TSTP Solution File: GRP096-1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GRP096-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n006.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 20:19:13 EDT 2024
% Result : Unsatisfiable 0.13s 0.40s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 7
% Syntax : Number of formulae : 91 ( 68 unt; 0 def)
% Number of atoms : 120 ( 87 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 53 ( 24 ~; 25 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 8 ( 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 : 200 ( 200 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X,Y,Z] : divide(divide(X,inverse(divide(Y,divide(X,Z)))),Z) = Y,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X,Y] : multiply(X,Y) = divide(X,inverse(Y)),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,plain,
! [X0,X1,X2] : divide(divide(X0,inverse(divide(X1,divide(X0,X2)))),X2) = X1,
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))
| 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] : divide(multiply(X0,divide(X1,divide(X0,X2))),X2) = X1,
inference(backward_demodulation,[status(thm)],[f5,f4]) ).
fof(f21,plain,
! [X0,X1,X2] : multiply(multiply(X0,divide(X1,divide(X0,inverse(X2)))),X2) = X1,
inference(paramodulation,[status(thm)],[f5,f20]) ).
fof(f22,plain,
! [X0,X1,X2] : multiply(multiply(X0,divide(X1,multiply(X0,X2))),X2) = X1,
inference(forward_demodulation,[status(thm)],[f5,f21]) ).
fof(f23,plain,
! [X0,X1,X2,X3] : divide(multiply(X0,X1),X2) = multiply(X3,divide(X1,divide(X3,divide(X0,X2)))),
inference(paramodulation,[status(thm)],[f20,f20]) ).
fof(f24,plain,
! [X0,X1,X2,X3] : divide(multiply(multiply(X0,divide(X1,divide(X0,X2))),divide(X3,X1)),X2) = X3,
inference(paramodulation,[status(thm)],[f20,f20]) ).
fof(f29,plain,
! [X0,X1,X2,X3] : multiply(multiply(X0,X1),X2) = multiply(X3,divide(X1,divide(X3,multiply(X0,X2)))),
inference(paramodulation,[status(thm)],[f20,f22]) ).
fof(f35,plain,
! [X0,X1,X2,X3,X4] : divide(multiply(multiply(X0,divide(X1,divide(X0,X2))),X3),X2) = multiply(X4,divide(X3,divide(X4,X1))),
inference(paramodulation,[status(thm)],[f20,f23]) ).
fof(f38,plain,
! [X0,X1,X2] : divide(divide(multiply(X0,X1),X2),divide(X0,X2)) = X1,
inference(paramodulation,[status(thm)],[f23,f20]) ).
fof(f41,plain,
! [X0,X1,X2,X3,X4] : X0 = multiply(X1,divide(divide(X0,divide(multiply(X2,divide(X3,divide(X2,X4))),X4)),divide(X1,X3))),
inference(paramodulation,[status(thm)],[f20,f35]) ).
fof(f42,plain,
! [X0,X1,X2] : X0 = multiply(X1,divide(divide(X0,X2),divide(X1,X2))),
inference(forward_demodulation,[status(thm)],[f20,f41]) ).
fof(f58,plain,
! [X0,X1,X2,X3,X4] : divide(multiply(multiply(X0,divide(divide(X1,X2),divide(X0,X3))),X4),X3) = divide(multiply(X1,X4),X2),
inference(paramodulation,[status(thm)],[f23,f35]) ).
fof(f66,plain,
! [X0,X1,X2,X3,X4] : divide(multiply(multiply(X0,divide(inverse(X1),divide(X0,X2))),X3),X2) = multiply(X4,divide(X3,multiply(X4,X1))),
inference(paramodulation,[status(thm)],[f5,f35]) ).
fof(f75,plain,
! [X0,X1,X2,X3,X4,X5] : divide(multiply(X0,multiply(X1,divide(X2,divide(X1,X3)))),X4) = multiply(multiply(X5,divide(X3,divide(X5,divide(X0,X4)))),X2),
inference(paramodulation,[status(thm)],[f35,f20]) ).
fof(f76,plain,
! [X0,X1,X2,X3,X4] : divide(multiply(X0,multiply(X1,divide(X2,divide(X1,X3)))),X4) = multiply(divide(multiply(X0,X3),X4),X2),
inference(forward_demodulation,[status(thm)],[f23,f75]) ).
fof(f83,plain,
! [X0,X1,X2,X3] : divide(divide(multiply(multiply(X0,divide(X1,divide(X0,X2))),X3),X2),X1) = X3,
inference(paramodulation,[status(thm)],[f35,f20]) ).
fof(f142,plain,
! [X0,X1,X2] : X0 = multiply(X1,divide(multiply(X0,X2),divide(X1,inverse(X2)))),
inference(paramodulation,[status(thm)],[f5,f42]) ).
fof(f143,plain,
! [X0,X1,X2] : X0 = multiply(X1,divide(multiply(X0,X2),multiply(X1,X2))),
inference(forward_demodulation,[status(thm)],[f5,f142]) ).
fof(f155,plain,
! [X0,X1,X2,X3] : multiply(X0,divide(X1,divide(X0,multiply(X2,divide(X3,X1))))) = multiply(X2,X3),
inference(paramodulation,[status(thm)],[f24,f143]) ).
fof(f156,plain,
! [X0,X1,X2] : multiply(multiply(X0,X1),divide(X2,X1)) = multiply(X0,X2),
inference(forward_demodulation,[status(thm)],[f29,f155]) ).
fof(f157,plain,
! [X0,X1,X2,X3,X4] : multiply(X0,divide(X1,divide(X0,multiply(X2,X3)))) = multiply(X2,multiply(X4,divide(X3,divide(X4,X1)))),
inference(paramodulation,[status(thm)],[f35,f143]) ).
fof(f158,plain,
! [X0,X1,X2,X3] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X3,divide(X2,divide(X3,X1)))),
inference(forward_demodulation,[status(thm)],[f29,f157]) ).
fof(f172,plain,
! [X0,X1,X2,X3] : divide(multiply(multiply(X0,X1),X2),X3) = multiply(divide(multiply(X0,X1),X3),X2),
inference(backward_demodulation,[status(thm)],[f158,f76]) ).
fof(f185,plain,
! [X0,X1,X2,X3] : multiply(X0,divide(X1,X2)) = multiply(multiply(X3,divide(X0,multiply(X3,X2))),X1),
inference(paramodulation,[status(thm)],[f22,f156]) ).
fof(f186,plain,
! [X0,X1,X2,X3] : multiply(multiply(X0,X1),divide(X2,divide(X1,X3))) = multiply(multiply(X0,X3),X2),
inference(paramodulation,[status(thm)],[f156,f156]) ).
fof(f189,plain,
! [X0,X1,X2,X3,X4] : multiply(divide(multiply(X0,X1),X2),divide(X3,divide(X1,divide(X4,divide(X0,X2))))) = multiply(X4,X3),
inference(paramodulation,[status(thm)],[f23,f156]) ).
fof(f190,plain,
! [X0,X1,X2,X3,X4] : divide(multiply(multiply(X0,X1),divide(X2,divide(X1,divide(X3,divide(X0,X4))))),X4) = multiply(X3,X2),
inference(forward_demodulation,[status(thm)],[f172,f189]) ).
fof(f191,plain,
! [X0,X1,X2,X3] : divide(multiply(multiply(X0,divide(X1,divide(X0,X2))),X3),X2) = multiply(X1,X3),
inference(forward_demodulation,[status(thm)],[f186,f190]) ).
fof(f205,plain,
! [X0,X1] : multiply(X0,divide(X1,X1)) = X0,
inference(backward_demodulation,[status(thm)],[f185,f22]) ).
fof(f209,plain,
! [X0,X1] : multiply(X0,divide(X1,X0)) = X1,
inference(backward_demodulation,[status(thm)],[f191,f24]) ).
fof(f210,plain,
! [X0,X1,X2] : multiply(X0,X1) = multiply(X2,divide(X1,divide(X2,X0))),
inference(backward_demodulation,[status(thm)],[f191,f35]) ).
fof(f212,plain,
! [X0,X1,X2] : multiply(inverse(X0),X1) = multiply(X2,divide(X1,multiply(X2,X0))),
inference(backward_demodulation,[status(thm)],[f191,f66]) ).
fof(f213,plain,
! [X0,X1,X2] : multiply(divide(X0,X1),X2) = divide(multiply(X0,X2),X1),
inference(backward_demodulation,[status(thm)],[f191,f58]) ).
fof(f221,plain,
! [X0,X1] : divide(multiply(X0,X1),X0) = X1,
inference(backward_demodulation,[status(thm)],[f191,f83]) ).
fof(f248,plain,
! [X0,X1,X2] : multiply(multiply(X0,X1),X2) = multiply(multiply(X0,X2),X1),
inference(backward_demodulation,[status(thm)],[f210,f29]) ).
fof(f266,plain,
! [X0,X1,X2] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
inference(backward_demodulation,[status(thm)],[f210,f158]) ).
fof(f328,plain,
! [X0,X1,X2] : multiply(X0,divide(X1,X2)) = multiply(multiply(inverse(X2),X0),X1),
inference(backward_demodulation,[status(thm)],[f212,f185]) ).
fof(f329,plain,
! [X0,X1,X2] : multiply(X0,divide(X1,X2)) = multiply(inverse(X2),multiply(X0,X1)),
inference(forward_demodulation,[status(thm)],[f266,f328]) ).
fof(f358,plain,
! [X0,X1,X2] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X2,X1)),
inference(backward_demodulation,[status(thm)],[f266,f248]) ).
fof(f359,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,X2)) = multiply(X0,multiply(X2,X1)),
inference(forward_demodulation,[status(thm)],[f266,f358]) ).
fof(f364,plain,
! [X0,X1] : multiply(X0,multiply(inverse(X1),X1)) = X0,
inference(paramodulation,[status(thm)],[f5,f205]) ).
fof(f365,plain,
! [X0,X1] : multiply(X0,multiply(X1,inverse(X1))) = X0,
inference(forward_demodulation,[status(thm)],[f359,f364]) ).
fof(f371,plain,
! [X0,X1] : divide(X0,X0) = divide(X1,X1),
inference(paramodulation,[status(thm)],[f205,f221]) ).
fof(f375,plain,
! [X0,X1] : multiply(inverse(X0),X0) = divide(X1,X1),
inference(paramodulation,[status(thm)],[f5,f371]) ).
fof(f387,plain,
! [X0,X1] : divide(X0,X0) = multiply(X1,inverse(X1)),
inference(paramodulation,[status(thm)],[f365,f221]) ).
fof(f420,plain,
! [X0,X1] : divide(divide(X0,X0),X1) = inverse(X1),
inference(paramodulation,[status(thm)],[f387,f221]) ).
fof(f426,plain,
! [X0,X1,X2] : divide(multiply(inverse(X0),X0),divide(X1,multiply(X1,X2))) = X2,
inference(paramodulation,[status(thm)],[f375,f38]) ).
fof(f431,plain,
! [X0,X1,X2] : divide(divide(divide(X0,X0),X1),divide(inverse(X2),X1)) = X2,
inference(paramodulation,[status(thm)],[f375,f38]) ).
fof(f432,plain,
! [X0,X1] : divide(inverse(X0),divide(inverse(X1),X0)) = X1,
inference(forward_demodulation,[status(thm)],[f420,f431]) ).
fof(f433,plain,
! [X0,X1,X2] : divide(divide(divide(X0,X0),X1),divide(X2,X1)) = inverse(X2),
inference(paramodulation,[status(thm)],[f387,f38]) ).
fof(f434,plain,
! [X0,X1] : divide(inverse(X0),divide(X1,X0)) = inverse(X1),
inference(forward_demodulation,[status(thm)],[f420,f433]) ).
fof(f459,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(backward_demodulation,[status(thm)],[f434,f432]) ).
fof(f484,plain,
! [X0,X1,X2] : divide(multiply(X0,X1),X2) = divide(X1,divide(X2,X0)),
inference(paramodulation,[status(thm)],[f210,f221]) ).
fof(f486,plain,
! [X0,X1,X2] : divide(X0,divide(divide(X1,multiply(X1,X2)),inverse(X0))) = X2,
inference(backward_demodulation,[status(thm)],[f484,f426]) ).
fof(f487,plain,
! [X0,X1,X2] : divide(X0,multiply(divide(X1,multiply(X1,X2)),X0)) = X2,
inference(forward_demodulation,[status(thm)],[f5,f486]) ).
fof(f488,plain,
! [X0,X1,X2] : divide(X0,divide(multiply(X1,X0),multiply(X1,X2))) = X2,
inference(forward_demodulation,[status(thm)],[f213,f487]) ).
fof(f489,plain,
! [X0,X1,X2] : divide(X0,divide(X0,divide(multiply(X1,X2),X1))) = X2,
inference(forward_demodulation,[status(thm)],[f484,f488]) ).
fof(f490,plain,
! [X0,X1] : divide(X0,divide(X0,X1)) = X1,
inference(forward_demodulation,[status(thm)],[f221,f489]) ).
fof(f530,plain,
! [X0,X1] : multiply(X0,inverse(X1)) = divide(X0,X1),
inference(paramodulation,[status(thm)],[f459,f5]) ).
fof(f558,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X1,X0),
inference(paramodulation,[status(thm)],[f490,f210]) ).
fof(f563,plain,
( $false
| spl0_3 ),
inference(backward_subsumption_resolution,[status(thm)],[f18,f558]) ).
fof(f564,plain,
spl0_3,
inference(contradiction_clause,[status(thm)],[f563]) ).
fof(f566,plain,
( multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3))
| spl0_2 ),
inference(forward_demodulation,[status(thm)],[f266,f15]) ).
fof(f567,plain,
( $false
| spl0_2 ),
inference(trivial_equality_resolution,[status(esa)],[f566]) ).
fof(f568,plain,
spl0_2,
inference(contradiction_clause,[status(thm)],[f567]) ).
fof(f569,plain,
( multiply(a1,inverse(a1)) != multiply(inverse(b1),b1)
| spl0_0 ),
inference(forward_demodulation,[status(thm)],[f558,f9]) ).
fof(f570,plain,
( divide(a1,a1) != multiply(inverse(b1),b1)
| spl0_0 ),
inference(forward_demodulation,[status(thm)],[f530,f569]) ).
fof(f571,plain,
( divide(a1,a1) != multiply(b1,inverse(b1))
| spl0_0 ),
inference(forward_demodulation,[status(thm)],[f558,f570]) ).
fof(f572,plain,
( divide(a1,a1) != divide(b1,b1)
| spl0_0 ),
inference(forward_demodulation,[status(thm)],[f530,f571]) ).
fof(f573,plain,
( $false
| spl0_0 ),
inference(forward_subsumption_resolution,[status(thm)],[f572,f371]) ).
fof(f574,plain,
spl0_0,
inference(contradiction_clause,[status(thm)],[f573]) ).
fof(f575,plain,
( multiply(inverse(b2),multiply(b2,a2)) != a2
| spl0_1 ),
inference(forward_demodulation,[status(thm)],[f266,f12]) ).
fof(f576,plain,
( multiply(b2,divide(a2,b2)) != a2
| spl0_1 ),
inference(forward_demodulation,[status(thm)],[f329,f575]) ).
fof(f577,plain,
( a2 != a2
| spl0_1 ),
inference(forward_demodulation,[status(thm)],[f209,f576]) ).
fof(f578,plain,
( $false
| spl0_1 ),
inference(trivial_equality_resolution,[status(esa)],[f577]) ).
fof(f579,plain,
spl0_1,
inference(contradiction_clause,[status(thm)],[f578]) ).
fof(f580,plain,
$false,
inference(sat_refutation,[status(thm)],[f19,f564,f568,f574,f579]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP096-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n006.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
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Apr 30 00:21:05 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % Drodi V3.6.0
% 0.13/0.40 % Refutation found
% 0.13/0.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.40 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.19/0.42 % Elapsed time: 0.065388 seconds
% 0.19/0.42 % CPU time: 0.424537 seconds
% 0.19/0.42 % Total memory used: 46.096 MB
% 0.19/0.42 % Net memory used: 45.200 MB
%------------------------------------------------------------------------------