%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SYN159-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n017.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 03:33:57 PM UTC 2026
% Result : Unsatisfiable 8.46s 6.89s
% Output : Proof 8.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 33
% Syntax : Number of formulae : 188 ( 96 unt; 0 def)
% Number of atoms : 360 ( 61 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 350 ( 178 ~; 172 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 28 ( 26 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-4 aty)
% Number of variables : 322 ( 74 sgn 120 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(f40,axiom,
( ~ m0(D,C,E)
| ~ r0(F)
| ~ p0(E,C)
| l1(C,D) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_003) ).
fof(f40_nnf,plain,
! [C,D,E,F] :
( ~ m0(D,C,E)
| ~ r0(F)
| ~ p0(E,C)
| l1(C,D) ),
inference(nnf_transformation,[status(thm)],[f40]) ).
fof(f40_sk,plain,
! [C,D,E,F] :
( ~ m0(D,C,E)
| ~ r0(F)
| ~ p0(E,C)
| l1(C,D) ),
inference(skolemisation,[status(esa)],[f40_nnf]) ).
cnf(c40,plain,
( ~ m0(X1,X0,X2)
| ~ r0(X3)
| ~ p0(X2,X0)
| l1(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f40_sk]) ).
cnf(hi40,axiom,
ifeq(p0(X0,X1),true,ifeq(r0(X2),true,ifeq(m0(X3,X1,X0),true,l1(X1,X3),true),true),true) = true,
inference(equality_encoding,[status(esa)],[c40]) ).
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(f12,axiom,
r0(e),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_13) ).
fof(f12_nnf,plain,
r0(e),
inference(nnf_transformation,[status(thm)],[f12]) ).
cnf(c12,plain,
r0(e),
inference(cnf_transformation,[status(esa)],[f12_nnf]) ).
cnf(hi12,axiom,
r0(e) = true,
inference(equality_encoding,[status(esa)],[c12]) ).
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(h127,plain,
l1(d,V0) = true,
inference(hyper_resolution,[status(thm)],[hi40,hi13,hi12,hi18]) ).
cnf(f223,axiom,
( ~ l1(H,G)
| q2(G,G,H) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_186) ).
fof(f223_nnf,plain,
! [G,H] :
( ~ l1(H,G)
| q2(G,G,H) ),
inference(nnf_transformation,[status(thm)],[f223]) ).
fof(f223_sk,plain,
! [G,H] :
( ~ l1(H,G)
| q2(G,G,H) ),
inference(skolemisation,[status(esa)],[f223_nnf]) ).
cnf(c223,plain,
( ~ l1(X1,X0)
| q2(X0,X0,X1) ),
inference(cnf_transformation,[status(esa)],[f223_sk]) ).
cnf(hi220,axiom,
ifeq(l1(X0,X1),true,q2(X1,X1,X0),true) = true,
inference(equality_encoding,[status(esa)],[c223]) ).
cnf(h139,plain,
q2(V0,V0,d) = true,
inference(hyper_resolution,[status(thm)],[hi220,h127]) ).
cnf(f292,axiom,
( ~ n0(I,G)
| ~ q2(I,G,H)
| q3(G,H) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_255) ).
fof(f292_nnf,plain,
! [G,H,I] :
( ~ n0(I,G)
| ~ q2(I,G,H)
| q3(G,H) ),
inference(nnf_transformation,[status(thm)],[f292]) ).
fof(f292_sk,plain,
! [G,H,I] :
( ~ n0(I,G)
| ~ q2(I,G,H)
| q3(G,H) ),
inference(skolemisation,[status(esa)],[f292_nnf]) ).
cnf(c292,plain,
( ~ n0(X2,X0)
| ~ q2(X2,X0,X1)
| q3(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f292_sk]) ).
cnf(hi287,axiom,
ifeq(q2(X0,X1,X2),true,ifeq(n0(X0,X1),true,q3(X1,X2),true),true) = true,
inference(equality_encoding,[status(esa)],[c292]) ).
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(h301,plain,
q3(e,d) = true,
inference(hyper_resolution,[status(thm)],[hi287,h139,hi29]) ).
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(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(f96,axiom,
( ~ m0(I,J,H)
| ~ m0(J,A,A)
| n1(H,H,I) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_059) ).
fof(f96_nnf,plain,
! [H,I,J,A] :
( ~ m0(I,J,H)
| ~ m0(J,A,A)
| n1(H,H,I) ),
inference(nnf_transformation,[status(thm)],[f96]) ).
fof(f96_sk,plain,
! [H,I,J,A] :
( ~ m0(I,J,H)
| ~ m0(J,A,A)
| n1(H,H,I) ),
inference(skolemisation,[status(esa)],[f96_nnf]) ).
cnf(c96,plain,
( ~ m0(X1,X2,X0)
| ~ m0(X2,X3,X3)
| n1(X0,X0,X1) ),
inference(cnf_transformation,[status(esa)],[f96_sk]) ).
cnf(hi95,axiom,
ifeq(m0(X0,X1,X1),true,ifeq(m0(X2,X0,X3),true,n1(X3,X3,X2),true),true) = true,
inference(equality_encoding,[status(esa)],[c96]) ).
cnf(h118,plain,
n1(V0,V0,V1) = true,
inference(hyper_resolution,[status(thm)],[hi95,hi18,hi18]) ).
cnf(f294,axiom,
( ~ q3(C,B)
| ~ s2(B)
| ~ n1(D,B,C)
| q3(B,C) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_257) ).
fof(f294_nnf,plain,
! [B,C,D] :
( ~ q3(C,B)
| ~ s2(B)
| ~ n1(D,B,C)
| q3(B,C) ),
inference(nnf_transformation,[status(thm)],[f294]) ).
fof(f294_sk,plain,
! [B,C,D] :
( ~ q3(C,B)
| ~ s2(B)
| ~ n1(D,B,C)
| q3(B,C) ),
inference(skolemisation,[status(esa)],[f294_nnf]) ).
cnf(c294,plain,
( ~ q3(X1,X0)
| ~ s2(X0)
| ~ n1(X2,X0,X1)
| q3(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f294_sk]) ).
cnf(hi289,axiom,
ifeq(n1(X0,X1,X2),true,ifeq(s2(X1),true,ifeq(q3(X2,X1),true,q3(X1,X2),true),true),true) = true,
inference(equality_encoding,[status(esa)],[c294]) ).
cnf(h314,plain,
q3(d,e) = true,
inference(hyper_resolution,[status(thm)],[hi289,h118,h55,h301]) ).
cnf(f212,axiom,
( ~ l1(G,F)
| p2(F,F,F) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_175) ).
fof(f212_nnf,plain,
! [F,G] :
( ~ l1(G,F)
| p2(F,F,F) ),
inference(nnf_transformation,[status(thm)],[f212]) ).
fof(f212_sk,plain,
! [F,G] :
( ~ l1(G,F)
| p2(F,F,F) ),
inference(skolemisation,[status(esa)],[f212_nnf]) ).
cnf(c212,plain,
( ~ l1(X1,X0)
| p2(X0,X0,X0) ),
inference(cnf_transformation,[status(esa)],[f212_sk]) ).
cnf(hi209,axiom,
ifeq(l1(X0,X1),true,p2(X1,X1,X1),true) = true,
inference(equality_encoding,[status(esa)],[c212]) ).
cnf(h140,plain,
p2(V0,V0,V0) = true,
inference(hyper_resolution,[status(thm)],[hi209,h127]) ).
cnf(f277,axiom,
( ~ p2(E,F,D)
| n3(D) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_240) ).
fof(f277_nnf,plain,
! [D,E,F] :
( ~ p2(E,F,D)
| n3(D) ),
inference(nnf_transformation,[status(thm)],[f277]) ).
fof(f277_sk,plain,
! [D,E,F] :
( ~ p2(E,F,D)
| n3(D) ),
inference(skolemisation,[status(esa)],[f277_nnf]) ).
cnf(c277,plain,
( ~ p2(X1,X2,X0)
| n3(X0) ),
inference(cnf_transformation,[status(esa)],[f277_sk]) ).
cnf(hi272,axiom,
ifeq(p2(X0,X1,X2),true,n3(X2),true) = true,
inference(equality_encoding,[status(esa)],[c277]) ).
cnf(h315,plain,
n3(V0) = true,
inference(hyper_resolution,[status(thm)],[hi272,h140]) ).
cnf(f335,axiom,
( ~ p0(J,G)
| ~ q3(H,I)
| ~ n3(G)
| r4(G) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_298) ).
fof(f335_nnf,plain,
! [G,H,I,J] :
( ~ p0(J,G)
| ~ q3(H,I)
| ~ n3(G)
| r4(G) ),
inference(nnf_transformation,[status(thm)],[f335]) ).
fof(f335_sk,plain,
! [G,H,I,J] :
( ~ p0(J,G)
| ~ q3(H,I)
| ~ n3(G)
| r4(G) ),
inference(skolemisation,[status(esa)],[f335_nnf]) ).
cnf(c335,plain,
( ~ p0(X3,X0)
| ~ q3(X1,X2)
| ~ n3(X0)
| r4(X0) ),
inference(cnf_transformation,[status(esa)],[f335_sk]) ).
cnf(hi328,axiom,
ifeq(n3(X0),true,ifeq(q3(X1,X2),true,ifeq(p0(X3,X0),true,r4(X0),true),true),true) = true,
inference(equality_encoding,[status(esa)],[c335]) ).
cnf(h330,plain,
r4(V0) = true,
inference(hyper_resolution,[status(thm)],[hi328,h315,h314,hi13]) ).
cnf(f351,axiom,
( ~ r4(B)
| n5(B,B) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_314) ).
fof(f351_nnf,plain,
! [B] :
( ~ r4(B)
| n5(B,B) ),
inference(nnf_transformation,[status(thm)],[f351]) ).
fof(f351_sk,plain,
! [B] :
( ~ r4(B)
| n5(B,B) ),
inference(skolemisation,[status(esa)],[f351_nnf]) ).
cnf(c351,plain,
( ~ r4(X0)
| n5(X0,X0) ),
inference(cnf_transformation,[status(esa)],[f351_sk]) ).
cnf(hi344,axiom,
ifeq(r4(X0),true,n5(X0,X0),true) = true,
inference(equality_encoding,[status(esa)],[c351]) ).
cnf(h333,plain,
n5(V0,V0) = true,
inference(hyper_resolution,[status(thm)],[hi344,h330]) ).
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(h115,plain,
l2(V0,V0) = true,
inference(hyper_resolution,[status(thm)],[hi167,hi13,h51,hi18]) ).
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(f328,axiom,
( ~ p3(J,J,I)
| p4(I,I,I) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_291) ).
fof(f328_nnf,plain,
! [I,J] :
( ~ p3(J,J,I)
| p4(I,I,I) ),
inference(nnf_transformation,[status(thm)],[f328]) ).
fof(f328_sk,plain,
! [I,J] :
( ~ p3(J,J,I)
| p4(I,I,I) ),
inference(skolemisation,[status(esa)],[f328_nnf]) ).
cnf(c328,plain,
( ~ p3(X1,X1,X0)
| p4(X0,X0,X0) ),
inference(cnf_transformation,[status(esa)],[f328_sk]) ).
cnf(hi321,axiom,
ifeq(p3(X0,X0,X1),true,p4(X1,X1,X1),true) = true,
inference(equality_encoding,[status(esa)],[c328]) ).
cnf(h258,plain,
p4(V0,V0,V0) = true,
inference(hyper_resolution,[status(thm)],[hi321,h130]) ).
cnf(f122,axiom,
( ~ p0(C,B)
| p1(B,B,B) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_085) ).
fof(f122_nnf,plain,
! [B,C] :
( ~ p0(C,B)
| p1(B,B,B) ),
inference(nnf_transformation,[status(thm)],[f122]) ).
fof(f122_sk,plain,
! [B,C] :
( ~ p0(C,B)
| p1(B,B,B) ),
inference(skolemisation,[status(esa)],[f122_nnf]) ).
cnf(c122,plain,
( ~ p0(X1,X0)
| p1(X0,X0,X0) ),
inference(cnf_transformation,[status(esa)],[f122_sk]) ).
cnf(hi120,axiom,
ifeq(p0(X0,X1),true,p1(X1,X1,X1),true) = true,
inference(equality_encoding,[status(esa)],[c122]) ).
cnf(h41,plain,
p1(V0,V0,V0) = true,
inference(hyper_resolution,[status(thm)],[hi120,hi13]) ).
cnf(f174,axiom,
( ~ p1(B,C,A)
| n2(A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_137) ).
fof(f174_nnf,plain,
! [A,B,C] :
( ~ p1(B,C,A)
| n2(A) ),
inference(nnf_transformation,[status(thm)],[f174]) ).
fof(f174_sk,plain,
! [A,B,C] :
( ~ p1(B,C,A)
| n2(A) ),
inference(skolemisation,[status(esa)],[f174_nnf]) ).
cnf(c174,plain,
( ~ p1(X1,X2,X0)
| n2(X0) ),
inference(cnf_transformation,[status(esa)],[f174_sk]) ).
cnf(hi171,axiom,
ifeq(p1(X0,X1,X2),true,n2(X2),true) = true,
inference(equality_encoding,[status(esa)],[c174]) ).
cnf(h190,plain,
n2(V0) = true,
inference(hyper_resolution,[status(thm)],[hi171,h41]) ).
cnf(f273,axiom,
( ~ n2(A)
| m3(A,A,A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_236) ).
fof(f273_nnf,plain,
! [A] :
( ~ n2(A)
| m3(A,A,A) ),
inference(nnf_transformation,[status(thm)],[f273]) ).
fof(f273_sk,plain,
! [A] :
( ~ n2(A)
| m3(A,A,A) ),
inference(skolemisation,[status(esa)],[f273_nnf]) ).
cnf(c273,plain,
( ~ n2(X0)
| m3(X0,X0,X0) ),
inference(cnf_transformation,[status(esa)],[f273_sk]) ).
cnf(hi268,axiom,
ifeq(n2(X0),true,m3(X0,X0,X0),true) = true,
inference(equality_encoding,[status(esa)],[c273]) ).
cnf(h194,plain,
m3(V0,V0,V0) = true,
inference(hyper_resolution,[status(thm)],[hi268,h190]) ).
cnf(f17,axiom,
p0(c,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_18) ).
fof(f17_nnf,plain,
p0(c,b),
inference(nnf_transformation,[status(thm)],[f17]) ).
cnf(c17,plain,
p0(c,b),
inference(cnf_transformation,[status(esa)],[f17_nnf]) ).
cnf(hi17,axiom,
p0(c,b) = true,
inference(equality_encoding,[status(esa)],[c17]) ).
cnf(f26,axiom,
m0(e,b,c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_27) ).
fof(f26_nnf,plain,
m0(e,b,c),
inference(nnf_transformation,[status(thm)],[f26]) ).
cnf(c26,plain,
m0(e,b,c),
inference(cnf_transformation,[status(esa)],[f26_nnf]) ).
cnf(hi26,axiom,
m0(e,b,c) = true,
inference(equality_encoding,[status(esa)],[c26]) ).
cnf(h154,plain,
l1(b,e) = true,
inference(hyper_resolution,[status(thm)],[hi40,hi17,hi12,hi26]) ).
cnf(h155,plain,
q2(e,e,b) = true,
inference(hyper_resolution,[status(thm)],[hi220,h154]) ).
cnf(h348,plain,
q3(e,b) = true,
inference(hyper_resolution,[status(thm)],[hi287,h155,hi29]) ).
cnf(f311,axiom,
( ~ n3(e)
| ~ q3(e,b)
| ~ n0(c,d)
| k4(c) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_274) ).
fof(f311_nnf,plain,
( ~ n3(e)
| ~ q3(e,b)
| ~ n0(c,d)
| k4(c) ),
inference(nnf_transformation,[status(thm)],[f311]) ).
fof(f311_sk,plain,
( ~ n3(e)
| ~ q3(e,b)
| ~ n0(c,d)
| k4(c) ),
inference(skolemisation,[status(esa)],[f311_nnf]) ).
cnf(c311,plain,
( ~ n3(e)
| ~ q3(e,b)
| ~ n0(c,d)
| k4(c) ),
inference(cnf_transformation,[status(esa)],[f311_sk]) ).
cnf(hi306,axiom,
ifeq(n0(c,d),true,ifeq(q3(e,b),true,ifeq(n3(e),true,k4(c),true),true),true) = true,
inference(equality_encoding,[status(esa)],[c311]) ).
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(h350,plain,
k4(c) = true,
inference(hyper_resolution,[status(thm)],[hi306,hi33,h348,h315]) ).
cnf(f321,axiom,
( ~ m3(H,H,H)
| ~ k4(I)
| n4(H,H) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_284) ).
fof(f321_nnf,plain,
! [H,I] :
( ~ m3(H,H,H)
| ~ k4(I)
| n4(H,H) ),
inference(nnf_transformation,[status(thm)],[f321]) ).
fof(f321_sk,plain,
! [H,I] :
( ~ m3(H,H,H)
| ~ k4(I)
| n4(H,H) ),
inference(skolemisation,[status(esa)],[f321_nnf]) ).
cnf(c321,plain,
( ~ m3(X0,X0,X0)
| ~ k4(X1)
| n4(X0,X0) ),
inference(cnf_transformation,[status(esa)],[f321_sk]) ).
cnf(hi314,axiom,
ifeq(k4(X0),true,ifeq(m3(X1,X1,X1),true,n4(X1,X1),true),true) = true,
inference(equality_encoding,[status(esa)],[c321]) ).
cnf(h398,plain,
n4(V0,V0) = true,
inference(hyper_resolution,[status(thm)],[hi314,h350,h194]) ).
cnf(f247,axiom,
( ~ n2(D)
| k3(D,D,D) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_210) ).
fof(f247_nnf,plain,
! [D] :
( ~ n2(D)
| k3(D,D,D) ),
inference(nnf_transformation,[status(thm)],[f247]) ).
fof(f247_sk,plain,
! [D] :
( ~ n2(D)
| k3(D,D,D) ),
inference(skolemisation,[status(esa)],[f247_nnf]) ).
cnf(c247,plain,
( ~ n2(X0)
| k3(X0,X0,X0) ),
inference(cnf_transformation,[status(esa)],[f247_sk]) ).
cnf(hi242,axiom,
ifeq(n2(X0),true,k3(X0,X0,X0),true) = true,
inference(equality_encoding,[status(esa)],[c247]) ).
cnf(h195,plain,
k3(V0,V0,V0) = true,
inference(hyper_resolution,[status(thm)],[hi242,h190]) ).
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(h401,plain,
q4(d,V0) = true,
inference(hyper_resolution,[status(thm)],[hi325,h195,h139,h194]) ).
cnf(f344,axiom,
( ~ n5(F,C)
| ~ p4(F,F,C)
| ~ n4(B,E)
| ~ q4(D,E)
| n5(B,C) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_307) ).
fof(f344_nnf,plain,
! [B,C,D,E,F] :
( ~ n5(F,C)
| ~ p4(F,F,C)
| ~ n4(B,E)
| ~ q4(D,E)
| n5(B,C) ),
inference(nnf_transformation,[status(thm)],[f344]) ).
fof(f344_sk,plain,
! [B,C,D,E,F] :
( ~ n5(F,C)
| ~ p4(F,F,C)
| ~ n4(B,E)
| ~ q4(D,E)
| n5(B,C) ),
inference(skolemisation,[status(esa)],[f344_nnf]) ).
cnf(c344,plain,
( ~ n5(X4,X1)
| ~ p4(X4,X4,X1)
| ~ n4(X0,X3)
| ~ q4(X2,X3)
| n5(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f344_sk]) ).
cnf(hi337,axiom,
ifeq(q4(X0,X1),true,ifeq(n4(X2,X1),true,ifeq(p4(X3,X3,X4),true,ifeq(n5(X3,X4),true,n5(X2,X4),true),true),true),true) = true,
inference(equality_encoding,[status(esa)],[c344]) ).
cnf(t8,plain,
n5(X1,X2) = true,
inference(hyper_resolution,[status(thm)],[hi337,h401,h398,h258,h333]) ).
cnf(t141,plain,
n5(X1,X2) = true,
inference(orient,[status(thm)],[t8]) ).
cnf(f368,negated_conjecture,
~ n5(a,e),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
fof(f368_nnf,plain,
~ n5(a,e),
inference(nnf_transformation,[status(thm)],[f368]) ).
fof(f368_sk,plain,
~ n5(a,e),
inference(skolemisation,[status(esa)],[f368_nnf]) ).
cnf(c368,plain,
~ n5(a,e),
inference(cnf_transformation,[status(esa)],[f368_sk]) ).
cnf(goal_0,negated_conjecture,
n5(a,e) != true,
inference(equality_encoding,[status(esa)],[c368]) ).
cnf(g0_0,plain,
true != true,
inference(rw,[status(thm)],[goal_0,t141]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN159-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.11/5.53 % Computer : n017.cluster.edu
% 0.11/5.53 % Model : x86_64 x86_64
% 0.11/5.53 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.53 % Memory : 8046.5625MB
% 0.11/5.53 % OS : Linux 6.8.0-71-generic
% 0.11/5.53 % CPULimit : 300
% 0.11/5.53 % WCLimit : 300
% 0.11/5.53 % DateTime : Fri Sep 25 00:16:37 UTC 2026
% 0.11/5.54 % CPUTime :
% 0.11/5.54 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 8.46/6.89 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 8.46/6.89 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------