TSTP Solution File: SET624+3 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SET624+3 : TPTP v8.1.0. Released v2.2.0.
% 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 18:25:08 EDT 2022
% Result : Theorem 1.60s 0.57s
% Output : Refutation 1.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 8
% Syntax : Number of formulae : 59 ( 2 unt; 0 def)
% Number of atoms : 143 ( 1 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 140 ( 56 ~; 69 |; 2 &)
% ( 10 <=>; 2 =>; 0 <=; 1 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 4 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 68 ( 63 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f307,plain,
$false,
inference(avatar_sat_refutation,[],[f44,f49,f50,f147,f155,f306]) ).
fof(f306,plain,
( spl6_2
| spl6_3
| ~ spl6_1 ),
inference(avatar_split_clause,[],[f302,f37,f46,f41]) ).
fof(f41,plain,
( spl6_2
<=> intersect(sK0,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_2])]) ).
fof(f46,plain,
( spl6_3
<=> intersect(sK0,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_3])]) ).
fof(f37,plain,
( spl6_1
<=> intersect(sK0,sF5) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1])]) ).
fof(f302,plain,
( intersect(sK0,sK1)
| intersect(sK0,sK2)
| ~ spl6_1 ),
inference(resolution,[],[f300,f38]) ).
fof(f38,plain,
( intersect(sK0,sF5)
| ~ spl6_1 ),
inference(avatar_component_clause,[],[f37]) ).
fof(f300,plain,
! [X0] :
( ~ intersect(X0,sF5)
| intersect(X0,sK2)
| intersect(X0,sK1) ),
inference(duplicate_literal_removal,[],[f290]) ).
fof(f290,plain,
! [X0] :
( ~ intersect(X0,sF5)
| intersect(X0,sK1)
| intersect(X0,sK2)
| ~ intersect(X0,sF5) ),
inference(resolution,[],[f289,f66]) ).
fof(f66,plain,
! [X11,X12,X13] :
( ~ member(sK3(X13,X11),X12)
| intersect(X11,X12)
| ~ intersect(X11,X13) ),
inference(resolution,[],[f22,f24]) ).
fof(f24,plain,
! [X0,X1] :
( member(sK3(X0,X1),X1)
| ~ intersect(X1,X0) ),
inference(cnf_transformation,[],[f8]) ).
fof(f8,plain,
! [X0,X1] :
( ? [X2] :
( member(X2,X1)
& member(X2,X0) )
<=> intersect(X1,X0) ),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X1,X0] :
( ? [X2] :
( member(X2,X1)
& member(X2,X0) )
<=> intersect(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersect_defn) ).
fof(f22,plain,
! [X2,X0,X1] :
( ~ member(X2,X1)
| intersect(X1,X0)
| ~ member(X2,X0) ),
inference(cnf_transformation,[],[f8]) ).
fof(f289,plain,
! [X0] :
( member(sK3(sF5,X0),sK1)
| ~ intersect(X0,sF5)
| intersect(X0,sK2) ),
inference(duplicate_literal_removal,[],[f278]) ).
fof(f278,plain,
! [X0] :
( ~ intersect(X0,sF5)
| member(sK3(sF5,X0),sK1)
| ~ intersect(X0,sF5)
| intersect(X0,sK2) ),
inference(resolution,[],[f78,f66]) ).
fof(f78,plain,
! [X0] :
( member(sK3(sF5,X0),sK2)
| member(sK3(sF5,X0),sK1)
| ~ intersect(X0,sF5) ),
inference(resolution,[],[f75,f23]) ).
fof(f23,plain,
! [X0,X1] :
( member(sK3(X0,X1),X0)
| ~ intersect(X1,X0) ),
inference(cnf_transformation,[],[f8]) ).
fof(f75,plain,
! [X0] :
( ~ member(X0,sF5)
| member(X0,sK1)
| member(X0,sK2) ),
inference(superposition,[],[f19,f32]) ).
fof(f32,plain,
sF5 = union(sK1,sK2),
introduced(function_definition,[]) ).
fof(f19,plain,
! [X2,X0,X1] :
( ~ member(X1,union(X2,X0))
| member(X1,X2)
| member(X1,X0) ),
inference(cnf_transformation,[],[f9]) ).
fof(f9,plain,
! [X2,X1,X0] :
( member(X1,union(X2,X0))
<=> ( member(X1,X2)
| member(X1,X0) ) ),
inference(rectify,[],[f1]) ).
fof(f1,axiom,
! [X1,X2,X0] :
( ( member(X2,X1)
| member(X2,X0) )
<=> member(X2,union(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',union_defn) ).
fof(f155,plain,
( spl6_1
| ~ spl6_3 ),
inference(avatar_split_clause,[],[f152,f46,f37]) ).
fof(f152,plain,
( intersect(sK0,sF5)
| ~ spl6_3 ),
inference(resolution,[],[f150,f110]) ).
fof(f110,plain,
! [X5] :
( ~ intersect(sK1,X5)
| intersect(X5,sF5) ),
inference(duplicate_literal_removal,[],[f103]) ).
fof(f103,plain,
! [X5] :
( ~ intersect(sK1,X5)
| intersect(X5,sF5)
| ~ intersect(sK1,X5) ),
inference(resolution,[],[f65,f62]) ).
fof(f62,plain,
! [X1] :
( member(sK3(X1,sK1),sF5)
| ~ intersect(sK1,X1) ),
inference(resolution,[],[f24,f56]) ).
fof(f56,plain,
! [X0] :
( ~ member(X0,sK1)
| member(X0,sF5) ),
inference(superposition,[],[f21,f32]) ).
fof(f21,plain,
! [X2,X0,X1] :
( member(X1,union(X2,X0))
| ~ member(X1,X2) ),
inference(cnf_transformation,[],[f9]) ).
fof(f65,plain,
! [X10,X8,X9] :
( ~ member(sK3(X8,X10),X9)
| intersect(X8,X9)
| ~ intersect(X10,X8) ),
inference(resolution,[],[f22,f23]) ).
fof(f150,plain,
( intersect(sK1,sK0)
| ~ spl6_3 ),
inference(resolution,[],[f47,f29]) ).
fof(f29,plain,
! [X0,X1] :
( ~ intersect(X1,X0)
| intersect(X0,X1) ),
inference(cnf_transformation,[],[f14]) ).
fof(f14,plain,
! [X0,X1] :
( intersect(X0,X1)
| ~ intersect(X1,X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,plain,
! [X1,X0] :
( intersect(X1,X0)
=> intersect(X0,X1) ),
inference(rectify,[],[f4]) ).
fof(f4,axiom,
! [X1,X0] :
( intersect(X0,X1)
=> intersect(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmetry_of_intersect) ).
fof(f47,plain,
( intersect(sK0,sK1)
| ~ spl6_3 ),
inference(avatar_component_clause,[],[f46]) ).
fof(f147,plain,
( spl6_1
| ~ spl6_2 ),
inference(avatar_split_clause,[],[f144,f41,f37]) ).
fof(f144,plain,
( intersect(sK0,sF5)
| ~ spl6_2 ),
inference(resolution,[],[f112,f51]) ).
fof(f51,plain,
( intersect(sK2,sK0)
| ~ spl6_2 ),
inference(resolution,[],[f29,f42]) ).
fof(f42,plain,
( intersect(sK0,sK2)
| ~ spl6_2 ),
inference(avatar_component_clause,[],[f41]) ).
fof(f112,plain,
! [X4] :
( ~ intersect(sK2,X4)
| intersect(X4,sF5) ),
inference(duplicate_literal_removal,[],[f102]) ).
fof(f102,plain,
! [X4] :
( ~ intersect(sK2,X4)
| intersect(X4,sF5)
| ~ intersect(sK2,X4) ),
inference(resolution,[],[f65,f61]) ).
fof(f61,plain,
! [X0] :
( member(sK3(X0,sK2),sF5)
| ~ intersect(sK2,X0) ),
inference(resolution,[],[f24,f53]) ).
fof(f53,plain,
! [X0] :
( ~ member(X0,sK2)
| member(X0,sF5) ),
inference(superposition,[],[f20,f32]) ).
fof(f20,plain,
! [X2,X0,X1] :
( member(X1,union(X2,X0))
| ~ member(X1,X0) ),
inference(cnf_transformation,[],[f9]) ).
fof(f50,plain,
( spl6_3
| spl6_1
| spl6_2 ),
inference(avatar_split_clause,[],[f33,f41,f37,f46]) ).
fof(f33,plain,
( intersect(sK0,sK2)
| intersect(sK0,sF5)
| intersect(sK0,sK1) ),
inference(definition_folding,[],[f17,f32]) ).
fof(f17,plain,
( intersect(sK0,union(sK1,sK2))
| intersect(sK0,sK2)
| intersect(sK0,sK1) ),
inference(cnf_transformation,[],[f13]) ).
fof(f13,plain,
? [X1,X2,X0] :
( ( intersect(X1,X2)
| intersect(X1,X0) )
<~> intersect(X1,union(X2,X0)) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,plain,
~ ! [X1,X2,X0] :
( ( intersect(X1,X2)
| intersect(X1,X0) )
<=> intersect(X1,union(X2,X0)) ),
inference(rectify,[],[f7]) ).
fof(f7,negated_conjecture,
~ ! [X2,X0,X1] :
( ( intersect(X0,X2)
| intersect(X0,X1) )
<=> intersect(X0,union(X1,X2)) ),
inference(negated_conjecture,[],[f6]) ).
fof(f6,conjecture,
! [X2,X0,X1] :
( ( intersect(X0,X2)
| intersect(X0,X1) )
<=> intersect(X0,union(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_intersect_with_union) ).
fof(f49,plain,
( ~ spl6_1
| ~ spl6_3 ),
inference(avatar_split_clause,[],[f34,f46,f37]) ).
fof(f34,plain,
( ~ intersect(sK0,sK1)
| ~ intersect(sK0,sF5) ),
inference(definition_folding,[],[f16,f32]) ).
fof(f16,plain,
( ~ intersect(sK0,union(sK1,sK2))
| ~ intersect(sK0,sK1) ),
inference(cnf_transformation,[],[f13]) ).
fof(f44,plain,
( ~ spl6_1
| ~ spl6_2 ),
inference(avatar_split_clause,[],[f35,f41,f37]) ).
fof(f35,plain,
( ~ intersect(sK0,sK2)
| ~ intersect(sK0,sF5) ),
inference(definition_folding,[],[f15,f32]) ).
fof(f15,plain,
( ~ intersect(sK0,union(sK1,sK2))
| ~ intersect(sK0,sK2) ),
inference(cnf_transformation,[],[f13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SET624+3 : TPTP v8.1.0. Released v2.2.0.
% 0.04/0.13 % 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 : n012.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 14:05:20 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.51 % (15892)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 (3000ds/68Mi)
% 0.19/0.52 % (15880)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 (3000ds/37Mi)
% 0.19/0.52 % (15884)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.19/0.52 % (15903)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/500Mi)
% 0.19/0.53 % (15888)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 0.19/0.53 % (15878)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 (3000ds/191324Mi)
% 0.19/0.53 TRYING [1]
% 0.19/0.54 % (15883)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 (3000ds/48Mi)
% 0.19/0.54 % (15900)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 (3000ds/498Mi)
% 0.19/0.54 TRYING [1]
% 0.19/0.54 TRYING [2]
% 0.19/0.54 TRYING [3]
% 0.19/0.54 TRYING [4]
% 0.19/0.54 % (15881)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.19/0.55 % (15898)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 (3000ds/176Mi)
% 0.19/0.55 % (15901)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 (3000ds/467Mi)
% 0.19/0.55 % (15893)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 (3000ds/75Mi)
% 0.19/0.55 % (15879)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 0.19/0.55 % (15882)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 1.60/0.55 % (15879)Refutation not found, incomplete strategy% (15879)------------------------------
% 1.60/0.55 % (15879)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.60/0.55 % (15879)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.60/0.55 % (15879)Termination reason: Refutation not found, incomplete strategy
% 1.60/0.55
% 1.60/0.55 % (15879)Memory used [KB]: 5373
% 1.60/0.55 % (15879)Time elapsed: 0.148 s
% 1.60/0.55 % (15879)Instructions burned: 2 (million)
% 1.60/0.55 % (15879)------------------------------
% 1.60/0.55 % (15879)------------------------------
% 1.60/0.55 % (15907)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 (3000ds/355Mi)
% 1.60/0.55 % (15899)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/138Mi)
% 1.60/0.56 TRYING [2]
% 1.60/0.56 TRYING [3]
% 1.60/0.56 % (15883)Instruction limit reached!
% 1.60/0.56 % (15883)------------------------------
% 1.60/0.56 % (15883)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.60/0.56 % (15883)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.60/0.56 % (15883)Termination reason: Unknown
% 1.60/0.56 % (15883)Termination phase: Saturation
% 1.60/0.56
% 1.60/0.56 % (15883)Memory used [KB]: 5884
% 1.60/0.56 % (15883)Time elapsed: 0.159 s
% 1.60/0.56 % (15883)Instructions burned: 48 (million)
% 1.60/0.56 % (15883)------------------------------
% 1.60/0.56 % (15883)------------------------------
% 1.60/0.56 TRYING [4]
% 1.60/0.56 % (15885)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/7Mi)
% 1.60/0.56 % (15891)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/99Mi)
% 1.60/0.56 % (15905)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 (3000ds/177Mi)
% 1.60/0.56 TRYING [5]
% 1.60/0.56 % (15885)Instruction limit reached!
% 1.60/0.56 % (15885)------------------------------
% 1.60/0.56 % (15885)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.60/0.56 % (15885)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.60/0.56 % (15885)Termination reason: Unknown
% 1.60/0.56 % (15885)Termination phase: Saturation
% 1.60/0.56
% 1.60/0.56 % (15885)Memory used [KB]: 5500
% 1.60/0.56 % (15885)Time elapsed: 0.116 s
% 1.60/0.56 % (15885)Instructions burned: 7 (million)
% 1.60/0.56 % (15885)------------------------------
% 1.60/0.56 % (15885)------------------------------
% 1.60/0.56 % (15889)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/100Mi)
% 1.60/0.56 % (15886)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 1.60/0.56 % (15886)Instruction limit reached!
% 1.60/0.56 % (15886)------------------------------
% 1.60/0.56 % (15886)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.60/0.56 % (15886)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.60/0.56 % (15886)Termination reason: Unknown
% 1.60/0.57 % (15886)Termination phase: Saturation
% 1.60/0.57
% 1.60/0.57 % (15886)Memory used [KB]: 5373
% 1.60/0.57 % (15886)Time elapsed: 0.182 s
% 1.60/0.57 % (15886)Instructions burned: 2 (million)
% 1.60/0.57 % (15886)------------------------------
% 1.60/0.57 % (15886)------------------------------
% 1.60/0.57 % (15895)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/59Mi)
% 1.60/0.57 % (15889)First to succeed.
% 1.60/0.57 TRYING [1]
% 1.60/0.57 TRYING [2]
% 1.60/0.57 TRYING [3]
% 1.60/0.57 % (15889)Refutation found. Thanks to Tanya!
% 1.60/0.57 % SZS status Theorem for theBenchmark
% 1.60/0.57 % SZS output start Proof for theBenchmark
% See solution above
% 1.60/0.57 % (15889)------------------------------
% 1.60/0.57 % (15889)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.60/0.57 % (15889)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.60/0.57 % (15889)Termination reason: Refutation
% 1.60/0.57
% 1.60/0.57 % (15889)Memory used [KB]: 5500
% 1.60/0.57 % (15889)Time elapsed: 0.160 s
% 1.60/0.57 % (15889)Instructions burned: 9 (million)
% 1.60/0.57 % (15889)------------------------------
% 1.60/0.57 % (15889)------------------------------
% 1.60/0.57 % (15877)Success in time 0.216 s
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