TSTP Solution File: GRP659-10 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GRP659-10 : TPTP v8.1.2. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n002.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 20:21:18 EDT 2024
% Result : Unsatisfiable 17.57s 2.61s
% Output : CNFRefutation 17.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 33
% Number of leaves : 6
% Syntax : Number of formulae : 57 ( 57 unt; 0 def)
% Number of atoms : 57 ( 56 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 0 con; 1-2 aty)
% Number of variables : 118 ( 118 !; 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,B,C] : mult(mult(A,mult(B,C)),B) = mult(mult(A,B),mult(C,B)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,negated_conjecture,
! [X0] : tuple(mult(X0,x1(X0)),mult(x1_2(X0),X0)) != tuple(x1(X0),x1_2(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,plain,
! [X0,X1] : mult(X0,ld(X0,X1)) = X1,
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f8,plain,
! [X0,X1] : ld(X0,mult(X0,X1)) = X1,
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f9,plain,
! [X0,X1] : mult(rd(X0,X1),X1) = X0,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f10,plain,
! [X0,X1] : rd(mult(X0,X1),X1) = X0,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f11,plain,
! [X0,X1,X2] : mult(mult(X0,mult(X1,X2)),X1) = mult(mult(X0,X1),mult(X2,X1)),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f12,plain,
! [X0] : tuple(mult(X0,x1(X0)),mult(x1_2(X0),X0)) != tuple(x1(X0),x1_2(X0)),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f13,plain,
! [X0,X1] : ld(rd(X0,X1),X0) = X1,
inference(paramodulation,[status(thm)],[f9,f8]) ).
fof(f14,plain,
! [X0,X1] : rd(X0,ld(X1,X0)) = X1,
inference(paramodulation,[status(thm)],[f7,f10]) ).
fof(f21,plain,
! [X0,X1,X2] : mult(mult(X0,X1),X2) = mult(mult(X0,X2),mult(ld(X2,X1),X2)),
inference(paramodulation,[status(thm)],[f7,f11]) ).
fof(f22,plain,
! [X0,X1,X2] : rd(mult(mult(X0,X1),mult(X2,X1)),X1) = mult(X0,mult(X1,X2)),
inference(paramodulation,[status(thm)],[f11,f10]) ).
fof(f23,plain,
! [X0,X1,X2] : ld(mult(X0,mult(X1,X2)),mult(mult(X0,X1),mult(X2,X1))) = X1,
inference(paramodulation,[status(thm)],[f11,f8]) ).
fof(f44,plain,
! [X0,X1,X2] : mult(mult(rd(X0,X1),X2),X1) = mult(X0,mult(ld(X1,X2),X1)),
inference(paramodulation,[status(thm)],[f9,f21]) ).
fof(f69,plain,
! [X0,X1,X2] : rd(mult(mult(X0,X1),X2),X1) = mult(X0,mult(X1,rd(X2,X1))),
inference(paramodulation,[status(thm)],[f9,f22]) ).
fof(f143,plain,
! [X0,X1] : mult(X0,X1) = mult(X0,mult(X1,rd(X1,X1))),
inference(paramodulation,[status(thm)],[f10,f69]) ).
fof(f153,plain,
! [X0,X1,X2] : rd(X0,X1) = mult(X2,mult(X1,rd(ld(mult(X2,X1),X0),X1))),
inference(paramodulation,[status(thm)],[f7,f69]) ).
fof(f220,plain,
! [X0,X1] : ld(X0,mult(X0,X1)) = mult(X1,rd(X1,X1)),
inference(paramodulation,[status(thm)],[f143,f8]) ).
fof(f221,plain,
! [X0] : X0 = mult(X0,rd(X0,X0)),
inference(forward_demodulation,[status(thm)],[f8,f220]) ).
fof(f353,plain,
! [X0] : ld(X0,X0) = rd(X0,X0),
inference(paramodulation,[status(thm)],[f221,f8]) ).
fof(f1608,plain,
! [X0,X1,X2] : rd(mult(X0,mult(ld(X1,X2),X1)),X1) = mult(rd(X0,X1),X2),
inference(paramodulation,[status(thm)],[f44,f10]) ).
fof(f1629,plain,
! [X0,X1,X2] : rd(X0,X1) = mult(rd(rd(X0,mult(ld(X1,X2),X1)),X1),X2),
inference(paramodulation,[status(thm)],[f9,f1608]) ).
fof(f1680,plain,
! [X0,X1,X2] : rd(X0,X1) = mult(rd(rd(X0,mult(X2,X1)),X1),mult(X1,X2)),
inference(paramodulation,[status(thm)],[f8,f1629]) ).
fof(f1765,plain,
! [X0,X1] : rd(mult(X0,X1),X1) = mult(rd(ld(mult(X0,X1),mult(X0,X1)),X1),mult(X1,X0)),
inference(paramodulation,[status(thm)],[f353,f1680]) ).
fof(f1766,plain,
! [X0,X1] : X0 = mult(rd(ld(mult(X0,X1),mult(X0,X1)),X1),mult(X1,X0)),
inference(forward_demodulation,[status(thm)],[f10,f1765]) ).
fof(f2313,plain,
! [X0,X1] : rd(X0,mult(X1,X0)) = rd(ld(mult(X0,X1),mult(X0,X1)),X1),
inference(paramodulation,[status(thm)],[f1766,f10]) ).
fof(f2388,plain,
! [X0,X1] : rd(mult(X0,X1),X1) = mult(X0,mult(X1,rd(X0,mult(X1,X0)))),
inference(paramodulation,[status(thm)],[f2313,f153]) ).
fof(f2389,plain,
! [X0,X1] : X0 = mult(X0,mult(X1,rd(X0,mult(X1,X0)))),
inference(forward_demodulation,[status(thm)],[f10,f2388]) ).
fof(f2502,plain,
! [X0,X1,X2] : ld(mult(X0,X1),mult(mult(X0,X1),mult(mult(X2,rd(X1,mult(X2,X1))),X1))) = X1,
inference(paramodulation,[status(thm)],[f2389,f23]) ).
fof(f2503,plain,
! [X0,X1] : mult(mult(X0,rd(X1,mult(X0,X1))),X1) = X1,
inference(forward_demodulation,[status(thm)],[f8,f2502]) ).
fof(f2536,plain,
! [X0,X1] : ld(X0,X0) = mult(X1,rd(X0,mult(X1,X0))),
inference(paramodulation,[status(thm)],[f2389,f8]) ).
fof(f2537,plain,
! [X0,X1] : mult(X0,mult(ld(X1,rd(X1,mult(rd(X0,X1),X1))),X1)) = X1,
inference(paramodulation,[status(thm)],[f44,f2503]) ).
fof(f2538,plain,
! [X0,X1] : mult(X0,mult(ld(X1,rd(X1,X0)),X1)) = X1,
inference(forward_demodulation,[status(thm)],[f9,f2537]) ).
fof(f3055,plain,
! [X0,X1] : ld(X0,ld(X1,X1)) = rd(X1,mult(X0,X1)),
inference(paramodulation,[status(thm)],[f2536,f8]) ).
fof(f4989,plain,
! [X0,X1] : ld(X0,X1) = mult(ld(X1,rd(X1,X0)),X1),
inference(paramodulation,[status(thm)],[f2538,f8]) ).
fof(f5061,plain,
! [X0,X1] : ld(X0,X0) = mult(ld(X0,rd(X0,X1)),rd(X0,ld(X1,X0))),
inference(paramodulation,[status(thm)],[f4989,f2536]) ).
fof(f5062,plain,
! [X0,X1] : ld(X0,X0) = mult(ld(X0,rd(X0,X1)),X1),
inference(forward_demodulation,[status(thm)],[f14,f5061]) ).
fof(f5309,plain,
! [X0,X1] : ld(X0,X0) = mult(ld(X0,X1),ld(X1,X0)),
inference(paramodulation,[status(thm)],[f14,f5062]) ).
fof(f5649,plain,
! [X0,X1] : ld(X0,X0) = mult(X1,ld(mult(X0,X1),X0)),
inference(paramodulation,[status(thm)],[f8,f5309]) ).
fof(f5781,plain,
! [X0,X1] : ld(ld(X0,X1),ld(X0,X0)) = ld(X1,X0),
inference(paramodulation,[status(thm)],[f5309,f8]) ).
fof(f5896,plain,
! [X0,X1] : ld(X0,ld(X1,X1)) = ld(mult(X1,X0),X1),
inference(paramodulation,[status(thm)],[f5649,f8]) ).
fof(f6553,plain,
! [X0,X1] : ld(ld(X0,ld(X1,X1)),X1) = mult(X0,X1),
inference(paramodulation,[status(thm)],[f3055,f13]) ).
fof(f12559,plain,
! [X0,X1] : ld(ld(X0,ld(ld(X1,X1),ld(X1,X1))),X1) = mult(mult(ld(X1,X1),X0),X1),
inference(paramodulation,[status(thm)],[f5896,f6553]) ).
fof(f12560,plain,
! [X0,X1] : ld(ld(X0,ld(X1,X1)),X1) = mult(mult(ld(X1,X1),X0),X1),
inference(forward_demodulation,[status(thm)],[f5781,f12559]) ).
fof(f12561,plain,
! [X0,X1] : mult(X0,X1) = mult(mult(ld(X1,X1),X0),X1),
inference(forward_demodulation,[status(thm)],[f6553,f12560]) ).
fof(f12723,plain,
! [X0,X1] : rd(mult(X0,X1),X1) = mult(ld(X1,X1),X0),
inference(paramodulation,[status(thm)],[f12561,f10]) ).
fof(f12724,plain,
! [X0,X1] : X0 = mult(ld(X1,X1),X0),
inference(forward_demodulation,[status(thm)],[f10,f12723]) ).
fof(f12880,plain,
! [X0,X1] : rd(X0,X0) = ld(X1,X1),
inference(paramodulation,[status(thm)],[f12724,f10]) ).
fof(f12881,plain,
! [X0,X1] : ld(X0,X0) = ld(X1,X1),
inference(forward_demodulation,[status(thm)],[f353,f12880]) ).
fof(f12920,plain,
! [X0,X1] : mult(X0,ld(X1,X1)) = X0,
inference(paramodulation,[status(thm)],[f12881,f7]) ).
fof(f12973,plain,
! [X0] : tuple(mult(ld(X0,X0),x1(ld(X0,X0))),x1_2(ld(X0,X0))) != tuple(x1(ld(X0,X0)),x1_2(ld(X0,X0))),
inference(paramodulation,[status(thm)],[f12920,f12]) ).
fof(f12974,plain,
! [X0] : tuple(x1(ld(X0,X0)),x1_2(ld(X0,X0))) != tuple(x1(ld(X0,X0)),x1_2(ld(X0,X0))),
inference(forward_demodulation,[status(thm)],[f12724,f12973]) ).
fof(f12975,plain,
$false,
inference(trivial_equality_resolution,[status(esa)],[f12974]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : GRP659-10 : TPTP v8.1.2. Released v8.1.0.
% 0.03/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.35 % Computer : n002.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Apr 30 00:44:40 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.21/0.37 % Drodi V3.6.0
% 17.57/2.61 % Refutation found
% 17.57/2.61 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 17.57/2.61 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 18.20/2.76 % Elapsed time: 2.383047 seconds
% 18.20/2.76 % CPU time: 18.170893 seconds
% 18.20/2.76 % Total memory used: 427.539 MB
% 18.20/2.76 % Net memory used: 425.611 MB
%------------------------------------------------------------------------------