%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : HWV015-2 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n014.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 01:37:55 PM UTC 2026
% Result : Unsatisfiable 12.33s 2.40s
% Output : Proof 12.33s
% Verified :
% Comments :
%------------------------------------------------------------------------------
cnf(t167,axiom,
sF1 = p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206)),
introduced(definition) ).
cnf(t166,axiom,
sF0 = fwork_DOTfifo_DOTrtl_DOTrd_(t_206),
introduced(definition) ).
cnf(t185,plain,
fwork_DOTfifo_DOTrtl_DOTrd_(t_206) = sF0,
inference(orient,[status(thm)],[t166]) ).
cnf(t22707,plain,
sF1 = p__pred_(sF0),
inference(step,[status(thm)],[t167,t185]) ).
cnf(f136,negated_conjecture,
p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_4) ).
fof(f136_nnf,plain,
p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206)),
inference(nnf_transformation,[status(thm)],[f136]) ).
cnf(c136,plain,
p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206)),
inference(cnf_transformation,[status(esa)],[f136_nnf]) ).
cnf(t14,plain,
p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206)) = true,
inference(equality_encoding,[status(esa)],[c136]) ).
cnf(t22704,plain,
p__pred_(sF0) = true,
inference(step,[status(thm)],[t14,t185]) ).
cnf(t197,plain,
p__pred_(sF0) = true,
inference(orient,[status(thm)],[t22704]) ).
cnf(t22708,plain,
sF1 = true,
inference(step,[status(thm)],[t22707,t197]) ).
cnf(t201,plain,
true = sF1,
inference(orient,[status(thm)],[t22708]) ).
cnf(t169,axiom,
sF3 = p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)),
introduced(definition) ).
cnf(t168,axiom,
sF2 = fwork_DOTfifo_DOTrtl_DOTreset_(t_206),
introduced(definition) ).
cnf(t186,plain,
fwork_DOTfifo_DOTrtl_DOTreset_(t_206) = sF2,
inference(orient,[status(thm)],[t168]) ).
cnf(t22722,plain,
sF3 = p__pred_(sF2),
inference(step,[status(thm)],[t169,t186]) ).
cnf(f135,negated_conjecture,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_3) ).
fof(f135_nnf,plain,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)),
inference(nnf_transformation,[status(thm)],[f135]) ).
fof(f135_sk,plain,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)),
inference(skolemisation,[status(esa)],[f135_nnf]) ).
cnf(c135,plain,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)),
inference(cnf_transformation,[status(esa)],[f135_sk]) ).
cnf(t15,plain,
p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)) = false,
inference(equality_encoding,[status(esa)],[c135]) ).
cnf(t22705,plain,
p__pred_(sF2) = false,
inference(step,[status(thm)],[t15,t186]) ).
cnf(t198,plain,
p__pred_(sF2) = false,
inference(orient,[status(thm)],[t22705]) ).
cnf(t22723,plain,
sF3 = false,
inference(step,[status(thm)],[t22722,t198]) ).
cnf(t218,plain,
false = sF3,
inference(orient,[status(thm)],[t22723]) ).
cnf(f29,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_DOTint__level_(T_13),n0)
| fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13,n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_13) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_31) ).
fof(f29_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_DOTint__level_(T_13),n0)
| fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13,n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_13) ),
inference(nnf_transformation,[status(thm)],[f29]) ).
fof(f29_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_DOTint__level_(T_13),n0)
| fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13,n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_13) ),
inference(skolemisation,[status(esa)],[f29_nnf]) ).
cnf(c29,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_DOTint__level_(X0),n0)
| fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(X0,n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(X0) ),
inference(cnf_transformation,[status(esa)],[f29_sk]) ).
cnf(t142,plain,
ifeq(p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X1)),true,ifeq(p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X1)),true,or(eq(fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(X1,n1)),fwork_DOTfifo_DOTrtl_DOTint__level_(X1)),or(p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(X1),n0),p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X1)))),true),true) = true,
inference(equality_encoding,[status(esa)],[c29]) ).
cnf(t23921,plain,
ifeq(p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X1)),sF1,ifeq(p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X1)),true,or(eq(fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(X1,n1)),fwork_DOTfifo_DOTrtl_DOTint__level_(X1)),or(p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(X1),n0),p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X1)))),true),true) = true,
inference(step,[status(thm)],[t142,t201]) ).
cnf(t23922,plain,
ifeq(p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X1)),sF1,ifeq(p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X1)),sF1,or(eq(fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(X1,n1)),fwork_DOTfifo_DOTrtl_DOTint__level_(X1)),or(p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(X1),n0),p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X1)))),true),true) = true,
inference(step,[status(thm)],[t23921,t201]) ).
cnf(t23923,plain,
ifeq(p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X1)),sF1,ifeq(p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X1)),sF1,or(eq(fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(X1,n1)),fwork_DOTfifo_DOTrtl_DOTint__level_(X1)),or(p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(X1),n0),p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X1)))),sF1),true) = true,
inference(step,[status(thm)],[t23922,t201]) ).
cnf(t23924,plain,
ifeq(p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X1)),sF1,ifeq(p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X1)),sF1,or(eq(fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(X1,n1)),fwork_DOTfifo_DOTrtl_DOTint__level_(X1)),or(p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(X1),n0),p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X1)))),sF1),sF1) = true,
inference(step,[status(thm)],[t23923,t201]) ).
cnf(t23925,plain,
ifeq(p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X1)),sF1,ifeq(p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X1)),sF1,or(eq(fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(X1,n1)),fwork_DOTfifo_DOTrtl_DOTint__level_(X1)),or(p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(X1),n0),p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X1)))),sF1),sF1) = sF1,
inference(step,[status(thm)],[t23924,t201]) ).
cnf(t22379,plain,
ifeq(p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X1)),sF1,ifeq(p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X1)),sF1,or(eq(fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(X1,n1)),fwork_DOTfifo_DOTrtl_DOTint__level_(X1)),or(p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(X1),n0),p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X1)))),sF1),sF1) = sF1,
inference(orient,[status(thm)],[t23925]) ).
cnf(t22380,plain,
sF1 = ifeq(p__pred_(sF0),sF1,ifeq(p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)),sF1,or(eq(fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206,n1)),fwork_DOTfifo_DOTrtl_DOTint__level_(t_206)),or(p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),n0),p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)))),sF1),sF1),
inference(cp,[status(thm)],[t22379,t185]) ).
cnf(t22718,plain,
p__pred_(sF0) = sF1,
inference(step,[status(thm)],[t197,t201]) ).
cnf(t213,plain,
p__pred_(sF0) = sF1,
inference(orient,[status(thm)],[t22718]) ).
cnf(t23926,plain,
sF1 = ifeq(sF1,sF1,ifeq(p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)),sF1,or(eq(fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206,n1)),fwork_DOTfifo_DOTrtl_DOTint__level_(t_206)),or(p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),n0),p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)))),sF1),sF1),
inference(step,[status(thm)],[t22380,t213]) ).
cnf(t20,plain,
ifeq(X1,X1,X2,X3) = X2,
introduced(definition) ).
cnf(t248,plain,
ifeq(X1,X1,X2,X3) = X2,
inference(orient,[status(thm)],[t20]) ).
cnf(t23927,plain,
sF1 = ifeq(p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)),sF1,or(eq(fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206,n1)),fwork_DOTfifo_DOTrtl_DOTint__level_(t_206)),or(p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),n0),p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)))),sF1),
inference(step,[status(thm)],[t23926,t248]) ).
cnf(t170,axiom,
sF4 = fwork_DOTfifo_DOTrtl_DOTwr_(t_206),
introduced(definition) ).
cnf(t187,plain,
fwork_DOTfifo_DOTrtl_DOTwr_(t_206) = sF4,
inference(orient,[status(thm)],[t170]) ).
cnf(t23928,plain,
sF1 = ifeq(p__pred_(sF4),sF1,or(eq(fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206,n1)),fwork_DOTfifo_DOTrtl_DOTint__level_(t_206)),or(p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),n0),p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)))),sF1),
inference(step,[status(thm)],[t23927,t187]) ).
cnf(f134,negated_conjecture,
p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)),
file('/export/starexec/sandbox/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(t16,plain,
p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)) = true,
inference(equality_encoding,[status(esa)],[c134]) ).
cnf(t22706,plain,
p__pred_(sF4) = true,
inference(step,[status(thm)],[t16,t187]) ).
cnf(t199,plain,
p__pred_(sF4) = true,
inference(orient,[status(thm)],[t22706]) ).
cnf(t22720,plain,
p__pred_(sF4) = sF1,
inference(step,[status(thm)],[t199,t201]) ).
cnf(t215,plain,
p__pred_(sF4) = sF1,
inference(orient,[status(thm)],[t22720]) ).
cnf(t23929,plain,
sF1 = ifeq(sF1,sF1,or(eq(fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206,n1)),fwork_DOTfifo_DOTrtl_DOTint__level_(t_206)),or(p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),n0),p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)))),sF1),
inference(step,[status(thm)],[t23928,t215]) ).
cnf(t23930,plain,
sF1 = or(eq(fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206,n1)),fwork_DOTfifo_DOTrtl_DOTint__level_(t_206)),or(p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),n0),p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)))),
inference(step,[status(thm)],[t23929,t248]) ).
cnf(t174,axiom,
sF8 = f_ADD_(t_206,n1),
introduced(definition) ).
cnf(t232,plain,
f_ADD_(t_206,n1) = sF8,
inference(orient,[status(thm)],[t174]) ).
cnf(t23931,plain,
sF1 = or(eq(fwork_DOTfifo_DOTrtl_DOTint__level_(sF8),fwork_DOTfifo_DOTrtl_DOTint__level_(t_206)),or(p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),n0),p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)))),
inference(step,[status(thm)],[t23930,t232]) ).
cnf(t175,axiom,
sF9 = fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206,n1)),
introduced(definition) ).
cnf(t22743,plain,
sF9 = fwork_DOTfifo_DOTrtl_DOTint__level_(sF8),
inference(step,[status(thm)],[t175,t232]) ).
cnf(t242,plain,
fwork_DOTfifo_DOTrtl_DOTint__level_(sF8) = sF9,
inference(orient,[status(thm)],[t22743]) ).
cnf(t23932,plain,
sF1 = or(eq(sF9,fwork_DOTfifo_DOTrtl_DOTint__level_(t_206)),or(p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),n0),p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)))),
inference(step,[status(thm)],[t23931,t242]) ).
cnf(t172,axiom,
sF6 = fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),
introduced(definition) ).
cnf(t188,plain,
fwork_DOTfifo_DOTrtl_DOTint__level_(t_206) = sF6,
inference(orient,[status(thm)],[t172]) ).
cnf(t23933,plain,
sF1 = or(eq(sF9,sF6),or(p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),n0),p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)))),
inference(step,[status(thm)],[t23932,t188]) ).
cnf(f137,negated_conjecture,
fwork_DOTfifo_DOTrtl_DOTlevel_(f_ADD_(t_206,n1)) != fwork_DOTfifo_DOTrtl_DOTlevel_(t_206),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_5) ).
fof(f137_nnf,plain,
fwork_DOTfifo_DOTrtl_DOTlevel_(f_ADD_(t_206,n1)) != fwork_DOTfifo_DOTrtl_DOTlevel_(t_206),
inference(nnf_transformation,[status(thm)],[f137]) ).
fof(f137_sk,plain,
fwork_DOTfifo_DOTrtl_DOTlevel_(f_ADD_(t_206,n1)) != fwork_DOTfifo_DOTrtl_DOTlevel_(t_206),
inference(skolemisation,[status(esa)],[f137_nnf]) ).
cnf(c137,plain,
fwork_DOTfifo_DOTrtl_DOTlevel_(f_ADD_(t_206,n1)) != fwork_DOTfifo_DOTrtl_DOTlevel_(t_206),
inference(cnf_transformation,[status(esa)],[f137_sk]) ).
cnf(u3,axiom,
eq(fwork_DOTfifo_DOTrtl_DOTlevel_(f_ADD_(t_206,n1)),fwork_DOTfifo_DOTrtl_DOTlevel_(t_206)) = false,
inference(equality_encoding,[status(esa)],[c137]) ).
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(t26,plain,
eq(fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206,n1)),fwork_DOTfifo_DOTrtl_DOTint__level_(t_206)) = false,
inference(definition_unfolding,[status(thm)],[u3,d0]) ).
cnf(t22759,plain,
eq(fwork_DOTfifo_DOTrtl_DOTint__level_(sF8),fwork_DOTfifo_DOTrtl_DOTint__level_(t_206)) = false,
inference(step,[status(thm)],[t26,t232]) ).
cnf(t22760,plain,
eq(sF9,fwork_DOTfifo_DOTrtl_DOTint__level_(t_206)) = false,
inference(step,[status(thm)],[t22759,t242]) ).
cnf(t22761,plain,
eq(sF9,sF6) = false,
inference(step,[status(thm)],[t22760,t188]) ).
cnf(t22762,plain,
eq(sF9,sF6) = sF3,
inference(step,[status(thm)],[t22761,t218]) ).
cnf(t279,plain,
eq(sF9,sF6) = sF3,
inference(orient,[status(thm)],[t22762]) ).
cnf(t23934,plain,
sF1 = or(sF3,or(p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),n0),p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)))),
inference(step,[status(thm)],[t23933,t279]) ).
cnf(t11,plain,
or(false,X1) = X1,
introduced(definition) ).
cnf(t194,plain,
or(false,X1) = X1,
inference(orient,[status(thm)],[t11]) ).
cnf(t22730,plain,
or(sF3,X1) = X1,
inference(step,[status(thm)],[t194,t218]) ).
cnf(t225,plain,
or(sF3,X1) = X1,
inference(rw,[status(thm)],[t22730]) ).
cnf(t236,plain,
or(sF3,X1) = X1,
inference(orient,[status(thm)],[t225]) ).
cnf(t23935,plain,
sF1 = or(p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),n0),p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206))),
inference(step,[status(thm)],[t23934,t236]) ).
cnf(t23936,plain,
sF1 = or(p_LES_EQU_(sF6,n0),p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206))),
inference(step,[status(thm)],[t23935,t188]) ).
cnf(f133,negated_conjecture,
~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTlevel_(t_206),n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_1) ).
fof(f133_nnf,plain,
~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTlevel_(t_206),n0),
inference(nnf_transformation,[status(thm)],[f133]) ).
fof(f133_sk,plain,
~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTlevel_(t_206),n0),
inference(skolemisation,[status(esa)],[f133_nnf]) ).
cnf(c133,plain,
~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTlevel_(t_206),n0),
inference(cnf_transformation,[status(esa)],[f133_sk]) ).
cnf(u2,axiom,
p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTlevel_(t_206),n0) = false,
inference(equality_encoding,[status(esa)],[c133]) ).
cnf(t18,plain,
p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),n0) = false,
inference(definition_unfolding,[status(thm)],[u2,d0]) ).
cnf(t22739,plain,
p_LES_EQU_(sF6,n0) = false,
inference(step,[status(thm)],[t18,t188]) ).
cnf(t22740,plain,
p_LES_EQU_(sF6,n0) = sF3,
inference(step,[status(thm)],[t22739,t218]) ).
cnf(t237,plain,
p_LES_EQU_(sF6,n0) = sF3,
inference(orient,[status(thm)],[t22740]) ).
cnf(t23937,plain,
sF1 = or(sF3,p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206))),
inference(step,[status(thm)],[t23936,t237]) ).
cnf(t23938,plain,
sF1 = p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)),
inference(step,[status(thm)],[t23937,t236]) ).
cnf(t23939,plain,
sF1 = p__pred_(sF2),
inference(step,[status(thm)],[t23938,t186]) ).
cnf(t22731,plain,
p__pred_(sF2) = sF3,
inference(step,[status(thm)],[t198,t218]) ).
cnf(t226,plain,
p__pred_(sF2) = sF3,
inference(orient,[status(thm)],[t22731]) ).
cnf(t23940,plain,
sF1 = sF3,
inference(step,[status(thm)],[t23939,t226]) ).
cnf(t22385,plain,
sF3 = sF1,
inference(orient,[status(thm)],[t23940]) ).
cnf(t23949,plain,
false = sF1,
inference(step,[status(thm)],[t218,t22385]) ).
cnf(t22394,plain,
false = sF1,
inference(orient,[status(thm)],[t23949]) ).
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,c133,c135,c137]) ).
cnf(g0_0,plain,
sF1 != false,
inference(rw,[status(thm)],[goal_0,t201]) ).
cnf(g0_1,plain,
sF1 != sF1,
inference(rw,[status(thm)],[g0_0,t22394]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : HWV015-2 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.03 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.09/0.55 % Computer : n014.cluster.edu
% 0.09/0.55 % Model : x86_64 x86_64
% 0.09/0.55 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.55 % Memory : 8046.5625MB
% 0.09/0.55 % OS : Linux 6.8.0-71-generic
% 0.09/0.55 % CPULimit : 300
% 0.09/0.55 % WCLimit : 300
% 0.09/0.55 % DateTime : Wed Sep 23 16:24:19 UTC 2026
% 0.09/0.55 % CPUTime :
% 0.09/0.55 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 12.33/2.40 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 12.33/2.40 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------