TSTP Solution File: GRP715-10 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GRP715-10 : TPTP v8.1.2. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n010.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 : Wed May 31 12:12:36 EDT 2023
% Result : Unsatisfiable 46.96s 6.42s
% Output : CNFRefutation 48.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 7
% Syntax : Number of formulae : 36 ( 36 unt; 0 def)
% Number of atoms : 36 ( 35 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 35 (; 35 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f6,axiom,
! [A,B,C] : mult(mult(mult(A,B),C),B) = mult(A,mult(mult(B,C),B)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [A,B] : mult(A,mult(B,B)) = mult(mult(A,B),B),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [A] : mult(A,unit) = A,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [A] : mult(unit,A) = A,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,axiom,
mult(op_a,op_b) = unit,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,axiom,
mult(op_b,op_a) = unit,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,negated_conjecture,
mult(mult(x0,op_a),op_b) != x0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f18,plain,
! [X0,X1,X2] : mult(mult(mult(X0,X1),X2),X1) = mult(X0,mult(mult(X1,X2),X1)),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f19,plain,
! [X0,X1] : mult(X0,mult(X1,X1)) = mult(mult(X0,X1),X1),
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f20,plain,
! [X0] : mult(X0,unit) = X0,
inference(cnf_transformation,[status(esa)],[f8]) ).
fof(f21,plain,
! [X0] : mult(unit,X0) = X0,
inference(cnf_transformation,[status(esa)],[f9]) ).
fof(f22,plain,
mult(op_a,op_b) = unit,
inference(cnf_transformation,[status(esa)],[f10]) ).
fof(f23,plain,
mult(op_b,op_a) = unit,
inference(cnf_transformation,[status(esa)],[f11]) ).
fof(f24,plain,
mult(mult(x0,op_a),op_b) != x0,
inference(cnf_transformation,[status(esa)],[f12]) ).
fof(f26,plain,
mult(op_b,mult(op_a,op_a)) = mult(unit,op_a),
inference(paramodulation,[status(thm)],[f23,f19]) ).
fof(f31,plain,
! [X0,X1,X2] : mult(mult(X0,mult(mult(X1,X2),X1)),X2) = mult(mult(X0,X1),mult(mult(X2,X1),X2)),
inference(paramodulation,[status(thm)],[f18,f18]) ).
fof(f38,plain,
! [X0] : mult(mult(unit,X0),op_b) = mult(op_a,mult(mult(op_b,X0),op_b)),
inference(paramodulation,[status(thm)],[f22,f18]) ).
fof(f148,plain,
! [X0,X1,X2] : mult(X0,mult(mult(X1,mult(mult(X2,X1),X2)),X1)) = mult(mult(mult(X0,X1),X2),mult(mult(X1,X2),X1)),
inference(paramodulation,[status(thm)],[f18,f31]) ).
fof(f149,plain,
! [X0,X1,X2] : mult(X0,mult(mult(X1,X2),mult(mult(X1,X2),X1))) = mult(mult(mult(X0,X1),X2),mult(mult(X1,X2),X1)),
inference(forward_demodulation,[status(thm)],[f31,f148]) ).
fof(f335,plain,
mult(op_b,mult(op_a,op_a)) = op_a,
inference(backward_demodulation,[status(thm)],[f21,f26]) ).
fof(f336,plain,
! [X0] : mult(X0,op_b) = mult(op_a,mult(mult(op_b,X0),op_b)),
inference(backward_demodulation,[status(thm)],[f21,f38]) ).
fof(f685,plain,
mult(mult(op_a,op_a),op_b) = mult(op_a,mult(op_a,op_b)),
inference(paramodulation,[status(thm)],[f335,f336]) ).
fof(f686,plain,
mult(mult(op_a,op_a),op_b) = mult(op_a,unit),
inference(forward_demodulation,[status(thm)],[f22,f685]) ).
fof(f687,plain,
mult(mult(op_a,op_a),op_b) = op_a,
inference(forward_demodulation,[status(thm)],[f20,f686]) ).
fof(f15822,plain,
! [X0] : mult(X0,mult(mult(op_b,mult(op_a,op_a)),mult(mult(op_b,mult(op_a,op_a)),op_b))) = mult(mult(mult(X0,op_b),mult(op_a,op_a)),mult(op_a,op_b)),
inference(paramodulation,[status(thm)],[f335,f149]) ).
fof(f15823,plain,
! [X0] : mult(X0,mult(op_a,mult(mult(op_b,mult(op_a,op_a)),op_b))) = mult(mult(mult(X0,op_b),mult(op_a,op_a)),mult(op_a,op_b)),
inference(forward_demodulation,[status(thm)],[f335,f15822]) ).
fof(f15824,plain,
! [X0] : mult(X0,mult(mult(op_a,op_a),op_b)) = mult(mult(mult(X0,op_b),mult(op_a,op_a)),mult(op_a,op_b)),
inference(forward_demodulation,[status(thm)],[f336,f15823]) ).
fof(f15825,plain,
! [X0] : mult(X0,op_a) = mult(mult(mult(X0,op_b),mult(op_a,op_a)),mult(op_a,op_b)),
inference(forward_demodulation,[status(thm)],[f687,f15824]) ).
fof(f15826,plain,
! [X0] : mult(X0,op_a) = mult(mult(mult(X0,op_b),mult(op_a,op_a)),unit),
inference(forward_demodulation,[status(thm)],[f22,f15825]) ).
fof(f15827,plain,
! [X0] : mult(X0,op_a) = mult(mult(X0,op_b),mult(op_a,op_a)),
inference(forward_demodulation,[status(thm)],[f20,f15826]) ).
fof(f35356,plain,
! [X0] : mult(mult(X0,op_a),op_b) = mult(X0,mult(mult(op_b,mult(op_a,op_a)),op_b)),
inference(paramodulation,[status(thm)],[f15827,f18]) ).
fof(f35357,plain,
! [X0] : mult(mult(X0,op_a),op_b) = mult(X0,mult(op_a,op_b)),
inference(forward_demodulation,[status(thm)],[f335,f35356]) ).
fof(f35358,plain,
! [X0] : mult(mult(X0,op_a),op_b) = mult(X0,unit),
inference(forward_demodulation,[status(thm)],[f22,f35357]) ).
fof(f35359,plain,
! [X0] : mult(mult(X0,op_a),op_b) = X0,
inference(forward_demodulation,[status(thm)],[f20,f35358]) ).
fof(f35492,plain,
x0 != x0,
inference(backward_demodulation,[status(thm)],[f35359,f24]) ).
fof(f35493,plain,
$false,
inference(trivial_equality_resolution,[status(esa)],[f35492]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP715-10 : TPTP v8.1.2. Released v8.1.0.
% 0.03/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.34 % Computer : n010.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 May 30 11:23:07 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.14/0.35 % Drodi V3.5.1
% 46.96/6.42 % Refutation found
% 46.96/6.42 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 46.96/6.42 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 48.91/6.62 % Elapsed time: 6.252491 seconds
% 48.91/6.62 % CPU time: 48.518565 seconds
% 48.91/6.62 % Memory used: 415.821 MB
%------------------------------------------------------------------------------