%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SYN116-10 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n010.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 03:33:51 PM UTC 2026
% Result : Unsatisfiable 8.57s 1.55s
% Output : CNFRefutation 8.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 15
% Syntax : Number of clauses : 27 ( 27 unt; 0 nHn; 15 RR)
% Number of literals : 27 ( 26 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 : 19 ( 19 usr; 5 con; 0-4 aty)
% Number of variables : 23 ( 11 sgn)
% Comments :
%------------------------------------------------------------------------------
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/sandbox/benchmark/theBenchmark.p') ).
cnf(hi19,axiom,
l0(a) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(hi13,axiom,
p0(b,X) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(hi4,axiom,
s0(b) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(h37,plain,
n1(a,V0,a) = true,
inference(hyper_resolution,[status(thm)],[hi86,hi19,hi13,hi4]) ).
cnf(hi98,axiom,
ifeq(n1(E,D,E),true,ifeq(m0(E,E,F),true,n1(D,D,D),true),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(hi11,axiom,
m0(a,X,a) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(h189,plain,
n1(V0,V0,V0) = true,
inference(hyper_resolution,[status(thm)],[hi98,h37,hi11]) ).
cnf(hi39,axiom,
ifeq(n0(H,G),true,l1(G,G),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(hi2,axiom,
n0(d,e) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(h5,plain,
l1(e,e) = true,
inference(hyper_resolution,[status(thm)],[hi39,hi2]) ).
cnf(hi38,axiom,
ifeq(n0(J,I),true,k1(I),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(h6,plain,
k1(e) = true,
inference(hyper_resolution,[status(thm)],[hi38,hi2]) ).
cnf(hi102,axiom,
ifeq(n0(H,G),true,p1(G,G,G),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(h4,plain,
p1(e,e,e) = true,
inference(hyper_resolution,[status(thm)],[hi102,hi2]) ).
cnf(hi171,axiom,
ifeq(p1(B,C,A),true,n2(A),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(h137,plain,
n2(e) = true,
inference(hyper_resolution,[status(thm)],[hi171,h4]) ).
cnf(hi281,axiom,
ifeq(n2(H),true,ifeq(k1(H),true,p3(H,H,H),true),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(h195,plain,
p3(e,e,e) = true,
inference(hyper_resolution,[status(thm)],[hi281,h137,h6]) ).
cnf(hi329,axiom,
ifeq(p3(B,C,D),true,ifeq(l1(A,C),true,s4(A),true),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(h373,plain,
s4(e) = true,
inference(hyper_resolution,[status(thm)],[hi329,h195,h5]) ).
cnf(hi331,axiom,
ifeq(s4(e),true,ifeq(n1(b,b,b),true,k5(b),true),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t0,plain,
k5(b) = true,
inference(hyper_resolution,[status(thm)],[hi331,h373,h189]) ).
cnf(t184,plain,
k5(b) = true,
inference(orient,[status(thm)],[t0]) ).
cnf(goal_0,negated_conjecture,
k5(b) != true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(g0_0,plain,
true != true,
inference(rw,[status(thm)],[goal_0,t184]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN116-10 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.08/0.36 % Computer : n010.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Fri Sep 25 00:13:43 UTC 2026
% 0.13/0.36 % CPUTime :
% 0.13/0.36 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 8.57/1.55 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 8.57/1.55 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------