%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : GRP707-1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n013.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 12:35:11 PM UTC 2026
% Result : Unsatisfiable 1.25s 0.64s
% Output : CNFRefutation 1.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 10
% Syntax : Number of formulae : 144 ( 144 unt; 0 def)
% Number of atoms : 144 ( 143 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 283 ( 283 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B] : mult(A,ld(A,B)) = B,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [A,B] : ld(A,mult(A,B)) = B,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [A,B] : mult(rd(A,B),B) = A,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [A,B] : rd(mult(A,B),B) = A,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [A] : mult(A,unit) = A,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [A] : mult(unit,A) = A,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [A,B,C] : mult(A,mult(B,mult(B,C))) = mult(mult(mult(A,B),B),C),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [A] : mult(A,mult(A,mult(A,A))) = unit,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [A,B] : mult(mult(A,A),B) = mult(B,mult(A,A)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,negated_conjecture,
mult(mult(a,b),a) != mult(a,mult(b,a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,plain,
! [X0,X1] : mult(X0,ld(X0,X1)) = X1,
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f12,plain,
! [X0,X1] : ld(X0,mult(X0,X1)) = X1,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f13,plain,
! [X0,X1] : mult(rd(X0,X1),X1) = X0,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f14,plain,
! [X0,X1] : rd(mult(X0,X1),X1) = X0,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f15,plain,
! [X0] : mult(X0,unit) = X0,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f16,plain,
! [X0] : mult(unit,X0) = X0,
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f17,plain,
! [X0,X1,X2] : mult(X0,mult(X1,mult(X1,X2))) = mult(mult(mult(X0,X1),X1),X2),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f18,plain,
! [X0] : mult(X0,mult(X0,mult(X0,X0))) = unit,
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f19,plain,
! [X0,X1] : mult(mult(X0,X0),X1) = mult(X1,mult(X0,X0)),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f20,plain,
mult(mult(a,b),a) != mult(a,mult(b,a)),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f26,plain,
! [X0,X1,X2] : mult(mult(X0,X1),mult(X1,mult(X1,X2))) = mult(mult(X0,mult(X1,mult(X1,X1))),X2),
inference(paramodulation,[status(thm)],[f17,f17]) ).
fof(f27,plain,
! [X0,X1,X2,X3] : mult(mult(mult(X0,X1),X1),mult(X2,mult(X2,X3))) = mult(mult(mult(X0,mult(X1,mult(X1,X2))),X2),X3),
inference(paramodulation,[status(thm)],[f17,f17]) ).
fof(f28,plain,
! [X0,X1,X2,X3] : mult(X0,mult(X1,mult(X1,mult(X2,mult(X2,X3))))) = mult(mult(mult(X0,mult(X1,mult(X1,X2))),X2),X3),
inference(forward_demodulation,[status(thm)],[f17,f27]) ).
fof(f266,plain,
! [X0,X1] : mult(unit,mult(X0,mult(X0,X1))) = mult(mult(X0,X0),X1),
inference(paramodulation,[status(thm)],[f16,f17]) ).
fof(f295,plain,
! [X0,X1] : mult(X0,mult(X0,X1)) = mult(X1,mult(X0,X0)),
inference(backward_demodulation,[status(thm)],[f310,f19]) ).
fof(f310,plain,
! [X0,X1] : mult(X0,mult(X0,X1)) = mult(mult(X0,X0),X1),
inference(forward_demodulation,[status(thm)],[f16,f266]) ).
fof(f335,plain,
! [X0,X1] : mult(X0,mult(X1,mult(X1,unit))) = mult(mult(X0,X1),X1),
inference(paramodulation,[status(thm)],[f17,f15]) ).
fof(f336,plain,
! [X0,X1] : mult(mult(X0,X1),mult(X1,mult(X1,unit))) = mult(X0,mult(X1,mult(X1,X1))),
inference(paramodulation,[status(thm)],[f26,f15]) ).
fof(f341,plain,
! [X0,X1,X2] : mult(X0,mult(X1,mult(X1,mult(unit,mult(unit,X2))))) = mult(mult(X0,mult(X1,mult(X1,unit))),X2),
inference(paramodulation,[status(thm)],[f15,f28]) ).
fof(f360,plain,
! [X0,X1] : mult(X0,mult(X1,X1)) = mult(mult(X0,X1),X1),
inference(forward_demodulation,[status(thm)],[f15,f335]) ).
fof(f361,plain,
! [X0,X1] : mult(mult(X0,X1),mult(X1,X1)) = mult(X0,mult(X1,mult(X1,X1))),
inference(forward_demodulation,[status(thm)],[f15,f336]) ).
fof(f364,plain,
! [X0,X1,X2] : mult(X0,mult(X1,mult(X1,mult(unit,X2)))) = mult(mult(X0,mult(X1,mult(X1,unit))),X2),
inference(forward_demodulation,[status(thm)],[f16,f341]) ).
fof(f365,plain,
! [X0,X1,X2] : mult(X0,mult(X1,mult(X1,X2))) = mult(mult(X0,mult(X1,mult(X1,unit))),X2),
inference(forward_demodulation,[status(thm)],[f16,f364]) ).
fof(f368,plain,
! [X0,X1,X2] : mult(X0,mult(X1,mult(X1,X2))) = mult(mult(X0,mult(X1,X1)),X2),
inference(forward_demodulation,[status(thm)],[f15,f365]) ).
fof(f400,plain,
! [X0] : rd(X0,unit) = X0,
inference(paramodulation,[status(thm)],[f15,f13]) ).
fof(f403,plain,
! [X0,X1] : ld(rd(X0,X1),X0) = X1,
inference(paramodulation,[status(thm)],[f13,f12]) ).
fof(f405,plain,
! [X0] : rd(X0,X0) = unit,
inference(paramodulation,[status(thm)],[f16,f14]) ).
fof(f407,plain,
! [X0,X1] : rd(X0,ld(X1,X0)) = X1,
inference(paramodulation,[status(thm)],[f11,f14]) ).
fof(f412,plain,
! [X0,X1] : mult(rd(X0,X1),mult(X1,X1)) = mult(X0,X1),
inference(paramodulation,[status(thm)],[f13,f360]) ).
fof(f421,plain,
! [X0,X1] : rd(mult(X0,mult(X1,X1)),X1) = mult(X0,X1),
inference(paramodulation,[status(thm)],[f360,f14]) ).
fof(f444,plain,
! [X0,X1] : mult(rd(X0,X1),X0) = mult(X1,mult(rd(X0,X1),rd(X0,X1))),
inference(paramodulation,[status(thm)],[f13,f295]) ).
fof(f462,plain,
! [X0,X1] : rd(mult(X0,mult(X1,X1)),mult(X1,X0)) = X1,
inference(paramodulation,[status(thm)],[f295,f14]) ).
fof(f463,plain,
! [X0,X1] : ld(X0,mult(X1,mult(X0,X0))) = mult(X0,X1),
inference(paramodulation,[status(thm)],[f295,f12]) ).
fof(f524,plain,
! [X0,X1] : mult(rd(X0,mult(X1,X1)),mult(X1,mult(X1,mult(X1,X1)))) = mult(X0,mult(X1,X1)),
inference(paramodulation,[status(thm)],[f295,f412]) ).
fof(f528,plain,
! [X0,X1] : mult(rd(X0,X1),mult(mult(X1,X1),mult(X1,X1))) = mult(mult(X0,X1),mult(X1,X1)),
inference(paramodulation,[status(thm)],[f412,f360]) ).
fof(f532,plain,
! [X0,X1] : mult(rd(X0,mult(X1,X1)),unit) = mult(X0,mult(X1,X1)),
inference(forward_demodulation,[status(thm)],[f18,f524]) ).
fof(f533,plain,
! [X0,X1] : rd(rd(X0,X1),mult(X1,X1)) = mult(X0,X1),
inference(backward_demodulation,[status(thm)],[f570,f412]) ).
fof(f534,plain,
! [X0,X1] : mult(X0,mult(X0,X1)) = rd(X1,mult(X0,X0)),
inference(backward_demodulation,[status(thm)],[f570,f295]) ).
fof(f536,plain,
! [X0,X1,X2] : mult(mult(X0,X1),mult(X1,mult(X1,X2))) = mult(mult(X0,rd(X1,mult(X1,X1))),X2),
inference(backward_demodulation,[status(thm)],[f570,f26]) ).
fof(f539,plain,
! [X0,X1] : mult(rd(X0,X1),X0) = rd(X1,mult(rd(X0,X1),rd(X0,X1))),
inference(backward_demodulation,[status(thm)],[f570,f444]) ).
fof(f545,plain,
! [X0,X1] : ld(X0,rd(X1,mult(X0,X0))) = mult(X0,X1),
inference(backward_demodulation,[status(thm)],[f570,f463]) ).
fof(f546,plain,
! [X0,X1] : rd(rd(X0,mult(X1,X1)),mult(X1,X0)) = X1,
inference(backward_demodulation,[status(thm)],[f570,f462]) ).
fof(f551,plain,
! [X0,X1] : rd(rd(X0,mult(X1,X1)),X1) = mult(X0,X1),
inference(backward_demodulation,[status(thm)],[f570,f421]) ).
fof(f562,plain,
! [X0,X1,X2] : mult(X0,mult(X1,mult(X1,X2))) = mult(rd(X0,mult(X1,X1)),X2),
inference(backward_demodulation,[status(thm)],[f570,f368]) ).
fof(f570,plain,
! [X0,X1] : rd(X0,mult(X1,X1)) = mult(X0,mult(X1,X1)),
inference(forward_demodulation,[status(thm)],[f15,f532]) ).
fof(f574,plain,
! [X0,X1] : rd(rd(X0,X1),mult(mult(X1,X1),mult(X1,X1))) = mult(mult(X0,X1),mult(X1,X1)),
inference(forward_demodulation,[status(thm)],[f570,f528]) ).
fof(f575,plain,
! [X0,X1] : rd(rd(X0,X1),mult(X1,mult(X1,mult(X1,X1)))) = mult(mult(X0,X1),mult(X1,X1)),
inference(forward_demodulation,[status(thm)],[f361,f574]) ).
fof(f576,plain,
! [X0,X1] : rd(rd(X0,X1),unit) = mult(mult(X0,X1),mult(X1,X1)),
inference(forward_demodulation,[status(thm)],[f18,f575]) ).
fof(f577,plain,
! [X0,X1] : rd(X0,X1) = mult(mult(X0,X1),mult(X1,X1)),
inference(forward_demodulation,[status(thm)],[f400,f576]) ).
fof(f578,plain,
! [X0,X1] : rd(X0,X1) = mult(X0,mult(X1,mult(X1,X1))),
inference(forward_demodulation,[status(thm)],[f361,f577]) ).
fof(f579,plain,
! [X0,X1] : rd(X0,X1) = mult(X0,rd(X1,mult(X1,X1))),
inference(forward_demodulation,[status(thm)],[f570,f578]) ).
fof(f596,plain,
! [X0,X1,X2] : mult(mult(X0,X1),rd(X2,mult(X1,X1))) = mult(mult(X0,rd(X1,mult(X1,X1))),X2),
inference(forward_demodulation,[status(thm)],[f534,f536]) ).
fof(f597,plain,
! [X0,X1,X2] : mult(mult(X0,X1),rd(X2,mult(X1,X1))) = mult(rd(X0,X1),X2),
inference(forward_demodulation,[status(thm)],[f579,f596]) ).
fof(f661,plain,
! [X0,X1,X2] : mult(X0,rd(X1,mult(X2,X2))) = mult(rd(X0,mult(X2,X2)),X1),
inference(forward_demodulation,[status(thm)],[f534,f562]) ).
fof(f784,plain,
! [X0,X1] : mult(X0,rd(X1,mult(X0,X0))) = rd(mult(X0,X1),mult(X0,X0)),
inference(paramodulation,[status(thm)],[f534,f534]) ).
fof(f785,plain,
! [X0,X1] : mult(X0,X1) = rd(ld(X0,X1),mult(X0,X0)),
inference(paramodulation,[status(thm)],[f11,f534]) ).
fof(f786,plain,
! [X0] : mult(X0,X0) = rd(unit,mult(X0,X0)),
inference(paramodulation,[status(thm)],[f15,f534]) ).
fof(f798,plain,
! [X0,X1] : mult(X0,rd(X1,mult(X0,X0))) = mult(rd(unit,X0),X1),
inference(paramodulation,[status(thm)],[f16,f597]) ).
fof(f802,plain,
! [X0,X1,X2] : mult(mult(X0,X1),mult(X2,X1)) = mult(rd(X0,X1),rd(X2,X1)),
inference(paramodulation,[status(thm)],[f533,f597]) ).
fof(f814,plain,
! [X0,X1] : rd(mult(X0,X1),mult(X0,X0)) = mult(rd(unit,X0),X1),
inference(forward_demodulation,[status(thm)],[f784,f798]) ).
fof(f894,plain,
! [X0,X1] : mult(mult(rd(X0,X1),X0),mult(rd(X0,X1),rd(X0,X1))) = X1,
inference(paramodulation,[status(thm)],[f539,f13]) ).
fof(f947,plain,
! [X0,X1] : rd(mult(rd(X0,X1),X0),mult(rd(X0,X1),rd(X0,X1))) = X1,
inference(forward_demodulation,[status(thm)],[f570,f894]) ).
fof(f949,plain,
! [X0,X1] : mult(rd(unit,rd(X0,X1)),X0) = X1,
inference(forward_demodulation,[status(thm)],[f814,f947]) ).
fof(f964,plain,
! [X0,X1] : mult(rd(unit,X0),X1) = ld(X0,X1),
inference(paramodulation,[status(thm)],[f407,f949]) ).
fof(f969,plain,
! [X0,X1] : mult(rd(unit,rd(X0,X1)),X1) = rd(X0,mult(rd(unit,rd(X0,X1)),rd(unit,rd(X0,X1)))),
inference(paramodulation,[status(thm)],[f949,f534]) ).
fof(f970,plain,
! [X0,X1] : rd(X0,X1) = rd(unit,rd(X1,X0)),
inference(paramodulation,[status(thm)],[f949,f14]) ).
fof(f980,plain,
! [X0,X1] : ld(rd(X0,X1),X1) = rd(X0,mult(rd(unit,rd(X0,X1)),rd(unit,rd(X0,X1)))),
inference(forward_demodulation,[status(thm)],[f964,f969]) ).
fof(f981,plain,
! [X0,X1] : ld(rd(X0,X1),X1) = rd(X0,ld(rd(X0,X1),rd(unit,rd(X0,X1)))),
inference(forward_demodulation,[status(thm)],[f964,f980]) ).
fof(f983,plain,
! [X0,X1] : ld(rd(X0,X1),X1) = rd(X0,ld(rd(X0,X1),rd(X1,X0))),
inference(backward_demodulation,[status(thm)],[f970,f981]) ).
fof(f991,plain,
! [X0,X1] : ld(X0,X1) = mult(X0,mult(X1,mult(X0,X0))),
inference(paramodulation,[status(thm)],[f14,f545]) ).
fof(f993,plain,
! [X0] : ld(X0,unit) = mult(X0,mult(X0,X0)),
inference(paramodulation,[status(thm)],[f405,f545]) ).
fof(f1002,plain,
! [X0,X1] : ld(X0,X1) = mult(X0,rd(X1,mult(X0,X0))),
inference(forward_demodulation,[status(thm)],[f570,f991]) ).
fof(f1007,plain,
! [X0,X1] : rd(X0,X1) = mult(X0,ld(X1,unit)),
inference(backward_demodulation,[status(thm)],[f1008,f579]) ).
fof(f1008,plain,
! [X0] : ld(X0,unit) = rd(X0,mult(X0,X0)),
inference(forward_demodulation,[status(thm)],[f534,f993]) ).
fof(f1033,plain,
! [X0,X1] : mult(rd(rd(X0,mult(X1,X1)),mult(X1,X0)),rd(X0,mult(X1,X1))) = rd(mult(X1,X0),mult(rd(rd(X0,mult(X1,X1)),mult(X1,X0)),X1)),
inference(paramodulation,[status(thm)],[f546,f539]) ).
fof(f1036,plain,
! [X0,X1] : rd(X0,mult(mult(X0,X1),mult(X0,X1))) = mult(rd(X1,mult(X0,X0)),mult(X0,X1)),
inference(paramodulation,[status(thm)],[f546,f533]) ).
fof(f1060,plain,
! [X0,X1] : mult(X0,rd(X1,mult(X0,X0))) = rd(mult(X0,X1),mult(rd(rd(X1,mult(X0,X0)),mult(X0,X1)),X0)),
inference(forward_demodulation,[status(thm)],[f546,f1033]) ).
fof(f1061,plain,
! [X0,X1] : ld(X0,X1) = rd(mult(X0,X1),mult(rd(rd(X1,mult(X0,X0)),mult(X0,X1)),X0)),
inference(forward_demodulation,[status(thm)],[f1002,f1060]) ).
fof(f1063,plain,
! [X0,X1] : ld(X0,X1) = rd(mult(X0,X1),mult(X0,X0)),
inference(forward_demodulation,[status(thm)],[f546,f1061]) ).
fof(f1067,plain,
! [X0,X1] : rd(X0,mult(rd(X0,X1),rd(X0,X1))) = mult(rd(X1,mult(X0,X0)),mult(X0,X1)),
inference(forward_demodulation,[status(thm)],[f802,f1036]) ).
fof(f1068,plain,
! [X0,X1] : rd(X0,mult(rd(X0,X1),rd(X0,X1))) = mult(X1,rd(mult(X0,X1),mult(X0,X0))),
inference(forward_demodulation,[status(thm)],[f661,f1067]) ).
fof(f1069,plain,
! [X0,X1] : rd(X0,mult(rd(X0,X1),rd(X0,X1))) = mult(X1,ld(X0,X1)),
inference(forward_demodulation,[status(thm)],[f1063,f1068]) ).
fof(f1075,plain,
! [X0] : ld(X0,ld(X0,unit)) = mult(X0,X0),
inference(paramodulation,[status(thm)],[f1008,f545]) ).
fof(f1491,plain,
! [X0,X1] : rd(X0,mult(X1,X0)) = rd(unit,X1),
inference(paramodulation,[status(thm)],[f14,f970]) ).
fof(f1494,plain,
! [X0,X1] : rd(ld(X0,X1),X1) = rd(unit,X0),
inference(paramodulation,[status(thm)],[f407,f970]) ).
fof(f1505,plain,
! [X0] : ld(X0,unit) = rd(unit,X0),
inference(backward_demodulation,[status(thm)],[f1491,f1008]) ).
fof(f1516,plain,
! [X0] : ld(X0,rd(unit,X0)) = mult(X0,X0),
inference(backward_demodulation,[status(thm)],[f1505,f1075]) ).
fof(f1521,plain,
! [X0,X1] : rd(X0,X1) = mult(X0,rd(unit,X1)),
inference(backward_demodulation,[status(thm)],[f1505,f1007]) ).
fof(f1590,plain,
! [X0,X1] : ld(rd(X0,X1),rd(X1,X0)) = mult(rd(X0,X1),rd(X0,X1)),
inference(paramodulation,[status(thm)],[f970,f1516]) ).
fof(f1602,plain,
! [X0,X1] : ld(rd(X0,X1),X1) = rd(X0,mult(rd(X0,X1),rd(X0,X1))),
inference(backward_demodulation,[status(thm)],[f1590,f983]) ).
fof(f1628,plain,
! [X0,X1] : ld(rd(X0,X1),X1) = mult(X1,ld(X0,X1)),
inference(forward_demodulation,[status(thm)],[f1069,f1602]) ).
fof(f1910,plain,
! [X0,X1] : ld(rd(unit,X0),X1) = mult(X0,X1),
inference(paramodulation,[status(thm)],[f1491,f403]) ).
fof(f1911,plain,
! [X0,X1] : rd(rd(unit,X0),mult(mult(X0,X1),mult(X0,X1))) = mult(X1,mult(X0,X1)),
inference(paramodulation,[status(thm)],[f1491,f533]) ).
fof(f1934,plain,
! [X0,X1] : rd(rd(unit,X0),mult(rd(X0,X1),rd(X0,X1))) = mult(X1,mult(X0,X1)),
inference(forward_demodulation,[status(thm)],[f802,f1911]) ).
fof(f1960,plain,
! [X0,X1] : rd(rd(unit,X0),mult(X1,X1)) = mult(ld(X0,X1),X1),
inference(paramodulation,[status(thm)],[f1494,f533]) ).
fof(f1982,plain,
! [X0,X1] : mult(ld(X0,rd(X0,X1)),rd(X0,X1)) = mult(X1,mult(X0,X1)),
inference(backward_demodulation,[status(thm)],[f1960,f1934]) ).
fof(f1992,plain,
! [X0,X1,X2] : ld(rd(X0,X1),X2) = mult(rd(X1,X0),X2),
inference(paramodulation,[status(thm)],[f970,f1910]) ).
fof(f2028,plain,
! [X0,X1] : mult(rd(X0,X1),X0) = mult(X0,ld(X1,X0)),
inference(backward_demodulation,[status(thm)],[f1992,f1628]) ).
fof(f2268,plain,
! [X0,X1] : rd(mult(X0,X1),X0) = mult(ld(X0,X1),X0),
inference(paramodulation,[status(thm)],[f785,f551]) ).
fof(f2277,plain,
! [X0] : rd(rd(unit,X0),X0) = mult(X0,X0),
inference(paramodulation,[status(thm)],[f1491,f551]) ).
fof(f2479,plain,
! [X0,X1] : mult(unit,rd(X0,mult(X1,X1))) = mult(mult(X1,X1),X0),
inference(paramodulation,[status(thm)],[f786,f661]) ).
fof(f2534,plain,
! [X0,X1] : rd(X0,mult(X1,X1)) = mult(mult(X1,X1),X0),
inference(forward_demodulation,[status(thm)],[f16,f2479]) ).
fof(f2837,plain,
! [X0,X1,X2] : rd(X0,rd(X1,X2)) = mult(X0,rd(X2,X1)),
inference(paramodulation,[status(thm)],[f970,f1521]) ).
fof(f2843,plain,
! [X0,X1] : rd(X0,ld(X1,unit)) = mult(X0,X1),
inference(paramodulation,[status(thm)],[f407,f1521]) ).
fof(f2867,plain,
! [X0,X1] : ld(rd(unit,X0),rd(X1,rd(rd(unit,X0),X0))) = mult(rd(unit,X0),X1),
inference(paramodulation,[status(thm)],[f1521,f545]) ).
fof(f2874,plain,
! [X0,X1] : ld(X0,rd(X0,X1)) = rd(unit,X1),
inference(paramodulation,[status(thm)],[f1521,f12]) ).
fof(f2883,plain,
! [X0,X1] : rd(ld(X0,rd(X0,X1)),rd(X1,X0)) = mult(X1,mult(X0,X1)),
inference(backward_demodulation,[status(thm)],[f2837,f1982]) ).
fof(f2920,plain,
! [X0,X1] : rd(X0,rd(unit,X1)) = mult(X0,X1),
inference(forward_demodulation,[status(thm)],[f1505,f2843]) ).
fof(f2988,plain,
! [X0,X1] : mult(rd(X0,unit),rd(X1,rd(rd(unit,X0),X0))) = mult(rd(unit,X0),X1),
inference(forward_demodulation,[status(thm)],[f1992,f2867]) ).
fof(f2989,plain,
! [X0,X1] : rd(rd(X0,unit),rd(rd(rd(unit,X0),X0),X1)) = mult(rd(unit,X0),X1),
inference(forward_demodulation,[status(thm)],[f2837,f2988]) ).
fof(f2990,plain,
! [X0,X1] : rd(X0,rd(rd(rd(unit,X0),X0),X1)) = mult(rd(unit,X0),X1),
inference(forward_demodulation,[status(thm)],[f400,f2989]) ).
fof(f2991,plain,
! [X0,X1] : rd(X0,rd(mult(X0,X0),X1)) = mult(rd(unit,X0),X1),
inference(forward_demodulation,[status(thm)],[f2277,f2990]) ).
fof(f2992,plain,
! [X0,X1] : rd(X0,rd(mult(X0,X0),X1)) = ld(X0,X1),
inference(forward_demodulation,[status(thm)],[f964,f2991]) ).
fof(f3015,plain,
! [X0,X1] : rd(rd(unit,X0),rd(X0,X1)) = mult(X0,mult(X1,X0)),
inference(forward_demodulation,[status(thm)],[f2874,f2883]) ).
fof(f3290,plain,
! [X0,X1] : rd(rd(unit,X0),X1) = rd(unit,mult(X1,X0)),
inference(paramodulation,[status(thm)],[f2920,f970]) ).
fof(f3329,plain,
! [X0,X1] : rd(unit,mult(rd(X0,X1),X0)) = mult(X0,mult(X1,X0)),
inference(backward_demodulation,[status(thm)],[f3290,f3015]) ).
fof(f3342,plain,
! [X0,X1] : rd(unit,mult(X0,ld(X1,X0))) = mult(X0,mult(X1,X0)),
inference(forward_demodulation,[status(thm)],[f2028,f3329]) ).
fof(f3357,plain,
! [X0,X1] : ld(X0,X1) = rd(unit,ld(X1,X0)),
inference(paramodulation,[status(thm)],[f407,f2874]) ).
fof(f3364,plain,
! [X0,X1] : mult(X0,rd(X0,X1)) = rd(rd(unit,X1),mult(X0,X0)),
inference(paramodulation,[status(thm)],[f2874,f785]) ).
fof(f3384,plain,
! [X0,X1] : rd(X0,rd(X1,X0)) = rd(rd(unit,X1),mult(X0,X0)),
inference(forward_demodulation,[status(thm)],[f2837,f3364]) ).
fof(f3385,plain,
! [X0,X1] : rd(X0,rd(X1,X0)) = rd(unit,mult(mult(X0,X0),X1)),
inference(forward_demodulation,[status(thm)],[f3290,f3384]) ).
fof(f3386,plain,
! [X0,X1] : rd(X0,rd(X1,X0)) = rd(unit,rd(X1,mult(X0,X0))),
inference(forward_demodulation,[status(thm)],[f2534,f3385]) ).
fof(f3419,plain,
! [X0,X1] : rd(X0,rd(X0,rd(X1,X0))) = ld(X0,X1),
inference(backward_demodulation,[status(thm)],[f3422,f2992]) ).
fof(f3422,plain,
! [X0,X1] : rd(X0,rd(X1,X0)) = rd(mult(X0,X0),X1),
inference(forward_demodulation,[status(thm)],[f970,f3386]) ).
fof(f3824,plain,
! [X0,X1,X2] : rd(X0,ld(X1,X2)) = mult(X0,ld(X2,X1)),
inference(paramodulation,[status(thm)],[f3357,f2920]) ).
fof(f3861,plain,
! [X0,X1] : rd(unit,rd(X0,ld(X0,X1))) = mult(X0,mult(X1,X0)),
inference(backward_demodulation,[status(thm)],[f3824,f3342]) ).
fof(f3884,plain,
mult(mult(a,b),a) != rd(ld(a,b),a),
inference(backward_demodulation,[status(thm)],[f3888,f20]) ).
fof(f3888,plain,
! [X0,X1] : rd(ld(X0,X1),X0) = mult(X0,mult(X1,X0)),
inference(forward_demodulation,[status(thm)],[f970,f3861]) ).
fof(f4285,plain,
! [X0,X1] : rd(mult(X0,rd(X1,mult(X0,X0))),X0) = mult(mult(X0,X1),X0),
inference(paramodulation,[status(thm)],[f545,f2268]) ).
fof(f4325,plain,
! [X0,X1] : rd(rd(X0,rd(mult(X0,X0),X1)),X0) = mult(mult(X0,X1),X0),
inference(forward_demodulation,[status(thm)],[f2837,f4285]) ).
fof(f4326,plain,
! [X0,X1] : rd(rd(X0,rd(X0,rd(X1,X0))),X0) = mult(mult(X0,X1),X0),
inference(forward_demodulation,[status(thm)],[f3422,f4325]) ).
fof(f4327,plain,
rd(ld(a,b),a) != rd(ld(a,b),a),
inference(backward_demodulation,[status(thm)],[f4330,f3884]) ).
fof(f4330,plain,
! [X0,X1] : rd(ld(X0,X1),X0) = mult(mult(X0,X1),X0),
inference(forward_demodulation,[status(thm)],[f3419,f4326]) ).
fof(f4365,plain,
$false,
inference(trivial_equality_resolution,[status(thm)],[f4327]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP707-1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n013.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sun Sep 20 20:34:06 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 1.25/0.64 % Refutation found
% 1.25/0.64 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 1.25/0.64 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 1.25/0.65 % Elapsed time: 0.286010 seconds
% 1.25/0.65 % CPU time: 2.098277 seconds
% 1.25/0.65 % Total memory used: 51.902 MB
% 1.25/0.65 % Net memory used: 50.350 MB
%------------------------------------------------------------------------------