TSTP Solution File: SWW101+1 by Vampire-SAT---4.9
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.9
% Problem : SWW101+1 : TPTP v8.2.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d SAT
% Computer : n007.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 18:47:54 EDT 2024
% Result : Theorem 0.22s 0.46s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 21
% Syntax : Number of formulae : 114 ( 54 unt; 0 def)
% Number of atoms : 220 ( 114 equ)
% Maximal formula atoms : 9 ( 1 avg)
% Number of connectives : 181 ( 75 ~; 68 |; 28 &)
% ( 8 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 5 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 7 con; 0-2 aty)
% Number of variables : 66 ( 60 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f906,plain,
$false,
inference(avatar_sat_refutation,[],[f819,f868,f877,f885,f905]) ).
fof(f905,plain,
~ spl7_6,
inference(avatar_contradiction_clause,[],[f904]) ).
fof(f904,plain,
( $false
| ~ spl7_6 ),
inference(subsumption_resolution,[],[f903,f128]) ).
fof(f128,plain,
false1 != false2,
inference(cnf_transformation,[],[f47]) ).
fof(f47,plain,
false1 != false2,
inference(flattening,[],[f46]) ).
fof(f46,negated_conjecture,
false1 != false2,
inference(negated_conjecture,[],[f45]) ).
fof(f45,conjecture,
false1 = false2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f903,plain,
( false1 = false2
| ~ spl7_6 ),
inference(forward_demodulation,[],[f902,f416]) ).
fof(f416,plain,
false1 = sF8(false1),
inference(resolution,[],[f275,f204]) ).
fof(f204,plain,
d(false1),
inference(definition_unfolding,[],[f133,f129]) ).
fof(f129,plain,
false = false1,
inference(cnf_transformation,[],[f38]) ).
fof(f38,axiom,
false = false1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f133,plain,
d(false),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
( d(err)
& d(false)
& d(true) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f275,plain,
! [X0] :
( ~ d(X0)
| sF8(X0) = X0 ),
inference(backward_demodulation,[],[f245,f247]) ).
fof(f247,plain,
! [X0] : lazy_impl(true,X0) = sF8(X0),
introduced(function_definition,[new_symbols(definition,[sF8])]) ).
fof(f245,plain,
! [X0] :
( lazy_impl(true,X0) = X0
| ~ d(X0) ),
inference(forward_demodulation,[],[f212,f209]) ).
fof(f209,plain,
! [X0] : lazy_and1(true,X0) = lazy_impl(true,X0),
inference(definition_unfolding,[],[f142,f141]) ).
fof(f141,plain,
! [X0] : phi(X0) = lazy_and1(true,X0),
inference(cnf_transformation,[],[f51]) ).
fof(f51,plain,
! [X0] : phi(X0) = lazy_and1(true,X0),
inference(rectify,[],[f24]) ).
fof(f24,axiom,
! [X3] : phi(X3) = lazy_and1(true,X3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f142,plain,
! [X0] : phi(X0) = lazy_impl(true,X0),
inference(cnf_transformation,[],[f52]) ).
fof(f52,plain,
! [X0] : phi(X0) = lazy_impl(true,X0),
inference(rectify,[],[f15]) ).
fof(f15,axiom,
! [X3] : phi(X3) = lazy_impl(true,X3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f212,plain,
! [X0] :
( ~ d(X0)
| lazy_and1(true,X0) = X0 ),
inference(definition_unfolding,[],[f145,f141]) ).
fof(f145,plain,
! [X0] :
( ~ d(X0)
| phi(X0) = X0 ),
inference(cnf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0] :
( ( err = phi(X0)
& ~ d(X0) )
| ( phi(X0) = X0
& d(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f902,plain,
( false2 = sF8(false1)
| ~ spl7_6 ),
inference(forward_demodulation,[],[f852,f889]) ).
fof(f889,plain,
( false1 = sF70
| ~ spl7_6 ),
inference(forward_demodulation,[],[f887,f500]) ).
fof(f500,plain,
false1 = sF23(false1),
inference(forward_demodulation,[],[f499,f416]) ).
fof(f499,plain,
sF8(false1) = sF23(false1),
inference(forward_demodulation,[],[f495,f247]) ).
fof(f495,plain,
sF23(false1) = lazy_impl(true,false1),
inference(superposition,[],[f272,f405]) ).
fof(f405,plain,
true = prop(false1),
inference(resolution,[],[f161,f239]) ).
fof(f239,plain,
bool(false1),
inference(equality_resolution,[],[f217]) ).
fof(f217,plain,
! [X0] :
( bool(X0)
| false1 != X0 ),
inference(definition_unfolding,[],[f156,f129]) ).
fof(f156,plain,
! [X0] :
( bool(X0)
| false != X0 ),
inference(cnf_transformation,[],[f111]) ).
fof(f111,plain,
! [X0] :
( ( bool(X0)
| ( true != X0
& false != X0 ) )
& ( true = X0
| false = X0
| ~ bool(X0) ) ),
inference(flattening,[],[f110]) ).
fof(f110,plain,
! [X0] :
( ( bool(X0)
| ( true != X0
& false != X0 ) )
& ( true = X0
| false = X0
| ~ bool(X0) ) ),
inference(nnf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0] :
( bool(X0)
<=> ( true = X0
| false = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f161,plain,
! [X0] :
( ~ bool(X0)
| true = prop(X0) ),
inference(cnf_transformation,[],[f113]) ).
fof(f113,plain,
! [X0] :
( ( true = prop(X0)
| ~ bool(X0) )
& ( bool(X0)
| true != prop(X0) ) ),
inference(nnf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0] :
( true = prop(X0)
<=> bool(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f272,plain,
! [X0] : lazy_impl(prop(X0),X0) = sF23(X0),
introduced(function_definition,[new_symbols(definition,[sF23])]) ).
fof(f887,plain,
( sF23(false1) = sF70
| ~ spl7_6 ),
inference(backward_demodulation,[],[f532,f818]) ).
fof(f818,plain,
( false1 = sK6
| ~ spl7_6 ),
inference(avatar_component_clause,[],[f817]) ).
fof(f817,plain,
( spl7_6
<=> false1 = sK6 ),
introduced(avatar_definition,[new_symbols(naming,[spl7_6])]) ).
fof(f532,plain,
sF23(sK6) = sF70,
introduced(function_definition,[new_symbols(definition,[sF70])]) ).
fof(f852,plain,
false2 = sF8(sF70),
inference(forward_demodulation,[],[f419,f532]) ).
fof(f419,plain,
false2 = sF8(sF23(sK6)),
inference(superposition,[],[f336,f273]) ).
fof(f273,plain,
! [X0] : lazy_and1(true,X0) = sF8(X0),
inference(backward_demodulation,[],[f209,f247]) ).
fof(f336,plain,
false2 = lazy_and1(true,sF23(sK6)),
inference(backward_demodulation,[],[f237,f272]) ).
fof(f237,plain,
false2 = lazy_and1(true,lazy_impl(prop(sK6),sK6)),
inference(definition_unfolding,[],[f193,f141,f143]) ).
fof(f143,plain,
! [X0] : f7(X0) = lazy_impl(prop(X0),X0),
inference(cnf_transformation,[],[f53]) ).
fof(f53,plain,
! [X0] : f7(X0) = lazy_impl(prop(X0),X0),
inference(rectify,[],[f39]) ).
fof(f39,axiom,
! [X4] : f7(X4) = lazy_impl(prop(X4),X4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f193,plain,
false2 = phi(f7(sK6)),
inference(cnf_transformation,[],[f127]) ).
fof(f127,plain,
( ! [X1] : ~ forallprefers(f7(X1),f7(sK6))
& false2 = phi(f7(sK6)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6])],[f109,f126]) ).
fof(f126,plain,
( ? [X0] :
( ! [X1] : ~ forallprefers(f7(X1),f7(X0))
& false2 = phi(f7(X0)) )
=> ( ! [X1] : ~ forallprefers(f7(X1),f7(sK6))
& false2 = phi(f7(sK6)) ) ),
introduced(choice_axiom,[]) ).
fof(f109,plain,
? [X0] :
( ! [X1] : ~ forallprefers(f7(X1),f7(X0))
& false2 = phi(f7(X0)) ),
inference(ennf_transformation,[],[f80]) ).
fof(f80,plain,
? [X0] :
( ~ ? [X1] : forallprefers(f7(X1),f7(X0))
& false2 = phi(f7(X0)) ),
inference(rectify,[],[f40]) ).
fof(f40,axiom,
? [X4] :
( ~ ? [X9] : forallprefers(f7(X9),f7(X4))
& false2 = phi(f7(X4)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f885,plain,
( spl7_7
| ~ spl7_5 ),
inference(avatar_split_clause,[],[f884,f814,f865]) ).
fof(f865,plain,
( spl7_7
<=> true = sF70 ),
introduced(avatar_definition,[new_symbols(naming,[spl7_7])]) ).
fof(f814,plain,
( spl7_5
<=> true = sK6 ),
introduced(avatar_definition,[new_symbols(naming,[spl7_5])]) ).
fof(f884,plain,
( true = sF70
| ~ spl7_5 ),
inference(forward_demodulation,[],[f883,f498]) ).
fof(f498,plain,
true = sF23(true),
inference(forward_demodulation,[],[f497,f414]) ).
fof(f414,plain,
true = sF8(true),
inference(resolution,[],[f275,f132]) ).
fof(f132,plain,
d(true),
inference(cnf_transformation,[],[f3]) ).
fof(f497,plain,
sF8(true) = sF23(true),
inference(forward_demodulation,[],[f494,f247]) ).
fof(f494,plain,
sF23(true) = lazy_impl(true,true),
inference(superposition,[],[f272,f404]) ).
fof(f404,plain,
true = prop(true),
inference(resolution,[],[f161,f238]) ).
fof(f238,plain,
bool(true),
inference(equality_resolution,[],[f157]) ).
fof(f157,plain,
! [X0] :
( bool(X0)
| true != X0 ),
inference(cnf_transformation,[],[f111]) ).
fof(f883,plain,
( sF23(true) = sF70
| ~ spl7_5 ),
inference(backward_demodulation,[],[f532,f815]) ).
fof(f815,plain,
( true = sK6
| ~ spl7_5 ),
inference(avatar_component_clause,[],[f814]) ).
fof(f877,plain,
~ spl7_7,
inference(avatar_contradiction_clause,[],[f876]) ).
fof(f876,plain,
( $false
| ~ spl7_7 ),
inference(subsumption_resolution,[],[f872,f243]) ).
fof(f243,plain,
forallprefers(false1,true),
inference(equality_resolution,[],[f242]) ).
fof(f242,plain,
! [X0] :
( forallprefers(X0,true)
| false1 != X0 ),
inference(equality_resolution,[],[f231]) ).
fof(f231,plain,
! [X0,X1] :
( forallprefers(X0,X1)
| true != X1
| false1 != X0 ),
inference(definition_unfolding,[],[f180,f129]) ).
fof(f180,plain,
! [X0,X1] :
( forallprefers(X0,X1)
| true != X1
| false != X0 ),
inference(cnf_transformation,[],[f104]) ).
fof(f104,plain,
! [X0,X1] :
( forallprefers(X0,X1)
| ( ( true != X1
| false != X0 )
& ( ~ bool(X1)
| bool(X0)
| ~ d(X1)
| ~ d(X0) )
& ( ~ d(X1)
| d(X0) ) ) ),
inference(ennf_transformation,[],[f82]) ).
fof(f82,plain,
! [X0,X1] :
( ( ( true = X1
& false = X0 )
| ( bool(X1)
& ~ bool(X0)
& d(X1)
& d(X0) )
| ( d(X1)
& ~ d(X0) ) )
=> forallprefers(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f4]) ).
fof(f4,axiom,
! [X0,X1] :
( forallprefers(X0,X1)
<=> ( ( true = X1
& false = X0 )
| ( bool(X1)
& ~ bool(X0)
& d(X1)
& d(X0) )
| ( d(X1)
& ~ d(X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f872,plain,
( ~ forallprefers(false1,true)
| ~ spl7_7 ),
inference(backward_demodulation,[],[f854,f866]) ).
fof(f866,plain,
( true = sF70
| ~ spl7_7 ),
inference(avatar_component_clause,[],[f865]) ).
fof(f854,plain,
~ forallprefers(false1,sF70),
inference(forward_demodulation,[],[f505,f532]) ).
fof(f505,plain,
~ forallprefers(false1,sF23(sK6)),
inference(superposition,[],[f337,f500]) ).
fof(f337,plain,
! [X1] : ~ forallprefers(sF23(X1),sF23(sK6)),
inference(forward_demodulation,[],[f335,f272]) ).
fof(f335,plain,
! [X1] : ~ forallprefers(sF23(X1),lazy_impl(prop(sK6),sK6)),
inference(backward_demodulation,[],[f236,f272]) ).
fof(f236,plain,
! [X1] : ~ forallprefers(lazy_impl(prop(X1),X1),lazy_impl(prop(sK6),sK6)),
inference(definition_unfolding,[],[f194,f143,f143]) ).
fof(f194,plain,
! [X1] : ~ forallprefers(f7(X1),f7(sK6)),
inference(cnf_transformation,[],[f127]) ).
fof(f868,plain,
( spl7_3
| spl7_7 ),
inference(avatar_split_clause,[],[f863,f865,f781]) ).
fof(f781,plain,
( spl7_3
<=> true = prop(sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_3])]) ).
fof(f863,plain,
( true = sF70
| true = prop(sK6) ),
inference(superposition,[],[f662,f532]) ).
fof(f662,plain,
! [X0] :
( true = sF23(X0)
| true = prop(X0) ),
inference(forward_demodulation,[],[f651,f208]) ).
fof(f208,plain,
! [X0] : true = lazy_impl(false1,X0),
inference(definition_unfolding,[],[f139,f129]) ).
fof(f139,plain,
! [X0] : true = lazy_impl(false,X0),
inference(cnf_transformation,[],[f49]) ).
fof(f49,plain,
! [X0] : true = lazy_impl(false,X0),
inference(rectify,[],[f14]) ).
fof(f14,axiom,
! [X3] : true = lazy_impl(false,X3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f651,plain,
! [X0] :
( lazy_impl(false1,X0) = sF23(X0)
| true = prop(X0) ),
inference(superposition,[],[f272,f410]) ).
fof(f410,plain,
! [X0] :
( prop(X0) = false1
| true = prop(X0) ),
inference(resolution,[],[f219,f161]) ).
fof(f219,plain,
! [X0] :
( bool(X0)
| prop(X0) = false1 ),
inference(definition_unfolding,[],[f159,f129]) ).
fof(f159,plain,
! [X0] :
( false = prop(X0)
| bool(X0) ),
inference(cnf_transformation,[],[f112]) ).
fof(f112,plain,
! [X0] :
( ( false = prop(X0)
| bool(X0) )
& ( ~ bool(X0)
| false != prop(X0) ) ),
inference(nnf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0] :
( false = prop(X0)
<=> ~ bool(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f819,plain,
( spl7_5
| spl7_6
| ~ spl7_3 ),
inference(avatar_split_clause,[],[f806,f781,f817,f814]) ).
fof(f806,plain,
( false1 = sK6
| true = sK6
| ~ spl7_3 ),
inference(resolution,[],[f800,f218]) ).
fof(f218,plain,
! [X0] :
( ~ bool(X0)
| false1 = X0
| true = X0 ),
inference(definition_unfolding,[],[f155,f129]) ).
fof(f155,plain,
! [X0] :
( true = X0
| false = X0
| ~ bool(X0) ),
inference(cnf_transformation,[],[f111]) ).
fof(f800,plain,
( bool(sK6)
| ~ spl7_3 ),
inference(trivial_inequality_removal,[],[f799]) ).
fof(f799,plain,
( true != true
| bool(sK6)
| ~ spl7_3 ),
inference(superposition,[],[f160,f782]) ).
fof(f782,plain,
( true = prop(sK6)
| ~ spl7_3 ),
inference(avatar_component_clause,[],[f781]) ).
fof(f160,plain,
! [X0] :
( true != prop(X0)
| bool(X0) ),
inference(cnf_transformation,[],[f113]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWW101+1 : TPTP v8.2.0. Released v5.2.0.
% 0.07/0.12 % Command : run_vampire %s %d SAT
% 0.12/0.34 % Computer : n007.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Wed Jun 19 06:19:09 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.12/0.36 This is a FOF_THM_RFO_SEQ problem
% 0.12/0.36 Running first-order model finding
% 0.12/0.36 Running /export/starexec/sandbox2/solver/bin/vampire --mode casc_sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.22/0.43 % (15353)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.43 % (15358)ott+21_1:1_sil=4000:i=104:fsd=on:fd=off:newcnf=on_0 on theBenchmark for (3000ds/104Mi)
% 0.22/0.43 % (15353)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.43 % (15360)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 (3000ds/115Mi)
% 0.22/0.43 % (15353)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.43 % (15354)fmb+10_1:1_sil=256000:i=98885:tgt=full:fmbsr=1.3:fmbss=10_0 on theBenchmark for (3000ds/98885Mi)
% 0.22/0.43 % (15353)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.43 % (15355)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 (3000ds/99418Mi)
% 0.22/0.43 % (15353)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.43 % (15357)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 (3000ds/152523Mi)
% 0.22/0.43 % (15353)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.43 % (15359)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 (3000ds/146Mi)
% 0.22/0.43 % (15353)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.43 % (15356)fmb+10_1:1_sil=256000:fmbes=contour:i=214858:bce=on_0 on theBenchmark for (3000ds/214858Mi)
% 0.22/0.43 Detected minimum model sizes of [3]
% 0.22/0.43 Detected maximum model sizes of [max]
% 0.22/0.43 Detected minimum model sizes of [3]
% 0.22/0.43 Detected maximum model sizes of [max]
% 0.22/0.43 Detected minimum model sizes of [3]
% 0.22/0.43 Detected maximum model sizes of [max]
% 0.22/0.44 TRYING [3]
% 0.22/0.45 TRYING [4]
% 0.22/0.46 % (15359)First to succeed.
% 0.22/0.46 % (15359)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-15353"
% 0.22/0.46 % (15353)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.46 % (15359)Refutation found. Thanks to Tanya!
% 0.22/0.46 % SZS status Theorem for theBenchmark
% 0.22/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.46 % (15359)------------------------------
% 0.22/0.46 % (15359)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.22/0.46 % (15359)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.22/0.46 % (15359)Termination reason: Refutation
% 0.22/0.46
% 0.22/0.46 % (15359)Memory used [KB]: 1251
% 0.22/0.46 % (15359)Time elapsed: 0.034 s
% 0.22/0.46 % (15359)Instructions burned: 46 (million)
% 0.22/0.46 % (15359)------------------------------
% 0.22/0.46 % (15359)------------------------------
% 0.22/0.46 % (15353)Success in time 0.095 s
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