TSTP Solution File: GRP728-1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GRP728-1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n016.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 20:21:31 EDT 2024
% Result : Unsatisfiable 45.01s 6.11s
% Output : CNFRefutation 46.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 15
% Syntax : Number of formulae : 69 ( 69 unt; 0 def)
% Number of atoms : 69 ( 68 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; 4 con; 0-3 aty)
% Number of variables : 156 ( 156 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [A] : mult(A,unit) = A,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [A] : mult(A,i(A)) = unit,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [A] : mult(i(A),A) = unit,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [A,B] : i(mult(A,B)) = mult(i(A),i(B)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [A,B] : mult(i(A),mult(A,B)) = B,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [A,B] : rd(mult(A,B),B) = A,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [A,B] : mult(rd(A,B),B) = A,
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p') ).
fof(f11,axiom,
! [A,B] : mult(A,B) = mult(mult(B,A),op_k(A,B)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,axiom,
! [A,B,C] : op_l(A,B,C) = mult(i(mult(C,B)),mult(C,mult(B,A))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,axiom,
! [A,B] : op_t(A,B) = mult(i(B),mult(A,B)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f19,axiom,
! [A,B,C,D] : op_t(op_l(A,B,C),D) = op_l(op_t(A,D),B,C),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f21,axiom,
! [A,B,C,D,E] : asoc(asoc(A,B,C),D,E) = unit,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f22,axiom,
! [A,B,C,D,E] : asoc(A,B,asoc(C,D,E)) = unit,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f23,negated_conjecture,
op_k(op_k(a,b),c) != unit,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
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(f35,plain,
! [X0,X1,X2] : op_l(X0,X1,X2) = mult(i(mult(X2,X1)),mult(X2,mult(X1,X0))),
inference(cnf_transformation,[status(esa)],[f12]) ).
fof(f37,plain,
! [X0,X1] : op_t(X0,X1) = mult(i(X1),mult(X0,X1)),
inference(cnf_transformation,[status(esa)],[f14]) ).
fof(f42,plain,
! [X0,X1,X2,X3] : op_t(op_l(X0,X1,X2),X3) = op_l(op_t(X0,X3),X1,X2),
inference(cnf_transformation,[status(esa)],[f19]) ).
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(op_k(a,b),c) != unit,
inference(cnf_transformation,[status(esa)],[f23]) ).
fof(f190,plain,
! [X0,X1] : mult(i(mult(X0,X1)),mult(X1,X0)) = op_k(X1,X0),
inference(paramodulation,[status(thm)],[f34,f29]) ).
fof(f192,plain,
! [X0] : mult(i(i(X0)),unit) = X0,
inference(paramodulation,[status(thm)],[f27,f29]) ).
fof(f193,plain,
! [X0] : i(i(X0)) = X0,
inference(forward_demodulation,[status(thm)],[f25,f192]) ).
fof(f208,plain,
! [X0,X1] : mult(X0,mult(i(X0),X1)) = X1,
inference(paramodulation,[status(thm)],[f193,f29]) ).
fof(f248,plain,
! [X0,X1] : op_t(X0,i(X1)) = mult(X1,mult(X0,i(X1))),
inference(paramodulation,[status(thm)],[f193,f37]) ).
fof(f263,plain,
! [X0] : op_t(X0,i(X0)) = mult(i(i(X0)),unit),
inference(paramodulation,[status(thm)],[f26,f37]) ).
fof(f264,plain,
! [X0] : op_t(X0,i(X0)) = i(i(X0)),
inference(forward_demodulation,[status(thm)],[f25,f263]) ).
fof(f265,plain,
! [X0] : op_t(X0,i(X0)) = X0,
inference(forward_demodulation,[status(thm)],[f193,f264]) ).
fof(f300,plain,
! [X0,X1] : i(mult(i(X0),X1)) = mult(X0,i(X1)),
inference(paramodulation,[status(thm)],[f193,f28]) ).
fof(f303,plain,
! [X0,X1] : i(mult(X0,i(X1))) = mult(i(X0),X1),
inference(paramodulation,[status(thm)],[f193,f28]) ).
fof(f306,plain,
! [X0,X1] : mult(X0,i(mult(X0,X1))) = i(X1),
inference(paramodulation,[status(thm)],[f28,f208]) ).
fof(f393,plain,
! [X0,X1] : mult(rd(X0,X1),i(X0)) = i(X1),
inference(paramodulation,[status(thm)],[f31,f306]) ).
fof(f675,plain,
! [X0,X1] : op_t(rd(X0,X1),i(X0)) = mult(X0,i(X1)),
inference(paramodulation,[status(thm)],[f393,f248]) ).
fof(f1162,plain,
! [X0,X1,X2,X3] : mult(mult(X0,mult(X1,mult(X2,X3))),asoc(X1,X2,X3)) = mult(mult(X0,mult(mult(X1,X2),X3)),asoc(X0,mult(X1,mult(X2,X3)),asoc(X1,X2,X3))),
inference(paramodulation,[status(thm)],[f33,f33]) ).
fof(f1251,plain,
! [X0,X1] : op_l(X0,X1,i(mult(X1,X0))) = mult(i(mult(i(mult(X1,X0)),X1)),unit),
inference(paramodulation,[status(thm)],[f27,f35]) ).
fof(f1252,plain,
! [X0,X1] : op_l(X0,X1,i(mult(X1,X0))) = i(mult(i(mult(X1,X0)),X1)),
inference(forward_demodulation,[status(thm)],[f25,f1251]) ).
fof(f1253,plain,
! [X0,X1] : op_l(X0,X1,i(mult(X1,X0))) = mult(mult(X1,X0),i(X1)),
inference(forward_demodulation,[status(thm)],[f300,f1252]) ).
fof(f24470,plain,
! [X0,X1] : op_l(i(mult(X0,X1)),X0,i(i(X1))) = mult(mult(X0,i(mult(X0,X1))),i(X0)),
inference(paramodulation,[status(thm)],[f306,f1253]) ).
fof(f24471,plain,
! [X0,X1] : op_l(i(mult(X0,X1)),X0,X1) = mult(mult(X0,i(mult(X0,X1))),i(X0)),
inference(forward_demodulation,[status(thm)],[f193,f24470]) ).
fof(f24472,plain,
! [X0,X1] : op_l(i(mult(X0,X1)),X0,X1) = mult(i(X1),i(X0)),
inference(forward_demodulation,[status(thm)],[f306,f24471]) ).
fof(f24473,plain,
! [X0,X1] : op_l(i(mult(X0,X1)),X0,X1) = i(mult(X1,X0)),
inference(forward_demodulation,[status(thm)],[f28,f24472]) ).
fof(f40158,plain,
! [X0,X1,X2,X3] : mult(mult(X0,mult(X1,mult(X2,X3))),asoc(X1,X2,X3)) = mult(mult(X0,mult(mult(X1,X2),X3)),unit),
inference(forward_demodulation,[status(thm)],[f45,f1162]) ).
fof(f40159,plain,
! [X0,X1,X2,X3] : mult(mult(X0,mult(X1,mult(X2,X3))),asoc(X1,X2,X3)) = mult(X0,mult(mult(X1,X2),X3)),
inference(forward_demodulation,[status(thm)],[f25,f40158]) ).
fof(f40226,plain,
! [X0,X1,X2] : mult(op_l(X0,X1,X2),asoc(X2,X1,X0)) = mult(i(mult(X2,X1)),mult(mult(X2,X1),X0)),
inference(paramodulation,[status(thm)],[f35,f40159]) ).
fof(f40227,plain,
! [X0,X1,X2] : mult(op_l(X0,X1,X2),asoc(X2,X1,X0)) = X0,
inference(forward_demodulation,[status(thm)],[f29,f40226]) ).
fof(f42531,plain,
! [X0,X1,X2] : rd(X0,asoc(X1,X2,X0)) = op_l(X0,X2,X1),
inference(paramodulation,[status(thm)],[f40227,f30]) ).
fof(f47757,plain,
! [X0,X1,X2] : op_t(op_l(X0,X1,X2),i(X0)) = mult(X0,i(asoc(X2,X1,X0))),
inference(paramodulation,[status(thm)],[f42531,f675]) ).
fof(f47758,plain,
! [X0,X1,X2] : op_l(op_t(X0,i(X0)),X1,X2) = mult(X0,i(asoc(X2,X1,X0))),
inference(forward_demodulation,[status(thm)],[f42,f47757]) ).
fof(f47759,plain,
! [X0,X1,X2] : op_l(X0,X1,X2) = mult(X0,i(asoc(X2,X1,X0))),
inference(forward_demodulation,[status(thm)],[f265,f47758]) ).
fof(f53524,plain,
! [X0,X1,X2] : mult(X0,i(op_l(X0,X1,X2))) = i(i(asoc(X2,X1,X0))),
inference(paramodulation,[status(thm)],[f47759,f306]) ).
fof(f53525,plain,
! [X0,X1,X2] : mult(X0,i(op_l(X0,X1,X2))) = asoc(X2,X1,X0),
inference(forward_demodulation,[status(thm)],[f193,f53524]) ).
fof(f65272,plain,
! [X0,X1] : mult(i(mult(X0,X1)),i(i(mult(X1,X0)))) = asoc(X1,X0,i(mult(X0,X1))),
inference(paramodulation,[status(thm)],[f24473,f53525]) ).
fof(f65273,plain,
! [X0,X1] : i(mult(mult(X0,X1),i(mult(X1,X0)))) = asoc(X1,X0,i(mult(X0,X1))),
inference(forward_demodulation,[status(thm)],[f28,f65272]) ).
fof(f65274,plain,
! [X0,X1] : mult(i(mult(X0,X1)),mult(X1,X0)) = asoc(X1,X0,i(mult(X0,X1))),
inference(forward_demodulation,[status(thm)],[f303,f65273]) ).
fof(f65275,plain,
! [X0,X1] : op_k(X0,X1) = asoc(X0,X1,i(mult(X1,X0))),
inference(forward_demodulation,[status(thm)],[f190,f65274]) ).
fof(f65758,plain,
! [X0,X1,X2,X3] : op_k(asoc(X0,X1,X2),X3) = unit,
inference(paramodulation,[status(thm)],[f44,f65275]) ).
fof(f67135,plain,
! [X0,X1,X2] : op_k(op_k(X0,X1),X2) = unit,
inference(paramodulation,[status(thm)],[f65275,f65758]) ).
fof(f67195,plain,
unit != unit,
inference(backward_demodulation,[status(thm)],[f67135,f46]) ).
fof(f67196,plain,
$false,
inference(trivial_equality_resolution,[status(esa)],[f67195]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : GRP728-1 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.34 % Computer : n016.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Apr 30 01:05:55 EDT 2024
% 0.14/0.34 % CPUTime :
% 0.14/0.35 % Drodi V3.6.0
% 45.01/6.11 % Refutation found
% 45.01/6.11 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 45.01/6.11 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 47.17/6.31 % Elapsed time: 5.941588 seconds
% 47.17/6.31 % CPU time: 46.655308 seconds
% 47.17/6.31 % Total memory used: 1.001 GB
% 47.17/6.31 % Net memory used: 976.440 MB
%------------------------------------------------------------------------------