TSTP Solution File: GRP111-1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GRP111-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n002.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 20:19:15 EDT 2024
% Result : Unsatisfiable 3.71s 0.85s
% Output : CNFRefutation 3.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 7
% Syntax : Number of formulae : 87 ( 65 unt; 0 def)
% Number of atoms : 115 ( 83 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 51 ( 23 ~; 24 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 11 ( 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 : 157 ( 157 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X,Y,Z] : double_divide(inverse(double_divide(inverse(double_divide(X,inverse(Y))),Z)),double_divide(X,Z)) = Y,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X,Y] : multiply(X,Y) = inverse(double_divide(Y,X)),
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))
| multiply(a4,b4) != multiply(b4,a4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,plain,
! [X0,X1,X2] : double_divide(inverse(double_divide(inverse(double_divide(X0,inverse(X1))),X2)),double_divide(X0,X2)) = X1,
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f5,plain,
! [X0,X1] : multiply(X0,X1) = inverse(double_divide(X1,X0)),
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))
| multiply(a4,b4) != multiply(b4,a4) ),
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_3
<=> multiply(a4,b4) = multiply(b4,a4) ),
introduced(split_symbol_definition) ).
fof(f18,plain,
( multiply(a4,b4) != multiply(b4,a4)
| spl0_3 ),
inference(component_clause,[status(thm)],[f16]) ).
fof(f19,plain,
( ~ spl0_0
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3 ),
inference(split_clause,[status(thm)],[f6,f7,f10,f13,f16]) ).
fof(f20,plain,
! [X0,X1,X2] : double_divide(multiply(X0,inverse(double_divide(X1,inverse(X2)))),double_divide(X1,X0)) = X2,
inference(backward_demodulation,[status(thm)],[f5,f4]) ).
fof(f21,plain,
! [X0,X1,X2] : double_divide(multiply(X0,multiply(inverse(X1),X2)),double_divide(X2,X0)) = X1,
inference(forward_demodulation,[status(thm)],[f5,f20]) ).
fof(f22,plain,
! [X0,X1,X2,X3] : double_divide(multiply(X0,multiply(multiply(X1,X2),X3)),double_divide(X3,X0)) = double_divide(X2,X1),
inference(paramodulation,[status(thm)],[f5,f21]) ).
fof(f23,plain,
! [X0,X1,X2,X3] : double_divide(multiply(double_divide(X0,X1),multiply(inverse(X2),multiply(X1,multiply(inverse(X3),X0)))),X3) = X2,
inference(paramodulation,[status(thm)],[f21,f21]) ).
fof(f24,plain,
! [X0,X1,X2] : multiply(double_divide(X0,X1),multiply(X1,multiply(inverse(X2),X0))) = inverse(X2),
inference(paramodulation,[status(thm)],[f21,f5]) ).
fof(f25,plain,
! [X0,X1,X2,X3] : multiply(X0,multiply(double_divide(X1,X2),multiply(inverse(X3),multiply(X2,multiply(inverse(X0),X1))))) = inverse(X3),
inference(paramodulation,[status(thm)],[f21,f24]) ).
fof(f29,plain,
! [X0,X1,X2] : double_divide(inverse(X0),double_divide(multiply(inverse(X0),X1),double_divide(X1,inverse(X2)))) = X2,
inference(paramodulation,[status(thm)],[f24,f21]) ).
fof(f40,plain,
! [X0,X1,X2,X3] : double_divide(inverse(X0),double_divide(multiply(inverse(X0),X1),double_divide(X1,multiply(X2,X3)))) = double_divide(X3,X2),
inference(paramodulation,[status(thm)],[f24,f22]) ).
fof(f193,plain,
! [X0,X1,X2,X3,X4,X5] : double_divide(multiply(X0,multiply(inverse(X1),multiply(X2,multiply(inverse(X3),multiply(double_divide(X4,X5),multiply(inverse(X0),multiply(X5,multiply(inverse(X2),X4)))))))),X3) = X1,
inference(paramodulation,[status(thm)],[f23,f23]) ).
fof(f214,plain,
! [X0,X1,X2,X3,X4] : multiply(X0,multiply(X1,multiply(inverse(X2),multiply(double_divide(X3,X4),multiply(inverse(X0),multiply(X4,multiply(inverse(X1),X3))))))) = inverse(X2),
inference(paramodulation,[status(thm)],[f23,f24]) ).
fof(f350,plain,
! [X0,X1,X2,X3] : multiply(X0,multiply(double_divide(multiply(X1,multiply(inverse(inverse(X2)),X3)),double_divide(X3,X1)),inverse(X0))) = inverse(X2),
inference(paramodulation,[status(thm)],[f25,f25]) ).
fof(f351,plain,
! [X0,X1] : multiply(X0,multiply(inverse(X1),inverse(X0))) = inverse(X1),
inference(forward_demodulation,[status(thm)],[f21,f350]) ).
fof(f365,plain,
! [X0,X1,X2,X3] : double_divide(multiply(double_divide(multiply(X0,multiply(inverse(inverse(X1)),X2)),double_divide(X2,X0)),inverse(X3)),X3) = X1,
inference(paramodulation,[status(thm)],[f25,f23]) ).
fof(f366,plain,
! [X0,X1] : double_divide(multiply(inverse(X0),inverse(X1)),X1) = X0,
inference(forward_demodulation,[status(thm)],[f21,f365]) ).
fof(f578,plain,
! [X0,X1] : multiply(double_divide(inverse(X0),X0),inverse(X1)) = inverse(X1),
inference(paramodulation,[status(thm)],[f351,f24]) ).
fof(f579,plain,
! [X0,X1] : double_divide(inverse(X0),double_divide(inverse(X1),X1)) = X0,
inference(paramodulation,[status(thm)],[f351,f21]) ).
fof(f612,plain,
! [X0,X1,X2] : double_divide(multiply(X0,X1),double_divide(inverse(X2),X2)) = double_divide(X1,X0),
inference(paramodulation,[status(thm)],[f5,f579]) ).
fof(f680,plain,
! [X0,X1] : X0 = double_divide(inverse(double_divide(inverse(X1),X1)),inverse(X0)),
inference(paramodulation,[status(thm)],[f366,f612]) ).
fof(f681,plain,
! [X0,X1] : X0 = double_divide(multiply(X1,inverse(X1)),inverse(X0)),
inference(forward_demodulation,[status(thm)],[f5,f680]) ).
fof(f776,plain,
! [X0,X1,X2] : multiply(X0,multiply(inverse(X0),multiply(inverse(X1),multiply(X2,inverse(X2))))) = inverse(X1),
inference(paramodulation,[status(thm)],[f681,f24]) ).
fof(f777,plain,
! [X0,X1,X2] : double_divide(multiply(inverse(X0),multiply(inverse(X1),multiply(X2,inverse(X2)))),X0) = X1,
inference(paramodulation,[status(thm)],[f681,f21]) ).
fof(f778,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X1,inverse(X1))) = inverse(X0),
inference(paramodulation,[status(thm)],[f681,f5]) ).
fof(f779,plain,
! [X0,X1] : double_divide(multiply(inverse(X0),inverse(X1)),X0) = X1,
inference(backward_demodulation,[status(thm)],[f778,f777]) ).
fof(f780,plain,
! [X0,X1] : multiply(X0,multiply(inverse(X0),inverse(X1))) = inverse(X1),
inference(backward_demodulation,[status(thm)],[f778,f776]) ).
fof(f790,plain,
! [X0] : X0 = inverse(inverse(X0)),
inference(paramodulation,[status(thm)],[f681,f779]) ).
fof(f806,plain,
! [X0,X1,X2,X3] : double_divide(inverse(X0),double_divide(multiply(inverse(X0),multiply(inverse(multiply(X1,X2)),inverse(X3))),X3)) = double_divide(X2,X1),
inference(paramodulation,[status(thm)],[f779,f40]) ).
fof(f812,plain,
! [X0,X1,X2] : double_divide(inverse(X0),double_divide(multiply(inverse(X0),multiply(inverse(inverse(X1)),inverse(X2))),X2)) = X1,
inference(paramodulation,[status(thm)],[f779,f29]) ).
fof(f813,plain,
! [X0,X1,X2] : double_divide(inverse(X0),double_divide(multiply(inverse(X0),multiply(X1,inverse(X2))),X2)) = X1,
inference(forward_demodulation,[status(thm)],[f790,f812]) ).
fof(f870,plain,
! [X0,X1] : inverse(multiply(X0,X1)) = double_divide(X1,X0),
inference(backward_demodulation,[status(thm)],[f813,f806]) ).
fof(f900,plain,
! [X0,X1] : multiply(double_divide(inverse(X0),X0),X1) = inverse(inverse(X1)),
inference(paramodulation,[status(thm)],[f790,f578]) ).
fof(f901,plain,
! [X0,X1] : multiply(double_divide(inverse(X0),X0),X1) = X1,
inference(forward_demodulation,[status(thm)],[f790,f900]) ).
fof(f906,plain,
! [X0,X1] : multiply(X0,multiply(X1,inverse(X0))) = inverse(inverse(X1)),
inference(paramodulation,[status(thm)],[f790,f351]) ).
fof(f907,plain,
! [X0,X1] : multiply(X0,multiply(X1,inverse(X0))) = X1,
inference(forward_demodulation,[status(thm)],[f790,f906]) ).
fof(f963,plain,
! [X0,X1] : multiply(double_divide(X0,inverse(X0)),X1) = X1,
inference(paramodulation,[status(thm)],[f790,f901]) ).
fof(f1002,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X1,X0)) = X1,
inference(paramodulation,[status(thm)],[f790,f907]) ).
fof(f1013,plain,
! [X0,X1] : X0 = multiply(X0,inverse(double_divide(X1,inverse(X1)))),
inference(paramodulation,[status(thm)],[f907,f963]) ).
fof(f1014,plain,
! [X0,X1] : X0 = multiply(X0,multiply(inverse(X1),X1)),
inference(forward_demodulation,[status(thm)],[f5,f1013]) ).
fof(f1018,plain,
! [X0,X1] : multiply(X0,inverse(X0)) = double_divide(X1,inverse(X1)),
inference(paramodulation,[status(thm)],[f963,f907]) ).
fof(f1040,plain,
! [X0,X1] : multiply(inverse(multiply(X0,X1)),X0) = inverse(X1),
inference(paramodulation,[status(thm)],[f1002,f1002]) ).
fof(f1041,plain,
! [X0,X1] : multiply(double_divide(X0,X1),X1) = inverse(X0),
inference(forward_demodulation,[status(thm)],[f870,f1040]) ).
fof(f1055,plain,
! [X0,X1] : multiply(X0,inverse(X1)) = double_divide(X1,inverse(X0)),
inference(paramodulation,[status(thm)],[f1041,f907]) ).
fof(f1059,plain,
! [X0,X1] : inverse(inverse(X0)) = double_divide(X1,double_divide(X0,X1)),
inference(paramodulation,[status(thm)],[f1041,f870]) ).
fof(f1060,plain,
! [X0,X1] : X0 = double_divide(X1,double_divide(X0,X1)),
inference(forward_demodulation,[status(thm)],[f790,f1059]) ).
fof(f1084,plain,
! [X0,X1] : multiply(X0,double_divide(X1,inverse(inverse(X0)))) = inverse(X1),
inference(backward_demodulation,[status(thm)],[f1055,f780]) ).
fof(f1085,plain,
! [X0,X1] : multiply(X0,double_divide(X1,X0)) = inverse(X1),
inference(forward_demodulation,[status(thm)],[f790,f1084]) ).
fof(f1201,plain,
! [X0,X1] : double_divide(X0,inverse(X0)) = double_divide(X1,inverse(X1)),
inference(backward_demodulation,[status(thm)],[f1055,f1018]) ).
fof(f1243,plain,
! [X0,X1,X2,X3,X4] : double_divide(multiply(X0,X1),X2) = multiply(inverse(X2),multiply(double_divide(X3,X4),multiply(inverse(X0),multiply(X4,multiply(inverse(X1),X3))))),
inference(paramodulation,[status(thm)],[f1002,f193]) ).
fof(f1300,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,double_divide(multiply(X0,X1),X2))) = inverse(X2),
inference(backward_demodulation,[status(thm)],[f1243,f214]) ).
fof(f1492,plain,
! [X0,X1] : X0 = double_divide(double_divide(X1,X0),X1),
inference(paramodulation,[status(thm)],[f1060,f1060]) ).
fof(f1520,plain,
! [X0,X1] : multiply(X0,X1) = inverse(double_divide(X0,X1)),
inference(paramodulation,[status(thm)],[f1492,f1085]) ).
fof(f1521,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X1,X0),
inference(forward_demodulation,[status(thm)],[f5,f1520]) ).
fof(f1526,plain,
! [X0,X1] : multiply(inverse(double_divide(X0,X1)),inverse(X0)) = X1,
inference(paramodulation,[status(thm)],[f1085,f1002]) ).
fof(f1527,plain,
! [X0,X1] : double_divide(X0,inverse(inverse(double_divide(X0,X1)))) = X1,
inference(forward_demodulation,[status(thm)],[f1055,f1526]) ).
fof(f1528,plain,
! [X0,X1] : double_divide(X0,double_divide(X0,X1)) = X1,
inference(forward_demodulation,[status(thm)],[f790,f1527]) ).
fof(f1531,plain,
( $false
| spl0_3 ),
inference(backward_subsumption_resolution,[status(thm)],[f18,f1521]) ).
fof(f1532,plain,
spl0_3,
inference(contradiction_clause,[status(thm)],[f1531]) ).
fof(f1533,plain,
( multiply(c3,multiply(a3,b3)) != multiply(a3,multiply(b3,c3))
| spl0_2 ),
inference(forward_demodulation,[status(thm)],[f1521,f15]) ).
fof(f1810,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,X2)) = inverse(double_divide(multiply(X0,X1),X2)),
inference(paramodulation,[status(thm)],[f1528,f1300]) ).
fof(f1811,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,X2)) = multiply(X2,multiply(X0,X1)),
inference(forward_demodulation,[status(thm)],[f5,f1810]) ).
fof(f1818,plain,
( $false
| spl0_2 ),
inference(backward_subsumption_resolution,[status(thm)],[f1533,f1811]) ).
fof(f1819,plain,
spl0_2,
inference(contradiction_clause,[status(thm)],[f1818]) ).
fof(f1820,plain,
( multiply(a1,inverse(a1)) != multiply(inverse(b1),b1)
| spl0_0 ),
inference(forward_demodulation,[status(thm)],[f1521,f9]) ).
fof(f1821,plain,
( double_divide(a1,inverse(a1)) != multiply(inverse(b1),b1)
| spl0_0 ),
inference(forward_demodulation,[status(thm)],[f1055,f1820]) ).
fof(f1822,plain,
( double_divide(a1,inverse(a1)) != multiply(b1,inverse(b1))
| spl0_0 ),
inference(forward_demodulation,[status(thm)],[f1521,f1821]) ).
fof(f1823,plain,
( double_divide(a1,inverse(a1)) != double_divide(b1,inverse(b1))
| spl0_0 ),
inference(forward_demodulation,[status(thm)],[f1055,f1822]) ).
fof(f1824,plain,
( $false
| spl0_0 ),
inference(forward_subsumption_resolution,[status(thm)],[f1823,f1201]) ).
fof(f1825,plain,
spl0_0,
inference(contradiction_clause,[status(thm)],[f1824]) ).
fof(f1827,plain,
( multiply(a2,multiply(inverse(b2),b2)) != a2
| spl0_1 ),
inference(forward_demodulation,[status(thm)],[f1521,f12]) ).
fof(f1828,plain,
( a2 != a2
| spl0_1 ),
inference(forward_demodulation,[status(thm)],[f1014,f1827]) ).
fof(f1829,plain,
( $false
| spl0_1 ),
inference(trivial_equality_resolution,[status(esa)],[f1828]) ).
fof(f1830,plain,
spl0_1,
inference(contradiction_clause,[status(thm)],[f1829]) ).
fof(f1831,plain,
$false,
inference(sat_refutation,[status(thm)],[f19,f1532,f1819,f1825,f1830]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GRP111-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.35 % Computer : n002.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Apr 30 00:45:39 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.36 % Drodi V3.6.0
% 3.71/0.85 % Refutation found
% 3.71/0.85 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 3.71/0.85 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 3.71/0.88 % Elapsed time: 0.517658 seconds
% 3.71/0.88 % CPU time: 3.976965 seconds
% 3.71/0.88 % Total memory used: 108.947 MB
% 3.71/0.88 % Net memory used: 106.605 MB
%------------------------------------------------------------------------------