TSTP Solution File: GRP731-1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GRP731-1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n005.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 : Wed May 31 12:12:37 EDT 2023
% Result : Unsatisfiable 4.68s 1.14s
% Output : CNFRefutation 5.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 14
% Syntax : Number of formulae : 83 ( 83 unt; 0 def)
% Number of atoms : 83 ( 82 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 5 con; 0-3 aty)
% Number of variables : 188 (; 188 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A] : mult(unit,A) = A,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [A] : mult(A,unit) = A,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [A] : mult(A,i(A)) = unit,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [A] : mult(i(A),A) = unit,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [A,B] : i(mult(A,B)) = mult(i(A),i(B)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [A,B] : mult(i(A),mult(A,B)) = B,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [A,B] : rd(mult(A,B),B) = A,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [A,B] : mult(rd(A,B),B) = A,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,axiom,
! [A,B,C] : mult(mult(A,B),C) = mult(mult(A,mult(B,C)),asoc(A,B,C)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,axiom,
! [A,B] : mult(A,B) = mult(mult(B,A),op_k(A,B)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,axiom,
! [A,B] : op_t(A,B) = mult(i(B),mult(A,B)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f21,axiom,
! [A,B,C,D,E] : asoc(asoc(A,B,C),D,E) = unit,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f22,axiom,
! [A,B,C,D,E] : asoc(A,B,asoc(C,D,E)) = unit,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f23,negated_conjecture,
op_k(asoc(a,b,c),d) != unit,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f24,plain,
! [X0] : mult(unit,X0) = X0,
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f25,plain,
! [X0] : mult(X0,unit) = X0,
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f26,plain,
! [X0] : mult(X0,i(X0)) = unit,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f27,plain,
! [X0] : mult(i(X0),X0) = unit,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f28,plain,
! [X0,X1] : i(mult(X0,X1)) = mult(i(X0),i(X1)),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f29,plain,
! [X0,X1] : mult(i(X0),mult(X0,X1)) = X1,
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f30,plain,
! [X0,X1] : rd(mult(X0,X1),X1) = X0,
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f31,plain,
! [X0,X1] : mult(rd(X0,X1),X1) = X0,
inference(cnf_transformation,[status(esa)],[f8]) ).
fof(f33,plain,
! [X0,X1,X2] : mult(mult(X0,X1),X2) = mult(mult(X0,mult(X1,X2)),asoc(X0,X1,X2)),
inference(cnf_transformation,[status(esa)],[f10]) ).
fof(f34,plain,
! [X0,X1] : mult(X0,X1) = mult(mult(X1,X0),op_k(X0,X1)),
inference(cnf_transformation,[status(esa)],[f11]) ).
fof(f37,plain,
! [X0,X1] : op_t(X0,X1) = mult(i(X1),mult(X0,X1)),
inference(cnf_transformation,[status(esa)],[f14]) ).
fof(f44,plain,
! [X0,X1,X2,X3,X4] : asoc(asoc(X0,X1,X2),X3,X4) = unit,
inference(cnf_transformation,[status(esa)],[f21]) ).
fof(f45,plain,
! [X0,X1,X2,X3,X4] : asoc(X0,X1,asoc(X2,X3,X4)) = unit,
inference(cnf_transformation,[status(esa)],[f22]) ).
fof(f46,plain,
op_k(asoc(a,b,c),d) != unit,
inference(cnf_transformation,[status(esa)],[f23]) ).
fof(f47,plain,
i(unit) = unit,
inference(paramodulation,[status(thm)],[f24,f26]) ).
fof(f51,plain,
! [X0,X1] : mult(mult(i(mult(X0,X1)),X0),X1) = mult(unit,asoc(i(mult(X0,X1)),X0,X1)),
inference(paramodulation,[status(thm)],[f27,f33]) ).
fof(f52,plain,
! [X0,X1] : mult(mult(i(mult(X0,X1)),X0),X1) = asoc(i(mult(X0,X1)),X0,X1),
inference(forward_demodulation,[status(thm)],[f24,f51]) ).
fof(f67,plain,
! [X0,X1,X2,X3,X4] : mult(mult(asoc(X0,X1,X2),X3),X4) = mult(mult(asoc(X0,X1,X2),mult(X3,X4)),unit),
inference(paramodulation,[status(thm)],[f44,f33]) ).
fof(f68,plain,
! [X0,X1,X2,X3,X4] : mult(mult(asoc(X0,X1,X2),X3),X4) = mult(asoc(X0,X1,X2),mult(X3,X4)),
inference(forward_demodulation,[status(thm)],[f25,f67]) ).
fof(f78,plain,
! [X0,X1,X2,X3,X4] : mult(mult(X0,X1),asoc(X2,X3,X4)) = mult(mult(X0,mult(X1,asoc(X2,X3,X4))),unit),
inference(paramodulation,[status(thm)],[f45,f33]) ).
fof(f79,plain,
! [X0,X1,X2,X3,X4] : mult(mult(X0,X1),asoc(X2,X3,X4)) = mult(X0,mult(X1,asoc(X2,X3,X4))),
inference(forward_demodulation,[status(thm)],[f25,f78]) ).
fof(f195,plain,
! [X0] : rd(X0,unit) = X0,
inference(paramodulation,[status(thm)],[f25,f31]) ).
fof(f203,plain,
! [X0,X1] : rd(mult(X0,X1),op_k(X0,X1)) = mult(X1,X0),
inference(paramodulation,[status(thm)],[f34,f30]) ).
fof(f204,plain,
! [X0] : rd(unit,X0) = i(X0),
inference(paramodulation,[status(thm)],[f27,f30]) ).
fof(f208,plain,
! [X0] : rd(unit,i(X0)) = X0,
inference(paramodulation,[status(thm)],[f26,f30]) ).
fof(f209,plain,
! [X0] : i(i(X0)) = X0,
inference(forward_demodulation,[status(thm)],[f204,f208]) ).
fof(f257,plain,
! [X0,X1] : mult(X0,mult(i(X0),X1)) = X1,
inference(paramodulation,[status(thm)],[f209,f29]) ).
fof(f262,plain,
! [X0,X1] : mult(i(mult(X0,X1)),mult(X1,X0)) = op_k(X1,X0),
inference(paramodulation,[status(thm)],[f34,f29]) ).
fof(f277,plain,
! [X0,X1] : mult(mult(i(X0),i(X1)),mult(X1,X0)) = asoc(i(mult(i(X1),mult(X1,X0))),i(X1),mult(X1,X0)),
inference(paramodulation,[status(thm)],[f29,f52]) ).
fof(f278,plain,
! [X0,X1] : mult(i(mult(X0,X1)),mult(X1,X0)) = asoc(i(mult(i(X1),mult(X1,X0))),i(X1),mult(X1,X0)),
inference(forward_demodulation,[status(thm)],[f28,f277]) ).
fof(f279,plain,
! [X0,X1] : op_k(X0,X1) = asoc(i(mult(i(X0),mult(X0,X1))),i(X0),mult(X0,X1)),
inference(forward_demodulation,[status(thm)],[f262,f278]) ).
fof(f280,plain,
! [X0,X1] : op_k(X0,X1) = asoc(i(X1),i(X0),mult(X0,X1)),
inference(forward_demodulation,[status(thm)],[f29,f279]) ).
fof(f384,plain,
! [X0,X1] : i(mult(i(X0),X1)) = mult(X0,i(X1)),
inference(paramodulation,[status(thm)],[f209,f28]) ).
fof(f387,plain,
! [X0,X1] : i(mult(X0,i(X1))) = mult(i(X0),X1),
inference(paramodulation,[status(thm)],[f209,f28]) ).
fof(f392,plain,
! [X0,X1] : mult(X0,i(mult(X0,X1))) = i(X1),
inference(paramodulation,[status(thm)],[f28,f257]) ).
fof(f629,plain,
! [X0,X1] : mult(mult(X0,X1),i(mult(X1,X0))) = i(op_k(X1,X0)),
inference(paramodulation,[status(thm)],[f34,f392]) ).
fof(f1034,plain,
! [X0,X1,X2,X3] : unit = mult(asoc(X0,X1,X2),mult(X3,i(mult(asoc(X0,X1,X2),X3)))),
inference(paramodulation,[status(thm)],[f26,f68]) ).
fof(f1163,plain,
! [X0,X1,X2,X3] : mult(mult(X0,X1),op_k(X2,X3)) = mult(X0,mult(X1,asoc(i(X3),i(X2),mult(X2,X3)))),
inference(paramodulation,[status(thm)],[f280,f79]) ).
fof(f1164,plain,
! [X0,X1,X2,X3] : mult(mult(X0,X1),op_k(X2,X3)) = mult(X0,mult(X1,op_k(X2,X3))),
inference(forward_demodulation,[status(thm)],[f280,f1163]) ).
fof(f1210,plain,
! [X0,X1] : mult(X0,X1) = mult(X1,mult(X0,op_k(X0,X1))),
inference(backward_demodulation,[status(thm)],[f1164,f34]) ).
fof(f1291,plain,
! [X0,X1] : op_t(i(X0),i(X1)) = mult(i(i(X1)),i(mult(X0,X1))),
inference(paramodulation,[status(thm)],[f28,f37]) ).
fof(f1292,plain,
! [X0,X1] : op_t(i(X0),i(X1)) = i(mult(i(X1),mult(X0,X1))),
inference(forward_demodulation,[status(thm)],[f28,f1291]) ).
fof(f1293,plain,
! [X0,X1] : op_t(i(X0),i(X1)) = mult(X1,i(mult(X0,X1))),
inference(forward_demodulation,[status(thm)],[f384,f1292]) ).
fof(f1316,plain,
! [X0,X1] : mult(X0,op_t(X1,X0)) = mult(X1,X0),
inference(paramodulation,[status(thm)],[f37,f257]) ).
fof(f1336,plain,
! [X0,X1,X2,X3] : unit = mult(asoc(X0,X1,X2),op_t(i(asoc(X0,X1,X2)),i(X3))),
inference(backward_demodulation,[status(thm)],[f1293,f1034]) ).
fof(f1663,plain,
! [X0,X1] : mult(X0,i(mult(X1,X0))) = i(mult(X1,op_k(X1,X0))),
inference(paramodulation,[status(thm)],[f1210,f392]) ).
fof(f1664,plain,
! [X0,X1] : op_t(i(X0),i(X1)) = i(mult(X0,op_k(X0,X1))),
inference(forward_demodulation,[status(thm)],[f1293,f1663]) ).
fof(f1669,plain,
! [X0,X1] : mult(i(X0),mult(X1,X0)) = mult(X1,op_k(X1,X0)),
inference(paramodulation,[status(thm)],[f1210,f29]) ).
fof(f1670,plain,
! [X0,X1] : op_t(X0,X1) = mult(X0,op_k(X0,X1)),
inference(forward_demodulation,[status(thm)],[f37,f1669]) ).
fof(f1691,plain,
! [X0,X1] : op_t(i(X0),i(X1)) = i(op_t(X0,X1)),
inference(backward_demodulation,[status(thm)],[f1670,f1664]) ).
fof(f1696,plain,
! [X0,X1,X2,X3] : unit = mult(asoc(X0,X1,X2),i(op_t(asoc(X0,X1,X2),X3))),
inference(backward_demodulation,[status(thm)],[f1691,f1336]) ).
fof(f1731,plain,
! [X0,X1] : mult(X0,i(op_t(X0,X1))) = i(op_k(X0,X1)),
inference(paramodulation,[status(thm)],[f1670,f392]) ).
fof(f1745,plain,
! [X0,X1,X2,X3] : unit = i(op_k(asoc(X0,X1,X2),X3)),
inference(backward_demodulation,[status(thm)],[f1731,f1696]) ).
fof(f3982,plain,
! [X0,X1] : mult(i(mult(mult(X0,X1),i(mult(X1,X0)))),op_k(X0,X1)) = op_k(i(mult(X1,X0)),mult(X0,X1)),
inference(paramodulation,[status(thm)],[f262,f262]) ).
fof(f3983,plain,
! [X0,X1] : mult(mult(i(mult(X0,X1)),mult(X1,X0)),op_k(X0,X1)) = op_k(i(mult(X1,X0)),mult(X0,X1)),
inference(forward_demodulation,[status(thm)],[f387,f3982]) ).
fof(f3984,plain,
! [X0,X1] : mult(i(mult(X0,X1)),mult(mult(X1,X0),op_k(X0,X1))) = op_k(i(mult(X1,X0)),mult(X0,X1)),
inference(forward_demodulation,[status(thm)],[f1164,f3983]) ).
fof(f3985,plain,
! [X0,X1] : mult(i(mult(X0,X1)),mult(X1,mult(X0,op_k(X0,X1)))) = op_k(i(mult(X1,X0)),mult(X0,X1)),
inference(forward_demodulation,[status(thm)],[f1164,f3984]) ).
fof(f3986,plain,
! [X0,X1] : mult(i(mult(X0,X1)),mult(X1,op_t(X0,X1))) = op_k(i(mult(X1,X0)),mult(X0,X1)),
inference(forward_demodulation,[status(thm)],[f1670,f3985]) ).
fof(f3987,plain,
! [X0,X1] : mult(i(mult(X0,X1)),mult(X0,X1)) = op_k(i(mult(X1,X0)),mult(X0,X1)),
inference(forward_demodulation,[status(thm)],[f1316,f3986]) ).
fof(f3988,plain,
! [X0,X1] : unit = op_k(i(mult(X0,X1)),mult(X1,X0)),
inference(forward_demodulation,[status(thm)],[f27,f3987]) ).
fof(f4043,plain,
! [X0,X1] : rd(op_k(X0,X1),op_k(i(mult(X1,X0)),mult(X0,X1))) = mult(mult(X0,X1),i(mult(X1,X0))),
inference(paramodulation,[status(thm)],[f262,f203]) ).
fof(f4044,plain,
! [X0,X1] : rd(op_k(X0,X1),unit) = mult(mult(X0,X1),i(mult(X1,X0))),
inference(forward_demodulation,[status(thm)],[f3988,f4043]) ).
fof(f4045,plain,
! [X0,X1] : op_k(X0,X1) = mult(mult(X0,X1),i(mult(X1,X0))),
inference(forward_demodulation,[status(thm)],[f195,f4044]) ).
fof(f4046,plain,
! [X0,X1] : op_k(X0,X1) = i(op_k(X1,X0)),
inference(forward_demodulation,[status(thm)],[f629,f4045]) ).
fof(f4081,plain,
! [X0,X1,X2,X3] : unit = op_k(X0,asoc(X1,X2,X3)),
inference(backward_demodulation,[status(thm)],[f4046,f1745]) ).
fof(f4408,plain,
! [X0,X1,X2,X3] : op_k(asoc(X0,X1,X2),X3) = i(unit),
inference(paramodulation,[status(thm)],[f4081,f4046]) ).
fof(f4409,plain,
! [X0,X1,X2,X3] : op_k(asoc(X0,X1,X2),X3) = unit,
inference(forward_demodulation,[status(thm)],[f47,f4408]) ).
fof(f4469,plain,
unit != unit,
inference(backward_demodulation,[status(thm)],[f4409,f46]) ).
fof(f4470,plain,
$false,
inference(trivial_equality_resolution,[status(esa)],[f4469]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10 % Problem : GRP731-1 : TPTP v8.1.2. Released v4.0.0.
% 0.05/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.31 % Computer : n005.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Tue May 30 11:26:06 EDT 2023
% 0.10/0.31 % CPUTime :
% 0.10/0.31 % Drodi V3.5.1
% 4.68/1.14 % Refutation found
% 4.68/1.14 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 4.68/1.14 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 5.53/1.20 % Elapsed time: 0.878538 seconds
% 5.53/1.20 % CPU time: 5.591206 seconds
% 5.53/1.20 % Memory used: 114.229 MB
%------------------------------------------------------------------------------