%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : RNG128-1 : TPTP v9.3.1. Released v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/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 02:37:48 PM UTC 2026
% Result : Unsatisfiable 0.14s 5.81s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 8
% Syntax : Number of clauses : 63 ( 63 unt; 0 nHn; 12 RR)
% Number of literals : 63 ( 62 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; 4 con; 0-2 aty)
% Number of variables : 83 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(t6,axiom,
add(mult(X1,X2),mult(X1,X3)) = mult(X1,add(X2,X3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t19,plain,
add(mult(X1,X2),mult(X1,X3)) = mult(X1,add(X2,X3)),
inference(orient,[status(thm)],[t6]) ).
cnf(t4,axiom,
add(unit,add(X1,mult(X1,X1))) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t7,plain,
add(unit,add(X1,mult(X1,X1))) = X1,
inference(orient,[status(thm)],[t4]) ).
cnf(t1,axiom,
mult(X1,unit) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t10,plain,
mult(X1,unit) = X1,
inference(orient,[status(thm)],[t1]) ).
cnf(t21,plain,
mult(X1,add(unit,X2)) = add(X1,mult(X1,X2)),
inference(cp,[status(thm)],[t19,t10]) ).
cnf(t35,plain,
add(X1,mult(X1,X2)) = mult(X1,add(unit,X2)),
inference(orient,[status(thm)],[t21]) ).
cnf(t107,plain,
add(unit,mult(X1,add(unit,X1))) = X1,
inference(step,[status(thm)],[t7,t35]) ).
cnf(t41,plain,
add(unit,mult(X1,add(unit,X1))) = X1,
inference(rw,[status(thm)],[t107]) ).
cnf(t0,axiom,
add(zero,X1) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t8,plain,
add(zero,X1) = X1,
inference(orient,[status(thm)],[t0]) ).
cnf(t9,plain,
zero = add(unit,mult(zero,zero)),
inference(cp,[status(thm)],[t7,t8]) ).
cnf(t31,plain,
add(unit,mult(zero,zero)) = zero,
inference(orient,[status(thm)],[t9]) ).
cnf(t37,plain,
mult(zero,add(unit,X1)) = mult(zero,X1),
inference(cp,[status(thm)],[t35,t8]) ).
cnf(t42,plain,
mult(zero,add(unit,X1)) = mult(zero,X1),
inference(orient,[status(thm)],[t37]) ).
cnf(t2,axiom,
add(X1,X2) = add(X2,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t12,plain,
add(X1,X2) = add(X2,X1),
inference(orient,[status(thm)],[t2]) ).
cnf(t13,plain,
add(X1,zero) = X1,
inference(cp,[status(thm)],[t12,t8]) ).
cnf(t28,plain,
add(X1,zero) = X1,
inference(orient,[status(thm)],[t13]) ).
cnf(t44,plain,
mult(zero,zero) = mult(zero,unit),
inference(cp,[status(thm)],[t42,t28]) ).
cnf(t108,plain,
mult(zero,zero) = zero,
inference(step,[status(thm)],[t44,t10]) ).
cnf(t47,plain,
mult(zero,zero) = zero,
inference(orient,[status(thm)],[t108]) ).
cnf(t109,plain,
add(unit,zero) = zero,
inference(step,[status(thm)],[t31,t47]) ).
cnf(t110,plain,
unit = zero,
inference(step,[status(thm)],[t109,t28]) ).
cnf(t48,plain,
unit = zero,
inference(rw,[status(thm)],[t110]) ).
cnf(t49,plain,
unit = zero,
inference(orient,[status(thm)],[t48]) ).
cnf(t120,plain,
add(zero,mult(X1,add(unit,X1))) = X1,
inference(step,[status(thm)],[t41,t49]) ).
cnf(t121,plain,
mult(X1,add(unit,X1)) = X1,
inference(step,[status(thm)],[t120,t8]) ).
cnf(t122,plain,
mult(X1,add(zero,X1)) = X1,
inference(step,[status(thm)],[t121,t49]) ).
cnf(t123,plain,
mult(X1,X1) = X1,
inference(step,[status(thm)],[t122,t8]) ).
cnf(t76,plain,
mult(X1,X1) = X1,
inference(orient,[status(thm)],[t123]) ).
cnf(t77,plain,
mult(X1,add(X1,X2)) = add(X1,mult(X1,X2)),
inference(cp,[status(thm)],[t19,t76]) ).
cnf(t111,plain,
add(X1,mult(X1,X2)) = mult(X1,add(zero,X2)),
inference(step,[status(thm)],[t35,t49]) ).
cnf(t112,plain,
add(X1,mult(X1,X2)) = mult(X1,X2),
inference(step,[status(thm)],[t111,t8]) ).
cnf(t50,plain,
add(X1,mult(X1,X2)) = mult(X1,X2),
inference(orient,[status(thm)],[t112]) ).
cnf(t124,plain,
mult(X1,add(X1,X2)) = mult(X1,X2),
inference(step,[status(thm)],[t77,t50]) ).
cnf(t79,plain,
mult(X1,add(X1,X2)) = mult(X1,X2),
inference(orient,[status(thm)],[t124]) ).
cnf(t5,axiom,
add(add(X1,X2),X3) = add(X1,add(X2,X3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t14,plain,
add(add(X1,X2),X3) = add(X1,add(X2,X3)),
inference(orient,[status(thm)],[t5]) ).
cnf(t116,plain,
mult(X1,zero) = X1,
inference(step,[status(thm)],[t10,t49]) ).
cnf(t53,plain,
mult(X1,zero) = X1,
inference(rw,[status(thm)],[t116]) ).
cnf(t56,plain,
mult(X1,zero) = X1,
inference(orient,[status(thm)],[t53]) ).
cnf(t57,plain,
mult(X1,zero) = add(X1,X1),
inference(cp,[status(thm)],[t50,t56]) ).
cnf(t117,plain,
X1 = add(X1,X1),
inference(step,[status(thm)],[t57,t56]) ).
cnf(t59,plain,
add(X1,X1) = X1,
inference(orient,[status(thm)],[t117]) ).
cnf(t61,plain,
add(X1,add(X1,X2)) = add(X1,X2),
inference(cp,[status(thm)],[t14,t59]) ).
cnf(t62,plain,
add(X1,add(X1,X2)) = add(X1,X2),
inference(orient,[status(thm)],[t61]) ).
cnf(t65,plain,
add(X1,X2) = add(X1,add(X2,X1)),
inference(cp,[status(thm)],[t62,t12]) ).
cnf(t66,plain,
add(X1,add(X2,X1)) = add(X1,X2),
inference(orient,[status(thm)],[t65]) ).
cnf(t80,plain,
mult(X1,add(X2,X1)) = mult(X1,add(X1,X2)),
inference(cp,[status(thm)],[t79,t66]) ).
cnf(t125,plain,
mult(X1,add(X2,X1)) = mult(X1,X2),
inference(step,[status(thm)],[t80,t79]) ).
cnf(t87,plain,
mult(X1,add(X2,X1)) = mult(X1,X2),
inference(orient,[status(thm)],[t125]) ).
cnf(t88,plain,
mult(add(X1,X2),X1) = mult(add(X1,X2),add(X1,X2)),
inference(cp,[status(thm)],[t87,t62]) ).
cnf(t3,axiom,
mult(X1,X2) = mult(X2,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t24,plain,
mult(X1,X2) = mult(X2,X1),
inference(orient,[status(thm)],[t3]) ).
cnf(t126,plain,
mult(X1,add(X1,X2)) = mult(add(X1,X2),add(X1,X2)),
inference(step,[status(thm)],[t88,t24]) ).
cnf(t127,plain,
mult(X1,X2) = mult(add(X1,X2),add(X1,X2)),
inference(step,[status(thm)],[t126,t79]) ).
cnf(t128,plain,
mult(X1,X2) = add(X1,X2),
inference(step,[status(thm)],[t127,t76]) ).
cnf(t97,plain,
add(X1,X2) = mult(X1,X2),
inference(orient,[status(thm)],[t128]) ).
cnf(goal_0,negated_conjecture,
mult(x0,x1) != add(x0,x1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(g0_0,plain,
mult(x0,x1) != mult(x0,x1),
inference(rw,[status(thm)],[goal_0,t97]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : RNG128-1 : TPTP v9.3.1. Released v5.4.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.09/5.37 % Computer : n002.cluster.edu
% 0.09/5.37 % Model : x86_64 x86_64
% 0.09/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.37 % Memory : 8046.5625MB
% 0.09/5.37 % OS : Linux 6.8.0-71-generic
% 0.09/5.37 % CPULimit : 300
% 0.09/5.37 % WCLimit : 300
% 0.09/5.37 % DateTime : Thu Sep 24 08:26:02 UTC 2026
% 0.09/5.37 % CPUTime :
% 0.09/5.37 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.14/5.81 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/5.81 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------