TSTP Solution File: SEU162+1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SEU162+1 : 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 : n028.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 18:27:00 EDT 2022
% Result : Theorem 1.50s 0.58s
% Output : Refutation 1.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 8
% Syntax : Number of formulae : 45 ( 1 unt; 0 def)
% Number of atoms : 103 ( 23 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 102 ( 44 ~; 42 |; 7 &)
% ( 5 <=>; 3 =>; 0 <=; 1 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 3 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 52 ( 46 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f68,plain,
$false,
inference(avatar_sat_refutation,[],[f38,f39,f60,f67]) ).
fof(f67,plain,
( ~ spl2_1
| ~ spl2_2 ),
inference(avatar_split_clause,[],[f65,f35,f31]) ).
fof(f31,plain,
( spl2_1
<=> in(sK1,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1])]) ).
fof(f35,plain,
( spl2_2
<=> sK0 = set_difference(sK0,singleton(sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_2])]) ).
fof(f65,plain,
( ~ in(sK1,sK0)
| ~ spl2_2 ),
inference(resolution,[],[f64,f29]) ).
fof(f29,plain,
! [X0,X1] :
( ~ disjoint(singleton(X0),X1)
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f21]) ).
fof(f21,plain,
! [X0,X1] :
( ~ in(X0,X1)
| ~ disjoint(singleton(X0),X1) ),
inference(rectify,[],[f13]) ).
fof(f13,plain,
! [X1,X0] :
( ~ in(X1,X0)
| ~ disjoint(singleton(X1),X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,plain,
! [X0,X1] :
~ ( in(X1,X0)
& disjoint(singleton(X1),X0) ),
inference(rectify,[],[f4]) ).
fof(f4,axiom,
! [X1,X0] :
~ ( in(X0,X1)
& disjoint(singleton(X0),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l25_zfmisc_1) ).
fof(f64,plain,
( disjoint(singleton(sK1),sK0)
| ~ spl2_2 ),
inference(resolution,[],[f63,f26]) ).
fof(f26,plain,
! [X0,X1] :
( ~ disjoint(X0,X1)
| disjoint(X1,X0) ),
inference(cnf_transformation,[],[f12]) ).
fof(f12,plain,
! [X0,X1] :
( ~ disjoint(X0,X1)
| disjoint(X1,X0) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0,X1] :
( disjoint(X0,X1)
=> disjoint(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmetry_r1_xboole_0) ).
fof(f63,plain,
( disjoint(sK0,singleton(sK1))
| ~ spl2_2 ),
inference(trivial_inequality_removal,[],[f62]) ).
fof(f62,plain,
( disjoint(sK0,singleton(sK1))
| sK0 != sK0
| ~ spl2_2 ),
inference(superposition,[],[f27,f36]) ).
fof(f36,plain,
( sK0 = set_difference(sK0,singleton(sK1))
| ~ spl2_2 ),
inference(avatar_component_clause,[],[f35]) ).
fof(f27,plain,
! [X0,X1] :
( set_difference(X0,X1) != X0
| disjoint(X0,X1) ),
inference(cnf_transformation,[],[f20]) ).
fof(f20,plain,
! [X0,X1] :
( ( set_difference(X0,X1) = X0
| ~ disjoint(X0,X1) )
& ( disjoint(X0,X1)
| set_difference(X0,X1) != X0 ) ),
inference(nnf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0,X1] :
( set_difference(X0,X1) = X0
<=> disjoint(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t83_xboole_1) ).
fof(f60,plain,
( spl2_1
| spl2_2 ),
inference(avatar_split_clause,[],[f55,f35,f31]) ).
fof(f55,plain,
( in(sK1,sK0)
| spl2_2 ),
inference(resolution,[],[f54,f49]) ).
fof(f49,plain,
! [X2,X3] :
( disjoint(X3,singleton(X2))
| in(X2,X3) ),
inference(resolution,[],[f46,f26]) ).
fof(f46,plain,
! [X0,X1] :
( disjoint(singleton(X0),X1)
| in(X0,X1) ),
inference(resolution,[],[f45,f26]) ).
fof(f45,plain,
! [X2,X3] :
( disjoint(X3,singleton(X2))
| in(X2,X3) ),
inference(resolution,[],[f42,f26]) ).
fof(f42,plain,
! [X0,X1] :
( disjoint(singleton(X0),X1)
| in(X0,X1) ),
inference(resolution,[],[f40,f26]) ).
fof(f40,plain,
! [X0,X1] :
( disjoint(X0,singleton(X1))
| in(X1,X0) ),
inference(resolution,[],[f26,f24]) ).
fof(f24,plain,
! [X0,X1] :
( disjoint(singleton(X1),X0)
| in(X1,X0) ),
inference(cnf_transformation,[],[f19]) ).
fof(f19,plain,
! [X0,X1] :
( disjoint(singleton(X1),X0)
| in(X1,X0) ),
inference(rectify,[],[f11]) ).
fof(f11,plain,
! [X1,X0] :
( disjoint(singleton(X0),X1)
| in(X0,X1) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X1,X0] :
( ~ in(X0,X1)
=> disjoint(singleton(X0),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l28_zfmisc_1) ).
fof(f54,plain,
( ~ disjoint(sK0,singleton(sK1))
| spl2_2 ),
inference(trivial_inequality_removal,[],[f52]) ).
fof(f52,plain,
( ~ disjoint(sK0,singleton(sK1))
| sK0 != sK0
| spl2_2 ),
inference(superposition,[],[f37,f28]) ).
fof(f28,plain,
! [X0,X1] :
( set_difference(X0,X1) = X0
| ~ disjoint(X0,X1) ),
inference(cnf_transformation,[],[f20]) ).
fof(f37,plain,
( sK0 != set_difference(sK0,singleton(sK1))
| spl2_2 ),
inference(avatar_component_clause,[],[f35]) ).
fof(f39,plain,
( spl2_2
| ~ spl2_1 ),
inference(avatar_split_clause,[],[f22,f31,f35]) ).
fof(f22,plain,
( ~ in(sK1,sK0)
| sK0 = set_difference(sK0,singleton(sK1)) ),
inference(cnf_transformation,[],[f18]) ).
fof(f18,plain,
( ( sK0 != set_difference(sK0,singleton(sK1))
| in(sK1,sK0) )
& ( sK0 = set_difference(sK0,singleton(sK1))
| ~ in(sK1,sK0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f16,f17]) ).
fof(f17,plain,
( ? [X0,X1] :
( ( set_difference(X0,singleton(X1)) != X0
| in(X1,X0) )
& ( set_difference(X0,singleton(X1)) = X0
| ~ in(X1,X0) ) )
=> ( ( sK0 != set_difference(sK0,singleton(sK1))
| in(sK1,sK0) )
& ( sK0 = set_difference(sK0,singleton(sK1))
| ~ in(sK1,sK0) ) ) ),
introduced(choice_axiom,[]) ).
fof(f16,plain,
? [X0,X1] :
( ( set_difference(X0,singleton(X1)) != X0
| in(X1,X0) )
& ( set_difference(X0,singleton(X1)) = X0
| ~ in(X1,X0) ) ),
inference(nnf_transformation,[],[f15]) ).
fof(f15,plain,
? [X0,X1] :
( ~ in(X1,X0)
<~> set_difference(X0,singleton(X1)) = X0 ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,negated_conjecture,
~ ! [X0,X1] :
( ~ in(X1,X0)
<=> set_difference(X0,singleton(X1)) = X0 ),
inference(negated_conjecture,[],[f7]) ).
fof(f7,conjecture,
! [X0,X1] :
( ~ in(X1,X0)
<=> set_difference(X0,singleton(X1)) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t65_zfmisc_1) ).
fof(f38,plain,
( spl2_1
| ~ spl2_2 ),
inference(avatar_split_clause,[],[f23,f35,f31]) ).
fof(f23,plain,
( sK0 != set_difference(sK0,singleton(sK1))
| in(sK1,sK0) ),
inference(cnf_transformation,[],[f18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU162+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34 % Computer : n028.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
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 30 14:53:18 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.19/0.53 % (29617)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)
% 0.19/0.55 % (29617)Refutation not found, incomplete strategy% (29617)------------------------------
% 0.19/0.55 % (29617)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55 % (29617)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55 % (29617)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.55
% 0.19/0.55 % (29617)Memory used [KB]: 5884
% 0.19/0.55 % (29617)Time elapsed: 0.124 s
% 0.19/0.55 % (29617)Instructions burned: 2 (million)
% 0.19/0.55 % (29617)------------------------------
% 0.19/0.55 % (29617)------------------------------
% 0.19/0.55 % (29641)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)
% 0.19/0.55 % (29633)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)
% 0.19/0.56 % (29641)Refutation not found, incomplete strategy% (29641)------------------------------
% 0.19/0.56 % (29641)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.56 % (29633)Instruction limit reached!
% 0.19/0.56 % (29633)------------------------------
% 0.19/0.56 % (29633)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.56 % (29633)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.56 % (29633)Termination reason: Unknown
% 0.19/0.56 % (29633)Termination phase: Saturation
% 0.19/0.56
% 0.19/0.56 % (29633)Memory used [KB]: 5884
% 0.19/0.56 % (29633)Time elapsed: 0.004 s
% 0.19/0.56 % (29633)Instructions burned: 2 (million)
% 0.19/0.56 % (29633)------------------------------
% 0.19/0.56 % (29633)------------------------------
% 0.19/0.56 % (29641)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.56 % (29641)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.56
% 0.19/0.56 % (29641)Memory used [KB]: 5884
% 0.19/0.56 % (29641)Time elapsed: 0.134 s
% 0.19/0.56 % (29641)Instructions burned: 2 (million)
% 0.19/0.56 % (29641)------------------------------
% 0.19/0.56 % (29641)------------------------------
% 0.19/0.57 % (29621)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)
% 1.50/0.57 % (29625)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)
% 1.50/0.57 % (29625)Refutation not found, incomplete strategy% (29625)------------------------------
% 1.50/0.57 % (29625)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.50/0.57 % (29625)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.50/0.57 % (29625)Termination reason: Refutation not found, incomplete strategy
% 1.50/0.57
% 1.50/0.57 % (29625)Memory used [KB]: 5884
% 1.50/0.57 % (29625)Time elapsed: 0.150 s
% 1.50/0.57 % (29625)Instructions burned: 2 (million)
% 1.50/0.57 % (29625)------------------------------
% 1.50/0.57 % (29625)------------------------------
% 1.50/0.57 % (29618)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)
% 1.50/0.57 % (29618)Refutation not found, incomplete strategy% (29618)------------------------------
% 1.50/0.57 % (29618)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.50/0.57 % (29618)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.50/0.57 % (29618)Termination reason: Refutation not found, incomplete strategy
% 1.50/0.57
% 1.50/0.57 % (29618)Memory used [KB]: 5884
% 1.50/0.57 % (29618)Time elapsed: 0.152 s
% 1.50/0.57 % (29618)Instructions burned: 2 (million)
% 1.50/0.57 % (29618)------------------------------
% 1.50/0.57 % (29618)------------------------------
% 1.50/0.57 % (29637)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)
% 1.50/0.57 % (29623)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)
% 1.50/0.57 % (29619)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)
% 1.50/0.57 % (29637)First to succeed.
% 1.50/0.58 % (29643)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 1.50/0.58 % (29629)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)
% 1.50/0.58 % (29643)Refutation not found, incomplete strategy% (29643)------------------------------
% 1.50/0.58 % (29643)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.50/0.58 % (29643)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.50/0.58 % (29643)Termination reason: Refutation not found, incomplete strategy
% 1.50/0.58
% 1.50/0.58 % (29643)Memory used [KB]: 5884
% 1.50/0.58 % (29643)Time elapsed: 0.166 s
% 1.50/0.58 % (29643)Instructions burned: 2 (million)
% 1.50/0.58 % (29643)------------------------------
% 1.50/0.58 % (29643)------------------------------
% 1.50/0.58 % (29629)Instruction limit reached!
% 1.50/0.58 % (29629)------------------------------
% 1.50/0.58 % (29629)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.50/0.58 % (29630)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)
% 1.50/0.58 % (29629)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.50/0.58 % (29629)Termination reason: Unknown
% 1.50/0.58 % (29629)Termination phase: Saturation
% 1.50/0.58
% 1.50/0.58 % (29629)Memory used [KB]: 5884
% 1.50/0.58 % (29629)Time elapsed: 0.159 s
% 1.50/0.58 % (29629)Instructions burned: 3 (million)
% 1.50/0.58 % (29629)------------------------------
% 1.50/0.58 % (29629)------------------------------
% 1.50/0.58 % (29637)Refutation found. Thanks to Tanya!
% 1.50/0.58 % SZS status Theorem for theBenchmark
% 1.50/0.58 % SZS output start Proof for theBenchmark
% See solution above
% 1.50/0.58 % (29637)------------------------------
% 1.50/0.58 % (29637)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.50/0.58 % (29637)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.50/0.58 % (29637)Termination reason: Refutation
% 1.50/0.58
% 1.50/0.58 % (29637)Memory used [KB]: 5884
% 1.50/0.58 % (29637)Time elapsed: 0.149 s
% 1.50/0.58 % (29637)Instructions burned: 2 (million)
% 1.50/0.58 % (29637)------------------------------
% 1.50/0.58 % (29637)------------------------------
% 1.50/0.58 % (29614)Success in time 0.225 s
%------------------------------------------------------------------------------