TSTP Solution File: GRP702+1 by Drodi---3.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GRP702+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n017.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 12:12:34 EDT 2023
% Result : Theorem 0.15s 0.50s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 11
% Syntax : Number of formulae : 47 ( 22 unt; 0 def)
% Number of atoms : 79 ( 51 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 60 ( 28 ~; 25 |; 4 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 4 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 9 con; 0-2 aty)
% Number of variables : 44 (; 36 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [B,A] : ld(A,mult(A,B)) = B,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [A] : mult(A,unit) = A,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [C,B,A] : mult(A,mult(B,mult(B,C))) = mult(mult(mult(A,B),B),C),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [B,A] : mult(op_c,mult(A,B)) = mult(mult(op_c,A),B),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [B,A] : mult(A,mult(B,op_c)) = mult(mult(A,B),op_c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,axiom,
! [B,A] : mult(A,mult(op_c,B)) = mult(mult(A,op_c),B),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,axiom,
! [A] : op_d = ld(A,mult(op_c,A)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,conjecture,
! [X0,X1] :
( mult(op_d,mult(X0,X1)) = mult(mult(op_d,X0),X1)
& mult(X0,mult(X1,op_d)) = mult(mult(X0,X1),op_d)
& mult(X0,mult(op_d,X1)) = mult(mult(X0,op_d),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,negated_conjecture,
~ ! [X0,X1] :
( mult(op_d,mult(X0,X1)) = mult(mult(op_d,X0),X1)
& mult(X0,mult(X1,op_d)) = mult(mult(X0,X1),op_d)
& mult(X0,mult(op_d,X1)) = mult(mult(X0,op_d),X1) ),
inference(negated_conjecture,[status(cth)],[f14]) ).
fof(f17,plain,
! [X0,X1] : ld(X0,mult(X0,X1)) = X1,
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f20,plain,
! [X0] : mult(X0,unit) = X0,
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f22,plain,
! [X0,X1,X2] : mult(X0,mult(X1,mult(X1,X2))) = mult(mult(mult(X0,X1),X1),X2),
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f23,plain,
! [X0,X1] : mult(op_c,mult(X0,X1)) = mult(mult(op_c,X0),X1),
inference(cnf_transformation,[status(esa)],[f8]) ).
fof(f24,plain,
! [X0,X1] : mult(X0,mult(X1,op_c)) = mult(mult(X0,X1),op_c),
inference(cnf_transformation,[status(esa)],[f9]) ).
fof(f25,plain,
! [X0,X1] : mult(X0,mult(op_c,X1)) = mult(mult(X0,op_c),X1),
inference(cnf_transformation,[status(esa)],[f10]) ).
fof(f26,plain,
! [X0] : op_d = ld(X0,mult(op_c,X0)),
inference(cnf_transformation,[status(esa)],[f11]) ).
fof(f29,plain,
? [X0,X1] :
( mult(op_d,mult(X0,X1)) != mult(mult(op_d,X0),X1)
| mult(X0,mult(X1,op_d)) != mult(mult(X0,X1),op_d)
| mult(X0,mult(op_d,X1)) != mult(mult(X0,op_d),X1) ),
inference(pre_NNF_transformation,[status(esa)],[f15]) ).
fof(f30,plain,
( ? [X0,X1] : mult(op_d,mult(X0,X1)) != mult(mult(op_d,X0),X1)
| ? [X0,X1] : mult(X0,mult(X1,op_d)) != mult(mult(X0,X1),op_d)
| ? [X0,X1] : mult(X0,mult(op_d,X1)) != mult(mult(X0,op_d),X1) ),
inference(miniscoping,[status(esa)],[f29]) ).
fof(f31,plain,
( mult(op_d,mult(sk0_0,sk0_1)) != mult(mult(op_d,sk0_0),sk0_1)
| mult(sk0_2,mult(sk0_3,op_d)) != mult(mult(sk0_2,sk0_3),op_d)
| mult(sk0_4,mult(op_d,sk0_5)) != mult(mult(sk0_4,op_d),sk0_5) ),
inference(skolemization,[status(esa)],[f30]) ).
fof(f32,plain,
( mult(op_d,mult(sk0_0,sk0_1)) != mult(mult(op_d,sk0_0),sk0_1)
| mult(sk0_2,mult(sk0_3,op_d)) != mult(mult(sk0_2,sk0_3),op_d)
| mult(sk0_4,mult(op_d,sk0_5)) != mult(mult(sk0_4,op_d),sk0_5) ),
inference(cnf_transformation,[status(esa)],[f31]) ).
fof(f33,plain,
( spl0_0
<=> mult(op_d,mult(sk0_0,sk0_1)) = mult(mult(op_d,sk0_0),sk0_1) ),
introduced(split_symbol_definition) ).
fof(f35,plain,
( mult(op_d,mult(sk0_0,sk0_1)) != mult(mult(op_d,sk0_0),sk0_1)
| spl0_0 ),
inference(component_clause,[status(thm)],[f33]) ).
fof(f36,plain,
( spl0_1
<=> mult(sk0_2,mult(sk0_3,op_d)) = mult(mult(sk0_2,sk0_3),op_d) ),
introduced(split_symbol_definition) ).
fof(f38,plain,
( mult(sk0_2,mult(sk0_3,op_d)) != mult(mult(sk0_2,sk0_3),op_d)
| spl0_1 ),
inference(component_clause,[status(thm)],[f36]) ).
fof(f39,plain,
( spl0_2
<=> mult(sk0_4,mult(op_d,sk0_5)) = mult(mult(sk0_4,op_d),sk0_5) ),
introduced(split_symbol_definition) ).
fof(f41,plain,
( mult(sk0_4,mult(op_d,sk0_5)) != mult(mult(sk0_4,op_d),sk0_5)
| spl0_2 ),
inference(component_clause,[status(thm)],[f39]) ).
fof(f42,plain,
( ~ spl0_0
| ~ spl0_1
| ~ spl0_2 ),
inference(split_clause,[status(thm)],[f32,f33,f36,f39]) ).
fof(f3279,plain,
! [X0,X1] : mult(X0,mult(X1,mult(X1,unit))) = mult(mult(X0,X1),X1),
inference(paramodulation,[status(thm)],[f22,f20]) ).
fof(f3280,plain,
! [X0,X1] : mult(X0,mult(X1,X1)) = mult(mult(X0,X1),X1),
inference(forward_demodulation,[status(thm)],[f20,f3279]) ).
fof(f4971,plain,
! [X0,X1] : ld(mult(X0,X1),mult(X0,mult(X1,X1))) = X1,
inference(paramodulation,[status(thm)],[f3280,f17]) ).
fof(f5822,plain,
op_d = op_c,
inference(paramodulation,[status(thm)],[f26,f4971]) ).
fof(f5902,plain,
( mult(sk0_4,mult(op_d,sk0_5)) != mult(mult(sk0_4,op_c),sk0_5)
| spl0_2 ),
inference(backward_demodulation,[status(thm)],[f5822,f41]) ).
fof(f5903,plain,
( mult(sk0_4,mult(op_c,sk0_5)) != mult(mult(sk0_4,op_c),sk0_5)
| spl0_2 ),
inference(forward_demodulation,[status(thm)],[f5822,f5902]) ).
fof(f5904,plain,
( mult(sk0_4,mult(op_c,sk0_5)) != mult(sk0_4,mult(op_c,sk0_5))
| spl0_2 ),
inference(forward_demodulation,[status(thm)],[f25,f5903]) ).
fof(f5905,plain,
( $false
| spl0_2 ),
inference(trivial_equality_resolution,[status(esa)],[f5904]) ).
fof(f5906,plain,
spl0_2,
inference(contradiction_clause,[status(thm)],[f5905]) ).
fof(f5908,plain,
( mult(op_c,mult(sk0_0,sk0_1)) != mult(mult(op_d,sk0_0),sk0_1)
| spl0_0 ),
inference(forward_demodulation,[status(thm)],[f5822,f35]) ).
fof(f5909,plain,
( mult(op_c,mult(sk0_0,sk0_1)) != mult(mult(op_c,sk0_0),sk0_1)
| spl0_0 ),
inference(forward_demodulation,[status(thm)],[f5822,f5908]) ).
fof(f5910,plain,
( mult(op_c,mult(sk0_0,sk0_1)) != mult(op_c,mult(sk0_0,sk0_1))
| spl0_0 ),
inference(forward_demodulation,[status(thm)],[f23,f5909]) ).
fof(f5911,plain,
( $false
| spl0_0 ),
inference(trivial_equality_resolution,[status(esa)],[f5910]) ).
fof(f5912,plain,
spl0_0,
inference(contradiction_clause,[status(thm)],[f5911]) ).
fof(f5915,plain,
( mult(sk0_2,mult(sk0_3,op_c)) != mult(mult(sk0_2,sk0_3),op_d)
| spl0_1 ),
inference(forward_demodulation,[status(thm)],[f5822,f38]) ).
fof(f5916,plain,
( mult(sk0_2,mult(sk0_3,op_c)) != mult(mult(sk0_2,sk0_3),op_c)
| spl0_1 ),
inference(forward_demodulation,[status(thm)],[f5822,f5915]) ).
fof(f5917,plain,
( mult(sk0_2,mult(sk0_3,op_c)) != mult(sk0_2,mult(sk0_3,op_c))
| spl0_1 ),
inference(forward_demodulation,[status(thm)],[f24,f5916]) ).
fof(f5918,plain,
( $false
| spl0_1 ),
inference(trivial_equality_resolution,[status(esa)],[f5917]) ).
fof(f5919,plain,
spl0_1,
inference(contradiction_clause,[status(thm)],[f5918]) ).
fof(f5920,plain,
$false,
inference(sat_refutation,[status(thm)],[f42,f5906,f5912,f5919]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : GRP702+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.31 % Computer : n017.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Tue May 30 10:55:55 EDT 2023
% 0.10/0.31 % CPUTime :
% 0.15/0.31 % Drodi V3.5.1
% 0.15/0.50 % Refutation found
% 0.15/0.50 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.15/0.50 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.15/0.52 % Elapsed time: 0.206403 seconds
% 0.15/0.52 % CPU time: 1.041239 seconds
% 0.15/0.52 % Memory used: 62.156 MB
%------------------------------------------------------------------------------