%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : BOO001-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n015.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 12:59:30 PM UTC 2026
% Result : Unsatisfiable 2.63s 0.78s
% Output : CNFRefutation 2.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 6
% Syntax : Number of clauses : 22 ( 22 unt; 0 nHn; 3 RR)
% Number of literals : 22 ( 21 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-3 aty)
% Number of variables : 48 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(t4,axiom,
multiply(multiply(X1,X2,X3),X4,multiply(X1,X2,X5)) = multiply(X1,X2,multiply(X3,X4,X5)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t9,plain,
multiply(multiply(X1,X2,X3),X4,multiply(X1,X2,X5)) = multiply(X1,X2,multiply(X3,X4,X5)),
inference(orient,[status(thm)],[t4]) ).
cnf(t1,axiom,
multiply(X1,X2,X2) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t5,plain,
multiply(X1,X2,X2) = X2,
inference(orient,[status(thm)],[t1]) ).
cnf(t15,plain,
multiply(X1,X2,multiply(X3,X4,X2)) = multiply(multiply(X1,X2,X3),X4,X2),
inference(cp,[status(thm)],[t9,t5]) ).
cnf(t23,plain,
multiply(multiply(X1,X2,X3),X4,X2) = multiply(X1,X2,multiply(X3,X4,X2)),
inference(orient,[status(thm)],[t15]) ).
cnf(t2,axiom,
multiply(X1,X2,inverse(X2)) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t6,plain,
multiply(X1,X2,inverse(X2)) = X1,
inference(orient,[status(thm)],[t2]) ).
cnf(t26,plain,
multiply(X1,X2,multiply(inverse(X2),X3,X2)) = multiply(X1,X3,X2),
inference(cp,[status(thm)],[t23,t6]) ).
cnf(t36,plain,
multiply(X1,X2,multiply(inverse(X2),X3,X2)) = multiply(X1,X3,X2),
inference(orient,[status(thm)],[t26]) ).
cnf(t0,axiom,
multiply(X1,X1,X2) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t7,plain,
multiply(X1,X1,X2) = X1,
inference(orient,[status(thm)],[t0]) ).
cnf(t40,plain,
multiply(X1,inverse(X2),X2) = multiply(X1,X2,inverse(X2)),
inference(cp,[status(thm)],[t36,t7]) ).
cnf(t57,plain,
multiply(X1,inverse(X2),X2) = X1,
inference(step,[status(thm)],[t40,t6]) ).
cnf(t46,plain,
multiply(X1,inverse(X2),X2) = X1,
inference(orient,[status(thm)],[t57]) ).
cnf(t3,axiom,
multiply(inverse(X1),X1,X2) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t8,plain,
multiply(inverse(X1),X1,X2) = X2,
inference(orient,[status(thm)],[t3]) ).
cnf(t48,plain,
inverse(inverse(X1)) = X1,
inference(cp,[status(thm)],[t46,t8]) ).
cnf(t52,plain,
inverse(inverse(X1)) = X1,
inference(orient,[status(thm)],[t48]) ).
cnf(goal_0,negated_conjecture,
inverse(inverse(a)) != a,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(g0_0,plain,
a != a,
inference(rw,[status(thm)],[goal_0,t52]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : BOO001-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.09/0.35 % Computer : n015.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Fri Sep 25 06:28:56 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.35 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 2.63/0.78 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.63/0.78 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------