TSTP Solution File: SEU196+2 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SEU196+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_sat --cores 0 -t %d %s
% Computer : n016.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 18:32:27 EDT 2022
% Result : Theorem 1.89s 0.62s
% Output : Refutation 1.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 5
% Syntax : Number of formulae : 23 ( 8 unt; 0 def)
% Number of atoms : 45 ( 4 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 44 ( 22 ~; 11 |; 5 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-2 aty)
% Number of variables : 30 ( 24 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1958,plain,
$false,
inference(resolution,[],[f1953,f1319]) ).
fof(f1319,plain,
subset(relation_rng(relation_dom_restriction(sK34,sK35)),relation_rng(sK34)),
inference(consistent_polarity_flipping,[],[f849]) ).
fof(f849,plain,
~ subset(relation_rng(relation_dom_restriction(sK34,sK35)),relation_rng(sK34)),
inference(cnf_transformation,[],[f562]) ).
fof(f562,plain,
( relation(sK34)
& ~ subset(relation_rng(relation_dom_restriction(sK34,sK35)),relation_rng(sK34)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK34,sK35])],[f560,f561]) ).
fof(f561,plain,
( ? [X0,X1] :
( relation(X0)
& ~ subset(relation_rng(relation_dom_restriction(X0,X1)),relation_rng(X0)) )
=> ( relation(sK34)
& ~ subset(relation_rng(relation_dom_restriction(sK34,sK35)),relation_rng(sK34)) ) ),
introduced(choice_axiom,[]) ).
fof(f560,plain,
? [X0,X1] :
( relation(X0)
& ~ subset(relation_rng(relation_dom_restriction(X0,X1)),relation_rng(X0)) ),
inference(rectify,[],[f392]) ).
fof(f392,plain,
? [X1,X0] :
( relation(X1)
& ~ subset(relation_rng(relation_dom_restriction(X1,X0)),relation_rng(X1)) ),
inference(ennf_transformation,[],[f185]) ).
fof(f185,negated_conjecture,
~ ! [X1,X0] :
( relation(X1)
=> subset(relation_rng(relation_dom_restriction(X1,X0)),relation_rng(X1)) ),
inference(negated_conjecture,[],[f184]) ).
fof(f184,conjecture,
! [X1,X0] :
( relation(X1)
=> subset(relation_rng(relation_dom_restriction(X1,X0)),relation_rng(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t99_relat_1) ).
fof(f1953,plain,
! [X0] : ~ subset(relation_rng(relation_dom_restriction(sK34,X0)),relation_rng(sK34)),
inference(subsumption_resolution,[],[f1952,f850]) ).
fof(f850,plain,
relation(sK34),
inference(cnf_transformation,[],[f562]) ).
fof(f1952,plain,
! [X0] :
( ~ relation(sK34)
| ~ subset(relation_rng(relation_dom_restriction(sK34,X0)),relation_rng(sK34)) ),
inference(subsumption_resolution,[],[f1948,f926]) ).
fof(f926,plain,
! [X0] : relation(identity_relation(X0)),
inference(cnf_transformation,[],[f55]) ).
fof(f55,axiom,
! [X0] : relation(identity_relation(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k6_relat_1) ).
fof(f1948,plain,
! [X0] :
( ~ relation(identity_relation(X0))
| ~ relation(sK34)
| ~ subset(relation_rng(relation_dom_restriction(sK34,X0)),relation_rng(sK34)) ),
inference(superposition,[],[f1158,f1653]) ).
fof(f1653,plain,
! [X9] : relation_composition(identity_relation(X9),sK34) = relation_dom_restriction(sK34,X9),
inference(resolution,[],[f731,f850]) ).
fof(f731,plain,
! [X0,X1] :
( ~ relation(X1)
| relation_dom_restriction(X1,X0) = relation_composition(identity_relation(X0),X1) ),
inference(cnf_transformation,[],[f353]) ).
fof(f353,plain,
! [X0,X1] :
( ~ relation(X1)
| relation_dom_restriction(X1,X0) = relation_composition(identity_relation(X0),X1) ),
inference(ennf_transformation,[],[f183]) ).
fof(f183,axiom,
! [X1,X0] :
( relation(X1)
=> relation_dom_restriction(X1,X0) = relation_composition(identity_relation(X0),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t94_relat_1) ).
fof(f1158,plain,
! [X0,X1] :
( ~ subset(relation_rng(relation_composition(X0,X1)),relation_rng(X1))
| ~ relation(X1)
| ~ relation(X0) ),
inference(consistent_polarity_flipping,[],[f802]) ).
fof(f802,plain,
! [X0,X1] :
( ~ relation(X1)
| subset(relation_rng(relation_composition(X0,X1)),relation_rng(X1))
| ~ relation(X0) ),
inference(cnf_transformation,[],[f402]) ).
fof(f402,plain,
! [X0] :
( ! [X1] :
( subset(relation_rng(relation_composition(X0,X1)),relation_rng(X1))
| ~ relation(X1) )
| ~ relation(X0) ),
inference(ennf_transformation,[],[f146]) ).
fof(f146,axiom,
! [X0] :
( relation(X0)
=> ! [X1] :
( relation(X1)
=> subset(relation_rng(relation_composition(X0,X1)),relation_rng(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t45_relat_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SEU196+2 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n016.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 30 15:11:31 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.49 % (1464)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.49 % (1468)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.19/0.51 % (1476)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.19/0.51 % (1460)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.52 % (1452)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.19/0.53 % (1450)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.19/0.53 % (1473)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.19/0.53 % (1465)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.19/0.53 % (1454)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.53 % (1466)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.19/0.53 % (1462)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)
% 0.19/0.53 % (1459)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.53 % (1456)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.54 % (1455)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.19/0.54 % (1457)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.54 % (1459)Instruction limit reached!
% 0.19/0.54 % (1459)------------------------------
% 0.19/0.54 % (1459)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (1459)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (1459)Termination reason: Unknown
% 0.19/0.54 % (1459)Termination phase: Naming
% 0.19/0.54
% 0.19/0.54 % (1459)Memory used [KB]: 1151
% 0.19/0.54 % (1459)Time elapsed: 0.003 s
% 0.19/0.54 % (1459)Instructions burned: 3 (million)
% 0.19/0.54 % (1459)------------------------------
% 0.19/0.54 % (1459)------------------------------
% 0.19/0.54 % (1461)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.54 % (1457)Instruction limit reached!
% 0.19/0.54 % (1457)------------------------------
% 0.19/0.54 % (1457)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (1451)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.54 % (1475)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.19/0.54 % (1478)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.19/0.55 % (1472)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.19/0.55 % (1467)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.55 % (1470)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)
% 0.19/0.55 % (1471)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.19/0.55 % (1477)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.19/0.55 % (1463)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.55 % (1453)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.55 % (1469)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.55 % (1457)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55 % (1457)Termination reason: Unknown
% 0.19/0.55 % (1457)Termination phase: Property scanning
% 0.19/0.55
% 0.19/0.55 % (1457)Memory used [KB]: 1407
% 0.19/0.55 % (1457)Time elapsed: 0.007 s
% 0.19/0.55 % (1457)Instructions burned: 9 (million)
% 0.19/0.55 % (1457)------------------------------
% 0.19/0.55 % (1457)------------------------------
% 0.19/0.55 % (1480)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.19/0.56 % (1479)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.19/0.56 % (1468)Instruction limit reached!
% 0.19/0.56 % (1468)------------------------------
% 0.19/0.56 % (1468)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.56 % (1474)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.19/0.57 % (1468)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.57 % (1468)Termination reason: Unknown
% 0.19/0.57 % (1468)Termination phase: Finite model building preprocessing
% 0.19/0.57
% 0.19/0.57 % (1468)Memory used [KB]: 7419
% 0.19/0.57 % (1468)Time elapsed: 0.034 s
% 0.19/0.57 % (1468)Instructions burned: 59 (million)
% 0.19/0.57 % (1468)------------------------------
% 0.19/0.57 % (1468)------------------------------
% 1.89/0.60 % (1452)Instruction limit reached!
% 1.89/0.60 % (1452)------------------------------
% 1.89/0.60 % (1452)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.89/0.60 % (1452)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.89/0.60 % (1452)Termination reason: Unknown
% 1.89/0.60 % (1452)Termination phase: Saturation
% 1.89/0.60
% 1.89/0.60 % (1452)Memory used [KB]: 1791
% 1.89/0.60 % (1452)Time elapsed: 0.173 s
% 1.89/0.60 % (1452)Instructions burned: 37 (million)
% 1.89/0.60 % (1452)------------------------------
% 1.89/0.60 % (1452)------------------------------
% 1.89/0.61 % (1460)Instruction limit reached!
% 1.89/0.61 % (1460)------------------------------
% 1.89/0.61 % (1460)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.89/0.61 % (1460)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.89/0.61 % (1460)Termination reason: Unknown
% 1.89/0.61 % (1460)Termination phase: Saturation
% 1.89/0.61
% 1.89/0.61 % (1460)Memory used [KB]: 2430
% 1.89/0.61 % (1460)Time elapsed: 0.187 s
% 1.89/0.61 % (1460)Instructions burned: 52 (million)
% 1.89/0.61 % (1460)------------------------------
% 1.89/0.61 % (1460)------------------------------
% 1.89/0.62 % (1454)Instruction limit reached!
% 1.89/0.62 % (1454)------------------------------
% 1.89/0.62 % (1454)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.89/0.62 % (1454)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.89/0.62 % (1454)Termination reason: Unknown
% 1.89/0.62 % (1454)Termination phase: Saturation
% 1.89/0.62
% 1.89/0.62 % (1454)Memory used [KB]: 6524
% 1.89/0.62 % (1454)Time elapsed: 0.219 s
% 1.89/0.62 % (1454)Instructions burned: 51 (million)
% 1.89/0.62 % (1454)------------------------------
% 1.89/0.62 % (1454)------------------------------
% 1.89/0.62 % (1470)First to succeed.
% 1.89/0.62 % (1455)Instruction limit reached!
% 1.89/0.62 % (1455)------------------------------
% 1.89/0.62 % (1455)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.89/0.62 % (1455)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.89/0.62 % (1455)Termination reason: Unknown
% 1.89/0.62 % (1455)Termination phase: Saturation
% 1.89/0.62
% 1.89/0.62 % (1455)Memory used [KB]: 6524
% 1.89/0.62 % (1455)Time elapsed: 0.198 s
% 1.89/0.62 % (1455)Instructions burned: 48 (million)
% 1.89/0.62 % (1455)------------------------------
% 1.89/0.62 % (1455)------------------------------
% 1.89/0.62 % (1461)Instruction limit reached!
% 1.89/0.62 % (1461)------------------------------
% 1.89/0.62 % (1461)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.89/0.62 % (1461)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.89/0.62 % (1461)Termination reason: Unknown
% 1.89/0.62 % (1461)Termination phase: Saturation
% 1.89/0.62
% 1.89/0.62 % (1461)Memory used [KB]: 6652
% 1.89/0.62 % (1461)Time elapsed: 0.200 s
% 1.89/0.62 % (1461)Instructions burned: 50 (million)
% 1.89/0.62 % (1461)------------------------------
% 1.89/0.62 % (1461)------------------------------
% 1.89/0.62 % (1470)Refutation found. Thanks to Tanya!
% 1.89/0.62 % SZS status Theorem for theBenchmark
% 1.89/0.62 % SZS output start Proof for theBenchmark
% See solution above
% 1.89/0.62 % (1470)------------------------------
% 1.89/0.62 % (1470)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.89/0.62 % (1470)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.89/0.62 % (1470)Termination reason: Refutation
% 1.89/0.62
% 1.89/0.62 % (1470)Memory used [KB]: 2046
% 1.89/0.62 % (1470)Time elapsed: 0.195 s
% 1.89/0.62 % (1470)Instructions burned: 51 (million)
% 1.89/0.62 % (1470)------------------------------
% 1.89/0.62 % (1470)------------------------------
% 1.89/0.62 % (1449)Success in time 0.269 s
%------------------------------------------------------------------------------