%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : COL053-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n001.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 01:01:53 PM UTC 2026
% Result : Unsatisfiable 0.59s 0.80s
% Output : CNFRefutation 0.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 4
% Syntax : Number of clauses : 16 ( 16 unt; 0 nHn; 6 RR)
% Number of literals : 16 ( 15 equ; 3 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-2 aty)
% Number of variables : 21 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(eg0,negated_conjecture,
response(U,f(U)) != response(a,response(b,response(c,f(U)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t2,plain,
eq(response(X1,f(X1)),response(a,response(b,response(c,f(X1))))) = efalse,
inference(equality_encoding,[status(esa)],[eg0]) ).
cnf(t5,plain,
eq(response(X1,f(X1)),response(a,response(b,response(c,f(X1))))) = efalse,
inference(orient,[status(thm)],[t2]) ).
cnf(t1,axiom,
response(compose(X1,X2),X3) = response(X1,response(X2,X3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t3,plain,
response(compose(X1,X2),X3) = response(X1,response(X2,X3)),
inference(orient,[status(thm)],[t1]) ).
cnf(t6,plain,
efalse = eq(response(X1,response(X2,f(compose(X1,X2)))),response(a,response(b,response(c,f(compose(X1,X2)))))),
inference(cp,[status(thm)],[t5,t3]) ).
cnf(t7,plain,
eq(response(X1,response(X2,f(compose(X1,X2)))),response(a,response(b,response(c,f(compose(X1,X2)))))) = efalse,
inference(orient,[status(thm)],[t6]) ).
cnf(t8,plain,
efalse = eq(response(X1,response(X2,response(X3,f(compose(compose(X1,X2),X3))))),response(a,response(b,response(c,f(compose(compose(X1,X2),X3)))))),
inference(cp,[status(thm)],[t7,t3]) ).
cnf(t10,plain,
eq(response(X1,response(X2,response(X3,f(compose(compose(X1,X2),X3))))),response(a,response(b,response(c,f(compose(compose(X1,X2),X3)))))) = efalse,
inference(orient,[status(thm)],[t8]) ).
cnf(t0,plain,
eq(X1,X1) = etrue,
introduced(definition) ).
cnf(t4,plain,
eq(X1,X1) = etrue,
inference(orient,[status(thm)],[t0]) ).
cnf(t11,plain,
efalse = etrue,
inference(cp,[status(thm)],[t10,t4]) ).
cnf(t15,plain,
efalse = etrue,
inference(orient,[status(thm)],[t11]) ).
cnf(goal_0,negated_conjecture,
etrue != efalse,
introduced(definition) ).
cnf(g0_0,plain,
etrue != etrue,
inference(rw,[status(thm)],[goal_0,t15]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COL053-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.08/0.37 % Computer : n001.cluster.edu
% 0.08/0.37 % Model : x86_64 x86_64
% 0.08/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.37 % Memory : 8046.5625MB
% 0.08/0.37 % OS : Linux 6.8.0-71-generic
% 0.08/0.37 % CPULimit : 300
% 0.08/0.37 % WCLimit : 300
% 0.08/0.37 % DateTime : Fri Sep 25 07:27:10 UTC 2026
% 0.08/0.37 % CPUTime :
% 0.08/0.37 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.59/0.80 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.59/0.80 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------