TSTP Solution File: GRP704-11 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GRP704-11 : TPTP v8.1.2. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n004.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 12:12:35 EDT 2023
% Result : Unsatisfiable 0.11s 0.37s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 7
% Syntax : Number of formulae : 28 ( 28 unt; 0 def)
% Number of atoms : 28 ( 27 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 7 ( 7 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 6 con; 0-2 aty)
% Number of variables : 23 (; 23 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B] : mult(A,ld(A,B)) = B,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [A] : mult(A,unit) = A,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [A] : mult(unit,A) = A,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [A,B] : mult(A,mult(B,op_c)) = mult(mult(A,B),op_c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,axiom,
! [A] : op_d = ld(A,mult(op_c,A)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,axiom,
! [A,B] : op_f = mult(A,mult(B,ld(mult(A,B),op_c))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,negated_conjecture,
mult(x4,mult(x5,op_f)) != mult(mult(x4,x5),op_f),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,plain,
! [X0,X1] : mult(X0,ld(X0,X1)) = X1,
inference(cnf_transformation,[status(esa)],[f1]) ).
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(f23,plain,
! [X0,X1] : mult(X0,mult(X1,op_c)) = mult(mult(X0,X1),op_c),
inference(cnf_transformation,[status(esa)],[f9]) ).
fof(f25,plain,
! [X0] : op_d = ld(X0,mult(op_c,X0)),
inference(cnf_transformation,[status(esa)],[f11]) ).
fof(f27,plain,
! [X0,X1] : op_f = mult(X0,mult(X1,ld(mult(X0,X1),op_c))),
inference(cnf_transformation,[status(esa)],[f13]) ).
fof(f28,plain,
mult(x4,mult(x5,op_f)) != mult(mult(x4,x5),op_f),
inference(cnf_transformation,[status(esa)],[f14]) ).
fof(f29,plain,
! [X0] : ld(unit,X0) = X0,
inference(paramodulation,[status(thm)],[f20,f15]) ).
fof(f76,plain,
op_d = mult(op_c,unit),
inference(paramodulation,[status(thm)],[f29,f25]) ).
fof(f77,plain,
op_d = op_c,
inference(forward_demodulation,[status(thm)],[f19,f76]) ).
fof(f87,plain,
! [X0] : op_c = ld(X0,mult(op_c,X0)),
inference(backward_demodulation,[status(thm)],[f77,f25]) ).
fof(f129,plain,
! [X0] : mult(X0,op_c) = mult(op_c,X0),
inference(paramodulation,[status(thm)],[f87,f15]) ).
fof(f309,plain,
! [X0] : op_f = mult(X0,ld(mult(unit,X0),op_c)),
inference(paramodulation,[status(thm)],[f20,f27]) ).
fof(f310,plain,
! [X0] : op_f = mult(X0,ld(X0,op_c)),
inference(forward_demodulation,[status(thm)],[f20,f309]) ).
fof(f311,plain,
op_f = op_c,
inference(forward_demodulation,[status(thm)],[f15,f310]) ).
fof(f351,plain,
mult(x4,mult(x5,op_c)) != mult(mult(x4,x5),op_f),
inference(forward_demodulation,[status(thm)],[f311,f28]) ).
fof(f352,plain,
mult(x4,mult(op_c,x5)) != mult(mult(x4,x5),op_f),
inference(forward_demodulation,[status(thm)],[f129,f351]) ).
fof(f353,plain,
mult(x4,mult(op_c,x5)) != mult(mult(x4,x5),op_c),
inference(forward_demodulation,[status(thm)],[f311,f352]) ).
fof(f354,plain,
mult(x4,mult(op_c,x5)) != mult(x4,mult(x5,op_c)),
inference(forward_demodulation,[status(thm)],[f23,f353]) ).
fof(f355,plain,
mult(x4,mult(op_c,x5)) != mult(x4,mult(op_c,x5)),
inference(forward_demodulation,[status(thm)],[f129,f354]) ).
fof(f356,plain,
$false,
inference(trivial_equality_resolution,[status(esa)],[f355]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : GRP704-11 : TPTP v8.1.2. Released v8.1.0.
% 0.10/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.11/0.32 % Computer : n004.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Tue May 30 11:26:37 EDT 2023
% 0.11/0.32 % CPUTime :
% 0.11/0.33 % Drodi V3.5.1
% 0.11/0.37 % Refutation found
% 0.11/0.37 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.11/0.37 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.32/0.60 % Elapsed time: 0.057527 seconds
% 0.32/0.60 % CPU time: 0.130309 seconds
% 0.32/0.60 % Memory used: 3.926 MB
%------------------------------------------------------------------------------