%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : BOO006-2 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/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 12:59:32 PM UTC 2026
% Result : Unsatisfiable 4.98s 1.11s
% Output : CNFRefutation 4.98s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 9
% Syntax : Number of clauses : 36 ( 36 unt; 0 nHn; 3 RR)
% Number of literals : 36 ( 35 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 : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 50 ( 6 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(t11,axiom,
add(multiply(X1,X2),multiply(X3,X2)) = multiply(add(X1,X3),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t36,plain,
add(multiply(X1,X2),multiply(X3,X2)) = multiply(add(X1,X3),X2),
inference(orient,[status(thm)],[t11]) ).
cnf(t3,axiom,
multiply(multiplicative_identity,X1) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t17,plain,
multiply(multiplicative_identity,X1) = X1,
inference(orient,[status(thm)],[t3]) ).
cnf(t40,plain,
multiply(add(multiplicative_identity,X1),X2) = add(X2,multiply(X1,X2)),
inference(cp,[status(thm)],[t36,t17]) ).
cnf(t76,plain,
add(X1,multiply(X2,X1)) = multiply(add(multiplicative_identity,X2),X1),
inference(orient,[status(thm)],[t40]) ).
cnf(t1,axiom,
add(additive_identity,X1) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t15,plain,
add(additive_identity,X1) = X1,
inference(orient,[status(thm)],[t1]) ).
cnf(t78,plain,
multiply(add(multiplicative_identity,X1),additive_identity) = multiply(X1,additive_identity),
inference(cp,[status(thm)],[t76,t15]) ).
cnf(t9,axiom,
multiply(X1,X2) = multiply(X2,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t61,plain,
multiply(X1,X2) = multiply(X2,X1),
inference(orient,[status(thm)],[t9]) ).
cnf(t179,plain,
multiply(additive_identity,add(multiplicative_identity,X1)) = multiply(X1,additive_identity),
inference(step,[status(thm)],[t78,t61]) ).
cnf(t88,plain,
multiply(additive_identity,add(multiplicative_identity,X1)) = multiply(X1,additive_identity),
inference(orient,[status(thm)],[t179]) ).
cnf(t8,axiom,
add(X1,X2) = add(X2,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t18,plain,
add(X1,X2) = add(X2,X1),
inference(orient,[status(thm)],[t8]) ).
cnf(t91,plain,
multiply(X1,additive_identity) = multiply(additive_identity,add(X1,multiplicative_identity)),
inference(cp,[status(thm)],[t88,t18]) ).
cnf(t98,plain,
multiply(additive_identity,add(X1,multiplicative_identity)) = multiply(X1,additive_identity),
inference(orient,[status(thm)],[t91]) ).
cnf(t12,axiom,
multiply(add(X1,X2),add(X1,X3)) = add(X1,multiply(X2,X3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t19,plain,
multiply(add(X1,X2),add(X1,X3)) = add(X1,multiply(X2,X3)),
inference(orient,[status(thm)],[t12]) ).
cnf(t4,axiom,
add(X1,inverse(X1)) = multiplicative_identity,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t24,plain,
add(X1,inverse(X1)) = multiplicative_identity,
inference(orient,[status(thm)],[t4]) ).
cnf(t26,plain,
add(X1,multiply(inverse(X1),X2)) = multiply(multiplicative_identity,add(X1,X2)),
inference(cp,[status(thm)],[t19,t24]) ).
cnf(t189,plain,
add(X1,multiply(inverse(X1),X2)) = add(X1,X2),
inference(step,[status(thm)],[t26,t17]) ).
cnf(t152,plain,
add(X1,multiply(inverse(X1),X2)) = add(X1,X2),
inference(orient,[status(thm)],[t189]) ).
cnf(t2,axiom,
multiply(X1,multiplicative_identity) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t16,plain,
multiply(X1,multiplicative_identity) = X1,
inference(orient,[status(thm)],[t2]) ).
cnf(t158,plain,
add(X1,multiplicative_identity) = add(X1,inverse(X1)),
inference(cp,[status(thm)],[t152,t16]) ).
cnf(t190,plain,
add(X1,multiplicative_identity) = multiplicative_identity,
inference(step,[status(thm)],[t158,t24]) ).
cnf(t168,plain,
add(X1,multiplicative_identity) = multiplicative_identity,
inference(orient,[status(thm)],[t190]) ).
cnf(t191,plain,
multiply(additive_identity,multiplicative_identity) = multiply(X1,additive_identity),
inference(step,[status(thm)],[t98,t168]) ).
cnf(t192,plain,
additive_identity = multiply(X1,additive_identity),
inference(step,[status(thm)],[t191,t16]) ).
cnf(t170,plain,
additive_identity = multiply(X1,additive_identity),
inference(rw,[status(thm)],[t192]) ).
cnf(t177,plain,
multiply(X1,additive_identity) = additive_identity,
inference(orient,[status(thm)],[t170]) ).
cnf(goal_0,negated_conjecture,
multiply(a,additive_identity) != additive_identity,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(g0_0,plain,
additive_identity != additive_identity,
inference(rw,[status(thm)],[goal_0,t177]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : BOO006-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.09/0.36 % Computer : n026.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Fri Sep 25 06:28:54 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 4.98/1.11 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.98/1.11 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------