%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : HWV020-2 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n010.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 01:38:03 PM UTC 2026
% Result : Unsatisfiable 12.99s 2.16s
% Output : Proof 12.99s
% Verified :
% Comments :
%------------------------------------------------------------------------------
cnf(t167,axiom,
sF1 = p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(t_206)),
introduced(definition) ).
cnf(t166,axiom,
sF0 = fwork_DOTfifo_DOTrtl_DOTempty_(t_206),
introduced(definition) ).
cnf(t185,plain,
fwork_DOTfifo_DOTrtl_DOTempty_(t_206) = sF0,
inference(orient,[status(thm)],[t166]) ).
cnf(t20775,plain,
sF1 = p__pred_(sF0),
inference(step,[status(thm)],[t167,t185]) ).
cnf(f136,negated_conjecture,
p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(t_206)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_4) ).
fof(f136_nnf,plain,
p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(t_206)),
inference(nnf_transformation,[status(thm)],[f136]) ).
cnf(c136,plain,
p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(t_206)),
inference(cnf_transformation,[status(esa)],[f136_nnf]) ).
cnf(t14,plain,
p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(t_206)) = true,
inference(equality_encoding,[status(esa)],[c136]) ).
cnf(t20771,plain,
p__pred_(sF0) = true,
inference(step,[status(thm)],[t14,t185]) ).
cnf(t197,plain,
p__pred_(sF0) = true,
inference(orient,[status(thm)],[t20771]) ).
cnf(t20776,plain,
sF1 = true,
inference(step,[status(thm)],[t20775,t197]) ).
cnf(t201,plain,
true = sF1,
inference(orient,[status(thm)],[t20776]) ).
cnf(t171,axiom,
sF5 = p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)),
introduced(definition) ).
cnf(t170,axiom,
sF4 = fwork_DOTfifo_DOTrtl_DOTreset_(t_206),
introduced(definition) ).
cnf(t187,plain,
fwork_DOTfifo_DOTrtl_DOTreset_(t_206) = sF4,
inference(orient,[status(thm)],[t170]) ).
cnf(t20792,plain,
sF5 = p__pred_(sF4),
inference(step,[status(thm)],[t171,t187]) ).
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(t16,plain,
p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)) = false,
inference(equality_encoding,[status(esa)],[c135]) ).
cnf(t20773,plain,
p__pred_(sF4) = false,
inference(step,[status(thm)],[t16,t187]) ).
cnf(t199,plain,
p__pred_(sF4) = false,
inference(orient,[status(thm)],[t20773]) ).
cnf(t20793,plain,
sF5 = false,
inference(step,[status(thm)],[t20792,t199]) ).
cnf(t219,plain,
false = sF5,
inference(orient,[status(thm)],[t20793]) ).
cnf(f6,axiom,
( fwork_DOTfifo_DOTrtl_DOTint__level_(T_3) != n0
| p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(T_3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_8) ).
fof(f6_nnf,plain,
! [T_3] :
( fwork_DOTfifo_DOTrtl_DOTint__level_(T_3) != n0
| p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(T_3)) ),
inference(nnf_transformation,[status(thm)],[f6]) ).
fof(f6_sk,plain,
! [T_3] :
( fwork_DOTfifo_DOTrtl_DOTint__level_(T_3) != n0
| p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(T_3)) ),
inference(skolemisation,[status(esa)],[f6_nnf]) ).
cnf(c6,plain,
( fwork_DOTfifo_DOTrtl_DOTint__level_(X0) != n0
| p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(X0)) ),
inference(cnf_transformation,[status(esa)],[f6_sk]) ).
cnf(t42,plain,
ifeq(fwork_DOTfifo_DOTrtl_DOTint__level_(X1),n0,p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(X1)),true) = true,
inference(equality_encoding,[status(esa)],[c6]) ).
cnf(t20872,plain,
ifeq(fwork_DOTfifo_DOTrtl_DOTint__level_(X1),n0,p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(X1)),sF1) = true,
inference(step,[status(thm)],[t42,t201]) ).
cnf(t20873,plain,
ifeq(fwork_DOTfifo_DOTrtl_DOTint__level_(X1),n0,p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(X1)),sF1) = sF1,
inference(step,[status(thm)],[t20872,t201]) ).
cnf(t630,plain,
ifeq(fwork_DOTfifo_DOTrtl_DOTint__level_(X1),n0,p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(X1)),sF1) = sF1,
inference(orient,[status(thm)],[t20873]) ).
cnf(t32,plain,
ifeq(eq(X1,X2),true,X1,X2) = X2,
introduced(definition) ).
cnf(t20839,plain,
ifeq(eq(X1,X2),sF1,X1,X2) = X2,
inference(step,[status(thm)],[t32,t201]) ).
cnf(t299,plain,
ifeq(eq(X1,X2),sF1,X1,X2) = X2,
inference(orient,[status(thm)],[t20839]) ).
cnf(f45,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_47) ).
fof(f45_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)],[f45]) ).
fof(f45_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)],[f45_nnf]) ).
cnf(c45,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)],[f45_sk]) ).
cnf(t140,plain,
ifeq(p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(X1),n0),true,ifeq(p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X1)),true,or(eq(fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(X1,n1)),fwork_DOTfifo_DOTrtl_DOTint__level_(X1)),or(p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X1)),p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X1)))),true),true) = true,
inference(equality_encoding,[status(esa)],[c45]) ).
cnf(t21979,plain,
ifeq(p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(X1),n0),sF1,ifeq(p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X1)),true,or(eq(fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(X1,n1)),fwork_DOTfifo_DOTrtl_DOTint__level_(X1)),or(p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X1)),p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X1)))),true),true) = true,
inference(step,[status(thm)],[t140,t201]) ).
cnf(t21980,plain,
ifeq(p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(X1),n0),sF1,ifeq(p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X1)),sF1,or(eq(fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(X1,n1)),fwork_DOTfifo_DOTrtl_DOTint__level_(X1)),or(p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X1)),p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X1)))),true),true) = true,
inference(step,[status(thm)],[t21979,t201]) ).
cnf(t21981,plain,
ifeq(p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(X1),n0),sF1,ifeq(p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X1)),sF1,or(eq(fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(X1,n1)),fwork_DOTfifo_DOTrtl_DOTint__level_(X1)),or(p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X1)),p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X1)))),sF1),true) = true,
inference(step,[status(thm)],[t21980,t201]) ).
cnf(t21982,plain,
ifeq(p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(X1),n0),sF1,ifeq(p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X1)),sF1,or(eq(fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(X1,n1)),fwork_DOTfifo_DOTrtl_DOTint__level_(X1)),or(p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X1)),p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X1)))),sF1),sF1) = true,
inference(step,[status(thm)],[t21981,t201]) ).
cnf(t21983,plain,
ifeq(p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(X1),n0),sF1,ifeq(p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X1)),sF1,or(eq(fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(X1,n1)),fwork_DOTfifo_DOTrtl_DOTint__level_(X1)),or(p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X1)),p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X1)))),sF1),sF1) = sF1,
inference(step,[status(thm)],[t21982,t201]) ).
cnf(t20396,plain,
ifeq(p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(X1),n0),sF1,ifeq(p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X1)),sF1,or(eq(fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(X1,n1)),fwork_DOTfifo_DOTrtl_DOTint__level_(X1)),or(p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X1)),p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X1)))),sF1),sF1) = sF1,
inference(orient,[status(thm)],[t21983]) ).
cnf(t168,axiom,
sF2 = fwork_DOTfifo_DOTrtl_DOTrd_(t_206),
introduced(definition) ).
cnf(t186,plain,
fwork_DOTfifo_DOTrtl_DOTrd_(t_206) = sF2,
inference(orient,[status(thm)],[t168]) ).
cnf(t20397,plain,
sF1 = ifeq(p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),n0),sF1,ifeq(p__pred_(sF2),sF1,or(eq(fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206,n1)),fwork_DOTfifo_DOTrtl_DOTint__level_(t_206)),or(p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)),p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)))),sF1),sF1),
inference(cp,[status(thm)],[t20396,t186]) ).
cnf(f7,axiom,
( fwork_DOTfifo_DOTrtl_DOTint__level_(T_4) = n0
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(T_4)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_9) ).
fof(f7_nnf,plain,
! [T_4] :
( fwork_DOTfifo_DOTrtl_DOTint__level_(T_4) = n0
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(T_4)) ),
inference(nnf_transformation,[status(thm)],[f7]) ).
fof(f7_sk,plain,
! [T_4] :
( fwork_DOTfifo_DOTrtl_DOTint__level_(T_4) = n0
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(T_4)) ),
inference(skolemisation,[status(esa)],[f7_nnf]) ).
cnf(c7,plain,
( fwork_DOTfifo_DOTrtl_DOTint__level_(X0) = n0
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(X0)) ),
inference(cnf_transformation,[status(esa)],[f7_sk]) ).
cnf(t44,plain,
ifeq(p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(X1)),true,fwork_DOTfifo_DOTrtl_DOTint__level_(X1),n0) = n0,
inference(equality_encoding,[status(esa)],[c7]) ).
cnf(t20877,plain,
ifeq(p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(X1)),sF1,fwork_DOTfifo_DOTrtl_DOTint__level_(X1),n0) = n0,
inference(step,[status(thm)],[t44,t201]) ).
cnf(t811,plain,
ifeq(p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(X1)),sF1,fwork_DOTfifo_DOTrtl_DOTint__level_(X1),n0) = n0,
inference(orient,[status(thm)],[t20877]) ).
cnf(t812,plain,
n0 = ifeq(p__pred_(sF0),sF1,fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),n0),
inference(cp,[status(thm)],[t811,t185]) ).
cnf(t20786,plain,
p__pred_(sF0) = sF1,
inference(step,[status(thm)],[t197,t201]) ).
cnf(t213,plain,
p__pred_(sF0) = sF1,
inference(orient,[status(thm)],[t20786]) ).
cnf(t20878,plain,
n0 = ifeq(sF1,sF1,fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),n0),
inference(step,[status(thm)],[t812,t213]) ).
cnf(t20,plain,
ifeq(X1,X1,X2,X3) = X2,
introduced(definition) ).
cnf(t250,plain,
ifeq(X1,X1,X2,X3) = X2,
inference(orient,[status(thm)],[t20]) ).
cnf(t20879,plain,
n0 = fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),
inference(step,[status(thm)],[t20878,t250]) ).
cnf(t814,plain,
fwork_DOTfifo_DOTrtl_DOTint__level_(t_206) = n0,
inference(orient,[status(thm)],[t20879]) ).
cnf(t21984,plain,
sF1 = ifeq(p_LES_EQU_(n0,n0),sF1,ifeq(p__pred_(sF2),sF1,or(eq(fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206,n1)),fwork_DOTfifo_DOTrtl_DOTint__level_(t_206)),or(p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)),p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)))),sF1),sF1),
inference(step,[status(thm)],[t20397,t814]) ).
cnf(f73,axiom,
p_LES_EQU_(X_106,X_106),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_75) ).
fof(f73_nnf,plain,
! [X_106] : p_LES_EQU_(X_106,X_106),
inference(nnf_transformation,[status(thm)],[f73]) ).
fof(f73_sk,plain,
! [X_106] : p_LES_EQU_(X_106,X_106),
inference(skolemisation,[status(esa)],[f73_nnf]) ).
cnf(c73,plain,
p_LES_EQU_(X0,X0),
inference(cnf_transformation,[status(esa)],[f73_sk]) ).
cnf(t13,plain,
p_LES_EQU_(X1,X1) = true,
inference(equality_encoding,[status(esa)],[c73]) ).
cnf(t196,plain,
p_LES_EQU_(X1,X1) = true,
inference(orient,[status(thm)],[t13]) ).
cnf(t20784,plain,
p_LES_EQU_(X1,X1) = sF1,
inference(step,[status(thm)],[t196,t201]) ).
cnf(t211,plain,
p_LES_EQU_(X1,X1) = sF1,
inference(orient,[status(thm)],[t20784]) ).
cnf(t21985,plain,
sF1 = ifeq(sF1,sF1,ifeq(p__pred_(sF2),sF1,or(eq(fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206,n1)),fwork_DOTfifo_DOTrtl_DOTint__level_(t_206)),or(p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)),p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)))),sF1),sF1),
inference(step,[status(thm)],[t21984,t211]) ).
cnf(t21986,plain,
sF1 = ifeq(p__pred_(sF2),sF1,or(eq(fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206,n1)),fwork_DOTfifo_DOTrtl_DOTint__level_(t_206)),or(p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)),p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)))),sF1),
inference(step,[status(thm)],[t21985,t250]) ).
cnf(f133,negated_conjecture,
p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_1) ).
fof(f133_nnf,plain,
p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206)),
inference(nnf_transformation,[status(thm)],[f133]) ).
cnf(c133,plain,
p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206)),
inference(cnf_transformation,[status(esa)],[f133_nnf]) ).
cnf(t15,plain,
p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206)) = true,
inference(equality_encoding,[status(esa)],[c133]) ).
cnf(t20772,plain,
p__pred_(sF2) = true,
inference(step,[status(thm)],[t15,t186]) ).
cnf(t198,plain,
p__pred_(sF2) = true,
inference(orient,[status(thm)],[t20772]) ).
cnf(t20788,plain,
p__pred_(sF2) = sF1,
inference(step,[status(thm)],[t198,t201]) ).
cnf(t215,plain,
p__pred_(sF2) = sF1,
inference(orient,[status(thm)],[t20788]) ).
cnf(t21987,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__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)),p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)))),sF1),
inference(step,[status(thm)],[t21986,t215]) ).
cnf(t21988,plain,
sF1 = or(eq(fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206,n1)),fwork_DOTfifo_DOTrtl_DOTint__level_(t_206)),or(p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)),p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)))),
inference(step,[status(thm)],[t21987,t250]) ).
cnf(t174,axiom,
sF8 = f_ADD_(t_206,n1),
introduced(definition) ).
cnf(t235,plain,
f_ADD_(t_206,n1) = sF8,
inference(orient,[status(thm)],[t174]) ).
cnf(t21989,plain,
sF1 = or(eq(fwork_DOTfifo_DOTrtl_DOTint__level_(sF8),fwork_DOTfifo_DOTrtl_DOTint__level_(t_206)),or(p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)),p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)))),
inference(step,[status(thm)],[t21988,t235]) ).
cnf(t21990,plain,
sF1 = or(eq(fwork_DOTfifo_DOTrtl_DOTint__level_(sF8),n0),or(p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)),p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)))),
inference(step,[status(thm)],[t21989,t814]) ).
cnf(t172,axiom,
sF6 = fwork_DOTfifo_DOTrtl_DOTwr_(t_206),
introduced(definition) ).
cnf(t188,plain,
fwork_DOTfifo_DOTrtl_DOTwr_(t_206) = sF6,
inference(orient,[status(thm)],[t172]) ).
cnf(t21991,plain,
sF1 = or(eq(fwork_DOTfifo_DOTrtl_DOTint__level_(sF8),n0),or(p__pred_(sF6),p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)))),
inference(step,[status(thm)],[t21990,t188]) ).
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]) ).
fof(f134_sk,plain,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)),
inference(skolemisation,[status(esa)],[f134_nnf]) ).
cnf(c134,plain,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)),
inference(cnf_transformation,[status(esa)],[f134_sk]) ).
cnf(t17,plain,
p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)) = false,
inference(equality_encoding,[status(esa)],[c134]) ).
cnf(t20774,plain,
p__pred_(sF6) = false,
inference(step,[status(thm)],[t17,t188]) ).
cnf(t200,plain,
p__pred_(sF6) = false,
inference(orient,[status(thm)],[t20774]) ).
cnf(t20803,plain,
p__pred_(sF6) = sF5,
inference(step,[status(thm)],[t200,t219]) ).
cnf(t229,plain,
p__pred_(sF6) = sF5,
inference(orient,[status(thm)],[t20803]) ).
cnf(t21992,plain,
sF1 = or(eq(fwork_DOTfifo_DOTrtl_DOTint__level_(sF8),n0),or(sF5,p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)))),
inference(step,[status(thm)],[t21991,t229]) ).
cnf(t11,plain,
or(false,X1) = X1,
introduced(definition) ).
cnf(t194,plain,
or(false,X1) = X1,
inference(orient,[status(thm)],[t11]) ).
cnf(t20800,plain,
or(sF5,X1) = X1,
inference(step,[status(thm)],[t194,t219]) ).
cnf(t226,plain,
or(sF5,X1) = X1,
inference(rw,[status(thm)],[t20800]) ).
cnf(t240,plain,
or(sF5,X1) = X1,
inference(orient,[status(thm)],[t226]) ).
cnf(t21993,plain,
sF1 = or(eq(fwork_DOTfifo_DOTrtl_DOTint__level_(sF8),n0),p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206))),
inference(step,[status(thm)],[t21992,t240]) ).
cnf(t21994,plain,
sF1 = or(eq(fwork_DOTfifo_DOTrtl_DOTint__level_(sF8),n0),p__pred_(sF4)),
inference(step,[status(thm)],[t21993,t187]) ).
cnf(t20801,plain,
p__pred_(sF4) = sF5,
inference(step,[status(thm)],[t199,t219]) ).
cnf(t227,plain,
p__pred_(sF4) = sF5,
inference(orient,[status(thm)],[t20801]) ).
cnf(t21995,plain,
sF1 = or(eq(fwork_DOTfifo_DOTrtl_DOTint__level_(sF8),n0),sF5),
inference(step,[status(thm)],[t21994,t227]) ).
cnf(t9,plain,
or(X1,false) = X1,
introduced(definition) ).
cnf(t192,plain,
or(X1,false) = X1,
inference(orient,[status(thm)],[t9]) ).
cnf(t20799,plain,
or(X1,sF5) = X1,
inference(step,[status(thm)],[t192,t219]) ).
cnf(t225,plain,
or(X1,sF5) = X1,
inference(rw,[status(thm)],[t20799]) ).
cnf(t238,plain,
or(X1,sF5) = X1,
inference(orient,[status(thm)],[t225]) ).
cnf(t21996,plain,
sF1 = eq(fwork_DOTfifo_DOTrtl_DOTint__level_(sF8),n0),
inference(step,[status(thm)],[t21995,t238]) ).
cnf(t20401,plain,
eq(fwork_DOTfifo_DOTrtl_DOTint__level_(sF8),n0) = sF1,
inference(orient,[status(thm)],[t21996]) ).
cnf(t20402,plain,
n0 = ifeq(sF1,sF1,fwork_DOTfifo_DOTrtl_DOTint__level_(sF8),n0),
inference(cp,[status(thm)],[t299,t20401]) ).
cnf(t21997,plain,
n0 = fwork_DOTfifo_DOTrtl_DOTint__level_(sF8),
inference(step,[status(thm)],[t20402,t250]) ).
cnf(t20404,plain,
fwork_DOTfifo_DOTrtl_DOTint__level_(sF8) = n0,
inference(orient,[status(thm)],[t21997]) ).
cnf(t20409,plain,
sF1 = ifeq(n0,n0,p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(sF8)),sF1),
inference(cp,[status(thm)],[t630,t20404]) ).
cnf(t21999,plain,
sF1 = p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(sF8)),
inference(step,[status(thm)],[t20409,t250]) ).
cnf(t175,axiom,
sF9 = fwork_DOTfifo_DOTrtl_DOTempty_(f_ADD_(t_206,n1)),
introduced(definition) ).
cnf(t20811,plain,
sF9 = fwork_DOTfifo_DOTrtl_DOTempty_(sF8),
inference(step,[status(thm)],[t175,t235]) ).
cnf(t244,plain,
fwork_DOTfifo_DOTrtl_DOTempty_(sF8) = sF9,
inference(orient,[status(thm)],[t20811]) ).
cnf(t22000,plain,
sF1 = p__pred_(sF9),
inference(step,[status(thm)],[t21999,t244]) ).
cnf(f137,negated_conjecture,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(f_ADD_(t_206,n1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_5) ).
fof(f137_nnf,plain,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(f_ADD_(t_206,n1))),
inference(nnf_transformation,[status(thm)],[f137]) ).
fof(f137_sk,plain,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(f_ADD_(t_206,n1))),
inference(skolemisation,[status(esa)],[f137_nnf]) ).
cnf(c137,plain,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(f_ADD_(t_206,n1))),
inference(cnf_transformation,[status(esa)],[f137_sk]) ).
cnf(t23,plain,
p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(f_ADD_(t_206,n1))) = false,
inference(equality_encoding,[status(esa)],[c137]) ).
cnf(t20817,plain,
p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(sF8)) = false,
inference(step,[status(thm)],[t23,t235]) ).
cnf(t20818,plain,
p__pred_(sF9) = false,
inference(step,[status(thm)],[t20817,t244]) ).
cnf(t20819,plain,
p__pred_(sF9) = sF5,
inference(step,[status(thm)],[t20818,t219]) ).
cnf(t255,plain,
p__pred_(sF9) = sF5,
inference(orient,[status(thm)],[t20819]) ).
cnf(t22001,plain,
sF1 = sF5,
inference(step,[status(thm)],[t22000,t255]) ).
cnf(t20419,plain,
sF5 = sF1,
inference(orient,[status(thm)],[t22001]) ).
cnf(t22012,plain,
false = sF1,
inference(step,[status(thm)],[t219,t20419]) ).
cnf(t20430,plain,
false = sF1,
inference(orient,[status(thm)],[t22012]) ).
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,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,t20430]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : HWV020-2 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.03 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.08/0.34 % Computer : n010.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.08/0.34 % CPULimit : 300
% 0.08/0.34 % WCLimit : 300
% 0.08/0.34 % DateTime : Wed Sep 23 16:26:42 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.35 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 12.99/2.16 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 12.99/2.16 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------