%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : HWV010-3 : 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 01:37:44 PM UTC 2026
% Result : Unsatisfiable 6.08s 1.24s
% Output : Proof 6.08s
% Verified :
% Comments :
%------------------------------------------------------------------------------
cnf(t164,axiom,
sF3 = ifeq(p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(t_206)),true,false,true),
introduced(definition) ).
cnf(t162,axiom,
sF1 = fwork_DOTfifo_DOTrtl_DOTempty_(t_206),
introduced(definition) ).
cnf(t176,plain,
fwork_DOTfifo_DOTrtl_DOTempty_(t_206) = sF1,
inference(orient,[status(thm)],[t162]) ).
cnf(t658,plain,
sF3 = ifeq(p__pred_(sF1),true,false,true),
inference(step,[status(thm)],[t164,t176]) ).
cnf(f134,negated_conjecture,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(t_206)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_2) ).
fof(f134_nnf,plain,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(t_206)),
inference(nnf_transformation,[status(thm)],[f134]) ).
fof(f134_sk,plain,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(t_206)),
inference(skolemisation,[status(esa)],[f134_nnf]) ).
cnf(c134,plain,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(t_206)),
inference(cnf_transformation,[status(esa)],[f134_sk]) ).
cnf(t15,plain,
p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(t_206)) = false,
inference(equality_encoding,[status(esa)],[c134]) ).
cnf(t620,plain,
p__pred_(sF1) = false,
inference(step,[status(thm)],[t15,t176]) ).
cnf(t185,plain,
p__pred_(sF1) = false,
inference(orient,[status(thm)],[t620]) ).
cnf(t163,axiom,
sF2 = p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(t_206)),
introduced(definition) ).
cnf(t621,plain,
sF2 = p__pred_(sF1),
inference(step,[status(thm)],[t163,t176]) ).
cnf(t622,plain,
sF2 = false,
inference(step,[status(thm)],[t621,t185]) ).
cnf(t186,plain,
false = sF2,
inference(orient,[status(thm)],[t622]) ).
cnf(t632,plain,
p__pred_(sF1) = sF2,
inference(step,[status(thm)],[t185,t186]) ).
cnf(t196,plain,
p__pred_(sF1) = sF2,
inference(orient,[status(thm)],[t632]) ).
cnf(t659,plain,
sF3 = ifeq(sF2,true,false,true),
inference(step,[status(thm)],[t658,t196]) ).
cnf(t660,plain,
sF3 = ifeq(sF2,true,sF2,true),
inference(step,[status(thm)],[t659,t186]) ).
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(t22,plain,
ifeq(p__pred_(f__false_),true,false,true) = true,
inference(equality_encoding,[status(esa)],[c95]) ).
cnf(t4,plain,
p__pred_(f__false_) = false,
inference(equality_encoding,[status(esa)],[c95]) ).
cnf(t169,plain,
p__pred_(f__false_) = false,
inference(orient,[status(thm)],[t4]) ).
cnf(t626,plain,
p__pred_(f__false_) = sF2,
inference(step,[status(thm)],[t169,t186]) ).
cnf(t190,plain,
p__pred_(f__false_) = sF2,
inference(orient,[status(thm)],[t626]) ).
cnf(t642,plain,
ifeq(sF2,true,false,true) = true,
inference(step,[status(thm)],[t22,t190]) ).
cnf(t643,plain,
ifeq(sF2,true,sF2,true) = true,
inference(step,[status(thm)],[t642,t186]) ).
cnf(t232,plain,
ifeq(sF2,true,sF2,true) = true,
inference(orient,[status(thm)],[t643]) ).
cnf(t661,plain,
sF3 = true,
inference(step,[status(thm)],[t660,t232]) ).
cnf(t520,plain,
true = sF3,
inference(orient,[status(thm)],[t661]) ).
cnf(f6,axiom,
( fwork_DOTfifo_DOTrtl_DOTint__level_(T_3) != n0
| p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(T_3)) ),
file('/export/starexec/sandbox2/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(t38,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(t161,axiom,
sF0 = fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),
introduced(definition) ).
cnf(f133,negated_conjecture,
fwork_DOTfifo_DOTrtl_DOTlevel_(t_206) = n0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_1) ).
fof(f133_nnf,plain,
fwork_DOTfifo_DOTrtl_DOTlevel_(t_206) = n0,
inference(nnf_transformation,[status(thm)],[f133]) ).
cnf(c133,plain,
fwork_DOTfifo_DOTrtl_DOTlevel_(t_206) = n0,
inference(cnf_transformation,[status(esa)],[f133_nnf]) ).
cnf(u0,axiom,
fwork_DOTfifo_DOTrtl_DOTlevel_(t_206) = n0,
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(t1,plain,
fwork_DOTfifo_DOTrtl_DOTint__level_(t_206) = n0,
inference(definition_unfolding,[status(thm)],[u0,d0]) ).
cnf(t166,plain,
fwork_DOTfifo_DOTrtl_DOTint__level_(t_206) = n0,
inference(orient,[status(thm)],[t1]) ).
cnf(t614,plain,
sF0 = n0,
inference(step,[status(thm)],[t161,t166]) ).
cnf(t171,plain,
n0 = sF0,
inference(orient,[status(thm)],[t614]) ).
cnf(t702,plain,
ifeq(fwork_DOTfifo_DOTrtl_DOTint__level_(X1),sF0,p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(X1)),true) = true,
inference(step,[status(thm)],[t38,t171]) ).
cnf(t703,plain,
ifeq(fwork_DOTfifo_DOTrtl_DOTint__level_(X1),sF0,p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(X1)),sF3) = true,
inference(step,[status(thm)],[t702,t520]) ).
cnf(t704,plain,
ifeq(fwork_DOTfifo_DOTrtl_DOTint__level_(X1),sF0,p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(X1)),sF3) = sF3,
inference(step,[status(thm)],[t703,t520]) ).
cnf(t572,plain,
ifeq(fwork_DOTfifo_DOTrtl_DOTint__level_(X1),sF0,p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(X1)),sF3) = sF3,
inference(orient,[status(thm)],[t704]) ).
cnf(t617,plain,
fwork_DOTfifo_DOTrtl_DOTint__level_(t_206) = sF0,
inference(step,[status(thm)],[t166,t171]) ).
cnf(t174,plain,
fwork_DOTfifo_DOTrtl_DOTint__level_(t_206) = sF0,
inference(orient,[status(thm)],[t617]) ).
cnf(t573,plain,
sF3 = ifeq(sF0,sF0,p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(t_206)),sF3),
inference(cp,[status(thm)],[t572,t174]) ).
cnf(t18,plain,
ifeq(X1,X1,X2,X3) = X2,
introduced(definition) ).
cnf(t208,plain,
ifeq(X1,X1,X2,X3) = X2,
inference(orient,[status(thm)],[t18]) ).
cnf(t705,plain,
sF3 = p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(t_206)),
inference(step,[status(thm)],[t573,t208]) ).
cnf(t706,plain,
sF3 = p__pred_(sF1),
inference(step,[status(thm)],[t705,t176]) ).
cnf(t707,plain,
sF3 = sF2,
inference(step,[status(thm)],[t706,t196]) ).
cnf(t574,plain,
sF3 = sF2,
inference(orient,[status(thm)],[t707]) ).
cnf(t736,plain,
true = sF2,
inference(step,[status(thm)],[t520,t574]) ).
cnf(t603,plain,
true = sF2,
inference(orient,[status(thm)],[t736]) ).
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(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(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,c134]) ).
cnf(g0_0,plain,
sF2 != false,
inference(rw,[status(thm)],[goal_0,t603]) ).
cnf(g0_1,plain,
sF2 != sF2,
inference(rw,[status(thm)],[g0_0,t186]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : HWV010-3 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.11/0.36 % Computer : n005.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Wed Sep 23 16:22:32 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 6.08/1.24 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.08/1.24 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------