TSTP Solution File: GRP089-1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GRP089-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n019.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 0.48s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 8
% Syntax : Number of formulae : 72 ( 48 unt; 0 def)
% Number of atoms : 102 ( 68 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 55 ( 25 ~; 26 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 5 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 9 con; 0-2 aty)
% Number of variables : 100 ( 100 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X,Y,Z] : divide(X,divide(divide(X,Y),divide(Z,Y))) = Z,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X,Y,Z] : multiply(X,Y) = divide(X,divide(divide(Z,Z),Y)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X,Z] : inverse(X) = divide(divide(Z,Z),X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,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/sandbox/benchmark/theBenchmark.p') ).
fof(f5,plain,
! [X0,X1,X2] : divide(X0,divide(divide(X0,X1),divide(X2,X1))) = X2,
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f6,plain,
! [X0,X1,X2] : multiply(X0,X1) = divide(X0,divide(divide(X2,X2),X1)),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f7,plain,
! [X0,X1] : inverse(X0) = divide(divide(X1,X1),X0),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f8,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)],[f4]) ).
fof(f9,plain,
( spl0_0
<=> multiply(inverse(a1),a1) = multiply(inverse(b1),b1) ),
introduced(split_symbol_definition) ).
fof(f11,plain,
( multiply(inverse(a1),a1) != multiply(inverse(b1),b1)
| spl0_0 ),
inference(component_clause,[status(thm)],[f9]) ).
fof(f12,plain,
( spl0_1
<=> multiply(multiply(inverse(b2),b2),a2) = a2 ),
introduced(split_symbol_definition) ).
fof(f14,plain,
( multiply(multiply(inverse(b2),b2),a2) != a2
| spl0_1 ),
inference(component_clause,[status(thm)],[f12]) ).
fof(f15,plain,
( spl0_2
<=> multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3)) ),
introduced(split_symbol_definition) ).
fof(f17,plain,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| spl0_2 ),
inference(component_clause,[status(thm)],[f15]) ).
fof(f18,plain,
( spl0_3
<=> multiply(a4,b4) = multiply(b4,a4) ),
introduced(split_symbol_definition) ).
fof(f20,plain,
( multiply(a4,b4) != multiply(b4,a4)
| spl0_3 ),
inference(component_clause,[status(thm)],[f18]) ).
fof(f21,plain,
( ~ spl0_0
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3 ),
inference(split_clause,[status(thm)],[f8,f9,f12,f15,f18]) ).
fof(f22,plain,
! [X0,X1] : multiply(X0,X1) = divide(X0,inverse(X1)),
inference(backward_demodulation,[status(thm)],[f7,f6]) ).
fof(f23,plain,
! [X0,X1] : inverse(X0) = divide(inverse(divide(X1,X1)),X0),
inference(paramodulation,[status(thm)],[f7,f7]) ).
fof(f24,plain,
! [X0,X1] : multiply(divide(X0,X0),X1) = inverse(inverse(X1)),
inference(paramodulation,[status(thm)],[f7,f22]) ).
fof(f205,plain,
! [X0,X1] : divide(X0,inverse(divide(X1,X0))) = X1,
inference(paramodulation,[status(thm)],[f7,f5]) ).
fof(f206,plain,
! [X0,X1] : multiply(X0,divide(X1,X0)) = X1,
inference(forward_demodulation,[status(thm)],[f22,f205]) ).
fof(f207,plain,
! [X0,X1,X2] : divide(X0,X1) = divide(divide(X0,divide(X1,X2)),X2),
inference(paramodulation,[status(thm)],[f5,f5]) ).
fof(f281,plain,
! [X0,X1] : inverse(inverse(divide(X0,divide(X1,X1)))) = X0,
inference(paramodulation,[status(thm)],[f24,f206]) ).
fof(f290,plain,
! [X0,X1] : multiply(X0,inverse(X0)) = divide(X1,X1),
inference(paramodulation,[status(thm)],[f7,f206]) ).
fof(f292,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X1,X0)) = X1,
inference(paramodulation,[status(thm)],[f22,f206]) ).
fof(f315,plain,
! [X0,X1] : divide(X0,X0) = divide(X1,X1),
inference(paramodulation,[status(thm)],[f290,f290]) ).
fof(f343,plain,
! [X0,X1] : divide(X0,multiply(X1,inverse(X1))) = X0,
inference(paramodulation,[status(thm)],[f290,f5]) ).
fof(f347,plain,
! [X0,X1,X2] : divide(X0,divide(divide(X0,X1),multiply(X2,inverse(X2)))) = X1,
inference(paramodulation,[status(thm)],[f290,f5]) ).
fof(f348,plain,
! [X0,X1] : divide(X0,divide(X0,X1)) = X1,
inference(forward_demodulation,[status(thm)],[f343,f347]) ).
fof(f397,plain,
! [X0,X1] : divide(X0,divide(X1,X1)) = X0,
inference(paramodulation,[status(thm)],[f315,f5]) ).
fof(f447,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(backward_demodulation,[status(thm)],[f397,f281]) ).
fof(f575,plain,
! [X0,X1] : multiply(X0,inverse(X1)) = divide(X0,X1),
inference(paramodulation,[status(thm)],[f447,f22]) ).
fof(f616,plain,
! [X0,X1] : multiply(divide(X0,X1),X1) = X0,
inference(paramodulation,[status(thm)],[f348,f206]) ).
fof(f683,plain,
! [X0,X1] : multiply(multiply(X0,X1),inverse(X1)) = X0,
inference(paramodulation,[status(thm)],[f22,f616]) ).
fof(f684,plain,
! [X0,X1] : divide(multiply(X0,X1),X1) = X0,
inference(forward_demodulation,[status(thm)],[f575,f683]) ).
fof(f711,plain,
! [X0,X1] : divide(multiply(X0,X1),X0) = X1,
inference(paramodulation,[status(thm)],[f684,f348]) ).
fof(f712,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X1,X0),
inference(paramodulation,[status(thm)],[f684,f206]) ).
fof(f713,plain,
( $false
| spl0_3 ),
inference(backward_subsumption_resolution,[status(thm)],[f20,f712]) ).
fof(f714,plain,
spl0_3,
inference(contradiction_clause,[status(thm)],[f713]) ).
fof(f715,plain,
( multiply(c3,multiply(a3,b3)) != multiply(a3,multiply(b3,c3))
| spl0_2 ),
inference(forward_demodulation,[status(thm)],[f712,f17]) ).
fof(f761,plain,
! [X0,X1] : multiply(inverse(X0),X1) = divide(X1,X0),
inference(paramodulation,[status(thm)],[f616,f292]) ).
fof(f849,plain,
! [X0,X1,X2] : divide(inverse(divide(X0,X0)),X1) = divide(inverse(divide(X1,X2)),X2),
inference(paramodulation,[status(thm)],[f23,f207]) ).
fof(f850,plain,
! [X0,X1] : inverse(X0) = divide(inverse(divide(X0,X1)),X1),
inference(forward_demodulation,[status(thm)],[f23,f849]) ).
fof(f895,plain,
! [X0,X1,X2] : multiply(divide(X0,X1),X2) = divide(X0,divide(X1,X2)),
inference(paramodulation,[status(thm)],[f207,f616]) ).
fof(f899,plain,
! [X0,X1,X2] : multiply(X0,divide(X1,X2)) = divide(X1,divide(X2,X0)),
inference(paramodulation,[status(thm)],[f207,f206]) ).
fof(f982,plain,
! [X0,X1] : divide(inverse(X0),X1) = divide(inverse(X1),X0),
inference(paramodulation,[status(thm)],[f575,f761]) ).
fof(f1064,plain,
! [X0,X1] : inverse(multiply(X0,X1)) = divide(inverse(X1),X0),
inference(paramodulation,[status(thm)],[f711,f850]) ).
fof(f1195,plain,
! [X0,X1] : inverse(divide(X0,X1)) = divide(inverse(X0),inverse(X1)),
inference(paramodulation,[status(thm)],[f761,f1064]) ).
fof(f1196,plain,
! [X0,X1] : inverse(divide(X0,X1)) = multiply(inverse(X0),X1),
inference(forward_demodulation,[status(thm)],[f22,f1195]) ).
fof(f1197,plain,
! [X0,X1] : inverse(divide(X0,X1)) = divide(X1,X0),
inference(forward_demodulation,[status(thm)],[f761,f1196]) ).
fof(f1219,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,X2)) = divide(X0,divide(inverse(X2),X1)),
inference(paramodulation,[status(thm)],[f1064,f22]) ).
fof(f1257,plain,
! [X0,X1,X2] : multiply(divide(X0,X1),X2) = divide(X2,divide(X1,X0)),
inference(paramodulation,[status(thm)],[f1197,f761]) ).
fof(f1258,plain,
! [X0,X1,X2] : divide(X0,divide(X1,X2)) = divide(X2,divide(X1,X0)),
inference(forward_demodulation,[status(thm)],[f895,f1257]) ).
fof(f1624,plain,
! [X0,X1,X2] : divide(X0,divide(inverse(X1),X2)) = divide(X1,divide(inverse(X2),X0)),
inference(paramodulation,[status(thm)],[f982,f1258]) ).
fof(f1625,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,X2)) = divide(X2,divide(inverse(X1),X0)),
inference(forward_demodulation,[status(thm)],[f1219,f1624]) ).
fof(f1626,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,X2)) = multiply(X2,multiply(X0,X1)),
inference(forward_demodulation,[status(thm)],[f1219,f1625]) ).
fof(f1792,plain,
( $false
| spl0_2 ),
inference(backward_subsumption_resolution,[status(thm)],[f715,f1626]) ).
fof(f1793,plain,
spl0_2,
inference(contradiction_clause,[status(thm)],[f1792]) ).
fof(f1794,plain,
( divide(a1,a1) != multiply(inverse(b1),b1)
| spl0_0 ),
inference(forward_demodulation,[status(thm)],[f761,f11]) ).
fof(f1795,plain,
( divide(a1,a1) != divide(b1,b1)
| spl0_0 ),
inference(forward_demodulation,[status(thm)],[f761,f1794]) ).
fof(f1796,plain,
( $false
| spl0_0 ),
inference(forward_subsumption_resolution,[status(thm)],[f1795,f315]) ).
fof(f1797,plain,
spl0_0,
inference(contradiction_clause,[status(thm)],[f1796]) ).
fof(f1799,plain,
( multiply(a2,multiply(inverse(b2),b2)) != a2
| spl0_1 ),
inference(forward_demodulation,[status(thm)],[f712,f14]) ).
fof(f1800,plain,
( multiply(b2,multiply(a2,inverse(b2))) != a2
| spl0_1 ),
inference(forward_demodulation,[status(thm)],[f1626,f1799]) ).
fof(f1801,plain,
( multiply(b2,divide(a2,b2)) != a2
| spl0_1 ),
inference(forward_demodulation,[status(thm)],[f575,f1800]) ).
fof(f1802,plain,
( divide(a2,divide(b2,b2)) != a2
| spl0_1 ),
inference(forward_demodulation,[status(thm)],[f899,f1801]) ).
fof(f1803,plain,
( divide(b2,divide(b2,a2)) != a2
| spl0_1 ),
inference(forward_demodulation,[status(thm)],[f1258,f1802]) ).
fof(f1804,plain,
( a2 != a2
| spl0_1 ),
inference(forward_demodulation,[status(thm)],[f348,f1803]) ).
fof(f1805,plain,
( $false
| spl0_1 ),
inference(trivial_equality_resolution,[status(esa)],[f1804]) ).
fof(f1806,plain,
spl0_1,
inference(contradiction_clause,[status(thm)],[f1805]) ).
fof(f1807,plain,
$false,
inference(sat_refutation,[status(thm)],[f21,f714,f1793,f1797,f1806]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : GRP089-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% 0.08/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n019.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Apr 30 00:24:14 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Drodi V3.6.0
% 0.20/0.48 % Refutation found
% 0.20/0.48 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.20/0.48 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.20/0.49 % Elapsed time: 0.136341 seconds
% 0.20/0.49 % CPU time: 1.006151 seconds
% 0.20/0.49 % Total memory used: 53.413 MB
% 0.20/0.49 % Net memory used: 51.343 MB
%------------------------------------------------------------------------------