TSTP Solution File: GRP667+1 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GRP667+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 20:21:21 EDT 2024
% Result : Theorem 253.15s 32.24s
% Output : CNFRefutation 255.98s
% Verified :
% SZS Type : Refutation
% Derivation depth : 57
% Number of leaves : 12
% Syntax : Number of formulae : 187 ( 159 unt; 0 def)
% Number of atoms : 215 ( 214 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 58 ( 30 ~; 26 |; 0 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 370 ( 370 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [B,A] : mult(A,ld(A,B)) = B,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [B,A] : ld(A,mult(A,B)) = B,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [B,A] : mult(rd(A,B),B) = A,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [B,A] : 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,
! [C,B,A] : mult(mult(A,B),mult(mult(C,B),C)) = mult(mult(A,mult(mult(B,C),B)),C),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [B,A] : mult(mult(A,B),A) = mult(A,mult(B,A)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [A] : mult(f(A),f(A)) = A,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,axiom,
! [X0,X1,X2] :
( mult(X0,mult(X1,mult(X2,X1))) = mult(mult(mult(X0,X1),X2),X1)
=> mult(X1,mult(X0,mult(X1,X2))) = mult(mult(mult(X1,X0),X1),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,axiom,
! [X3,X4,X5] :
( mult(mult(X3,X4),mult(X5,X3)) = mult(mult(X3,mult(X4,X5)),X3)
=> mult(X3,mult(X4,mult(X3,X5))) = mult(mult(mult(X3,X4),X3),X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,conjecture,
mult(a,mult(b,mult(a,c))) = mult(mult(mult(a,b),a),c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,negated_conjecture,
mult(a,mult(b,mult(a,c))) != mult(mult(mult(a,b),a),c),
inference(negated_conjecture,[status(cth)],[f13]) ).
fof(f15,plain,
! [X0,X1] : mult(X0,ld(X0,X1)) = X1,
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f16,plain,
! [X0,X1] : ld(X0,mult(X0,X1)) = X1,
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f17,plain,
! [X0,X1] : mult(rd(X0,X1),X1) = X0,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f18,plain,
! [X0,X1] : rd(mult(X0,X1),X1) = X0,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f19,plain,
! [X0] : mult(X0,unit) = X0,
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f20,plain,
! [X0] : mult(unit,X0) = X0,
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f21,plain,
! [X0,X1,X2] : mult(mult(X0,X1),mult(mult(X2,X1),X2)) = mult(mult(X0,mult(mult(X1,X2),X1)),X2),
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f22,plain,
! [X0,X1] : mult(mult(X0,X1),X0) = mult(X0,mult(X1,X0)),
inference(cnf_transformation,[status(esa)],[f8]) ).
fof(f23,plain,
! [X0] : mult(f(X0),f(X0)) = X0,
inference(cnf_transformation,[status(esa)],[f9]) ).
fof(f24,plain,
! [X0,X1,X2] :
( mult(X0,mult(X1,mult(X2,X1))) != mult(mult(mult(X0,X1),X2),X1)
| mult(X1,mult(X0,mult(X1,X2))) = mult(mult(mult(X1,X0),X1),X2) ),
inference(pre_NNF_transformation,[status(esa)],[f10]) ).
fof(f25,plain,
! [X0,X1,X2] :
( mult(X0,mult(X1,mult(X2,X1))) != mult(mult(mult(X0,X1),X2),X1)
| mult(X1,mult(X0,mult(X1,X2))) = mult(mult(mult(X1,X0),X1),X2) ),
inference(cnf_transformation,[status(esa)],[f24]) ).
fof(f26,plain,
! [X3,X4,X5] :
( mult(mult(X3,X4),mult(X5,X3)) != mult(mult(X3,mult(X4,X5)),X3)
| mult(X3,mult(X4,mult(X3,X5))) = mult(mult(mult(X3,X4),X3),X5) ),
inference(pre_NNF_transformation,[status(esa)],[f11]) ).
fof(f27,plain,
! [X0,X1,X2] :
( mult(mult(X0,X1),mult(X2,X0)) != mult(mult(X0,mult(X1,X2)),X0)
| mult(X0,mult(X1,mult(X0,X2))) = mult(mult(mult(X0,X1),X0),X2) ),
inference(cnf_transformation,[status(esa)],[f26]) ).
fof(f30,plain,
mult(a,mult(b,mult(a,c))) != mult(mult(mult(a,b),a),c),
inference(cnf_transformation,[status(esa)],[f14]) ).
fof(f31,plain,
! [X0,X1,X2] :
( mult(X0,mult(X1,mult(X2,X1))) != mult(mult(mult(X0,X1),X2),X1)
| mult(X1,mult(X0,mult(X1,X2))) = mult(mult(X1,mult(X0,X1)),X2) ),
inference(forward_demodulation,[status(thm)],[f22,f25]) ).
fof(f32,plain,
! [X0,X1,X2] :
( mult(mult(X0,X1),mult(X2,X0)) != mult(X0,mult(mult(X1,X2),X0))
| mult(X0,mult(X1,mult(X0,X2))) = mult(mult(mult(X0,X1),X0),X2) ),
inference(forward_demodulation,[status(thm)],[f22,f27]) ).
fof(f33,plain,
! [X0,X1,X2] :
( mult(mult(X0,X1),mult(X2,X0)) != mult(X0,mult(mult(X1,X2),X0))
| mult(X0,mult(X1,mult(X0,X2))) = mult(mult(X0,mult(X1,X0)),X2) ),
inference(forward_demodulation,[status(thm)],[f22,f32]) ).
fof(f35,plain,
mult(a,mult(b,mult(a,c))) != mult(mult(a,mult(b,a)),c),
inference(forward_demodulation,[status(thm)],[f22,f30]) ).
fof(f36,plain,
! [X0,X1,X2] : mult(mult(X0,X1),mult(mult(X2,X1),X2)) = mult(mult(X0,mult(X1,mult(X2,X1))),X2),
inference(backward_demodulation,[status(thm)],[f22,f21]) ).
fof(f37,plain,
! [X0,X1,X2] : mult(mult(X0,X1),mult(X2,mult(X1,X2))) = mult(mult(X0,mult(X1,mult(X2,X1))),X2),
inference(forward_demodulation,[status(thm)],[f22,f36]) ).
fof(f70,plain,
! [X0,X1,X2] : mult(mult(mult(mult(X0,mult(X1,X0)),X2),X0),mult(X1,mult(X0,X1))) = mult(mult(mult(X0,mult(X1,X0)),mult(X2,mult(X0,mult(X1,X0)))),X1),
inference(paramodulation,[status(thm)],[f22,f37]) ).
fof(f1168,plain,
! [X0,X1] : mult(mult(X0,X1),mult(unit,mult(X1,unit))) = mult(X0,mult(X1,mult(unit,X1))),
inference(paramodulation,[status(thm)],[f37,f19]) ).
fof(f1169,plain,
! [X0,X1] : mult(mult(X0,X1),mult(X1,unit)) = mult(X0,mult(X1,mult(unit,X1))),
inference(forward_demodulation,[status(thm)],[f20,f1168]) ).
fof(f1170,plain,
! [X0,X1] : mult(mult(X0,X1),X1) = mult(X0,mult(X1,mult(unit,X1))),
inference(forward_demodulation,[status(thm)],[f19,f1169]) ).
fof(f1171,plain,
! [X0,X1] : mult(mult(X0,X1),X1) = mult(X0,mult(X1,X1)),
inference(forward_demodulation,[status(thm)],[f20,f1170]) ).
fof(f1437,plain,
! [X0,X1] :
( mult(X0,mult(X1,X0)) != mult(X0,mult(mult(unit,X1),X0))
| mult(X0,mult(unit,mult(X0,X1))) = mult(mult(X0,mult(unit,X0)),X1) ),
inference(paramodulation,[status(thm)],[f19,f33]) ).
fof(f1438,plain,
! [X0,X1] :
( mult(X0,mult(X1,X0)) != mult(X0,mult(X1,X0))
| mult(X0,mult(unit,mult(X0,X1))) = mult(mult(X0,mult(unit,X0)),X1) ),
inference(forward_demodulation,[status(thm)],[f20,f1437]) ).
fof(f1439,plain,
! [X0,X1] :
( mult(X0,mult(X1,X0)) != mult(X0,mult(X1,X0))
| mult(X0,mult(X0,X1)) = mult(mult(X0,mult(unit,X0)),X1) ),
inference(forward_demodulation,[status(thm)],[f20,f1438]) ).
fof(f1440,plain,
! [X0,X1] :
( mult(X0,mult(X1,X0)) != mult(X0,mult(X1,X0))
| mult(X0,mult(X0,X1)) = mult(mult(X0,X0),X1) ),
inference(forward_demodulation,[status(thm)],[f20,f1439]) ).
fof(f1441,plain,
! [X0,X1] : mult(X0,mult(X0,X1)) = mult(mult(X0,X0),X1),
inference(trivial_equality_resolution,[status(esa)],[f1440]) ).
fof(f2658,plain,
! [X0,X1,X2] :
( mult(X0,mult(X1,mult(ld(mult(X0,X1),X2),X1))) != mult(X2,X1)
| mult(X1,mult(X0,mult(X1,ld(mult(X0,X1),X2)))) = mult(mult(X1,mult(X0,X1)),ld(mult(X0,X1),X2)) ),
inference(paramodulation,[status(thm)],[f15,f31]) ).
fof(f2677,plain,
! [X0,X1] : mult(X0,X1) = mult(X1,mult(ld(X1,X0),X1)),
inference(paramodulation,[status(thm)],[f15,f22]) ).
fof(f2688,plain,
! [X0] : ld(X0,X0) = unit,
inference(paramodulation,[status(thm)],[f19,f16]) ).
fof(f2695,plain,
! [X0,X1] : ld(rd(X0,X1),X0) = X1,
inference(paramodulation,[status(thm)],[f17,f16]) ).
fof(f2709,plain,
! [X0,X1,X2] : mult(mult(X0,X1),mult(rd(X2,X1),mult(X1,rd(X2,X1)))) = mult(mult(X0,mult(X1,X2)),rd(X2,X1)),
inference(paramodulation,[status(thm)],[f17,f37]) ).
fof(f2714,plain,
! [X0,X1] : mult(X0,rd(X0,X1)) = mult(rd(X0,X1),mult(X1,rd(X0,X1))),
inference(paramodulation,[status(thm)],[f17,f22]) ).
fof(f2718,plain,
! [X0,X1,X2] : mult(mult(X0,X1),mult(X2,rd(X2,X1))) = mult(mult(X0,mult(X1,X2)),rd(X2,X1)),
inference(backward_demodulation,[status(thm)],[f2714,f2709]) ).
fof(f2722,plain,
! [X0] : rd(X0,X0) = unit,
inference(paramodulation,[status(thm)],[f20,f18]) ).
fof(f2724,plain,
! [X0,X1,X2] : rd(mult(mult(X0,X1),mult(X2,mult(X1,X2))),X2) = mult(X0,mult(X1,mult(X2,X1))),
inference(paramodulation,[status(thm)],[f37,f18]) ).
fof(f2725,plain,
! [X0,X1] : rd(mult(X0,mult(X1,X0)),X0) = mult(X0,X1),
inference(paramodulation,[status(thm)],[f22,f18]) ).
fof(f2779,plain,
! [X0] : mult(X0,f(X0)) = mult(f(X0),mult(f(X0),f(X0))),
inference(paramodulation,[status(thm)],[f23,f22]) ).
fof(f2780,plain,
! [X0] : mult(X0,f(X0)) = mult(f(X0),X0),
inference(forward_demodulation,[status(thm)],[f23,f2779]) ).
fof(f2805,plain,
! [X0] : rd(mult(X0,f(X0)),X0) = f(X0),
inference(paramodulation,[status(thm)],[f2780,f18]) ).
fof(f3534,plain,
! [X0,X1] : mult(X0,X1) = mult(rd(X0,X1),mult(X1,X1)),
inference(paramodulation,[status(thm)],[f17,f1171]) ).
fof(f3601,plain,
! [X0,X1] : rd(mult(X0,mult(X1,X1)),X1) = mult(X0,X1),
inference(paramodulation,[status(thm)],[f1171,f18]) ).
fof(f3632,plain,
! [X0,X1] : mult(f(X0),mult(f(X0),X1)) = mult(X0,X1),
inference(paramodulation,[status(thm)],[f23,f1441]) ).
fof(f3776,plain,
! [X0,X1] : rd(mult(X0,mult(X0,X1)),X1) = mult(X0,X0),
inference(paramodulation,[status(thm)],[f1441,f18]) ).
fof(f3967,plain,
! [X0,X1] : ld(X0,mult(X1,X0)) = mult(ld(X0,X1),X0),
inference(paramodulation,[status(thm)],[f2677,f16]) ).
fof(f4112,plain,
! [X0,X1] : rd(mult(X0,X1),X0) = mult(X0,rd(X1,X0)),
inference(paramodulation,[status(thm)],[f17,f2725]) ).
fof(f4141,plain,
! [X0] : mult(X0,rd(f(X0),X0)) = f(X0),
inference(backward_demodulation,[status(thm)],[f4112,f2805]) ).
fof(f4171,plain,
! [X0,X1] : mult(mult(mult(mult(rd(f(X0),X0),mult(X0,rd(f(X0),X0))),X1),rd(f(X0),X0)),mult(X0,mult(rd(f(X0),X0),X0))) = mult(mult(mult(rd(f(X0),X0),mult(X0,rd(f(X0),X0))),mult(X1,mult(rd(f(X0),X0),f(X0)))),X0),
inference(paramodulation,[status(thm)],[f4141,f70]) ).
fof(f4172,plain,
! [X0,X1] : mult(mult(mult(mult(f(X0),rd(f(X0),X0)),X1),rd(f(X0),X0)),mult(X0,mult(rd(f(X0),X0),X0))) = mult(mult(mult(rd(f(X0),X0),mult(X0,rd(f(X0),X0))),mult(X1,mult(rd(f(X0),X0),f(X0)))),X0),
inference(forward_demodulation,[status(thm)],[f2714,f4171]) ).
fof(f4173,plain,
! [X0,X1] : mult(mult(mult(mult(f(X0),rd(f(X0),X0)),X1),rd(f(X0),X0)),mult(X0,f(X0))) = mult(mult(mult(rd(f(X0),X0),mult(X0,rd(f(X0),X0))),mult(X1,mult(rd(f(X0),X0),f(X0)))),X0),
inference(forward_demodulation,[status(thm)],[f17,f4172]) ).
fof(f4174,plain,
! [X0,X1] : mult(mult(mult(mult(f(X0),rd(f(X0),X0)),X1),rd(f(X0),X0)),mult(X0,f(X0))) = mult(mult(mult(f(X0),rd(f(X0),X0)),mult(X1,mult(rd(f(X0),X0),f(X0)))),X0),
inference(forward_demodulation,[status(thm)],[f2714,f4173]) ).
fof(f4180,plain,
! [X0] : ld(X0,f(X0)) = rd(f(X0),X0),
inference(paramodulation,[status(thm)],[f4141,f16]) ).
fof(f4273,plain,
! [X0,X1] : mult(mult(mult(mult(f(X0),rd(f(X0),X0)),X1),rd(f(X0),X0)),mult(X0,f(X0))) = mult(mult(mult(f(X0),rd(f(X0),X0)),mult(X1,mult(ld(X0,f(X0)),f(X0)))),X0),
inference(backward_demodulation,[status(thm)],[f4180,f4174]) ).
fof(f4274,plain,
! [X0,X1] : mult(mult(mult(mult(f(X0),ld(X0,f(X0))),X1),rd(f(X0),X0)),mult(X0,f(X0))) = mult(mult(mult(f(X0),rd(f(X0),X0)),mult(X1,mult(ld(X0,f(X0)),f(X0)))),X0),
inference(forward_demodulation,[status(thm)],[f4180,f4273]) ).
fof(f4275,plain,
! [X0,X1] : mult(mult(mult(mult(f(X0),ld(X0,f(X0))),X1),ld(X0,f(X0))),mult(X0,f(X0))) = mult(mult(mult(f(X0),rd(f(X0),X0)),mult(X1,mult(ld(X0,f(X0)),f(X0)))),X0),
inference(forward_demodulation,[status(thm)],[f4180,f4274]) ).
fof(f4276,plain,
! [X0,X1] : mult(mult(mult(mult(f(X0),ld(X0,f(X0))),X1),ld(X0,f(X0))),mult(X0,f(X0))) = mult(mult(mult(f(X0),ld(X0,f(X0))),mult(X1,mult(ld(X0,f(X0)),f(X0)))),X0),
inference(forward_demodulation,[status(thm)],[f4180,f4275]) ).
fof(f4556,plain,
! [X0,X1] : rd(mult(X0,X1),mult(X1,X1)) = rd(X0,X1),
inference(paramodulation,[status(thm)],[f3534,f18]) ).
fof(f4706,plain,
! [X0,X1] : rd(mult(mult(X0,X1),mult(X0,mult(X1,X0))),X0) = mult(mult(X0,X1),mult(X0,X1)),
inference(paramodulation,[status(thm)],[f22,f3776]) ).
fof(f4707,plain,
! [X0,X1] : mult(X0,mult(X1,mult(X0,X1))) = mult(mult(X0,X1),mult(X0,X1)),
inference(forward_demodulation,[status(thm)],[f2724,f4706]) ).
fof(f4708,plain,
! [X0,X1] : rd(mult(X0,X1),ld(X0,X1)) = mult(X0,X0),
inference(paramodulation,[status(thm)],[f15,f3776]) ).
fof(f4945,plain,
! [X0] : rd(X0,X0) = mult(X0,rd(unit,X0)),
inference(paramodulation,[status(thm)],[f19,f4112]) ).
fof(f4946,plain,
! [X0] : unit = mult(X0,rd(unit,X0)),
inference(forward_demodulation,[status(thm)],[f2722,f4945]) ).
fof(f4986,plain,
! [X0] : rd(mult(X0,unit),rd(unit,X0)) = mult(X0,X0),
inference(paramodulation,[status(thm)],[f4946,f3776]) ).
fof(f4987,plain,
! [X0] : rd(X0,rd(unit,X0)) = mult(X0,X0),
inference(forward_demodulation,[status(thm)],[f19,f4986]) ).
fof(f5053,plain,
! [X0] : ld(X0,unit) = rd(unit,X0),
inference(paramodulation,[status(thm)],[f4946,f16]) ).
fof(f5194,plain,
! [X0] : rd(X0,ld(X0,unit)) = mult(X0,X0),
inference(backward_demodulation,[status(thm)],[f5053,f4987]) ).
fof(f5247,plain,
! [X0] : ld(mult(X0,X0),X0) = ld(X0,unit),
inference(paramodulation,[status(thm)],[f5194,f2695]) ).
fof(f6036,plain,
! [X0] : ld(X0,f(X0)) = ld(f(X0),unit),
inference(paramodulation,[status(thm)],[f23,f5247]) ).
fof(f6065,plain,
! [X0] : ld(f(X0),mult(unit,f(X0))) = mult(ld(X0,f(X0)),f(X0)),
inference(paramodulation,[status(thm)],[f6036,f3967]) ).
fof(f6066,plain,
! [X0] : ld(f(X0),f(X0)) = mult(ld(X0,f(X0)),f(X0)),
inference(forward_demodulation,[status(thm)],[f20,f6065]) ).
fof(f6067,plain,
! [X0] : unit = mult(ld(X0,f(X0)),f(X0)),
inference(forward_demodulation,[status(thm)],[f2688,f6066]) ).
fof(f6070,plain,
! [X0] : mult(f(X0),ld(X0,f(X0))) = unit,
inference(paramodulation,[status(thm)],[f6036,f15]) ).
fof(f6086,plain,
! [X0,X1] : mult(mult(mult(mult(f(X0),ld(X0,f(X0))),X1),ld(X0,f(X0))),mult(X0,f(X0))) = mult(mult(mult(f(X0),ld(X0,f(X0))),mult(X1,unit)),X0),
inference(backward_demodulation,[status(thm)],[f6067,f4276]) ).
fof(f6087,plain,
! [X0,X1] : mult(mult(mult(unit,X0),ld(X1,f(X1))),mult(X1,f(X1))) = mult(mult(mult(f(X1),ld(X1,f(X1))),mult(X0,unit)),X1),
inference(forward_demodulation,[status(thm)],[f6070,f6086]) ).
fof(f6088,plain,
! [X0,X1] : mult(mult(X0,ld(X1,f(X1))),mult(X1,f(X1))) = mult(mult(mult(f(X1),ld(X1,f(X1))),mult(X0,unit)),X1),
inference(forward_demodulation,[status(thm)],[f20,f6087]) ).
fof(f6089,plain,
! [X0,X1] : mult(mult(X0,ld(X1,f(X1))),mult(X1,f(X1))) = mult(mult(unit,mult(X0,unit)),X1),
inference(forward_demodulation,[status(thm)],[f6070,f6088]) ).
fof(f6090,plain,
! [X0,X1] : mult(mult(X0,ld(X1,f(X1))),mult(X1,f(X1))) = mult(mult(X0,unit),X1),
inference(forward_demodulation,[status(thm)],[f20,f6089]) ).
fof(f6091,plain,
! [X0,X1] : mult(mult(X0,ld(X1,f(X1))),mult(X1,f(X1))) = mult(X0,X1),
inference(forward_demodulation,[status(thm)],[f19,f6090]) ).
fof(f6820,plain,
! [X0,X1] : rd(X0,mult(X1,X1)) = rd(rd(X0,X1),X1),
inference(paramodulation,[status(thm)],[f17,f4556]) ).
fof(f7113,plain,
! [X0,X1] : rd(X0,ld(X1,ld(X1,X0))) = mult(X1,X1),
inference(paramodulation,[status(thm)],[f15,f4708]) ).
fof(f7286,plain,
! [X0,X1] : ld(mult(X0,X0),X1) = ld(X0,ld(X0,X1)),
inference(paramodulation,[status(thm)],[f7113,f2695]) ).
fof(f7357,plain,
! [X0,X1] : ld(X0,X1) = ld(f(X0),ld(f(X0),X1)),
inference(paramodulation,[status(thm)],[f23,f7286]) ).
fof(f8795,plain,
! [X0,X1] : mult(f(X0),mult(X0,X1)) = mult(X0,mult(f(X0),X1)),
inference(paramodulation,[status(thm)],[f3632,f3632]) ).
fof(f8801,plain,
! [X0,X1] : mult(f(X0),X1) = mult(X0,ld(f(X0),X1)),
inference(paramodulation,[status(thm)],[f15,f3632]) ).
fof(f9121,plain,
! [X0,X1] : ld(f(X0),mult(X0,X1)) = mult(f(X0),X1),
inference(paramodulation,[status(thm)],[f3632,f16]) ).
fof(f10320,plain,
! [X0,X1] : ld(X0,ld(f(X0),X1)) = ld(f(X0),ld(X0,X1)),
inference(paramodulation,[status(thm)],[f7357,f7357]) ).
fof(f10338,plain,
! [X0,X1] : ld(f(X0),mult(ld(f(X0),X1),f(X0))) = mult(ld(X0,X1),f(X0)),
inference(paramodulation,[status(thm)],[f7357,f3967]) ).
fof(f10339,plain,
! [X0,X1] : ld(f(X0),ld(f(X0),mult(X1,f(X0)))) = mult(ld(X0,X1),f(X0)),
inference(forward_demodulation,[status(thm)],[f3967,f10338]) ).
fof(f10340,plain,
! [X0,X1] : ld(X0,mult(X1,f(X0))) = mult(ld(X0,X1),f(X0)),
inference(forward_demodulation,[status(thm)],[f7357,f10339]) ).
fof(f12476,plain,
! [X0,X1] :
( mult(f(X0),mult(f(X0),mult(ld(mult(f(X0),f(X0)),X1),f(X0)))) != mult(X1,f(X0))
| mult(f(X0),mult(f(X0),mult(f(X0),ld(mult(f(X0),f(X0)),X1)))) = mult(mult(X0,f(X0)),ld(mult(f(X0),f(X0)),X1)) ),
inference(paramodulation,[status(thm)],[f3632,f2658]) ).
fof(f12477,plain,
! [X0,X1] :
( mult(X0,mult(ld(mult(f(X0),f(X0)),X1),f(X0))) != mult(X1,f(X0))
| mult(f(X0),mult(f(X0),mult(f(X0),ld(mult(f(X0),f(X0)),X1)))) = mult(mult(X0,f(X0)),ld(mult(f(X0),f(X0)),X1)) ),
inference(forward_demodulation,[status(thm)],[f3632,f12476]) ).
fof(f12478,plain,
! [X0,X1] :
( mult(X0,mult(ld(f(X0),ld(f(X0),X1)),f(X0))) != mult(X1,f(X0))
| mult(f(X0),mult(f(X0),mult(f(X0),ld(mult(f(X0),f(X0)),X1)))) = mult(mult(X0,f(X0)),ld(mult(f(X0),f(X0)),X1)) ),
inference(forward_demodulation,[status(thm)],[f7286,f12477]) ).
fof(f12479,plain,
! [X0,X1] :
( mult(X0,ld(f(X0),mult(ld(f(X0),X1),f(X0)))) != mult(X1,f(X0))
| mult(f(X0),mult(f(X0),mult(f(X0),ld(mult(f(X0),f(X0)),X1)))) = mult(mult(X0,f(X0)),ld(mult(f(X0),f(X0)),X1)) ),
inference(forward_demodulation,[status(thm)],[f3967,f12478]) ).
fof(f12480,plain,
! [X0,X1] :
( mult(f(X0),mult(ld(f(X0),X1),f(X0))) != mult(X1,f(X0))
| mult(f(X0),mult(f(X0),mult(f(X0),ld(mult(f(X0),f(X0)),X1)))) = mult(mult(X0,f(X0)),ld(mult(f(X0),f(X0)),X1)) ),
inference(forward_demodulation,[status(thm)],[f8801,f12479]) ).
fof(f12481,plain,
! [X0,X1] :
( mult(f(X0),ld(f(X0),mult(X1,f(X0)))) != mult(X1,f(X0))
| mult(f(X0),mult(f(X0),mult(f(X0),ld(mult(f(X0),f(X0)),X1)))) = mult(mult(X0,f(X0)),ld(mult(f(X0),f(X0)),X1)) ),
inference(forward_demodulation,[status(thm)],[f3967,f12480]) ).
fof(f12482,plain,
! [X0,X1] :
( mult(X0,f(X1)) != mult(X0,f(X1))
| mult(f(X1),mult(f(X1),mult(f(X1),ld(mult(f(X1),f(X1)),X0)))) = mult(mult(X1,f(X1)),ld(mult(f(X1),f(X1)),X0)) ),
inference(forward_demodulation,[status(thm)],[f15,f12481]) ).
fof(f12483,plain,
! [X0,X1] :
( mult(X0,f(X1)) != mult(X0,f(X1))
| mult(X1,mult(f(X1),ld(mult(f(X1),f(X1)),X0))) = mult(mult(X1,f(X1)),ld(mult(f(X1),f(X1)),X0)) ),
inference(forward_demodulation,[status(thm)],[f3632,f12482]) ).
fof(f12484,plain,
! [X0,X1] :
( mult(X0,f(X1)) != mult(X0,f(X1))
| mult(X1,mult(f(X1),ld(f(X1),ld(f(X1),X0)))) = mult(mult(X1,f(X1)),ld(mult(f(X1),f(X1)),X0)) ),
inference(forward_demodulation,[status(thm)],[f7286,f12483]) ).
fof(f12485,plain,
! [X0,X1] :
( mult(X0,f(X1)) != mult(X0,f(X1))
| mult(X1,ld(f(X1),X0)) = mult(mult(X1,f(X1)),ld(mult(f(X1),f(X1)),X0)) ),
inference(forward_demodulation,[status(thm)],[f15,f12484]) ).
fof(f12486,plain,
! [X0,X1] :
( mult(X0,f(X1)) != mult(X0,f(X1))
| mult(f(X1),X0) = mult(mult(X1,f(X1)),ld(mult(f(X1),f(X1)),X0)) ),
inference(forward_demodulation,[status(thm)],[f8801,f12485]) ).
fof(f12487,plain,
! [X0,X1] :
( mult(X0,f(X1)) != mult(X0,f(X1))
| mult(f(X1),X0) = mult(mult(X1,f(X1)),ld(f(X1),ld(f(X1),X0))) ),
inference(forward_demodulation,[status(thm)],[f7286,f12486]) ).
fof(f12488,plain,
! [X0,X1] :
( mult(X0,f(X1)) != mult(X0,f(X1))
| mult(f(X1),X0) = mult(mult(X1,f(X1)),ld(X1,X0)) ),
inference(forward_demodulation,[status(thm)],[f7357,f12487]) ).
fof(f12489,plain,
! [X0,X1] : mult(f(X0),X1) = mult(mult(X0,f(X0)),ld(X0,X1)),
inference(trivial_equality_resolution,[status(esa)],[f12488]) ).
fof(f14621,plain,
! [X0,X1] : mult(f(X0),mult(X0,X1)) = mult(mult(X0,f(X0)),X1),
inference(paramodulation,[status(thm)],[f16,f12489]) ).
fof(f14622,plain,
! [X0,X1] : mult(X0,mult(f(X0),X1)) = mult(mult(X0,f(X0)),X1),
inference(forward_demodulation,[status(thm)],[f8795,f14621]) ).
fof(f15677,plain,
! [X0,X1] : rd(mult(X0,mult(f(X0),X1)),X1) = mult(X0,f(X0)),
inference(paramodulation,[status(thm)],[f14622,f18]) ).
fof(f15747,plain,
! [X0,X1] : rd(mult(X0,X1),ld(f(X0),X1)) = mult(X0,f(X0)),
inference(paramodulation,[status(thm)],[f15,f15677]) ).
fof(f15807,plain,
! [X0,X1] : rd(X0,ld(f(X1),ld(X1,X0))) = mult(X1,f(X1)),
inference(paramodulation,[status(thm)],[f15,f15747]) ).
fof(f15808,plain,
! [X0,X1] : rd(X0,ld(X1,ld(f(X1),X0))) = mult(X1,f(X1)),
inference(forward_demodulation,[status(thm)],[f10320,f15807]) ).
fof(f15848,plain,
! [X0] : rd(f(X0),ld(X0,unit)) = mult(X0,f(X0)),
inference(paramodulation,[status(thm)],[f2688,f15808]) ).
fof(f24901,plain,
! [X0,X1] : mult(rd(X0,X1),mult(X1,mult(rd(X0,X1),X1))) = mult(X0,mult(rd(X0,X1),X1)),
inference(paramodulation,[status(thm)],[f17,f4707]) ).
fof(f24902,plain,
! [X0,X1] : mult(rd(X0,X1),mult(X1,X0)) = mult(X0,mult(rd(X0,X1),X1)),
inference(forward_demodulation,[status(thm)],[f17,f24901]) ).
fof(f24903,plain,
! [X0,X1] : mult(rd(X0,X1),mult(X1,X0)) = mult(X0,X0),
inference(forward_demodulation,[status(thm)],[f17,f24902]) ).
fof(f26290,plain,
! [X0,X1] : mult(rd(X0,rd(X1,X0)),X1) = mult(X0,X0),
inference(paramodulation,[status(thm)],[f17,f24903]) ).
fof(f28250,plain,
! [X0,X1] : rd(mult(X0,X0),X1) = rd(X0,rd(X1,X0)),
inference(paramodulation,[status(thm)],[f26290,f18]) ).
fof(f28840,plain,
! [X0,X1] : rd(X0,X1) = rd(f(X0),rd(X1,f(X0))),
inference(paramodulation,[status(thm)],[f23,f28250]) ).
fof(f29095,plain,
! [X0,X1] : rd(X0,rd(X1,f(X0))) = rd(f(X0),rd(X1,mult(f(X0),f(X0)))),
inference(paramodulation,[status(thm)],[f6820,f28840]) ).
fof(f29096,plain,
! [X0,X1] : rd(X0,rd(X1,f(X0))) = rd(f(X0),rd(X1,X0)),
inference(forward_demodulation,[status(thm)],[f23,f29095]) ).
fof(f29109,plain,
! [X0,X1] : rd(X0,mult(X1,mult(f(X0),f(X0)))) = rd(f(X0),mult(X1,f(X0))),
inference(paramodulation,[status(thm)],[f3601,f28840]) ).
fof(f29110,plain,
! [X0,X1] : rd(X0,mult(X1,X0)) = rd(f(X0),mult(X1,f(X0))),
inference(forward_demodulation,[status(thm)],[f23,f29109]) ).
fof(f29115,plain,
! [X0,X1] : rd(X0,mult(X1,f(X0))) = rd(f(X0),X1),
inference(paramodulation,[status(thm)],[f18,f28840]) ).
fof(f29138,plain,
! [X0,X1] : mult(rd(X0,X1),rd(X1,f(X0))) = f(X0),
inference(paramodulation,[status(thm)],[f28840,f17]) ).
fof(f29322,plain,
! [X0,X1] : mult(rd(X0,mult(X1,mult(f(X0),f(X0)))),mult(X1,f(X0))) = f(X0),
inference(paramodulation,[status(thm)],[f3601,f29138]) ).
fof(f29323,plain,
! [X0,X1] : mult(rd(X0,mult(X1,X0)),mult(X1,f(X0))) = f(X0),
inference(forward_demodulation,[status(thm)],[f23,f29322]) ).
fof(f31901,plain,
! [X0,X1] : mult(f(X0),rd(f(X0),mult(X1,f(X0)))) = mult(rd(f(X0),mult(X1,f(X0))),mult(mult(X1,f(X0)),rd(X0,mult(X1,X0)))),
inference(paramodulation,[status(thm)],[f29110,f2714]) ).
fof(f31902,plain,
! [X0,X1] : mult(f(X0),rd(X0,mult(X1,X0))) = mult(rd(f(X0),mult(X1,f(X0))),mult(mult(X1,f(X0)),rd(X0,mult(X1,X0)))),
inference(forward_demodulation,[status(thm)],[f29110,f31901]) ).
fof(f31903,plain,
! [X0,X1] : mult(f(X0),rd(X0,mult(X1,X0))) = mult(rd(X0,mult(X1,X0)),mult(mult(X1,f(X0)),rd(X0,mult(X1,X0)))),
inference(forward_demodulation,[status(thm)],[f29110,f31902]) ).
fof(f32383,plain,
! [X0,X1,X2] : mult(mult(X0,mult(X1,f(X2))),mult(rd(X2,mult(X1,X2)),mult(mult(X1,f(X2)),rd(X2,mult(X1,X2))))) = mult(mult(X0,mult(mult(X1,f(X2)),f(X2))),rd(X2,mult(X1,X2))),
inference(paramodulation,[status(thm)],[f29323,f37]) ).
fof(f32384,plain,
! [X0,X1,X2] : mult(mult(X0,mult(X1,f(X2))),mult(f(X2),rd(X2,mult(X1,X2)))) = mult(mult(X0,mult(mult(X1,f(X2)),f(X2))),rd(X2,mult(X1,X2))),
inference(forward_demodulation,[status(thm)],[f31903,f32383]) ).
fof(f32385,plain,
! [X0,X1,X2] : mult(mult(X0,mult(X1,f(X2))),mult(f(X2),rd(X2,mult(X1,X2)))) = mult(mult(X0,mult(X1,mult(f(X2),f(X2)))),rd(X2,mult(X1,X2))),
inference(forward_demodulation,[status(thm)],[f1171,f32384]) ).
fof(f32386,plain,
! [X0,X1,X2] : mult(mult(X0,mult(X1,f(X2))),mult(f(X2),rd(X2,mult(X1,X2)))) = mult(mult(X0,mult(X1,X2)),rd(X2,mult(X1,X2))),
inference(forward_demodulation,[status(thm)],[f23,f32385]) ).
fof(f32654,plain,
! [X0,X1] : mult(mult(X0,ld(X1,unit)),mult(f(X1),rd(f(X1),ld(X1,unit)))) = mult(mult(X0,mult(ld(X1,unit),f(X1))),mult(X1,f(X1))),
inference(paramodulation,[status(thm)],[f15848,f2718]) ).
fof(f32655,plain,
! [X0,X1] : mult(mult(X0,ld(X1,unit)),mult(f(X1),mult(X1,f(X1)))) = mult(mult(X0,mult(ld(X1,unit),f(X1))),mult(X1,f(X1))),
inference(forward_demodulation,[status(thm)],[f15848,f32654]) ).
fof(f32656,plain,
! [X0,X1] : mult(mult(X0,ld(X1,unit)),mult(X1,mult(f(X1),f(X1)))) = mult(mult(X0,mult(ld(X1,unit),f(X1))),mult(X1,f(X1))),
inference(forward_demodulation,[status(thm)],[f8795,f32655]) ).
fof(f32657,plain,
! [X0,X1] : mult(mult(X0,ld(X1,unit)),mult(X1,X1)) = mult(mult(X0,mult(ld(X1,unit),f(X1))),mult(X1,f(X1))),
inference(forward_demodulation,[status(thm)],[f23,f32656]) ).
fof(f32658,plain,
! [X0,X1] : mult(mult(X0,ld(X1,unit)),mult(X1,X1)) = mult(mult(X0,ld(X1,mult(unit,f(X1)))),mult(X1,f(X1))),
inference(forward_demodulation,[status(thm)],[f10340,f32657]) ).
fof(f32659,plain,
! [X0,X1] : mult(mult(X0,ld(X1,unit)),mult(X1,X1)) = mult(mult(X0,ld(X1,f(X1))),mult(X1,f(X1))),
inference(forward_demodulation,[status(thm)],[f20,f32658]) ).
fof(f32660,plain,
! [X0,X1] : mult(mult(X0,ld(X1,unit)),mult(X1,X1)) = mult(X0,X1),
inference(forward_demodulation,[status(thm)],[f6091,f32659]) ).
fof(f33464,plain,
! [X0,X1] : rd(mult(X0,X1),mult(X1,X1)) = mult(X0,ld(X1,unit)),
inference(paramodulation,[status(thm)],[f32660,f18]) ).
fof(f33465,plain,
! [X0,X1] : rd(X0,X1) = mult(X0,ld(X1,unit)),
inference(forward_demodulation,[status(thm)],[f4556,f33464]) ).
fof(f35082,plain,
! [X0,X1] : rd(mult(X0,X0),X1) = mult(X0,mult(X0,ld(X1,unit))),
inference(paramodulation,[status(thm)],[f1441,f33465]) ).
fof(f35083,plain,
! [X0,X1] : rd(X0,rd(X1,X0)) = mult(X0,mult(X0,ld(X1,unit))),
inference(forward_demodulation,[status(thm)],[f28250,f35082]) ).
fof(f35084,plain,
! [X0,X1] : rd(X0,rd(X1,X0)) = mult(X0,rd(X0,X1)),
inference(forward_demodulation,[status(thm)],[f33465,f35083]) ).
fof(f35132,plain,
! [X0,X1] : mult(f(X0),rd(f(X0),X1)) = mult(X0,ld(X1,unit)),
inference(paramodulation,[status(thm)],[f33465,f3632]) ).
fof(f35133,plain,
! [X0,X1] : mult(f(X0),rd(f(X0),X1)) = rd(X0,X1),
inference(forward_demodulation,[status(thm)],[f33465,f35132]) ).
fof(f35355,plain,
! [X0,X1] : mult(f(X0),rd(X0,X1)) = mult(X0,mult(f(X0),ld(X1,unit))),
inference(paramodulation,[status(thm)],[f33465,f8795]) ).
fof(f35356,plain,
! [X0,X1] : mult(f(X0),rd(X0,X1)) = mult(X0,rd(f(X0),X1)),
inference(forward_demodulation,[status(thm)],[f33465,f35355]) ).
fof(f35389,plain,
! [X0,X1] : ld(f(X0),rd(X0,X1)) = mult(f(X0),ld(X1,unit)),
inference(paramodulation,[status(thm)],[f33465,f9121]) ).
fof(f35390,plain,
! [X0,X1] : ld(f(X0),rd(X0,X1)) = rd(f(X0),X1),
inference(forward_demodulation,[status(thm)],[f33465,f35389]) ).
fof(f35549,plain,
! [X0,X1] : ld(X0,rd(X0,X1)) = ld(X1,unit),
inference(paramodulation,[status(thm)],[f33465,f16]) ).
fof(f36035,plain,
! [X0,X1,X2] : mult(mult(X0,mult(X1,f(X2))),mult(X2,rd(f(X2),mult(X1,X2)))) = mult(mult(X0,mult(X1,X2)),rd(X2,mult(X1,X2))),
inference(backward_demodulation,[status(thm)],[f35356,f32386]) ).
fof(f36342,plain,
! [X0,X1] : ld(f(X0),rd(X0,rd(X1,f(X0)))) = ld(rd(X1,X0),unit),
inference(paramodulation,[status(thm)],[f29096,f35549]) ).
fof(f36343,plain,
! [X0,X1] : rd(f(X0),rd(X1,f(X0))) = ld(rd(X1,X0),unit),
inference(forward_demodulation,[status(thm)],[f35390,f36342]) ).
fof(f36344,plain,
! [X0,X1] : mult(f(X0),rd(f(X0),X1)) = ld(rd(X1,X0),unit),
inference(forward_demodulation,[status(thm)],[f35084,f36343]) ).
fof(f36345,plain,
! [X0,X1] : rd(X0,X1) = ld(rd(X1,X0),unit),
inference(forward_demodulation,[status(thm)],[f35133,f36344]) ).
fof(f36349,plain,
! [X0,X1] : ld(f(X0),rd(X0,mult(X1,X0))) = ld(mult(X1,f(X0)),unit),
inference(paramodulation,[status(thm)],[f29110,f35549]) ).
fof(f36350,plain,
! [X0,X1] : rd(f(X0),mult(X1,X0)) = ld(mult(X1,f(X0)),unit),
inference(forward_demodulation,[status(thm)],[f35390,f36349]) ).
fof(f36450,plain,
! [X0,X1,X2] : mult(mult(X0,mult(X1,f(X2))),mult(X2,ld(mult(X1,f(X2)),unit))) = mult(mult(X0,mult(X1,X2)),rd(X2,mult(X1,X2))),
inference(backward_demodulation,[status(thm)],[f36350,f36035]) ).
fof(f36451,plain,
! [X0,X1,X2] : mult(mult(X0,mult(X1,f(X2))),rd(X2,mult(X1,f(X2)))) = mult(mult(X0,mult(X1,X2)),rd(X2,mult(X1,X2))),
inference(forward_demodulation,[status(thm)],[f33465,f36450]) ).
fof(f36452,plain,
! [X0,X1,X2] : mult(mult(X0,mult(X1,f(X2))),rd(f(X2),X1)) = mult(mult(X0,mult(X1,X2)),rd(X2,mult(X1,X2))),
inference(forward_demodulation,[status(thm)],[f29115,f36451]) ).
fof(f36453,plain,
! [X0,X1,X2] : mult(mult(X0,X1),mult(f(X2),rd(f(X2),X1))) = mult(mult(X0,mult(X1,X2)),rd(X2,mult(X1,X2))),
inference(forward_demodulation,[status(thm)],[f2718,f36452]) ).
fof(f36454,plain,
! [X0,X1,X2] : mult(mult(X0,X1),rd(X2,X1)) = mult(mult(X0,mult(X1,X2)),rd(X2,mult(X1,X2))),
inference(forward_demodulation,[status(thm)],[f35133,f36453]) ).
fof(f36782,plain,
! [X0,X1] : rd(X0,mult(X1,X0)) = ld(X1,unit),
inference(paramodulation,[status(thm)],[f18,f36345]) ).
fof(f36998,plain,
! [X0,X1,X2] : mult(mult(X0,X1),rd(X2,X1)) = mult(mult(X0,mult(X1,X2)),ld(X1,unit)),
inference(backward_demodulation,[status(thm)],[f36782,f36454]) ).
fof(f36999,plain,
! [X0,X1,X2] : mult(mult(X0,X1),rd(X2,X1)) = rd(mult(X0,mult(X1,X2)),X1),
inference(forward_demodulation,[status(thm)],[f33465,f36998]) ).
fof(f37465,plain,
! [X0,X1,X2] : mult(mult(mult(X0,X1),X2),rd(mult(X1,X2),X2)) = mult(X0,mult(X1,mult(X2,X1))),
inference(backward_demodulation,[status(thm)],[f36999,f2724]) ).
fof(f37466,plain,
! [X0,X1,X2] : mult(mult(mult(X0,X1),X2),X1) = mult(X0,mult(X1,mult(X2,X1))),
inference(forward_demodulation,[status(thm)],[f18,f37465]) ).
fof(f37571,plain,
! [X0,X1,X2] :
( mult(X0,mult(X1,mult(X2,X1))) != mult(X0,mult(X1,mult(X2,X1)))
| mult(X1,mult(X0,mult(X1,X2))) = mult(mult(X1,mult(X0,X1)),X2) ),
inference(backward_demodulation,[status(thm)],[f37466,f31]) ).
fof(f37572,plain,
! [X0,X1,X2] : mult(X0,mult(X1,mult(X0,X2))) = mult(mult(X0,mult(X1,X0)),X2),
inference(trivial_equality_resolution,[status(esa)],[f37571]) ).
fof(f37665,plain,
mult(a,mult(b,mult(a,c))) != mult(a,mult(b,mult(a,c))),
inference(backward_demodulation,[status(thm)],[f37572,f35]) ).
fof(f37666,plain,
$false,
inference(trivial_equality_resolution,[status(esa)],[f37665]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP667+1 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.34 % Computer : n008.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Apr 30 00:22:28 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.12/0.35 % Drodi V3.6.0
% 253.15/32.24 % Refutation found
% 253.15/32.24 % SZS status Theorem for theBenchmark: Theorem is valid
% 253.15/32.24 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 256.56/32.75 % Elapsed time: 32.346418 seconds
% 256.56/32.75 % CPU time: 255.696394 seconds
% 256.56/32.75 % Total memory used: 2.457 GB
% 256.56/32.75 % Net memory used: 2.425 GB
%------------------------------------------------------------------------------