%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : RNG008-4 : 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 02:37:25 PM UTC 2026
% Result : Unsatisfiable 8.18s 1.65s
% Output : CNFRefutation 8.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 12
% Syntax : Number of clauses : 61 ( 61 unt; 0 nHn; 21 RR)
% Number of literals : 61 ( 60 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 : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 68 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(t14,axiom,
add(multiply(X1,X2),multiply(X1,X3)) = multiply(X1,add(X2,X3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t22,plain,
add(multiply(X1,X2),multiply(X1,X3)) = multiply(X1,add(X2,X3)),
inference(orient,[status(thm)],[t14]) ).
cnf(t3,axiom,
multiply(X1,X1) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t16,plain,
multiply(X1,X1) = X1,
inference(orient,[status(thm)],[t3]) ).
cnf(t23,plain,
multiply(X1,add(X1,X2)) = add(X1,multiply(X1,X2)),
inference(cp,[status(thm)],[t22,t16]) ).
cnf(t131,plain,
add(X1,multiply(X1,X2)) = multiply(X1,add(X1,X2)),
inference(orient,[status(thm)],[t23]) ).
cnf(t15,axiom,
add(multiply(X1,X2),multiply(X3,X2)) = multiply(add(X1,X3),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t31,plain,
add(multiply(X1,X2),multiply(X3,X2)) = multiply(add(X1,X3),X2),
inference(orient,[status(thm)],[t15]) ).
cnf(t33,plain,
multiply(add(X1,X2),X1) = add(X1,multiply(X2,X1)),
inference(cp,[status(thm)],[t31,t16]) ).
cnf(t161,plain,
add(X1,multiply(X2,X1)) = multiply(add(X1,X2),X1),
inference(orient,[status(thm)],[t33]) ).
cnf(t5,axiom,
multiply(a,b) = c,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t47,plain,
multiply(a,b) = c,
inference(orient,[status(thm)],[t5]) ).
cnf(t138,plain,
multiply(a,add(a,b)) = add(a,c),
inference(cp,[status(thm)],[t131,t47]) ).
cnf(t8,axiom,
add(X1,X2) = add(X2,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t54,plain,
add(X1,X2) = add(X2,X1),
inference(orient,[status(thm)],[t8]) ).
cnf(t262,plain,
multiply(a,add(b,a)) = add(a,c),
inference(step,[status(thm)],[t138,t54]) ).
cnf(t263,plain,
multiply(a,add(b,a)) = add(c,a),
inference(step,[status(thm)],[t262,t54]) ).
cnf(t148,plain,
multiply(a,add(b,a)) = add(c,a),
inference(orient,[status(thm)],[t263]) ).
cnf(t168,plain,
multiply(add(add(b,a),a),add(b,a)) = add(add(b,a),add(c,a)),
inference(cp,[status(thm)],[t161,t148]) ).
cnf(t12,axiom,
add(add(X1,X2),X3) = add(X1,add(X2,X3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t58,plain,
add(add(X1,X2),X3) = add(X1,add(X2,X3)),
inference(orient,[status(thm)],[t12]) ).
cnf(t285,plain,
multiply(add(b,add(a,a)),add(b,a)) = add(add(b,a),add(c,a)),
inference(step,[status(thm)],[t168,t58]) ).
cnf(t7,axiom,
add(additive_inverse(X1),X1) = additive_identity,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t253,plain,
add(X1,additive_inverse(X1)) = additive_identity,
inference(step,[status(thm)],[t7,t54]) ).
cnf(t63,plain,
add(X1,additive_inverse(X1)) = additive_identity,
inference(orient,[status(thm)],[t253]) ).
cnf(t10,axiom,
multiply(additive_inverse(X1),X2) = additive_inverse(multiply(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t9,axiom,
multiply(X1,additive_inverse(X2)) = additive_inverse(multiply(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t25,plain,
additive_inverse(multiply(X1,X2)) = multiply(X1,additive_inverse(X2)),
inference(orient,[status(thm)],[t9]) ).
cnf(t252,plain,
multiply(additive_inverse(X1),X2) = multiply(X1,additive_inverse(X2)),
inference(step,[status(thm)],[t10,t25]) ).
cnf(t37,plain,
multiply(additive_inverse(X1),X2) = multiply(X1,additive_inverse(X2)),
inference(orient,[status(thm)],[t252]) ).
cnf(t38,plain,
multiply(X1,additive_inverse(additive_inverse(X1))) = additive_inverse(X1),
inference(cp,[status(thm)],[t37,t16]) ).
cnf(t2,axiom,
additive_inverse(additive_inverse(X1)) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t18,plain,
additive_inverse(additive_inverse(X1)) = X1,
inference(orient,[status(thm)],[t2]) ).
cnf(t254,plain,
multiply(X1,X1) = additive_inverse(X1),
inference(step,[status(thm)],[t38,t18]) ).
cnf(t255,plain,
X1 = additive_inverse(X1),
inference(step,[status(thm)],[t254,t16]) ).
cnf(t78,plain,
additive_inverse(X1) = X1,
inference(orient,[status(thm)],[t255]) ).
cnf(t256,plain,
add(X1,X1) = additive_identity,
inference(step,[status(thm)],[t63,t78]) ).
cnf(t79,plain,
add(X1,X1) = additive_identity,
inference(rw,[status(thm)],[t256]) ).
cnf(t81,plain,
add(X1,X1) = additive_identity,
inference(orient,[status(thm)],[t79]) ).
cnf(t286,plain,
multiply(add(b,additive_identity),add(b,a)) = add(add(b,a),add(c,a)),
inference(step,[status(thm)],[t285,t81]) ).
cnf(t1,axiom,
add(additive_identity,X1) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t17,plain,
add(additive_identity,X1) = X1,
inference(orient,[status(thm)],[t1]) ).
cnf(t55,plain,
add(X1,additive_identity) = X1,
inference(cp,[status(thm)],[t54,t17]) ).
cnf(t80,plain,
add(X1,additive_identity) = X1,
inference(orient,[status(thm)],[t55]) ).
cnf(t287,plain,
multiply(b,add(b,a)) = add(add(b,a),add(c,a)),
inference(step,[status(thm)],[t286,t80]) ).
cnf(t288,plain,
multiply(b,add(b,a)) = add(b,add(a,add(c,a))),
inference(step,[status(thm)],[t287,t58]) ).
cnf(t83,plain,
add(X1,add(X1,X2)) = add(additive_identity,X2),
inference(cp,[status(thm)],[t58,t81]) ).
cnf(t257,plain,
add(X1,add(X1,X2)) = X2,
inference(step,[status(thm)],[t83,t17]) ).
cnf(t84,plain,
add(X1,add(X1,X2)) = X2,
inference(orient,[status(thm)],[t257]) ).
cnf(t87,plain,
X1 = add(X2,add(X1,X2)),
inference(cp,[status(thm)],[t84,t54]) ).
cnf(t88,plain,
add(X1,add(X2,X1)) = X2,
inference(orient,[status(thm)],[t87]) ).
cnf(t289,plain,
multiply(b,add(b,a)) = add(b,c),
inference(step,[status(thm)],[t288,t88]) ).
cnf(t290,plain,
multiply(b,add(b,a)) = add(c,b),
inference(step,[status(thm)],[t289,t54]) ).
cnf(t234,plain,
multiply(b,add(b,a)) = add(c,b),
inference(orient,[status(thm)],[t290]) ).
cnf(t236,plain,
multiply(b,add(b,add(b,a))) = add(b,add(c,b)),
inference(cp,[status(thm)],[t131,t234]) ).
cnf(t291,plain,
multiply(b,a) = add(b,add(c,b)),
inference(step,[status(thm)],[t236,t84]) ).
cnf(t292,plain,
multiply(b,a) = c,
inference(step,[status(thm)],[t291,t88]) ).
cnf(t244,plain,
multiply(b,a) = c,
inference(orient,[status(thm)],[t292]) ).
cnf(goal_0,negated_conjecture,
multiply(b,a) != c,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(g0_0,plain,
c != c,
inference(rw,[status(thm)],[goal_0,t244]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : RNG008-4 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.07 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.18/0.45 % Computer : n002.cluster.edu
% 0.18/0.45 % Model : x86_64 x86_64
% 0.18/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.45 % Memory : 8046.5625MB
% 0.18/0.45 % OS : Linux 6.8.0-71-generic
% 0.18/0.45 % CPULimit : 300
% 0.18/0.45 % WCLimit : 300
% 0.18/0.45 % DateTime : Thu Sep 24 07:46:04 UTC 2026
% 0.18/0.45 % CPUTime :
% 0.18/0.45 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 8.18/1.65 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 8.18/1.65 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------