TSTP Solution File: SEU189+2 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SEU189+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% Computer : n008.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 18:27:14 EDT 2022
% Result : Theorem 0.19s 0.54s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 9
% Syntax : Number of formulae : 49 ( 5 unt; 0 def)
% Number of atoms : 131 ( 47 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 141 ( 59 ~; 56 |; 15 &)
% ( 4 <=>; 6 =>; 0 <=; 1 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 3 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-1 aty)
% Number of variables : 17 ( 13 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1077,plain,
$false,
inference(avatar_sat_refutation,[],[f991,f1003,f1043,f1071]) ).
fof(f1071,plain,
( ~ spl52_1
| spl52_2 ),
inference(avatar_contradiction_clause,[],[f1070]) ).
fof(f1070,plain,
( $false
| ~ spl52_1
| spl52_2 ),
inference(subsumption_resolution,[],[f1065,f625]) ).
fof(f625,plain,
empty_set = relation_rng(empty_set),
inference(cnf_transformation,[],[f153]) ).
fof(f153,axiom,
( empty_set = relation_dom(empty_set)
& empty_set = relation_rng(empty_set) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t60_relat_1) ).
fof(f1065,plain,
( empty_set != relation_rng(empty_set)
| ~ spl52_1
| spl52_2 ),
inference(backward_demodulation,[],[f990,f1061]) ).
fof(f1061,plain,
( empty_set = sK44
| ~ spl52_1 ),
inference(resolution,[],[f1055,f726]) ).
fof(f726,plain,
! [X0] :
( ~ empty(X0)
| empty_set = X0 ),
inference(cnf_transformation,[],[f328]) ).
fof(f328,plain,
! [X0] :
( empty_set = X0
| ~ empty(X0) ),
inference(ennf_transformation,[],[f161]) ).
fof(f161,axiom,
! [X0] :
( empty(X0)
=> empty_set = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_boole) ).
fof(f1055,plain,
( empty(sK44)
| ~ spl52_1 ),
inference(subsumption_resolution,[],[f1054,f709]) ).
fof(f709,plain,
empty(empty_set),
inference(cnf_transformation,[],[f64]) ).
fof(f64,axiom,
( empty(empty_set)
& relation(empty_set) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc4_relat_1) ).
fof(f1054,plain,
( empty(sK44)
| ~ empty(empty_set)
| ~ spl52_1 ),
inference(subsumption_resolution,[],[f1052,f820]) ).
fof(f820,plain,
relation(sK44),
inference(cnf_transformation,[],[f551]) ).
fof(f551,plain,
( ( empty_set != relation_rng(sK44)
| empty_set != relation_dom(sK44) )
& ( empty_set = relation_rng(sK44)
| empty_set = relation_dom(sK44) )
& relation(sK44) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK44])],[f549,f550]) ).
fof(f550,plain,
( ? [X0] :
( ( empty_set != relation_rng(X0)
| empty_set != relation_dom(X0) )
& ( empty_set = relation_rng(X0)
| empty_set = relation_dom(X0) )
& relation(X0) )
=> ( ( empty_set != relation_rng(sK44)
| empty_set != relation_dom(sK44) )
& ( empty_set = relation_rng(sK44)
| empty_set = relation_dom(sK44) )
& relation(sK44) ) ),
introduced(choice_axiom,[]) ).
fof(f549,plain,
? [X0] :
( ( empty_set != relation_rng(X0)
| empty_set != relation_dom(X0) )
& ( empty_set = relation_rng(X0)
| empty_set = relation_dom(X0) )
& relation(X0) ),
inference(flattening,[],[f548]) ).
fof(f548,plain,
? [X0] :
( ( empty_set != relation_rng(X0)
| empty_set != relation_dom(X0) )
& ( empty_set = relation_rng(X0)
| empty_set = relation_dom(X0) )
& relation(X0) ),
inference(nnf_transformation,[],[f263]) ).
fof(f263,plain,
? [X0] :
( ( empty_set = relation_dom(X0)
<~> empty_set = relation_rng(X0) )
& relation(X0) ),
inference(ennf_transformation,[],[f158]) ).
fof(f158,negated_conjecture,
~ ! [X0] :
( relation(X0)
=> ( empty_set = relation_rng(X0)
<=> empty_set = relation_dom(X0) ) ),
inference(negated_conjecture,[],[f157]) ).
fof(f157,conjecture,
! [X0] :
( relation(X0)
=> ( empty_set = relation_rng(X0)
<=> empty_set = relation_dom(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t65_relat_1) ).
fof(f1052,plain,
( ~ relation(sK44)
| empty(sK44)
| ~ empty(empty_set)
| ~ spl52_1 ),
inference(superposition,[],[f608,f985]) ).
fof(f985,plain,
( empty_set = relation_dom(sK44)
| ~ spl52_1 ),
inference(avatar_component_clause,[],[f984]) ).
fof(f984,plain,
( spl52_1
<=> empty_set = relation_dom(sK44) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_1])]) ).
fof(f608,plain,
! [X0] :
( ~ empty(relation_dom(X0))
| ~ relation(X0)
| empty(X0) ),
inference(cnf_transformation,[],[f283]) ).
fof(f283,plain,
! [X0] :
( empty(X0)
| ~ relation(X0)
| ~ empty(relation_dom(X0)) ),
inference(flattening,[],[f282]) ).
fof(f282,plain,
! [X0] :
( ~ empty(relation_dom(X0))
| ~ relation(X0)
| empty(X0) ),
inference(ennf_transformation,[],[f66]) ).
fof(f66,axiom,
! [X0] :
( ( relation(X0)
& ~ empty(X0) )
=> ~ empty(relation_dom(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc5_relat_1) ).
fof(f990,plain,
( empty_set != relation_rng(sK44)
| spl52_2 ),
inference(avatar_component_clause,[],[f988]) ).
fof(f988,plain,
( spl52_2
<=> empty_set = relation_rng(sK44) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_2])]) ).
fof(f1043,plain,
( spl52_1
| ~ spl52_2 ),
inference(avatar_contradiction_clause,[],[f1042]) ).
fof(f1042,plain,
( $false
| spl52_1
| ~ spl52_2 ),
inference(subsumption_resolution,[],[f1035,f626]) ).
fof(f626,plain,
empty_set = relation_dom(empty_set),
inference(cnf_transformation,[],[f153]) ).
fof(f1035,plain,
( empty_set != relation_dom(empty_set)
| spl52_1
| ~ spl52_2 ),
inference(backward_demodulation,[],[f986,f1032]) ).
fof(f1032,plain,
( empty_set = sK44
| ~ spl52_2 ),
inference(resolution,[],[f1022,f726]) ).
fof(f1022,plain,
( empty(sK44)
| ~ spl52_2 ),
inference(subsumption_resolution,[],[f1021,f820]) ).
fof(f1021,plain,
( empty(sK44)
| ~ relation(sK44)
| ~ spl52_2 ),
inference(subsumption_resolution,[],[f1019,f709]) ).
fof(f1019,plain,
( ~ empty(empty_set)
| ~ relation(sK44)
| empty(sK44)
| ~ spl52_2 ),
inference(superposition,[],[f735,f989]) ).
fof(f989,plain,
( empty_set = relation_rng(sK44)
| ~ spl52_2 ),
inference(avatar_component_clause,[],[f988]) ).
fof(f735,plain,
! [X0] :
( ~ empty(relation_rng(X0))
| ~ relation(X0)
| empty(X0) ),
inference(cnf_transformation,[],[f254]) ).
fof(f254,plain,
! [X0] :
( empty(X0)
| ~ empty(relation_rng(X0))
| ~ relation(X0) ),
inference(flattening,[],[f253]) ).
fof(f253,plain,
! [X0] :
( ~ empty(relation_rng(X0))
| ~ relation(X0)
| empty(X0) ),
inference(ennf_transformation,[],[f67]) ).
fof(f67,axiom,
! [X0] :
( ( relation(X0)
& ~ empty(X0) )
=> ~ empty(relation_rng(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc6_relat_1) ).
fof(f986,plain,
( empty_set != relation_dom(sK44)
| spl52_1 ),
inference(avatar_component_clause,[],[f984]) ).
fof(f1003,plain,
( spl52_2
| spl52_1 ),
inference(avatar_split_clause,[],[f821,f984,f988]) ).
fof(f821,plain,
( empty_set = relation_dom(sK44)
| empty_set = relation_rng(sK44) ),
inference(cnf_transformation,[],[f551]) ).
fof(f991,plain,
( ~ spl52_1
| ~ spl52_2 ),
inference(avatar_split_clause,[],[f822,f988,f984]) ).
fof(f822,plain,
( empty_set != relation_rng(sK44)
| empty_set != relation_dom(sK44) ),
inference(cnf_transformation,[],[f551]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SEU189+2 : TPTP v8.1.0. Released v3.3.0.
% 0.06/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.34 % Computer : n008.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 14:51:40 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.49 % (5560)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.50 % (5544)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.50 % (5547)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.19/0.50 % (5568)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.50 % (5560)Instruction limit reached!
% 0.19/0.50 % (5560)------------------------------
% 0.19/0.50 % (5560)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (5549)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.19/0.51 % (5546)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.19/0.51 % (5560)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (5560)Termination reason: Unknown
% 0.19/0.51 % (5560)Termination phase: SInE selection
% 0.19/0.51
% 0.19/0.51 % (5560)Memory used [KB]: 1535
% 0.19/0.51 % (5560)Time elapsed: 0.004 s
% 0.19/0.51 % (5560)Instructions burned: 2 (million)
% 0.19/0.51 % (5560)------------------------------
% 0.19/0.51 % (5560)------------------------------
% 0.19/0.51 % (5551)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 0.19/0.51 % (5543)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.51 % (5556)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.51 % (5545)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.19/0.52 % (5551)Instruction limit reached!
% 0.19/0.52 % (5551)------------------------------
% 0.19/0.52 % (5551)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (5551)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (5551)Termination reason: Unknown
% 0.19/0.52 % (5551)Termination phase: Property scanning
% 0.19/0.52
% 0.19/0.52 % (5551)Memory used [KB]: 1918
% 0.19/0.52 % (5551)Time elapsed: 0.009 s
% 0.19/0.52 % (5551)Instructions burned: 12 (million)
% 0.19/0.52 % (5551)------------------------------
% 0.19/0.52 % (5551)------------------------------
% 0.19/0.52 % (5564)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.19/0.52 % (5554)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.52 % (5567)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 0.19/0.52 % (5543)Instruction limit reached!
% 0.19/0.52 % (5543)------------------------------
% 0.19/0.52 % (5543)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (5543)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (5543)Termination reason: Unknown
% 0.19/0.52 % (5543)Termination phase: Preprocessing 3
% 0.19/0.52
% 0.19/0.52 % (5543)Memory used [KB]: 1663
% 0.19/0.52 % (5543)Time elapsed: 0.004 s
% 0.19/0.52 % (5543)Instructions burned: 4 (million)
% 0.19/0.52 % (5543)------------------------------
% 0.19/0.52 % (5543)------------------------------
% 0.19/0.52 % (5542)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.19/0.52 % (5548)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.19/0.52 % (5565)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.19/0.52 % (5541)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.19/0.53 % (5559)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.53 % (5559)Instruction limit reached!
% 0.19/0.53 % (5559)------------------------------
% 0.19/0.53 % (5559)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (5559)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (5559)Termination reason: Unknown
% 0.19/0.53 % (5559)Termination phase: shuffling
% 0.19/0.53
% 0.19/0.53 % (5559)Memory used [KB]: 1663
% 0.19/0.53 % (5559)Time elapsed: 0.003 s
% 0.19/0.53 % (5559)Instructions burned: 3 (million)
% 0.19/0.53 % (5559)------------------------------
% 0.19/0.53 % (5559)------------------------------
% 0.19/0.53 % (5563)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.53 % (5552)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.53 % (5568)First to succeed.
% 0.19/0.53 % (5569)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.19/0.53 % (5555)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.53 % (5552)Instruction limit reached!
% 0.19/0.53 % (5552)------------------------------
% 0.19/0.53 % (5552)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (5552)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (5552)Termination reason: Unknown
% 0.19/0.53 % (5552)Termination phase: Preprocessing 3
% 0.19/0.53
% 0.19/0.53 % (5552)Memory used [KB]: 1791
% 0.19/0.53 % (5552)Time elapsed: 0.005 s
% 0.19/0.53 % (5552)Instructions burned: 7 (million)
% 0.19/0.53 % (5552)------------------------------
% 0.19/0.53 % (5552)------------------------------
% 0.19/0.53 % (5555)Instruction limit reached!
% 0.19/0.53 % (5555)------------------------------
% 0.19/0.53 % (5555)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (5555)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (5555)Termination reason: Unknown
% 0.19/0.53 % (5555)Termination phase: Preprocessing 3
% 0.19/0.53
% 0.19/0.53 % (5555)Memory used [KB]: 1663
% 0.19/0.53 % (5555)Time elapsed: 0.004 s
% 0.19/0.53 % (5555)Instructions burned: 3 (million)
% 0.19/0.53 % (5555)------------------------------
% 0.19/0.53 % (5555)------------------------------
% 0.19/0.54 % (5568)Refutation found. Thanks to Tanya!
% 0.19/0.54 % SZS status Theorem for theBenchmark
% 0.19/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.54 % (5568)------------------------------
% 0.19/0.54 % (5568)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (5568)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (5568)Termination reason: Refutation
% 0.19/0.54
% 0.19/0.54 % (5568)Memory used [KB]: 6908
% 0.19/0.54 % (5568)Time elapsed: 0.139 s
% 0.19/0.54 % (5568)Instructions burned: 28 (million)
% 0.19/0.54 % (5568)------------------------------
% 0.19/0.54 % (5568)------------------------------
% 0.19/0.54 % (5538)Success in time 0.186 s
%------------------------------------------------------------------------------