%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : HWV019-2 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n017.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 : Fri Sep 25 01:38:00 PM UTC 2026
% Result : Unsatisfiable 22.45s 3.38s
% Output : Proof 22.45s
% Verified :
% Comments :
%------------------------------------------------------------------------------
cnf(t167,axiom,
sF3 = p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)),
introduced(definition) ).
cnf(t166,axiom,
sF2 = fwork_DOTfifo_DOTrtl_DOTwr_(t_206),
introduced(definition) ).
cnf(t181,plain,
fwork_DOTfifo_DOTrtl_DOTwr_(t_206) = sF2,
inference(orient,[status(thm)],[t166]) ).
cnf(t20503,plain,
sF3 = p__pred_(sF2),
inference(step,[status(thm)],[t167,t181]) ).
cnf(f135,negated_conjecture,
p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_3) ).
fof(f135_nnf,plain,
p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)),
inference(nnf_transformation,[status(thm)],[f135]) ).
cnf(c135,plain,
p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)),
inference(cnf_transformation,[status(esa)],[f135_nnf]) ).
cnf(t15,plain,
p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)) = true,
inference(equality_encoding,[status(esa)],[c135]) ).
cnf(t20489,plain,
p__pred_(sF2) = true,
inference(step,[status(thm)],[t15,t181]) ).
cnf(t192,plain,
p__pred_(sF2) = true,
inference(orient,[status(thm)],[t20489]) ).
cnf(t20504,plain,
sF3 = true,
inference(step,[status(thm)],[t20503,t192]) ).
cnf(t207,plain,
true = sF3,
inference(orient,[status(thm)],[t20504]) ).
cnf(f39,axiom,
( p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(f_ADD_(T_13,n1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_41) ).
fof(f39_nnf,plain,
! [T_13] :
( p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(f_ADD_(T_13,n1))) ),
inference(nnf_transformation,[status(thm)],[f39]) ).
fof(f39_sk,plain,
! [T_13] :
( p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(f_ADD_(T_13,n1))) ),
inference(skolemisation,[status(esa)],[f39_nnf]) ).
cnf(c39,plain,
( p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X0))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X0))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X0))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(f_ADD_(X0,n1))) ),
inference(cnf_transformation,[status(esa)],[f39_sk]) ).
cnf(t126,plain,
ifeq(p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(f_ADD_(X1,n1))),true,ifeq(p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X1)),true,ifeq(p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X1)),true,p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X1)),true),true),true) = true,
inference(equality_encoding,[status(esa)],[c39]) ).
cnf(t21467,plain,
ifeq(p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(f_ADD_(X1,n1))),sF3,ifeq(p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X1)),true,ifeq(p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X1)),true,p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X1)),true),true),true) = true,
inference(step,[status(thm)],[t126,t207]) ).
cnf(t21468,plain,
ifeq(p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(f_ADD_(X1,n1))),sF3,ifeq(p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X1)),sF3,ifeq(p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X1)),true,p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X1)),true),true),true) = true,
inference(step,[status(thm)],[t21467,t207]) ).
cnf(t21469,plain,
ifeq(p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(f_ADD_(X1,n1))),sF3,ifeq(p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X1)),sF3,ifeq(p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X1)),sF3,p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X1)),true),true),true) = true,
inference(step,[status(thm)],[t21468,t207]) ).
cnf(t21470,plain,
ifeq(p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(f_ADD_(X1,n1))),sF3,ifeq(p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X1)),sF3,ifeq(p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X1)),sF3,p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X1)),sF3),true),true) = true,
inference(step,[status(thm)],[t21469,t207]) ).
cnf(t21471,plain,
ifeq(p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(f_ADD_(X1,n1))),sF3,ifeq(p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X1)),sF3,ifeq(p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X1)),sF3,p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X1)),sF3),sF3),true) = true,
inference(step,[status(thm)],[t21470,t207]) ).
cnf(t21472,plain,
ifeq(p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(f_ADD_(X1,n1))),sF3,ifeq(p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X1)),sF3,ifeq(p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X1)),sF3,p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X1)),sF3),sF3),sF3) = true,
inference(step,[status(thm)],[t21471,t207]) ).
cnf(t21473,plain,
ifeq(p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(f_ADD_(X1,n1))),sF3,ifeq(p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X1)),sF3,ifeq(p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X1)),sF3,p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X1)),sF3),sF3),sF3) = sF3,
inference(step,[status(thm)],[t21472,t207]) ).
cnf(t17226,plain,
ifeq(p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(f_ADD_(X1,n1))),sF3,ifeq(p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X1)),sF3,ifeq(p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X1)),sF3,p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X1)),sF3),sF3),sF3) = sF3,
inference(orient,[status(thm)],[t21473]) ).
cnf(f20,axiom,
( p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))
| p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTint__level_(T_13))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(f_ADD_(T_13,n1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_22) ).
fof(f20_nnf,plain,
! [T_13] :
( p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))
| p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTint__level_(T_13))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(f_ADD_(T_13,n1))) ),
inference(nnf_transformation,[status(thm)],[f20]) ).
fof(f20_sk,plain,
! [T_13] :
( p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))
| p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTint__level_(T_13))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(f_ADD_(T_13,n1))) ),
inference(skolemisation,[status(esa)],[f20_nnf]) ).
cnf(c20,plain,
( p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X0))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X0))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X0))
| p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTint__level_(X0))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(f_ADD_(X0,n1))) ),
inference(cnf_transformation,[status(esa)],[f20_sk]) ).
cnf(t133,plain,
ifeq(p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(f_ADD_(X1,n1))),true,ifeq(p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X1)),true,or(p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTint__level_(X1)),or(p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X1)),p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X1)))),true),true) = true,
inference(equality_encoding,[status(esa)],[c20]) ).
cnf(t21570,plain,
ifeq(p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(f_ADD_(X1,n1))),sF3,ifeq(p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X1)),true,or(p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTint__level_(X1)),or(p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X1)),p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X1)))),true),true) = true,
inference(step,[status(thm)],[t133,t207]) ).
cnf(t21571,plain,
ifeq(p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(f_ADD_(X1,n1))),sF3,ifeq(p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X1)),sF3,or(p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTint__level_(X1)),or(p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X1)),p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X1)))),true),true) = true,
inference(step,[status(thm)],[t21570,t207]) ).
cnf(t21572,plain,
ifeq(p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(f_ADD_(X1,n1))),sF3,ifeq(p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X1)),sF3,or(p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTint__level_(X1)),or(p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X1)),p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X1)))),sF3),true) = true,
inference(step,[status(thm)],[t21571,t207]) ).
cnf(t21573,plain,
ifeq(p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(f_ADD_(X1,n1))),sF3,ifeq(p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X1)),sF3,or(p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTint__level_(X1)),or(p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X1)),p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X1)))),sF3),sF3) = true,
inference(step,[status(thm)],[t21572,t207]) ).
cnf(t21574,plain,
ifeq(p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(f_ADD_(X1,n1))),sF3,ifeq(p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X1)),sF3,or(p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTint__level_(X1)),or(p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X1)),p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X1)))),sF3),sF3) = sF3,
inference(step,[status(thm)],[t21573,t207]) ).
cnf(t19481,plain,
ifeq(p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(f_ADD_(X1,n1))),sF3,ifeq(p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X1)),sF3,or(p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTint__level_(X1)),or(p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X1)),p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X1)))),sF3),sF3) = sF3,
inference(orient,[status(thm)],[t21574]) ).
cnf(t164,axiom,
sF0 = fwork_DOTfifo_DOTrtl_DOTreset_(t_206),
introduced(definition) ).
cnf(t180,plain,
fwork_DOTfifo_DOTrtl_DOTreset_(t_206) = sF0,
inference(orient,[status(thm)],[t164]) ).
cnf(t19482,plain,
sF3 = ifeq(p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(f_ADD_(t_206,n1))),sF3,ifeq(p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)),sF3,or(p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTint__level_(t_206)),or(p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206)),p__pred_(sF0))),sF3),sF3),
inference(cp,[status(thm)],[t19481,t180]) ).
cnf(t170,axiom,
sF6 = f_ADD_(t_206,n1),
introduced(definition) ).
cnf(t222,plain,
f_ADD_(t_206,n1) = sF6,
inference(orient,[status(thm)],[t170]) ).
cnf(t21575,plain,
sF3 = ifeq(p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(sF6)),sF3,ifeq(p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)),sF3,or(p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTint__level_(t_206)),or(p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206)),p__pred_(sF0))),sF3),sF3),
inference(step,[status(thm)],[t19482,t222]) ).
cnf(t171,axiom,
sF7 = fwork_DOTfifo_DOTrtl_DOTwr__error_(f_ADD_(t_206,n1)),
introduced(definition) ).
cnf(t20523,plain,
sF7 = fwork_DOTfifo_DOTrtl_DOTwr__error_(sF6),
inference(step,[status(thm)],[t171,t222]) ).
cnf(t237,plain,
fwork_DOTfifo_DOTrtl_DOTwr__error_(sF6) = sF7,
inference(orient,[status(thm)],[t20523]) ).
cnf(t21576,plain,
sF3 = ifeq(p__pred_(sF7),sF3,ifeq(p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)),sF3,or(p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTint__level_(t_206)),or(p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206)),p__pred_(sF0))),sF3),sF3),
inference(step,[status(thm)],[t21575,t237]) ).
cnf(f133,negated_conjecture,
p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(f_ADD_(t_206,n1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_1) ).
fof(f133_nnf,plain,
p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(f_ADD_(t_206,n1))),
inference(nnf_transformation,[status(thm)],[f133]) ).
cnf(c133,plain,
p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(f_ADD_(t_206,n1))),
inference(cnf_transformation,[status(esa)],[f133_nnf]) ).
cnf(t22,plain,
p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(f_ADD_(t_206,n1))) = true,
inference(equality_encoding,[status(esa)],[c133]) ).
cnf(t20528,plain,
p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(sF6)) = true,
inference(step,[status(thm)],[t22,t222]) ).
cnf(t20529,plain,
p__pred_(sF7) = true,
inference(step,[status(thm)],[t20528,t237]) ).
cnf(t20530,plain,
p__pred_(sF7) = sF3,
inference(step,[status(thm)],[t20529,t207]) ).
cnf(t245,plain,
p__pred_(sF7) = sF3,
inference(orient,[status(thm)],[t20530]) ).
cnf(t21577,plain,
sF3 = ifeq(sF3,sF3,ifeq(p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)),sF3,or(p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTint__level_(t_206)),or(p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206)),p__pred_(sF0))),sF3),sF3),
inference(step,[status(thm)],[t21576,t245]) ).
cnf(t19,plain,
ifeq(X1,X1,X2,X3) = X2,
introduced(definition) ).
cnf(t238,plain,
ifeq(X1,X1,X2,X3) = X2,
inference(orient,[status(thm)],[t19]) ).
cnf(t21578,plain,
sF3 = ifeq(p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)),sF3,or(p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTint__level_(t_206)),or(p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206)),p__pred_(sF0))),sF3),
inference(step,[status(thm)],[t21577,t238]) ).
cnf(t21579,plain,
sF3 = ifeq(p__pred_(sF2),sF3,or(p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTint__level_(t_206)),or(p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206)),p__pred_(sF0))),sF3),
inference(step,[status(thm)],[t21578,t181]) ).
cnf(t20512,plain,
p__pred_(sF2) = sF3,
inference(step,[status(thm)],[t192,t207]) ).
cnf(t217,plain,
p__pred_(sF2) = sF3,
inference(orient,[status(thm)],[t20512]) ).
cnf(t21580,plain,
sF3 = ifeq(sF3,sF3,or(p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTint__level_(t_206)),or(p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206)),p__pred_(sF0))),sF3),
inference(step,[status(thm)],[t21579,t217]) ).
cnf(t21581,plain,
sF3 = or(p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTint__level_(t_206)),or(p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206)),p__pred_(sF0))),
inference(step,[status(thm)],[t21580,t238]) ).
cnf(t168,axiom,
sF4 = fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),
introduced(definition) ).
cnf(t182,plain,
fwork_DOTfifo_DOTrtl_DOTint__level_(t_206) = sF4,
inference(orient,[status(thm)],[t168]) ).
cnf(t21582,plain,
sF3 = or(p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,sF4),or(p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206)),p__pred_(sF0))),
inference(step,[status(thm)],[t21581,t182]) ).
cnf(f136,negated_conjecture,
~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTlevel_(t_206)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_4) ).
fof(f136_nnf,plain,
~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTlevel_(t_206)),
inference(nnf_transformation,[status(thm)],[f136]) ).
fof(f136_sk,plain,
~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTlevel_(t_206)),
inference(skolemisation,[status(esa)],[f136_nnf]) ).
cnf(c136,plain,
~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTlevel_(t_206)),
inference(cnf_transformation,[status(esa)],[f136_sk]) ).
cnf(u1,axiom,
p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTlevel_(t_206)) = false,
inference(equality_encoding,[status(esa)],[c136]) ).
cnf(f3,axiom,
fwork_DOTfifo_DOTrtl_DOTlevel_(T_0) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).
fof(f3_nnf,plain,
! [T_0] : fwork_DOTfifo_DOTrtl_DOTlevel_(T_0) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_0),
inference(nnf_transformation,[status(thm)],[f3]) ).
fof(f3_sk,plain,
! [T_0] : fwork_DOTfifo_DOTrtl_DOTlevel_(T_0) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_0),
inference(skolemisation,[status(esa)],[f3_nnf]) ).
cnf(c3,plain,
fwork_DOTfifo_DOTrtl_DOTlevel_(X0) = fwork_DOTfifo_DOTrtl_DOTint__level_(X0),
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(d0,axiom,
fwork_DOTfifo_DOTrtl_DOTlevel_(X0) = fwork_DOTfifo_DOTrtl_DOTint__level_(X0),
inference(equality_encoding,[status(esa)],[c3]) ).
cnf(t17,plain,
p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTint__level_(t_206)) = false,
inference(definition_unfolding,[status(thm)],[u1,d0]) ).
cnf(t20518,plain,
p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,sF4) = false,
inference(step,[status(thm)],[t17,t182]) ).
cnf(t165,axiom,
sF1 = p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)),
introduced(definition) ).
cnf(t20490,plain,
sF1 = p__pred_(sF0),
inference(step,[status(thm)],[t165,t180]) ).
cnf(f134,negated_conjecture,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_2) ).
fof(f134_nnf,plain,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)),
inference(nnf_transformation,[status(thm)],[f134]) ).
fof(f134_sk,plain,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)),
inference(skolemisation,[status(esa)],[f134_nnf]) ).
cnf(c134,plain,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)),
inference(cnf_transformation,[status(esa)],[f134_sk]) ).
cnf(t14,plain,
p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)) = false,
inference(equality_encoding,[status(esa)],[c134]) ).
cnf(t20488,plain,
p__pred_(sF0) = false,
inference(step,[status(thm)],[t14,t180]) ).
cnf(t191,plain,
p__pred_(sF0) = false,
inference(orient,[status(thm)],[t20488]) ).
cnf(t20491,plain,
sF1 = false,
inference(step,[status(thm)],[t20490,t191]) ).
cnf(t193,plain,
false = sF1,
inference(orient,[status(thm)],[t20491]) ).
cnf(t20519,plain,
p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,sF4) = sF1,
inference(step,[status(thm)],[t20518,t193]) ).
cnf(t227,plain,
p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,sF4) = sF1,
inference(orient,[status(thm)],[t20519]) ).
cnf(t21583,plain,
sF3 = or(sF1,or(p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206)),p__pred_(sF0))),
inference(step,[status(thm)],[t21582,t227]) ).
cnf(t11,plain,
or(false,X1) = X1,
introduced(definition) ).
cnf(t188,plain,
or(false,X1) = X1,
inference(orient,[status(thm)],[t11]) ).
cnf(t20500,plain,
or(sF1,X1) = X1,
inference(step,[status(thm)],[t188,t193]) ).
cnf(t202,plain,
or(sF1,X1) = X1,
inference(rw,[status(thm)],[t20500]) ).
cnf(t224,plain,
or(sF1,X1) = X1,
inference(orient,[status(thm)],[t202]) ).
cnf(t21584,plain,
sF3 = or(p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206)),p__pred_(sF0)),
inference(step,[status(thm)],[t21583,t224]) ).
cnf(t20501,plain,
p__pred_(sF0) = sF1,
inference(step,[status(thm)],[t191,t193]) ).
cnf(t203,plain,
p__pred_(sF0) = sF1,
inference(orient,[status(thm)],[t20501]) ).
cnf(t21585,plain,
sF3 = or(p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206)),sF1),
inference(step,[status(thm)],[t21584,t203]) ).
cnf(t9,plain,
or(X1,false) = X1,
introduced(definition) ).
cnf(t186,plain,
or(X1,false) = X1,
inference(orient,[status(thm)],[t9]) ).
cnf(t20499,plain,
or(X1,sF1) = X1,
inference(step,[status(thm)],[t186,t193]) ).
cnf(t201,plain,
or(X1,sF1) = X1,
inference(rw,[status(thm)],[t20499]) ).
cnf(t223,plain,
or(X1,sF1) = X1,
inference(orient,[status(thm)],[t201]) ).
cnf(t21586,plain,
sF3 = p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206)),
inference(step,[status(thm)],[t21585,t223]) ).
cnf(t19486,plain,
p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206)) = sF3,
inference(orient,[status(thm)],[t21586]) ).
cnf(t19515,plain,
sF3 = ifeq(p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(f_ADD_(t_206,n1))),sF3,ifeq(sF3,sF3,ifeq(p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)),sF3,p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)),sF3),sF3),sF3),
inference(cp,[status(thm)],[t17226,t19486]) ).
cnf(t21587,plain,
sF3 = ifeq(p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(sF6)),sF3,ifeq(sF3,sF3,ifeq(p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)),sF3,p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)),sF3),sF3),sF3),
inference(step,[status(thm)],[t19515,t222]) ).
cnf(t21588,plain,
sF3 = ifeq(p__pred_(sF7),sF3,ifeq(sF3,sF3,ifeq(p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)),sF3,p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)),sF3),sF3),sF3),
inference(step,[status(thm)],[t21587,t237]) ).
cnf(t21589,plain,
sF3 = ifeq(sF3,sF3,ifeq(sF3,sF3,ifeq(p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)),sF3,p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)),sF3),sF3),sF3),
inference(step,[status(thm)],[t21588,t245]) ).
cnf(t21590,plain,
sF3 = ifeq(sF3,sF3,ifeq(p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)),sF3,p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)),sF3),sF3),
inference(step,[status(thm)],[t21589,t238]) ).
cnf(t21591,plain,
sF3 = ifeq(p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)),sF3,p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)),sF3),
inference(step,[status(thm)],[t21590,t238]) ).
cnf(t21592,plain,
sF3 = ifeq(p__pred_(sF2),sF3,p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)),sF3),
inference(step,[status(thm)],[t21591,t181]) ).
cnf(t21593,plain,
sF3 = ifeq(sF3,sF3,p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)),sF3),
inference(step,[status(thm)],[t21592,t217]) ).
cnf(t21594,plain,
sF3 = p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)),
inference(step,[status(thm)],[t21593,t238]) ).
cnf(t21595,plain,
sF3 = p__pred_(sF0),
inference(step,[status(thm)],[t21594,t180]) ).
cnf(t21596,plain,
sF3 = sF1,
inference(step,[status(thm)],[t21595,t203]) ).
cnf(t19516,plain,
sF3 = sF1,
inference(orient,[status(thm)],[t21596]) ).
cnf(t21607,plain,
true = sF1,
inference(step,[status(thm)],[t207,t19516]) ).
cnf(t19527,plain,
true = sF1,
inference(orient,[status(thm)],[t21607]) ).
cnf(f11,axiom,
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_5))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(f_ADD_(T_5,n1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_13) ).
fof(f11_nnf,plain,
! [T_5] :
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_5))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(f_ADD_(T_5,n1))) ),
inference(nnf_transformation,[status(thm)],[f11]) ).
fof(f11_sk,plain,
! [T_5] :
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_5))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(f_ADD_(T_5,n1))) ),
inference(skolemisation,[status(esa)],[f11_nnf]) ).
cnf(c11,plain,
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X0))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(f_ADD_(X0,n1))) ),
inference(cnf_transformation,[status(esa)],[f11_sk]) ).
cnf(f12,axiom,
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_5))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(T_5,n1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_14) ).
fof(f12_nnf,plain,
! [T_5] :
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_5))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(T_5,n1))) ),
inference(nnf_transformation,[status(thm)],[f12]) ).
fof(f12_sk,plain,
! [T_5] :
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_5))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(T_5,n1))) ),
inference(skolemisation,[status(esa)],[f12_nnf]) ).
cnf(c12,plain,
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X0))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(X0,n1))) ),
inference(cnf_transformation,[status(esa)],[f12_sk]) ).
cnf(f13,axiom,
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_5))
| ~ p_LES_EQU_(I1_6,f_SUB_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,n1))
| ~ p_LES_EQU_(n0,I1_6)
| ~ p_LES_EQU_(I2_7,f_SUB_(fwork_DOTfifo_DOTrtl_DOTfifo__width_,n1))
| ~ p_LES_EQU_(n0,I2_7)
| ~ p__pred_(f__index_(f__index_(fwork_DOTfifo_DOTrtl_DOTmem_(f_ADD_(T_5,n1)),I1_6),I2_7)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_15) ).
fof(f13_nnf,plain,
! [T_5,I1_6,I2_7] :
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_5))
| ~ p_LES_EQU_(I1_6,f_SUB_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,n1))
| ~ p_LES_EQU_(n0,I1_6)
| ~ p_LES_EQU_(I2_7,f_SUB_(fwork_DOTfifo_DOTrtl_DOTfifo__width_,n1))
| ~ p_LES_EQU_(n0,I2_7)
| ~ p__pred_(f__index_(f__index_(fwork_DOTfifo_DOTrtl_DOTmem_(f_ADD_(T_5,n1)),I1_6),I2_7)) ),
inference(nnf_transformation,[status(thm)],[f13]) ).
fof(f13_sk,plain,
! [T_5,I1_6,I2_7] :
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_5))
| ~ p_LES_EQU_(I1_6,f_SUB_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,n1))
| ~ p_LES_EQU_(n0,I1_6)
| ~ p_LES_EQU_(I2_7,f_SUB_(fwork_DOTfifo_DOTrtl_DOTfifo__width_,n1))
| ~ p_LES_EQU_(n0,I2_7)
| ~ p__pred_(f__index_(f__index_(fwork_DOTfifo_DOTrtl_DOTmem_(f_ADD_(T_5,n1)),I1_6),I2_7)) ),
inference(skolemisation,[status(esa)],[f13_nnf]) ).
cnf(c13,plain,
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X0))
| ~ p_LES_EQU_(X1,f_SUB_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,n1))
| ~ p_LES_EQU_(n0,X1)
| ~ p_LES_EQU_(X2,f_SUB_(fwork_DOTfifo_DOTrtl_DOTfifo__width_,n1))
| ~ p_LES_EQU_(n0,X2)
| ~ p__pred_(f__index_(f__index_(fwork_DOTfifo_DOTrtl_DOTmem_(f_ADD_(X0,n1)),X1),X2)) ),
inference(cnf_transformation,[status(esa)],[f13_sk]) ).
cnf(f14,axiom,
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_5))
| ~ p_LES_EQU_(I1_10,f_SUB_(fwork_DOTfifo_DOTrtl_DOTfifo__width_,n1))
| ~ p_LES_EQU_(n0,I1_10)
| ~ p__pred_(f__index_(fwork_DOTfifo_DOTrtl_DOTdata__out_(f_ADD_(T_5,n1)),I1_10)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_16) ).
fof(f14_nnf,plain,
! [T_5,I1_10] :
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_5))
| ~ p_LES_EQU_(I1_10,f_SUB_(fwork_DOTfifo_DOTrtl_DOTfifo__width_,n1))
| ~ p_LES_EQU_(n0,I1_10)
| ~ p__pred_(f__index_(fwork_DOTfifo_DOTrtl_DOTdata__out_(f_ADD_(T_5,n1)),I1_10)) ),
inference(nnf_transformation,[status(thm)],[f14]) ).
fof(f14_sk,plain,
! [T_5,I1_10] :
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_5))
| ~ p_LES_EQU_(I1_10,f_SUB_(fwork_DOTfifo_DOTrtl_DOTfifo__width_,n1))
| ~ p_LES_EQU_(n0,I1_10)
| ~ p__pred_(f__index_(fwork_DOTfifo_DOTrtl_DOTdata__out_(f_ADD_(T_5,n1)),I1_10)) ),
inference(skolemisation,[status(esa)],[f14_nnf]) ).
cnf(c14,plain,
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X0))
| ~ p_LES_EQU_(X1,f_SUB_(fwork_DOTfifo_DOTrtl_DOTfifo__width_,n1))
| ~ p_LES_EQU_(n0,X1)
| ~ p__pred_(f__index_(fwork_DOTfifo_DOTrtl_DOTdata__out_(f_ADD_(X0,n1)),X1)) ),
inference(cnf_transformation,[status(esa)],[f14_sk]) ).
cnf(f57,axiom,
f_ADD_(X_80,n1) != n0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_59) ).
fof(f57_nnf,plain,
! [X_80] : f_ADD_(X_80,n1) != n0,
inference(nnf_transformation,[status(thm)],[f57]) ).
fof(f57_sk,plain,
! [X_80] : f_ADD_(X_80,n1) != n0,
inference(skolemisation,[status(esa)],[f57_nnf]) ).
cnf(c57,plain,
f_ADD_(X0,n1) != n0,
inference(cnf_transformation,[status(esa)],[f57_sk]) ).
cnf(f58,axiom,
~ p_LES_EQU_(f_ADD_(X_81,n1),n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_60) ).
fof(f58_nnf,plain,
! [X_81] : ~ p_LES_EQU_(f_ADD_(X_81,n1),n0),
inference(nnf_transformation,[status(thm)],[f58]) ).
fof(f58_sk,plain,
! [X_81] : ~ p_LES_EQU_(f_ADD_(X_81,n1),n0),
inference(skolemisation,[status(esa)],[f58_nnf]) ).
cnf(c58,plain,
~ p_LES_EQU_(f_ADD_(X0,n1),n0),
inference(cnf_transformation,[status(esa)],[f58_sk]) ).
cnf(f62,axiom,
( ~ def_89(Y_84,X_83)
| X_83 != Y_84 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_64) ).
fof(f62_nnf,plain,
! [X_83,Y_84] :
( ~ def_89(Y_84,X_83)
| X_83 != Y_84 ),
inference(nnf_transformation,[status(thm)],[f62]) ).
fof(f62_sk,plain,
! [X_83,Y_84] :
( ~ def_89(Y_84,X_83)
| X_83 != Y_84 ),
inference(skolemisation,[status(esa)],[f62_nnf]) ).
cnf(c62,plain,
( ~ def_89(X1,X0)
| X0 != X1 ),
inference(cnf_transformation,[status(esa)],[f62_sk]) ).
cnf(f95,axiom,
~ p__pred_(f__false_),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_97) ).
fof(f95_nnf,plain,
~ p__pred_(f__false_),
inference(nnf_transformation,[status(thm)],[f95]) ).
fof(f95_sk,plain,
~ p__pred_(f__false_),
inference(skolemisation,[status(esa)],[f95_nnf]) ).
cnf(c95,plain,
~ p__pred_(f__false_),
inference(cnf_transformation,[status(esa)],[f95_sk]) ).
cnf(f96,axiom,
f__false_ != f__true_,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_98) ).
fof(f96_nnf,plain,
f__false_ != f__true_,
inference(nnf_transformation,[status(thm)],[f96]) ).
fof(f96_sk,plain,
f__false_ != f__true_,
inference(skolemisation,[status(esa)],[f96_nnf]) ).
cnf(c96,plain,
f__false_ != f__true_,
inference(cnf_transformation,[status(esa)],[f96_sk]) ).
cnf(f109,axiom,
( ~ p__pred_(f__xor_(A_173,B_174))
| ~ p__pred_(A_173)
| ~ p__pred_(B_174) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_111) ).
fof(f109_nnf,plain,
! [B_174,A_173] :
( ~ p__pred_(f__xor_(A_173,B_174))
| ~ p__pred_(A_173)
| ~ p__pred_(B_174) ),
inference(nnf_transformation,[status(thm)],[f109]) ).
fof(f109_sk,plain,
! [B_174,A_173] :
( ~ p__pred_(f__xor_(A_173,B_174))
| ~ p__pred_(A_173)
| ~ p__pred_(B_174) ),
inference(skolemisation,[status(esa)],[f109_nnf]) ).
cnf(c109,plain,
( ~ p__pred_(f__xor_(X1,X0))
| ~ p__pred_(X1)
| ~ p__pred_(X0) ),
inference(cnf_transformation,[status(esa)],[f109_sk]) ).
cnf(f113,axiom,
( ~ p__pred_(f__nand_(A_181,B_182))
| ~ p__pred_(B_182)
| ~ p__pred_(A_181) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_115) ).
fof(f113_nnf,plain,
! [A_181,B_182] :
( ~ p__pred_(f__nand_(A_181,B_182))
| ~ p__pred_(B_182)
| ~ p__pred_(A_181) ),
inference(nnf_transformation,[status(thm)],[f113]) ).
fof(f113_sk,plain,
! [A_181,B_182] :
( ~ p__pred_(f__nand_(A_181,B_182))
| ~ p__pred_(B_182)
| ~ p__pred_(A_181) ),
inference(skolemisation,[status(esa)],[f113_nnf]) ).
cnf(c113,plain,
( ~ p__pred_(f__nand_(X0,X1))
| ~ p__pred_(X1)
| ~ p__pred_(X0) ),
inference(cnf_transformation,[status(esa)],[f113_sk]) ).
cnf(f116,axiom,
( ~ p__pred_(f__nor_(A_185,B_186))
| ~ p__pred_(B_186) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_118) ).
fof(f116_nnf,plain,
! [B_186,A_185] :
( ~ p__pred_(f__nor_(A_185,B_186))
| ~ p__pred_(B_186) ),
inference(nnf_transformation,[status(thm)],[f116]) ).
fof(f116_sk,plain,
! [B_186,A_185] :
( ~ p__pred_(f__nor_(A_185,B_186))
| ~ p__pred_(B_186) ),
inference(skolemisation,[status(esa)],[f116_nnf]) ).
cnf(c116,plain,
( ~ p__pred_(f__nor_(X1,X0))
| ~ p__pred_(X0) ),
inference(cnf_transformation,[status(esa)],[f116_sk]) ).
cnf(f117,axiom,
( ~ p__pred_(f__nor_(A_185,B_186))
| ~ p__pred_(A_185) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_119) ).
fof(f117_nnf,plain,
! [A_185,B_186] :
( ~ p__pred_(f__nor_(A_185,B_186))
| ~ p__pred_(A_185) ),
inference(nnf_transformation,[status(thm)],[f117]) ).
fof(f117_sk,plain,
! [A_185,B_186] :
( ~ p__pred_(f__nor_(A_185,B_186))
| ~ p__pred_(A_185) ),
inference(skolemisation,[status(esa)],[f117_nnf]) ).
cnf(c117,plain,
( ~ p__pred_(f__nor_(X0,X1))
| ~ p__pred_(X0) ),
inference(cnf_transformation,[status(esa)],[f117_sk]) ).
cnf(f123,axiom,
( ~ p__pred_(f__not_(A_197))
| ~ p__pred_(A_197) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_125) ).
fof(f123_nnf,plain,
! [A_197] :
( ~ p__pred_(f__not_(A_197))
| ~ p__pred_(A_197) ),
inference(nnf_transformation,[status(thm)],[f123]) ).
fof(f123_sk,plain,
! [A_197] :
( ~ p__pred_(f__not_(A_197))
| ~ p__pred_(A_197) ),
inference(skolemisation,[status(esa)],[f123_nnf]) ).
cnf(c123,plain,
( ~ p__pred_(f__not_(X0))
| ~ p__pred_(X0) ),
inference(cnf_transformation,[status(esa)],[f123_sk]) ).
cnf(f125,axiom,
( ~ p__pred_(f__lt_(A_198,B_199))
| ~ p_LES_EQU_(B_199,A_198) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_127) ).
fof(f125_nnf,plain,
! [B_199,A_198] :
( ~ p__pred_(f__lt_(A_198,B_199))
| ~ p_LES_EQU_(B_199,A_198) ),
inference(nnf_transformation,[status(thm)],[f125]) ).
fof(f125_sk,plain,
! [B_199,A_198] :
( ~ p__pred_(f__lt_(A_198,B_199))
| ~ p_LES_EQU_(B_199,A_198) ),
inference(skolemisation,[status(esa)],[f125_nnf]) ).
cnf(c125,plain,
( ~ p__pred_(f__lt_(X1,X0))
| ~ p_LES_EQU_(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f125_sk]) ).
cnf(f129,axiom,
( ~ p__pred_(f__gt_(A_202,B_203))
| ~ p_LES_EQU_(A_202,B_203) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_131) ).
fof(f129_nnf,plain,
! [A_202,B_203] :
( ~ p__pred_(f__gt_(A_202,B_203))
| ~ p_LES_EQU_(A_202,B_203) ),
inference(nnf_transformation,[status(thm)],[f129]) ).
fof(f129_sk,plain,
! [A_202,B_203] :
( ~ p__pred_(f__gt_(A_202,B_203))
| ~ p_LES_EQU_(A_202,B_203) ),
inference(skolemisation,[status(esa)],[f129_nnf]) ).
cnf(c129,plain,
( ~ p__pred_(f__gt_(X0,X1))
| ~ p_LES_EQU_(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f129_sk]) ).
cnf(goal_0,negated_conjecture,
true != false,
inference(equality_encoding,[status(esa)],[c11,c12,c13,c14,c57,c58,c62,c95,c96,c109,c113,c116,c117,c123,c125,c129,c134,c136]) ).
cnf(g0_0,plain,
sF1 != false,
inference(rw,[status(thm)],[goal_0,t19527]) ).
cnf(g0_1,plain,
sF1 != sF1,
inference(rw,[status(thm)],[g0_0,t193]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : HWV019-2 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.03 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.10/0.35 % Computer : n017.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Wed Sep 23 16:21:44 UTC 2026
% 0.13/0.36 % CPUTime :
% 0.13/0.36 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 22.45/3.38 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 22.45/3.38 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------