%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : BOO015-2 : TPTP v9.3.1. Bugfixed v1.0.1.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n018.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 : Thu Sep 24 12:06:22 PM UTC 2026
% Result : Unsatisfiable 9.66s 1.65s
% Output : CNFRefutation 9.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 36
% Number of leaves : 16
% Syntax : Number of formulae : 168 ( 168 unt; 1 def)
% Number of atoms : 168 ( 167 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 7 con; 0-2 aty)
% Number of variables : 178 ( 178 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X,Y] : add(X,Y) = add(Y,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X,Y] : multiply(X,Y) = multiply(Y,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X,Y,Z] : add(multiply(X,Y),Z) = multiply(add(X,Z),add(Y,Z)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X,Y,Z] : add(X,multiply(Y,Z)) = multiply(add(X,Y),add(X,Z)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [X,Y,Z] : multiply(add(X,Y),Z) = add(multiply(X,Z),multiply(Y,Z)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [X,Y,Z] : multiply(X,add(Y,Z)) = add(multiply(X,Y),multiply(X,Z)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [X] : add(X,inverse(X)) = multiplicative_identity,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [X] : multiply(X,inverse(X)) = additive_identity,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,axiom,
! [X] : multiply(X,multiplicative_identity) = X,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,axiom,
! [X] : multiply(multiplicative_identity,X) = X,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,axiom,
! [X] : add(X,additive_identity) = X,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,axiom,
! [X] : add(additive_identity,X) = X,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,hypothesis,
multiply(a,b) = c,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f16,hypothesis,
add(inverse(a),inverse(b)) = d,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f17,negated_conjecture,
inverse(c) != d,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f18,plain,
! [X0,X1] : add(X0,X1) = add(X1,X0),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f19,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X1,X0),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f20,plain,
! [X0,X1,X2] : add(multiply(X0,X1),X2) = multiply(add(X0,X2),add(X1,X2)),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f21,plain,
! [X0,X1,X2] : add(X0,multiply(X1,X2)) = multiply(add(X0,X1),add(X0,X2)),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f22,plain,
! [X0,X1,X2] : multiply(add(X0,X1),X2) = add(multiply(X0,X2),multiply(X1,X2)),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f23,plain,
! [X0,X1,X2] : multiply(X0,add(X1,X2)) = add(multiply(X0,X1),multiply(X0,X2)),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f24,plain,
! [X0] : add(X0,inverse(X0)) = multiplicative_identity,
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f26,plain,
! [X0] : multiply(X0,inverse(X0)) = additive_identity,
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f28,plain,
! [X0] : multiply(X0,multiplicative_identity) = X0,
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f29,plain,
! [X0] : multiply(multiplicative_identity,X0) = X0,
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f30,plain,
! [X0] : add(X0,additive_identity) = X0,
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f31,plain,
! [X0] : add(additive_identity,X0) = X0,
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f32,plain,
multiply(a,b) = c,
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f33,plain,
add(inverse(a),inverse(b)) = d,
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f34,plain,
inverse(c) != d,
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f35,definition,
sF0_fnc = inverse(c),
introduced(definition,[new_symbols(definition,[sF0_fnc])],[function_definition]) ).
fof(f36,plain,
sF0_fnc != d,
inference(definition_folding,[],[f34,f35]) ).
fof(f56,plain,
multiply(c,sF0_fnc) = additive_identity,
inference(paramodulation,[status(thm)],[f35,f26]) ).
fof(f61,plain,
add(c,sF0_fnc) = multiplicative_identity,
inference(paramodulation,[status(thm)],[f35,f24]) ).
fof(f79,plain,
! [X0] : add(multiply(c,X0),sF0_fnc) = multiply(multiplicative_identity,add(X0,sF0_fnc)),
inference(paramodulation,[status(thm)],[f61,f20]) ).
fof(f80,plain,
! [X0,X1] : add(multiply(additive_identity,X0),X1) = multiply(X1,add(X0,X1)),
inference(paramodulation,[status(thm)],[f31,f20]) ).
fof(f81,plain,
! [X0] : add(multiply(inverse(a),X0),inverse(b)) = multiply(d,add(X0,inverse(b))),
inference(paramodulation,[status(thm)],[f33,f20]) ).
fof(f82,plain,
! [X0,X1] : add(multiply(X0,X1),inverse(X0)) = multiply(multiplicative_identity,add(X1,inverse(X0))),
inference(paramodulation,[status(thm)],[f24,f20]) ).
fof(f87,plain,
! [X0,X1] : add(multiply(X0,additive_identity),X1) = multiply(add(X0,X1),X1),
inference(paramodulation,[status(thm)],[f31,f20]) ).
fof(f89,plain,
! [X0,X1] : add(multiply(X0,X1),inverse(X1)) = multiply(add(X0,inverse(X1)),multiplicative_identity),
inference(paramodulation,[status(thm)],[f24,f20]) ).
fof(f95,plain,
! [X0] : add(sF0_fnc,multiply(c,X0)) = multiply(multiplicative_identity,add(X0,sF0_fnc)),
inference(forward_demodulation,[status(thm)],[f18,f79]) ).
fof(f96,plain,
! [X0] : add(sF0_fnc,multiply(c,X0)) = add(X0,sF0_fnc),
inference(forward_demodulation,[status(thm)],[f29,f95]) ).
fof(f97,plain,
! [X0] : add(inverse(b),multiply(inverse(a),X0)) = multiply(d,add(X0,inverse(b))),
inference(forward_demodulation,[status(thm)],[f18,f81]) ).
fof(f98,plain,
! [X0,X1] : add(inverse(X0),multiply(X0,X1)) = multiply(multiplicative_identity,add(X1,inverse(X0))),
inference(forward_demodulation,[status(thm)],[f18,f82]) ).
fof(f99,plain,
! [X0,X1] : add(inverse(X0),multiply(X0,X1)) = add(X1,inverse(X0)),
inference(forward_demodulation,[status(thm)],[f29,f98]) ).
fof(f103,plain,
! [X0,X1] : add(multiply(X0,additive_identity),X1) = multiply(X1,add(X0,X1)),
inference(forward_demodulation,[status(thm)],[f19,f87]) ).
fof(f106,plain,
! [X0,X1] : add(inverse(X0),multiply(X1,X0)) = multiply(add(X1,inverse(X0)),multiplicative_identity),
inference(forward_demodulation,[status(thm)],[f18,f89]) ).
fof(f107,plain,
! [X0,X1] : add(inverse(X0),multiply(X1,X0)) = add(X1,inverse(X0)),
inference(forward_demodulation,[status(thm)],[f28,f106]) ).
fof(f177,plain,
! [X0] : add(multiply(additive_identity,additive_identity),X0) = multiply(X0,X0),
inference(paramodulation,[status(thm)],[f31,f80]) ).
fof(f260,plain,
! [X0] : add(X0,multiply(additive_identity,additive_identity)) = multiply(X0,X0),
inference(paramodulation,[status(thm)],[f18,f177]) ).
fof(f308,plain,
add(inverse(a),c) = add(b,inverse(a)),
inference(paramodulation,[status(thm)],[f32,f99]) ).
fof(f343,plain,
add(c,inverse(a)) = add(b,inverse(a)),
inference(forward_demodulation,[status(thm)],[f18,f308]) ).
fof(f428,plain,
! [X0] : add(inverse(inverse(X0)),additive_identity) = add(X0,inverse(inverse(X0))),
inference(paramodulation,[status(thm)],[f26,f107]) ).
fof(f457,plain,
! [X0] : inverse(inverse(X0)) = add(X0,inverse(inverse(X0))),
inference(forward_demodulation,[status(thm)],[f30,f428]) ).
fof(f527,plain,
! [X0,X1,X2] : add(X0,multiply(X1,X2)) = multiply(add(X0,X2),add(X0,X1)),
inference(paramodulation,[status(thm)],[f19,f21]) ).
fof(f545,plain,
! [X0] : add(inverse(a),multiply(inverse(b),X0)) = multiply(d,add(inverse(a),X0)),
inference(paramodulation,[status(thm)],[f33,f21]) ).
fof(f551,plain,
! [X0,X1] : add(X0,multiply(inverse(X0),X1)) = multiply(multiplicative_identity,add(X0,X1)),
inference(paramodulation,[status(thm)],[f24,f21]) ).
fof(f571,plain,
! [X0] : add(inverse(a),multiply(X0,inverse(b))) = multiply(add(inverse(a),X0),d),
inference(paramodulation,[status(thm)],[f33,f21]) ).
fof(f578,plain,
! [X0,X1] : add(X0,multiply(X1,additive_identity)) = multiply(add(X0,X1),X0),
inference(paramodulation,[status(thm)],[f30,f21]) ).
fof(f608,plain,
! [X0,X1] : add(X0,multiply(inverse(X0),X1)) = add(X0,X1),
inference(forward_demodulation,[status(thm)],[f29,f551]) ).
fof(f626,plain,
! [X0] : add(inverse(a),multiply(X0,inverse(b))) = multiply(d,add(inverse(a),X0)),
inference(forward_demodulation,[status(thm)],[f19,f571]) ).
fof(f634,plain,
! [X0,X1] : add(X0,multiply(X1,additive_identity)) = multiply(X0,add(X0,X1)),
inference(forward_demodulation,[status(thm)],[f19,f578]) ).
fof(f641,plain,
! [X0] : multiply(add(c,X0),sF0_fnc) = add(additive_identity,multiply(X0,sF0_fnc)),
inference(paramodulation,[status(thm)],[f56,f22]) ).
fof(f643,plain,
! [X0] : multiply(add(a,X0),b) = add(c,multiply(X0,b)),
inference(paramodulation,[status(thm)],[f32,f22]) ).
fof(f648,plain,
! [X0,X1] : multiply(add(X0,X1),X0) = add(add(multiply(additive_identity,additive_identity),X0),multiply(X1,X0)),
inference(paramodulation,[status(thm)],[f177,f22]) ).
fof(f654,plain,
! [X0] : multiply(add(X0,c),sF0_fnc) = add(multiply(X0,sF0_fnc),additive_identity),
inference(paramodulation,[status(thm)],[f56,f22]) ).
fof(f671,plain,
! [X0] : multiply(sF0_fnc,add(c,X0)) = add(additive_identity,multiply(X0,sF0_fnc)),
inference(forward_demodulation,[status(thm)],[f19,f641]) ).
fof(f672,plain,
! [X0] : multiply(sF0_fnc,add(c,X0)) = multiply(X0,sF0_fnc),
inference(forward_demodulation,[status(thm)],[f31,f671]) ).
fof(f674,plain,
! [X0] : multiply(b,add(a,X0)) = add(c,multiply(X0,b)),
inference(forward_demodulation,[status(thm)],[f19,f643]) ).
fof(f683,plain,
! [X0,X1] : multiply(X0,add(X0,X1)) = add(add(multiply(additive_identity,additive_identity),X0),multiply(X1,X0)),
inference(forward_demodulation,[status(thm)],[f19,f648]) ).
fof(f684,plain,
! [X0,X1] : add(X0,multiply(X1,additive_identity)) = add(add(multiply(additive_identity,additive_identity),X0),multiply(X1,X0)),
inference(forward_demodulation,[status(thm)],[f634,f683]) ).
fof(f686,plain,
! [X0] : multiply(sF0_fnc,add(X0,c)) = add(multiply(X0,sF0_fnc),additive_identity),
inference(forward_demodulation,[status(thm)],[f19,f654]) ).
fof(f687,plain,
! [X0] : multiply(sF0_fnc,add(X0,c)) = multiply(X0,sF0_fnc),
inference(forward_demodulation,[status(thm)],[f30,f686]) ).
fof(f712,plain,
! [X0,X1] : multiply(X0,add(inverse(X0),X1)) = add(additive_identity,multiply(X0,X1)),
inference(paramodulation,[status(thm)],[f26,f23]) ).
fof(f714,plain,
! [X0,X1] : multiply(X0,add(X0,X1)) = add(add(X0,multiply(additive_identity,additive_identity)),multiply(X0,X1)),
inference(paramodulation,[status(thm)],[f260,f23]) ).
fof(f725,plain,
! [X0,X1] : multiply(X0,add(X1,inverse(X0))) = add(multiply(X0,X1),additive_identity),
inference(paramodulation,[status(thm)],[f26,f23]) ).
fof(f741,plain,
! [X0,X1] : multiply(X0,add(inverse(X0),X1)) = multiply(X0,X1),
inference(forward_demodulation,[status(thm)],[f31,f712]) ).
fof(f744,plain,
! [X0,X1] : add(X0,multiply(X1,additive_identity)) = add(add(X0,multiply(additive_identity,additive_identity)),multiply(X0,X1)),
inference(forward_demodulation,[status(thm)],[f634,f714]) ).
fof(f752,plain,
! [X0,X1] : multiply(X0,add(X1,inverse(X0))) = multiply(X0,X1),
inference(forward_demodulation,[status(thm)],[f30,f725]) ).
fof(f810,plain,
multiply(sF0_fnc,c) = multiply(additive_identity,sF0_fnc),
inference(paramodulation,[status(thm)],[f31,f687]) ).
fof(f820,plain,
multiply(c,sF0_fnc) = multiply(additive_identity,sF0_fnc),
inference(forward_demodulation,[status(thm)],[f19,f810]) ).
fof(f823,plain,
additive_identity = multiply(additive_identity,sF0_fnc),
inference(forward_demodulation,[status(thm)],[f56,f820]) ).
fof(f834,plain,
! [X0] : multiply(additive_identity,add(X0,sF0_fnc)) = add(multiply(additive_identity,X0),additive_identity),
inference(paramodulation,[status(thm)],[f823,f23]) ).
fof(f842,plain,
! [X0] : multiply(additive_identity,add(X0,sF0_fnc)) = multiply(additive_identity,X0),
inference(forward_demodulation,[status(thm)],[f30,f834]) ).
fof(f1068,plain,
multiply(additive_identity,sF0_fnc) = multiply(additive_identity,additive_identity),
inference(paramodulation,[status(thm)],[f31,f842]) ).
fof(f1091,plain,
! [X0,X1] : add(X0,multiply(X1,additive_identity)) = add(add(X0,additive_identity),multiply(X0,X1)),
inference(backward_demodulation,[status(thm)],[f1112,f744]) ).
fof(f1094,plain,
! [X0,X1] : add(X0,multiply(X1,additive_identity)) = add(add(additive_identity,X0),multiply(X1,X0)),
inference(backward_demodulation,[status(thm)],[f1112,f684]) ).
fof(f1112,plain,
additive_identity = multiply(additive_identity,additive_identity),
inference(forward_demodulation,[status(thm)],[f823,f1068]) ).
fof(f1146,plain,
! [X0,X1] : add(X0,multiply(X1,additive_identity)) = add(X0,multiply(X0,X1)),
inference(forward_demodulation,[status(thm)],[f30,f1091]) ).
fof(f1154,plain,
! [X0,X1] : add(X0,multiply(X1,additive_identity)) = add(X0,multiply(X1,X0)),
inference(forward_demodulation,[status(thm)],[f31,f1094]) ).
fof(f1377,plain,
multiply(a,add(b,inverse(a))) = multiply(a,c),
inference(paramodulation,[status(thm)],[f343,f752]) ).
fof(f1378,plain,
! [X0] : multiply(X0,inverse(X0)) = multiply(X0,additive_identity),
inference(paramodulation,[status(thm)],[f31,f752]) ).
fof(f1410,plain,
multiply(a,b) = multiply(a,c),
inference(forward_demodulation,[status(thm)],[f752,f1377]) ).
fof(f1411,plain,
c = multiply(a,c),
inference(forward_demodulation,[status(thm)],[f32,f1410]) ).
fof(f1413,plain,
! [X0,X1] : add(X0,additive_identity) = add(X0,multiply(X1,X0)),
inference(backward_demodulation,[status(thm)],[f1426,f1154]) ).
fof(f1414,plain,
! [X0,X1] : add(X0,additive_identity) = add(X0,multiply(X0,X1)),
inference(backward_demodulation,[status(thm)],[f1426,f1146]) ).
fof(f1419,plain,
! [X0,X1] : add(X0,additive_identity) = multiply(X0,add(X0,X1)),
inference(backward_demodulation,[status(thm)],[f1426,f634]) ).
fof(f1425,plain,
! [X0,X1] : add(additive_identity,X0) = multiply(X0,add(X1,X0)),
inference(backward_demodulation,[status(thm)],[f1426,f103]) ).
fof(f1426,plain,
! [X0] : additive_identity = multiply(X0,additive_identity),
inference(forward_demodulation,[status(thm)],[f26,f1378]) ).
fof(f1463,plain,
! [X0,X1] : X0 = add(X0,multiply(X1,X0)),
inference(forward_demodulation,[status(thm)],[f30,f1413]) ).
fof(f1473,plain,
! [X0,X1] : X0 = add(X0,multiply(X0,X1)),
inference(forward_demodulation,[status(thm)],[f30,f1414]) ).
fof(f1478,plain,
! [X0,X1] : X0 = multiply(X0,add(X0,X1)),
inference(forward_demodulation,[status(thm)],[f30,f1419]) ).
fof(f1550,plain,
! [X0,X1] : X0 = multiply(X0,add(X1,X0)),
inference(forward_demodulation,[status(thm)],[f31,f1425]) ).
fof(f1635,plain,
add(inverse(a),additive_identity) = multiply(d,add(inverse(a),additive_identity)),
inference(paramodulation,[status(thm)],[f1426,f545]) ).
fof(f1636,plain,
add(inverse(b),additive_identity) = multiply(d,add(additive_identity,inverse(b))),
inference(paramodulation,[status(thm)],[f1426,f97]) ).
fof(f1648,plain,
inverse(a) = multiply(d,add(inverse(a),additive_identity)),
inference(forward_demodulation,[status(thm)],[f30,f1635]) ).
fof(f1649,plain,
inverse(a) = multiply(d,inverse(a)),
inference(forward_demodulation,[status(thm)],[f30,f1648]) ).
fof(f1650,plain,
inverse(b) = multiply(d,add(additive_identity,inverse(b))),
inference(forward_demodulation,[status(thm)],[f30,f1636]) ).
fof(f1651,plain,
inverse(b) = multiply(d,inverse(b)),
inference(forward_demodulation,[status(thm)],[f31,f1650]) ).
fof(f2092,plain,
! [X0,X1] : add(X0,X1) = add(add(X0,X1),X1),
inference(paramodulation,[status(thm)],[f1550,f1463]) ).
fof(f2121,plain,
! [X0,X1] : add(X0,X1) = add(X1,add(X0,X1)),
inference(forward_demodulation,[status(thm)],[f18,f2092]) ).
fof(f3638,plain,
! [X0,X1] : add(X0,X1) = add(X1,add(X1,X0)),
inference(paramodulation,[status(thm)],[f18,f2121]) ).
fof(f4104,plain,
! [X0,X1,X2] : multiply(add(X0,X1),add(X0,X2)) = add(X0,multiply(X1,add(X0,X2))),
inference(paramodulation,[status(thm)],[f1478,f22]) ).
fof(f4139,plain,
! [X0,X1,X2] : add(X0,multiply(X1,X2)) = add(X0,multiply(X1,add(X0,X2))),
inference(forward_demodulation,[status(thm)],[f21,f4104]) ).
fof(f4875,plain,
! [X0] : add(multiply(inverse(b),X0),inverse(a)) = add(inverse(a),multiply(d,add(inverse(a),X0))),
inference(paramodulation,[status(thm)],[f545,f3638]) ).
fof(f4986,plain,
! [X0] : add(inverse(a),multiply(inverse(b),X0)) = add(inverse(a),multiply(d,add(inverse(a),X0))),
inference(forward_demodulation,[status(thm)],[f18,f4875]) ).
fof(f4987,plain,
! [X0] : multiply(d,add(inverse(a),X0)) = add(inverse(a),multiply(d,add(inverse(a),X0))),
inference(forward_demodulation,[status(thm)],[f545,f4986]) ).
fof(f4988,plain,
! [X0] : add(inverse(a),multiply(X0,inverse(b))) = add(inverse(a),multiply(d,X0)),
inference(backward_demodulation,[status(thm)],[f5023,f626]) ).
fof(f5023,plain,
! [X0] : multiply(d,add(inverse(a),X0)) = add(inverse(a),multiply(d,X0)),
inference(forward_demodulation,[status(thm)],[f4139,f4987]) ).
fof(f6017,plain,
! [X0,X1,X2] : add(X0,multiply(X1,X2)) = add(X0,multiply(X2,X1)),
inference(paramodulation,[status(thm)],[f21,f527]) ).
fof(f6367,plain,
! [X0,X1] : add(X0,inverse(X0)) = add(X0,add(X1,inverse(X0))),
inference(paramodulation,[status(thm)],[f1550,f608]) ).
fof(f6369,plain,
! [X0] : add(X0,additive_identity) = add(X0,inverse(inverse(X0))),
inference(paramodulation,[status(thm)],[f26,f608]) ).
fof(f6438,plain,
! [X0,X1] : multiplicative_identity = add(X0,add(X1,inverse(X0))),
inference(forward_demodulation,[status(thm)],[f24,f6367]) ).
fof(f6440,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(backward_demodulation,[status(thm)],[f6441,f457]) ).
fof(f6441,plain,
! [X0] : X0 = add(X0,inverse(inverse(X0))),
inference(forward_demodulation,[status(thm)],[f30,f6369]) ).
fof(f9299,plain,
! [X0,X1] : multiply(X0,inverse(X0)) = multiply(X0,multiply(inverse(X0),X1)),
inference(paramodulation,[status(thm)],[f1473,f741]) ).
fof(f9300,plain,
! [X0,X1] : multiply(X0,inverse(X0)) = multiply(X0,multiply(X1,inverse(X0))),
inference(paramodulation,[status(thm)],[f1463,f741]) ).
fof(f9408,plain,
! [X0,X1] : additive_identity = multiply(X0,multiply(inverse(X0),X1)),
inference(forward_demodulation,[status(thm)],[f26,f9299]) ).
fof(f9409,plain,
! [X0,X1] : additive_identity = multiply(X0,multiply(X1,inverse(X0))),
inference(forward_demodulation,[status(thm)],[f26,f9300]) ).
fof(f9489,plain,
! [X0,X1] : additive_identity = multiply(inverse(X0),multiply(X1,X0)),
inference(paramodulation,[status(thm)],[f6440,f9409]) ).
fof(f9599,plain,
! [X0,X1] : additive_identity = multiply(inverse(X0),multiply(X0,X1)),
inference(paramodulation,[status(thm)],[f6440,f9408]) ).
fof(f9725,plain,
additive_identity = multiply(inverse(b),c),
inference(paramodulation,[status(thm)],[f32,f9489]) ).
fof(f9790,plain,
additive_identity = multiply(c,inverse(b)),
inference(forward_demodulation,[status(thm)],[f19,f9725]) ).
fof(f9836,plain,
add(sF0_fnc,additive_identity) = add(inverse(b),sF0_fnc),
inference(paramodulation,[status(thm)],[f9790,f96]) ).
fof(f9862,plain,
sF0_fnc = add(inverse(b),sF0_fnc),
inference(forward_demodulation,[status(thm)],[f30,f9836]) ).
fof(f9863,plain,
sF0_fnc = add(sF0_fnc,inverse(b)),
inference(forward_demodulation,[status(thm)],[f18,f9862]) ).
fof(f9913,plain,
inverse(b) = multiply(inverse(b),sF0_fnc),
inference(paramodulation,[status(thm)],[f9863,f1550]) ).
fof(f9945,plain,
inverse(b) = multiply(sF0_fnc,inverse(b)),
inference(forward_demodulation,[status(thm)],[f19,f9913]) ).
fof(f9965,plain,
additive_identity = multiply(inverse(d),inverse(b)),
inference(paramodulation,[status(thm)],[f1651,f9599]) ).
fof(f9966,plain,
additive_identity = multiply(inverse(d),inverse(a)),
inference(paramodulation,[status(thm)],[f1649,f9599]) ).
fof(f9997,plain,
additive_identity = multiply(inverse(a),c),
inference(paramodulation,[status(thm)],[f1411,f9599]) ).
fof(f10048,plain,
additive_identity = multiply(inverse(b),inverse(d)),
inference(forward_demodulation,[status(thm)],[f19,f9965]) ).
fof(f10049,plain,
additive_identity = multiply(inverse(a),inverse(d)),
inference(forward_demodulation,[status(thm)],[f19,f9966]) ).
fof(f10062,plain,
additive_identity = multiply(c,inverse(a)),
inference(forward_demodulation,[status(thm)],[f19,f9997]) ).
fof(f10103,plain,
add(sF0_fnc,additive_identity) = add(inverse(a),sF0_fnc),
inference(paramodulation,[status(thm)],[f10062,f96]) ).
fof(f10131,plain,
sF0_fnc = add(inverse(a),sF0_fnc),
inference(forward_demodulation,[status(thm)],[f30,f10103]) ).
fof(f10132,plain,
sF0_fnc = add(sF0_fnc,inverse(a)),
inference(forward_demodulation,[status(thm)],[f18,f10131]) ).
fof(f12262,plain,
add(b,additive_identity) = add(b,inverse(d)),
inference(paramodulation,[status(thm)],[f10048,f608]) ).
fof(f12290,plain,
b = add(b,inverse(d)),
inference(forward_demodulation,[status(thm)],[f30,f12262]) ).
fof(f12353,plain,
inverse(d) = multiply(inverse(d),b),
inference(paramodulation,[status(thm)],[f12290,f1550]) ).
fof(f12392,plain,
inverse(d) = multiply(b,inverse(d)),
inference(forward_demodulation,[status(thm)],[f19,f12353]) ).
fof(f12403,plain,
add(a,additive_identity) = add(a,inverse(d)),
inference(paramodulation,[status(thm)],[f10049,f608]) ).
fof(f12434,plain,
a = add(a,inverse(d)),
inference(forward_demodulation,[status(thm)],[f30,f12403]) ).
fof(f12471,plain,
multiply(b,a) = add(c,multiply(inverse(d),b)),
inference(paramodulation,[status(thm)],[f12434,f674]) ).
fof(f12503,plain,
multiply(a,b) = add(c,multiply(inverse(d),b)),
inference(forward_demodulation,[status(thm)],[f19,f12471]) ).
fof(f12504,plain,
c = add(c,multiply(inverse(d),b)),
inference(forward_demodulation,[status(thm)],[f32,f12503]) ).
fof(f12505,plain,
c = add(c,multiply(b,inverse(d))),
inference(forward_demodulation,[status(thm)],[f6017,f12504]) ).
fof(f12506,plain,
c = add(c,inverse(d)),
inference(forward_demodulation,[status(thm)],[f12392,f12505]) ).
fof(f12554,plain,
add(inverse(a),inverse(b)) = add(inverse(a),multiply(d,sF0_fnc)),
inference(paramodulation,[status(thm)],[f9945,f4988]) ).
fof(f12607,plain,
d = add(inverse(a),multiply(d,sF0_fnc)),
inference(forward_demodulation,[status(thm)],[f33,f12554]) ).
fof(f12655,plain,
multiplicative_identity = add(d,c),
inference(paramodulation,[status(thm)],[f12506,f6438]) ).
fof(f12690,plain,
multiplicative_identity = add(c,d),
inference(forward_demodulation,[status(thm)],[f18,f12655]) ).
fof(f12730,plain,
multiply(sF0_fnc,multiplicative_identity) = multiply(d,sF0_fnc),
inference(paramodulation,[status(thm)],[f12690,f672]) ).
fof(f12759,plain,
d = add(inverse(a),sF0_fnc),
inference(backward_demodulation,[status(thm)],[f12760,f12607]) ).
fof(f12760,plain,
sF0_fnc = multiply(d,sF0_fnc),
inference(forward_demodulation,[status(thm)],[f28,f12730]) ).
fof(f12810,plain,
sF0_fnc = d,
inference(backward_demodulation,[status(thm)],[f12811,f10132]) ).
fof(f12811,plain,
d = add(sF0_fnc,inverse(a)),
inference(forward_demodulation,[status(thm)],[f18,f12759]) ).
fof(f12814,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f12810,f36]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : BOO015-2 : TPTP v9.3.1. Bugfixed v1.0.1.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n018.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 21 13:50:16 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.14/0.37 % Drodi V4.1.1
% 9.66/1.65 % Refutation found
% 9.66/1.65 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 9.66/1.65 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 1.42/1.71 % Elapsed time: 1.330677 seconds
% 1.42/1.71 % CPU time: 10.387133 seconds
% 1.42/1.71 % Total memory used: 166.340 MB
% 1.42/1.71 % Net memory used: 162.930 MB
%------------------------------------------------------------------------------