%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : BOO015-4 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n005.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 12:59:37 PM UTC 2026
% Result : Unsatisfiable 9.82s 2.15s
% Output : CNFRefutation 9.82s
% Verified :
% SZS Type : Refutation
% Derivation depth : 65
% Number of leaves : 14
% Syntax : Number of clauses : 270 ( 270 unt; 0 nHn; 136 RR)
% Number of literals : 270 ( 269 equ; 9 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 : 12 ( 12 usr; 9 con; 0-2 aty)
% Number of variables : 173 ( 28 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(t4,axiom,
add(X1,X2) = add(X2,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t36,plain,
add(X1,X2) = add(X2,X1),
inference(orient,[status(thm)],[t4]) ).
cnf(t9,axiom,
sFlat1 = inverse(b),
introduced(definition) ).
cnf(t54,plain,
inverse(b) = sFlat1,
inference(orient,[status(thm)],[t9]) ).
cnf(t8,axiom,
sFlat0 = inverse(a),
introduced(definition) ).
cnf(t50,plain,
inverse(a) = sFlat0,
inference(orient,[status(thm)],[t8]) ).
cnf(t10,axiom,
sFlat2 = add(inverse(a),inverse(b)),
introduced(definition) ).
cnf(t3937,plain,
sFlat2 = add(inverse(b),inverse(a)),
inference(step,[status(thm)],[t10,t36]) ).
cnf(t44,plain,
add(inverse(b),inverse(a)) = sFlat2,
inference(orient,[status(thm)],[t3937]) ).
cnf(t3940,plain,
add(inverse(b),sFlat0) = sFlat2,
inference(step,[status(thm)],[t44,t50]) ).
cnf(t53,plain,
add(inverse(b),sFlat0) = sFlat2,
inference(rw,[status(thm)],[t3940]) ).
cnf(t3945,plain,
add(sFlat0,inverse(b)) = sFlat2,
inference(step,[status(thm)],[t53,t36]) ).
cnf(t3946,plain,
add(sFlat0,sFlat1) = sFlat2,
inference(step,[status(thm)],[t3945,t54]) ).
cnf(t81,plain,
add(sFlat0,sFlat1) = sFlat2,
inference(orient,[status(thm)],[t3946]) ).
cnf(t5,axiom,
multiply(X1,X2) = multiply(X2,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t15,plain,
multiply(X1,X2) = multiply(X2,X1),
inference(orient,[status(thm)],[t5]) ).
cnf(t11,axiom,
sFlat3 = multiply(a,b),
introduced(definition) ).
cnf(t3936,plain,
sFlat3 = multiply(b,a),
inference(step,[status(thm)],[t11,t15]) ).
cnf(t33,plain,
multiply(b,a) = sFlat3,
inference(orient,[status(thm)],[t3936]) ).
cnf(t12,axiom,
sFlat4 = inverse(multiply(a,b)),
introduced(definition) ).
cnf(t3938,plain,
sFlat4 = inverse(multiply(b,a)),
inference(step,[status(thm)],[t12,t15]) ).
cnf(t3939,plain,
sFlat4 = inverse(sFlat3),
inference(step,[status(thm)],[t3938,t33]) ).
cnf(t47,plain,
inverse(sFlat3) = sFlat4,
inference(orient,[status(thm)],[t3939]) ).
cnf(t6,axiom,
add(multiply(X1,X2),multiply(X1,X3)) = multiply(X1,add(X2,X3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t17,plain,
add(multiply(X1,X2),multiply(X1,X3)) = multiply(X1,add(X2,X3)),
inference(orient,[status(thm)],[t6]) ).
cnf(t19,plain,
multiply(X1,add(X2,X3)) = add(multiply(X2,X1),multiply(X1,X3)),
inference(cp,[status(thm)],[t17,t15]) ).
cnf(t487,plain,
add(multiply(X1,X2),multiply(X2,X3)) = multiply(X2,add(X1,X3)),
inference(orient,[status(thm)],[t19]) ).
cnf(t3,axiom,
multiply(X1,inverse(X1)) = additive_identity,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t22,plain,
multiply(X1,inverse(X1)) = additive_identity,
inference(orient,[status(thm)],[t3]) ).
cnf(t49,plain,
additive_identity = multiply(sFlat3,sFlat4),
inference(cp,[status(thm)],[t22,t47]) ).
cnf(t66,plain,
multiply(sFlat3,sFlat4) = additive_identity,
inference(orient,[status(thm)],[t49]) ).
cnf(t518,plain,
multiply(sFlat4,add(sFlat3,X1)) = add(additive_identity,multiply(sFlat4,X1)),
inference(cp,[status(thm)],[t487,t66]) ).
cnf(t0,axiom,
add(X1,additive_identity) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t14,plain,
add(X1,additive_identity) = X1,
inference(orient,[status(thm)],[t0]) ).
cnf(t37,plain,
add(additive_identity,X1) = X1,
inference(cp,[status(thm)],[t36,t14]) ).
cnf(t60,plain,
add(additive_identity,X1) = X1,
inference(orient,[status(thm)],[t37]) ).
cnf(t4083,plain,
multiply(sFlat4,add(sFlat3,X1)) = multiply(sFlat4,X1),
inference(step,[status(thm)],[t518,t60]) ).
cnf(t849,plain,
multiply(sFlat4,add(sFlat3,X1)) = multiply(sFlat4,X1),
inference(orient,[status(thm)],[t4083]) ).
cnf(t859,plain,
multiply(sFlat4,X1) = multiply(sFlat4,add(X1,sFlat3)),
inference(cp,[status(thm)],[t849,t36]) ).
cnf(t1434,plain,
multiply(sFlat4,add(X1,sFlat3)) = multiply(sFlat4,X1),
inference(orient,[status(thm)],[t859]) ).
cnf(t7,axiom,
multiply(add(X1,X2),add(X1,X3)) = add(X1,multiply(X2,X3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t25,plain,
multiply(add(X1,X2),add(X1,X3)) = add(X1,multiply(X2,X3)),
inference(orient,[status(thm)],[t7]) ).
cnf(t1,axiom,
multiply(X1,multiplicative_identity) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t13,plain,
multiply(X1,multiplicative_identity) = X1,
inference(orient,[status(thm)],[t1]) ).
cnf(t18,plain,
multiply(X1,add(multiplicative_identity,X2)) = add(X1,multiply(X1,X2)),
inference(cp,[status(thm)],[t17,t13]) ).
cnf(t176,plain,
add(X1,multiply(X1,X2)) = multiply(X1,add(multiplicative_identity,X2)),
inference(orient,[status(thm)],[t18]) ).
cnf(t193,plain,
multiply(X1,add(multiplicative_identity,X2)) = add(X1,multiply(X2,X1)),
inference(cp,[status(thm)],[t176,t15]) ).
cnf(t381,plain,
add(X1,multiply(X2,X1)) = multiply(X1,add(multiplicative_identity,X2)),
inference(orient,[status(thm)],[t193]) ).
cnf(t27,plain,
add(X1,multiply(additive_identity,X2)) = multiply(X1,add(X1,X2)),
inference(cp,[status(thm)],[t25,t14]) ).
cnf(t23,plain,
multiply(X1,add(inverse(X1),X2)) = add(additive_identity,multiply(X1,X2)),
inference(cp,[status(thm)],[t17,t22]) ).
cnf(t4180,plain,
multiply(X1,add(inverse(X1),X2)) = multiply(X1,X2),
inference(step,[status(thm)],[t23,t60]) ).
cnf(t1701,plain,
multiply(X1,add(inverse(X1),X2)) = multiply(X1,X2),
inference(orient,[status(thm)],[t4180]) ).
cnf(t1717,plain,
multiply(X1,additive_identity) = multiply(X1,inverse(X1)),
inference(cp,[status(thm)],[t1701,t14]) ).
cnf(t4181,plain,
multiply(X1,additive_identity) = additive_identity,
inference(step,[status(thm)],[t1717,t22]) ).
cnf(t1733,plain,
multiply(X1,additive_identity) = additive_identity,
inference(orient,[status(thm)],[t4181]) ).
cnf(t1734,plain,
additive_identity = multiply(additive_identity,X1),
inference(cp,[status(thm)],[t1733,t15]) ).
cnf(t1741,plain,
multiply(additive_identity,X1) = additive_identity,
inference(orient,[status(thm)],[t1734]) ).
cnf(t4317,plain,
add(X1,additive_identity) = multiply(X1,add(X1,X2)),
inference(step,[status(thm)],[t27,t1741]) ).
cnf(t4318,plain,
X1 = multiply(X1,add(X1,X2)),
inference(step,[status(thm)],[t4317,t14]) ).
cnf(t2813,plain,
multiply(X1,add(X1,X2)) = X1,
inference(orient,[status(thm)],[t4318]) ).
cnf(t16,plain,
multiply(multiplicative_identity,X1) = X1,
inference(cp,[status(thm)],[t15,t13]) ).
cnf(t57,plain,
multiply(multiplicative_identity,X1) = X1,
inference(orient,[status(thm)],[t16]) ).
cnf(t2826,plain,
multiplicative_identity = add(multiplicative_identity,X1),
inference(cp,[status(thm)],[t2813,t57]) ).
cnf(t2872,plain,
add(multiplicative_identity,X1) = multiplicative_identity,
inference(orient,[status(thm)],[t2826]) ).
cnf(t4341,plain,
add(X1,multiply(X2,X1)) = multiply(X1,multiplicative_identity),
inference(step,[status(thm)],[t381,t2872]) ).
cnf(t4342,plain,
add(X1,multiply(X2,X1)) = X1,
inference(step,[status(thm)],[t4341,t13]) ).
cnf(t2875,plain,
add(X1,multiply(X2,X1)) = X1,
inference(orient,[status(thm)],[t4342]) ).
cnf(t82,plain,
add(sFlat0,multiply(sFlat1,X1)) = multiply(sFlat2,add(sFlat0,X1)),
inference(cp,[status(thm)],[t25,t81]) ).
cnf(t285,plain,
add(sFlat0,multiply(sFlat1,X1)) = multiply(sFlat2,add(sFlat0,X1)),
inference(orient,[status(thm)],[t82]) ).
cnf(t56,plain,
additive_identity = multiply(b,sFlat1),
inference(cp,[status(thm)],[t22,t54]) ).
cnf(t3944,plain,
additive_identity = multiply(sFlat1,b),
inference(step,[status(thm)],[t56,t15]) ).
cnf(t78,plain,
multiply(sFlat1,b) = additive_identity,
inference(orient,[status(thm)],[t3944]) ).
cnf(t79,plain,
multiply(sFlat1,add(b,X1)) = add(additive_identity,multiply(sFlat1,X1)),
inference(cp,[status(thm)],[t17,t78]) ).
cnf(t3972,plain,
multiply(sFlat1,add(b,X1)) = multiply(sFlat1,X1),
inference(step,[status(thm)],[t79,t60]) ).
cnf(t166,plain,
multiply(sFlat1,add(b,X1)) = multiply(sFlat1,X1),
inference(orient,[status(thm)],[t3972]) ).
cnf(t167,plain,
multiply(sFlat1,additive_identity) = multiply(sFlat1,b),
inference(cp,[status(thm)],[t166,t14]) ).
cnf(t3973,plain,
multiply(sFlat1,additive_identity) = additive_identity,
inference(step,[status(thm)],[t167,t78]) ).
cnf(t172,plain,
multiply(sFlat1,additive_identity) = additive_identity,
inference(orient,[status(thm)],[t3973]) ).
cnf(t288,plain,
multiply(sFlat2,add(sFlat0,additive_identity)) = add(sFlat0,additive_identity),
inference(cp,[status(thm)],[t285,t172]) ).
cnf(t3992,plain,
multiply(sFlat2,sFlat0) = add(sFlat0,additive_identity),
inference(step,[status(thm)],[t288,t14]) ).
cnf(t3993,plain,
multiply(sFlat0,sFlat2) = add(sFlat0,additive_identity),
inference(step,[status(thm)],[t3992,t15]) ).
cnf(t3994,plain,
multiply(sFlat0,sFlat2) = sFlat0,
inference(step,[status(thm)],[t3993,t14]) ).
cnf(t301,plain,
multiply(sFlat0,sFlat2) = sFlat0,
inference(orient,[status(thm)],[t3994]) ).
cnf(t303,plain,
multiply(sFlat0,add(X1,sFlat2)) = add(multiply(sFlat0,X1),sFlat0),
inference(cp,[status(thm)],[t17,t301]) ).
cnf(t4261,plain,
multiply(sFlat0,add(X1,sFlat2)) = add(sFlat0,multiply(sFlat0,X1)),
inference(step,[status(thm)],[t303,t36]) ).
cnf(t4262,plain,
multiply(sFlat0,add(X1,sFlat2)) = multiply(sFlat0,add(multiplicative_identity,X1)),
inference(step,[status(thm)],[t4261,t176]) ).
cnf(t2,axiom,
add(X1,inverse(X1)) = multiplicative_identity,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t41,plain,
add(X1,inverse(X1)) = multiplicative_identity,
inference(orient,[status(thm)],[t2]) ).
cnf(t51,plain,
multiplicative_identity = add(a,sFlat0),
inference(cp,[status(thm)],[t41,t50]) ).
cnf(t3941,plain,
multiplicative_identity = add(sFlat0,a),
inference(step,[status(thm)],[t51,t36]) ).
cnf(t69,plain,
add(sFlat0,a) = multiplicative_identity,
inference(orient,[status(thm)],[t3941]) ).
cnf(t70,plain,
add(sFlat0,multiply(a,X1)) = multiply(multiplicative_identity,add(sFlat0,X1)),
inference(cp,[status(thm)],[t25,t69]) ).
cnf(t3957,plain,
add(sFlat0,multiply(a,X1)) = add(sFlat0,X1),
inference(step,[status(thm)],[t70,t57]) ).
cnf(t118,plain,
add(sFlat0,multiply(a,X1)) = add(sFlat0,X1),
inference(orient,[status(thm)],[t3957]) ).
cnf(t120,plain,
add(sFlat0,inverse(a)) = add(sFlat0,additive_identity),
inference(cp,[status(thm)],[t118,t22]) ).
cnf(t3959,plain,
add(sFlat0,sFlat0) = add(sFlat0,additive_identity),
inference(step,[status(thm)],[t120,t50]) ).
cnf(t3960,plain,
add(sFlat0,sFlat0) = sFlat0,
inference(step,[status(thm)],[t3959,t14]) ).
cnf(t125,plain,
add(sFlat0,sFlat0) = sFlat0,
inference(orient,[status(thm)],[t3960]) ).
cnf(t126,plain,
add(sFlat0,multiply(sFlat0,X1)) = multiply(sFlat0,add(sFlat0,X1)),
inference(cp,[status(thm)],[t25,t125]) ).
cnf(t4004,plain,
multiply(sFlat0,add(multiplicative_identity,X1)) = multiply(sFlat0,add(sFlat0,X1)),
inference(step,[status(thm)],[t126,t176]) ).
cnf(t334,plain,
multiply(sFlat0,add(multiplicative_identity,X1)) = multiply(sFlat0,add(sFlat0,X1)),
inference(orient,[status(thm)],[t4004]) ).
cnf(t4263,plain,
multiply(sFlat0,add(X1,sFlat2)) = multiply(sFlat0,add(sFlat0,X1)),
inference(step,[status(thm)],[t4262,t334]) ).
cnf(t2315,plain,
multiply(sFlat0,add(X1,sFlat2)) = multiply(sFlat0,add(sFlat0,X1)),
inference(orient,[status(thm)],[t4263]) ).
cnf(t4333,plain,
multiply(sFlat0,add(X1,sFlat2)) = sFlat0,
inference(step,[status(thm)],[t2315,t2813]) ).
cnf(t2864,plain,
multiply(sFlat0,add(X1,sFlat2)) = sFlat0,
inference(rw,[status(thm)],[t4333]) ).
cnf(t3002,plain,
multiply(sFlat0,add(X1,sFlat2)) = sFlat0,
inference(orient,[status(thm)],[t2864]) ).
cnf(t3009,plain,
add(X1,sFlat2) = add(add(X1,sFlat2),sFlat0),
inference(cp,[status(thm)],[t2875,t3002]) ).
cnf(t4391,plain,
add(X1,sFlat2) = add(sFlat0,add(X1,sFlat2)),
inference(step,[status(thm)],[t3009,t36]) ).
cnf(t3268,plain,
add(sFlat0,add(X1,sFlat2)) = add(X1,sFlat2),
inference(orient,[status(thm)],[t4391]) ).
cnf(t2860,plain,
add(sFlat0,add(a,X1)) = add(sFlat0,a),
inference(cp,[status(thm)],[t118,t2813]) ).
cnf(t4364,plain,
add(sFlat0,add(a,X1)) = multiplicative_identity,
inference(step,[status(thm)],[t2860,t69]) ).
cnf(t2978,plain,
add(sFlat0,add(a,X1)) = multiplicative_identity,
inference(orient,[status(thm)],[t4364]) ).
cnf(t3269,plain,
add(a,sFlat2) = multiplicative_identity,
inference(cp,[status(thm)],[t3268,t2978]) ).
cnf(t4392,plain,
add(sFlat2,a) = multiplicative_identity,
inference(step,[status(thm)],[t3269,t36]) ).
cnf(t3273,plain,
add(sFlat2,a) = multiplicative_identity,
inference(orient,[status(thm)],[t4392]) ).
cnf(t3275,plain,
add(sFlat2,multiply(X1,a)) = multiply(add(sFlat2,X1),multiplicative_identity),
inference(cp,[status(thm)],[t25,t3273]) ).
cnf(t4422,plain,
add(sFlat2,multiply(X1,a)) = add(sFlat2,X1),
inference(step,[status(thm)],[t3275,t13]) ).
cnf(t3892,plain,
add(sFlat2,multiply(X1,a)) = add(sFlat2,X1),
inference(orient,[status(thm)],[t4422]) ).
cnf(t3895,plain,
add(sFlat2,b) = add(sFlat2,sFlat3),
inference(cp,[status(thm)],[t3892,t33]) ).
cnf(t55,plain,
multiplicative_identity = add(b,sFlat1),
inference(cp,[status(thm)],[t41,t54]) ).
cnf(t3943,plain,
multiplicative_identity = add(sFlat1,b),
inference(step,[status(thm)],[t55,t36]) ).
cnf(t75,plain,
add(sFlat1,b) = multiplicative_identity,
inference(orient,[status(thm)],[t3943]) ).
cnf(t77,plain,
add(sFlat1,multiply(X1,b)) = multiply(add(sFlat1,X1),multiplicative_identity),
inference(cp,[status(thm)],[t25,t75]) ).
cnf(t3971,plain,
add(sFlat1,multiply(X1,b)) = add(sFlat1,X1),
inference(step,[status(thm)],[t77,t13]) ).
cnf(t163,plain,
add(sFlat1,multiply(X1,b)) = add(sFlat1,X1),
inference(orient,[status(thm)],[t3971]) ).
cnf(t504,plain,
multiply(b,add(sFlat1,X1)) = add(additive_identity,multiply(b,X1)),
inference(cp,[status(thm)],[t487,t78]) ).
cnf(t4052,plain,
multiply(b,add(sFlat1,X1)) = multiply(b,X1),
inference(step,[status(thm)],[t504,t60]) ).
cnf(t667,plain,
multiply(b,add(sFlat1,X1)) = multiply(b,X1),
inference(orient,[status(thm)],[t4052]) ).
cnf(t681,plain,
multiply(b,X1) = multiply(b,add(X1,sFlat1)),
inference(cp,[status(thm)],[t667,t36]) ).
cnf(t993,plain,
multiply(b,add(X1,sFlat1)) = multiply(b,X1),
inference(orient,[status(thm)],[t681]) ).
cnf(t994,plain,
multiply(b,sFlat0) = multiply(b,sFlat2),
inference(cp,[status(thm)],[t993,t81]) ).
cnf(t4096,plain,
multiply(sFlat0,b) = multiply(b,sFlat2),
inference(step,[status(thm)],[t994,t15]) ).
cnf(t4097,plain,
multiply(sFlat0,b) = multiply(sFlat2,b),
inference(step,[status(thm)],[t4096,t15]) ).
cnf(t1005,plain,
multiply(sFlat2,b) = multiply(sFlat0,b),
inference(orient,[status(thm)],[t4097]) ).
cnf(t1015,plain,
add(sFlat1,sFlat2) = add(sFlat1,multiply(sFlat0,b)),
inference(cp,[status(thm)],[t163,t1005]) ).
cnf(t4098,plain,
add(sFlat1,sFlat2) = add(sFlat1,sFlat0),
inference(step,[status(thm)],[t1015,t163]) ).
cnf(t4099,plain,
add(sFlat1,sFlat2) = add(sFlat0,sFlat1),
inference(step,[status(thm)],[t4098,t36]) ).
cnf(t4100,plain,
add(sFlat1,sFlat2) = sFlat2,
inference(step,[status(thm)],[t4099,t81]) ).
cnf(t1016,plain,
add(sFlat1,sFlat2) = sFlat2,
inference(orient,[status(thm)],[t4100]) ).
cnf(t1017,plain,
add(sFlat1,multiply(sFlat2,X1)) = multiply(sFlat2,add(sFlat1,X1)),
inference(cp,[status(thm)],[t25,t1016]) ).
cnf(t2790,plain,
add(sFlat1,multiply(sFlat2,X1)) = multiply(sFlat2,add(sFlat1,X1)),
inference(orient,[status(thm)],[t1017]) ).
cnf(t21,plain,
multiply(X1,add(X2,X3)) = add(multiply(X1,X2),multiply(X3,X1)),
inference(cp,[status(thm)],[t17,t15]) ).
cnf(t1033,plain,
add(multiply(X1,X2),multiply(X3,X1)) = multiply(X1,add(X2,X3)),
inference(orient,[status(thm)],[t21]) ).
cnf(t80,plain,
multiply(sFlat1,add(X1,b)) = add(multiply(sFlat1,X1),additive_identity),
inference(cp,[status(thm)],[t17,t78]) ).
cnf(t3977,plain,
multiply(sFlat1,add(X1,b)) = multiply(sFlat1,X1),
inference(step,[status(thm)],[t80,t14]) ).
cnf(t203,plain,
multiply(sFlat1,add(X1,b)) = multiply(sFlat1,X1),
inference(orient,[status(thm)],[t3977]) ).
cnf(t76,plain,
add(sFlat1,multiply(b,X1)) = multiply(multiplicative_identity,add(sFlat1,X1)),
inference(cp,[status(thm)],[t25,t75]) ).
cnf(t3967,plain,
add(sFlat1,multiply(b,X1)) = add(sFlat1,X1),
inference(step,[status(thm)],[t76,t57]) ).
cnf(t148,plain,
add(sFlat1,multiply(b,X1)) = add(sFlat1,X1),
inference(orient,[status(thm)],[t3967]) ).
cnf(t34,plain,
multiply(b,add(a,X1)) = add(sFlat3,multiply(b,X1)),
inference(cp,[status(thm)],[t17,t33]) ).
cnf(t251,plain,
add(sFlat3,multiply(b,X1)) = multiply(b,add(a,X1)),
inference(orient,[status(thm)],[t34]) ).
cnf(t253,plain,
multiply(b,add(a,a)) = add(sFlat3,sFlat3),
inference(cp,[status(thm)],[t251,t33]) ).
cnf(t48,plain,
multiplicative_identity = add(sFlat3,sFlat4),
inference(cp,[status(thm)],[t41,t47]) ).
cnf(t63,plain,
add(sFlat3,sFlat4) = multiplicative_identity,
inference(orient,[status(thm)],[t48]) ).
cnf(t65,plain,
add(sFlat3,multiply(X1,sFlat4)) = multiply(add(sFlat3,X1),multiplicative_identity),
inference(cp,[status(thm)],[t25,t63]) ).
cnf(t3950,plain,
add(sFlat3,multiply(X1,sFlat4)) = add(sFlat3,X1),
inference(step,[status(thm)],[t65,t13]) ).
cnf(t94,plain,
add(sFlat3,multiply(X1,sFlat4)) = add(sFlat3,X1),
inference(orient,[status(thm)],[t3950]) ).
cnf(t95,plain,
add(sFlat3,sFlat3) = add(sFlat3,additive_identity),
inference(cp,[status(thm)],[t94,t66]) ).
cnf(t3951,plain,
add(sFlat3,sFlat3) = sFlat3,
inference(step,[status(thm)],[t95,t14]) ).
cnf(t98,plain,
add(sFlat3,sFlat3) = sFlat3,
inference(orient,[status(thm)],[t3951]) ).
cnf(t3984,plain,
multiply(b,add(a,a)) = sFlat3,
inference(step,[status(thm)],[t253,t98]) ).
cnf(t261,plain,
multiply(b,add(a,a)) = sFlat3,
inference(orient,[status(thm)],[t3984]) ).
cnf(t266,plain,
add(sFlat1,add(a,a)) = add(sFlat1,sFlat3),
inference(cp,[status(thm)],[t148,t261]) ).
cnf(t279,plain,
add(sFlat1,add(a,a)) = add(sFlat1,sFlat3),
inference(orient,[status(thm)],[t266]) ).
cnf(t672,plain,
multiply(b,add(a,a)) = multiply(b,add(sFlat1,sFlat3)),
inference(cp,[status(thm)],[t667,t279]) ).
cnf(t4054,plain,
sFlat3 = multiply(b,add(sFlat1,sFlat3)),
inference(step,[status(thm)],[t672,t261]) ).
cnf(t4055,plain,
sFlat3 = multiply(b,sFlat3),
inference(step,[status(thm)],[t4054,t667]) ).
cnf(t4056,plain,
sFlat3 = multiply(sFlat3,b),
inference(step,[status(thm)],[t4055,t15]) ).
cnf(t692,plain,
multiply(sFlat3,b) = sFlat3,
inference(orient,[status(thm)],[t4056]) ).
cnf(t697,plain,
multiply(b,add(multiplicative_identity,sFlat3)) = add(b,sFlat3),
inference(cp,[status(thm)],[t381,t692]) ).
cnf(t4102,plain,
multiply(b,add(sFlat3,multiplicative_identity)) = add(b,sFlat3),
inference(step,[status(thm)],[t697,t36]) ).
cnf(t64,plain,
add(sFlat3,multiply(sFlat4,X1)) = multiply(multiplicative_identity,add(sFlat3,X1)),
inference(cp,[status(thm)],[t25,t63]) ).
cnf(t3947,plain,
add(sFlat3,multiply(sFlat4,X1)) = add(sFlat3,X1),
inference(step,[status(thm)],[t64,t57]) ).
cnf(t84,plain,
add(sFlat3,multiply(sFlat4,X1)) = add(sFlat3,X1),
inference(orient,[status(thm)],[t3947]) ).
cnf(t85,plain,
add(sFlat3,multiplicative_identity) = add(sFlat3,sFlat4),
inference(cp,[status(thm)],[t84,t13]) ).
cnf(t3948,plain,
add(sFlat3,multiplicative_identity) = multiplicative_identity,
inference(step,[status(thm)],[t85,t63]) ).
cnf(t90,plain,
add(sFlat3,multiplicative_identity) = multiplicative_identity,
inference(orient,[status(thm)],[t3948]) ).
cnf(t4103,plain,
multiply(b,multiplicative_identity) = add(b,sFlat3),
inference(step,[status(thm)],[t4102,t90]) ).
cnf(t4104,plain,
b = add(b,sFlat3),
inference(step,[status(thm)],[t4103,t13]) ).
cnf(t4105,plain,
b = add(sFlat3,b),
inference(step,[status(thm)],[t4104,t36]) ).
cnf(t1025,plain,
add(sFlat3,b) = b,
inference(orient,[status(thm)],[t4105]) ).
cnf(t1030,plain,
multiply(sFlat1,sFlat3) = multiply(sFlat1,b),
inference(cp,[status(thm)],[t203,t1025]) ).
cnf(t4110,plain,
multiply(sFlat1,sFlat3) = additive_identity,
inference(step,[status(thm)],[t1030,t78]) ).
cnf(t1184,plain,
multiply(sFlat1,sFlat3) = additive_identity,
inference(orient,[status(thm)],[t4110]) ).
cnf(t1188,plain,
multiply(sFlat3,add(X1,sFlat1)) = add(multiply(sFlat3,X1),additive_identity),
inference(cp,[status(thm)],[t1033,t1184]) ).
cnf(t4162,plain,
multiply(sFlat3,add(X1,sFlat1)) = multiply(sFlat3,X1),
inference(step,[status(thm)],[t1188,t14]) ).
cnf(t1564,plain,
multiply(sFlat3,add(X1,sFlat1)) = multiply(sFlat3,X1),
inference(orient,[status(thm)],[t4162]) ).
cnf(t1566,plain,
multiply(sFlat3,sFlat0) = multiply(sFlat3,sFlat2),
inference(cp,[status(thm)],[t1564,t81]) ).
cnf(t4163,plain,
multiply(sFlat0,sFlat3) = multiply(sFlat3,sFlat2),
inference(step,[status(thm)],[t1566,t15]) ).
cnf(t52,plain,
additive_identity = multiply(a,sFlat0),
inference(cp,[status(thm)],[t22,t50]) ).
cnf(t3942,plain,
additive_identity = multiply(sFlat0,a),
inference(step,[status(thm)],[t52,t15]) ).
cnf(t72,plain,
multiply(sFlat0,a) = additive_identity,
inference(orient,[status(thm)],[t3942]) ).
cnf(t74,plain,
multiply(sFlat0,add(X1,a)) = add(multiply(sFlat0,X1),additive_identity),
inference(cp,[status(thm)],[t17,t72]) ).
cnf(t3966,plain,
multiply(sFlat0,add(X1,a)) = multiply(sFlat0,X1),
inference(step,[status(thm)],[t74,t14]) ).
cnf(t145,plain,
multiply(sFlat0,add(X1,a)) = multiply(sFlat0,X1),
inference(orient,[status(thm)],[t3966]) ).
cnf(t512,plain,
multiply(a,add(sFlat0,X1)) = add(additive_identity,multiply(a,X1)),
inference(cp,[status(thm)],[t487,t72]) ).
cnf(t4068,plain,
multiply(a,add(sFlat0,X1)) = multiply(a,X1),
inference(step,[status(thm)],[t512,t60]) ).
cnf(t759,plain,
multiply(a,add(sFlat0,X1)) = multiply(a,X1),
inference(orient,[status(thm)],[t4068]) ).
cnf(t71,plain,
add(sFlat0,multiply(X1,a)) = multiply(add(sFlat0,X1),multiplicative_identity),
inference(cp,[status(thm)],[t25,t69]) ).
cnf(t3961,plain,
add(sFlat0,multiply(X1,a)) = add(sFlat0,X1),
inference(step,[status(thm)],[t71,t13]) ).
cnf(t128,plain,
add(sFlat0,multiply(X1,a)) = add(sFlat0,X1),
inference(orient,[status(thm)],[t3961]) ).
cnf(t129,plain,
add(sFlat0,b) = add(sFlat0,sFlat3),
inference(cp,[status(thm)],[t128,t33]) ).
cnf(t132,plain,
add(sFlat0,b) = add(sFlat0,sFlat3),
inference(orient,[status(thm)],[t129]) ).
cnf(t765,plain,
multiply(a,b) = multiply(a,add(sFlat0,sFlat3)),
inference(cp,[status(thm)],[t759,t132]) ).
cnf(t4070,plain,
multiply(b,a) = multiply(a,add(sFlat0,sFlat3)),
inference(step,[status(thm)],[t765,t15]) ).
cnf(t4071,plain,
sFlat3 = multiply(a,add(sFlat0,sFlat3)),
inference(step,[status(thm)],[t4070,t33]) ).
cnf(t4072,plain,
sFlat3 = multiply(a,sFlat3),
inference(step,[status(thm)],[t4071,t759]) ).
cnf(t4073,plain,
sFlat3 = multiply(sFlat3,a),
inference(step,[status(thm)],[t4072,t15]) ).
cnf(t791,plain,
multiply(sFlat3,a) = sFlat3,
inference(orient,[status(thm)],[t4073]) ).
cnf(t796,plain,
multiply(a,add(multiplicative_identity,sFlat3)) = add(a,sFlat3),
inference(cp,[status(thm)],[t381,t791]) ).
cnf(t4129,plain,
multiply(a,add(sFlat3,multiplicative_identity)) = add(a,sFlat3),
inference(step,[status(thm)],[t796,t36]) ).
cnf(t4130,plain,
multiply(a,multiplicative_identity) = add(a,sFlat3),
inference(step,[status(thm)],[t4129,t90]) ).
cnf(t4131,plain,
a = add(a,sFlat3),
inference(step,[status(thm)],[t4130,t13]) ).
cnf(t4132,plain,
a = add(sFlat3,a),
inference(step,[status(thm)],[t4131,t36]) ).
cnf(t1338,plain,
add(sFlat3,a) = a,
inference(orient,[status(thm)],[t4132]) ).
cnf(t1342,plain,
multiply(sFlat0,sFlat3) = multiply(sFlat0,a),
inference(cp,[status(thm)],[t145,t1338]) ).
cnf(t4135,plain,
multiply(sFlat0,sFlat3) = additive_identity,
inference(step,[status(thm)],[t1342,t72]) ).
cnf(t1345,plain,
multiply(sFlat0,sFlat3) = additive_identity,
inference(orient,[status(thm)],[t4135]) ).
cnf(t4164,plain,
additive_identity = multiply(sFlat3,sFlat2),
inference(step,[status(thm)],[t4163,t1345]) ).
cnf(t4165,plain,
additive_identity = multiply(sFlat2,sFlat3),
inference(step,[status(thm)],[t4164,t15]) ).
cnf(t1577,plain,
multiply(sFlat2,sFlat3) = additive_identity,
inference(orient,[status(thm)],[t4165]) ).
cnf(t2797,plain,
multiply(sFlat2,add(sFlat1,sFlat3)) = add(sFlat1,additive_identity),
inference(cp,[status(thm)],[t2790,t1577]) ).
cnf(t1579,plain,
multiply(sFlat2,add(X1,sFlat3)) = add(multiply(sFlat2,X1),additive_identity),
inference(cp,[status(thm)],[t17,t1577]) ).
cnf(t4202,plain,
multiply(sFlat2,add(X1,sFlat3)) = multiply(sFlat2,X1),
inference(step,[status(thm)],[t1579,t14]) ).
cnf(t1918,plain,
multiply(sFlat2,add(X1,sFlat3)) = multiply(sFlat2,X1),
inference(orient,[status(thm)],[t4202]) ).
cnf(t4334,plain,
multiply(sFlat2,sFlat1) = add(sFlat1,additive_identity),
inference(step,[status(thm)],[t2797,t1918]) ).
cnf(t4335,plain,
multiply(sFlat1,sFlat2) = add(sFlat1,additive_identity),
inference(step,[status(thm)],[t4334,t15]) ).
cnf(t4336,plain,
multiply(sFlat1,sFlat2) = sFlat1,
inference(step,[status(thm)],[t4335,t14]) ).
cnf(t2865,plain,
multiply(sFlat1,sFlat2) = sFlat1,
inference(orient,[status(thm)],[t4336]) ).
cnf(t2866,plain,
multiply(sFlat1,add(sFlat2,X1)) = add(sFlat1,multiply(sFlat1,X1)),
inference(cp,[status(thm)],[t17,t2865]) ).
cnf(t4337,plain,
add(X1,multiply(X1,X2)) = multiply(X1,multiplicative_identity),
inference(step,[status(thm)],[t176,t2872]) ).
cnf(t4338,plain,
add(X1,multiply(X1,X2)) = X1,
inference(step,[status(thm)],[t4337,t13]) ).
cnf(t2873,plain,
add(X1,multiply(X1,X2)) = X1,
inference(orient,[status(thm)],[t4338]) ).
cnf(t4366,plain,
multiply(sFlat1,add(sFlat2,X1)) = sFlat1,
inference(step,[status(thm)],[t2866,t2873]) ).
cnf(t3010,plain,
multiply(sFlat1,add(sFlat2,X1)) = sFlat1,
inference(orient,[status(thm)],[t4366]) ).
cnf(t3018,plain,
add(sFlat2,X1) = add(add(sFlat2,X1),sFlat1),
inference(cp,[status(thm)],[t2875,t3010]) ).
cnf(t4393,plain,
add(sFlat2,X1) = add(sFlat1,add(sFlat2,X1)),
inference(step,[status(thm)],[t3018,t36]) ).
cnf(t3276,plain,
add(sFlat1,add(sFlat2,X1)) = add(sFlat2,X1),
inference(orient,[status(thm)],[t4393]) ).
cnf(t2840,plain,
X1 = multiply(X1,add(X2,X1)),
inference(cp,[status(thm)],[t2813,t36]) ).
cnf(t2891,plain,
multiply(X1,add(X2,X1)) = X1,
inference(orient,[status(thm)],[t2840]) ).
cnf(t2941,plain,
add(sFlat1,add(X1,b)) = add(sFlat1,b),
inference(cp,[status(thm)],[t148,t2891]) ).
cnf(t4370,plain,
add(sFlat1,add(X1,b)) = multiplicative_identity,
inference(step,[status(thm)],[t2941,t75]) ).
cnf(t3047,plain,
add(sFlat1,add(X1,b)) = multiplicative_identity,
inference(orient,[status(thm)],[t4370]) ).
cnf(t3277,plain,
add(sFlat2,b) = multiplicative_identity,
inference(cp,[status(thm)],[t3276,t3047]) ).
cnf(t3282,plain,
add(sFlat2,b) = multiplicative_identity,
inference(orient,[status(thm)],[t3277]) ).
cnf(t4424,plain,
multiplicative_identity = add(sFlat2,sFlat3),
inference(step,[status(thm)],[t3895,t3282]) ).
cnf(t3905,plain,
add(sFlat2,sFlat3) = multiplicative_identity,
inference(orient,[status(thm)],[t4424]) ).
cnf(t3908,plain,
multiply(sFlat4,sFlat2) = multiply(sFlat4,multiplicative_identity),
inference(cp,[status(thm)],[t1434,t3905]) ).
cnf(t4425,plain,
multiply(sFlat2,sFlat4) = multiply(sFlat4,multiplicative_identity),
inference(step,[status(thm)],[t3908,t15]) ).
cnf(t1578,plain,
multiply(sFlat2,add(sFlat3,X1)) = add(additive_identity,multiply(sFlat2,X1)),
inference(cp,[status(thm)],[t17,t1577]) ).
cnf(t4198,plain,
multiply(sFlat2,add(sFlat3,X1)) = multiply(sFlat2,X1),
inference(step,[status(thm)],[t1578,t60]) ).
cnf(t1873,plain,
multiply(sFlat2,add(sFlat3,X1)) = multiply(sFlat2,X1),
inference(orient,[status(thm)],[t4198]) ).
cnf(t1878,plain,
multiply(sFlat2,sFlat4) = multiply(sFlat2,multiplicative_identity),
inference(cp,[status(thm)],[t1873,t63]) ).
cnf(t4199,plain,
multiply(sFlat2,sFlat4) = sFlat2,
inference(step,[status(thm)],[t1878,t13]) ).
cnf(t1893,plain,
multiply(sFlat2,sFlat4) = sFlat2,
inference(orient,[status(thm)],[t4199]) ).
cnf(t4426,plain,
sFlat2 = multiply(sFlat4,multiplicative_identity),
inference(step,[status(thm)],[t4425,t1893]) ).
cnf(t4427,plain,
sFlat2 = sFlat4,
inference(step,[status(thm)],[t4426,t13]) ).
cnf(t3912,plain,
sFlat4 = sFlat2,
inference(orient,[status(thm)],[t4427]) ).
cnf(t4428,plain,
inverse(sFlat3) = sFlat2,
inference(step,[status(thm)],[t47,t3912]) ).
cnf(t3913,plain,
inverse(sFlat3) = sFlat2,
inference(orient,[status(thm)],[t4428]) ).
cnf(goal_0,negated_conjecture,
add(inverse(a),inverse(b)) != inverse(multiply(a,b)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(g0_0,plain,
add(inverse(b),inverse(a)) != inverse(multiply(a,b)),
inference(rw,[status(thm)],[goal_0,t36]) ).
cnf(g0_1,plain,
add(sFlat1,inverse(a)) != inverse(multiply(a,b)),
inference(rw,[status(thm)],[g0_0,t54]) ).
cnf(g0_2,plain,
add(sFlat1,sFlat0) != inverse(multiply(a,b)),
inference(rw,[status(thm)],[g0_1,t50]) ).
cnf(g0_3,plain,
add(sFlat0,sFlat1) != inverse(multiply(a,b)),
inference(rw,[status(thm)],[g0_2,t36]) ).
cnf(g0_4,plain,
sFlat2 != inverse(multiply(a,b)),
inference(rw,[status(thm)],[g0_3,t81]) ).
cnf(g0_5,plain,
sFlat2 != inverse(multiply(b,a)),
inference(rw,[status(thm)],[g0_4,t15]) ).
cnf(g0_6,plain,
sFlat2 != inverse(sFlat3),
inference(rw,[status(thm)],[g0_5,t33]) ).
cnf(g0_7,plain,
sFlat2 != sFlat2,
inference(rw,[status(thm)],[g0_6,t3913]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : BOO015-4 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.05 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.16/0.42 % Computer : n005.cluster.edu
% 0.16/0.42 % Model : x86_64 x86_64
% 0.16/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.42 % Memory : 8046.5625MB
% 0.16/0.42 % OS : Linux 6.8.0-71-generic
% 0.16/0.42 % CPULimit : 300
% 0.16/0.42 % WCLimit : 300
% 0.16/0.42 % DateTime : Fri Sep 25 06:33:03 UTC 2026
% 0.16/0.43 % CPUTime :
% 0.16/0.43 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 9.82/2.15 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 9.82/2.15 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------