TSTP Solution File: SWC294+1 by Vampire-SAT---4.9
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.9
% Problem : SWC294+1 : TPTP v8.2.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d SAT
% Computer : n027.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 16:42:08 EDT 2024
% Result : Theorem 0.17s 0.42s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 12
% Syntax : Number of formulae : 64 ( 15 unt; 0 def)
% Number of atoms : 162 ( 28 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 164 ( 66 ~; 64 |; 12 &)
% ( 11 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 13 ( 11 usr; 6 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 30 ( 24 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f827,plain,
$false,
inference(avatar_sat_refutation,[],[f462,f633,f641,f734,f812,f826]) ).
fof(f826,plain,
( ~ spl51_2
| spl51_9 ),
inference(avatar_contradiction_clause,[],[f825]) ).
fof(f825,plain,
( $false
| ~ spl51_2
| spl51_9 ),
inference(subsumption_resolution,[],[f824,f461]) ).
fof(f461,plain,
( singletonP(sK2)
| ~ spl51_2 ),
inference(avatar_component_clause,[],[f459]) ).
fof(f459,plain,
( spl51_2
<=> singletonP(sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_2])]) ).
fof(f824,plain,
( ~ singletonP(sK2)
| spl51_9 ),
inference(subsumption_resolution,[],[f823,f419]) ).
fof(f419,plain,
ssList(sK2),
inference(definition_unfolding,[],[f230,f225]) ).
fof(f225,plain,
sK0 = sK2,
inference(cnf_transformation,[],[f98]) ).
fof(f98,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ~ neq(X3,nil)
| singletonP(X2) )
& ~ strictorderedP(X0)
& segmentP(X3,X2)
& X0 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(ennf_transformation,[],[f97]) ).
fof(f97,negated_conjecture,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ( neq(X3,nil)
& ~ singletonP(X2) )
| strictorderedP(X0)
| ~ segmentP(X3,X2)
| X0 != X2
| X1 != X3
| ~ ssList(X3) ) ) ) ),
inference(negated_conjecture,[],[f96]) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ( neq(X3,nil)
& ~ singletonP(X2) )
| strictorderedP(X0)
| ~ segmentP(X3,X2)
| X0 != X2
| X1 != X3
| ~ ssList(X3) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f230,plain,
ssList(sK0),
inference(cnf_transformation,[],[f98]) ).
fof(f823,plain,
( ~ ssList(sK2)
| ~ singletonP(sK2)
| spl51_9 ),
inference(resolution,[],[f780,f305]) ).
fof(f305,plain,
! [X0] :
( ssItem(sK8(X0))
| ~ ssList(X0)
| ~ singletonP(X0) ),
inference(cnf_transformation,[],[f159]) ).
fof(f159,plain,
! [X0] :
( ( singletonP(X0)
<=> ? [X1] :
( cons(X1,nil) = X0
& ssItem(X1) ) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0] :
( ssList(X0)
=> ( singletonP(X0)
<=> ? [X1] :
( cons(X1,nil) = X0
& ssItem(X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f780,plain,
( ~ ssItem(sK8(sK2))
| spl51_9 ),
inference(avatar_component_clause,[],[f778]) ).
fof(f778,plain,
( spl51_9
<=> ssItem(sK8(sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_9])]) ).
fof(f812,plain,
( ~ spl51_9
| ~ spl51_2 ),
inference(avatar_split_clause,[],[f811,f459,f778]) ).
fof(f811,plain,
( ~ ssItem(sK8(sK2))
| ~ spl51_2 ),
inference(subsumption_resolution,[],[f771,f421]) ).
fof(f421,plain,
~ strictorderedP(sK2),
inference(definition_unfolding,[],[f227,f225]) ).
fof(f227,plain,
~ strictorderedP(sK0),
inference(cnf_transformation,[],[f98]) ).
fof(f771,plain,
( strictorderedP(sK2)
| ~ ssItem(sK8(sK2))
| ~ spl51_2 ),
inference(superposition,[],[f250,f736]) ).
fof(f736,plain,
( sK2 = cons(sK8(sK2),nil)
| ~ spl51_2 ),
inference(subsumption_resolution,[],[f735,f419]) ).
fof(f735,plain,
( sK2 = cons(sK8(sK2),nil)
| ~ ssList(sK2)
| ~ spl51_2 ),
inference(resolution,[],[f461,f306]) ).
fof(f306,plain,
! [X0] :
( ~ singletonP(X0)
| cons(sK8(X0),nil) = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f159]) ).
fof(f250,plain,
! [X0] :
( strictorderedP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f109]) ).
fof(f109,plain,
! [X0] :
( strictorderedP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f68]) ).
fof(f68,axiom,
! [X0] :
( ssItem(X0)
=> strictorderedP(cons(X0,nil)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f734,plain,
( spl51_1
| spl51_4 ),
inference(avatar_contradiction_clause,[],[f733]) ).
fof(f733,plain,
( $false
| spl51_1
| spl51_4 ),
inference(subsumption_resolution,[],[f732,f420]) ).
fof(f420,plain,
ssList(sK3),
inference(definition_unfolding,[],[f229,f224]) ).
fof(f224,plain,
sK1 = sK3,
inference(cnf_transformation,[],[f98]) ).
fof(f229,plain,
ssList(sK1),
inference(cnf_transformation,[],[f98]) ).
fof(f732,plain,
( ~ ssList(sK3)
| spl51_1
| spl51_4 ),
inference(subsumption_resolution,[],[f731,f564]) ).
fof(f564,plain,
( nil != sK3
| spl51_4 ),
inference(avatar_component_clause,[],[f563]) ).
fof(f563,plain,
( spl51_4
<=> nil = sK3 ),
introduced(avatar_definition,[new_symbols(naming,[spl51_4])]) ).
fof(f731,plain,
( nil = sK3
| ~ ssList(sK3)
| spl51_1 ),
inference(subsumption_resolution,[],[f728,f239]) ).
fof(f239,plain,
ssList(nil),
inference(cnf_transformation,[],[f17]) ).
fof(f17,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f728,plain,
( ~ ssList(nil)
| nil = sK3
| ~ ssList(sK3)
| spl51_1 ),
inference(resolution,[],[f389,f457]) ).
fof(f457,plain,
( ~ neq(sK3,nil)
| spl51_1 ),
inference(avatar_component_clause,[],[f455]) ).
fof(f455,plain,
( spl51_1
<=> neq(sK3,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_1])]) ).
fof(f389,plain,
! [X0,X1] :
( neq(X0,X1)
| ~ ssList(X1)
| X0 = X1
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f197]) ).
fof(f197,plain,
! [X0] :
( ! [X1] :
( ( neq(X0,X1)
<=> X0 != X1 )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( neq(X0,X1)
<=> X0 != X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f641,plain,
~ spl51_7,
inference(avatar_contradiction_clause,[],[f640]) ).
fof(f640,plain,
( $false
| ~ spl51_7 ),
inference(subsumption_resolution,[],[f638,f238]) ).
fof(f238,plain,
strictorderedP(nil),
inference(cnf_transformation,[],[f69]) ).
fof(f69,axiom,
strictorderedP(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f638,plain,
( ~ strictorderedP(nil)
| ~ spl51_7 ),
inference(backward_demodulation,[],[f421,f615]) ).
fof(f615,plain,
( nil = sK2
| ~ spl51_7 ),
inference(avatar_component_clause,[],[f613]) ).
fof(f613,plain,
( spl51_7
<=> nil = sK2 ),
introduced(avatar_definition,[new_symbols(naming,[spl51_7])]) ).
fof(f633,plain,
( spl51_7
| ~ spl51_4 ),
inference(avatar_split_clause,[],[f632,f563,f613]) ).
fof(f632,plain,
( nil = sK2
| ~ spl51_4 ),
inference(subsumption_resolution,[],[f631,f419]) ).
fof(f631,plain,
( nil = sK2
| ~ ssList(sK2)
| ~ spl51_4 ),
inference(resolution,[],[f626,f371]) ).
fof(f371,plain,
! [X0] :
( ~ segmentP(nil,X0)
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f176]) ).
fof(f176,plain,
! [X0] :
( ( segmentP(nil,X0)
<=> nil = X0 )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f58]) ).
fof(f58,axiom,
! [X0] :
( ssList(X0)
=> ( segmentP(nil,X0)
<=> nil = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f626,plain,
( segmentP(nil,sK2)
| ~ spl51_4 ),
inference(backward_demodulation,[],[f226,f565]) ).
fof(f565,plain,
( nil = sK3
| ~ spl51_4 ),
inference(avatar_component_clause,[],[f563]) ).
fof(f226,plain,
segmentP(sK3,sK2),
inference(cnf_transformation,[],[f98]) ).
fof(f462,plain,
( ~ spl51_1
| spl51_2 ),
inference(avatar_split_clause,[],[f222,f459,f455]) ).
fof(f222,plain,
( singletonP(sK2)
| ~ neq(sK3,nil) ),
inference(cnf_transformation,[],[f98]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.10 % Problem : SWC294+1 : TPTP v8.2.0. Released v2.4.0.
% 0.03/0.10 % Command : run_vampire %s %d SAT
% 0.09/0.30 % Computer : n027.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Thu Jun 20 02:13:24 EDT 2024
% 0.09/0.31 % CPUTime :
% 0.16/0.32 This is a FOF_THM_RFO_SEQ problem
% 0.16/0.32 Running first-order model finding
% 0.16/0.32 Running /export/starexec/sandbox2/solver/bin/vampire --mode casc_sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.38 % (8184)Running in auto input_syntax mode. Trying TPTP
% 0.17/0.38 % (8189)ott+21_1:1_sil=4000:i=104:fsd=on:fd=off:newcnf=on_0 on theBenchmark for (3000ds/104Mi)
% 0.17/0.38 % (8184)Running in auto input_syntax mode. Trying TPTP
% 0.17/0.38 % (8187)fmb+10_1:1_sil=256000:fmbes=contour:i=214858:bce=on_0 on theBenchmark for (3000ds/214858Mi)
% 0.17/0.38 % (8184)Running in auto input_syntax mode. Trying TPTP
% 0.17/0.38 % (8191)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)
% 0.17/0.38 % (8184)Running in auto input_syntax mode. Trying TPTP
% 0.17/0.38 % (8185)fmb+10_1:1_sil=256000:i=98885:tgt=full:fmbsr=1.3:fmbss=10_0 on theBenchmark for (3000ds/98885Mi)
% 0.17/0.38 % (8184)Running in auto input_syntax mode. Trying TPTP
% 0.17/0.38 % (8190)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)
% 0.17/0.38 % (8184)Running in auto input_syntax mode. Trying TPTP
% 0.17/0.38 % (8186)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)
% 0.17/0.39 % (8184)Running in auto input_syntax mode. Trying TPTP
% 0.17/0.39 % (8188)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)
% 0.17/0.40 TRYING [1]
% 0.17/0.40 TRYING [2]
% 0.17/0.40 TRYING [3]
% 0.17/0.41 % (8189)First to succeed.
% 0.17/0.41 % (8189)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-8184"
% 0.17/0.42 % (8184)Running in auto input_syntax mode. Trying TPTP
% 0.17/0.42 % (8189)Refutation found. Thanks to Tanya!
% 0.17/0.42 % SZS status Theorem for theBenchmark
% 0.17/0.42 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.42 % (8189)------------------------------
% 0.17/0.42 % (8189)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.17/0.42 % (8189)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.17/0.42 % (8189)Termination reason: Refutation
% 0.17/0.42
% 0.17/0.42 % (8189)Memory used [KB]: 1336
% 0.17/0.42 % (8189)Time elapsed: 0.031 s
% 0.17/0.42 % (8189)Instructions burned: 59 (million)
% 0.17/0.42 % (8189)------------------------------
% 0.17/0.42 % (8189)------------------------------
% 0.17/0.42 % (8184)Success in time 0.089 s
%------------------------------------------------------------------------------