%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SYN143-10 : TPTP v9.3.1. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n004.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 03:33:55 PM UTC 2026
% Result : Unsatisfiable 7.79s 1.56s
% Output : CNFRefutation 7.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 33
% Syntax : Number of clauses : 58 ( 58 unt; 0 nHn; 31 RR)
% Number of literals : 58 ( 57 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 28 ( 28 usr; 6 con; 0-4 aty)
% Number of variables : 56 ( 19 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(hi160,axiom,
ifeq(p0(I,I),true,s1(I),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(hi13,axiom,
p0(b,X) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(h26,plain,
s1(b) = true,
inference(hyper_resolution,[status(thm)],[hi160,hi13]) ).
cnf(hi167,axiom,
ifeq(s1(B),true,ifeq(p0(A,A),true,ifeq(m0(C,B,J),true,l2(J,J),true),true),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(hi30,axiom,
m0(b,b,e) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(h112,plain,
l2(e,e) = true,
inference(hyper_resolution,[status(thm)],[hi167,h26,hi13,hi30]) ).
cnf(hi166,axiom,
ifeq(l2(E,E),true,ifeq(s1(D),true,ifeq(n0(e,E),true,l2(D,E),true),true),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(hi29,axiom,
n0(e,e) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(h258,plain,
l2(b,e) = true,
inference(hyper_resolution,[status(thm)],[hi166,h112,h26,hi29]) ).
cnf(hi39,axiom,
ifeq(n0(H,G),true,l1(G,G),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(hi36,axiom,
n0(b,a) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(h109,plain,
l1(a,a) = true,
inference(hyper_resolution,[status(thm)],[hi39,hi36]) ).
cnf(hi86,axiom,
ifeq(l0(D),true,ifeq(p0(b,E),true,ifeq(s0(b),true,n1(D,E,D),true),true),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(hi19,axiom,
l0(a) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(hi4,axiom,
s0(b) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(h37,plain,
n1(a,V0,a) = true,
inference(hyper_resolution,[status(thm)],[hi86,hi19,hi13,hi4]) ).
cnf(hi90,axiom,
ifeq(n1(E,F,E),true,ifeq(l0(G),true,ifeq(l1(G,E),true,n1(E,F,F),true),true),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(h248,plain,
n1(a,V0,V0) = true,
inference(hyper_resolution,[status(thm)],[hi90,h37,hi19,h109]) ).
cnf(hi105,axiom,
ifeq(p0(C,B),true,p1(B,B,C),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(h33,plain,
p1(V0,V0,b) = true,
inference(hyper_resolution,[status(thm)],[hi105,hi13]) ).
cnf(hi107,axiom,
ifeq(p1(I,A,H),true,ifeq(l0(J),true,ifeq(s0(b),true,p1(H,I,H),true),true),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(hi23,axiom,
l0(c) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(h183,plain,
p1(b,V0,b) = true,
inference(hyper_resolution,[status(thm)],[hi107,h33,hi23,hi4]) ).
cnf(hi111,axiom,
ifeq(p0(b,a),true,p1(a,a,a),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(h31,plain,
p1(a,a,a) = true,
inference(hyper_resolution,[status(thm)],[hi111,hi13]) ).
cnf(hi211,axiom,
ifeq(p1(E,E,E),true,ifeq(k0(F),true,q2(E,F,F),true),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(hi31,axiom,
k0(b) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(h177,plain,
q2(a,b,b) = true,
inference(hyper_resolution,[status(thm)],[hi211,h31,hi31]) ).
cnf(hi216,axiom,
ifeq(q2(G,H,F),true,ifeq(p1(F,F,H),true,ifeq(n1(G,F,H),true,q2(F,G,F),true),true),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(h510,plain,
q2(b,a,b) = true,
inference(hyper_resolution,[status(thm)],[hi216,h177,h183,h248]) ).
cnf(hi161,axiom,
ifeq(s1(H),true,ifeq(q0(F,G),true,s1(F),true),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(hi16,axiom,
q0(X,d) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(h117,plain,
s1(V0) = true,
inference(hyper_resolution,[status(thm)],[hi161,h26,hi16]) ).
cnf(hi223,axiom,
ifeq(q2(b,H,b),true,ifeq(s1(b),true,s2(H),true),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(h736,plain,
s2(a) = true,
inference(hyper_resolution,[status(thm)],[hi223,h510,h117]) ).
cnf(hi305,axiom,
ifeq(s2(I),true,ifeq(q2(A,I,A),true,ifeq(m0(A,B,J),true,s3(I,J),true),true),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(h741,plain,
s3(a,e) = true,
inference(hyper_resolution,[status(thm)],[hi305,h736,h510,hi30]) ).
cnf(hi310,axiom,
ifeq(s3(a,E),true,ifeq(l2(G,F),true,m4(E,F),true),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(h866,plain,
m4(e,e) = true,
inference(hyper_resolution,[status(thm)],[hi310,h741,h258]) ).
cnf(hi33,axiom,
n0(c,d) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(h97,plain,
l1(d,d) = true,
inference(hyper_resolution,[status(thm)],[hi39,hi33]) ).
cnf(hi38,axiom,
ifeq(n0(J,I),true,k1(I),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(h98,plain,
k1(d) = true,
inference(hyper_resolution,[status(thm)],[hi38,hi33]) ).
cnf(hi108,axiom,
ifeq(s0(G),true,ifeq(s0(F),true,p1(F,F,F),true),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(hi0,axiom,
s0(d) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(h1,plain,
p1(d,d,d) = true,
inference(hyper_resolution,[status(thm)],[hi108,hi0,hi0]) ).
cnf(hi171,axiom,
ifeq(p1(B,C,A),true,n2(A),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(h127,plain,
n2(d) = true,
inference(hyper_resolution,[status(thm)],[hi171,h1]) ).
cnf(hi281,axiom,
ifeq(n2(H),true,ifeq(k1(H),true,p3(H,H,H),true),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(h190,plain,
p3(d,d,d) = true,
inference(hyper_resolution,[status(thm)],[hi281,h127,h98]) ).
cnf(hi329,axiom,
ifeq(p3(B,C,D),true,ifeq(l1(A,C),true,s4(A),true),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(h366,plain,
s4(d) = true,
inference(hyper_resolution,[status(thm)],[hi329,h190,h97]) ).
cnf(hi335,axiom,
ifeq(s4(B),true,ifeq(m4(e,e),true,m5(B,B),true),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t57,plain,
m5(d,d) = true,
inference(hyper_resolution,[status(thm)],[hi335,h366,h866]) ).
cnf(t127,plain,
m5(d,d) = true,
inference(orient,[status(thm)],[t57]) ).
cnf(goal_0,negated_conjecture,
m5(d,d) != true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(g0_0,plain,
true != true,
inference(rw,[status(thm)],[goal_0,t127]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN143-10 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.10/0.37 % Computer : n004.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Fri Sep 25 00:18:05 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 7.79/1.56 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 7.79/1.56 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------