TSTP Solution File: SWW196+1 by Vampire-SAT---4.9
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.9
% Problem : SWW196+1 : TPTP v8.2.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d SAT
% Computer : n013.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 : Mon Jun 24 18:47:59 EDT 2024
% Result : Theorem 2.26s 0.75s
% Output : Refutation 2.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 16
% Syntax : Number of formulae : 73 ( 47 unt; 0 def)
% Number of atoms : 105 ( 63 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 62 ( 30 ~; 23 |; 3 &)
% ( 4 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 4 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 4 con; 0-3 aty)
% Number of variables : 53 ( 47 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f10294,plain,
$false,
inference(avatar_sat_refutation,[],[f8164,f10291,f10293]) ).
fof(f10293,plain,
~ spl80_1,
inference(avatar_contradiction_clause,[],[f10292]) ).
fof(f10292,plain,
( $false
| ~ spl80_1 ),
inference(resolution,[],[f8160,f3661]) ).
fof(f3661,plain,
~ v_thesis____,
inference(cnf_transformation,[],[f1174]) ).
fof(f1174,plain,
~ v_thesis____,
inference(flattening,[],[f1173]) ).
fof(f1173,negated_conjecture,
~ v_thesis____,
inference(negated_conjecture,[],[f1172]) ).
fof(f1172,conjecture,
v_thesis____,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f8160,plain,
( v_thesis____
| ~ spl80_1 ),
inference(avatar_component_clause,[],[f8158]) ).
fof(f8158,plain,
( spl80_1
<=> v_thesis____ ),
introduced(avatar_definition,[new_symbols(naming,[spl80_1])]) ).
fof(f10291,plain,
~ spl80_2,
inference(avatar_contradiction_clause,[],[f10290]) ).
fof(f10290,plain,
( $false
| ~ spl80_2 ),
inference(trivial_inequality_removal,[],[f10244]) ).
fof(f10244,plain,
( v_na____ != v_na____
| ~ spl80_2 ),
inference(superposition,[],[f8163,f10217]) ).
fof(f10217,plain,
v_na____ = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,sK63(v_na____),sK63(v_na____)),
inference(resolution,[],[f7093,f3843]) ).
fof(f3843,plain,
c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,v_na____),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,v_na____),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f7093,plain,
! [X0] :
( ~ c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,X0)
| c_Groups_Oplus__class_Oplus(tc_Nat_Onat,sK63(X0),sK63(X0)) = X0 ),
inference(forward_demodulation,[],[f7092,f6965]) ).
fof(f6965,plain,
! [X0] : c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X0) = c_Groups_Otimes__class_Otimes(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X0),
inference(forward_demodulation,[],[f6964,f6926]) ).
fof(f6926,plain,
c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),
inference(forward_demodulation,[],[f6920,f6916]) ).
fof(f6916,plain,
! [X0] : c_Groups_Oplus__class_Oplus(tc_Int_Oint,X0,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = X0,
inference(forward_demodulation,[],[f3915,f3854]) ).
fof(f3854,plain,
c_Int_OPls = c_Groups_Ozero__class_Ozero(tc_Int_Oint),
inference(cnf_transformation,[],[f40]) ).
fof(f40,axiom,
c_Int_OPls = c_Groups_Ozero__class_Ozero(tc_Int_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f3915,plain,
! [X0] : c_Groups_Oplus__class_Oplus(tc_Int_Oint,X0,c_Int_OPls) = X0,
inference(cnf_transformation,[],[f1205]) ).
fof(f1205,plain,
! [X0] : c_Groups_Oplus__class_Oplus(tc_Int_Oint,X0,c_Int_OPls) = X0,
inference(rectify,[],[f301]) ).
fof(f301,axiom,
! [X6] : c_Groups_Oplus__class_Oplus(tc_Int_Oint,X6,c_Int_OPls) = X6,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f6920,plain,
c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))),
inference(backward_demodulation,[],[f6902,f6916]) ).
fof(f6902,plain,
c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))),
inference(forward_demodulation,[],[f6901,f3854]) ).
fof(f6901,plain,
c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))),
inference(forward_demodulation,[],[f5404,f5396]) ).
fof(f5396,plain,
c_Groups_Oone__class_Oone(tc_Nat_Onat) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),
inference(definition_unfolding,[],[f3868,f3937]) ).
fof(f3937,plain,
! [X0] : c_Nat_OSuc(X0) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,c_Groups_Oone__class_Oone(tc_Nat_Onat)),
inference(cnf_transformation,[],[f1227]) ).
fof(f1227,plain,
! [X0] : c_Nat_OSuc(X0) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,c_Groups_Oone__class_Oone(tc_Nat_Onat)),
inference(rectify,[],[f838]) ).
fof(f838,axiom,
! [X19] : c_Nat_OSuc(X19) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X19,c_Groups_Oone__class_Oone(tc_Nat_Onat)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f3868,plain,
c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(tc_Nat_Onat),
inference(cnf_transformation,[],[f837]) ).
fof(f837,axiom,
c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(tc_Nat_Onat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f5404,plain,
c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_Nat_Onat)),
inference(definition_unfolding,[],[f3881,f3921,f3945,f3937,f3937]) ).
fof(f3945,plain,
! [X0] : c_Int_OBit1(X0) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X0),X0),
inference(cnf_transformation,[],[f1235]) ).
fof(f1235,plain,
! [X0] : c_Int_OBit1(X0) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X0),X0),
inference(rectify,[],[f701]) ).
fof(f701,axiom,
! [X6] : c_Int_OBit1(X6) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X6),X6),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f3921,plain,
! [X0] : c_Int_OBit0(X0) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,X0,X0),
inference(cnf_transformation,[],[f1211]) ).
fof(f1211,plain,
! [X0] : c_Int_OBit0(X0) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,X0,X0),
inference(rectify,[],[f304]) ).
fof(f304,axiom,
! [X6] : c_Int_OBit0(X6) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,X6,X6),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f3881,plain,
c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))) = c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),
inference(cnf_transformation,[],[f276]) ).
fof(f276,axiom,
c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))) = c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f6964,plain,
! [X0] : c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X0) = c_Groups_Otimes__class_Otimes(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),X0),
inference(forward_demodulation,[],[f6963,f6916]) ).
fof(f6963,plain,
! [X0] : c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X0) = c_Groups_Otimes__class_Otimes(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))),X0),
inference(forward_demodulation,[],[f6962,f6916]) ).
fof(f6962,plain,
! [X0] : c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X0) = c_Groups_Otimes__class_Otimes(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))),X0),
inference(forward_demodulation,[],[f5438,f3854]) ).
fof(f5438,plain,
! [X0] : c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X0) = c_Groups_Otimes__class_Otimes(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))),X0),
inference(definition_unfolding,[],[f3956,f3921,f3945]) ).
fof(f3956,plain,
! [X0] : c_Groups_Otimes__class_Otimes(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),X0) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X0),
inference(cnf_transformation,[],[f1246]) ).
fof(f1246,plain,
! [X0] : c_Groups_Otimes__class_Otimes(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),X0) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X0),
inference(rectify,[],[f69]) ).
fof(f69,axiom,
! [X9] : c_Groups_Otimes__class_Otimes(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),X9) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X9,X9),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f7092,plain,
! [X0] :
( c_Groups_Otimes__class_Otimes(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),sK63(X0)) = X0
| ~ c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,X0) ),
inference(forward_demodulation,[],[f7091,f5396]) ).
fof(f7091,plain,
! [X0] :
( c_Groups_Otimes__class_Otimes(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))),sK63(X0)) = X0
| ~ c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,X0) ),
inference(forward_demodulation,[],[f5476,f5424]) ).
fof(f5424,plain,
! [X0] : c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X0),
inference(definition_unfolding,[],[f3938,f3937]) ).
fof(f3938,plain,
! [X0] : c_Nat_OSuc(X0) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X0),
inference(cnf_transformation,[],[f1228]) ).
fof(f1228,plain,
! [X0] : c_Nat_OSuc(X0) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X0),
inference(rectify,[],[f839]) ).
fof(f839,axiom,
! [X19] : c_Nat_OSuc(X19) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X19),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f5476,plain,
! [X0] :
( c_Groups_Otimes__class_Otimes(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_Nat_Onat)),sK63(X0)) = X0
| ~ c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,X0) ),
inference(definition_unfolding,[],[f4015,f3937,f3937]) ).
fof(f4015,plain,
! [X0] :
( c_Groups_Otimes__class_Otimes(tc_Nat_Onat,c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),sK63(X0)) = X0
| ~ c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,X0) ),
inference(cnf_transformation,[],[f3172]) ).
fof(f3172,plain,
! [X0] :
( ( c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,X0)
| ! [X1] : c_Groups_Otimes__class_Otimes(tc_Nat_Onat,c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),X1) != X0 )
& ( c_Groups_Otimes__class_Otimes(tc_Nat_Onat,c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),sK63(X0)) = X0
| ~ c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK63])],[f3170,f3171]) ).
fof(f3171,plain,
! [X0] :
( ? [X2] : c_Groups_Otimes__class_Otimes(tc_Nat_Onat,c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),X2) = X0
=> c_Groups_Otimes__class_Otimes(tc_Nat_Onat,c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),sK63(X0)) = X0 ),
introduced(choice_axiom,[]) ).
fof(f3170,plain,
! [X0] :
( ( c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,X0)
| ! [X1] : c_Groups_Otimes__class_Otimes(tc_Nat_Onat,c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),X1) != X0 )
& ( ? [X2] : c_Groups_Otimes__class_Otimes(tc_Nat_Onat,c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),X2) = X0
| ~ c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,X0) ) ),
inference(rectify,[],[f3169]) ).
fof(f3169,plain,
! [X0] :
( ( c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,X0)
| ! [X1] : c_Groups_Otimes__class_Otimes(tc_Nat_Onat,c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),X1) != X0 )
& ( ? [X1] : c_Groups_Otimes__class_Otimes(tc_Nat_Onat,c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),X1) = X0
| ~ c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,X0) ) ),
inference(nnf_transformation,[],[f1293]) ).
fof(f1293,plain,
! [X0] :
( c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,X0)
<=> ? [X1] : c_Groups_Otimes__class_Otimes(tc_Nat_Onat,c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),X1) = X0 ),
inference(rectify,[],[f262]) ).
fof(f262,axiom,
! [X14] :
( c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,X14)
<=> ? [X30] : c_Groups_Otimes__class_Otimes(tc_Nat_Onat,c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),X30) = X14 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f8163,plain,
( ! [X0] : v_na____ != c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X0)
| ~ spl80_2 ),
inference(avatar_component_clause,[],[f8162]) ).
fof(f8162,plain,
( spl80_2
<=> ! [X0] : v_na____ != c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl80_2])]) ).
fof(f8164,plain,
( spl80_1
| spl80_2 ),
inference(avatar_split_clause,[],[f6966,f8162,f8158]) ).
fof(f6966,plain,
! [X0] :
( v_na____ != c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X0)
| v_thesis____ ),
inference(backward_demodulation,[],[f6904,f6965]) ).
fof(f6904,plain,
! [X0] :
( v_na____ != c_Groups_Otimes__class_Otimes(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X0)
| v_thesis____ ),
inference(backward_demodulation,[],[f6881,f6902]) ).
fof(f6881,plain,
! [X0] :
( v_na____ != c_Groups_Otimes__class_Otimes(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))),X0)
| v_thesis____ ),
inference(backward_demodulation,[],[f5393,f3854]) ).
fof(f5393,plain,
! [X0] :
( v_thesis____
| v_na____ != c_Groups_Otimes__class_Otimes(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))),X0) ),
inference(definition_unfolding,[],[f3662,f3921,f3945]) ).
fof(f3662,plain,
! [X0] :
( v_thesis____
| v_na____ != c_Groups_Otimes__class_Otimes(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),X0) ),
inference(cnf_transformation,[],[f2122]) ).
fof(f2122,plain,
( v_thesis____
| ! [X0] : v_na____ != c_Groups_Otimes__class_Otimes(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),X0) ),
inference(ennf_transformation,[],[f1171]) ).
fof(f1171,axiom,
( ? [X0] : v_na____ = c_Groups_Otimes__class_Otimes(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),X0)
=> v_thesis____ ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWW196+1 : TPTP v8.2.0. Released v5.2.0.
% 0.11/0.12 % Command : run_vampire %s %d SAT
% 0.13/0.34 % Computer : n013.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 : Wed Jun 19 08:57:09 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.35 This is a FOF_THM_RFO_SEQ problem
% 0.13/0.36 Running first-order model finding
% 0.13/0.36 Running /export/starexec/sandbox/solver/bin/vampire --mode casc_sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.47 % (5869)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.47 % (5874)ott+21_1:1_sil=4000:i=104:fsd=on:fd=off:newcnf=on_0 on theBenchmark for (2999ds/104Mi)
% 0.21/0.47 % (5869)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.47 % (5876)ott-4_1:1_sil=4000:sp=reverse_arity:lcm=predicate:newcnf=on:i=115:bce=on:fd=off:fs=off:fsr=off_0 on theBenchmark for (2999ds/115Mi)
% 0.21/0.47 % (5869)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.47 % (5875)ott+11_8:59_sil=16000:sp=occurrence:lsd=20:abs=on:i=146:aac=none:nm=16:fdi=10:rawr=on:nicw=on_0 on theBenchmark for (2999ds/146Mi)
% 0.21/0.47 % (5869)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.47 % (5870)fmb+10_1:1_sil=256000:i=98885:tgt=full:fmbsr=1.3:fmbss=10_0 on theBenchmark for (2999ds/98885Mi)
% 0.21/0.47 % (5869)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.47 % (5873)fmb+10_1:1_sil=256000:fmbss=23:fmbes=contour:newcnf=on:fmbsr=1.14:i=152523:nm=2:gsp=on:rp=on_0 on theBenchmark for (2999ds/152523Mi)
% 0.21/0.47 % (5869)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.47 % (5872)fmb+10_1:1_sil=256000:fmbes=contour:i=214858:bce=on_0 on theBenchmark for (2999ds/214858Mi)
% 0.21/0.47 % (5869)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.47 % (5871)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency:i=99418_0 on theBenchmark for (2999ds/99418Mi)
% 0.21/0.53 % (5874)Instruction limit reached!
% 0.21/0.53 % (5874)------------------------------
% 0.21/0.53 % (5874)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.53 % (5874)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.53 % (5874)Termination reason: Time limit
% 0.21/0.53 % (5874)Termination phase: Saturation
% 0.21/0.53
% 0.21/0.53 % (5874)Memory used [KB]: 3550
% 0.21/0.53 % (5874)Time elapsed: 0.055 s
% 0.21/0.53 % (5874)Instructions burned: 105 (million)
% 0.21/0.53 % (5876)Instruction limit reached!
% 0.21/0.53 % (5876)------------------------------
% 0.21/0.53 % (5876)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.53 % (5876)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.53 % (5876)Termination reason: Time limit
% 0.21/0.53 % (5876)Termination phase: Saturation
% 0.21/0.53
% 0.21/0.53 % (5876)Memory used [KB]: 3525
% 0.21/0.53 % (5876)Time elapsed: 0.058 s
% 0.21/0.53 % (5876)Instructions burned: 115 (million)
% 0.21/0.55 % (5875)Instruction limit reached!
% 0.21/0.55 % (5875)------------------------------
% 0.21/0.55 % (5875)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.55 % (5875)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.55 % (5875)Termination reason: Time limit
% 0.21/0.55 % (5875)Termination phase: Saturation
% 0.21/0.55
% 0.21/0.55 % (5875)Memory used [KB]: 3840
% 0.21/0.55 % (5875)Time elapsed: 0.077 s
% 0.21/0.55 % (5875)Instructions burned: 147 (million)
% 0.21/0.59 % (5869)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.59 % (5877)dis+11_1:3_bsr=unit_only:sil=2000:rp=on:newcnf=on:i=404:kws=precedence:lsd=100_0 on theBenchmark for (2998ds/404Mi)
% 0.21/0.59 % (5869)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.59 % (5878)ott-21_1:1_sil=4000:sp=const_frequency:i=175:fsr=off:fs=off:av=off_0 on theBenchmark for (2998ds/175Mi)
% 1.45/0.61 % (5869)Running in auto input_syntax mode. Trying TPTP
% 1.45/0.61 % (5879)ott+33_1:1_to=lpo:sil=8000:sp=weighted_frequency:rp=on:i=270:nm=3:fsr=off:sac=on_0 on theBenchmark for (2998ds/270Mi)
% 1.74/0.68 % (5878)Instruction limit reached!
% 1.74/0.68 % (5878)------------------------------
% 1.74/0.68 % (5878)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.74/0.68 % (5878)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.74/0.68 % (5878)Termination reason: Time limit
% 1.74/0.68 % (5878)Termination phase: Saturation
% 1.74/0.68
% 1.74/0.68 % (5878)Memory used [KB]: 4291
% 1.74/0.68 % (5878)Time elapsed: 0.091 s
% 1.74/0.68 % (5878)Instructions burned: 176 (million)
% 2.26/0.74 % (5869)Running in auto input_syntax mode. Trying TPTP
% 2.26/0.74 % (5880)ott+4_1:1_sil=2000:i=900:bd=off:fsr=off_0 on theBenchmark for (2997ds/900Mi)
% 2.26/0.74 % (5879)First to succeed.
% 2.26/0.74 % (5879)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-5869"
% 2.26/0.75 % (5869)Running in auto input_syntax mode. Trying TPTP
% 2.26/0.75 % (5879)Refutation found. Thanks to Tanya!
% 2.26/0.75 % SZS status Theorem for theBenchmark
% 2.26/0.75 % SZS output start Proof for theBenchmark
% See solution above
% 2.26/0.75 % (5879)------------------------------
% 2.26/0.75 % (5879)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.26/0.75 % (5879)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.26/0.75 % (5879)Termination reason: Refutation
% 2.26/0.75
% 2.26/0.75 % (5879)Memory used [KB]: 5172
% 2.26/0.75 % (5879)Time elapsed: 0.136 s
% 2.26/0.75 % (5879)Instructions burned: 262 (million)
% 2.26/0.75 % (5879)------------------------------
% 2.26/0.75 % (5879)------------------------------
% 2.26/0.75 % (5869)Success in time 0.332 s
%------------------------------------------------------------------------------