TSTP Solution File: GRP086-1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GRP086-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% 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 : Tue Apr 30 20:19:11 EDT 2024
% Result : Unsatisfiable 0.20s 0.43s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 6
% Syntax : Number of formulae : 57 ( 35 unt; 0 def)
% Number of atoms : 85 ( 53 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 51 ( 23 ~; 24 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 5 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 9 con; 0-2 aty)
% Number of variables : 94 ( 94 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X,Y,Z] : multiply(X,multiply(multiply(Y,Z),inverse(multiply(X,Z)))) = Y,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
( multiply(inverse(a1),a1) != multiply(inverse(b1),b1)
| multiply(multiply(inverse(b2),b2),a2) != a2
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(a4,b4) != multiply(b4,a4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,plain,
! [X0,X1,X2] : multiply(X0,multiply(multiply(X1,X2),inverse(multiply(X0,X2)))) = X1,
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f4,plain,
( multiply(inverse(a1),a1) != multiply(inverse(b1),b1)
| multiply(multiply(inverse(b2),b2),a2) != a2
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(a4,b4) != multiply(b4,a4) ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f5,plain,
( spl0_0
<=> multiply(inverse(a1),a1) = multiply(inverse(b1),b1) ),
introduced(split_symbol_definition) ).
fof(f7,plain,
( multiply(inverse(a1),a1) != multiply(inverse(b1),b1)
| spl0_0 ),
inference(component_clause,[status(thm)],[f5]) ).
fof(f8,plain,
( spl0_1
<=> multiply(multiply(inverse(b2),b2),a2) = a2 ),
introduced(split_symbol_definition) ).
fof(f10,plain,
( multiply(multiply(inverse(b2),b2),a2) != a2
| spl0_1 ),
inference(component_clause,[status(thm)],[f8]) ).
fof(f11,plain,
( spl0_2
<=> multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3)) ),
introduced(split_symbol_definition) ).
fof(f13,plain,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| spl0_2 ),
inference(component_clause,[status(thm)],[f11]) ).
fof(f14,plain,
( spl0_3
<=> multiply(a4,b4) = multiply(b4,a4) ),
introduced(split_symbol_definition) ).
fof(f16,plain,
( multiply(a4,b4) != multiply(b4,a4)
| spl0_3 ),
inference(component_clause,[status(thm)],[f14]) ).
fof(f17,plain,
( ~ spl0_0
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3 ),
inference(split_clause,[status(thm)],[f4,f5,f8,f11,f14]) ).
fof(f18,plain,
! [X0,X1,X2,X3] : multiply(X0,multiply(X1,inverse(multiply(X0,multiply(multiply(X1,X2),inverse(multiply(X3,X2))))))) = X3,
inference(paramodulation,[status(thm)],[f3,f3]) ).
fof(f20,plain,
! [X0,X1] : multiply(X0,multiply(X1,inverse(X1))) = X0,
inference(paramodulation,[status(thm)],[f3,f18]) ).
fof(f27,plain,
! [X0,X1] : multiply(X0,multiply(X1,inverse(X0))) = X1,
inference(paramodulation,[status(thm)],[f20,f18]) ).
fof(f36,plain,
! [X0,X1,X2] : multiply(multiply(X0,X1),multiply(X2,inverse(multiply(X2,X1)))) = X0,
inference(paramodulation,[status(thm)],[f27,f18]) ).
fof(f53,plain,
! [X0,X1,X2] : multiply(multiply(X0,X1),multiply(X2,inverse(X0))) = multiply(X2,X1),
inference(paramodulation,[status(thm)],[f36,f18]) ).
fof(f56,plain,
! [X0,X1,X2,X3] : multiply(multiply(X0,X1),multiply(multiply(X2,multiply(X3,inverse(multiply(X3,X1)))),inverse(X0))) = X2,
inference(paramodulation,[status(thm)],[f36,f3]) ).
fof(f57,plain,
! [X0,X1,X2] : multiply(multiply(X0,multiply(X1,inverse(multiply(X1,X2)))),X2) = X0,
inference(forward_demodulation,[status(thm)],[f53,f56]) ).
fof(f93,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,inverse(X2))) = multiply(X1,multiply(X0,inverse(X2))),
inference(paramodulation,[status(thm)],[f27,f53]) ).
fof(f193,plain,
! [X0,X1,X2,X3] : multiply(multiply(X0,multiply(X1,inverse(X2))),multiply(X3,inverse(X1))) = multiply(X3,multiply(X0,inverse(X2))),
inference(paramodulation,[status(thm)],[f93,f53]) ).
fof(f235,plain,
! [X0,X1,X2,X3] : multiply(multiply(X0,multiply(X1,inverse(X2))),X3) = multiply(X1,multiply(multiply(X0,X3),inverse(X2))),
inference(paramodulation,[status(thm)],[f193,f57]) ).
fof(f236,plain,
! [X0,X1,X2] : multiply(multiply(X0,X1),X2) = multiply(multiply(X0,X2),X1),
inference(paramodulation,[status(thm)],[f53,f57]) ).
fof(f278,plain,
! [X0,X1,X2,X3] : multiply(multiply(X0,X1),X2) = multiply(multiply(X2,multiply(X3,inverse(multiply(X3,inverse(X0))))),X1),
inference(paramodulation,[status(thm)],[f57,f53]) ).
fof(f279,plain,
! [X0,X1,X2,X3] : multiply(multiply(X0,X1),X2) = multiply(X3,multiply(multiply(X2,X1),inverse(multiply(X3,inverse(X0))))),
inference(forward_demodulation,[status(thm)],[f235,f278]) ).
fof(f280,plain,
! [X0,X1,X2] : multiply(X0,X1) = multiply(X1,multiply(X2,inverse(multiply(X2,inverse(X0))))),
inference(paramodulation,[status(thm)],[f57,f27]) ).
fof(f357,plain,
! [X0,X1,X2] : multiply(X0,multiply(multiply(X1,inverse(X0)),X2)) = multiply(X1,X2),
inference(paramodulation,[status(thm)],[f236,f27]) ).
fof(f388,plain,
! [X0,X1,X2,X3] : multiply(X0,multiply(X1,X2)) = multiply(multiply(X1,multiply(X3,inverse(multiply(X3,inverse(X0))))),X2),
inference(paramodulation,[status(thm)],[f236,f280]) ).
fof(f389,plain,
! [X0,X1,X2,X3] : multiply(X0,multiply(X1,X2)) = multiply(X3,multiply(multiply(X1,X2),inverse(multiply(X3,inverse(X0))))),
inference(forward_demodulation,[status(thm)],[f235,f388]) ).
fof(f390,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,X2)) = multiply(multiply(X0,X2),X1),
inference(forward_demodulation,[status(thm)],[f279,f389]) ).
fof(f410,plain,
! [X0,X1,X2,X3] : multiply(multiply(X0,X1),multiply(X2,inverse(multiply(X2,inverse(X3))))) = multiply(multiply(X3,X0),X1),
inference(paramodulation,[status(thm)],[f280,f236]) ).
fof(f411,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,X2)) = multiply(multiply(X0,X1),X2),
inference(forward_demodulation,[status(thm)],[f280,f410]) ).
fof(f412,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,X2)) = multiply(X0,multiply(X2,X1)),
inference(forward_demodulation,[status(thm)],[f390,f411]) ).
fof(f450,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,multiply(X2,inverse(X0)))) = multiply(X1,X2),
inference(backward_demodulation,[status(thm)],[f390,f357]) ).
fof(f493,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,multiply(X2,inverse(X0)))) = multiply(X2,X1),
inference(paramodulation,[status(thm)],[f27,f390]) ).
fof(f494,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X1,X0),
inference(forward_demodulation,[status(thm)],[f450,f493]) ).
fof(f525,plain,
( $false
| spl0_3 ),
inference(backward_subsumption_resolution,[status(thm)],[f16,f494]) ).
fof(f526,plain,
spl0_3,
inference(contradiction_clause,[status(thm)],[f525]) ).
fof(f527,plain,
( multiply(a3,multiply(c3,b3)) != multiply(a3,multiply(b3,c3))
| spl0_2 ),
inference(forward_demodulation,[status(thm)],[f390,f13]) ).
fof(f528,plain,
( multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3))
| spl0_2 ),
inference(forward_demodulation,[status(thm)],[f412,f527]) ).
fof(f529,plain,
( $false
| spl0_2 ),
inference(trivial_equality_resolution,[status(esa)],[f528]) ).
fof(f530,plain,
spl0_2,
inference(contradiction_clause,[status(thm)],[f529]) ).
fof(f531,plain,
( multiply(a1,inverse(a1)) != multiply(inverse(b1),b1)
| spl0_0 ),
inference(forward_demodulation,[status(thm)],[f494,f7]) ).
fof(f532,plain,
( multiply(a1,inverse(a1)) != multiply(b1,inverse(b1))
| spl0_0 ),
inference(forward_demodulation,[status(thm)],[f494,f531]) ).
fof(f546,plain,
! [X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = X1,
inference(paramodulation,[status(thm)],[f494,f27]) ).
fof(f551,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,X2)) = multiply(multiply(X2,X0),X1),
inference(paramodulation,[status(thm)],[f494,f390]) ).
fof(f552,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,X2)) = multiply(X2,multiply(X1,X0)),
inference(forward_demodulation,[status(thm)],[f390,f551]) ).
fof(f571,plain,
! [X0,X1] : multiply(X0,inverse(X0)) = multiply(X1,inverse(X1)),
inference(paramodulation,[status(thm)],[f20,f546]) ).
fof(f581,plain,
( $false
| spl0_0 ),
inference(backward_subsumption_resolution,[status(thm)],[f532,f571]) ).
fof(f582,plain,
spl0_0,
inference(contradiction_clause,[status(thm)],[f581]) ).
fof(f583,plain,
( multiply(inverse(b2),multiply(a2,b2)) != a2
| spl0_1 ),
inference(forward_demodulation,[status(thm)],[f390,f10]) ).
fof(f584,plain,
( multiply(b2,multiply(a2,inverse(b2))) != a2
| spl0_1 ),
inference(forward_demodulation,[status(thm)],[f552,f583]) ).
fof(f585,plain,
( a2 != a2
| spl0_1 ),
inference(forward_demodulation,[status(thm)],[f27,f584]) ).
fof(f586,plain,
( $false
| spl0_1 ),
inference(trivial_equality_resolution,[status(esa)],[f585]) ).
fof(f587,plain,
spl0_1,
inference(contradiction_clause,[status(thm)],[f586]) ).
fof(f588,plain,
$false,
inference(sat_refutation,[status(thm)],[f17,f526,f530,f582,f587]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GRP086-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% 0.07/0.14 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.36 % Computer : n004.cluster.edu
% 0.13/0.36 % Model : x86_64 x86_64
% 0.13/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36 % Memory : 8042.1875MB
% 0.13/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36 % CPULimit : 300
% 0.13/0.36 % WCLimit : 300
% 0.13/0.36 % DateTime : Tue Apr 30 00:24:03 EDT 2024
% 0.13/0.36 % CPUTime :
% 0.13/0.37 % Drodi V3.6.0
% 0.20/0.43 % Refutation found
% 0.20/0.43 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.20/0.43 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.20/0.43 % Elapsed time: 0.069036 seconds
% 0.20/0.43 % CPU time: 0.439966 seconds
% 0.20/0.43 % Total memory used: 46.976 MB
% 0.20/0.43 % Net memory used: 46.204 MB
%------------------------------------------------------------------------------