TSTP Solution File: NUM388+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : NUM388+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n017.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 : Wed Aug 31 18:04:58 EDT 2022
% Result : Theorem 0.20s 0.50s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 11
% Syntax : Number of formulae : 53 ( 10 unt; 0 def)
% Number of atoms : 131 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 120 ( 42 ~; 40 |; 17 &)
% ( 7 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 12 ( 11 usr; 5 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-1 aty)
% Number of variables : 60 ( 54 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f400,plain,
$false,
inference(avatar_sat_refutation,[],[f204,f208,f377,f387,f394]) ).
fof(f394,plain,
~ spl16_16,
inference(avatar_contradiction_clause,[],[f389]) ).
fof(f389,plain,
( $false
| ~ spl16_16 ),
inference(resolution,[],[f376,f73]) ).
fof(f73,plain,
~ in(sK3,sK2),
inference(cnf_transformation,[],[f56]) ).
fof(f56,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( in(X2,X0)
& ~ in(X2,X1)
& epsilon_transitive(X2)
& in(X0,X1) )
& ordinal(X1) )
& ordinal(X0) ),
inference(flattening,[],[f55]) ).
fof(f55,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ~ in(X2,X1)
& in(X2,X0)
& in(X0,X1)
& epsilon_transitive(X2) )
& ordinal(X1) )
& ordinal(X0) ),
inference(ennf_transformation,[],[f25]) ).
fof(f25,negated_conjecture,
~ ! [X0] :
( ordinal(X0)
=> ! [X1] :
( ordinal(X1)
=> ! [X2] :
( epsilon_transitive(X2)
=> ( ( in(X2,X0)
& in(X0,X1) )
=> in(X2,X1) ) ) ) ),
inference(negated_conjecture,[],[f24]) ).
fof(f24,conjecture,
! [X0] :
( ordinal(X0)
=> ! [X1] :
( ordinal(X1)
=> ! [X2] :
( epsilon_transitive(X2)
=> ( ( in(X2,X0)
& in(X0,X1) )
=> in(X2,X1) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t19_ordinal1) ).
fof(f376,plain,
( in(sK3,sK2)
| ~ spl16_16 ),
inference(avatar_component_clause,[],[f374]) ).
fof(f374,plain,
( spl16_16
<=> in(sK3,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_16])]) ).
fof(f387,plain,
~ spl16_15,
inference(avatar_contradiction_clause,[],[f378]) ).
fof(f378,plain,
( $false
| ~ spl16_15 ),
inference(resolution,[],[f370,f133]) ).
fof(f133,plain,
~ empty(sK2),
inference(resolution,[],[f101,f71]) ).
fof(f71,plain,
in(sK1,sK2),
inference(cnf_transformation,[],[f56]) ).
fof(f101,plain,
! [X0,X1] :
( ~ in(X0,X1)
| ~ empty(X1) ),
inference(cnf_transformation,[],[f65]) ).
fof(f65,plain,
! [X1,X0] :
( ~ in(X0,X1)
| ~ empty(X1) ),
inference(ennf_transformation,[],[f32]) ).
fof(f32,axiom,
! [X0,X1] :
~ ( empty(X1)
& in(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_boole) ).
fof(f370,plain,
( empty(sK2)
| ~ spl16_15 ),
inference(avatar_component_clause,[],[f368]) ).
fof(f368,plain,
( spl16_15
<=> empty(sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_15])]) ).
fof(f377,plain,
( spl16_16
| spl16_15
| ~ spl16_4 ),
inference(avatar_split_clause,[],[f372,f201,f368,f374]) ).
fof(f201,plain,
( spl16_4
<=> subset(sK1,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_4])]) ).
fof(f372,plain,
( empty(sK2)
| in(sK3,sK2)
| ~ spl16_4 ),
inference(resolution,[],[f349,f91]) ).
fof(f91,plain,
! [X0,X1] :
( ~ element(X1,X0)
| in(X1,X0)
| empty(X0) ),
inference(cnf_transformation,[],[f48]) ).
fof(f48,plain,
! [X0,X1] :
( in(X1,X0)
| ~ element(X1,X0)
| empty(X0) ),
inference(flattening,[],[f47]) ).
fof(f47,plain,
! [X1,X0] :
( in(X1,X0)
| empty(X0)
| ~ element(X1,X0) ),
inference(ennf_transformation,[],[f34]) ).
fof(f34,plain,
! [X1,X0] :
( element(X1,X0)
=> ( in(X1,X0)
| empty(X0) ) ),
inference(rectify,[],[f27]) ).
fof(f27,axiom,
! [X1,X0] :
( element(X0,X1)
=> ( empty(X1)
| in(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_subset) ).
fof(f349,plain,
( element(sK3,sK2)
| ~ spl16_4 ),
inference(resolution,[],[f306,f74]) ).
fof(f74,plain,
in(sK3,sK1),
inference(cnf_transformation,[],[f56]) ).
fof(f306,plain,
( ! [X9] :
( ~ in(X9,sK1)
| element(X9,sK2) )
| ~ spl16_4 ),
inference(resolution,[],[f294,f203]) ).
fof(f203,plain,
( subset(sK1,sK2)
| ~ spl16_4 ),
inference(avatar_component_clause,[],[f201]) ).
fof(f294,plain,
! [X2,X0,X1] :
( ~ subset(X1,X2)
| element(X0,X2)
| ~ in(X0,X1) ),
inference(resolution,[],[f78,f102]) ).
fof(f102,plain,
! [X0,X1] :
( element(X0,powerset(X1))
| ~ subset(X0,X1) ),
inference(cnf_transformation,[],[f28]) ).
fof(f28,axiom,
! [X1,X0] :
( element(X0,powerset(X1))
<=> subset(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_subset) ).
fof(f78,plain,
! [X2,X0,X1] :
( ~ element(X1,powerset(X0))
| ~ in(X2,X1)
| element(X2,X0) ),
inference(cnf_transformation,[],[f58]) ).
fof(f58,plain,
! [X2,X0,X1] :
( ~ element(X1,powerset(X0))
| element(X2,X0)
| ~ in(X2,X1) ),
inference(flattening,[],[f57]) ).
fof(f57,plain,
! [X0,X1,X2] :
( element(X2,X0)
| ~ element(X1,powerset(X0))
| ~ in(X2,X1) ),
inference(ennf_transformation,[],[f40]) ).
fof(f40,plain,
! [X0,X1,X2] :
( ( element(X1,powerset(X0))
& in(X2,X1) )
=> element(X2,X0) ),
inference(rectify,[],[f29]) ).
fof(f29,axiom,
! [X2,X1,X0] :
( ( in(X0,X1)
& element(X1,powerset(X2)) )
=> element(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_subset) ).
fof(f208,plain,
spl16_3,
inference(avatar_contradiction_clause,[],[f207]) ).
fof(f207,plain,
( $false
| spl16_3 ),
inference(resolution,[],[f199,f127]) ).
fof(f127,plain,
epsilon_transitive(sK2),
inference(resolution,[],[f104,f75]) ).
fof(f75,plain,
ordinal(sK2),
inference(cnf_transformation,[],[f56]) ).
fof(f104,plain,
! [X0] :
( ~ ordinal(X0)
| epsilon_transitive(X0) ),
inference(cnf_transformation,[],[f60]) ).
fof(f60,plain,
! [X0] :
( ~ ordinal(X0)
| ( epsilon_connected(X0)
& epsilon_transitive(X0) ) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] :
( ordinal(X0)
=> ( epsilon_connected(X0)
& epsilon_transitive(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_ordinal1) ).
fof(f199,plain,
( ~ epsilon_transitive(sK2)
| spl16_3 ),
inference(avatar_component_clause,[],[f197]) ).
fof(f197,plain,
( spl16_3
<=> epsilon_transitive(sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_3])]) ).
fof(f204,plain,
( ~ spl16_3
| spl16_4 ),
inference(avatar_split_clause,[],[f183,f201,f197]) ).
fof(f183,plain,
( subset(sK1,sK2)
| ~ epsilon_transitive(sK2) ),
inference(resolution,[],[f100,f71]) ).
fof(f100,plain,
! [X0,X1] :
( ~ in(X1,X0)
| ~ epsilon_transitive(X0)
| subset(X1,X0) ),
inference(cnf_transformation,[],[f59]) ).
fof(f59,plain,
! [X0] :
( ! [X1] :
( ~ in(X1,X0)
| subset(X1,X0) )
<=> epsilon_transitive(X0) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0] :
( ! [X1] :
( in(X1,X0)
=> subset(X1,X0) )
<=> epsilon_transitive(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_ordinal1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : NUM388+1 : TPTP v8.1.0. Released v3.2.0.
% 0.04/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.34 % Computer : n017.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 : Tue Aug 30 05:58:35 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.20/0.49 % (24951)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.49 % (24951)First to succeed.
% 0.20/0.49 % (24959)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.49 % (24948)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.50 % (24948)Instruction limit reached!
% 0.20/0.50 % (24948)------------------------------
% 0.20/0.50 % (24948)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50 % (24948)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50 % (24948)Termination reason: Unknown
% 0.20/0.50 % (24948)Termination phase: Blocked clause elimination
% 0.20/0.50
% 0.20/0.50 % (24948)Memory used [KB]: 895
% 0.20/0.50 % (24948)Time elapsed: 0.003 s
% 0.20/0.50 % (24948)Instructions burned: 2 (million)
% 0.20/0.50 % (24948)------------------------------
% 0.20/0.50 % (24948)------------------------------
% 0.20/0.50 % (24951)Refutation found. Thanks to Tanya!
% 0.20/0.50 % SZS status Theorem for theBenchmark
% 0.20/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.50 % (24951)------------------------------
% 0.20/0.50 % (24951)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50 % (24951)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50 % (24951)Termination reason: Refutation
% 0.20/0.50
% 0.20/0.50 % (24951)Memory used [KB]: 5628
% 0.20/0.50 % (24951)Time elapsed: 0.096 s
% 0.20/0.50 % (24951)Instructions burned: 8 (million)
% 0.20/0.50 % (24951)------------------------------
% 0.20/0.50 % (24951)------------------------------
% 0.20/0.50 % (24939)Success in time 0.148 s
%------------------------------------------------------------------------------