TSTP Solution File: GRP775+1 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GRP775+1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n023.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 20:21:35 EDT 2024
% Result : Theorem 4.17s 0.88s
% Output : CNFRefutation 4.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 11
% Syntax : Number of formulae : 95 ( 19 unt; 0 def)
% Number of atoms : 244 ( 112 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 259 ( 110 ~; 114 |; 24 &)
% ( 10 <=>; 0 =>; 0 <=; 1 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 10 ( 8 usr; 6 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 126 ( 119 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [C,B,A] : product(product(A,B),C) = product(A,product(B,C)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [A] : product(A,A) = A,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X0,X1] :
( l(X0,X1)
<=> ( product(X0,X1) = X0
& product(X1,X0) = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X2,X3] :
( r(X2,X3)
<=> ( product(X2,X3) = X3
& product(X3,X2) = X2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [X4,X5] :
( d(X4,X5)
<=> ? [X6] :
( r(X4,X6)
& l(X6,X5) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,conjecture,
! [X7,X8] :
( d(X7,X8)
<=> ( product(X7,product(X8,X7)) = X7
& product(X8,product(X7,X8)) = X8 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,negated_conjecture,
~ ! [X7,X8] :
( d(X7,X8)
<=> ( product(X7,product(X8,X7)) = X7
& product(X8,product(X7,X8)) = X8 ) ),
inference(negated_conjecture,[status(cth)],[f6]) ).
fof(f8,plain,
! [X0,X1,X2] : product(product(X0,X1),X2) = product(X0,product(X1,X2)),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f9,plain,
! [X0] : product(X0,X0) = X0,
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f10,plain,
! [X0,X1] :
( ( ~ l(X0,X1)
| ( product(X0,X1) = X0
& product(X1,X0) = X1 ) )
& ( l(X0,X1)
| product(X0,X1) != X0
| product(X1,X0) != X1 ) ),
inference(NNF_transformation,[status(esa)],[f3]) ).
fof(f11,plain,
( ! [X0,X1] :
( ~ l(X0,X1)
| ( product(X0,X1) = X0
& product(X1,X0) = X1 ) )
& ! [X0,X1] :
( l(X0,X1)
| product(X0,X1) != X0
| product(X1,X0) != X1 ) ),
inference(miniscoping,[status(esa)],[f10]) ).
fof(f12,plain,
! [X0,X1] :
( ~ l(X0,X1)
| product(X0,X1) = X0 ),
inference(cnf_transformation,[status(esa)],[f11]) ).
fof(f13,plain,
! [X0,X1] :
( ~ l(X0,X1)
| product(X1,X0) = X1 ),
inference(cnf_transformation,[status(esa)],[f11]) ).
fof(f14,plain,
! [X0,X1] :
( l(X0,X1)
| product(X0,X1) != X0
| product(X1,X0) != X1 ),
inference(cnf_transformation,[status(esa)],[f11]) ).
fof(f15,plain,
! [X2,X3] :
( ( ~ r(X2,X3)
| ( product(X2,X3) = X3
& product(X3,X2) = X2 ) )
& ( r(X2,X3)
| product(X2,X3) != X3
| product(X3,X2) != X2 ) ),
inference(NNF_transformation,[status(esa)],[f4]) ).
fof(f16,plain,
( ! [X2,X3] :
( ~ r(X2,X3)
| ( product(X2,X3) = X3
& product(X3,X2) = X2 ) )
& ! [X2,X3] :
( r(X2,X3)
| product(X2,X3) != X3
| product(X3,X2) != X2 ) ),
inference(miniscoping,[status(esa)],[f15]) ).
fof(f17,plain,
! [X0,X1] :
( ~ r(X0,X1)
| product(X0,X1) = X1 ),
inference(cnf_transformation,[status(esa)],[f16]) ).
fof(f18,plain,
! [X0,X1] :
( ~ r(X0,X1)
| product(X1,X0) = X0 ),
inference(cnf_transformation,[status(esa)],[f16]) ).
fof(f19,plain,
! [X0,X1] :
( r(X0,X1)
| product(X0,X1) != X1
| product(X1,X0) != X0 ),
inference(cnf_transformation,[status(esa)],[f16]) ).
fof(f20,plain,
! [X4,X5] :
( ( ~ d(X4,X5)
| ? [X6] :
( r(X4,X6)
& l(X6,X5) ) )
& ( d(X4,X5)
| ! [X6] :
( ~ r(X4,X6)
| ~ l(X6,X5) ) ) ),
inference(NNF_transformation,[status(esa)],[f5]) ).
fof(f21,plain,
( ! [X4,X5] :
( ~ d(X4,X5)
| ? [X6] :
( r(X4,X6)
& l(X6,X5) ) )
& ! [X4,X5] :
( d(X4,X5)
| ! [X6] :
( ~ r(X4,X6)
| ~ l(X6,X5) ) ) ),
inference(miniscoping,[status(esa)],[f20]) ).
fof(f22,plain,
( ! [X4,X5] :
( ~ d(X4,X5)
| ( r(X4,sk0_0(X5,X4))
& l(sk0_0(X5,X4),X5) ) )
& ! [X4,X5] :
( d(X4,X5)
| ! [X6] :
( ~ r(X4,X6)
| ~ l(X6,X5) ) ) ),
inference(skolemization,[status(esa)],[f21]) ).
fof(f23,plain,
! [X0,X1] :
( ~ d(X0,X1)
| r(X0,sk0_0(X1,X0)) ),
inference(cnf_transformation,[status(esa)],[f22]) ).
fof(f24,plain,
! [X0,X1] :
( ~ d(X0,X1)
| l(sk0_0(X1,X0),X1) ),
inference(cnf_transformation,[status(esa)],[f22]) ).
fof(f25,plain,
! [X0,X1,X2] :
( d(X0,X1)
| ~ r(X0,X2)
| ~ l(X2,X1) ),
inference(cnf_transformation,[status(esa)],[f22]) ).
fof(f26,plain,
? [X7,X8] :
( d(X7,X8)
<~> ( product(X7,product(X8,X7)) = X7
& product(X8,product(X7,X8)) = X8 ) ),
inference(pre_NNF_transformation,[status(esa)],[f7]) ).
fof(f27,plain,
? [X7,X8] :
( ( d(X7,X8)
| ( product(X7,product(X8,X7)) = X7
& product(X8,product(X7,X8)) = X8 ) )
& ( ~ d(X7,X8)
| product(X7,product(X8,X7)) != X7
| product(X8,product(X7,X8)) != X8 ) ),
inference(NNF_transformation,[status(esa)],[f26]) ).
fof(f28,plain,
( ( d(sk0_1,sk0_2)
| ( product(sk0_1,product(sk0_2,sk0_1)) = sk0_1
& product(sk0_2,product(sk0_1,sk0_2)) = sk0_2 ) )
& ( ~ d(sk0_1,sk0_2)
| product(sk0_1,product(sk0_2,sk0_1)) != sk0_1
| product(sk0_2,product(sk0_1,sk0_2)) != sk0_2 ) ),
inference(skolemization,[status(esa)],[f27]) ).
fof(f29,plain,
( d(sk0_1,sk0_2)
| product(sk0_1,product(sk0_2,sk0_1)) = sk0_1 ),
inference(cnf_transformation,[status(esa)],[f28]) ).
fof(f30,plain,
( d(sk0_1,sk0_2)
| product(sk0_2,product(sk0_1,sk0_2)) = sk0_2 ),
inference(cnf_transformation,[status(esa)],[f28]) ).
fof(f31,plain,
( ~ d(sk0_1,sk0_2)
| product(sk0_1,product(sk0_2,sk0_1)) != sk0_1
| product(sk0_2,product(sk0_1,sk0_2)) != sk0_2 ),
inference(cnf_transformation,[status(esa)],[f28]) ).
fof(f32,plain,
( spl0_0
<=> d(sk0_1,sk0_2) ),
introduced(split_symbol_definition) ).
fof(f33,plain,
( d(sk0_1,sk0_2)
| ~ spl0_0 ),
inference(component_clause,[status(thm)],[f32]) ).
fof(f34,plain,
( ~ d(sk0_1,sk0_2)
| spl0_0 ),
inference(component_clause,[status(thm)],[f32]) ).
fof(f35,plain,
( spl0_1
<=> product(sk0_1,product(sk0_2,sk0_1)) = sk0_1 ),
introduced(split_symbol_definition) ).
fof(f36,plain,
( product(sk0_1,product(sk0_2,sk0_1)) = sk0_1
| ~ spl0_1 ),
inference(component_clause,[status(thm)],[f35]) ).
fof(f37,plain,
( product(sk0_1,product(sk0_2,sk0_1)) != sk0_1
| spl0_1 ),
inference(component_clause,[status(thm)],[f35]) ).
fof(f38,plain,
( spl0_0
| spl0_1 ),
inference(split_clause,[status(thm)],[f29,f32,f35]) ).
fof(f39,plain,
( spl0_2
<=> product(sk0_2,product(sk0_1,sk0_2)) = sk0_2 ),
introduced(split_symbol_definition) ).
fof(f42,plain,
( spl0_0
| spl0_2 ),
inference(split_clause,[status(thm)],[f30,f32,f39]) ).
fof(f43,plain,
( ~ spl0_0
| ~ spl0_1
| ~ spl0_2 ),
inference(split_clause,[status(thm)],[f31,f32,f35,f39]) ).
fof(f44,plain,
! [X0,X1] : product(X0,X1) = product(X0,product(X1,product(X0,X1))),
inference(paramodulation,[status(thm)],[f9,f8]) ).
fof(f48,plain,
! [X0,X1] : product(X0,X1) = product(X0,product(X0,X1)),
inference(paramodulation,[status(thm)],[f9,f8]) ).
fof(f50,plain,
! [X0,X1,X2] : product(product(X0,X1),X2) = product(X0,product(X1,product(product(X0,X1),X2))),
inference(paramodulation,[status(thm)],[f8,f48]) ).
fof(f51,plain,
! [X0,X1,X2] : product(X0,product(X1,X2)) = product(X0,product(X1,product(product(X0,X1),X2))),
inference(forward_demodulation,[status(thm)],[f8,f50]) ).
fof(f52,plain,
! [X0,X1,X2] : product(X0,product(X1,X2)) = product(X0,product(X1,product(X0,product(X1,X2)))),
inference(forward_demodulation,[status(thm)],[f8,f51]) ).
fof(f97,plain,
! [X0,X1,X2,X3] : product(product(X0,X1),product(X2,X3)) = product(X0,product(X1,product(X2,product(product(X0,X1),product(X2,X3))))),
inference(paramodulation,[status(thm)],[f8,f52]) ).
fof(f98,plain,
! [X0,X1,X2,X3] : product(X0,product(X1,product(X2,X3))) = product(X0,product(X1,product(X2,product(product(X0,X1),product(X2,X3))))),
inference(forward_demodulation,[status(thm)],[f8,f97]) ).
fof(f99,plain,
! [X0,X1,X2,X3] : product(X0,product(X1,product(X2,X3))) = product(X0,product(X1,product(X2,product(X0,product(X1,product(X2,X3)))))),
inference(forward_demodulation,[status(thm)],[f8,f98]) ).
fof(f330,plain,
! [X0,X1,X2] : product(X0,product(product(X1,X2),product(X1,X2))) = product(X0,product(product(X1,X2),product(X1,product(X0,product(X1,X2))))),
inference(paramodulation,[status(thm)],[f9,f99]) ).
fof(f331,plain,
! [X0,X1,X2] : product(X0,product(X1,product(X2,product(X1,X2)))) = product(X0,product(product(X1,X2),product(X1,product(X0,product(X1,X2))))),
inference(forward_demodulation,[status(thm)],[f8,f330]) ).
fof(f332,plain,
! [X0,X1,X2] : product(X0,product(X1,X2)) = product(X0,product(product(X1,X2),product(X1,product(X0,product(X1,X2))))),
inference(forward_demodulation,[status(thm)],[f44,f331]) ).
fof(f333,plain,
! [X0,X1,X2] : product(X0,product(X1,X2)) = product(X0,product(X1,product(X2,product(X1,product(X0,product(X1,X2)))))),
inference(forward_demodulation,[status(thm)],[f8,f332]) ).
fof(f586,plain,
! [X0,X1,X2] :
( product(X0,X1) != X1
| product(X1,X0) != X0
| d(X0,X2)
| ~ l(X1,X2) ),
inference(resolution,[status(thm)],[f19,f25]) ).
fof(f587,plain,
! [X0,X1,X2] :
( product(X0,X1) != X1
| product(X1,X0) != X0
| d(X0,X2)
| product(X1,X2) != X1
| product(X2,X1) != X2 ),
inference(resolution,[status(thm)],[f586,f14]) ).
fof(f893,plain,
( l(sk0_0(sk0_2,sk0_1),sk0_2)
| ~ spl0_0 ),
inference(resolution,[status(thm)],[f33,f24]) ).
fof(f894,plain,
( r(sk0_1,sk0_0(sk0_2,sk0_1))
| ~ spl0_0 ),
inference(resolution,[status(thm)],[f33,f23]) ).
fof(f896,plain,
( product(sk0_2,sk0_0(sk0_2,sk0_1)) = sk0_2
| ~ spl0_0 ),
inference(resolution,[status(thm)],[f893,f13]) ).
fof(f897,plain,
( product(sk0_0(sk0_2,sk0_1),sk0_2) = sk0_0(sk0_2,sk0_1)
| ~ spl0_0 ),
inference(resolution,[status(thm)],[f893,f12]) ).
fof(f899,plain,
( product(sk0_0(sk0_2,sk0_1),sk0_1) = sk0_1
| ~ spl0_0 ),
inference(resolution,[status(thm)],[f894,f18]) ).
fof(f900,plain,
( product(sk0_1,sk0_0(sk0_2,sk0_1)) = sk0_0(sk0_2,sk0_1)
| ~ spl0_0 ),
inference(resolution,[status(thm)],[f894,f17]) ).
fof(f923,plain,
! [X0] :
( product(sk0_2,X0) = product(sk0_2,product(sk0_0(sk0_2,sk0_1),X0))
| ~ spl0_0 ),
inference(paramodulation,[status(thm)],[f896,f8]) ).
fof(f944,plain,
! [X0] :
( product(sk0_1,X0) = product(sk0_0(sk0_2,sk0_1),product(sk0_1,X0))
| ~ spl0_0 ),
inference(paramodulation,[status(thm)],[f899,f8]) ).
fof(f960,plain,
! [X0] :
( product(sk0_0(sk0_2,sk0_1),X0) = product(sk0_0(sk0_2,sk0_1),product(sk0_2,X0))
| ~ spl0_0 ),
inference(paramodulation,[status(thm)],[f897,f8]) ).
fof(f1227,plain,
! [X0] :
( product(sk0_0(sk0_2,sk0_1),product(X0,product(sk0_2,product(sk0_0(sk0_2,sk0_1),product(sk0_2,X0))))) = product(sk0_0(sk0_2,sk0_1),product(sk0_2,X0))
| ~ spl0_0 ),
inference(paramodulation,[status(thm)],[f333,f960]) ).
fof(f1228,plain,
! [X0] :
( product(sk0_0(sk0_2,sk0_1),product(X0,product(sk0_2,product(sk0_2,X0)))) = product(sk0_0(sk0_2,sk0_1),product(sk0_2,X0))
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f923,f1227]) ).
fof(f1229,plain,
! [X0] :
( product(sk0_0(sk0_2,sk0_1),product(X0,product(sk0_2,X0))) = product(sk0_0(sk0_2,sk0_1),product(sk0_2,X0))
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f48,f1228]) ).
fof(f1230,plain,
! [X0] :
( product(sk0_0(sk0_2,sk0_1),product(X0,product(sk0_2,X0))) = product(sk0_0(sk0_2,sk0_1),X0)
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f960,f1229]) ).
fof(f1494,plain,
( product(sk0_1,product(sk0_2,sk0_1)) = product(sk0_0(sk0_2,sk0_1),sk0_1)
| ~ spl0_0 ),
inference(paramodulation,[status(thm)],[f944,f1230]) ).
fof(f1495,plain,
( product(sk0_1,product(sk0_2,sk0_1)) = sk0_1
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f899,f1494]) ).
fof(f1496,plain,
( $false
| spl0_1
| ~ spl0_0 ),
inference(forward_subsumption_resolution,[status(thm)],[f1495,f37]) ).
fof(f1497,plain,
( spl0_1
| ~ spl0_0 ),
inference(contradiction_clause,[status(thm)],[f1496]) ).
fof(f1498,plain,
! [X0] :
( product(sk0_1,X0) != X0
| product(X0,sk0_1) != sk0_1
| product(X0,sk0_2) != X0
| product(sk0_2,X0) != sk0_2
| spl0_0 ),
inference(resolution,[status(thm)],[f34,f587]) ).
fof(f1529,plain,
! [X0] :
( product(sk0_1,X0) = product(sk0_1,product(product(sk0_2,sk0_1),X0))
| ~ spl0_1 ),
inference(paramodulation,[status(thm)],[f36,f8]) ).
fof(f1530,plain,
! [X0] :
( product(sk0_1,X0) = product(sk0_1,product(sk0_2,product(sk0_1,X0)))
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f8,f1529]) ).
fof(f1575,plain,
! [X0,X1] :
( product(sk0_1,product(X0,X1)) != product(X0,X1)
| product(X0,product(X1,sk0_1)) != sk0_1
| product(product(X0,X1),sk0_2) != product(X0,X1)
| product(sk0_2,product(X0,X1)) != sk0_2
| spl0_0 ),
inference(paramodulation,[status(thm)],[f8,f1498]) ).
fof(f1576,plain,
! [X0,X1] :
( product(sk0_1,product(X0,X1)) != product(X0,X1)
| product(X0,product(X1,sk0_1)) != sk0_1
| product(X0,product(X1,sk0_2)) != product(X0,X1)
| product(sk0_2,product(X0,X1)) != sk0_2
| spl0_0 ),
inference(forward_demodulation,[status(thm)],[f8,f1575]) ).
fof(f1754,plain,
( product(sk0_1,sk0_0(sk0_2,sk0_1)) = product(sk0_1,product(sk0_2,sk0_0(sk0_2,sk0_1)))
| ~ spl0_1
| ~ spl0_0 ),
inference(paramodulation,[status(thm)],[f900,f1530]) ).
fof(f1755,plain,
( sk0_0(sk0_2,sk0_1) = product(sk0_1,product(sk0_2,sk0_0(sk0_2,sk0_1)))
| ~ spl0_1
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f900,f1754]) ).
fof(f1756,plain,
( sk0_0(sk0_2,sk0_1) = product(sk0_1,sk0_2)
| ~ spl0_1
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f896,f1755]) ).
fof(f5389,plain,
( product(sk0_2,product(sk0_1,sk0_2)) = sk0_2
| ~ spl0_1
| ~ spl0_0 ),
inference(backward_demodulation,[status(thm)],[f1756,f896]) ).
fof(f5390,plain,
( spl0_2
| ~ spl0_1
| ~ spl0_0 ),
inference(split_clause,[status(thm)],[f5389,f39,f35,f32]) ).
fof(f5814,plain,
( spl0_20
<=> product(sk0_1,product(sk0_1,sk0_2)) = product(sk0_1,sk0_2) ),
introduced(split_symbol_definition) ).
fof(f5816,plain,
( product(sk0_1,product(sk0_1,sk0_2)) != product(sk0_1,sk0_2)
| spl0_20 ),
inference(component_clause,[status(thm)],[f5814]) ).
fof(f5817,plain,
( spl0_21
<=> product(sk0_1,product(sk0_2,sk0_2)) = product(sk0_1,sk0_2) ),
introduced(split_symbol_definition) ).
fof(f5819,plain,
( product(sk0_1,product(sk0_2,sk0_2)) != product(sk0_1,sk0_2)
| spl0_21 ),
inference(component_clause,[status(thm)],[f5817]) ).
fof(f5820,plain,
( product(sk0_1,product(sk0_1,sk0_2)) != product(sk0_1,sk0_2)
| product(sk0_1,product(sk0_2,sk0_2)) != product(sk0_1,sk0_2)
| product(sk0_2,product(sk0_1,sk0_2)) != sk0_2
| spl0_0
| ~ spl0_1 ),
inference(resolution,[status(thm)],[f1576,f36]) ).
fof(f5821,plain,
( ~ spl0_20
| ~ spl0_21
| ~ spl0_2
| spl0_0
| ~ spl0_1 ),
inference(split_clause,[status(thm)],[f5820,f5814,f5817,f39,f32,f35]) ).
fof(f5846,plain,
( product(sk0_1,sk0_2) != product(sk0_1,sk0_2)
| spl0_20 ),
inference(forward_demodulation,[status(thm)],[f48,f5816]) ).
fof(f5847,plain,
( $false
| spl0_20 ),
inference(trivial_equality_resolution,[status(esa)],[f5846]) ).
fof(f5848,plain,
spl0_20,
inference(contradiction_clause,[status(thm)],[f5847]) ).
fof(f5849,plain,
( product(sk0_1,sk0_2) != product(sk0_1,sk0_2)
| spl0_21 ),
inference(forward_demodulation,[status(thm)],[f9,f5819]) ).
fof(f5850,plain,
( $false
| spl0_21 ),
inference(trivial_equality_resolution,[status(esa)],[f5849]) ).
fof(f5851,plain,
spl0_21,
inference(contradiction_clause,[status(thm)],[f5850]) ).
fof(f5852,plain,
$false,
inference(sat_refutation,[status(thm)],[f38,f42,f43,f1497,f5390,f5821,f5848,f5851]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP775+1 : TPTP v8.1.2. Released v4.1.0.
% 0.07/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.33 % Computer : n023.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 300
% 0.14/0.33 % DateTime : Tue Apr 30 00:49:25 EDT 2024
% 0.14/0.33 % CPUTime :
% 0.14/0.34 % Drodi V3.6.0
% 4.17/0.88 % Refutation found
% 4.17/0.88 % SZS status Theorem for theBenchmark: Theorem is valid
% 4.17/0.88 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 4.34/0.92 % Elapsed time: 0.568704 seconds
% 4.34/0.92 % CPU time: 4.409633 seconds
% 4.34/0.92 % Total memory used: 129.789 MB
% 4.34/0.92 % Net memory used: 127.680 MB
%------------------------------------------------------------------------------