%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : BOO006-4 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n004.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 12:59:33 PM UTC 2026
% Result : Unsatisfiable 3.94s 1.01s
% Output : CNFRefutation 3.94s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 8
% Syntax : Number of clauses : 38 ( 38 unt; 0 nHn; 4 RR)
% Number of literals : 38 ( 37 equ; 3 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 : 51 ( 6 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(t5,axiom,
multiply(X1,X2) = multiply(X2,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t28,plain,
multiply(X1,X2) = multiply(X2,X1),
inference(orient,[status(thm)],[t5]) ).
cnf(t6,axiom,
add(multiply(X1,X2),multiply(X1,X3)) = multiply(X1,add(X2,X3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t20,plain,
add(multiply(X1,X2),multiply(X1,X3)) = multiply(X1,add(X2,X3)),
inference(orient,[status(thm)],[t6]) ).
cnf(t1,axiom,
multiply(X1,multiplicative_identity) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t9,plain,
multiply(X1,multiplicative_identity) = X1,
inference(orient,[status(thm)],[t1]) ).
cnf(t22,plain,
multiply(X1,add(multiplicative_identity,X2)) = add(X1,multiply(X1,X2)),
inference(cp,[status(thm)],[t20,t9]) ).
cnf(t42,plain,
add(X1,multiply(X1,X2)) = multiply(X1,add(multiplicative_identity,X2)),
inference(orient,[status(thm)],[t22]) ).
cnf(t4,axiom,
add(X1,X2) = add(X2,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t10,plain,
add(X1,X2) = add(X2,X1),
inference(orient,[status(thm)],[t4]) ).
cnf(t0,axiom,
add(X1,additive_identity) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t8,plain,
add(X1,additive_identity) = X1,
inference(orient,[status(thm)],[t0]) ).
cnf(t11,plain,
add(additive_identity,X1) = X1,
inference(cp,[status(thm)],[t10,t8]) ).
cnf(t36,plain,
add(additive_identity,X1) = X1,
inference(orient,[status(thm)],[t11]) ).
cnf(t43,plain,
multiply(additive_identity,add(multiplicative_identity,X1)) = multiply(additive_identity,X1),
inference(cp,[status(thm)],[t42,t36]) ).
cnf(t50,plain,
multiply(additive_identity,add(multiplicative_identity,X1)) = multiply(additive_identity,X1),
inference(orient,[status(thm)],[t43]) ).
cnf(t53,plain,
multiply(additive_identity,X1) = multiply(additive_identity,add(X1,multiplicative_identity)),
inference(cp,[status(thm)],[t50,t10]) ).
cnf(t57,plain,
multiply(additive_identity,add(X1,multiplicative_identity)) = multiply(additive_identity,X1),
inference(orient,[status(thm)],[t53]) ).
cnf(t7,axiom,
multiply(add(X1,X2),add(X1,X3)) = add(X1,multiply(X2,X3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t12,plain,
multiply(add(X1,X2),add(X1,X3)) = add(X1,multiply(X2,X3)),
inference(orient,[status(thm)],[t7]) ).
cnf(t2,axiom,
add(X1,inverse(X1)) = multiplicative_identity,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t17,plain,
add(X1,inverse(X1)) = multiplicative_identity,
inference(orient,[status(thm)],[t2]) ).
cnf(t19,plain,
add(X1,multiply(X2,inverse(X1))) = multiply(add(X1,X2),multiplicative_identity),
inference(cp,[status(thm)],[t12,t17]) ).
cnf(t133,plain,
add(X1,multiply(X2,inverse(X1))) = add(X1,X2),
inference(step,[status(thm)],[t19,t9]) ).
cnf(t99,plain,
add(X1,multiply(X2,inverse(X1))) = add(X1,X2),
inference(orient,[status(thm)],[t133]) ).
cnf(t29,plain,
multiply(multiplicative_identity,X1) = X1,
inference(cp,[status(thm)],[t28,t9]) ).
cnf(t39,plain,
multiply(multiplicative_identity,X1) = X1,
inference(orient,[status(thm)],[t29]) ).
cnf(t103,plain,
add(X1,multiplicative_identity) = add(X1,inverse(X1)),
inference(cp,[status(thm)],[t99,t39]) ).
cnf(t135,plain,
add(X1,multiplicative_identity) = multiplicative_identity,
inference(step,[status(thm)],[t103,t17]) ).
cnf(t114,plain,
add(X1,multiplicative_identity) = multiplicative_identity,
inference(orient,[status(thm)],[t135]) ).
cnf(t136,plain,
multiply(additive_identity,multiplicative_identity) = multiply(additive_identity,X1),
inference(step,[status(thm)],[t57,t114]) ).
cnf(t137,plain,
additive_identity = multiply(additive_identity,X1),
inference(step,[status(thm)],[t136,t9]) ).
cnf(t116,plain,
additive_identity = multiply(additive_identity,X1),
inference(rw,[status(thm)],[t137]) ).
cnf(t123,plain,
multiply(additive_identity,X1) = additive_identity,
inference(orient,[status(thm)],[t116]) ).
cnf(goal_0,negated_conjecture,
multiply(a,additive_identity) != additive_identity,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(g0_0,plain,
multiply(additive_identity,a) != additive_identity,
inference(rw,[status(thm)],[goal_0,t28]) ).
cnf(g0_1,plain,
additive_identity != additive_identity,
inference(rw,[status(thm)],[g0_0,t123]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : BOO006-4 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.12/0.37 % Computer : n004.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Fri Sep 25 06:25:50 UTC 2026
% 0.12/0.37 % CPUTime :
% 0.12/0.37 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 3.94/1.01 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.94/1.01 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------