TSTP Solution File: SEU056+1 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SEU056+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 : n012.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 18:31:50 EDT 2022
% Result : Theorem 0.11s 0.45s
% Output : Refutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 8
% Syntax : Number of formulae : 48 ( 11 unt; 0 def)
% Number of atoms : 130 ( 25 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 124 ( 42 ~; 35 |; 32 &)
% ( 5 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 4 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 57 ( 45 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f762,plain,
$false,
inference(avatar_sat_refutation,[],[f301,f322,f368,f761]) ).
fof(f761,plain,
~ spl14_11,
inference(avatar_contradiction_clause,[],[f758]) ).
fof(f758,plain,
( $false
| ~ spl14_11 ),
inference(resolution,[],[f726,f141]) ).
fof(f141,plain,
~ disjoint(relation_image(sK9,sK10),relation_image(sK9,sK8)),
inference(cnf_transformation,[],[f98]) ).
fof(f98,plain,
( ~ disjoint(relation_image(sK9,sK10),relation_image(sK9,sK8))
& one_to_one(sK9)
& function(sK9)
& disjoint(sK10,sK8)
& relation(sK9) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8,sK9,sK10])],[f96,f97]) ).
fof(f97,plain,
( ? [X0,X1,X2] :
( ~ disjoint(relation_image(X1,X2),relation_image(X1,X0))
& one_to_one(X1)
& function(X1)
& disjoint(X2,X0)
& relation(X1) )
=> ( ~ disjoint(relation_image(sK9,sK10),relation_image(sK9,sK8))
& one_to_one(sK9)
& function(sK9)
& disjoint(sK10,sK8)
& relation(sK9) ) ),
introduced(choice_axiom,[]) ).
fof(f96,plain,
? [X0,X1,X2] :
( ~ disjoint(relation_image(X1,X2),relation_image(X1,X0))
& one_to_one(X1)
& function(X1)
& disjoint(X2,X0)
& relation(X1) ),
inference(rectify,[],[f58]) ).
fof(f58,plain,
? [X1,X2,X0] :
( ~ disjoint(relation_image(X2,X0),relation_image(X2,X1))
& one_to_one(X2)
& function(X2)
& disjoint(X0,X1)
& relation(X2) ),
inference(flattening,[],[f57]) ).
fof(f57,plain,
? [X2,X1,X0] :
( ~ disjoint(relation_image(X2,X0),relation_image(X2,X1))
& disjoint(X0,X1)
& one_to_one(X2)
& relation(X2)
& function(X2) ),
inference(ennf_transformation,[],[f28]) ).
fof(f28,negated_conjecture,
~ ! [X2,X1,X0] :
( ( relation(X2)
& function(X2) )
=> ( ( disjoint(X0,X1)
& one_to_one(X2) )
=> disjoint(relation_image(X2,X0),relation_image(X2,X1)) ) ),
inference(negated_conjecture,[],[f27]) ).
fof(f27,conjecture,
! [X2,X1,X0] :
( ( relation(X2)
& function(X2) )
=> ( ( disjoint(X0,X1)
& one_to_one(X2) )
=> disjoint(relation_image(X2,X0),relation_image(X2,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t125_funct_1) ).
fof(f726,plain,
( disjoint(relation_image(sK9,sK10),relation_image(sK9,sK8))
| ~ spl14_11 ),
inference(trivial_inequality_removal,[],[f721]) ).
fof(f721,plain,
( disjoint(relation_image(sK9,sK10),relation_image(sK9,sK8))
| empty_set != empty_set
| ~ spl14_11 ),
inference(superposition,[],[f162,f527]) ).
fof(f527,plain,
( empty_set = set_intersection2(relation_image(sK9,sK10),relation_image(sK9,sK8))
| ~ spl14_11 ),
inference(forward_demodulation,[],[f525,f207]) ).
fof(f207,plain,
empty_set = relation_image(sK9,empty_set),
inference(resolution,[],[f114,f137]) ).
fof(f137,plain,
relation(sK9),
inference(cnf_transformation,[],[f98]) ).
fof(f114,plain,
! [X0] :
( ~ relation(X0)
| empty_set = relation_image(X0,empty_set) ),
inference(cnf_transformation,[],[f59]) ).
fof(f59,plain,
! [X0] :
( empty_set = relation_image(X0,empty_set)
| ~ relation(X0) ),
inference(ennf_transformation,[],[f29]) ).
fof(f29,axiom,
! [X0] :
( relation(X0)
=> empty_set = relation_image(X0,empty_set) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t149_relat_1) ).
fof(f525,plain,
( relation_image(sK9,empty_set) = set_intersection2(relation_image(sK9,sK10),relation_image(sK9,sK8))
| ~ spl14_11 ),
inference(superposition,[],[f296,f283]) ).
fof(f283,plain,
empty_set = set_intersection2(sK10,sK8),
inference(resolution,[],[f163,f138]) ).
fof(f138,plain,
disjoint(sK10,sK8),
inference(cnf_transformation,[],[f98]) ).
fof(f163,plain,
! [X0,X1] :
( ~ disjoint(X0,X1)
| set_intersection2(X0,X1) = empty_set ),
inference(cnf_transformation,[],[f110]) ).
fof(f110,plain,
! [X0,X1] :
( ( set_intersection2(X0,X1) = empty_set
| ~ disjoint(X0,X1) )
& ( disjoint(X0,X1)
| set_intersection2(X0,X1) != empty_set ) ),
inference(rectify,[],[f109]) ).
fof(f109,plain,
! [X1,X0] :
( ( set_intersection2(X1,X0) = empty_set
| ~ disjoint(X1,X0) )
& ( disjoint(X1,X0)
| set_intersection2(X1,X0) != empty_set ) ),
inference(nnf_transformation,[],[f44]) ).
fof(f44,plain,
! [X1,X0] :
( set_intersection2(X1,X0) = empty_set
<=> disjoint(X1,X0) ),
inference(rectify,[],[f6]) ).
fof(f6,axiom,
! [X1,X0] :
( set_intersection2(X0,X1) = empty_set
<=> disjoint(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d7_xboole_0) ).
fof(f296,plain,
( ! [X0,X1] : set_intersection2(relation_image(sK9,X0),relation_image(sK9,X1)) = relation_image(sK9,set_intersection2(X0,X1))
| ~ spl14_11 ),
inference(avatar_component_clause,[],[f295]) ).
fof(f295,plain,
( spl14_11
<=> ! [X0,X1] : set_intersection2(relation_image(sK9,X0),relation_image(sK9,X1)) = relation_image(sK9,set_intersection2(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_11])]) ).
fof(f162,plain,
! [X0,X1] :
( set_intersection2(X0,X1) != empty_set
| disjoint(X0,X1) ),
inference(cnf_transformation,[],[f110]) ).
fof(f368,plain,
spl14_12,
inference(avatar_contradiction_clause,[],[f366]) ).
fof(f366,plain,
( $false
| spl14_12 ),
inference(resolution,[],[f300,f139]) ).
fof(f139,plain,
function(sK9),
inference(cnf_transformation,[],[f98]) ).
fof(f300,plain,
( ~ function(sK9)
| spl14_12 ),
inference(avatar_component_clause,[],[f298]) ).
fof(f298,plain,
( spl14_12
<=> function(sK9) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_12])]) ).
fof(f322,plain,
spl14_10,
inference(avatar_contradiction_clause,[],[f321]) ).
fof(f321,plain,
( $false
| spl14_10 ),
inference(resolution,[],[f293,f137]) ).
fof(f293,plain,
( ~ relation(sK9)
| spl14_10 ),
inference(avatar_component_clause,[],[f291]) ).
fof(f291,plain,
( spl14_10
<=> relation(sK9) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_10])]) ).
fof(f301,plain,
( ~ spl14_10
| spl14_11
| ~ spl14_12 ),
inference(avatar_split_clause,[],[f288,f298,f295,f291]) ).
fof(f288,plain,
! [X0,X1] :
( ~ function(sK9)
| set_intersection2(relation_image(sK9,X0),relation_image(sK9,X1)) = relation_image(sK9,set_intersection2(X0,X1))
| ~ relation(sK9) ),
inference(resolution,[],[f152,f140]) ).
fof(f140,plain,
one_to_one(sK9),
inference(cnf_transformation,[],[f98]) ).
fof(f152,plain,
! [X2,X0,X1] :
( ~ one_to_one(X2)
| relation_image(X2,set_intersection2(X1,X0)) = set_intersection2(relation_image(X2,X1),relation_image(X2,X0))
| ~ relation(X2)
| ~ function(X2) ),
inference(cnf_transformation,[],[f105]) ).
fof(f105,plain,
! [X0,X1,X2] :
( relation_image(X2,set_intersection2(X1,X0)) = set_intersection2(relation_image(X2,X1),relation_image(X2,X0))
| ~ function(X2)
| ~ one_to_one(X2)
| ~ relation(X2) ),
inference(rectify,[],[f70]) ).
fof(f70,plain,
! [X1,X2,X0] :
( relation_image(X0,set_intersection2(X2,X1)) = set_intersection2(relation_image(X0,X2),relation_image(X0,X1))
| ~ function(X0)
| ~ one_to_one(X0)
| ~ relation(X0) ),
inference(flattening,[],[f69]) ).
fof(f69,plain,
! [X0,X2,X1] :
( relation_image(X0,set_intersection2(X2,X1)) = set_intersection2(relation_image(X0,X2),relation_image(X0,X1))
| ~ one_to_one(X0)
| ~ relation(X0)
| ~ function(X0) ),
inference(ennf_transformation,[],[f41]) ).
fof(f41,plain,
! [X0,X2,X1] :
( ( relation(X0)
& function(X0) )
=> ( one_to_one(X0)
=> relation_image(X0,set_intersection2(X2,X1)) = set_intersection2(relation_image(X0,X2),relation_image(X0,X1)) ) ),
inference(rectify,[],[f26]) ).
fof(f26,axiom,
! [X2,X1,X0] :
( ( relation(X2)
& function(X2) )
=> ( one_to_one(X2)
=> relation_image(X2,set_intersection2(X0,X1)) = set_intersection2(relation_image(X2,X0),relation_image(X2,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t121_funct_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07 % Problem : SEU056+1 : TPTP v8.1.0. Released v3.2.0.
% 0.00/0.07 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.07/0.26 % Computer : n012.cluster.edu
% 0.07/0.26 % Model : x86_64 x86_64
% 0.07/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.26 % Memory : 8042.1875MB
% 0.07/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.26 % CPULimit : 300
% 0.07/0.26 % WCLimit : 300
% 0.07/0.26 % DateTime : Tue Aug 30 14:34:50 EDT 2022
% 0.07/0.26 % CPUTime :
% 0.11/0.41 % (20537)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)
% 0.11/0.41 % (20529)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.11/0.42 % (20521)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.11/0.42 % (20516)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.11/0.42 % (20518)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.11/0.43 % (20516)Instruction limit reached!
% 0.11/0.43 % (20516)------------------------------
% 0.11/0.43 % (20516)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.11/0.43 % (20516)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.11/0.43 % (20516)Termination reason: Unknown
% 0.11/0.43 % (20516)Termination phase: Preprocessing 3
% 0.11/0.43
% 0.11/0.43 % (20516)Memory used [KB]: 895
% 0.11/0.43 % (20516)Time elapsed: 0.002 s
% 0.11/0.43 % (20516)Instructions burned: 2 (million)
% 0.11/0.43 % (20516)------------------------------
% 0.11/0.43 % (20516)------------------------------
% 0.11/0.43 % (20517)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)
% 0.11/0.43 % (20508)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)
% 0.11/0.43 % (20530)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)
% 0.11/0.44 % (20509)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)
% 0.11/0.44 % (20512)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.11/0.44 % (20522)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)
% 0.11/0.44 % (20509)Refutation not found, incomplete strategy% (20509)------------------------------
% 0.11/0.44 % (20509)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.11/0.44 % (20509)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.11/0.44 % (20509)Termination reason: Refutation not found, incomplete strategy
% 0.11/0.44
% 0.11/0.44 % (20509)Memory used [KB]: 5500
% 0.11/0.44 % (20509)Time elapsed: 0.117 s
% 0.11/0.44 % (20509)Instructions burned: 5 (million)
% 0.11/0.44 % (20509)------------------------------
% 0.11/0.44 % (20509)------------------------------
% 0.11/0.44 % (20537)First to succeed.
% 0.11/0.44 % (20515)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.11/0.44 % (20514)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)
% 0.11/0.44 % (20511)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)
% 0.11/0.44 % (20513)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)
% 0.11/0.45 % (20536)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.11/0.45 % (20515)Instruction limit reached!
% 0.11/0.45 % (20515)------------------------------
% 0.11/0.45 % (20515)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.11/0.45 % (20510)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)
% 0.11/0.45 TRYING [1]
% 0.11/0.45 TRYING [2]
% 0.11/0.45 TRYING [3]
% 0.11/0.45 % (20529)Also succeeded, but the first one will report.
% 0.11/0.45 % (20537)Refutation found. Thanks to Tanya!
% 0.11/0.45 % SZS status Theorem for theBenchmark
% 0.11/0.45 % SZS output start Proof for theBenchmark
% See solution above
% 0.11/0.45 % (20537)------------------------------
% 0.11/0.45 % (20537)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.11/0.45 % (20537)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.11/0.45 % (20537)Termination reason: Refutation
% 0.11/0.45
% 0.11/0.45 % (20537)Memory used [KB]: 5756
% 0.11/0.45 % (20537)Time elapsed: 0.109 s
% 0.11/0.45 % (20537)Instructions burned: 17 (million)
% 0.11/0.45 % (20537)------------------------------
% 0.11/0.45 % (20537)------------------------------
% 0.11/0.45 % (20507)Success in time 0.182 s
%------------------------------------------------------------------------------