmark
% 0.19/0.29 % SZS output start Proof for theBenchmark
% 0.19/0.29 thf(type_def_5, type, num: $tType).
% 0.19/0.29 thf(type_def_6, type, sTfun: ($tType * $tType) > $tType).
% 0.19/0.29 thf(func_def_0, type, believes_THFTYPE_IiooI: ($i > $o > $o)).
% 0.19/0.29 thf(func_def_1, type, considers_THFTYPE_IiooI: ($i > $o > $o)).
% 0.19/0.29 thf(func_def_2, type, holdsDuring_THFTYPE_IiooI: ($i > $o > $o)).
% 0.19/0.29 thf(func_def_3, type, husband_THFTYPE_IiioI: ($i > $i > $o)).
% 0.19/0.29 thf(func_def_5, type, wife_THFTYPE_IiioI: ($i > $i > $o)).
% 0.19/0.29 thf(func_def_6, type, inverse_THFTYPE_IIiioIIiioIoI: (($i > $i > $o) > ($i > $i > $o) > $o)).
% 0.19/0.29 thf(func_def_8, type, vNOT: ($o > $o)).
% 0.19/0.29 thf(func_def_11, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))).
% 0.19/0.29 thf(func_def_12, type, db0: !>[X0: $tType]:(X0)).
% 0.19/0.29 thf(func_def_13, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 0.19/0.29 thf(func_def_14, type, sK0: ($i > $o > $i)).
% 0.19/0.29 thf(f1,axiom,(
% 0.19/0.29 (inverse_THFTYPE_IIiioIIiioIoI @ husband_THFTYPE_IiioI @ wife_THFTYPE_IiioI)),
% 0.19/0.29 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax)).
% 0.19/0.29 thf(f2,axiom,(
% 0.19/0.29 ! [X0 : ($i > $i > $o),X1 : ($i > $i > $o)] : ((inverse_THFTYPE_IIiioIIiioIoI @ X1 @ X0) => ! [X2 : $i,X3 : $i] : ((X1 @ X2 @ X3) <=> (X0 @ X3 @ X2)))),
% 0.19/0.29 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_001)).
% 0.19/0.29 thf(f3,axiom,(
% 0.19/0.29 ! [X0 : $o,X1 : $i] : ((believes_THFTYPE_IiooI @ X1 @ X0) => ? [X2 : $i] : (holdsDuring_THFTYPE_IiooI @ X2 @ (considers_THFTYPE_IiooI @ X1 @ X0)))),
% 0.19/0.29 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_002)).
% 0.19/0.29 thf(f4,axiom,(
% 0.19/0.29 ! [X0 : $i] : (~ ? [X1 : $i] : (holdsDuring_THFTYPE_IiooI @ X1 @ (considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ (wife_THFTYPE_IiioI @ X0 @ lMax_THFTYPE_i))))),
% 0.19/0.29 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_003)).
% 0.19/0.29 thf(f5,conjecture,(
% 0.19/0.29 ? [X0 : $i] : (~ (believes_THFTYPE_IiooI @ lMax_THFTYPE_i @ (husband_THFTYPE_IiioI @ lMax_THFTYPE_i @ X0)))),
% 0.19/0.29 file('/export/starexec/sandbox/benchmark/theBenchmark.p',con)).
% 0.19/0.29 thf(f6,negated_conjecture,(
% 0.19/0.29 ~ ? [X0 : $i] : (~ (believes_THFTYPE_IiooI @ lMax_THFTYPE_i @ (husband_THFTYPE_IiioI @ lMax_THFTYPE_i @ X0)))),
% 0.19/0.29 inference(negated_conjecture,[status(cth)],[f5])).
% 0.19/0.29 thf(f7,plain,(
% 0.19/0.29 (inverse_THFTYPE_IIiioIIiioIoI @ husband_THFTYPE_IiioI @ wife_THFTYPE_IiioI)),
% 0.19/0.29 inference(rectify,[],[f1])).
% 0.19/0.29 thf(f8,plain,(
% 0.19/0.29 (((inverse_THFTYPE_IIiioIIiioIoI @ husband_THFTYPE_IiioI @ wife_THFTYPE_IiioI)) = $true)),
% 0.19/0.29 inference(fool_elimination,[],[f7])).
% 0.19/0.29 thf(f9,plain,(
% 0.19/0.29 ! [X0 : ($i > $i > $o),X1 : ($i > $i > $o)] : ((inverse_THFTYPE_IIiioIIiioIoI @ X1 @ X0) => ! [X2 : $i,X3 : $i] : ((X1 @ X2 @ X3) <=> (X0 @ X3 @ X2)))),
% 0.19/0.29 inference(rectify,[],[f2])).
% 0.19/0.29 thf(f10,plain,(
% 0.19/0.29 ! [X0 : ($i > $i > $o),X1 : ($i > $i > $o)] : ((((inverse_THFTYPE_IIiioIIiioIoI @ X1 @ X0)) = $true) => ! [X2 : $i,X3 : $i] : (((X1 @ X2 @ X3)) = ((X0 @ X3 @ X2))))),
% 0.19/0.29 inference(fool_elimination,[],[f9])).
% 0.19/0.29 thf(f11,plain,(
% 0.19/0.29 ! [X0 : $o,X1 : $i] : ((believes_THFTYPE_IiooI @ X1 @ X0) => ? [X2 : $i] : (holdsDuring_THFTYPE_IiooI @ X2 @ (considers_THFTYPE_IiooI @ X1 @ X0)))),
% 0.19/0.29 inference(rectify,[],[f3])).
% 0.19/0.29 thf(f12,plain,(
% 0.19/0.29 ! [X0 : $o,X1 : $i] : ((((believes_THFTYPE_IiooI @ X1 @ X0)) = $true) => ? [X2 : $i] : (((holdsDuring_THFTYPE_IiooI @ X2 @ (considers_THFTYPE_IiooI @ X1 @ X0))) = $true))),
% 0.19/0.29 inference(fool_elimination,[],[f11])).
% 0.19/0.29 thf(f13,plain,(
% 0.19/0.29 ! [X0 : $i] : (~ ? [X1 : $i] : (holdsDuring_THFTYPE_IiooI @ X1 @ (considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ (wife_THFTYPE_IiioI @ X0 @ lMax_THFTYPE_i))))),
% 0.19/0.29 inference(rectify,[],[f4])).
% 0.19/0.29 thf(f14,plain,(
% 0.19/0.29 ! [X0 : $i] : ($true = ((~ (?? @ $i @ (^[Y0 : $i]: (holdsDuring_THFTYPE_IiooI @ Y0 @ (considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ (wife_THFTYPE_IiioI @ X0 @ lMax_THFTYPE_i))))))))),
% 0.19/0.29 inference(fool_elimination,[],[f13])).
% 0.19/0.29 thf(f15,plain,(
% 0.19/0.29 ~ ? [X0 : $i] : (~ (believes_THFTYPE_IiooI @ lMax_THFTYPE_i @ (husband_THFTYPE_IiioI @ lMax_THFTYPE_i @ X0)))),
% 0.19/0.29 inference(rectify,[],[f6])).
% 0.19/0.29 thf(f16,plain,(
% 0.19/0.29 ~ ? [X0 : $i] : (((~ (believes_THFTYPE_IiooI @ lMax_THFTYPE_i @ (husband_THFTYPE_IiioI @ lMax_THFTYPE_i @ X0)))) = $true)),
% 0.19/0.29 inference(fool_elimination,[],[f15])).
% 0.19/0.29 thf(f17,plain,(
% 0.19/0.29 ! [X0 : ($i > $i > $o),X1 : ($i > $i > $o)] : (! [X2 : $i,X3 : $i] : (((X1 @ X2 @ X3)) = ((X0 @ X3 @ X2))) | (((inverse_THFTYPE_IIiioIIiioIoI @ X1 @ X0)) != $true))),
% 0.19/0.29 inference(ennf_transformation,[],[f10])).
% 0.19/0.29 thf(f18,plain,(
% 0.19/0.29 ! [X0 : $o,X1 : $i] : (? [X2 : $i] : (((holdsDuring_THFTYPE_IiooI @ X2 @ (considers_THFTYPE_IiooI @ X1 @ X0))) = $true) | (((believes_THFTYPE_IiooI @ X1 @ X0)) != $true))),
% 0.19/0.29 inference(ennf_transformation,[],[f12])).
% 0.19/0.29 thf(f19,plain,(
% 0.19/0.29 ! [X0 : $i] : (((~ (believes_THFTYPE_IiooI @ lMax_THFTYPE_i @ (husband_THFTYPE_IiioI @ lMax_THFTYPE_i @ X0)))) != $true)),
% 0.19/0.29 inference(ennf_transformation,[],[f16])).
% 0.19/0.29 thf(f20,plain,(
% 0.19/0.29 ! [X0 : $o,X1 : $i] : (($true = ((holdsDuring_THFTYPE_IiooI @ (sK0 @ X1 @ X0) @ (considers_THFTYPE_IiooI @ X1 @ X0)))) | (((believes_THFTYPE_IiooI @ X1 @ X0)) != $true))),
% 0.19/0.29 inference(skolemize,[status(esa),new_symbols(skolem,[vAPP]),skolemize(X2,sK0 @ X1 @ X0)],[f18])).
% 0.19/0.29 thf(f21,plain,(
% 0.19/0.29 (((inverse_THFTYPE_IIiioIIiioIoI @ husband_THFTYPE_IiioI @ wife_THFTYPE_IiioI)) = $true)),
% 0.19/0.29 inference(cnf_transformation,[],[f8])).
% 0.19/0.29 thf(f22,plain,(
% 0.19/0.29 ( ! [X2 : $i,X3 : $i,X0 : ($i > $i > $o),X1 : ($i > $i > $o)] : ((((X1 @ X2 @ X3)) = ((X0 @ X3 @ X2))) | (((inverse_THFTYPE_IIiioIIiioIoI @ X1 @ X0)) != $true)) )),
% 0.19/0.29 inference(cnf_transformation,[],[f17])).
% 0.19/0.29 thf(f23,plain,(
% 0.19/0.29 ( ! [X0 : $o,X1 : $i] : ((((believes_THFTYPE_IiooI @ X1 @ X0)) != $true) | ($true = ((holdsDuring_THFTYPE_IiooI @ (sK0 @ X1 @ X0) @ (considers_THFTYPE_IiooI @ X1 @ X0))))) )),
% 0.19/0.29 inference(cnf_transformation,[],[f20])).
% 0.19/0.29 thf(f24,plain,(
% 0.19/0.29 ( ! [X0 : $i] : (($true = ((~ (?? @ $i @ (^[Y0 : $i]: (holdsDuring_THFTYPE_IiooI @ Y0 @ (considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ (wife_THFTYPE_IiioI @ X0 @ lMax_THFTYPE_i))))))))) )),
% 0.19/0.29 inference(cnf_transformation,[],[f14])).
% 0.19/0.29 thf(f25,plain,(
% 0.19/0.29 ( ! [X0 : $i] : ((((~ (believes_THFTYPE_IiooI @ lMax_THFTYPE_i @ (husband_THFTYPE_IiioI @ lMax_THFTYPE_i @ X0)))) != $true)) )),
% 0.19/0.29 inference(cnf_transformation,[],[f19])).
% 0.19/0.29 thf(f27,definition,(
% 0.19/0.29 ( ! [X0 : $o] : (($true = X0) | ($false = X0)) )),
% 0.19/0.29 introduced(theory,[fool_exhaustiveness_axiom])).
% 0.19/0.29 thf(f28,plain,(
% 0.19/0.29 ( ! [X0 : $i] : ((((believes_THFTYPE_IiooI @ lMax_THFTYPE_i @ (husband_THFTYPE_IiioI @ lMax_THFTYPE_i @ X0))) = $true)) )),
% 0.19/0.29 inference(not_proxy_clausification,[],[f25])).
% 0.19/0.29 thf(f29,plain,(
% 0.19/0.29 ( ! [X0 : $i] : ((((?? @ $i @ (^[Y0 : $i]: (holdsDuring_THFTYPE_IiooI @ Y0 @ (considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ (wife_THFTYPE_IiioI @ X0 @ lMax_THFTYPE_i)))))) = $false)) )),
% 0.19/0.29 inference(not_proxy_clausification,[],[f24])).
% 0.19/0.29 thf(f30,plain,(
% 0.19/0.29 ( ! [X0 : $i,X1 : $i] : (($false = (((^[Y0 : $i]: (holdsDuring_THFTYPE_IiooI @ Y0 @ (considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ (wife_THFTYPE_IiioI @ X0 @ lMax_THFTYPE_i)))) @ X1)))) )),
% 0.19/0.29 inference(pi_proxy_clausification,[],[f29])).
% 0.19/0.29 thf(f31,plain,(
% 0.19/0.29 ( ! [X0 : $i,X1 : $i] : ((((holdsDuring_THFTYPE_IiooI @ X1 @ (considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ (wife_THFTYPE_IiioI @ X0 @ lMax_THFTYPE_i)))) = $false)) )),
% 0.19/0.29 inference(beta-eta_normalization,[],[f30])).
% 0.19/0.29 thf(f32,plain,(
% 0.19/0.29 ( ! [X2 : $i,X3 : $i,X0 : ($i > $i > $o),X1 : ($i > $i > $o)] : ((((inverse_THFTYPE_IIiioIIiioIoI @ X1 @ X0)) != $true) | (((X1 @ X2 @ X3)) = $true) | (((X0 @ X3 @ X2)) = $false)) )),
% 0.19/0.29 inference(iff_proxy_clausification,[],[f22])).
% 0.19/0.29 thf(f33,plain,(
% 0.19/0.29 ( ! [X2 : $i,X3 : $i,X0 : ($i > $i > $o),X1 : ($i > $i > $o)] : ((((inverse_THFTYPE_IIiioIIiioIoI @ X1 @ X0)) != $true) | (((X1 @ X2 @ X3)) = $false) | (((X0 @ X3 @ X2)) = $true)) )),
% 0.19/0.29 inference(iff_proxy_clausification,[],[f22])).
% 0.19/0.29 thf(f43,definition,(
% 0.19/0.29 spl1_1 <=> ! [X0 : $i] : (((husband_THFTYPE_IiioI @ lMax_THFTYPE_i @ X0)) = $false)),
% 0.19/0.29 introduced(definition,[new_symbols(definition,[spl1_1])],[avatar_definition])).
% 0.19/0.29 thf(f44,plain,(
% 0.19/0.29 ( ! [X0 : $i] : ((((husband_THFTYPE_IiioI @ lMax_THFTYPE_i @ X0)) = $false)) ) | ~spl1_1),
% 0.19/0.29 inference(avatar_component_clause,[],[f43])).
% 0.19/0.29 thf(f69,definition,(
% 0.19/0.29 spl1_6 <=> ! [X0 : $i] : ($false = ((holdsDuring_THFTYPE_IiooI @ X0 @ (considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ $true))))),
% 0.19/0.29 introduced(definition,[new_symbols(definition,[spl1_6])],[avatar_definition])).
% 0.19/0.29 thf(f70,plain,(
% 0.19/0.29 ( ! [X0 : $i] : (($false = ((holdsDuring_THFTYPE_IiooI @ X0 @ (considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ $true))))) ) | ~spl1_6),
% 0.19/0.29 inference(avatar_component_clause,[],[f69])).
% 0.19/0.29 thf(f88,plain,(
% 0.19/0.29 ( ! [X0 : $i] : (($true != $true) | ($true = ((holdsDuring_THFTYPE_IiooI @ (sK0 @ lMax_THFTYPE_i @ (husband_THFTYPE_IiioI @ lMax_THFTYPE_i @ X0)) @ (considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ (husband_THFTYPE_IiioI @ lMax_THFTYPE_i @ X0)))))) )),
% 0.19/0.29 inference(constrained_superposition,[],[f23,f28])).
% 0.19/0.29 thf(f91,plain,(
% 0.19/0.29 ( ! [X0 : $i,X1 : $o] : (($true != $true) | ($true = ((holdsDuring_THFTYPE_IiooI @ (sK0 @ X0 @ X1) @ (considers_THFTYPE_IiooI @ X0 @ X1)))) | ($false = ((believes_THFTYPE_IiooI @ X0 @ X1)))) )),
% 0.19/0.29 inference(constrained_superposition,[],[f23,f27])).
% 0.19/0.29 thf(f92,plain,(
% 0.19/0.29 ( ! [X0 : $i,X1 : $o] : (($true = ((holdsDuring_THFTYPE_IiooI @ (sK0 @ X0 @ X1) @ (considers_THFTYPE_IiooI @ X0 @ X1)))) | ($false = ((believes_THFTYPE_IiooI @ X0 @ X1)))) )),
% 0.19/0.29 inference(trivial_inequality_removal,[],[f91])).
% 0.19/0.29 thf(f95,plain,(
% 0.19/0.29 ( ! [X0 : $i] : (($true = ((holdsDuring_THFTYPE_IiooI @ (sK0 @ lMax_THFTYPE_i @ (husband_THFTYPE_IiioI @ lMax_THFTYPE_i @ X0)) @ (considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ (husband_THFTYPE_IiioI @ lMax_THFTYPE_i @ X0)))))) )),
% 0.19/0.29 inference(trivial_inequality_removal,[],[f88])).
% 0.19/0.29 thf(f199,plain,(
% 0.19/0.29 ($true = ((believes_THFTYPE_IiooI @ lMax_THFTYPE_i @ $false))) | ~spl1_1),
% 0.19/0.29 inference(constrained_superposition,[],[f28,f44])).
% 0.19/0.29 thf(f231,plain,(
% 0.19/0.29 ( ! [X0 : $i] : (($true = $false) | ($false = ((believes_THFTYPE_IiooI @ lMax_THFTYPE_i @ (wife_THFTYPE_IiioI @ X0 @ lMax_THFTYPE_i))))) )),
% 0.19/0.29 inference(constrained_superposition,[],[f31,f92])).
% 0.19/0.29 thf(f234,plain,(
% 0.19/0.29 ( ! [X0 : $i] : (($false = ((believes_THFTYPE_IiooI @ lMax_THFTYPE_i @ (wife_THFTYPE_IiioI @ X0 @ lMax_THFTYPE_i))))) )),
% 0.19/0.29 inference(trivial_inequality_removal,[],[f231])).
% 0.19/0.29 thf(f277,plain,(
% 0.19/0.29 ( ! [X0 : $o,X1 : $i] : (($false = ((holdsDuring_THFTYPE_IiooI @ X1 @ (considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ X0)))) | ($false = X0)) ) | ~spl1_6),
% 0.19/0.29 inference(constrained_superposition,[],[f70,f27])).
% 0.19/0.29 thf(f311,plain,(
% 0.19/0.29 ( ! [X0 : $i] : (($true = $false) | (((husband_THFTYPE_IiioI @ lMax_THFTYPE_i @ X0)) = $false)) ) | ~spl1_6),
% 0.19/0.29 inference(constrained_superposition,[],[f95,f277])).
% 0.19/0.29 thf(f318,plain,(
% 0.19/0.29 ( ! [X0 : $i] : ((((husband_THFTYPE_IiioI @ lMax_THFTYPE_i @ X0)) = $false)) ) | ~spl1_6),
% 0.19/0.29 inference(trivial_inequality_removal,[],[f311])).
% 0.19/0.29 thf(f332,plain,(
% 0.19/0.29 ( ! [X0 : $i,X1 : $i] : (($true != $true) | ($true = ((husband_THFTYPE_IiioI @ X0 @ X1))) | ($false = ((wife_THFTYPE_IiioI @ X1 @ X0)))) )),
% 0.19/0.29 inference(constrained_superposition,[],[f32,f21])).
% 0.19/0.29 thf(f335,plain,(
% 0.19/0.29 ( ! [X0 : $i,X1 : $i] : (($true = ((husband_THFTYPE_IiioI @ X0 @ X1))) | ($false = ((wife_THFTYPE_IiioI @ X1 @ X0)))) )),
% 0.19/0.29 inference(trivial_inequality_removal,[],[f332])).
% 0.19/0.29 thf(f337,plain,(
% 0.19/0.29 ( ! [X0 : $i] : (($false = ((believes_THFTYPE_IiooI @ lMax_THFTYPE_i @ $false))) | (((husband_THFTYPE_IiioI @ lMax_THFTYPE_i @ X0)) = $true)) )),
% 0.19/0.29 inference(constrained_superposition,[],[f234,f335])).
% 0.19/0.29 thf(f342,definition,(
% 0.19/0.29 spl1_13 <=> ! [X1 : $i] : ($true = ((husband_THFTYPE_IiioI @ lMax_THFTYPE_i @ X1)))),
% 0.19/0.29 introduced(definition,[new_symbols(definition,[spl1_13])],[avatar_definition])).
% 0.19/0.29 thf(f343,plain,(
% 0.19/0.29 ( ! [X1 : $i] : (($true = ((husband_THFTYPE_IiioI @ lMax_THFTYPE_i @ X1)))) ) | ~spl1_13),
% 0.19/0.29 inference(avatar_component_clause,[],[f342])).
% 0.19/0.29 thf(f350,definition,(
% 0.19/0.29 spl1_15 <=> ($false = ((believes_THFTYPE_IiooI @ lMax_THFTYPE_i @ $false)))),
% 0.19/0.29 introduced(definition,[new_symbols(definition,[spl1_15])],[avatar_definition])).
% 0.19/0.29 thf(f352,plain,(
% 0.19/0.29 ($false = ((believes_THFTYPE_IiooI @ lMax_THFTYPE_i @ $false))) | ~spl1_15),
% 0.19/0.29 inference(avatar_component_clause,[],[f350])).
% 0.19/0.29 thf(f353,plain,(
% 0.19/0.29 spl1_13 | spl1_15),
% 0.19/0.29 inference(avatar_split_clause,[],[f337,f350,f342])).
% 0.19/0.29 thf(f365,plain,(
% 0.19/0.29 ($true = $false) | (~spl1_1 | ~spl1_13)),
% 0.19/0.29 inference(constrained_superposition,[],[f343,f44])).
% 0.19/0.29 thf(f373,plain,(
% 0.19/0.29 $false | (~spl1_1 | ~spl1_13)),
% 0.19/0.29 inference(trivial_inequality_removal,[],[f365])).
% 0.19/0.29 thf(f374,plain,(
% 0.19/0.29 ~spl1_1 | ~spl1_13),
% 0.19/0.29 inference(avatar_contradiction_clause,[],[f373])).
% 0.19/0.29 thf(f444,plain,(
% 0.19/0.29 ($true = $false) | (~spl1_1 | ~spl1_15)),
% 0.19/0.29 inference(constrained_superposition,[],[f352,f199])).
% 0.19/0.29 thf(f451,plain,(
% 0.19/0.29 $false | (~spl1_1 | ~spl1_15)),
% 0.19/0.29 inference(trivial_inequality_removal,[],[f444])).
% 0.19/0.29 thf(f452,plain,(
% 0.19/0.29 ~spl1_1 | ~spl1_15),
% 0.19/0.29 inference(avatar_contradiction_clause,[],[f451])).
% 0.19/0.29 thf(f470,plain,(
% 0.19/0.29 spl1_1 | ~spl1_6),
% 0.19/0.29 inference(avatar_split_clause,[],[f318,f69,f43])).
% 0.19/0.29 thf(f589,plain,(
% 0.19/0.29 ( ! [X0 : $i,X1 : $i] : (($true != $true) | ($false = ((husband_THFTYPE_IiioI @ X0 @ X1))) | ($true = ((wife_THFTYPE_IiioI @ X1 @ X0)))) )),
% 0.19/0.29 inference(constrained_superposition,[],[f33,f21])).
% 0.19/0.29 thf(f592,plain,(
% 0.19/0.29 ( ! [X0 : $i,X1 : $i] : (($false = ((husband_THFTYPE_IiioI @ X0 @ X1))) | ($true = ((wife_THFTYPE_IiioI @ X1 @ X0)))) )),
% 0.19/0.29 inference(trivial_inequality_removal,[],[f589])).
% 0.19/0.29 thf(f600,plain,(
% 0.19/0.29 ( ! [X0 : $i,X1 : $i] : (($false = ((holdsDuring_THFTYPE_IiooI @ X0 @ (considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ $true)))) | ($false = ((husband_THFTYPE_IiioI @ lMax_THFTYPE_i @ X1)))) )),
% 0.19/0.29 inference(constrained_superposition,[],[f31,f592])).
% 0.19/0.29 thf(f609,plain,(
% 0.19/0.29 spl1_1 | spl1_6),
% 0.19/0.29 inference(avatar_split_clause,[],[f600,f69,f43])).
% 0.19/0.29 cnf(s15, plain, spl1_13 | spl1_15, inference(sat_conversion,[],[f353])).
% 0.19/0.29 cnf(s19, plain, ~spl1_1 | ~spl1_13, inference(sat_conversion,[],[f374])).
% 0.19/0.29 cnf(s36, plain, ~spl1_1 | ~spl1_15, inference(sat_conversion,[],[f452])).
% 0.19/0.29 cnf(s50, plain, spl1_1 | ~spl1_6, inference(sat_conversion,[],[f470])).
% 0.19/0.29 cnf(s56, plain, spl1_1 | spl1_6, inference(sat_conversion,[],[f609])).
% 0.19/0.29 cnf(s60, plain, spl1_1, inference(rat,[],[s50,s56])).
% 0.19/0.29 cnf(s61, plain, ~spl1_15, inference(rat,[],[s36,s60])).
% 0.19/0.29 cnf(s62, plain, ~spl1_13, inference(rat,[],[s19,s60])).
% 0.19/0.29 cnf(s64, plain, $false, inference(rat,[],[s15,s61,s62])).
% 0.19/0.29 thf(f612,plain,(
% 0.19/0.29 $false),
% 0.19/0.29 inference(avatar_sat_refutation,[],[s64])).
% 0.19/0.29 % SZS output end Proof for theBenchmark
% 0.19/0.29 % (3211466)------------------------------
% 0.19/0.29 % (3211466)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.29 % (3211466)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.29 % (3211466)CaDiCaL version: 2.1.3
% 0.19/0.29 % (3211466)Termination reason: Refutation
% 0.19/0.29 % (3211466)Time elapsed: 0.017 s
% 0.19/0.29 % (3211466)Peak memory usage: 13 MB
% 0.19/0.29 % (3211466)Instructions burned: 55 (million)
% 0.19/0.29 % (3211455)Success in time 0.056 s
% 0.19/0.29 % Vampire exiting
%------------------------------------------------------------------------------