%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : COL063-3 : TPTP v9.3.1. Bugfixed v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n026.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 01:01:56 PM UTC 2026
% Result : Unsatisfiable 3.19s 0.83s
% Output : CNFRefutation 3.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 3
% Syntax : Number of clauses : 14 ( 14 unt; 0 nHn; 10 RR)
% Number of literals : 14 ( 13 equ; 9 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 10 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(t1,axiom,
apply(apply(apply(b,X1),X2),X3) = apply(X1,apply(X2,X3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t15,plain,
apply(apply(apply(b,X1),X2),X3) = apply(X1,apply(X2,X3)),
inference(orient,[status(thm)],[t1]) ).
cnf(t0,axiom,
apply(apply(t,X1),X2) = apply(X2,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t14,plain,
apply(apply(t,X1),X2) = apply(X2,X1),
inference(orient,[status(thm)],[t0]) ).
cnf(goal_0,negated_conjecture,
apply(apply(apply(apply(apply(b,apply(apply(b,apply(t,t)),b)),apply(apply(b,b),t)),x),y),z) != apply(apply(z,y),x),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(g0_0,plain,
apply(apply(apply(apply(apply(b,apply(t,t)),b),apply(apply(apply(b,b),t),x)),y),z) != apply(apply(z,y),x),
inference(rw,[status(thm)],[goal_0,t15]) ).
cnf(g0_1,plain,
apply(apply(apply(apply(t,t),apply(b,apply(apply(apply(b,b),t),x))),y),z) != apply(apply(z,y),x),
inference(rw,[status(thm)],[g0_0,t15]) ).
cnf(g0_2,plain,
apply(apply(apply(apply(b,apply(apply(apply(b,b),t),x)),t),y),z) != apply(apply(z,y),x),
inference(rw,[status(thm)],[g0_1,t14]) ).
cnf(g0_3,plain,
apply(apply(apply(apply(apply(b,b),t),x),apply(t,y)),z) != apply(apply(z,y),x),
inference(rw,[status(thm)],[g0_2,t15]) ).
cnf(g0_4,plain,
apply(apply(apply(b,apply(t,x)),apply(t,y)),z) != apply(apply(z,y),x),
inference(rw,[status(thm)],[g0_3,t15]) ).
cnf(g0_5,plain,
apply(apply(t,x),apply(apply(t,y),z)) != apply(apply(z,y),x),
inference(rw,[status(thm)],[g0_4,t15]) ).
cnf(g0_6,plain,
apply(apply(apply(t,y),z),x) != apply(apply(z,y),x),
inference(rw,[status(thm)],[g0_5,t14]) ).
cnf(g0_7,plain,
apply(apply(z,y),x) != apply(apply(z,y),x),
inference(rw,[status(thm)],[g0_6,t14]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : COL063-3 : TPTP v9.3.1. Bugfixed v1.2.0.
% 0.00/0.03 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.08/0.35 % Computer : n026.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Fri Sep 25 07:27:10 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 3.19/0.83 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.19/0.83 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------