%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : RNG007-4 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n002.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 02:37:24 PM UTC 2026
% Result : Unsatisfiable 5.24s 6.11s
% Output : CNFRefutation 5.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 7
% Syntax : Number of clauses : 24 ( 24 unt; 0 nHn; 3 RR)
% Number of literals : 24 ( 23 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 28 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(t6,axiom,
add(additive_inverse(X1),X1) = additive_identity,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t7,axiom,
add(X1,X2) = add(X2,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t46,plain,
add(X1,X2) = add(X2,X1),
inference(orient,[status(thm)],[t7]) ).
cnf(t77,plain,
add(X1,additive_inverse(X1)) = additive_identity,
inference(step,[status(thm)],[t6,t46]) ).
cnf(t55,plain,
add(X1,additive_inverse(X1)) = additive_identity,
inference(orient,[status(thm)],[t77]) ).
cnf(t9,axiom,
multiply(additive_inverse(X1),X2) = additive_inverse(multiply(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t8,axiom,
multiply(X1,additive_inverse(X2)) = additive_inverse(multiply(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t24,plain,
additive_inverse(multiply(X1,X2)) = multiply(X1,additive_inverse(X2)),
inference(orient,[status(thm)],[t8]) ).
cnf(t76,plain,
multiply(additive_inverse(X1),X2) = multiply(X1,additive_inverse(X2)),
inference(step,[status(thm)],[t9,t24]) ).
cnf(t36,plain,
multiply(additive_inverse(X1),X2) = multiply(X1,additive_inverse(X2)),
inference(orient,[status(thm)],[t76]) ).
cnf(t3,axiom,
multiply(X1,X1) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t15,plain,
multiply(X1,X1) = X1,
inference(orient,[status(thm)],[t3]) ).
cnf(t37,plain,
multiply(X1,additive_inverse(additive_inverse(X1))) = additive_inverse(X1),
inference(cp,[status(thm)],[t36,t15]) ).
cnf(t2,axiom,
additive_inverse(additive_inverse(X1)) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t17,plain,
additive_inverse(additive_inverse(X1)) = X1,
inference(orient,[status(thm)],[t2]) ).
cnf(t78,plain,
multiply(X1,X1) = additive_inverse(X1),
inference(step,[status(thm)],[t37,t17]) ).
cnf(t79,plain,
X1 = additive_inverse(X1),
inference(step,[status(thm)],[t78,t15]) ).
cnf(t70,plain,
additive_inverse(X1) = X1,
inference(orient,[status(thm)],[t79]) ).
cnf(t80,plain,
add(X1,X1) = additive_identity,
inference(step,[status(thm)],[t55,t70]) ).
cnf(t71,plain,
add(X1,X1) = additive_identity,
inference(rw,[status(thm)],[t80]) ).
cnf(t73,plain,
add(X1,X1) = additive_identity,
inference(orient,[status(thm)],[t71]) ).
cnf(goal_0,negated_conjecture,
add(a,a) != additive_identity,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(g0_0,plain,
additive_identity != additive_identity,
inference(rw,[status(thm)],[goal_0,t73]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : RNG007-4 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.08/5.37 % Computer : n002.cluster.edu
% 0.08/5.37 % Model : x86_64 x86_64
% 0.08/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/5.37 % Memory : 8046.5625MB
% 0.08/5.37 % OS : Linux 6.8.0-71-generic
% 0.08/5.37 % CPULimit : 300
% 0.08/5.37 % WCLimit : 300
% 0.08/5.37 % DateTime : Thu Sep 24 07:45:11 UTC 2026
% 0.08/5.37 % CPUTime :
% 0.08/5.37 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 5.24/6.11 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.24/6.11 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------