TSTP Solution File: SEU120+2 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SEU120+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 18:26:44 EDT 2022
% Result : Theorem 0.14s 0.50s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 7
% Syntax : Number of formulae : 42 ( 3 unt; 0 def)
% Number of atoms : 112 ( 7 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 129 ( 59 ~; 38 |; 25 &)
% ( 7 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 4 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 72 ( 63 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f249,plain,
$false,
inference(avatar_sat_refutation,[],[f67,f69,f149,f246]) ).
fof(f246,plain,
( ~ spl8_1
| spl8_3 ),
inference(avatar_contradiction_clause,[],[f245]) ).
fof(f245,plain,
( $false
| ~ spl8_1
| spl8_3 ),
inference(subsumption_resolution,[],[f230,f56]) ).
fof(f56,plain,
( ! [X3] : ~ in(X3,set_intersection2(sK5,sK6))
| ~ spl8_1 ),
inference(avatar_component_clause,[],[f55]) ).
fof(f55,plain,
( spl8_1
<=> ! [X3] : ~ in(X3,set_intersection2(sK5,sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_1])]) ).
fof(f230,plain,
( in(sK3(sK5,sK6),set_intersection2(sK5,sK6))
| spl8_3 ),
inference(unit_resulting_resolution,[],[f150,f151,f51]) ).
fof(f51,plain,
! [X2,X3,X1] :
( in(X3,set_intersection2(X1,X2))
| ~ in(X3,X1)
| ~ in(X3,X2) ),
inference(equality_resolution,[],[f40]) ).
fof(f40,plain,
! [X2,X3,X0,X1] :
( in(X3,X0)
| ~ in(X3,X1)
| ~ in(X3,X2)
| set_intersection2(X1,X2) != X0 ),
inference(cnf_transformation,[],[f19]) ).
fof(f19,plain,
! [X0,X2,X1] :
( set_intersection2(X1,X2) = X0
<=> ! [X3] :
( ( in(X3,X2)
& in(X3,X1) )
<=> in(X3,X0) ) ),
inference(rectify,[],[f4]) ).
fof(f4,axiom,
! [X2,X0,X1] :
( ! [X3] :
( in(X3,X2)
<=> ( in(X3,X0)
& in(X3,X1) ) )
<=> set_intersection2(X0,X1) = X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_xboole_0) ).
fof(f151,plain,
( in(sK3(sK5,sK6),sK6)
| spl8_3 ),
inference(unit_resulting_resolution,[],[f65,f35]) ).
fof(f35,plain,
! [X0,X1] :
( disjoint(X1,X0)
| in(sK3(X0,X1),X1) ),
inference(cnf_transformation,[],[f22]) ).
fof(f22,plain,
! [X1,X0] :
( ( ! [X2] :
( ~ in(X2,X0)
| ~ in(X2,X1) )
| ~ disjoint(X1,X0) )
& ( disjoint(X1,X0)
| ? [X3] :
( in(X3,X0)
& in(X3,X1) ) ) ),
inference(ennf_transformation,[],[f17]) ).
fof(f17,plain,
! [X0,X1] :
( ~ ( ~ disjoint(X1,X0)
& ! [X3] :
~ ( in(X3,X0)
& in(X3,X1) ) )
& ~ ( ? [X2] :
( in(X2,X1)
& in(X2,X0) )
& disjoint(X1,X0) ) ),
inference(rectify,[],[f13]) ).
fof(f13,axiom,
! [X1,X0] :
( ~ ( ? [X2] :
( in(X2,X0)
& in(X2,X1) )
& disjoint(X0,X1) )
& ~ ( ! [X2] :
~ ( in(X2,X0)
& in(X2,X1) )
& ~ disjoint(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_xboole_0) ).
fof(f65,plain,
( ~ disjoint(sK6,sK5)
| spl8_3 ),
inference(avatar_component_clause,[],[f64]) ).
fof(f64,plain,
( spl8_3
<=> disjoint(sK6,sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_3])]) ).
fof(f150,plain,
( in(sK3(sK5,sK6),sK5)
| spl8_3 ),
inference(unit_resulting_resolution,[],[f65,f36]) ).
fof(f36,plain,
! [X0,X1] :
( disjoint(X1,X0)
| in(sK3(X0,X1),X0) ),
inference(cnf_transformation,[],[f22]) ).
fof(f149,plain,
( ~ spl8_3
| ~ spl8_2 ),
inference(avatar_split_clause,[],[f118,f58,f64]) ).
fof(f58,plain,
( spl8_2
<=> in(sK7,set_intersection2(sK5,sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_2])]) ).
fof(f118,plain,
( ~ disjoint(sK6,sK5)
| ~ spl8_2 ),
inference(unit_resulting_resolution,[],[f74,f75,f34]) ).
fof(f34,plain,
! [X2,X0,X1] :
( ~ disjoint(X1,X0)
| ~ in(X2,X1)
| ~ in(X2,X0) ),
inference(cnf_transformation,[],[f22]) ).
fof(f75,plain,
( in(sK7,sK5)
| ~ spl8_2 ),
inference(unit_resulting_resolution,[],[f60,f50]) ).
fof(f50,plain,
! [X2,X3,X1] :
( ~ in(X3,set_intersection2(X1,X2))
| in(X3,X1) ),
inference(equality_resolution,[],[f41]) ).
fof(f41,plain,
! [X2,X3,X0,X1] :
( ~ in(X3,X0)
| in(X3,X1)
| set_intersection2(X1,X2) != X0 ),
inference(cnf_transformation,[],[f19]) ).
fof(f60,plain,
( in(sK7,set_intersection2(sK5,sK6))
| ~ spl8_2 ),
inference(avatar_component_clause,[],[f58]) ).
fof(f74,plain,
( in(sK7,sK6)
| ~ spl8_2 ),
inference(unit_resulting_resolution,[],[f60,f49]) ).
fof(f49,plain,
! [X2,X3,X1] :
( ~ in(X3,set_intersection2(X1,X2))
| in(X3,X2) ),
inference(equality_resolution,[],[f42]) ).
fof(f42,plain,
! [X2,X3,X0,X1] :
( ~ in(X3,X0)
| in(X3,X2)
| set_intersection2(X1,X2) != X0 ),
inference(cnf_transformation,[],[f19]) ).
fof(f69,plain,
( spl8_2
| ~ spl8_3 ),
inference(avatar_split_clause,[],[f68,f64,f58]) ).
fof(f68,plain,
( ~ disjoint(sK6,sK5)
| in(sK7,set_intersection2(sK5,sK6)) ),
inference(forward_demodulation,[],[f46,f32]) ).
fof(f32,plain,
! [X0,X1] : set_intersection2(X0,X1) = set_intersection2(X1,X0),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X1,X0] : set_intersection2(X0,X1) = set_intersection2(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_k3_xboole_0) ).
fof(f46,plain,
( in(sK7,set_intersection2(sK6,sK5))
| ~ disjoint(sK6,sK5) ),
inference(cnf_transformation,[],[f24]) ).
fof(f24,plain,
? [X0,X1] :
( ( ~ disjoint(X1,X0)
& ! [X3] : ~ in(X3,set_intersection2(X1,X0)) )
| ( ? [X2] : in(X2,set_intersection2(X1,X0))
& disjoint(X1,X0) ) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,plain,
~ ! [X0,X1] :
( ~ ( ~ disjoint(X1,X0)
& ! [X3] : ~ in(X3,set_intersection2(X1,X0)) )
& ~ ( ? [X2] : in(X2,set_intersection2(X1,X0))
& disjoint(X1,X0) ) ),
inference(rectify,[],[f15]) ).
fof(f15,negated_conjecture,
~ ! [X1,X0] :
( ~ ( ? [X2] : in(X2,set_intersection2(X0,X1))
& disjoint(X0,X1) )
& ~ ( ! [X2] : ~ in(X2,set_intersection2(X0,X1))
& ~ disjoint(X0,X1) ) ),
inference(negated_conjecture,[],[f14]) ).
fof(f14,conjecture,
! [X1,X0] :
( ~ ( ? [X2] : in(X2,set_intersection2(X0,X1))
& disjoint(X0,X1) )
& ~ ( ! [X2] : ~ in(X2,set_intersection2(X0,X1))
& ~ disjoint(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t4_xboole_0) ).
fof(f67,plain,
( spl8_3
| spl8_1 ),
inference(avatar_split_clause,[],[f62,f55,f64]) ).
fof(f62,plain,
! [X3] :
( ~ in(X3,set_intersection2(sK5,sK6))
| disjoint(sK6,sK5) ),
inference(forward_demodulation,[],[f47,f32]) ).
fof(f47,plain,
! [X3] :
( disjoint(sK6,sK5)
| ~ in(X3,set_intersection2(sK6,sK5)) ),
inference(cnf_transformation,[],[f24]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.11 % Problem : SEU120+2 : TPTP v8.1.0. Released v3.3.0.
% 0.05/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.10/0.32 % Computer : n008.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % WCLimit : 300
% 0.10/0.32 % DateTime : Tue Aug 30 14:43:10 EDT 2022
% 0.10/0.32 % CPUTime :
% 0.14/0.48 % (17034)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)
% 0.14/0.48 % (17033)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)
% 0.14/0.48 % (17045)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)
% 0.14/0.48 % (17035)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)
% 0.14/0.48 % (17042)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)
% 0.14/0.49 % (17035)First to succeed.
% 0.14/0.49 % (17037)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)
% 0.14/0.49 % (17043)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.14/0.49 % (17050)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)
% 0.14/0.49 % (17051)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.14/0.49 % (17049)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)
% 0.14/0.49 % (17045)Instruction limit reached!
% 0.14/0.49 % (17045)------------------------------
% 0.14/0.49 % (17045)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.49 % (17045)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.49 % (17045)Termination reason: Unknown
% 0.14/0.49 % (17045)Termination phase: Saturation
% 0.14/0.49
% 0.14/0.49 % (17045)Memory used [KB]: 5884
% 0.14/0.49 % (17045)Time elapsed: 0.005 s
% 0.14/0.49 % (17045)Instructions burned: 2 (million)
% 0.14/0.49 % (17045)------------------------------
% 0.14/0.49 % (17045)------------------------------
% 0.14/0.49 % (17053)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)
% 0.14/0.49 % (17041)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)
% 0.14/0.50 % (17035)Refutation found. Thanks to Tanya!
% 0.14/0.50 % SZS status Theorem for theBenchmark
% 0.14/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.50 % (17035)------------------------------
% 0.14/0.50 % (17035)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.50 % (17035)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.50 % (17035)Termination reason: Refutation
% 0.14/0.50
% 0.14/0.50 % (17035)Memory used [KB]: 6012
% 0.14/0.50 % (17035)Time elapsed: 0.108 s
% 0.14/0.50 % (17035)Instructions burned: 7 (million)
% 0.14/0.50 % (17035)------------------------------
% 0.14/0.50 % (17035)------------------------------
% 0.14/0.50 % (17026)Success in time 0.169 s
%------------------------------------------------------------------------------