%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : GRP475-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n006.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 12:34:28 PM UTC 2026
% Result : Unsatisfiable 154.04s 20.05s
% Output : CNFRefutation 73.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 35
% Number of leaves : 7
% Syntax : Number of formulae : 136 ( 136 unt; 4 def)
% Number of atoms : 136 ( 135 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 11 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 228 ( 228 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B,C,D] : divide(inverse(divide(divide(divide(A,B),C),divide(D,C))),divide(B,A)) = D,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [A,B] : multiply(A,B) = divide(A,inverse(B)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,negated_conjecture,
multiply(inverse(a1),a1) != multiply(inverse(b1),b1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,plain,
! [X0,X1,X2,X3] : divide(inverse(divide(divide(divide(X0,X1),X2),divide(X3,X2))),divide(X1,X0)) = X3,
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f5,plain,
! [X0,X1] : multiply(X0,X1) = divide(X0,inverse(X1)),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f6,plain,
multiply(inverse(a1),a1) != multiply(inverse(b1),b1),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f7,definition,
sF1_fnc = inverse(a1),
introduced(definition,[new_symbols(definition,[sF1_fnc])],[function_definition]) ).
fof(f8,definition,
sF0_fnc = multiply(sF1_fnc,a1),
introduced(definition,[new_symbols(definition,[sF0_fnc])],[function_definition]) ).
fof(f9,definition,
sF3_fnc = inverse(b1),
introduced(definition,[new_symbols(definition,[sF3_fnc])],[function_definition]) ).
fof(f10,definition,
sF2_fnc = multiply(sF3_fnc,b1),
introduced(definition,[new_symbols(definition,[sF2_fnc])],[function_definition]) ).
fof(f11,plain,
sF0_fnc != sF2_fnc,
inference(definition_folding,[],[f6,f10,f9,f8,f7]) ).
fof(f12,plain,
! [X0] : multiply(X0,b1) = divide(X0,sF3_fnc),
inference(paramodulation,[status(thm)],[f9,f5]) ).
fof(f13,plain,
! [X0] : multiply(X0,a1) = divide(X0,sF1_fnc),
inference(paramodulation,[status(thm)],[f7,f5]) ).
fof(f14,plain,
! [X0,X1,X2,X3] : divide(inverse(divide(multiply(divide(X0,X1),X2),divide(X3,inverse(X2)))),divide(X1,X0)) = X3,
inference(paramodulation,[status(thm)],[f5,f4]) ).
fof(f15,plain,
! [X0,X1,X2,X3,X4,X5] : divide(inverse(divide(divide(X0,X1),divide(X2,X1))),divide(divide(X3,X4),inverse(divide(divide(divide(X4,X3),X5),divide(X0,X5))))) = X2,
inference(paramodulation,[status(thm)],[f4,f4]) ).
fof(f17,plain,
! [X0,X1,X2,X3,X4,X5] : divide(inverse(divide(divide(divide(X0,X1),divide(X2,X3)),X4)),divide(X1,X0)) = inverse(divide(divide(divide(X3,X2),X5),divide(X4,X5))),
inference(paramodulation,[status(thm)],[f4,f4]) ).
fof(f21,plain,
! [X0,X1,X2,X3] : divide(inverse(divide(multiply(divide(X0,X1),X2),multiply(X3,X2))),divide(X1,X0)) = X3,
inference(forward_demodulation,[status(thm)],[f5,f14]) ).
fof(f22,plain,
! [X0,X1,X2,X3,X4,X5] : divide(inverse(divide(divide(X0,X1),divide(X2,X1))),multiply(divide(X3,X4),divide(divide(divide(X4,X3),X5),divide(X0,X5)))) = X2,
inference(forward_demodulation,[status(thm)],[f5,f15]) ).
fof(f25,plain,
sF2_fnc = divide(sF3_fnc,sF3_fnc),
inference(backward_demodulation,[status(thm)],[f12,f10]) ).
fof(f26,plain,
! [X0,X1] : divide(inverse(divide(divide(divide(sF3_fnc,sF3_fnc),X0),divide(X1,X0))),sF2_fnc) = X1,
inference(paramodulation,[status(thm)],[f25,f4]) ).
fof(f29,plain,
! [X0,X1] : divide(inverse(divide(divide(sF2_fnc,X0),divide(X1,X0))),sF2_fnc) = X1,
inference(forward_demodulation,[status(thm)],[f25,f26]) ).
fof(f31,plain,
sF0_fnc = divide(sF1_fnc,sF1_fnc),
inference(backward_demodulation,[status(thm)],[f13,f8]) ).
fof(f32,plain,
! [X0,X1] : divide(inverse(divide(divide(divide(sF1_fnc,sF1_fnc),X0),divide(X1,X0))),sF0_fnc) = X1,
inference(paramodulation,[status(thm)],[f31,f4]) ).
fof(f35,plain,
! [X0,X1] : divide(inverse(divide(divide(sF0_fnc,X0),divide(X1,X0))),sF0_fnc) = X1,
inference(forward_demodulation,[status(thm)],[f31,f32]) ).
fof(f37,plain,
! [X0,X1] : divide(inverse(divide(multiply(sF2_fnc,X0),divide(X1,inverse(X0)))),sF2_fnc) = X1,
inference(paramodulation,[status(thm)],[f5,f29]) ).
fof(f40,plain,
! [X0,X1] : divide(inverse(divide(divide(sF2_fnc,sF2_fnc),X0)),sF2_fnc) = inverse(divide(divide(sF2_fnc,X1),divide(X0,X1))),
inference(paramodulation,[status(thm)],[f29,f29]) ).
fof(f45,plain,
! [X0,X1,X2,X3] : divide(inverse(divide(divide(X0,X1),divide(X2,X1))),divide(sF2_fnc,inverse(divide(divide(sF2_fnc,X3),divide(X0,X3))))) = X2,
inference(paramodulation,[status(thm)],[f29,f4]) ).
fof(f46,plain,
! [X0,X1] : divide(inverse(divide(multiply(sF2_fnc,X0),multiply(X1,X0))),sF2_fnc) = X1,
inference(forward_demodulation,[status(thm)],[f5,f37]) ).
fof(f49,plain,
! [X0,X1,X2,X3] : divide(inverse(divide(divide(X0,X1),divide(X2,X1))),multiply(sF2_fnc,divide(divide(sF2_fnc,X3),divide(X0,X3)))) = X2,
inference(forward_demodulation,[status(thm)],[f5,f45]) ).
fof(f58,plain,
! [X0,X1] : divide(inverse(divide(multiply(sF0_fnc,X0),multiply(X1,X0))),divide(sF1_fnc,sF1_fnc)) = X1,
inference(paramodulation,[status(thm)],[f31,f21]) ).
fof(f62,plain,
! [X0,X1,X2,X3] : divide(inverse(divide(multiply(X0,X1),multiply(X2,X1))),divide(sF2_fnc,inverse(divide(divide(sF2_fnc,X3),divide(X0,X3))))) = X2,
inference(paramodulation,[status(thm)],[f29,f21]) ).
fof(f71,plain,
! [X0,X1,X2,X3] : divide(inverse(divide(multiply(divide(sF2_fnc,inverse(divide(divide(sF2_fnc,X0),divide(X1,X0)))),X2),multiply(X3,X2))),X1) = X3,
inference(paramodulation,[status(thm)],[f29,f21]) ).
fof(f80,plain,
! [X0,X1] : divide(inverse(divide(multiply(sF0_fnc,X0),multiply(X1,X0))),sF0_fnc) = X1,
inference(forward_demodulation,[status(thm)],[f31,f58]) ).
fof(f84,plain,
! [X0,X1,X2,X3] : divide(inverse(divide(multiply(X0,X1),multiply(X2,X1))),multiply(sF2_fnc,divide(divide(sF2_fnc,X3),divide(X0,X3)))) = X2,
inference(forward_demodulation,[status(thm)],[f5,f62]) ).
fof(f92,plain,
! [X0,X1,X2,X3] : divide(inverse(divide(multiply(multiply(sF2_fnc,divide(divide(sF2_fnc,X0),divide(X1,X0))),X2),multiply(X3,X2))),X1) = X3,
inference(forward_demodulation,[status(thm)],[f5,f71]) ).
fof(f164,plain,
! [X0,X1,X2,X3] : divide(inverse(divide(divide(X0,X1),divide(X2,X1))),multiply(sF0_fnc,divide(divide(divide(sF1_fnc,sF1_fnc),X3),divide(X0,X3)))) = X2,
inference(paramodulation,[status(thm)],[f31,f22]) ).
fof(f206,plain,
! [X0,X1,X2,X3] : divide(inverse(divide(divide(X0,X1),divide(X2,X1))),multiply(sF0_fnc,divide(divide(sF0_fnc,X3),divide(X0,X3)))) = X2,
inference(forward_demodulation,[status(thm)],[f31,f164]) ).
fof(f254,plain,
! [X0,X1,X2,X3] : divide(inverse(divide(divide(divide(X0,X1),sF0_fnc),X2)),divide(X1,X0)) = inverse(divide(divide(sF0_fnc,X3),divide(X2,X3))),
inference(paramodulation,[status(thm)],[f35,f4]) ).
fof(f535,plain,
! [X0,X1,X2,X3,X4] : divide(inverse(divide(divide(divide(X0,X1),divide(X2,X3)),X4)),divide(X1,X0)) = inverse(divide(divide(divide(X3,X2),a1),divide(X4,a1))),
inference(equality_split,[status(thm)],[f17]) ).
fof(f536,plain,
! [X0,X1,X2,X3] : inverse(divide(divide(divide(X0,X1),X2),divide(X3,X2))) = inverse(divide(divide(divide(X0,X1),a1),divide(X3,a1))),
inference(equality_split,[status(thm)],[f17]) ).
fof(f537,plain,
! [X0,X1,X2] : X0 = inverse(divide(divide(divide(X1,X2),a1),divide(divide(X0,divide(X2,X1)),a1))),
inference(paramodulation,[status(thm)],[f4,f535]) ).
fof(f619,plain,
! [X0,X1,X2,X3] : inverse(divide(divide(X0,X1),divide(X2,X1))) = inverse(divide(divide(divide(inverse(divide(multiply(sF0_fnc,X3),multiply(X0,X3))),sF0_fnc),a1),divide(X2,a1))),
inference(paramodulation,[status(thm)],[f80,f536]) ).
fof(f739,plain,
! [X0,X1,X2] : inverse(divide(divide(X0,X1),divide(X2,X1))) = inverse(divide(divide(X0,a1),divide(X2,a1))),
inference(forward_demodulation,[status(thm)],[f80,f619]) ).
fof(f1442,plain,
! [X0] : X0 = inverse(divide(divide(sF0_fnc,a1),divide(divide(X0,divide(sF1_fnc,sF1_fnc)),a1))),
inference(paramodulation,[status(thm)],[f31,f537]) ).
fof(f1512,plain,
! [X0] : X0 = inverse(divide(divide(sF0_fnc,a1),divide(divide(X0,sF0_fnc),a1))),
inference(forward_demodulation,[status(thm)],[f31,f1442]) ).
fof(f1663,plain,
! [X0,X1,X2,X3] : divide(X0,multiply(divide(X1,X2),divide(divide(divide(X2,X1),X3),divide(sF0_fnc,X3)))) = divide(X0,sF0_fnc),
inference(paramodulation,[status(thm)],[f1512,f22]) ).
fof(f1792,plain,
! [X0,X1] : X0 = inverse(divide(divide(sF2_fnc,X1),divide(divide(X0,sF2_fnc),X1))),
inference(paramodulation,[status(thm)],[f29,f40]) ).
fof(f1851,plain,
! [X0] : divide(divide(inverse(divide(divide(sF2_fnc,sF2_fnc),X0)),sF2_fnc),sF2_fnc) = X0,
inference(paramodulation,[status(thm)],[f40,f29]) ).
fof(f1922,plain,
! [X0,X1] : X0 = inverse(divide(multiply(sF2_fnc,X1),divide(divide(X0,sF2_fnc),inverse(X1)))),
inference(paramodulation,[status(thm)],[f5,f1792]) ).
fof(f1943,plain,
! [X0,X1] : X0 = inverse(divide(multiply(sF2_fnc,X1),multiply(divide(X0,sF2_fnc),X1))),
inference(forward_demodulation,[status(thm)],[f5,f1922]) ).
fof(f1980,plain,
! [X0] : divide(divide(inverse(multiply(divide(sF2_fnc,sF2_fnc),X0)),sF2_fnc),sF2_fnc) = inverse(X0),
inference(paramodulation,[status(thm)],[f5,f1851]) ).
fof(f3387,plain,
! [X0,X1] : inverse(divide(divide(sF0_fnc,X0),divide(divide(X1,sF0_fnc),X0))) = X1,
inference(paramodulation,[status(thm)],[f1512,f739]) ).
fof(f3388,plain,
! [X0,X1,X2,X3] : inverse(divide(divide(divide(X0,X1),X2),divide(divide(X3,divide(X1,X0)),X2))) = X3,
inference(paramodulation,[status(thm)],[f537,f739]) ).
fof(f3593,plain,
! [X0,X1] : divide(X0,multiply(sF2_fnc,divide(divide(sF2_fnc,X1),divide(sF2_fnc,X1)))) = divide(X0,sF2_fnc),
inference(paramodulation,[status(thm)],[f1792,f49]) ).
fof(f3595,plain,
! [X0,X1] : divide(X0,multiply(sF2_fnc,divide(divide(sF2_fnc,X1),divide(sF0_fnc,X1)))) = divide(X0,sF0_fnc),
inference(paramodulation,[status(thm)],[f3387,f49]) ).
fof(f3893,plain,
! [X0,X1] : inverse(divide(X0,divide(divide(X1,divide(sF2_fnc,inverse(divide(divide(sF2_fnc,sF2_fnc),X0)))),sF2_fnc))) = X1,
inference(paramodulation,[status(thm)],[f1851,f3388]) ).
fof(f3983,plain,
! [X0,X1,X2,X3] : inverse(divide(divide(divide(inverse(X0),X1),X2),divide(divide(X3,multiply(X1,X0)),X2))) = X3,
inference(paramodulation,[status(thm)],[f5,f3388]) ).
fof(f4004,plain,
! [X0,X1] : inverse(divide(X0,divide(divide(X1,multiply(sF2_fnc,divide(divide(sF2_fnc,sF2_fnc),X0))),sF2_fnc))) = X1,
inference(forward_demodulation,[status(thm)],[f5,f3893]) ).
fof(f4790,plain,
! [X0] : divide(divide(inverse(divide(divide(sF2_fnc,sF2_fnc),sF2_fnc)),sF2_fnc),sF2_fnc) = multiply(sF2_fnc,divide(divide(sF2_fnc,X0),divide(sF2_fnc,X0))),
inference(paramodulation,[status(thm)],[f3593,f1851]) ).
fof(f4884,plain,
! [X0] : sF2_fnc = multiply(sF2_fnc,divide(divide(sF2_fnc,X0),divide(sF2_fnc,X0))),
inference(forward_demodulation,[status(thm)],[f1851,f4790]) ).
fof(f4924,plain,
! [X0] : sF2_fnc = multiply(sF2_fnc,divide(multiply(sF2_fnc,X0),divide(sF2_fnc,inverse(X0)))),
inference(paramodulation,[status(thm)],[f5,f4884]) ).
fof(f4945,plain,
! [X0] : divide(inverse(divide(multiply(sF2_fnc,divide(divide(sF2_fnc,X0),divide(sF2_fnc,X0))),sF2_fnc)),sF2_fnc) = sF2_fnc,
inference(paramodulation,[status(thm)],[f4884,f46]) ).
fof(f4947,plain,
! [X0] : sF2_fnc = multiply(sF2_fnc,divide(multiply(sF2_fnc,X0),multiply(sF2_fnc,X0))),
inference(forward_demodulation,[status(thm)],[f5,f4924]) ).
fof(f4957,plain,
divide(inverse(divide(sF2_fnc,sF2_fnc)),sF2_fnc) = sF2_fnc,
inference(forward_demodulation,[status(thm)],[f4884,f4945]) ).
fof(f4968,plain,
! [X0] : inverse(divide(sF2_fnc,sF2_fnc)) = inverse(divide(multiply(sF2_fnc,X0),multiply(sF2_fnc,X0))),
inference(paramodulation,[status(thm)],[f4957,f1943]) ).
fof(f6289,plain,
! [X0] : divide(divide(inverse(divide(divide(sF2_fnc,sF2_fnc),sF0_fnc)),sF2_fnc),sF2_fnc) = multiply(sF2_fnc,divide(divide(sF2_fnc,X0),divide(sF0_fnc,X0))),
inference(paramodulation,[status(thm)],[f3595,f1851]) ).
fof(f6397,plain,
! [X0] : sF0_fnc = multiply(sF2_fnc,divide(divide(sF2_fnc,X0),divide(sF0_fnc,X0))),
inference(forward_demodulation,[status(thm)],[f1851,f6289]) ).
fof(f6443,plain,
! [X0] : inverse(divide(sF2_fnc,sF2_fnc)) = inverse(divide(multiply(sF2_fnc,divide(divide(sF2_fnc,X0),divide(sF0_fnc,X0))),sF0_fnc)),
inference(paramodulation,[status(thm)],[f6397,f4968]) ).
fof(f6445,plain,
! [X0] : sF2_fnc = multiply(sF2_fnc,divide(multiply(sF2_fnc,divide(divide(sF2_fnc,X0),divide(sF0_fnc,X0))),sF0_fnc)),
inference(paramodulation,[status(thm)],[f6397,f4947]) ).
fof(f6470,plain,
! [X0] : divide(inverse(divide(multiply(sF2_fnc,divide(divide(sF2_fnc,X0),divide(sF0_fnc,X0))),sF0_fnc)),sF2_fnc) = sF2_fnc,
inference(paramodulation,[status(thm)],[f6397,f46]) ).
fof(f6474,plain,
inverse(divide(sF2_fnc,sF2_fnc)) = inverse(divide(sF0_fnc,sF0_fnc)),
inference(forward_demodulation,[status(thm)],[f6397,f6443]) ).
fof(f6476,plain,
sF2_fnc = multiply(sF2_fnc,divide(sF0_fnc,sF0_fnc)),
inference(forward_demodulation,[status(thm)],[f6397,f6445]) ).
fof(f6487,plain,
divide(inverse(divide(sF0_fnc,sF0_fnc)),sF2_fnc) = sF2_fnc,
inference(forward_demodulation,[status(thm)],[f6397,f6470]) ).
fof(f6494,plain,
! [X0] : divide(inverse(divide(sF2_fnc,multiply(X0,divide(sF0_fnc,sF0_fnc)))),sF2_fnc) = X0,
inference(paramodulation,[status(thm)],[f6476,f46]) ).
fof(f6536,plain,
! [X0] : multiply(X0,divide(sF2_fnc,sF2_fnc)) = divide(X0,inverse(divide(sF0_fnc,sF0_fnc))),
inference(paramodulation,[status(thm)],[f6474,f5]) ).
fof(f6537,plain,
! [X0] : multiply(X0,divide(sF2_fnc,sF2_fnc)) = multiply(X0,divide(sF0_fnc,sF0_fnc)),
inference(forward_demodulation,[status(thm)],[f5,f6536]) ).
fof(f9025,plain,
! [X0,X1,X2,X3,X4] : inverse(divide(divide(divide(inverse(divide(divide(sF2_fnc,X0),divide(X1,X0))),sF2_fnc),X2),divide(X3,X2))) = inverse(divide(multiply(X1,X4),multiply(X3,X4))),
inference(paramodulation,[status(thm)],[f84,f3983]) ).
fof(f9085,plain,
! [X0,X1,X2,X3] : inverse(divide(divide(X0,X1),divide(X2,X1))) = inverse(divide(multiply(X0,X3),multiply(X2,X3))),
inference(forward_demodulation,[status(thm)],[f29,f9025]) ).
fof(f13300,plain,
! [X0,X1,X2] : inverse(divide(divide(X0,X1),divide(X2,X1))) = inverse(divide(divide(X0,a1),divide(X2,a1))),
inference(equality_split,[status(thm)],[f9085]) ).
fof(f18605,plain,
! [X0,X1,X2] : divide(inverse(divide(divide(X0,a1),divide(X1,a1))),multiply(sF0_fnc,divide(divide(sF0_fnc,X2),divide(X0,X2)))) = X1,
inference(forward_demodulation,[status(thm)],[f13300,f206]) ).
fof(f18611,plain,
! [X0,X1] : divide(X0,multiply(sF0_fnc,divide(divide(sF0_fnc,X1),divide(sF2_fnc,X1)))) = divide(X0,sF2_fnc),
inference(paramodulation,[status(thm)],[f1792,f18605]) ).
fof(f18612,plain,
! [X0,X1] : divide(X0,multiply(sF0_fnc,divide(divide(sF0_fnc,X1),divide(sF0_fnc,X1)))) = divide(X0,sF0_fnc),
inference(paramodulation,[status(thm)],[f3387,f18605]) ).
fof(f19024,plain,
! [X0] : divide(divide(inverse(divide(divide(sF2_fnc,sF2_fnc),sF2_fnc)),sF2_fnc),sF2_fnc) = multiply(sF0_fnc,divide(divide(sF0_fnc,X0),divide(sF2_fnc,X0))),
inference(paramodulation,[status(thm)],[f18611,f1851]) ).
fof(f19235,plain,
! [X0] : sF2_fnc = multiply(sF0_fnc,divide(divide(sF0_fnc,X0),divide(sF2_fnc,X0))),
inference(forward_demodulation,[status(thm)],[f1851,f19024]) ).
fof(f19383,plain,
! [X0] : sF2_fnc = multiply(sF0_fnc,divide(multiply(sF0_fnc,X0),divide(sF2_fnc,inverse(X0)))),
inference(paramodulation,[status(thm)],[f5,f19235]) ).
fof(f19416,plain,
! [X0] : divide(inverse(divide(multiply(sF0_fnc,divide(divide(sF0_fnc,X0),divide(sF2_fnc,X0))),sF2_fnc)),sF0_fnc) = sF0_fnc,
inference(paramodulation,[status(thm)],[f19235,f80]) ).
fof(f19418,plain,
! [X0] : sF2_fnc = multiply(sF0_fnc,divide(multiply(sF0_fnc,X0),multiply(sF2_fnc,X0))),
inference(forward_demodulation,[status(thm)],[f5,f19383]) ).
fof(f19441,plain,
divide(inverse(divide(sF2_fnc,sF2_fnc)),sF0_fnc) = sF0_fnc,
inference(forward_demodulation,[status(thm)],[f19235,f19416]) ).
fof(f19442,plain,
divide(inverse(divide(sF0_fnc,sF0_fnc)),sF0_fnc) = sF0_fnc,
inference(forward_demodulation,[status(thm)],[f6474,f19441]) ).
fof(f19457,plain,
sF2_fnc = multiply(sF0_fnc,divide(multiply(sF0_fnc,divide(sF0_fnc,sF0_fnc)),sF2_fnc)),
inference(paramodulation,[status(thm)],[f6476,f19418]) ).
fof(f19895,plain,
! [X0] : divide(divide(inverse(divide(divide(sF2_fnc,sF2_fnc),sF0_fnc)),sF2_fnc),sF2_fnc) = multiply(sF0_fnc,divide(divide(sF0_fnc,X0),divide(sF0_fnc,X0))),
inference(paramodulation,[status(thm)],[f18612,f1851]) ).
fof(f20108,plain,
! [X0] : sF0_fnc = multiply(sF0_fnc,divide(divide(sF0_fnc,X0),divide(sF0_fnc,X0))),
inference(forward_demodulation,[status(thm)],[f1851,f19895]) ).
fof(f20249,plain,
! [X0] : sF0_fnc = multiply(sF0_fnc,divide(multiply(sF0_fnc,X0),divide(sF0_fnc,inverse(X0)))),
inference(paramodulation,[status(thm)],[f5,f20108]) ).
fof(f20285,plain,
! [X0] : sF0_fnc = multiply(sF0_fnc,divide(multiply(sF0_fnc,X0),multiply(sF0_fnc,X0))),
inference(forward_demodulation,[status(thm)],[f5,f20249]) ).
fof(f20309,plain,
sF0_fnc = multiply(sF0_fnc,divide(sF2_fnc,multiply(sF0_fnc,divide(multiply(sF0_fnc,divide(sF0_fnc,sF0_fnc)),sF2_fnc)))),
inference(paramodulation,[status(thm)],[f19457,f20285]) ).
fof(f20376,plain,
sF0_fnc = multiply(sF0_fnc,divide(sF2_fnc,sF2_fnc)),
inference(forward_demodulation,[status(thm)],[f19457,f20309]) ).
fof(f20377,plain,
sF0_fnc = multiply(sF0_fnc,divide(sF0_fnc,sF0_fnc)),
inference(forward_demodulation,[status(thm)],[f6537,f20376]) ).
fof(f20448,plain,
divide(inverse(divide(sF2_fnc,sF0_fnc)),sF2_fnc) = sF0_fnc,
inference(paramodulation,[status(thm)],[f20377,f6494]) ).
fof(f24073,plain,
divide(inverse(divide(divide(sF2_fnc,sF2_fnc),sF0_fnc)),sF2_fnc) = inverse(divide(sF2_fnc,sF0_fnc)),
inference(paramodulation,[status(thm)],[f20448,f29]) ).
fof(f54169,plain,
! [X0,X1,X2] : divide(inverse(divide(divide(divide(X0,X1),sF0_fnc),X2)),divide(X1,X0)) = inverse(divide(divide(sF0_fnc,a1),divide(X2,a1))),
inference(forward_demodulation,[status(thm)],[f13300,f254]) ).
fof(f64680,plain,
! [X0,X1,X2] : divide(divide(inverse(divide(divide(sF2_fnc,sF2_fnc),sF0_fnc)),sF2_fnc),sF2_fnc) = multiply(divide(X0,X1),divide(divide(divide(X1,X0),X2),divide(sF0_fnc,X2))),
inference(paramodulation,[status(thm)],[f1663,f1851]) ).
fof(f65324,plain,
! [X0,X1,X2] : sF0_fnc = multiply(divide(X0,X1),divide(divide(divide(X1,X0),X2),divide(sF0_fnc,X2))),
inference(forward_demodulation,[status(thm)],[f1851,f64680]) ).
fof(f66676,plain,
! [X0,X1,X2] : sF0_fnc = multiply(multiply(X0,X1),divide(divide(divide(inverse(X1),X0),X2),divide(sF0_fnc,X2))),
inference(paramodulation,[status(thm)],[f5,f65324]) ).
fof(f66788,plain,
! [X0,X1,X2] : sF0_fnc = multiply(divide(inverse(X0),X1),divide(divide(multiply(X1,X0),X2),divide(sF0_fnc,X2))),
inference(paramodulation,[status(thm)],[f5,f65324]) ).
fof(f68042,plain,
! [X0,X1,X2,X3] : divide(inverse(divide(sF0_fnc,multiply(X0,divide(divide(divide(inverse(divide(divide(sF2_fnc,X1),divide(X2,X1))),sF2_fnc),X3),divide(sF0_fnc,X3))))),X2) = X0,
inference(paramodulation,[status(thm)],[f66676,f92]) ).
fof(f68180,plain,
! [X0,X1,X2] : divide(inverse(divide(sF0_fnc,multiply(X0,divide(divide(X1,X2),divide(sF0_fnc,X2))))),X1) = X0,
inference(forward_demodulation,[status(thm)],[f29,f68042]) ).
fof(f70693,plain,
! [X0,X1] : divide(inverse(divide(sF0_fnc,sF0_fnc)),multiply(X0,X1)) = divide(inverse(X1),X0),
inference(paramodulation,[status(thm)],[f66788,f68180]) ).
fof(f72881,plain,
! [X0] : inverse(divide(X0,divide(divide(inverse(divide(divide(sF2_fnc,sF2_fnc),X0)),sF2_fnc),sF2_fnc))) = inverse(divide(sF0_fnc,sF0_fnc)),
inference(paramodulation,[status(thm)],[f70693,f4004]) ).
fof(f73149,plain,
! [X0] : inverse(divide(X0,X0)) = inverse(divide(sF0_fnc,sF0_fnc)),
inference(forward_demodulation,[status(thm)],[f1851,f72881]) ).
fof(f73348,plain,
inverse(sF0_fnc) = inverse(divide(sF0_fnc,sF0_fnc)),
inference(paramodulation,[status(thm)],[f31,f73149]) ).
fof(f73349,plain,
inverse(sF2_fnc) = inverse(divide(sF0_fnc,sF0_fnc)),
inference(paramodulation,[status(thm)],[f25,f73149]) ).
fof(f73622,plain,
! [X0] : inverse(divide(X0,X0)) = inverse(sF0_fnc),
inference(backward_demodulation,[status(thm)],[f73348,f73149]) ).
fof(f73624,plain,
divide(inverse(sF0_fnc),sF0_fnc) = sF0_fnc,
inference(backward_demodulation,[status(thm)],[f73348,f19442]) ).
fof(f73626,plain,
divide(inverse(sF0_fnc),sF2_fnc) = sF2_fnc,
inference(backward_demodulation,[status(thm)],[f73348,f6487]) ).
fof(f73670,plain,
inverse(sF2_fnc) = inverse(sF0_fnc),
inference(forward_demodulation,[status(thm)],[f73348,f73349]) ).
fof(f73979,plain,
! [X0,X1] : divide(inverse(sF0_fnc),divide(X0,X1)) = inverse(divide(divide(sF0_fnc,a1),divide(divide(divide(X1,X0),sF0_fnc),a1))),
inference(paramodulation,[status(thm)],[f73622,f54169]) ).
fof(f74071,plain,
! [X0,X1] : divide(inverse(sF0_fnc),divide(X0,X1)) = divide(X1,X0),
inference(forward_demodulation,[status(thm)],[f3387,f73979]) ).
fof(f76483,plain,
! [X0,X1] : divide(inverse(sF0_fnc),divide(X0,X1)) = divide(divide(X1,X0),inverse(sF0_fnc)),
inference(paramodulation,[status(thm)],[f74071,f74071]) ).
fof(f76832,plain,
! [X0,X1] : divide(X0,X1) = divide(divide(X0,X1),inverse(sF0_fnc)),
inference(forward_demodulation,[status(thm)],[f74071,f76483]) ).
fof(f76833,plain,
! [X0,X1] : divide(X0,X1) = multiply(divide(X0,X1),sF0_fnc),
inference(forward_demodulation,[status(thm)],[f5,f76832]) ).
fof(f77332,plain,
! [X0] : divide(divide(inverse(divide(divide(sF2_fnc,sF2_fnc),X0)),sF2_fnc),sF2_fnc) = multiply(X0,sF0_fnc),
inference(paramodulation,[status(thm)],[f1851,f76833]) ).
fof(f77437,plain,
divide(divide(inverse(divide(sF2_fnc,sF2_fnc)),sF2_fnc),sF2_fnc) = inverse(sF0_fnc),
inference(paramodulation,[status(thm)],[f76833,f1980]) ).
fof(f77500,plain,
! [X0] : X0 = multiply(X0,sF0_fnc),
inference(forward_demodulation,[status(thm)],[f1851,f77332]) ).
fof(f77605,plain,
divide(divide(inverse(sF0_fnc),sF2_fnc),sF2_fnc) = inverse(sF0_fnc),
inference(forward_demodulation,[status(thm)],[f73622,f77437]) ).
fof(f77606,plain,
divide(sF2_fnc,sF2_fnc) = inverse(sF0_fnc),
inference(forward_demodulation,[status(thm)],[f73626,f77605]) ).
fof(f92298,plain,
divide(inverse(divide(inverse(sF0_fnc),sF0_fnc)),sF2_fnc) = inverse(divide(sF2_fnc,sF0_fnc)),
inference(backward_demodulation,[status(thm)],[f77606,f24073]) ).
fof(f92558,plain,
divide(inverse(sF0_fnc),sF2_fnc) = inverse(divide(sF2_fnc,sF0_fnc)),
inference(forward_demodulation,[status(thm)],[f73624,f92298]) ).
fof(f92559,plain,
sF2_fnc = inverse(divide(sF2_fnc,sF0_fnc)),
inference(forward_demodulation,[status(thm)],[f73626,f92558]) ).
fof(f93037,plain,
divide(sF2_fnc,sF2_fnc) = sF0_fnc,
inference(backward_demodulation,[status(thm)],[f92559,f20448]) ).
fof(f93085,plain,
sF0_fnc = inverse(sF0_fnc),
inference(backward_demodulation,[status(thm)],[f93037,f77606]) ).
fof(f93562,plain,
inverse(sF2_fnc) = sF0_fnc,
inference(backward_demodulation,[status(thm)],[f93085,f73670]) ).
fof(f93599,plain,
! [X0] : multiply(X0,sF0_fnc) = divide(X0,sF0_fnc),
inference(paramodulation,[status(thm)],[f93085,f5]) ).
fof(f93649,plain,
! [X0] : X0 = divide(X0,sF0_fnc),
inference(forward_demodulation,[status(thm)],[f77500,f93599]) ).
fof(f94440,plain,
sF2_fnc = inverse(sF2_fnc),
inference(backward_demodulation,[status(thm)],[f93649,f92559]) ).
fof(f94860,plain,
sF2_fnc = sF0_fnc,
inference(forward_demodulation,[status(thm)],[f93562,f94440]) ).
fof(f94861,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f94860,f11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP475-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.36 % Computer : n006.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Sun Sep 20 20:13:59 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.11/0.37 % Drodi V4.1.1
% 154.04/20.05 % Refutation found
% 154.04/20.05 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 154.04/20.05 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 14.97/20.25 % Elapsed time: 19.862109 seconds
% 14.97/20.25 % CPU time: 157.136065 seconds
% 14.97/20.25 % Total memory used: 1.268 GB
% 14.97/20.25 % Net memory used: 1.248 GB
%------------------------------------------------------------------------------