TSTP Solution File: GRP436-1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GRP436-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n031.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 20:20:37 EDT 2024
% Result : Unsatisfiable 6.91s 1.24s
% Output : CNFRefutation 6.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 2
% Syntax : Number of formulae : 59 ( 59 unt; 0 def)
% Number of atoms : 59 ( 58 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 16 ( 3 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 214 ( 214 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B,C,D] : multiply(A,inverse(multiply(B,multiply(C,multiply(multiply(inverse(C),inverse(multiply(D,B))),A))))) = D,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
multiply(inverse(a1),a1) != multiply(inverse(b1),b1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,plain,
! [X0,X1,X2,X3] : multiply(X0,inverse(multiply(X1,multiply(X2,multiply(multiply(inverse(X2),inverse(multiply(X3,X1))),X0))))) = X3,
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f4,plain,
multiply(inverse(a1),a1) != multiply(inverse(b1),b1),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f6,plain,
! [X0,X1,X2,X3,X4] : multiply(X0,inverse(multiply(multiply(X1,multiply(multiply(inverse(X1),inverse(multiply(X2,X3))),inverse(X4))),multiply(X4,multiply(X2,X0))))) = X3,
inference(paramodulation,[status(thm)],[f3,f3]) ).
fof(f7,plain,
! [X0,X1,X2,X3,X4,X5] : multiply(X0,inverse(multiply(inverse(multiply(X1,multiply(X2,multiply(multiply(inverse(X2),inverse(multiply(X3,X1))),X4)))),multiply(X5,multiply(multiply(inverse(X5),inverse(X3)),X0))))) = X4,
inference(paramodulation,[status(thm)],[f3,f3]) ).
fof(f11,plain,
! [X0,X1,X2,X3,X4,X5] : multiply(X0,inverse(multiply(multiply(X1,multiply(X2,inverse(X3))),multiply(X3,multiply(X4,X0))))) = multiply(X5,multiply(multiply(inverse(X5),inverse(multiply(X2,X4))),inverse(X1))),
inference(paramodulation,[status(thm)],[f3,f6]) ).
fof(f12,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] : multiply(X0,inverse(multiply(multiply(X1,multiply(multiply(inverse(X1),inverse(X2)),inverse(X3))),multiply(X3,multiply(X4,X0))))) = inverse(multiply(multiply(X5,multiply(multiply(inverse(X5),inverse(multiply(X6,X2))),inverse(X7))),multiply(X7,multiply(X6,X4)))),
inference(paramodulation,[status(thm)],[f6,f6]) ).
fof(f13,plain,
! [X0,X1,X2,X3,X4,X5,X6] : multiply(X0,inverse(multiply(multiply(X1,multiply(multiply(inverse(X1),inverse(X2)),inverse(X3))),multiply(X3,multiply(X4,X0))))) = inverse(multiply(X5,multiply(X6,multiply(multiply(inverse(X6),inverse(multiply(X2,X5))),X4)))),
inference(paramodulation,[status(thm)],[f3,f6]) ).
fof(f19,plain,
! [X0,X1,X2,X3] : X0 = multiply(X1,multiply(multiply(inverse(X1),inverse(multiply(multiply(inverse(X2),inverse(multiply(X3,X0))),X3))),inverse(X2))),
inference(paramodulation,[status(thm)],[f6,f11]) ).
fof(f21,plain,
! [X0,X1,X2,X3,X4] : X0 = multiply(X1,multiply(multiply(inverse(X1),inverse(multiply(X2,multiply(inverse(X3),inverse(multiply(X0,multiply(X4,multiply(X2,inverse(X3))))))))),inverse(X4))),
inference(paramodulation,[status(thm)],[f3,f11]) ).
fof(f53,plain,
! [X0,X1,X2,X3,X4] : multiply(inverse(X0),inverse(multiply(X1,multiply(X2,inverse(multiply(multiply(X0,multiply(X3,inverse(X4))),multiply(X4,multiply(X1,X2)))))))) = X3,
inference(paramodulation,[status(thm)],[f11,f3]) ).
fof(f120,plain,
! [X0,X1,X2,X3] : multiply(inverse(X0),inverse(multiply(multiply(inverse(X1),inverse(multiply(X2,multiply(X0,multiply(X3,inverse(X1)))))),X2))) = X3,
inference(paramodulation,[status(thm)],[f3,f53]) ).
fof(f169,plain,
! [X0,X1,X2,X3,X4] : multiply(X0,inverse(multiply(X1,multiply(X2,multiply(X3,X0))))) = multiply(inverse(X4),inverse(multiply(X1,multiply(X2,multiply(X3,inverse(X4)))))),
inference(paramodulation,[status(thm)],[f120,f3]) ).
fof(f288,plain,
! [X0,X1,X2,X3,X4] : X0 = multiply(X1,multiply(multiply(inverse(X1),inverse(multiply(X2,multiply(X3,inverse(multiply(X0,multiply(X4,multiply(X2,X3)))))))),inverse(X4))),
inference(paramodulation,[status(thm)],[f169,f21]) ).
fof(f295,plain,
! [X0,X1,X2,X3,X4,X5] : multiply(X0,inverse(multiply(multiply(X1,multiply(X2,inverse(X3))),multiply(X3,multiply(multiply(X4,inverse(multiply(X5,multiply(X1,multiply(X2,X4))))),X0))))) = X5,
inference(paramodulation,[status(thm)],[f169,f3]) ).
fof(f570,plain,
! [X0,X1,X2,X3,X4,X5,X6] : multiply(X0,multiply(multiply(inverse(X0),inverse(X1)),inverse(X2))) = multiply(X3,multiply(multiply(inverse(X3),inverse(multiply(X4,inverse(multiply(X5,multiply(X6,multiply(multiply(inverse(X6),inverse(multiply(X1,X5))),X4))))))),inverse(X2))),
inference(paramodulation,[status(thm)],[f7,f19]) ).
fof(f571,plain,
! [X0,X1,X2,X3] : multiply(X0,multiply(multiply(inverse(X0),inverse(X1)),inverse(X2))) = multiply(X3,multiply(multiply(inverse(X3),inverse(X1)),inverse(X2))),
inference(forward_demodulation,[status(thm)],[f3,f570]) ).
fof(f1592,plain,
! [X0,X1,X2,X3,X4] : multiply(X0,multiply(X1,inverse(multiply(multiply(X2,multiply(multiply(inverse(X2),inverse(X3)),inverse(X4))),multiply(X4,multiply(X0,X1)))))) = X3,
inference(paramodulation,[status(thm)],[f12,f6]) ).
fof(f1657,plain,
! [X0,X1,X2,X3] : multiply(multiply(X0,inverse(multiply(X1,multiply(X2,multiply(multiply(inverse(X2),inverse(X3)),X0))))),X1) = X3,
inference(paramodulation,[status(thm)],[f295,f1592]) ).
fof(f1658,plain,
! [X0,X1,X2,X3] : multiply(X0,multiply(X1,multiply(multiply(inverse(X1),inverse(multiply(multiply(inverse(X2),inverse(X3)),X0))),inverse(X2)))) = X3,
inference(paramodulation,[status(thm)],[f11,f1592]) ).
fof(f1860,plain,
! [X0,X1,X2,X3] : multiply(X0,inverse(multiply(multiply(X1,multiply(multiply(inverse(X1),inverse(X2)),inverse(X3))),multiply(X3,X2)))) = X0,
inference(paramodulation,[status(thm)],[f1657,f3]) ).
fof(f2052,plain,
! [X0,X1,X2,X3] : X0 = inverse(multiply(X1,multiply(X2,multiply(multiply(inverse(X2),inverse(multiply(multiply(X3,X0),X1))),X3)))),
inference(paramodulation,[status(thm)],[f6,f13]) ).
fof(f2391,plain,
! [X0,X1,X2,X3] : X0 = inverse(multiply(multiply(X1,inverse(multiply(X2,multiply(X3,multiply(multiply(inverse(X3),X0),X1))))),X2)),
inference(paramodulation,[status(thm)],[f288,f2052]) ).
fof(f2493,plain,
! [X0,X1,X2,X3,X4,X5,X6] : multiply(X0,multiply(X1,multiply(multiply(inverse(X1),inverse(multiply(multiply(inverse(multiply(X2,multiply(X3,multiply(multiply(inverse(X3),inverse(multiply(multiply(X4,X5),X2))),X4)))),inverse(X6)),X0))),X5))) = X6,
inference(paramodulation,[status(thm)],[f2052,f1658]) ).
fof(f2494,plain,
! [X0,X1,X2,X3] : multiply(X0,multiply(X1,multiply(multiply(inverse(X1),inverse(multiply(multiply(X2,inverse(X3)),X0))),X2))) = X3,
inference(forward_demodulation,[status(thm)],[f2052,f2493]) ).
fof(f2539,plain,
! [X0,X1,X2,X3,X4,X5,X6] : X0 = multiply(X1,multiply(multiply(inverse(X1),inverse(multiply(multiply(inverse(multiply(X2,multiply(X3,multiply(multiply(inverse(X3),inverse(multiply(multiply(X4,X5),X2))),X4)))),inverse(multiply(X6,X0))),X6))),X5)),
inference(paramodulation,[status(thm)],[f2052,f19]) ).
fof(f2540,plain,
! [X0,X1,X2,X3] : X0 = multiply(X1,multiply(multiply(inverse(X1),inverse(multiply(multiply(X2,inverse(multiply(X3,X0))),X3))),X2)),
inference(forward_demodulation,[status(thm)],[f2052,f2539]) ).
fof(f2983,plain,
! [X0,X1,X2,X3] : multiply(X0,inverse(multiply(X1,multiply(X2,multiply(multiply(inverse(X2),inverse(multiply(X3,X1))),X3))))) = X0,
inference(paramodulation,[status(thm)],[f2540,f1860]) ).
fof(f3073,plain,
! [X0,X1,X2,X3,X4,X5] : multiply(X0,multiply(multiply(inverse(X0),inverse(X1)),inverse(multiply(multiply(X2,multiply(multiply(inverse(X2),inverse(X3)),inverse(X4))),multiply(X4,X3))))) = multiply(X5,multiply(inverse(X5),inverse(X1))),
inference(paramodulation,[status(thm)],[f1860,f571]) ).
fof(f3074,plain,
! [X0,X1,X2] : multiply(X0,multiply(inverse(X0),inverse(X1))) = multiply(X2,multiply(inverse(X2),inverse(X1))),
inference(forward_demodulation,[status(thm)],[f1860,f3073]) ).
fof(f3178,plain,
! [X0,X1,X2,X3,X4] : multiply(X0,inverse(X0)) = multiply(X1,multiply(inverse(X1),inverse(multiply(multiply(X2,multiply(multiply(inverse(X2),inverse(X3)),inverse(X4))),multiply(X4,X3))))),
inference(paramodulation,[status(thm)],[f1860,f3074]) ).
fof(f3179,plain,
! [X0,X1] : multiply(X0,inverse(X0)) = multiply(X1,inverse(X1)),
inference(forward_demodulation,[status(thm)],[f1860,f3178]) ).
fof(f3192,plain,
! [X0,X1,X2,X3,X4,X5] : multiply(X0,multiply(inverse(X0),X1)) = multiply(X2,multiply(inverse(X2),inverse(multiply(multiply(X3,inverse(multiply(X4,multiply(X5,multiply(multiply(inverse(X5),X1),X3))))),X4)))),
inference(paramodulation,[status(thm)],[f2391,f3074]) ).
fof(f3193,plain,
! [X0,X1,X2] : multiply(X0,multiply(inverse(X0),X1)) = multiply(X2,multiply(inverse(X2),X1)),
inference(forward_demodulation,[status(thm)],[f2391,f3192]) ).
fof(f4010,plain,
! [X0,X1,X2,X3] : X0 = multiply(X1,multiply(multiply(inverse(X1),inverse(multiply(multiply(X2,inverse(X2)),X3))),multiply(X3,X0))),
inference(paramodulation,[status(thm)],[f3179,f2540]) ).
fof(f6169,plain,
! [X0,X1] : multiply(X0,inverse(multiply(X1,inverse(X1)))) = X0,
inference(paramodulation,[status(thm)],[f4010,f2983]) ).
fof(f6305,plain,
! [X0,X1,X2,X3] : X0 = multiply(X1,multiply(multiply(inverse(X1),inverse(multiply(X2,inverse(X2)))),multiply(inverse(multiply(X3,inverse(X3))),X0))),
inference(paramodulation,[status(thm)],[f6169,f4010]) ).
fof(f6306,plain,
! [X0,X1,X2] : X0 = multiply(X1,multiply(inverse(X1),multiply(inverse(multiply(X2,inverse(X2))),X0))),
inference(forward_demodulation,[status(thm)],[f6169,f6305]) ).
fof(f6312,plain,
! [X0,X1,X2] : multiply(inverse(multiply(X0,inverse(X1))),multiply(X2,multiply(inverse(X2),X0))) = X1,
inference(paramodulation,[status(thm)],[f6169,f2494]) ).
fof(f6476,plain,
! [X0,X1,X2] : inverse(multiply(X0,inverse(X0))) = multiply(X1,multiply(inverse(X1),inverse(multiply(X2,inverse(X2))))),
inference(paramodulation,[status(thm)],[f6169,f6306]) ).
fof(f6477,plain,
! [X0,X1] : inverse(multiply(X0,inverse(X0))) = multiply(X1,inverse(X1)),
inference(forward_demodulation,[status(thm)],[f6169,f6476]) ).
fof(f7269,plain,
! [X0,X1] : multiply(X0,multiply(X1,inverse(X1))) = X0,
inference(paramodulation,[status(thm)],[f6477,f6169]) ).
fof(f7459,plain,
! [X0,X1,X2] : multiply(inverse(multiply(inverse(inverse(X0)),inverse(X1))),multiply(X0,inverse(multiply(X2,inverse(X2))))) = X1,
inference(paramodulation,[status(thm)],[f6477,f6312]) ).
fof(f7460,plain,
! [X0,X1] : multiply(inverse(multiply(inverse(inverse(X0)),inverse(X1))),X0) = X1,
inference(forward_demodulation,[status(thm)],[f6169,f7459]) ).
fof(f7461,plain,
! [X0,X1,X2] : multiply(X0,multiply(inverse(X0),inverse(inverse(X1)))) = multiply(X1,inverse(multiply(X2,inverse(X2)))),
inference(paramodulation,[status(thm)],[f6477,f3193]) ).
fof(f7462,plain,
! [X0,X1] : multiply(X0,multiply(inverse(X0),inverse(inverse(X1)))) = X1,
inference(forward_demodulation,[status(thm)],[f6169,f7461]) ).
fof(f7748,plain,
! [X0,X1,X2] : multiply(inverse(multiply(multiply(X0,inverse(X0)),inverse(X1))),multiply(X2,inverse(X2))) = X1,
inference(paramodulation,[status(thm)],[f7269,f6312]) ).
fof(f7749,plain,
! [X0,X1] : inverse(multiply(multiply(X0,inverse(X0)),inverse(X1))) = X1,
inference(forward_demodulation,[status(thm)],[f7269,f7748]) ).
fof(f8646,plain,
! [X0,X1] : multiply(multiply(X0,inverse(X0)),X1) = inverse(inverse(X1)),
inference(paramodulation,[status(thm)],[f6477,f7460]) ).
fof(f8847,plain,
! [X0] : inverse(inverse(inverse(inverse(X0)))) = X0,
inference(backward_demodulation,[status(thm)],[f8646,f7749]) ).
fof(f9253,plain,
! [X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = inverse(inverse(X1)),
inference(paramodulation,[status(thm)],[f8847,f7462]) ).
fof(f9626,plain,
! [X0,X1,X2] : multiply(multiply(X0,inverse(X0)),multiply(multiply(X1,inverse(X1)),X2)) = inverse(inverse(X2)),
inference(paramodulation,[status(thm)],[f6477,f9253]) ).
fof(f9627,plain,
! [X0,X1] : inverse(inverse(multiply(multiply(X0,inverse(X0)),X1))) = inverse(inverse(X1)),
inference(forward_demodulation,[status(thm)],[f8646,f9626]) ).
fof(f9628,plain,
! [X0] : inverse(inverse(inverse(inverse(X0)))) = inverse(inverse(X0)),
inference(forward_demodulation,[status(thm)],[f8646,f9627]) ).
fof(f9629,plain,
! [X0] : X0 = inverse(inverse(X0)),
inference(forward_demodulation,[status(thm)],[f8847,f9628]) ).
fof(f11480,plain,
! [X0,X1] : multiply(X0,inverse(X0)) = multiply(inverse(X1),X1),
inference(paramodulation,[status(thm)],[f9629,f3179]) ).
fof(f16301,plain,
! [X0] : multiply(inverse(a1),a1) != multiply(X0,inverse(X0)),
inference(paramodulation,[status(thm)],[f11480,f4]) ).
fof(f16302,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f16301,f11480]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GRP436-1 : TPTP v8.1.2. Released v2.6.0.
% 0.06/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.33 % Computer : n031.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Apr 30 01:00:13 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.12/0.34 % Drodi V3.6.0
% 6.91/1.24 % Refutation found
% 6.91/1.24 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 6.91/1.24 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 7.25/1.29 % Elapsed time: 0.941404 seconds
% 7.25/1.29 % CPU time: 7.326017 seconds
% 7.25/1.29 % Total memory used: 242.446 MB
% 7.25/1.29 % Net memory used: 239.332 MB
%------------------------------------------------------------------------------