%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : BOO013-2 : TPTP v9.3.1. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n003.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 12:59:36 PM UTC 2026
% Result : Unsatisfiable 5.62s 1.25s
% Output : CNFRefutation 5.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 10
% Syntax : Number of clauses : 39 ( 39 unt; 0 nHn; 23 RR)
% Number of literals : 39 ( 38 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 24 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(t16,axiom,
multiply(add(X1,X2),add(X1,X3)) = add(X1,multiply(X2,X3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t23,plain,
multiply(add(X1,X2),add(X1,X3)) = add(X1,multiply(X2,X3)),
inference(orient,[status(thm)],[t16]) ).
cnf(t2,axiom,
add(a,c) = multiplicative_identity,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t12,axiom,
add(X1,X2) = add(X2,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t22,plain,
add(X1,X2) = add(X2,X1),
inference(orient,[status(thm)],[t12]) ).
cnf(t193,plain,
add(c,a) = multiplicative_identity,
inference(step,[status(thm)],[t2,t22]) ).
cnf(t45,plain,
add(c,a) = multiplicative_identity,
inference(orient,[status(thm)],[t193]) ).
cnf(t47,plain,
add(c,multiply(X1,a)) = multiply(add(c,X1),multiplicative_identity),
inference(cp,[status(thm)],[t23,t45]) ).
cnf(t4,axiom,
multiply(X1,multiplicative_identity) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t20,plain,
multiply(X1,multiplicative_identity) = X1,
inference(orient,[status(thm)],[t4]) ).
cnf(t217,plain,
add(c,multiply(X1,a)) = add(c,X1),
inference(step,[status(thm)],[t47,t20]) ).
cnf(t178,plain,
add(c,multiply(X1,a)) = add(c,X1),
inference(orient,[status(thm)],[t217]) ).
cnf(t5,axiom,
multiply(a,b) = additive_identity,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t13,axiom,
multiply(X1,X2) = multiply(X2,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t50,plain,
multiply(X1,X2) = multiply(X2,X1),
inference(orient,[status(thm)],[t13]) ).
cnf(t194,plain,
multiply(b,a) = additive_identity,
inference(step,[status(thm)],[t5,t50]) ).
cnf(t88,plain,
multiply(b,a) = additive_identity,
inference(orient,[status(thm)],[t194]) ).
cnf(t180,plain,
add(c,b) = add(c,additive_identity),
inference(cp,[status(thm)],[t178,t88]) ).
cnf(t1,axiom,
add(a,b) = multiplicative_identity,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t192,plain,
add(b,a) = multiplicative_identity,
inference(step,[status(thm)],[t1,t22]) ).
cnf(t40,plain,
add(b,a) = multiplicative_identity,
inference(orient,[status(thm)],[t192]) ).
cnf(t42,plain,
add(b,multiply(X1,a)) = multiply(add(b,X1),multiplicative_identity),
inference(cp,[status(thm)],[t23,t40]) ).
cnf(t200,plain,
add(b,multiply(X1,a)) = add(b,X1),
inference(step,[status(thm)],[t42,t20]) ).
cnf(t116,plain,
add(b,multiply(X1,a)) = add(b,X1),
inference(orient,[status(thm)],[t200]) ).
cnf(t6,axiom,
multiply(a,c) = additive_identity,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t195,plain,
multiply(c,a) = additive_identity,
inference(step,[status(thm)],[t6,t50]) ).
cnf(t93,plain,
multiply(c,a) = additive_identity,
inference(orient,[status(thm)],[t195]) ).
cnf(t117,plain,
add(b,c) = add(b,additive_identity),
inference(cp,[status(thm)],[t116,t93]) ).
cnf(t201,plain,
add(c,b) = add(b,additive_identity),
inference(step,[status(thm)],[t117,t22]) ).
cnf(t0,axiom,
add(X1,additive_identity) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t18,plain,
add(X1,additive_identity) = X1,
inference(orient,[status(thm)],[t0]) ).
cnf(t202,plain,
add(c,b) = b,
inference(step,[status(thm)],[t201,t18]) ).
cnf(t124,plain,
add(c,b) = b,
inference(orient,[status(thm)],[t202]) ).
cnf(t218,plain,
b = add(c,additive_identity),
inference(step,[status(thm)],[t180,t124]) ).
cnf(t219,plain,
b = c,
inference(step,[status(thm)],[t218,t18]) ).
cnf(t186,plain,
b = c,
inference(orient,[status(thm)],[t219]) ).
cnf(goal_0,negated_conjecture,
c != b,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(g0_0,plain,
c != c,
inference(rw,[status(thm)],[goal_0,t186]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : BOO013-2 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.10/0.36 % Computer : n003.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Fri Sep 25 06:32:37 UTC 2026
% 0.13/0.36 % CPUTime :
% 0.13/0.36 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 5.62/1.25 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.62/1.25 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------