%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SYN129-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n002.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 03:33:53 PM UTC 2026
% Result : Unsatisfiable 10.13s 7.04s
% Output : Proof 10.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 27
% Syntax : Number of formulae : 150 ( 82 unt; 0 def)
% Number of atoms : 294 ( 47 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 294 ( 150 ~; 144 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 22 ( 20 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-4 aty)
% Number of variables : 224 ( 47 sgn 86 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(f38,axiom,
( ~ n0(J,I)
| k1(I) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_001) ).
fof(f38_nnf,plain,
! [I,J] :
( ~ n0(J,I)
| k1(I) ),
inference(nnf_transformation,[status(thm)],[f38]) ).
fof(f38_sk,plain,
! [I,J] :
( ~ n0(J,I)
| k1(I) ),
inference(skolemisation,[status(esa)],[f38_nnf]) ).
cnf(c38,plain,
( ~ n0(X1,X0)
| k1(X0) ),
inference(cnf_transformation,[status(esa)],[f38_sk]) ).
cnf(hi38,axiom,
ifeq(n0(X0,X1),true,k1(X1),true) = true,
inference(equality_encoding,[status(esa)],[c38]) ).
cnf(f2,axiom,
n0(d,e),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
fof(f2_nnf,plain,
n0(d,e),
inference(nnf_transformation,[status(thm)],[f2]) ).
cnf(c2,plain,
n0(d,e),
inference(cnf_transformation,[status(esa)],[f2_nnf]) ).
cnf(hi2,axiom,
n0(d,e) = true,
inference(equality_encoding,[status(esa)],[c2]) ).
cnf(h26,plain,
k1(e) = true,
inference(hyper_resolution,[status(thm)],[hi38,hi2]) ).
cnf(f162,axiom,
( ~ p0(I,I)
| s1(I) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_125) ).
fof(f162_nnf,plain,
! [I] :
( ~ p0(I,I)
| s1(I) ),
inference(nnf_transformation,[status(thm)],[f162]) ).
fof(f162_sk,plain,
! [I] :
( ~ p0(I,I)
| s1(I) ),
inference(skolemisation,[status(esa)],[f162_nnf]) ).
cnf(c162,plain,
( ~ p0(X0,X0)
| s1(X0) ),
inference(cnf_transformation,[status(esa)],[f162_sk]) ).
cnf(hi160,axiom,
ifeq(p0(X0,X0),true,s1(X0),true) = true,
inference(equality_encoding,[status(esa)],[c162]) ).
cnf(f13,axiom,
p0(b,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_14) ).
fof(f13_nnf,plain,
! [X] : p0(b,X),
inference(nnf_transformation,[status(thm)],[f13]) ).
fof(f13_sk,plain,
! [X] : p0(b,X),
inference(skolemisation,[status(esa)],[f13_nnf]) ).
cnf(c13,plain,
p0(b,X0),
inference(cnf_transformation,[status(esa)],[f13_sk]) ).
cnf(hi13,axiom,
p0(b,X0) = true,
inference(equality_encoding,[status(esa)],[c13]) ).
cnf(h34,plain,
s1(b) = true,
inference(hyper_resolution,[status(thm)],[hi160,hi13]) ).
cnf(f163,axiom,
( ~ s1(H)
| ~ q0(F,G)
| s1(F) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_126) ).
fof(f163_nnf,plain,
! [F,G,H] :
( ~ s1(H)
| ~ q0(F,G)
| s1(F) ),
inference(nnf_transformation,[status(thm)],[f163]) ).
fof(f163_sk,plain,
! [F,G,H] :
( ~ s1(H)
| ~ q0(F,G)
| s1(F) ),
inference(skolemisation,[status(esa)],[f163_nnf]) ).
cnf(c163,plain,
( ~ s1(X2)
| ~ q0(X0,X1)
| s1(X0) ),
inference(cnf_transformation,[status(esa)],[f163_sk]) ).
cnf(hi161,axiom,
ifeq(q0(X0,X1),true,ifeq(s1(X2),true,s1(X0),true),true) = true,
inference(equality_encoding,[status(esa)],[c163]) ).
cnf(f16,axiom,
q0(X,d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_17) ).
fof(f16_nnf,plain,
! [X] : q0(X,d),
inference(nnf_transformation,[status(thm)],[f16]) ).
fof(f16_sk,plain,
! [X] : q0(X,d),
inference(skolemisation,[status(esa)],[f16_nnf]) ).
cnf(c16,plain,
q0(X0,d),
inference(cnf_transformation,[status(esa)],[f16_sk]) ).
cnf(hi16,axiom,
q0(X0,d) = true,
inference(equality_encoding,[status(esa)],[c16]) ).
cnf(h51,plain,
s1(V0) = true,
inference(hyper_resolution,[status(thm)],[hi161,hi16,h34]) ).
cnf(f227,axiom,
( ~ s0(d)
| ~ s1(a)
| s2(d) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_190) ).
fof(f227_nnf,plain,
( ~ s0(d)
| ~ s1(a)
| s2(d) ),
inference(nnf_transformation,[status(thm)],[f227]) ).
fof(f227_sk,plain,
( ~ s0(d)
| ~ s1(a)
| s2(d) ),
inference(skolemisation,[status(esa)],[f227_nnf]) ).
cnf(c227,plain,
( ~ s0(d)
| ~ s1(a)
| s2(d) ),
inference(cnf_transformation,[status(esa)],[f227_sk]) ).
cnf(hi224,axiom,
ifeq(s1(a),true,ifeq(s0(d),true,s2(d),true),true) = true,
inference(equality_encoding,[status(esa)],[c227]) ).
cnf(f0,axiom,
s0(d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1) ).
fof(f0_nnf,plain,
s0(d),
inference(nnf_transformation,[status(thm)],[f0]) ).
cnf(c0,plain,
s0(d),
inference(cnf_transformation,[status(esa)],[f0_nnf]) ).
cnf(hi0,axiom,
s0(d) = true,
inference(equality_encoding,[status(esa)],[c0]) ).
cnf(h55,plain,
s2(d) = true,
inference(hyper_resolution,[status(thm)],[hi224,h51,hi0]) ).
cnf(f170,axiom,
( ~ m0(C,B,J)
| ~ s1(B)
| ~ p0(A,A)
| l2(J,J) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_133) ).
fof(f170_nnf,plain,
! [J,A,B,C] :
( ~ m0(C,B,J)
| ~ s1(B)
| ~ p0(A,A)
| l2(J,J) ),
inference(nnf_transformation,[status(thm)],[f170]) ).
fof(f170_sk,plain,
! [J,A,B,C] :
( ~ m0(C,B,J)
| ~ s1(B)
| ~ p0(A,A)
| l2(J,J) ),
inference(skolemisation,[status(esa)],[f170_nnf]) ).
cnf(c170,plain,
( ~ m0(X3,X2,X0)
| ~ s1(X2)
| ~ p0(X1,X1)
| l2(X0,X0) ),
inference(cnf_transformation,[status(esa)],[f170_sk]) ).
cnf(hi167,axiom,
ifeq(p0(X0,X0),true,ifeq(s1(X1),true,ifeq(m0(X2,X1,X3),true,l2(X3,X3),true),true),true) = true,
inference(equality_encoding,[status(esa)],[c170]) ).
cnf(f18,axiom,
m0(X,d,Y),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_19) ).
fof(f18_nnf,plain,
! [X,Y] : m0(X,d,Y),
inference(nnf_transformation,[status(thm)],[f18]) ).
fof(f18_sk,plain,
! [X,Y] : m0(X,d,Y),
inference(skolemisation,[status(esa)],[f18_nnf]) ).
cnf(c18,plain,
m0(X0,d,X1),
inference(cnf_transformation,[status(esa)],[f18_sk]) ).
cnf(hi18,axiom,
m0(X0,d,X1) = true,
inference(equality_encoding,[status(esa)],[c18]) ).
cnf(h115,plain,
l2(V0,V0) = true,
inference(hyper_resolution,[status(thm)],[hi167,hi13,h51,hi18]) ).
cnf(f168,axiom,
( ~ l2(E,E)
| ~ n0(e,E)
| ~ s1(D)
| l2(D,E) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_131) ).
fof(f168_nnf,plain,
! [D,E] :
( ~ l2(E,E)
| ~ n0(e,E)
| ~ s1(D)
| l2(D,E) ),
inference(nnf_transformation,[status(thm)],[f168]) ).
fof(f168_sk,plain,
! [D,E] :
( ~ l2(E,E)
| ~ n0(e,E)
| ~ s1(D)
| l2(D,E) ),
inference(skolemisation,[status(esa)],[f168_nnf]) ).
cnf(c168,plain,
( ~ l2(X1,X1)
| ~ n0(e,X1)
| ~ s1(X0)
| l2(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f168_sk]) ).
cnf(hi166,axiom,
ifeq(s1(X0),true,ifeq(n0(e,X1),true,ifeq(l2(X1,X1),true,l2(X0,X1),true),true),true) = true,
inference(equality_encoding,[status(esa)],[c168]) ).
cnf(f29,axiom,
n0(e,e),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_30) ).
fof(f29_nnf,plain,
n0(e,e),
inference(nnf_transformation,[status(thm)],[f29]) ).
cnf(c29,plain,
n0(e,e),
inference(cnf_transformation,[status(esa)],[f29_nnf]) ).
cnf(hi29,axiom,
n0(e,e) = true,
inference(equality_encoding,[status(esa)],[c29]) ).
cnf(h137,plain,
l2(V0,e) = true,
inference(hyper_resolution,[status(thm)],[hi166,h51,hi29,h115]) ).
cnf(f262,axiom,
( ~ s2(B)
| ~ m0(J,C,C)
| ~ l2(C,J)
| ~ m0(B,B,A)
| m3(J,A,J) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_225) ).
fof(f262_nnf,plain,
! [J,A,B,C] :
( ~ s2(B)
| ~ m0(J,C,C)
| ~ l2(C,J)
| ~ m0(B,B,A)
| m3(J,A,J) ),
inference(nnf_transformation,[status(thm)],[f262]) ).
fof(f262_sk,plain,
! [J,A,B,C] :
( ~ s2(B)
| ~ m0(J,C,C)
| ~ l2(C,J)
| ~ m0(B,B,A)
| m3(J,A,J) ),
inference(skolemisation,[status(esa)],[f262_nnf]) ).
cnf(c262,plain,
( ~ s2(X2)
| ~ m0(X0,X3,X3)
| ~ l2(X3,X0)
| ~ m0(X2,X2,X1)
| m3(X0,X1,X0) ),
inference(cnf_transformation,[status(esa)],[f262_sk]) ).
cnf(hi257,axiom,
ifeq(m0(X0,X0,X1),true,ifeq(l2(X2,X3),true,ifeq(m0(X3,X2,X2),true,ifeq(s2(X0),true,m3(X3,X1,X3),true),true),true),true) = true,
inference(equality_encoding,[status(esa)],[c262]) ).
cnf(h142,plain,
m3(e,V0,e) = true,
inference(hyper_resolution,[status(thm)],[hi257,hi18,h137,hi18,h55]) ).
cnf(f6,axiom,
n0(d,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_7) ).
fof(f6_nnf,plain,
n0(d,b),
inference(nnf_transformation,[status(thm)],[f6]) ).
cnf(c6,plain,
n0(d,b),
inference(cnf_transformation,[status(esa)],[f6_nnf]) ).
cnf(hi6,axiom,
n0(d,b) = true,
inference(equality_encoding,[status(esa)],[c6]) ).
cnf(h30,plain,
k1(b) = true,
inference(hyper_resolution,[status(thm)],[hi38,hi6]) ).
cnf(f220,axiom,
( ~ l2(E,D)
| ~ l0(c)
| ~ k1(E)
| q2(D,c,E) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_183) ).
fof(f220_nnf,plain,
! [D,E] :
( ~ l2(E,D)
| ~ l0(c)
| ~ k1(E)
| q2(D,c,E) ),
inference(nnf_transformation,[status(thm)],[f220]) ).
fof(f220_sk,plain,
! [D,E] :
( ~ l2(E,D)
| ~ l0(c)
| ~ k1(E)
| q2(D,c,E) ),
inference(skolemisation,[status(esa)],[f220_nnf]) ).
cnf(c220,plain,
( ~ l2(X1,X0)
| ~ l0(c)
| ~ k1(X1)
| q2(X0,c,X1) ),
inference(cnf_transformation,[status(esa)],[f220_sk]) ).
cnf(hi217,axiom,
ifeq(k1(X0),true,ifeq(l0(c),true,ifeq(l2(X0,X1),true,q2(X1,c,X0),true),true),true) = true,
inference(equality_encoding,[status(esa)],[c220]) ).
cnf(f23,axiom,
l0(c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_24) ).
fof(f23_nnf,plain,
l0(c),
inference(nnf_transformation,[status(thm)],[f23]) ).
cnf(c23,plain,
l0(c),
inference(cnf_transformation,[status(esa)],[f23_nnf]) ).
cnf(hi23,axiom,
l0(c) = true,
inference(equality_encoding,[status(esa)],[c23]) ).
cnf(h146,plain,
q2(e,c,b) = true,
inference(hyper_resolution,[status(thm)],[hi217,h30,hi23,h137]) ).
cnf(f173,axiom,
( ~ k1(b)
| m2(b) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_136) ).
fof(f173_nnf,plain,
( ~ k1(b)
| m2(b) ),
inference(nnf_transformation,[status(thm)],[f173]) ).
fof(f173_sk,plain,
( ~ k1(b)
| m2(b) ),
inference(skolemisation,[status(esa)],[f173_nnf]) ).
cnf(c173,plain,
( ~ k1(b)
| m2(b) ),
inference(cnf_transformation,[status(esa)],[f173_sk]) ).
cnf(hi170,axiom,
ifeq(k1(b),true,m2(b),true) = true,
inference(equality_encoding,[status(esa)],[c173]) ).
cnf(h32,plain,
m2(b) = true,
inference(hyper_resolution,[status(thm)],[hi170,h30]) ).
cnf(f249,axiom,
( ~ m2(B)
| k3(B,B,B) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_212) ).
fof(f249_nnf,plain,
! [B] :
( ~ m2(B)
| k3(B,B,B) ),
inference(nnf_transformation,[status(thm)],[f249]) ).
fof(f249_sk,plain,
! [B] :
( ~ m2(B)
| k3(B,B,B) ),
inference(skolemisation,[status(esa)],[f249_nnf]) ).
cnf(c249,plain,
( ~ m2(X0)
| k3(X0,X0,X0) ),
inference(cnf_transformation,[status(esa)],[f249_sk]) ).
cnf(hi244,axiom,
ifeq(m2(X0),true,k3(X0,X0,X0),true) = true,
inference(equality_encoding,[status(esa)],[c249]) ).
cnf(h33,plain,
k3(b,b,b) = true,
inference(hyper_resolution,[status(thm)],[hi244,h32]) ).
cnf(f332,axiom,
( ~ m3(E,F,E)
| ~ q2(E,C,B)
| ~ k3(D,D,B)
| q4(B,C) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_295) ).
fof(f332_nnf,plain,
! [B,C,D,E,F] :
( ~ m3(E,F,E)
| ~ q2(E,C,B)
| ~ k3(D,D,B)
| q4(B,C) ),
inference(nnf_transformation,[status(thm)],[f332]) ).
fof(f332_sk,plain,
! [B,C,D,E,F] :
( ~ m3(E,F,E)
| ~ q2(E,C,B)
| ~ k3(D,D,B)
| q4(B,C) ),
inference(skolemisation,[status(esa)],[f332_nnf]) ).
cnf(c332,plain,
( ~ m3(X3,X4,X3)
| ~ q2(X3,X1,X0)
| ~ k3(X2,X2,X0)
| q4(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f332_sk]) ).
cnf(hi325,axiom,
ifeq(k3(X0,X0,X1),true,ifeq(q2(X2,X3,X1),true,ifeq(m3(X2,X4,X2),true,q4(X1,X3),true),true),true) = true,
inference(equality_encoding,[status(esa)],[c332]) ).
cnf(h336,plain,
q4(b,c) = true,
inference(hyper_resolution,[status(thm)],[hi325,h33,h146,h142]) ).
cnf(f283,axiom,
( ~ l2(D,D)
| p3(D,D,D) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_246) ).
fof(f283_nnf,plain,
! [D] :
( ~ l2(D,D)
| p3(D,D,D) ),
inference(nnf_transformation,[status(thm)],[f283]) ).
fof(f283_sk,plain,
! [D] :
( ~ l2(D,D)
| p3(D,D,D) ),
inference(skolemisation,[status(esa)],[f283_nnf]) ).
cnf(c283,plain,
( ~ l2(X0,X0)
| p3(X0,X0,X0) ),
inference(cnf_transformation,[status(esa)],[f283_sk]) ).
cnf(hi278,axiom,
ifeq(l2(X0,X0),true,p3(X0,X0,X0),true) = true,
inference(equality_encoding,[status(esa)],[c283]) ).
cnf(h130,plain,
p3(V0,V0,V0) = true,
inference(hyper_resolution,[status(thm)],[hi278,h115]) ).
cnf(f314,axiom,
( ~ p3(A,B,J)
| l4(J) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_277) ).
fof(f314_nnf,plain,
! [J,A,B] :
( ~ p3(A,B,J)
| l4(J) ),
inference(nnf_transformation,[status(thm)],[f314]) ).
fof(f314_sk,plain,
! [J,A,B] :
( ~ p3(A,B,J)
| l4(J) ),
inference(skolemisation,[status(esa)],[f314_nnf]) ).
cnf(c314,plain,
( ~ p3(X1,X2,X0)
| l4(X0) ),
inference(cnf_transformation,[status(esa)],[f314_sk]) ).
cnf(hi308,axiom,
ifeq(p3(X0,X1,X2),true,l4(X2),true) = true,
inference(equality_encoding,[status(esa)],[c314]) ).
cnf(h259,plain,
l4(V0) = true,
inference(hyper_resolution,[status(thm)],[hi308,h130]) ).
cnf(f129,axiom,
( ~ p0(C,J)
| ~ n0(B,A)
| q1(J,A,J) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_092) ).
fof(f129_nnf,plain,
! [J,A,B,C] :
( ~ p0(C,J)
| ~ n0(B,A)
| q1(J,A,J) ),
inference(nnf_transformation,[status(thm)],[f129]) ).
fof(f129_sk,plain,
! [J,A,B,C] :
( ~ p0(C,J)
| ~ n0(B,A)
| q1(J,A,J) ),
inference(skolemisation,[status(esa)],[f129_nnf]) ).
cnf(c129,plain,
( ~ p0(X3,X0)
| ~ n0(X2,X1)
| q1(X0,X1,X0) ),
inference(cnf_transformation,[status(esa)],[f129_sk]) ).
cnf(hi127,axiom,
ifeq(n0(X0,X1),true,ifeq(p0(X2,X3),true,q1(X3,X1,X3),true),true) = true,
inference(equality_encoding,[status(esa)],[c129]) ).
cnf(f33,axiom,
n0(c,d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_34) ).
fof(f33_nnf,plain,
n0(c,d),
inference(nnf_transformation,[status(thm)],[f33]) ).
cnf(c33,plain,
n0(c,d),
inference(cnf_transformation,[status(esa)],[f33_nnf]) ).
cnf(hi33,axiom,
n0(c,d) = true,
inference(equality_encoding,[status(esa)],[c33]) ).
cnf(h71,plain,
q1(V0,d,V0) = true,
inference(hyper_resolution,[status(thm)],[hi127,hi33,hi13]) ).
cnf(f161,axiom,
( ~ q1(d,E,d)
| ~ s0(d)
| ~ q0(D,E)
| r1(D) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_124) ).
fof(f161_nnf,plain,
! [D,E] :
( ~ q1(d,E,d)
| ~ s0(d)
| ~ q0(D,E)
| r1(D) ),
inference(nnf_transformation,[status(thm)],[f161]) ).
fof(f161_sk,plain,
! [D,E] :
( ~ q1(d,E,d)
| ~ s0(d)
| ~ q0(D,E)
| r1(D) ),
inference(skolemisation,[status(esa)],[f161_nnf]) ).
cnf(c161,plain,
( ~ q1(d,X1,d)
| ~ s0(d)
| ~ q0(X0,X1)
| r1(X0) ),
inference(cnf_transformation,[status(esa)],[f161_sk]) ).
cnf(hi159,axiom,
ifeq(q0(X0,X1),true,ifeq(s0(d),true,ifeq(q1(d,X1,d),true,r1(X0),true),true),true) = true,
inference(equality_encoding,[status(esa)],[c161]) ).
cnf(h215,plain,
r1(V0) = true,
inference(hyper_resolution,[status(thm)],[hi159,hi16,hi0,h71]) ).
cnf(f333,axiom,
( ~ q4(J,A)
| ~ l4(J)
| ~ r1(I)
| q4(I,I) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_296) ).
fof(f333_nnf,plain,
! [I,J,A] :
( ~ q4(J,A)
| ~ l4(J)
| ~ r1(I)
| q4(I,I) ),
inference(nnf_transformation,[status(thm)],[f333]) ).
fof(f333_sk,plain,
! [I,J,A] :
( ~ q4(J,A)
| ~ l4(J)
| ~ r1(I)
| q4(I,I) ),
inference(skolemisation,[status(esa)],[f333_nnf]) ).
cnf(c333,plain,
( ~ q4(X1,X2)
| ~ l4(X1)
| ~ r1(X0)
| q4(X0,X0) ),
inference(cnf_transformation,[status(esa)],[f333_sk]) ).
cnf(hi326,axiom,
ifeq(r1(X0),true,ifeq(l4(X1),true,ifeq(q4(X1,X2),true,q4(X0,X0),true),true),true) = true,
inference(equality_encoding,[status(esa)],[c333]) ).
cnf(h338,plain,
q4(V0,V0) = true,
inference(hyper_resolution,[status(thm)],[hi326,h215,h259,h336]) ).
cnf(f339,axiom,
( ~ k1(H)
| ~ q4(I,I)
| l5(H) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_302) ).
fof(f339_nnf,plain,
! [H,I] :
( ~ k1(H)
| ~ q4(I,I)
| l5(H) ),
inference(nnf_transformation,[status(thm)],[f339]) ).
fof(f339_sk,plain,
! [H,I] :
( ~ k1(H)
| ~ q4(I,I)
| l5(H) ),
inference(skolemisation,[status(esa)],[f339_nnf]) ).
cnf(c339,plain,
( ~ k1(X0)
| ~ q4(X1,X1)
| l5(X0) ),
inference(cnf_transformation,[status(esa)],[f339_sk]) ).
cnf(hi332,axiom,
ifeq(q4(X0,X0),true,ifeq(k1(X1),true,l5(X1),true),true) = true,
inference(equality_encoding,[status(esa)],[c339]) ).
cnf(t9,plain,
l5(e) = true,
inference(hyper_resolution,[status(thm)],[hi332,h338,h26]) ).
cnf(t186,plain,
l5(e) = true,
inference(orient,[status(thm)],[t9]) ).
cnf(f368,negated_conjecture,
~ l5(e),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
fof(f368_nnf,plain,
~ l5(e),
inference(nnf_transformation,[status(thm)],[f368]) ).
fof(f368_sk,plain,
~ l5(e),
inference(skolemisation,[status(esa)],[f368_nnf]) ).
cnf(c368,plain,
~ l5(e),
inference(cnf_transformation,[status(esa)],[f368_sk]) ).
cnf(goal_0,negated_conjecture,
l5(e) != true,
inference(equality_encoding,[status(esa)],[c368]) ).
cnf(g0_0,plain,
true != true,
inference(rw,[status(thm)],[goal_0,t186]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN129-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.11/5.37 % Computer : n002.cluster.edu
% 0.11/5.37 % Model : x86_64 x86_64
% 0.11/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.37 % Memory : 8046.5625MB
% 0.11/5.37 % OS : Linux 6.8.0-71-generic
% 0.11/5.37 % CPULimit : 300
% 0.11/5.37 % WCLimit : 300
% 0.11/5.37 % DateTime : Fri Sep 25 00:18:28 UTC 2026
% 0.11/5.38 % CPUTime :
% 0.11/5.38 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 10.13/7.04 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 10.13/7.04 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------