%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : BOO024-1 : TPTP v9.3.1. Released v2.2.0.
% 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 12:59:39 PM UTC 2026
% Result : Unsatisfiable 7.54s 16.57s
% Output : CNFRefutation 7.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 69
% Number of leaves : 8
% Syntax : Number of clauses : 168 ( 168 unt; 0 nHn; 56 RR)
% Number of literals : 168 ( 167 equ; 6 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 6 con; 0-3 aty)
% Number of variables : 159 ( 28 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(t1,axiom,
multiply(add(X1,X2),X2) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t10,plain,
multiply(add(X1,X2),X2) = X2,
inference(orient,[status(thm)],[t1]) ).
cnf(t2,axiom,
add(multiply(X1,X2),multiply(X3,X2)) = multiply(X2,add(X1,X3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t16,plain,
add(multiply(X1,X2),multiply(X3,X2)) = multiply(X2,add(X1,X3)),
inference(orient,[status(thm)],[t2]) ).
cnf(t25,plain,
multiply(X1,X2) = multiply(multiply(X2,add(X3,X1)),multiply(X1,X2)),
inference(cp,[status(thm)],[t10,t16]) ).
cnf(t137,plain,
multiply(multiply(X1,add(X2,X3)),multiply(X3,X1)) = multiply(X3,X1),
inference(orient,[status(thm)],[t25]) ).
cnf(t7,axiom,
sF1 = add(multiply(a,b),b),
introduced(definition) ).
cnf(t6,axiom,
sF0 = multiply(a,b),
introduced(definition) ).
cnf(t8,plain,
multiply(a,b) = sF0,
inference(orient,[status(thm)],[t6]) ).
cnf(t2584,plain,
sF1 = add(sF0,b),
inference(step,[status(thm)],[t7,t8]) ).
cnf(t13,plain,
add(sF0,b) = sF1,
inference(orient,[status(thm)],[t2584]) ).
cnf(t140,plain,
multiply(b,X1) = multiply(multiply(X1,sF1),multiply(b,X1)),
inference(cp,[status(thm)],[t137,t13]) ).
cnf(t163,plain,
multiply(multiply(X1,sF1),multiply(b,X1)) = multiply(b,X1),
inference(orient,[status(thm)],[t140]) ).
cnf(t164,plain,
multiply(b,add(X1,sF1)) = multiply(sF1,multiply(b,add(X1,sF1))),
inference(cp,[status(thm)],[t163,t10]) ).
cnf(t219,plain,
multiply(sF1,multiply(b,add(X1,sF1))) = multiply(b,add(X1,sF1)),
inference(orient,[status(thm)],[t164]) ).
cnf(t17,plain,
multiply(b,add(a,X1)) = add(sF0,multiply(X1,b)),
inference(cp,[status(thm)],[t16,t8]) ).
cnf(t26,plain,
add(sF0,multiply(X1,b)) = multiply(b,add(a,X1)),
inference(orient,[status(thm)],[t17]) ).
cnf(t14,plain,
b = multiply(sF1,b),
inference(cp,[status(thm)],[t10,t13]) ).
cnf(t15,plain,
multiply(sF1,b) = b,
inference(orient,[status(thm)],[t14]) ).
cnf(t29,plain,
multiply(b,add(a,sF1)) = add(sF0,b),
inference(cp,[status(thm)],[t26,t15]) ).
cnf(t2587,plain,
multiply(b,add(a,sF1)) = sF1,
inference(step,[status(thm)],[t29,t13]) ).
cnf(t47,plain,
multiply(b,add(a,sF1)) = sF1,
inference(orient,[status(thm)],[t2587]) ).
cnf(t166,plain,
multiply(b,add(a,sF1)) = multiply(multiply(add(a,sF1),sF1),sF1),
inference(cp,[status(thm)],[t163,t47]) ).
cnf(t2590,plain,
sF1 = multiply(multiply(add(a,sF1),sF1),sF1),
inference(step,[status(thm)],[t166,t47]) ).
cnf(t2591,plain,
sF1 = multiply(sF1,sF1),
inference(step,[status(thm)],[t2590,t10]) ).
cnf(t178,plain,
multiply(sF1,sF1) = sF1,
inference(orient,[status(thm)],[t2591]) ).
cnf(t180,plain,
multiply(sF1,add(X1,sF1)) = add(multiply(X1,sF1),sF1),
inference(cp,[status(thm)],[t16,t178]) ).
cnf(t194,plain,
add(multiply(X1,sF1),sF1) = multiply(sF1,add(X1,sF1)),
inference(orient,[status(thm)],[t180]) ).
cnf(t221,plain,
multiply(b,add(multiply(X1,sF1),sF1)) = multiply(sF1,multiply(b,multiply(sF1,add(X1,sF1)))),
inference(cp,[status(thm)],[t219,t194]) ).
cnf(t2637,plain,
multiply(b,multiply(sF1,add(X1,sF1))) = multiply(sF1,multiply(b,multiply(sF1,add(X1,sF1)))),
inference(step,[status(thm)],[t221,t194]) ).
cnf(t1635,plain,
multiply(sF1,multiply(b,multiply(sF1,add(X1,sF1)))) = multiply(b,multiply(sF1,add(X1,sF1))),
inference(orient,[status(thm)],[t2637]) ).
cnf(t19,plain,
multiply(X1,add(add(X2,X1),X3)) = add(X1,multiply(X3,X1)),
inference(cp,[status(thm)],[t16,t10]) ).
cnf(t61,plain,
multiply(X1,add(add(X2,X1),X3)) = add(X1,multiply(X3,X1)),
inference(orient,[status(thm)],[t19]) ).
cnf(u0,axiom,
pixley(X,X,Y) = Y,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(d0,axiom,
pixley(X,Y,Z) = add(multiply(X,inverse(Y)),add(multiply(X,Z),multiply(inverse(Y),Z))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t3,plain,
add(multiply(X1,inverse(X1)),add(multiply(X1,X2),multiply(inverse(X1),X2))) = X2,
inference(definition_unfolding,[status(thm)],[u0,d0]) ).
cnf(t2585,plain,
add(multiply(X1,inverse(X1)),multiply(X2,add(X1,inverse(X1)))) = X2,
inference(step,[status(thm)],[t3,t16]) ).
cnf(t0,axiom,
add(X1,inverse(X1)) = n1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t9,plain,
add(X1,inverse(X1)) = n1,
inference(orient,[status(thm)],[t0]) ).
cnf(t2586,plain,
add(multiply(X1,inverse(X1)),multiply(X2,n1)) = X2,
inference(step,[status(thm)],[t2585,t9]) ).
cnf(t37,plain,
add(multiply(X1,inverse(X1)),multiply(X2,n1)) = X2,
inference(orient,[status(thm)],[t2586]) ).
cnf(t38,plain,
add(X1,n1) = add(multiply(X2,inverse(X2)),n1),
inference(cp,[status(thm)],[t37,t10]) ).
cnf(t11,plain,
inverse(X1) = multiply(n1,inverse(X1)),
inference(cp,[status(thm)],[t10,t9]) ).
cnf(t12,plain,
multiply(n1,inverse(X1)) = inverse(X1),
inference(orient,[status(thm)],[t11]) ).
cnf(t39,plain,
X1 = add(inverse(n1),multiply(X1,n1)),
inference(cp,[status(thm)],[t37,t12]) ).
cnf(t59,plain,
add(inverse(n1),multiply(X1,n1)) = X1,
inference(orient,[status(thm)],[t39]) ).
cnf(t60,plain,
add(X1,n1) = add(inverse(n1),n1),
inference(cp,[status(thm)],[t59,t10]) ).
cnf(t100,plain,
add(X1,n1) = add(inverse(n1),n1),
inference(orient,[status(thm)],[t60]) ).
cnf(t2594,plain,
add(X1,n1) = add(inverse(n1),n1),
inference(step,[status(thm)],[t38,t100]) ).
cnf(t2595,plain,
add(X1,n1) = add(f1,n1),
inference(step,[status(thm)],[t2594,t100]) ).
cnf(t191,plain,
add(X1,n1) = add(f1,n1),
inference(orient,[status(thm)],[t2595]) ).
cnf(t193,plain,
add(X1,multiply(n1,X1)) = multiply(X1,add(f1,n1)),
inference(cp,[status(thm)],[t61,t191]) ).
cnf(t208,plain,
add(X1,multiply(n1,X1)) = multiply(X1,add(f1,n1)),
inference(orient,[status(thm)],[t193]) ).
cnf(t40,plain,
multiply(X1,n1) = multiply(X1,multiply(X1,n1)),
inference(cp,[status(thm)],[t10,t37]) ).
cnf(t56,plain,
multiply(X1,multiply(X1,n1)) = multiply(X1,n1),
inference(orient,[status(thm)],[t40]) ).
cnf(t211,plain,
multiply(multiply(n1,n1),add(f1,n1)) = add(multiply(n1,n1),multiply(n1,n1)),
inference(cp,[status(thm)],[t208,t56]) ).
cnf(t2597,plain,
multiply(multiply(n1,n1),add(f1,n1)) = multiply(n1,add(n1,n1)),
inference(step,[status(thm)],[t211,t16]) ).
cnf(t2598,plain,
multiply(multiply(n1,n1),add(f1,n1)) = multiply(n1,add(f1,n1)),
inference(step,[status(thm)],[t2597,t191]) ).
cnf(t238,plain,
multiply(multiply(n1,n1),add(f1,n1)) = multiply(n1,add(f1,n1)),
inference(orient,[status(thm)],[t2598]) ).
cnf(t241,plain,
multiply(add(f1,n1),add(X1,multiply(n1,n1))) = add(multiply(X1,add(f1,n1)),multiply(n1,add(f1,n1))),
inference(cp,[status(thm)],[t16,t238]) ).
cnf(t2643,plain,
multiply(add(f1,n1),add(X1,multiply(n1,n1))) = multiply(add(f1,n1),add(X1,n1)),
inference(step,[status(thm)],[t241,t16]) ).
cnf(t1764,plain,
multiply(add(f1,n1),add(X1,multiply(n1,n1))) = multiply(add(f1,n1),add(X1,n1)),
inference(orient,[status(thm)],[t2643]) ).
cnf(t1767,plain,
multiply(add(f1,n1),add(inverse(n1),n1)) = multiply(add(f1,n1),n1),
inference(cp,[status(thm)],[t1764,t59]) ).
cnf(t2644,plain,
multiply(add(f1,n1),add(f1,n1)) = multiply(add(f1,n1),n1),
inference(step,[status(thm)],[t1767,t100]) ).
cnf(t139,plain,
multiply(X1,add(X2,add(X3,X1))) = multiply(add(X3,X1),multiply(X1,add(X2,add(X3,X1)))),
inference(cp,[status(thm)],[t137,t10]) ).
cnf(t20,plain,
multiply(X1,add(X2,add(X3,X1))) = add(multiply(X2,X1),X1),
inference(cp,[status(thm)],[t16,t10]) ).
cnf(t68,plain,
multiply(X1,add(X2,add(X3,X1))) = add(multiply(X2,X1),X1),
inference(orient,[status(thm)],[t20]) ).
cnf(t2602,plain,
add(multiply(X2,X1),X1) = multiply(add(X3,X1),multiply(X1,add(X2,add(X3,X1)))),
inference(step,[status(thm)],[t139,t68]) ).
cnf(t2603,plain,
add(multiply(X2,X1),X1) = multiply(add(X3,X1),add(multiply(X2,X1),X1)),
inference(step,[status(thm)],[t2602,t68]) ).
cnf(t552,plain,
multiply(add(X1,X2),add(multiply(X3,X2),X2)) = add(multiply(X3,X2),X2),
inference(orient,[status(thm)],[t2603]) ).
cnf(t554,plain,
add(multiply(add(X1,X2),X2),X2) = multiply(add(X3,X2),add(X2,X2)),
inference(cp,[status(thm)],[t552,t10]) ).
cnf(t2607,plain,
add(X2,X2) = multiply(add(X3,X2),add(X2,X2)),
inference(step,[status(thm)],[t554,t10]) ).
cnf(t713,plain,
multiply(add(X1,X2),add(X2,X2)) = add(X2,X2),
inference(orient,[status(thm)],[t2607]) ).
cnf(t725,plain,
add(n1,n1) = multiply(add(X1,n1),add(f1,n1)),
inference(cp,[status(thm)],[t713,t191]) ).
cnf(t2612,plain,
add(f1,n1) = multiply(add(X1,n1),add(f1,n1)),
inference(step,[status(thm)],[t725,t191]) ).
cnf(t908,plain,
multiply(add(X1,n1),add(f1,n1)) = add(f1,n1),
inference(orient,[status(thm)],[t2612]) ).
cnf(t2645,plain,
add(f1,n1) = multiply(add(f1,n1),n1),
inference(step,[status(thm)],[t2644,t908]) ).
cnf(t2646,plain,
add(f1,n1) = n1,
inference(step,[status(thm)],[t2645,t10]) ).
cnf(t1785,plain,
add(f1,n1) = n1,
inference(orient,[status(thm)],[t2646]) ).
cnf(t2649,plain,
add(X1,multiply(n1,X1)) = multiply(X1,n1),
inference(step,[status(thm)],[t208,t1785]) ).
cnf(t1788,plain,
add(X1,multiply(n1,X1)) = multiply(X1,n1),
inference(orient,[status(thm)],[t2649]) ).
cnf(t138,plain,
multiply(inverse(X1),X2) = multiply(multiply(X2,n1),multiply(inverse(X1),X2)),
inference(cp,[status(thm)],[t137,t9]) ).
cnf(t249,plain,
multiply(multiply(X1,n1),multiply(inverse(X2),X1)) = multiply(inverse(X2),X1),
inference(orient,[status(thm)],[t138]) ).
cnf(t250,plain,
multiply(inverse(X1),add(X2,n1)) = multiply(n1,multiply(inverse(X1),add(X2,n1))),
inference(cp,[status(thm)],[t249,t10]) ).
cnf(t265,plain,
multiply(n1,multiply(inverse(X1),add(X2,n1))) = multiply(inverse(X1),add(X2,n1)),
inference(orient,[status(thm)],[t250]) ).
cnf(t1804,plain,
multiply(inverse(X1),add(f1,n1)) = multiply(n1,multiply(inverse(X1),n1)),
inference(cp,[status(thm)],[t265,t1785]) ).
cnf(t2654,plain,
multiply(inverse(X1),n1) = multiply(n1,multiply(inverse(X1),n1)),
inference(step,[status(thm)],[t1804,t1785]) ).
cnf(t1881,plain,
multiply(n1,multiply(inverse(X1),n1)) = multiply(inverse(X1),n1),
inference(orient,[status(thm)],[t2654]) ).
cnf(t1885,plain,
multiply(multiply(inverse(X1),n1),n1) = add(multiply(inverse(X1),n1),multiply(inverse(X1),n1)),
inference(cp,[status(thm)],[t1788,t1881]) ).
cnf(t2655,plain,
multiply(multiply(inverse(X1),n1),n1) = multiply(n1,add(inverse(X1),inverse(X1))),
inference(step,[status(thm)],[t1885,t16]) ).
cnf(t21,plain,
multiply(inverse(X1),add(n1,X2)) = add(inverse(X1),multiply(X2,inverse(X1))),
inference(cp,[status(thm)],[t16,t12]) ).
cnf(t74,plain,
add(inverse(X1),multiply(X2,inverse(X1))) = multiply(inverse(X1),add(n1,X2)),
inference(orient,[status(thm)],[t21]) ).
cnf(t75,plain,
multiply(inverse(X1),add(n1,n1)) = add(inverse(X1),inverse(X1)),
inference(cp,[status(thm)],[t74,t12]) ).
cnf(t2630,plain,
multiply(inverse(X1),add(f1,n1)) = add(inverse(X1),inverse(X1)),
inference(step,[status(thm)],[t75,t191]) ).
cnf(t1507,plain,
multiply(inverse(X1),add(f1,n1)) = add(inverse(X1),inverse(X1)),
inference(orient,[status(thm)],[t2630]) ).
cnf(t2651,plain,
multiply(inverse(X1),n1) = add(inverse(X1),inverse(X1)),
inference(step,[status(thm)],[t1507,t1785]) ).
cnf(t1793,plain,
multiply(inverse(X1),n1) = add(inverse(X1),inverse(X1)),
inference(rw,[status(thm)],[t2651]) ).
cnf(t1846,plain,
add(inverse(X1),inverse(X1)) = multiply(inverse(X1),n1),
inference(orient,[status(thm)],[t1793]) ).
cnf(t2656,plain,
multiply(multiply(inverse(X1),n1),n1) = multiply(n1,multiply(inverse(X1),n1)),
inference(step,[status(thm)],[t2655,t1846]) ).
cnf(t2657,plain,
multiply(multiply(inverse(X1),n1),n1) = multiply(inverse(X1),n1),
inference(step,[status(thm)],[t2656,t1881]) ).
cnf(t1895,plain,
multiply(multiply(inverse(X1),n1),n1) = multiply(inverse(X1),n1),
inference(orient,[status(thm)],[t2657]) ).
cnf(t1898,plain,
multiply(inverse(X1),n1) = add(multiply(X2,inverse(X2)),multiply(inverse(X1),n1)),
inference(cp,[status(thm)],[t37,t1895]) ).
cnf(t2660,plain,
multiply(inverse(X1),n1) = inverse(X1),
inference(step,[status(thm)],[t1898,t37]) ).
cnf(t1932,plain,
multiply(inverse(X1),n1) = inverse(X1),
inference(orient,[status(thm)],[t2660]) ).
cnf(t1942,plain,
inverse(X1) = add(inverse(n1),inverse(X1)),
inference(cp,[status(thm)],[t59,t1932]) ).
cnf(t1967,plain,
add(inverse(n1),inverse(X1)) = inverse(X1),
inference(orient,[status(thm)],[t1942]) ).
cnf(t1968,plain,
inverse(inverse(n1)) = n1,
inference(cp,[status(thm)],[t1967,t9]) ).
cnf(t1984,plain,
inverse(inverse(n1)) = n1,
inference(orient,[status(thm)],[t1968]) ).
cnf(t1986,plain,
X1 = add(multiply(inverse(n1),n1),multiply(X1,n1)),
inference(cp,[status(thm)],[t37,t1984]) ).
cnf(t2676,plain,
X1 = multiply(n1,add(inverse(n1),X1)),
inference(step,[status(thm)],[t1986,t16]) ).
cnf(t2100,plain,
multiply(n1,add(inverse(n1),X1)) = X1,
inference(orient,[status(thm)],[t2676]) ).
cnf(t2109,plain,
multiply(add(inverse(n1),X1),n1) = add(add(inverse(n1),X1),X1),
inference(cp,[status(thm)],[t1788,t2100]) ).
cnf(t1938,plain,
multiply(n1,add(inverse(X1),X2)) = add(inverse(X1),multiply(X2,n1)),
inference(cp,[status(thm)],[t16,t1932]) ).
cnf(t2031,plain,
add(inverse(X1),multiply(X2,n1)) = multiply(n1,add(inverse(X1),X2)),
inference(orient,[status(thm)],[t1938]) ).
cnf(t2105,plain,
multiply(X1,n1) = multiply(n1,multiply(n1,add(inverse(n1),X1))),
inference(cp,[status(thm)],[t2100,t2031]) ).
cnf(t2685,plain,
multiply(X1,n1) = multiply(n1,X1),
inference(step,[status(thm)],[t2105,t2100]) ).
cnf(t2163,plain,
multiply(X1,n1) = multiply(n1,X1),
inference(orient,[status(thm)],[t2685]) ).
cnf(t2691,plain,
multiply(n1,add(inverse(n1),X1)) = add(add(inverse(n1),X1),X1),
inference(step,[status(thm)],[t2109,t2163]) ).
cnf(t2692,plain,
X1 = add(add(inverse(n1),X1),X1),
inference(step,[status(thm)],[t2691,t2100]) ).
cnf(t2284,plain,
add(add(inverse(n1),X1),X1) = X1,
inference(orient,[status(thm)],[t2692]) ).
cnf(t2335,plain,
multiply(b,multiply(sF1,add(add(inverse(n1),sF1),sF1))) = multiply(sF1,multiply(b,multiply(sF1,sF1))),
inference(cp,[status(thm)],[t1635,t2284]) ).
cnf(t2697,plain,
multiply(b,add(sF1,multiply(sF1,sF1))) = multiply(sF1,multiply(b,multiply(sF1,sF1))),
inference(step,[status(thm)],[t2335,t61]) ).
cnf(t179,plain,
multiply(sF1,add(sF1,X1)) = add(sF1,multiply(X1,sF1)),
inference(cp,[status(thm)],[t16,t178]) ).
cnf(t188,plain,
add(sF1,multiply(X1,sF1)) = multiply(sF1,add(sF1,X1)),
inference(orient,[status(thm)],[t179]) ).
cnf(t2698,plain,
multiply(b,multiply(sF1,add(sF1,sF1))) = multiply(sF1,multiply(b,multiply(sF1,sF1))),
inference(step,[status(thm)],[t2697,t188]) ).
cnf(t190,plain,
multiply(sF1,add(sF1,sF1)) = add(sF1,sF1),
inference(cp,[status(thm)],[t188,t178]) ).
cnf(t204,plain,
multiply(sF1,add(sF1,sF1)) = add(sF1,sF1),
inference(orient,[status(thm)],[t190]) ).
cnf(t2699,plain,
multiply(b,add(sF1,sF1)) = multiply(sF1,multiply(b,multiply(sF1,sF1))),
inference(step,[status(thm)],[t2698,t204]) ).
cnf(t23,plain,
multiply(b,add(sF1,X1)) = add(b,multiply(X1,b)),
inference(cp,[status(thm)],[t16,t15]) ).
cnf(t34,plain,
add(b,multiply(X1,b)) = multiply(b,add(sF1,X1)),
inference(orient,[status(thm)],[t23]) ).
cnf(t36,plain,
multiply(b,add(sF1,sF1)) = add(b,b),
inference(cp,[status(thm)],[t34,t15]) ).
cnf(t53,plain,
multiply(b,add(sF1,sF1)) = add(b,b),
inference(orient,[status(thm)],[t36]) ).
cnf(t2700,plain,
add(b,b) = multiply(sF1,multiply(b,multiply(sF1,sF1))),
inference(step,[status(thm)],[t2699,t53]) ).
cnf(t2292,plain,
X1 = multiply(X1,X1),
inference(cp,[status(thm)],[t10,t2284]) ).
cnf(t2338,plain,
multiply(X1,X1) = X1,
inference(orient,[status(thm)],[t2292]) ).
cnf(t2701,plain,
add(b,b) = multiply(sF1,multiply(b,sF1)),
inference(step,[status(thm)],[t2700,t2338]) ).
cnf(t553,plain,
add(multiply(a,b),b) = multiply(add(X1,b),add(sF0,b)),
inference(cp,[status(thm)],[t552,t8]) ).
cnf(t24,plain,
multiply(b,add(X1,sF1)) = add(multiply(X1,b),b),
inference(cp,[status(thm)],[t16,t15]) ).
cnf(t41,plain,
add(multiply(X1,b),b) = multiply(b,add(X1,sF1)),
inference(orient,[status(thm)],[t24]) ).
cnf(t2604,plain,
multiply(b,add(a,sF1)) = multiply(add(X1,b),add(sF0,b)),
inference(step,[status(thm)],[t553,t41]) ).
cnf(t2605,plain,
sF1 = multiply(add(X1,b),add(sF0,b)),
inference(step,[status(thm)],[t2604,t47]) ).
cnf(t2606,plain,
sF1 = multiply(add(X1,b),sF1),
inference(step,[status(thm)],[t2605,t13]) ).
cnf(t610,plain,
multiply(add(X1,b),sF1) = sF1,
inference(orient,[status(thm)],[t2606]) ).
cnf(t2315,plain,
sF1 = multiply(b,sF1),
inference(cp,[status(thm)],[t610,t2284]) ).
cnf(t2399,plain,
multiply(b,sF1) = sF1,
inference(orient,[status(thm)],[t2315]) ).
cnf(t2702,plain,
add(b,b) = multiply(sF1,sF1),
inference(step,[status(thm)],[t2701,t2399]) ).
cnf(t2703,plain,
add(b,b) = sF1,
inference(step,[status(thm)],[t2702,t2338]) ).
cnf(t2415,plain,
add(b,b) = sF1,
inference(orient,[status(thm)],[t2703]) ).
cnf(t2293,plain,
add(X1,multiply(X1,X1)) = multiply(X1,X1),
inference(cp,[status(thm)],[t61,t2284]) ).
cnf(t2715,plain,
add(X1,X1) = multiply(X1,X1),
inference(step,[status(thm)],[t2293,t2338]) ).
cnf(t2716,plain,
add(X1,X1) = X1,
inference(step,[status(thm)],[t2715,t2338]) ).
cnf(t2482,plain,
add(X1,X1) = X1,
inference(orient,[status(thm)],[t2716]) ).
cnf(t2721,plain,
b = sF1,
inference(step,[status(thm)],[t2415,t2482]) ).
cnf(t2501,plain,
b = sF1,
inference(rw,[status(thm)],[t2721]) ).
cnf(t2516,plain,
b = sF1,
inference(orient,[status(thm)],[t2501]) ).
cnf(t2722,plain,
multiply(a,sF1) = sF0,
inference(step,[status(thm)],[t8,t2516]) ).
cnf(t2517,plain,
multiply(a,sF1) = sF0,
inference(rw,[status(thm)],[t2722]) ).
cnf(t2570,plain,
multiply(a,sF1) = sF0,
inference(orient,[status(thm)],[t2517]) ).
cnf(t2723,plain,
add(sF0,sF1) = sF1,
inference(step,[status(thm)],[t13,t2516]) ).
cnf(t2518,plain,
add(sF0,sF1) = sF1,
inference(rw,[status(thm)],[t2723]) ).
cnf(t2581,plain,
add(sF0,sF1) = sF1,
inference(orient,[status(thm)],[t2518]) ).
cnf(goal_0,negated_conjecture,
add(multiply(a,b),b) != b,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(g0_0,plain,
add(multiply(a,sF1),b) != b,
inference(rw,[status(thm)],[goal_0,t2516]) ).
cnf(g0_1,plain,
add(sF0,b) != b,
inference(rw,[status(thm)],[g0_0,t2570]) ).
cnf(g0_2,plain,
add(sF0,sF1) != b,
inference(rw,[status(thm)],[g0_1,t2516]) ).
cnf(g0_3,plain,
sF1 != b,
inference(rw,[status(thm)],[g0_2,t2581]) ).
cnf(g0_4,plain,
sF1 != sF1,
inference(rw,[status(thm)],[g0_3,t2516]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : BOO024-1 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.10/15.38 % Computer : n004.cluster.edu
% 0.10/15.38 % Model : x86_64 x86_64
% 0.10/15.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/15.38 % Memory : 8046.5625MB
% 0.10/15.38 % OS : Linux 6.8.0-71-generic
% 0.10/15.38 % CPULimit : 300
% 0.10/15.38 % WCLimit : 300
% 0.10/15.38 % DateTime : Fri Sep 25 06:35:07 UTC 2026
% 0.10/15.39 % CPUTime :
% 0.10/15.39 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 7.54/16.57 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 7.54/16.57 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------