TSTP Solution File: SWC317+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SWC317+1 : TPTP v8.2.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %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 : Tue May 21 05:12:59 EDT 2024
% Result : Theorem 1.32s 0.54s
% Output : Refutation 1.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 9
% Syntax : Number of formulae : 55 ( 9 unt; 0 def)
% Number of atoms : 288 ( 83 equ)
% Maximal formula atoms : 18 ( 5 avg)
% Number of connectives : 335 ( 102 ~; 87 |; 122 &)
% ( 0 <=>; 24 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 7 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-4 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-2 aty)
% Number of variables : 135 ( 87 !; 48 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3825,plain,
$false,
inference(resolution,[],[f3824,f710]) ).
fof(f710,plain,
neq(sK23,nil),
inference(duplicate_literal_removal,[],[f708]) ).
fof(f708,plain,
( neq(sK23,nil)
| neq(sK23,nil) ),
inference(resolution,[],[f385,f657]) ).
fof(f657,plain,
( sP1(sK22,sK23,sK23,sK22)
| neq(sK23,nil) ),
inference(forward_demodulation,[],[f656,f397]) ).
fof(f397,plain,
sK22 = sK24,
inference(cnf_transformation,[],[f265]) ).
fof(f265,plain,
( ( ( ~ neq(sK25,nil)
& neq(sK23,nil) )
| sP1(sK24,sK25,sK23,sK22) )
& sK22 = sK24
& sK23 = sK25
& ssList(sK25)
& ssList(sK24)
& ssList(sK23)
& ssList(sK22) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK22,sK23,sK24,sK25])],[f226,f264,f263,f262,f261]) ).
fof(f261,plain,
( ? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ( ~ neq(X3,nil)
& neq(X1,nil) )
| sP1(X2,X3,X1,X0) )
& X0 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) )
=> ( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ( ~ neq(X3,nil)
& neq(X1,nil) )
| sP1(X2,X3,X1,sK22) )
& sK22 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(sK22) ) ),
introduced(choice_axiom,[]) ).
fof(f262,plain,
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ( ~ neq(X3,nil)
& neq(X1,nil) )
| sP1(X2,X3,X1,sK22) )
& sK22 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
=> ( ? [X2] :
( ? [X3] :
( ( ( ~ neq(X3,nil)
& neq(sK23,nil) )
| sP1(X2,X3,sK23,sK22) )
& sK22 = X2
& sK23 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(sK23) ) ),
introduced(choice_axiom,[]) ).
fof(f263,plain,
( ? [X2] :
( ? [X3] :
( ( ( ~ neq(X3,nil)
& neq(sK23,nil) )
| sP1(X2,X3,sK23,sK22) )
& sK22 = X2
& sK23 = X3
& ssList(X3) )
& ssList(X2) )
=> ( ? [X3] :
( ( ( ~ neq(X3,nil)
& neq(sK23,nil) )
| sP1(sK24,X3,sK23,sK22) )
& sK22 = sK24
& sK23 = X3
& ssList(X3) )
& ssList(sK24) ) ),
introduced(choice_axiom,[]) ).
fof(f264,plain,
( ? [X3] :
( ( ( ~ neq(X3,nil)
& neq(sK23,nil) )
| sP1(sK24,X3,sK23,sK22) )
& sK22 = sK24
& sK23 = X3
& ssList(X3) )
=> ( ( ( ~ neq(sK25,nil)
& neq(sK23,nil) )
| sP1(sK24,sK25,sK23,sK22) )
& sK22 = sK24
& sK23 = sK25
& ssList(sK25) ) ),
introduced(choice_axiom,[]) ).
fof(f226,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ( ~ neq(X3,nil)
& neq(X1,nil) )
| sP1(X2,X3,X1,X0) )
& X0 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(definition_folding,[],[f100,f225,f224]) ).
fof(f224,plain,
! [X3,X2] :
( ? [X4] :
( ? [X5] :
( app(X5,cons(X4,nil)) = X3
& app(cons(X4,nil),X5) = X2
& ssList(X5) )
& ssItem(X4) )
| ~ sP0(X3,X2) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f225,plain,
! [X2,X3,X1,X0] :
( ( sP0(X3,X2)
& ! [X6] :
( ! [X7] :
( app(X7,cons(X6,nil)) != X1
| app(cons(X6,nil),X7) != X0
| ~ ssList(X7) )
| ~ ssItem(X6) )
& neq(X1,nil) )
| ~ sP1(X2,X3,X1,X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f100,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ( ~ neq(X3,nil)
& neq(X1,nil) )
| ( ? [X4] :
( ? [X5] :
( app(X5,cons(X4,nil)) = X3
& app(cons(X4,nil),X5) = X2
& ssList(X5) )
& ssItem(X4) )
& ! [X6] :
( ! [X7] :
( app(X7,cons(X6,nil)) != X1
| app(cons(X6,nil),X7) != X0
| ~ ssList(X7) )
| ~ ssItem(X6) )
& neq(X1,nil) ) )
& X0 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(flattening,[],[f99]) ).
fof(f99,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ( ~ neq(X3,nil)
& neq(X1,nil) )
| ( ? [X4] :
( ? [X5] :
( app(X5,cons(X4,nil)) = X3
& app(cons(X4,nil),X5) = X2
& ssList(X5) )
& ssItem(X4) )
& ! [X6] :
( ! [X7] :
( app(X7,cons(X6,nil)) != X1
| app(cons(X6,nil),X7) != X0
| ~ ssList(X7) )
| ~ ssItem(X6) )
& neq(X1,nil) ) )
& X0 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(ennf_transformation,[],[f98]) ).
fof(f98,plain,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ( ( neq(X3,nil)
| ~ neq(X1,nil) )
& ( ! [X4] :
( ssItem(X4)
=> ! [X5] :
( ssList(X5)
=> ( app(X5,cons(X4,nil)) != X3
| app(cons(X4,nil),X5) != X2 ) ) )
| ? [X6] :
( ? [X7] :
( app(X7,cons(X6,nil)) = X1
& app(cons(X6,nil),X7) = X0
& ssList(X7) )
& ssItem(X6) )
| ~ neq(X1,nil) ) )
| X0 != X2
| X1 != X3 ) ) ) ) ),
inference(rectify,[],[f97]) ).
fof(f97,negated_conjecture,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ( ( neq(X3,nil)
| ~ neq(X1,nil) )
& ( ! [X6] :
( ssItem(X6)
=> ! [X7] :
( ssList(X7)
=> ( app(X7,cons(X6,nil)) != X3
| app(cons(X6,nil),X7) != X2 ) ) )
| ? [X4] :
( ? [X5] :
( app(X5,cons(X4,nil)) = X1
& app(cons(X4,nil),X5) = X0
& ssList(X5) )
& ssItem(X4) )
| ~ neq(X1,nil) ) )
| X0 != X2
| X1 != X3 ) ) ) ) ),
inference(negated_conjecture,[],[f96]) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ( ( neq(X3,nil)
| ~ neq(X1,nil) )
& ( ! [X6] :
( ssItem(X6)
=> ! [X7] :
( ssList(X7)
=> ( app(X7,cons(X6,nil)) != X3
| app(cons(X6,nil),X7) != X2 ) ) )
| ? [X4] :
( ? [X5] :
( app(X5,cons(X4,nil)) = X1
& app(cons(X4,nil),X5) = X0
& ssList(X5) )
& ssItem(X4) )
| ~ neq(X1,nil) ) )
| X0 != X2
| X1 != X3 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
fof(f656,plain,
( sP1(sK24,sK23,sK23,sK22)
| neq(sK23,nil) ),
inference(forward_demodulation,[],[f398,f396]) ).
fof(f396,plain,
sK23 = sK25,
inference(cnf_transformation,[],[f265]) ).
fof(f398,plain,
( neq(sK23,nil)
| sP1(sK24,sK25,sK23,sK22) ),
inference(cnf_transformation,[],[f265]) ).
fof(f385,plain,
! [X2,X3,X0,X1] :
( ~ sP1(X0,X1,X2,X3)
| neq(X2,nil) ),
inference(cnf_transformation,[],[f255]) ).
fof(f255,plain,
! [X0,X1,X2,X3] :
( ( sP0(X1,X0)
& ! [X4] :
( ! [X5] :
( app(X5,cons(X4,nil)) != X2
| app(cons(X4,nil),X5) != X3
| ~ ssList(X5) )
| ~ ssItem(X4) )
& neq(X2,nil) )
| ~ sP1(X0,X1,X2,X3) ),
inference(rectify,[],[f254]) ).
fof(f254,plain,
! [X2,X3,X1,X0] :
( ( sP0(X3,X2)
& ! [X6] :
( ! [X7] :
( app(X7,cons(X6,nil)) != X1
| app(cons(X6,nil),X7) != X0
| ~ ssList(X7) )
| ~ ssItem(X6) )
& neq(X1,nil) )
| ~ sP1(X2,X3,X1,X0) ),
inference(nnf_transformation,[],[f225]) ).
fof(f3824,plain,
~ neq(sK23,nil),
inference(resolution,[],[f3823,f711]) ).
fof(f711,plain,
( sP0(sK23,sK22)
| ~ neq(sK23,nil) ),
inference(resolution,[],[f387,f655]) ).
fof(f655,plain,
( sP1(sK22,sK23,sK23,sK22)
| ~ neq(sK23,nil) ),
inference(forward_demodulation,[],[f654,f397]) ).
fof(f654,plain,
( sP1(sK24,sK23,sK23,sK22)
| ~ neq(sK23,nil) ),
inference(forward_demodulation,[],[f653,f396]) ).
fof(f653,plain,
( ~ neq(sK23,nil)
| sP1(sK24,sK25,sK23,sK22) ),
inference(forward_demodulation,[],[f399,f396]) ).
fof(f399,plain,
( ~ neq(sK25,nil)
| sP1(sK24,sK25,sK23,sK22) ),
inference(cnf_transformation,[],[f265]) ).
fof(f387,plain,
! [X2,X3,X0,X1] :
( ~ sP1(X0,X1,X2,X3)
| sP0(X1,X0) ),
inference(cnf_transformation,[],[f255]) ).
fof(f3823,plain,
~ sP0(sK23,sK22),
inference(resolution,[],[f3820,f389]) ).
fof(f389,plain,
! [X0,X1] :
( ssList(sK21(X0,X1))
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f260]) ).
fof(f260,plain,
! [X0,X1] :
( ( app(sK21(X0,X1),cons(sK20(X0,X1),nil)) = X0
& app(cons(sK20(X0,X1),nil),sK21(X0,X1)) = X1
& ssList(sK21(X0,X1))
& ssItem(sK20(X0,X1)) )
| ~ sP0(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK20,sK21])],[f257,f259,f258]) ).
fof(f258,plain,
! [X0,X1] :
( ? [X2] :
( ? [X3] :
( app(X3,cons(X2,nil)) = X0
& app(cons(X2,nil),X3) = X1
& ssList(X3) )
& ssItem(X2) )
=> ( ? [X3] :
( app(X3,cons(sK20(X0,X1),nil)) = X0
& app(cons(sK20(X0,X1),nil),X3) = X1
& ssList(X3) )
& ssItem(sK20(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f259,plain,
! [X0,X1] :
( ? [X3] :
( app(X3,cons(sK20(X0,X1),nil)) = X0
& app(cons(sK20(X0,X1),nil),X3) = X1
& ssList(X3) )
=> ( app(sK21(X0,X1),cons(sK20(X0,X1),nil)) = X0
& app(cons(sK20(X0,X1),nil),sK21(X0,X1)) = X1
& ssList(sK21(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f257,plain,
! [X0,X1] :
( ? [X2] :
( ? [X3] :
( app(X3,cons(X2,nil)) = X0
& app(cons(X2,nil),X3) = X1
& ssList(X3) )
& ssItem(X2) )
| ~ sP0(X0,X1) ),
inference(rectify,[],[f256]) ).
fof(f256,plain,
! [X3,X2] :
( ? [X4] :
( ? [X5] :
( app(X5,cons(X4,nil)) = X3
& app(cons(X4,nil),X5) = X2
& ssList(X5) )
& ssItem(X4) )
| ~ sP0(X3,X2) ),
inference(nnf_transformation,[],[f224]) ).
fof(f3820,plain,
~ ssList(sK21(sK23,sK22)),
inference(resolution,[],[f3819,f710]) ).
fof(f3819,plain,
( ~ neq(sK23,nil)
| ~ ssList(sK21(sK23,sK22)) ),
inference(resolution,[],[f3818,f711]) ).
fof(f3818,plain,
( ~ sP0(sK23,sK22)
| ~ ssList(sK21(sK23,sK22)) ),
inference(resolution,[],[f3815,f388]) ).
fof(f388,plain,
! [X0,X1] :
( ssItem(sK20(X0,X1))
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f260]) ).
fof(f3815,plain,
( ~ ssItem(sK20(sK23,sK22))
| ~ ssList(sK21(sK23,sK22)) ),
inference(resolution,[],[f3814,f710]) ).
fof(f3814,plain,
( ~ neq(sK23,nil)
| ~ ssList(sK21(sK23,sK22))
| ~ ssItem(sK20(sK23,sK22)) ),
inference(resolution,[],[f3362,f655]) ).
fof(f3362,plain,
! [X0,X1] :
( ~ sP1(X0,X1,sK23,sK22)
| ~ ssItem(sK20(sK23,sK22))
| ~ ssList(sK21(sK23,sK22)) ),
inference(forward_demodulation,[],[f3354,f1504]) ).
fof(f1504,plain,
sK22 = app(cons(sK20(sK23,sK22),nil),sK21(sK23,sK22)),
inference(resolution,[],[f1500,f710]) ).
fof(f1500,plain,
( ~ neq(sK23,nil)
| sK22 = app(cons(sK20(sK23,sK22),nil),sK21(sK23,sK22)) ),
inference(resolution,[],[f390,f711]) ).
fof(f390,plain,
! [X0,X1] :
( ~ sP0(X0,X1)
| app(cons(sK20(X0,X1),nil),sK21(X0,X1)) = X1 ),
inference(cnf_transformation,[],[f260]) ).
fof(f3354,plain,
! [X0,X1] :
( ~ sP1(X0,X1,sK23,app(cons(sK20(sK23,sK22),nil),sK21(sK23,sK22)))
| ~ ssItem(sK20(sK23,sK22))
| ~ ssList(sK21(sK23,sK22)) ),
inference(superposition,[],[f618,f1522]) ).
fof(f1522,plain,
sK23 = app(sK21(sK23,sK22),cons(sK20(sK23,sK22),nil)),
inference(resolution,[],[f1519,f710]) ).
fof(f1519,plain,
( ~ neq(sK23,nil)
| sK23 = app(sK21(sK23,sK22),cons(sK20(sK23,sK22),nil)) ),
inference(resolution,[],[f391,f711]) ).
fof(f391,plain,
! [X0,X1] :
( ~ sP0(X0,X1)
| app(sK21(X0,X1),cons(sK20(X0,X1),nil)) = X0 ),
inference(cnf_transformation,[],[f260]) ).
fof(f618,plain,
! [X0,X1,X4,X5] :
( ~ sP1(X0,X1,app(X5,cons(X4,nil)),app(cons(X4,nil),X5))
| ~ ssItem(X4)
| ~ ssList(X5) ),
inference(equality_resolution,[],[f617]) ).
fof(f617,plain,
! [X3,X0,X1,X4,X5] :
( app(cons(X4,nil),X5) != X3
| ~ ssList(X5)
| ~ ssItem(X4)
| ~ sP1(X0,X1,app(X5,cons(X4,nil)),X3) ),
inference(equality_resolution,[],[f386]) ).
fof(f386,plain,
! [X2,X3,X0,X1,X4,X5] :
( app(X5,cons(X4,nil)) != X2
| app(cons(X4,nil),X5) != X3
| ~ ssList(X5)
| ~ ssItem(X4)
| ~ sP1(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f255]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWC317+1 : TPTP v8.2.0. Released v2.4.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n010.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sun May 19 02:47:23 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % (27027)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.38 % (27030)WARNING: value z3 for option sas not known
% 0.14/0.38 % (27028)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.38 % (27029)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.38 % (27031)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.38 % (27030)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.38 % (27032)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_531 on theBenchmark for (531ds/0Mi)
% 0.14/0.38 % (27033)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.14/0.38 % (27034)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.22/0.40 TRYING [1]
% 0.22/0.40 TRYING [1]
% 0.22/0.40 TRYING [2]
% 0.22/0.40 TRYING [2]
% 0.22/0.41 TRYING [3]
% 0.22/0.41 TRYING [3]
% 0.22/0.45 TRYING [1]
% 0.22/0.45 TRYING [2]
% 0.22/0.46 TRYING [4]
% 0.22/0.46 TRYING [3]
% 0.22/0.47 TRYING [4]
% 1.18/0.51 TRYING [4]
% 1.32/0.54 % (27033)First to succeed.
% 1.32/0.54 % (27033)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-27027"
% 1.32/0.54 % (27033)Refutation found. Thanks to Tanya!
% 1.32/0.54 % SZS status Theorem for theBenchmark
% 1.32/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 1.32/0.54 % (27033)------------------------------
% 1.32/0.54 % (27033)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.32/0.54 % (27033)Termination reason: Refutation
% 1.32/0.54
% 1.32/0.54 % (27033)Memory used [KB]: 4554
% 1.32/0.54 % (27033)Time elapsed: 0.160 s
% 1.32/0.54 % (27033)Instructions burned: 333 (million)
% 1.32/0.54 % (27027)Success in time 0.169 s
%------------------------------------------------------------------------------