%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : BOO017-2 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : 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 12:59:38 PM UTC 2026
% Result : Unsatisfiable 7.07s 1.49s
% Output : CNFRefutation 7.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 12
% Syntax : Number of clauses : 51 ( 51 unt; 0 nHn; 11 RR)
% Number of literals : 51 ( 50 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 : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 61 ( 6 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(t10,axiom,
multiply(X1,X2) = multiply(X2,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t67,plain,
multiply(X1,X2) = multiply(X2,X1),
inference(orient,[status(thm)],[t10]) ).
cnf(t14,axiom,
multiply(add(X1,X2),add(X3,X2)) = add(multiply(X1,X3),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t29,plain,
multiply(add(X1,X2),add(X3,X2)) = add(multiply(X1,X3),X2),
inference(orient,[status(thm)],[t14]) ).
cnf(t2,axiom,
add(x,y) = z,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t9,axiom,
add(X1,X2) = add(X2,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t19,plain,
add(X1,X2) = add(X2,X1),
inference(orient,[status(thm)],[t9]) ).
cnf(t278,plain,
add(y,x) = z,
inference(step,[status(thm)],[t2,t19]) ).
cnf(t62,plain,
add(y,x) = z,
inference(orient,[status(thm)],[t278]) ).
cnf(t65,plain,
add(multiply(y,X1),x) = multiply(z,add(X1,x)),
inference(cp,[status(thm)],[t29,t62]) ).
cnf(t292,plain,
add(x,multiply(y,X1)) = multiply(z,add(X1,x)),
inference(step,[status(thm)],[t65,t19]) ).
cnf(t188,plain,
add(x,multiply(y,X1)) = multiply(z,add(X1,x)),
inference(orient,[status(thm)],[t292]) ).
cnf(t12,axiom,
add(multiply(X1,X2),multiply(X3,X2)) = multiply(add(X1,X3),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t37,plain,
add(multiply(X1,X2),multiply(X3,X2)) = multiply(add(X1,X3),X2),
inference(orient,[status(thm)],[t12]) ).
cnf(t4,axiom,
multiply(multiplicative_identity,X1) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t18,plain,
multiply(multiplicative_identity,X1) = X1,
inference(orient,[status(thm)],[t4]) ).
cnf(t41,plain,
multiply(add(multiplicative_identity,X1),X2) = add(X2,multiply(X1,X2)),
inference(cp,[status(thm)],[t37,t18]) ).
cnf(t82,plain,
add(X1,multiply(X2,X1)) = multiply(add(multiplicative_identity,X2),X1),
inference(orient,[status(thm)],[t41]) ).
cnf(t1,axiom,
add(additive_identity,X1) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t16,plain,
add(additive_identity,X1) = X1,
inference(orient,[status(thm)],[t1]) ).
cnf(t84,plain,
multiply(add(multiplicative_identity,X1),additive_identity) = multiply(X1,additive_identity),
inference(cp,[status(thm)],[t82,t16]) ).
cnf(t279,plain,
multiply(additive_identity,add(multiplicative_identity,X1)) = multiply(X1,additive_identity),
inference(step,[status(thm)],[t84,t67]) ).
cnf(t94,plain,
multiply(additive_identity,add(multiplicative_identity,X1)) = multiply(X1,additive_identity),
inference(orient,[status(thm)],[t279]) ).
cnf(t97,plain,
multiply(X1,additive_identity) = multiply(additive_identity,add(X1,multiplicative_identity)),
inference(cp,[status(thm)],[t94,t19]) ).
cnf(t104,plain,
multiply(additive_identity,add(X1,multiplicative_identity)) = multiply(X1,additive_identity),
inference(orient,[status(thm)],[t97]) ).
cnf(t13,axiom,
multiply(add(X1,X2),add(X1,X3)) = add(X1,multiply(X2,X3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t20,plain,
multiply(add(X1,X2),add(X1,X3)) = add(X1,multiply(X2,X3)),
inference(orient,[status(thm)],[t13]) ).
cnf(t5,axiom,
add(X1,inverse(X1)) = multiplicative_identity,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t25,plain,
add(X1,inverse(X1)) = multiplicative_identity,
inference(orient,[status(thm)],[t5]) ).
cnf(t27,plain,
add(X1,multiply(inverse(X1),X2)) = multiply(multiplicative_identity,add(X1,X2)),
inference(cp,[status(thm)],[t20,t25]) ).
cnf(t304,plain,
add(X1,multiply(inverse(X1),X2)) = add(X1,X2),
inference(step,[status(thm)],[t27,t18]) ).
cnf(t235,plain,
add(X1,multiply(inverse(X1),X2)) = add(X1,X2),
inference(orient,[status(thm)],[t304]) ).
cnf(t3,axiom,
multiply(X1,multiplicative_identity) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t17,plain,
multiply(X1,multiplicative_identity) = X1,
inference(orient,[status(thm)],[t3]) ).
cnf(t242,plain,
add(X1,multiplicative_identity) = add(X1,inverse(X1)),
inference(cp,[status(thm)],[t235,t17]) ).
cnf(t305,plain,
add(X1,multiplicative_identity) = multiplicative_identity,
inference(step,[status(thm)],[t242,t25]) ).
cnf(t252,plain,
add(X1,multiplicative_identity) = multiplicative_identity,
inference(orient,[status(thm)],[t305]) ).
cnf(t310,plain,
multiply(additive_identity,multiplicative_identity) = multiply(X1,additive_identity),
inference(step,[status(thm)],[t104,t252]) ).
cnf(t311,plain,
additive_identity = multiply(X1,additive_identity),
inference(step,[status(thm)],[t310,t17]) ).
cnf(t256,plain,
additive_identity = multiply(X1,additive_identity),
inference(rw,[status(thm)],[t311]) ).
cnf(t263,plain,
multiply(X1,additive_identity) = additive_identity,
inference(orient,[status(thm)],[t256]) ).
cnf(t265,plain,
multiply(z,add(additive_identity,x)) = add(x,additive_identity),
inference(cp,[status(thm)],[t188,t263]) ).
cnf(t322,plain,
multiply(z,x) = add(x,additive_identity),
inference(step,[status(thm)],[t265,t16]) ).
cnf(t0,axiom,
add(X1,additive_identity) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t15,plain,
add(X1,additive_identity) = X1,
inference(orient,[status(thm)],[t0]) ).
cnf(t323,plain,
multiply(z,x) = x,
inference(step,[status(thm)],[t322,t15]) ).
cnf(t270,plain,
multiply(z,x) = x,
inference(orient,[status(thm)],[t323]) ).
cnf(goal_0,negated_conjecture,
multiply(x,z) != x,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(g0_0,plain,
multiply(z,x) != x,
inference(rw,[status(thm)],[goal_0,t67]) ).
cnf(g0_1,plain,
x != x,
inference(rw,[status(thm)],[g0_0,t270]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : BOO017-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.07/0.34 % Computer : n015.cluster.edu
% 0.07/0.34 % Model : x86_64 x86_64
% 0.07/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.34 % Memory : 8046.5625MB
% 0.07/0.34 % OS : Linux 6.8.0-71-generic
% 0.07/0.34 % CPULimit : 300
% 0.07/0.34 % WCLimit : 300
% 0.07/0.34 % DateTime : Fri Sep 25 06:36:56 UTC 2026
% 0.07/0.34 % CPUTime :
% 0.07/0.34 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 7.07/1.49 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 7.07/1.49 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------