%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : HWV012-2 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n005.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 01:37:48 PM UTC 2026
% Result : Unsatisfiable 22.50s 3.72s
% Output : Proof 22.50s
% Verified :
% Comments :
%------------------------------------------------------------------------------
cnf(t163,axiom,
sF1 = p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)),
introduced(definition) ).
cnf(t162,axiom,
sF0 = fwork_DOTfifo_DOTrtl_DOTwr_(t_206),
introduced(definition) ).
cnf(t175,plain,
fwork_DOTfifo_DOTrtl_DOTwr_(t_206) = sF0,
inference(orient,[status(thm)],[t162]) ).
cnf(t19978,plain,
sF1 = p__pred_(sF0),
inference(step,[status(thm)],[t163,t175]) ).
cnf(f134,negated_conjecture,
p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_2) ).
fof(f134_nnf,plain,
p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)),
inference(nnf_transformation,[status(thm)],[f134]) ).
cnf(c134,plain,
p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)),
inference(cnf_transformation,[status(esa)],[f134_nnf]) ).
cnf(t14,plain,
p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)) = true,
inference(equality_encoding,[status(esa)],[c134]) ).
cnf(t19977,plain,
p__pred_(sF0) = true,
inference(step,[status(thm)],[t14,t175]) ).
cnf(t185,plain,
p__pred_(sF0) = true,
inference(orient,[status(thm)],[t19977]) ).
cnf(t19979,plain,
sF1 = true,
inference(step,[status(thm)],[t19978,t185]) ).
cnf(t186,plain,
true = sF1,
inference(orient,[status(thm)],[t19979]) ).
cnf(t165,axiom,
sF3 = p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTint__level_(t_206)),
introduced(definition) ).
cnf(t164,axiom,
sF2 = fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),
introduced(definition) ).
cnf(t176,plain,
fwork_DOTfifo_DOTrtl_DOTint__level_(t_206) = sF2,
inference(orient,[status(thm)],[t164]) ).
cnf(t19994,plain,
sF3 = p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,sF2),
inference(step,[status(thm)],[t165,t176]) ).
cnf(f133,negated_conjecture,
~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTlevel_(t_206)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_1) ).
fof(f133_nnf,plain,
~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTlevel_(t_206)),
inference(nnf_transformation,[status(thm)],[f133]) ).
fof(f133_sk,plain,
~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTlevel_(t_206)),
inference(skolemisation,[status(esa)],[f133_nnf]) ).
cnf(c133,plain,
~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTlevel_(t_206)),
inference(cnf_transformation,[status(esa)],[f133_sk]) ).
cnf(u1,axiom,
p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTlevel_(t_206)) = false,
inference(equality_encoding,[status(esa)],[c133]) ).
cnf(f3,axiom,
fwork_DOTfifo_DOTrtl_DOTlevel_(T_0) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_0),
file('/export/starexec/sandbox2/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(t16,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(t19993,plain,
p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,sF2) = false,
inference(step,[status(thm)],[t16,t176]) ).
cnf(t205,plain,
p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,sF2) = false,
inference(orient,[status(thm)],[t19993]) ).
cnf(t19995,plain,
sF3 = false,
inference(step,[status(thm)],[t19994,t205]) ).
cnf(t209,plain,
false = sF3,
inference(orient,[status(thm)],[t19995]) ).
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/sandbox2/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(t124,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(t20939,plain,
ifeq(p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(f_ADD_(X1,n1))),sF1,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)],[t124,t186]) ).
cnf(t20940,plain,
ifeq(p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(f_ADD_(X1,n1))),sF1,ifeq(p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X1)),sF1,ifeq(p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X1)),true,p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X1)),true),true),true) = true,
inference(step,[status(thm)],[t20939,t186]) ).
cnf(t20941,plain,
ifeq(p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(f_ADD_(X1,n1))),sF1,ifeq(p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X1)),sF1,ifeq(p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X1)),sF1,p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X1)),true),true),true) = true,
inference(step,[status(thm)],[t20940,t186]) ).
cnf(t20942,plain,
ifeq(p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(f_ADD_(X1,n1))),sF1,ifeq(p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X1)),sF1,ifeq(p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X1)),sF1,p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X1)),sF1),true),true) = true,
inference(step,[status(thm)],[t20941,t186]) ).
cnf(t20943,plain,
ifeq(p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(f_ADD_(X1,n1))),sF1,ifeq(p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X1)),sF1,ifeq(p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X1)),sF1,p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X1)),sF1),sF1),true) = true,
inference(step,[status(thm)],[t20942,t186]) ).
cnf(t20944,plain,
ifeq(p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(f_ADD_(X1,n1))),sF1,ifeq(p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X1)),sF1,ifeq(p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X1)),sF1,p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X1)),sF1),sF1),sF1) = true,
inference(step,[status(thm)],[t20943,t186]) ).
cnf(t20945,plain,
ifeq(p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(f_ADD_(X1,n1))),sF1,ifeq(p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X1)),sF1,ifeq(p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X1)),sF1,p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X1)),sF1),sF1),sF1) = sF1,
inference(step,[status(thm)],[t20944,t186]) ).
cnf(t17466,plain,
ifeq(p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(f_ADD_(X1,n1))),sF1,ifeq(p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X1)),sF1,ifeq(p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X1)),sF1,p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X1)),sF1),sF1),sF1) = sF1,
inference(orient,[status(thm)],[t20945]) ).
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/sandbox2/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(t131,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(t21042,plain,
ifeq(p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(f_ADD_(X1,n1))),sF1,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)],[t131,t186]) ).
cnf(t21043,plain,
ifeq(p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(f_ADD_(X1,n1))),sF1,ifeq(p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X1)),sF1,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)],[t21042,t186]) ).
cnf(t21044,plain,
ifeq(p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(f_ADD_(X1,n1))),sF1,ifeq(p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X1)),sF1,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)))),sF1),true) = true,
inference(step,[status(thm)],[t21043,t186]) ).
cnf(t21045,plain,
ifeq(p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(f_ADD_(X1,n1))),sF1,ifeq(p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X1)),sF1,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)))),sF1),sF1) = true,
inference(step,[status(thm)],[t21044,t186]) ).
cnf(t21046,plain,
ifeq(p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(f_ADD_(X1,n1))),sF1,ifeq(p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X1)),sF1,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)))),sF1),sF1) = sF1,
inference(step,[status(thm)],[t21045,t186]) ).
cnf(t19658,plain,
ifeq(p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(f_ADD_(X1,n1))),sF1,ifeq(p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X1)),sF1,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)))),sF1),sF1) = sF1,
inference(orient,[status(thm)],[t21046]) ).
cnf(t19659,plain,
sF1 = ifeq(p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(f_ADD_(t_206,n1))),sF1,ifeq(p__pred_(sF0),sF1,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_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)))),sF1),sF1),
inference(cp,[status(thm)],[t19658,t175]) ).
cnf(t166,axiom,
sF4 = f_ADD_(t_206,n1),
introduced(definition) ).
cnf(t201,plain,
f_ADD_(t_206,n1) = sF4,
inference(orient,[status(thm)],[t166]) ).
cnf(t21047,plain,
sF1 = ifeq(p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(sF4)),sF1,ifeq(p__pred_(sF0),sF1,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_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)))),sF1),sF1),
inference(step,[status(thm)],[t19659,t201]) ).
cnf(t167,axiom,
sF5 = fwork_DOTfifo_DOTrtl_DOTwr__error_(f_ADD_(t_206,n1)),
introduced(definition) ).
cnf(t20007,plain,
sF5 = fwork_DOTfifo_DOTrtl_DOTwr__error_(sF4),
inference(step,[status(thm)],[t167,t201]) ).
cnf(t224,plain,
fwork_DOTfifo_DOTrtl_DOTwr__error_(sF4) = sF5,
inference(orient,[status(thm)],[t20007]) ).
cnf(t21048,plain,
sF1 = ifeq(p__pred_(sF5),sF1,ifeq(p__pred_(sF0),sF1,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_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)))),sF1),sF1),
inference(step,[status(thm)],[t21047,t224]) ).
cnf(f135,negated_conjecture,
p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(f_ADD_(t_206,n1))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_3) ).
fof(f135_nnf,plain,
p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(f_ADD_(t_206,n1))),
inference(nnf_transformation,[status(thm)],[f135]) ).
cnf(c135,plain,
p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(f_ADD_(t_206,n1))),
inference(cnf_transformation,[status(esa)],[f135_nnf]) ).
cnf(t21,plain,
p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(f_ADD_(t_206,n1))) = true,
inference(equality_encoding,[status(esa)],[c135]) ).
cnf(t20013,plain,
p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(sF4)) = true,
inference(step,[status(thm)],[t21,t201]) ).
cnf(t20014,plain,
p__pred_(sF5) = true,
inference(step,[status(thm)],[t20013,t224]) ).
cnf(t20015,plain,
p__pred_(sF5) = sF1,
inference(step,[status(thm)],[t20014,t186]) ).
cnf(t237,plain,
p__pred_(sF5) = sF1,
inference(orient,[status(thm)],[t20015]) ).
cnf(t21049,plain,
sF1 = ifeq(sF1,sF1,ifeq(p__pred_(sF0),sF1,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_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)))),sF1),sF1),
inference(step,[status(thm)],[t21048,t237]) ).
cnf(t18,plain,
ifeq(X1,X1,X2,X3) = X2,
introduced(definition) ).
cnf(t228,plain,
ifeq(X1,X1,X2,X3) = X2,
inference(orient,[status(thm)],[t18]) ).
cnf(t21050,plain,
sF1 = ifeq(p__pred_(sF0),sF1,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_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)))),sF1),
inference(step,[status(thm)],[t21049,t228]) ).
cnf(t19989,plain,
p__pred_(sF0) = sF1,
inference(step,[status(thm)],[t185,t186]) ).
cnf(t198,plain,
p__pred_(sF0) = sF1,
inference(orient,[status(thm)],[t19989]) ).
cnf(t21051,plain,
sF1 = ifeq(sF1,sF1,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_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)))),sF1),
inference(step,[status(thm)],[t21050,t198]) ).
cnf(t21052,plain,
sF1 = 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_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)))),
inference(step,[status(thm)],[t21051,t228]) ).
cnf(t21053,plain,
sF1 = or(p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,sF2),or(p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206)),p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)))),
inference(step,[status(thm)],[t21052,t176]) ).
cnf(t20005,plain,
p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,sF2) = sF3,
inference(step,[status(thm)],[t205,t209]) ).
cnf(t219,plain,
p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,sF2) = sF3,
inference(orient,[status(thm)],[t20005]) ).
cnf(t21054,plain,
sF1 = or(sF3,or(p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206)),p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)))),
inference(step,[status(thm)],[t21053,t219]) ).
cnf(t11,plain,
or(false,X1) = X1,
introduced(definition) ).
cnf(t182,plain,
or(false,X1) = X1,
inference(orient,[status(thm)],[t11]) ).
cnf(t20002,plain,
or(sF3,X1) = X1,
inference(step,[status(thm)],[t182,t209]) ).
cnf(t216,plain,
or(sF3,X1) = X1,
inference(rw,[status(thm)],[t20002]) ).
cnf(t223,plain,
or(sF3,X1) = X1,
inference(orient,[status(thm)],[t216]) ).
cnf(t21055,plain,
sF1 = or(p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206)),p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206))),
inference(step,[status(thm)],[t21054,t223]) ).
cnf(t22,plain,
ifeq(not(X1),true,X1,false) = false,
introduced(definition) ).
cnf(t20017,plain,
ifeq(not(X1),sF1,X1,false) = false,
inference(step,[status(thm)],[t22,t186]) ).
cnf(t20018,plain,
ifeq(not(X1),sF1,X1,sF3) = false,
inference(step,[status(thm)],[t20017,t209]) ).
cnf(t20019,plain,
ifeq(not(X1),sF1,X1,sF3) = sF3,
inference(step,[status(thm)],[t20018,t209]) ).
cnf(t249,plain,
ifeq(not(X1),sF1,X1,sF3) = sF3,
inference(orient,[status(thm)],[t20019]) ).
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/sandbox2/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(t81,plain,
or(not(p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(f_ADD_(X1,n1)))),not(p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X1)))) = true,
inference(equality_encoding,[status(esa)],[c11]) ).
cnf(t20363,plain,
or(not(p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(f_ADD_(X1,n1)))),not(p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X1)))) = sF1,
inference(step,[status(thm)],[t81,t186]) ).
cnf(t2838,plain,
or(not(p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(f_ADD_(X1,n1)))),not(p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X1)))) = sF1,
inference(orient,[status(thm)],[t20363]) ).
cnf(t2840,plain,
sF1 = or(not(p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(sF4))),not(p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)))),
inference(cp,[status(thm)],[t2838,t201]) ).
cnf(t20364,plain,
sF1 = or(not(p__pred_(sF5)),not(p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)))),
inference(step,[status(thm)],[t2840,t224]) ).
cnf(t20365,plain,
sF1 = or(not(sF1),not(p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)))),
inference(step,[status(thm)],[t20364,t237]) ).
cnf(t2,plain,
not(true) = false,
introduced(definition) ).
cnf(t172,plain,
not(true) = false,
inference(orient,[status(thm)],[t2]) ).
cnf(t19982,plain,
not(sF1) = false,
inference(step,[status(thm)],[t172,t186]) ).
cnf(t189,plain,
not(sF1) = false,
inference(rw,[status(thm)],[t19982]) ).
cnf(t200,plain,
not(sF1) = false,
inference(orient,[status(thm)],[t189]) ).
cnf(t20003,plain,
not(sF1) = sF3,
inference(step,[status(thm)],[t200,t209]) ).
cnf(t217,plain,
not(sF1) = sF3,
inference(orient,[status(thm)],[t20003]) ).
cnf(t20366,plain,
sF1 = or(sF3,not(p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)))),
inference(step,[status(thm)],[t20365,t217]) ).
cnf(t20367,plain,
sF1 = not(p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206))),
inference(step,[status(thm)],[t20366,t223]) ).
cnf(t2844,plain,
not(p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206))) = sF1,
inference(orient,[status(thm)],[t20367]) ).
cnf(t2845,plain,
sF3 = ifeq(sF1,sF1,p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)),sF3),
inference(cp,[status(thm)],[t249,t2844]) ).
cnf(t20368,plain,
sF3 = p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)),
inference(step,[status(thm)],[t2845,t228]) ).
cnf(t2846,plain,
p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)) = sF3,
inference(orient,[status(thm)],[t20368]) ).
cnf(t21056,plain,
sF1 = or(p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206)),sF3),
inference(step,[status(thm)],[t21055,t2846]) ).
cnf(t9,plain,
or(X1,false) = X1,
introduced(definition) ).
cnf(t180,plain,
or(X1,false) = X1,
inference(orient,[status(thm)],[t9]) ).
cnf(t20001,plain,
or(X1,sF3) = X1,
inference(step,[status(thm)],[t180,t209]) ).
cnf(t215,plain,
or(X1,sF3) = X1,
inference(rw,[status(thm)],[t20001]) ).
cnf(t222,plain,
or(X1,sF3) = X1,
inference(orient,[status(thm)],[t215]) ).
cnf(t21057,plain,
sF1 = p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206)),
inference(step,[status(thm)],[t21056,t222]) ).
cnf(t19663,plain,
p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206)) = sF1,
inference(orient,[status(thm)],[t21057]) ).
cnf(t19692,plain,
sF1 = ifeq(p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(f_ADD_(t_206,n1))),sF1,ifeq(sF1,sF1,ifeq(p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)),sF1,p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)),sF1),sF1),sF1),
inference(cp,[status(thm)],[t17466,t19663]) ).
cnf(t21058,plain,
sF1 = ifeq(p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(sF4)),sF1,ifeq(sF1,sF1,ifeq(p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)),sF1,p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)),sF1),sF1),sF1),
inference(step,[status(thm)],[t19692,t201]) ).
cnf(t21059,plain,
sF1 = ifeq(p__pred_(sF5),sF1,ifeq(sF1,sF1,ifeq(p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)),sF1,p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)),sF1),sF1),sF1),
inference(step,[status(thm)],[t21058,t224]) ).
cnf(t21060,plain,
sF1 = ifeq(sF1,sF1,ifeq(sF1,sF1,ifeq(p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)),sF1,p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)),sF1),sF1),sF1),
inference(step,[status(thm)],[t21059,t237]) ).
cnf(t21061,plain,
sF1 = ifeq(sF1,sF1,ifeq(p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)),sF1,p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)),sF1),sF1),
inference(step,[status(thm)],[t21060,t228]) ).
cnf(t21062,plain,
sF1 = ifeq(p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)),sF1,p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)),sF1),
inference(step,[status(thm)],[t21061,t228]) ).
cnf(t21063,plain,
sF1 = ifeq(p__pred_(sF0),sF1,p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)),sF1),
inference(step,[status(thm)],[t21062,t175]) ).
cnf(t21064,plain,
sF1 = ifeq(sF1,sF1,p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)),sF1),
inference(step,[status(thm)],[t21063,t198]) ).
cnf(t21065,plain,
sF1 = p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)),
inference(step,[status(thm)],[t21064,t228]) ).
cnf(t21066,plain,
sF1 = sF3,
inference(step,[status(thm)],[t21065,t2846]) ).
cnf(t19693,plain,
sF3 = sF1,
inference(orient,[status(thm)],[t21066]) ).
cnf(t21075,plain,
false = sF1,
inference(step,[status(thm)],[t209,t19693]) ).
cnf(t19702,plain,
false = sF1,
inference(orient,[status(thm)],[t21075]) ).
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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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,c133]) ).
cnf(g0_0,plain,
sF1 != false,
inference(rw,[status(thm)],[goal_0,t186]) ).
cnf(g0_1,plain,
sF1 != sF1,
inference(rw,[status(thm)],[g0_0,t19702]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : HWV012-2 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.09/0.36 % Computer : n005.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Wed Sep 23 16:23:04 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 22.50/3.72 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 22.50/3.72 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------