TSTP Solution File: GRP070-1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GRP070-1 : TPTP v8.1.2. Bugfixed v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n013.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 20:19:08 EDT 2024
% Result : Unsatisfiable 0.20s 0.50s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 6
% Syntax : Number of formulae : 51 ( 36 unt; 0 def)
% Number of atoms : 69 ( 47 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 33 ( 15 ~; 15 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 4 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 7 con; 0-2 aty)
% Number of variables : 99 ( 99 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X,Y,Z,U] : divide(divide(X,X),divide(Y,divide(divide(Z,divide(U,Y)),inverse(U)))) = Z,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X,Y] : multiply(X,Y) = divide(X,inverse(Y)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,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)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,plain,
! [X0,X1,X2,X3] : divide(divide(X0,X0),divide(X1,divide(divide(X2,divide(X3,X1)),inverse(X3)))) = X2,
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f5,plain,
! [X0,X1] : multiply(X0,X1) = divide(X0,inverse(X1)),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f6,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)) ),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f7,plain,
( spl0_0
<=> multiply(inverse(a1),a1) = multiply(inverse(b1),b1) ),
introduced(split_symbol_definition) ).
fof(f9,plain,
( multiply(inverse(a1),a1) != multiply(inverse(b1),b1)
| spl0_0 ),
inference(component_clause,[status(thm)],[f7]) ).
fof(f10,plain,
( spl0_1
<=> multiply(multiply(inverse(b2),b2),a2) = a2 ),
introduced(split_symbol_definition) ).
fof(f12,plain,
( multiply(multiply(inverse(b2),b2),a2) != a2
| spl0_1 ),
inference(component_clause,[status(thm)],[f10]) ).
fof(f13,plain,
( spl0_2
<=> multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3)) ),
introduced(split_symbol_definition) ).
fof(f15,plain,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| spl0_2 ),
inference(component_clause,[status(thm)],[f13]) ).
fof(f16,plain,
( ~ spl0_0
| ~ spl0_1
| ~ spl0_2 ),
inference(split_clause,[status(thm)],[f6,f7,f10,f13]) ).
fof(f17,plain,
! [X0,X1,X2,X3] : divide(divide(X0,X0),divide(X1,multiply(divide(X2,divide(X3,X1)),X3))) = X2,
inference(backward_demodulation,[status(thm)],[f5,f4]) ).
fof(f18,plain,
! [X0,X1,X2,X3] : divide(multiply(inverse(X0),X0),divide(X1,multiply(divide(X2,divide(X3,X1)),X3))) = X2,
inference(paramodulation,[status(thm)],[f5,f17]) ).
fof(f19,plain,
! [X0,X1,X2,X3,X4] : divide(divide(X0,X0),divide(multiply(divide(X1,divide(X2,X3)),X2),multiply(X1,X3))) = divide(X4,X4),
inference(paramodulation,[status(thm)],[f17,f17]) ).
fof(f21,plain,
! [X0,X1,X2,X3] : divide(divide(X0,X0),divide(inverse(X1),multiply(divide(X2,multiply(X3,X1)),X3))) = X2,
inference(paramodulation,[status(thm)],[f5,f17]) ).
fof(f26,plain,
! [X0,X1,X2,X3] : divide(multiply(inverse(X0),X0),divide(inverse(X1),multiply(divide(X2,multiply(X3,X1)),X3))) = X2,
inference(paramodulation,[status(thm)],[f5,f18]) ).
fof(f38,plain,
! [X0,X1] : divide(X0,X0) = divide(X1,X1),
inference(paramodulation,[status(thm)],[f19,f19]) ).
fof(f71,plain,
! [X0,X1] : multiply(inverse(X0),X0) = divide(X1,X1),
inference(paramodulation,[status(thm)],[f5,f38]) ).
fof(f80,plain,
! [X0,X1,X2,X3] : divide(multiply(inverse(X0),X0),divide(X1,multiply(divide(X2,X2),X3))) = divide(X3,X1),
inference(paramodulation,[status(thm)],[f38,f18]) ).
fof(f81,plain,
! [X0,X1,X2,X3] : divide(divide(X0,X0),divide(X1,multiply(divide(X2,X2),X3))) = divide(X3,X1),
inference(paramodulation,[status(thm)],[f38,f17]) ).
fof(f114,plain,
! [X0,X1] : multiply(inverse(X0),X0) = multiply(inverse(X1),X1),
inference(paramodulation,[status(thm)],[f5,f71]) ).
fof(f164,plain,
! [X0,X1,X2] : divide(X0,X0) = divide(X1,multiply(divide(X2,X2),X1)),
inference(paramodulation,[status(thm)],[f38,f81]) ).
fof(f242,plain,
! [X0,X1,X2,X3] : divide(multiply(inverse(X0),X0),divide(inverse(X1),multiply(divide(X2,X2),divide(X3,X3)))) = X1,
inference(paramodulation,[status(thm)],[f164,f26]) ).
fof(f243,plain,
! [X0,X1] : divide(divide(X0,X0),inverse(X1)) = X1,
inference(forward_demodulation,[status(thm)],[f80,f242]) ).
fof(f244,plain,
! [X0,X1] : multiply(divide(X0,X0),X1) = X1,
inference(forward_demodulation,[status(thm)],[f5,f243]) ).
fof(f255,plain,
! [X0,X1,X2] : divide(divide(X0,X0),divide(X1,X2)) = divide(X2,X1),
inference(backward_demodulation,[status(thm)],[f244,f81]) ).
fof(f297,plain,
! [X0,X1,X2] : divide(multiply(divide(X0,multiply(X1,X2)),X1),inverse(X2)) = X0,
inference(backward_demodulation,[status(thm)],[f255,f21]) ).
fof(f298,plain,
! [X0,X1,X2] : multiply(multiply(divide(X0,multiply(X1,X2)),X1),X2) = X0,
inference(forward_demodulation,[status(thm)],[f5,f297]) ).
fof(f299,plain,
! [X0,X1,X2] : divide(multiply(divide(X0,divide(X1,X2)),X1),X2) = X0,
inference(backward_demodulation,[status(thm)],[f255,f17]) ).
fof(f365,plain,
! [X0,X1] : multiply(multiply(inverse(X0),X0),X1) = X1,
inference(paramodulation,[status(thm)],[f5,f244]) ).
fof(f382,plain,
! [X0,X1,X2,X3] : divide(divide(X0,X0),divide(X1,X2)) = divide(divide(X2,X1),divide(X3,X3)),
inference(paramodulation,[status(thm)],[f255,f255]) ).
fof(f383,plain,
! [X0,X1,X2] : divide(X0,X1) = divide(divide(X0,X1),divide(X2,X2)),
inference(forward_demodulation,[status(thm)],[f255,f382]) ).
fof(f441,plain,
! [X0,X1,X2,X3] : divide(multiply(X0,X1),X2) = multiply(divide(X0,divide(X3,divide(X1,X2))),X3),
inference(paramodulation,[status(thm)],[f299,f299]) ).
fof(f459,plain,
! [X0,X1,X2,X3] : divide(multiply(divide(X0,divide(X1,X2)),X1),X2) = divide(X0,divide(X3,X3)),
inference(paramodulation,[status(thm)],[f299,f383]) ).
fof(f460,plain,
! [X0,X1] : X0 = divide(X0,divide(X1,X1)),
inference(forward_demodulation,[status(thm)],[f299,f459]) ).
fof(f517,plain,
! [X0,X1,X2] : multiply(divide(X0,divide(X1,divide(X2,X2))),X1) = X0,
inference(paramodulation,[status(thm)],[f299,f460]) ).
fof(f518,plain,
! [X0,X1] : divide(multiply(X0,X1),X1) = X0,
inference(forward_demodulation,[status(thm)],[f441,f517]) ).
fof(f599,plain,
! [X0,X1,X2] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
inference(paramodulation,[status(thm)],[f518,f298]) ).
fof(f637,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(backward_demodulation,[status(thm)],[f599,f365]) ).
fof(f640,plain,
( multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3))
| spl0_2 ),
inference(backward_demodulation,[status(thm)],[f599,f15]) ).
fof(f641,plain,
( $false
| spl0_2 ),
inference(trivial_equality_resolution,[status(esa)],[f640]) ).
fof(f642,plain,
spl0_2,
inference(contradiction_clause,[status(thm)],[f641]) ).
fof(f680,plain,
( $false
| spl0_0 ),
inference(forward_subsumption_resolution,[status(thm)],[f9,f114]) ).
fof(f681,plain,
spl0_0,
inference(contradiction_clause,[status(thm)],[f680]) ).
fof(f697,plain,
( multiply(inverse(b2),multiply(b2,a2)) != a2
| spl0_1 ),
inference(forward_demodulation,[status(thm)],[f599,f12]) ).
fof(f698,plain,
( a2 != a2
| spl0_1 ),
inference(forward_demodulation,[status(thm)],[f637,f697]) ).
fof(f699,plain,
( $false
| spl0_1 ),
inference(trivial_equality_resolution,[status(esa)],[f698]) ).
fof(f700,plain,
spl0_1,
inference(contradiction_clause,[status(thm)],[f699]) ).
fof(f701,plain,
$false,
inference(sat_refutation,[status(thm)],[f16,f642,f681,f700]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP070-1 : TPTP v8.1.2. Bugfixed v2.3.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.34 % Computer : n013.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 00:19:19 EDT 2024
% 0.14/0.34 % CPUTime :
% 0.14/0.35 % Drodi V3.6.0
% 0.20/0.50 % Refutation found
% 0.20/0.50 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.20/0.50 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.20/0.52 % Elapsed time: 0.159592 seconds
% 0.20/0.52 % CPU time: 1.182977 seconds
% 0.20/0.52 % Total memory used: 57.356 MB
% 0.20/0.52 % Net memory used: 54.922 MB
%------------------------------------------------------------------------------