%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : HWV025-3 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n016.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 01:38:11 PM UTC 2026
% Result : Unsatisfiable 22.47s 3.96s
% Output : Proof 22.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 25
% Syntax : Number of formulae : 127 ( 71 unt; 0 def)
% Number of atoms : 239 ( 51 equ)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 282 ( 170 ~; 112 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 27 ( 27 usr; 9 con; 0-4 aty)
% Number of variables : 118 ( 10 sgn 52 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(f25,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_DOTrd__error_(f_ADD_(T_13,n1)))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(T_13)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_27) ).
fof(f25_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_DOTrd__error_(f_ADD_(T_13,n1)))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(T_13)) ),
inference(nnf_transformation,[status(thm)],[f25]) ).
fof(f25_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_DOTrd__error_(f_ADD_(T_13,n1)))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(T_13)) ),
inference(skolemisation,[status(esa)],[f25_nnf]) ).
cnf(c25,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_DOTrd__error_(f_ADD_(X0,n1)))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(X0)) ),
inference(cnf_transformation,[status(esa)],[f25_sk]) ).
cnf(t130,plain,
ifeq(p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(X1,n1))),true,ifeq(p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X1)),true,or(p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(X1)),or(p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X1)),p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X1)))),true),true) = true,
inference(equality_encoding,[status(esa)],[c25]) ).
cnf(t289,plain,
ifeq(p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(X1,n1))),true,ifeq(p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X1)),true,or(p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(X1)),or(p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X1)),p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X1)))),true),true) = true,
inference(orient,[status(thm)],[t130]) ).
cnf(f51,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_DOTrd__error_(f_ADD_(T_13,n1)))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(T_13)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_53) ).
fof(f51_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_DOTrd__error_(f_ADD_(T_13,n1)))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(T_13)) ),
inference(nnf_transformation,[status(thm)],[f51]) ).
fof(f51_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_DOTrd__error_(f_ADD_(T_13,n1)))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(T_13)) ),
inference(skolemisation,[status(esa)],[f51_nnf]) ).
cnf(c51,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_DOTrd__error_(f_ADD_(X0,n1)))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(X0)) ),
inference(cnf_transformation,[status(esa)],[f51_sk]) ).
cnf(t127,plain,
ifeq(p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(X1,n1))),true,or(p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(X1)),or(p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X1)),or(p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X1)),p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X1))))),true) = true,
inference(equality_encoding,[status(esa)],[c51]) ).
cnf(t299,plain,
ifeq(p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(X1,n1))),true,or(p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(X1)),or(p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X1)),or(p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X1)),p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X1))))),true) = true,
inference(orient,[status(thm)],[t127]) ).
cnf(f136,negated_conjecture,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(t_206)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_4) ).
fof(f136_nnf,plain,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(t_206)),
inference(nnf_transformation,[status(thm)],[f136]) ).
fof(f136_sk,plain,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(t_206)),
inference(skolemisation,[status(esa)],[f136_nnf]) ).
cnf(c136,plain,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(t_206)),
inference(cnf_transformation,[status(esa)],[f136_sk]) ).
cnf(t16,plain,
p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(t_206)) = false,
inference(equality_encoding,[status(esa)],[c136]) ).
cnf(t712,plain,
p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(t_206)) = false,
inference(orient,[status(thm)],[t16]) ).
cnf(t755,plain,
true = ifeq(p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(t_206,n1))),true,or(false,or(p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206)),or(p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)),p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206))))),true),
inference(cp,[status(thm)],[t299,t712]) ).
cnf(f135,negated_conjecture,
p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(t_206,n1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_3) ).
fof(f135_nnf,plain,
p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(t_206,n1))),
inference(nnf_transformation,[status(thm)],[f135]) ).
cnf(c135,plain,
p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(t_206,n1))),
inference(cnf_transformation,[status(esa)],[f135_nnf]) ).
cnf(t23,plain,
p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(t_206,n1))) = true,
inference(equality_encoding,[status(esa)],[c135]) ).
cnf(t179,plain,
p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(t_206,n1))) = true,
inference(orient,[status(thm)],[t23]) ).
cnf(t1249,plain,
true = ifeq(true,true,or(false,or(p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206)),or(p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)),p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206))))),true),
inference(step,[status(thm)],[t755,t179]) ).
cnf(t20,plain,
ifeq(X1,X1,X2,X3) = X2,
introduced(definition) ).
cnf(t166,plain,
ifeq(X1,X1,X2,X3) = X2,
inference(orient,[status(thm)],[t20]) ).
cnf(t1250,plain,
true = or(false,or(p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206)),or(p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)),p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206))))),
inference(step,[status(thm)],[t1249,t166]) ).
cnf(t12,plain,
or(false,X1) = X1,
introduced(definition) ).
cnf(t174,plain,
or(false,X1) = X1,
inference(orient,[status(thm)],[t12]) ).
cnf(t1251,plain,
true = or(p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206)),or(p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)),p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)))),
inference(step,[status(thm)],[t1250,t174]) ).
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]) ).
fof(f133_sk,plain,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206)),
inference(skolemisation,[status(esa)],[f133_nnf]) ).
cnf(c133,plain,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206)),
inference(cnf_transformation,[status(esa)],[f133_sk]) ).
cnf(t15,plain,
p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206)) = false,
inference(equality_encoding,[status(esa)],[c133]) ).
cnf(t630,plain,
p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206)) = false,
inference(orient,[status(thm)],[t15]) ).
cnf(t1252,plain,
true = or(false,or(p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)),p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)))),
inference(step,[status(thm)],[t1251,t630]) ).
cnf(t1253,plain,
true = or(p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)),p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206))),
inference(step,[status(thm)],[t1252,t174]) ).
cnf(f134,negated_conjecture,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_2) ).
fof(f134_nnf,plain,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)),
inference(nnf_transformation,[status(thm)],[f134]) ).
fof(f134_sk,plain,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)),
inference(skolemisation,[status(esa)],[f134_nnf]) ).
cnf(c134,plain,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)),
inference(cnf_transformation,[status(esa)],[f134_sk]) ).
cnf(t17,plain,
p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)) = false,
inference(equality_encoding,[status(esa)],[c134]) ).
cnf(t540,plain,
p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)) = false,
inference(orient,[status(thm)],[t17]) ).
cnf(t1254,plain,
true = or(p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)),false),
inference(step,[status(thm)],[t1253,t540]) ).
cnf(t10,plain,
or(X1,false) = X1,
introduced(definition) ).
cnf(t173,plain,
or(X1,false) = X1,
inference(orient,[status(thm)],[t10]) ).
cnf(t1255,plain,
true = p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)),
inference(step,[status(thm)],[t1254,t173]) ).
cnf(t1116,plain,
p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)) = true,
inference(orient,[status(thm)],[t1255]) ).
cnf(t1161,plain,
true = ifeq(p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(t_206,n1))),true,ifeq(true,true,or(p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(t_206)),or(p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206)),p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)))),true),true),
inference(cp,[status(thm)],[t289,t1116]) ).
cnf(t1256,plain,
true = ifeq(true,true,ifeq(true,true,or(p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(t_206)),or(p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206)),p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)))),true),true),
inference(step,[status(thm)],[t1161,t179]) ).
cnf(t1257,plain,
true = ifeq(true,true,or(p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(t_206)),or(p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206)),p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)))),true),
inference(step,[status(thm)],[t1256,t166]) ).
cnf(t1258,plain,
true = or(p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(t_206)),or(p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206)),p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)))),
inference(step,[status(thm)],[t1257,t166]) ).
cnf(t1259,plain,
true = or(false,or(p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206)),p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)))),
inference(step,[status(thm)],[t1258,t712]) ).
cnf(t1260,plain,
true = or(p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206)),p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206))),
inference(step,[status(thm)],[t1259,t174]) ).
cnf(t1261,plain,
true = or(false,p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206))),
inference(step,[status(thm)],[t1260,t630]) ).
cnf(t1262,plain,
true = p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)),
inference(step,[status(thm)],[t1261,t174]) ).
cnf(t1263,plain,
true = false,
inference(step,[status(thm)],[t1262,t540]) ).
cnf(t1170,plain,
false = true,
inference(orient,[status(thm)],[t1263]) ).
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,c134,c136]) ).
cnf(g0_0,plain,
true != true,
inference(rw,[status(thm)],[goal_0,t1170]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : HWV025-3 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.10/0.96 % Computer : n016.cluster.edu
% 0.10/0.96 % Model : x86_64 x86_64
% 0.10/0.96 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.96 % Memory : 8046.5625MB
% 0.10/0.96 % OS : Linux 6.8.0-71-generic
% 0.10/0.96 % CPULimit : 300
% 0.10/0.96 % WCLimit : 300
% 0.10/0.96 % DateTime : Wed Sep 23 16:33:14 UTC 2026
% 0.10/0.96 % CPUTime :
% 0.10/0.96 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 22.47/3.96 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 22.47/3.96 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------