TSTP Solution File: SET011-1 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SET011-1 : TPTP v8.1.0. Released v1.0.0.
% 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 : n002.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 18:23:03 EDT 2022
% Result : Unsatisfiable 1.31s 0.71s
% Output : Refutation 1.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 14
% Syntax : Number of formulae : 43 ( 5 unt; 0 def)
% Number of atoms : 100 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 103 ( 46 ~; 52 |; 0 &)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 6 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-3 aty)
% Number of variables : 26 ( 26 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f84,plain,
$false,
inference(avatar_sat_refutation,[],[f42,f51,f62,f69,f70,f76,f77,f78,f83]) ).
fof(f83,plain,
~ spl0_4,
inference(avatar_contradiction_clause,[],[f79]) ).
fof(f79,plain,
( $false
| ~ spl0_4 ),
inference(resolution,[],[f61,f21]) ).
fof(f21,axiom,
~ intersection(a,b,aD_aDb),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_a_intersection_b_is_aD_aDb) ).
fof(f61,plain,
( intersection(a,b,aD_aDb)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f59]) ).
fof(f59,plain,
( spl0_4
<=> intersection(a,b,aD_aDb) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f78,plain,
( spl0_5
| spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f71,f39,f35,f66]) ).
fof(f66,plain,
( spl0_5
<=> member(h(a,b,aD_aDb),aDb) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f35,plain,
( spl0_1
<=> member(h(a,b,aD_aDb),aD_aDb) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f39,plain,
( spl0_2
<=> member(h(a,b,aD_aDb),a) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f71,plain,
( member(h(a,b,aD_aDb),aD_aDb)
| member(h(a,b,aD_aDb),aDb)
| ~ spl0_2 ),
inference(resolution,[],[f41,f29]) ).
fof(f29,plain,
! [X1] :
( ~ member(X1,a)
| member(X1,aDb)
| member(X1,aD_aDb) ),
inference(resolution,[],[f15,f20]) ).
fof(f20,axiom,
difference(a,aDb,aD_aDb),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_minus_aDb) ).
fof(f15,axiom,
! [X3,X0,X6,X4] :
( ~ difference(X3,X4,X6)
| member(X0,X6)
| member(X0,X4)
| ~ member(X0,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',member_of_difference_or_set2) ).
fof(f41,plain,
( member(h(a,b,aD_aDb),a)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f39]) ).
fof(f77,plain,
( ~ spl0_3
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f74,f66,f48]) ).
fof(f48,plain,
( spl0_3
<=> member(h(a,b,aD_aDb),b) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f74,plain,
( ~ member(h(a,b,aD_aDb),b)
| ~ spl0_5 ),
inference(resolution,[],[f68,f24]) ).
fof(f24,plain,
! [X0] :
( ~ member(X0,aDb)
| ~ member(X0,b) ),
inference(resolution,[],[f14,f19]) ).
fof(f19,axiom,
difference(a,b,aDb),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_minus_b) ).
fof(f14,axiom,
! [X3,X0,X7,X4] :
( ~ difference(X7,X3,X4)
| ~ member(X0,X4)
| ~ member(X0,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_member_of_difference) ).
fof(f68,plain,
( member(h(a,b,aD_aDb),aDb)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f66]) ).
fof(f76,plain,
( ~ spl0_1
| ~ spl0_5 ),
inference(avatar_contradiction_clause,[],[f73]) ).
fof(f73,plain,
( $false
| ~ spl0_1
| ~ spl0_5 ),
inference(resolution,[],[f68,f52]) ).
fof(f52,plain,
( ~ member(h(a,b,aD_aDb),aDb)
| ~ spl0_1 ),
inference(resolution,[],[f37,f25]) ).
fof(f25,plain,
! [X1] :
( ~ member(X1,aD_aDb)
| ~ member(X1,aDb) ),
inference(resolution,[],[f14,f20]) ).
fof(f37,plain,
( member(h(a,b,aD_aDb),aD_aDb)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f35]) ).
fof(f70,plain,
( spl0_2
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f53,f35,f39]) ).
fof(f53,plain,
( member(h(a,b,aD_aDb),a)
| ~ spl0_1 ),
inference(resolution,[],[f37,f23]) ).
fof(f23,plain,
! [X1] :
( ~ member(X1,aD_aDb)
| member(X1,a) ),
inference(resolution,[],[f13,f20]) ).
fof(f13,axiom,
! [X3,X0,X6,X4] :
( ~ difference(X3,X4,X6)
| ~ member(X0,X6)
| member(X0,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',member_of_difference) ).
fof(f69,plain,
( spl0_5
| spl0_3
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f64,f39,f48,f66]) ).
fof(f64,plain,
( member(h(a,b,aD_aDb),b)
| member(h(a,b,aD_aDb),aDb)
| ~ spl0_2 ),
inference(resolution,[],[f41,f28]) ).
fof(f28,plain,
! [X0] :
( ~ member(X0,a)
| member(X0,b)
| member(X0,aDb) ),
inference(resolution,[],[f15,f19]) ).
fof(f62,plain,
( ~ spl0_3
| ~ spl0_2
| spl0_4
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f57,f35,f59,f39,f48]) ).
fof(f57,plain,
( intersection(a,b,aD_aDb)
| ~ member(h(a,b,aD_aDb),a)
| ~ member(h(a,b,aD_aDb),b)
| ~ spl0_1 ),
inference(resolution,[],[f12,f37]) ).
fof(f12,axiom,
! [X3,X4,X5] :
( ~ member(h(X3,X4,X5),X5)
| ~ member(h(X3,X4,X5),X4)
| intersection(X3,X4,X5)
| ~ member(h(X3,X4,X5),X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection_axiom3) ).
fof(f51,plain,
( spl0_3
| spl0_1 ),
inference(avatar_split_clause,[],[f43,f35,f48]) ).
fof(f43,plain,
( member(h(a,b,aD_aDb),aD_aDb)
| member(h(a,b,aD_aDb),b) ),
inference(resolution,[],[f11,f21]) ).
fof(f11,axiom,
! [X3,X4,X5] :
( intersection(X3,X4,X5)
| member(h(X3,X4,X5),X5)
| member(h(X3,X4,X5),X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection_axiom2) ).
fof(f42,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f30,f39,f35]) ).
fof(f30,plain,
( member(h(a,b,aD_aDb),a)
| member(h(a,b,aD_aDb),aD_aDb) ),
inference(resolution,[],[f10,f21]) ).
fof(f10,axiom,
! [X3,X4,X5] :
( intersection(X3,X4,X5)
| member(h(X3,X4,X5),X5)
| member(h(X3,X4,X5),X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection_axiom1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SET011-1 : TPTP v8.1.0. Released v1.0.0.
% 0.12/0.13 % 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 : n002.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 13:03:44 EDT 2022
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% 0.99/0.65 % (15980)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/101Mi)
% 0.99/0.66 % (15991)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 (2998ds/498Mi)
% 1.31/0.67 % (15972)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/51Mi)
% 1.31/0.67 % (15971)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/51Mi)
% 1.31/0.67 % (15979)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/100Mi)
% 1.31/0.68 % (15993)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/482Mi)
% 1.31/0.68 % (15976)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/2Mi)
% 1.31/0.68 % (15994)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/500Mi)
% 1.31/0.68 % (15976)Instruction limit reached!
% 1.31/0.68 % (15976)------------------------------
% 1.31/0.68 % (15976)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.31/0.68 % (15976)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.31/0.68 % (15976)Termination reason: Unknown
% 1.31/0.68 % (15976)Termination phase: Saturation
% 1.31/0.68
% 1.31/0.68 % (15976)Memory used [KB]: 895
% 1.31/0.68 % (15976)Time elapsed: 0.002 s
% 1.31/0.68 % (15976)Instructions burned: 3 (million)
% 1.31/0.68 % (15976)------------------------------
% 1.31/0.68 % (15976)------------------------------
% 1.31/0.68 % (15983)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 (2998ds/75Mi)
% 1.31/0.69 % (15975)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/7Mi)
% 1.31/0.69 % (15968)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 (2998ds/191324Mi)
% 1.31/0.69 % (15984)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 (2998ds/99Mi)
% 1.31/0.69 % (15973)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 (2998ds/48Mi)
% 1.31/0.69 TRYING [1]
% 1.31/0.69 TRYING [2]
% 1.31/0.70 % (15970)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 (2998ds/37Mi)
% 1.31/0.70 % (15974)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/51Mi)
% 1.31/0.70 TRYING [1]
% 1.31/0.70 % (15969)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/50Mi)
% 1.31/0.70 TRYING [2]
% 1.31/0.70 % (15969)Refutation not found, incomplete strategy% (15969)------------------------------
% 1.31/0.70 % (15969)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.31/0.70 % (15969)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.31/0.70 % (15969)Termination reason: Refutation not found, incomplete strategy
% 1.31/0.70
% 1.31/0.70 % (15969)Memory used [KB]: 5373
% 1.31/0.70 % (15969)Time elapsed: 0.130 s
% 1.31/0.70 % (15969)Instructions burned: 1 (million)
% 1.31/0.70 % (15969)------------------------------
% 1.31/0.70 % (15969)------------------------------
% 1.31/0.70 TRYING [3]
% 1.31/0.70 % (15977)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 (2998ds/51Mi)
% 1.31/0.70 % (15978)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/50Mi)
% 1.31/0.70 % (15985)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/59Mi)
% 1.31/0.70 % (15975)Instruction limit reached!
% 1.31/0.70 % (15975)------------------------------
% 1.31/0.70 % (15975)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.31/0.70 % (15975)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.31/0.70 % (15975)Termination reason: Unknown
% 1.31/0.70 % (15975)Termination phase: Saturation
% 1.31/0.70
% 1.31/0.70 % (15975)Memory used [KB]: 5500
% 1.31/0.70 % (15975)Time elapsed: 0.101 s
% 1.31/0.70 % (15975)Instructions burned: 8 (million)
% 1.31/0.70 % (15975)------------------------------
% 1.31/0.70 % (15975)------------------------------
% 1.31/0.70 % (15992)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 (2998ds/467Mi)
% 1.31/0.70 % (15988)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 (2998ds/100Mi)
% 1.31/0.70 % (15986)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/100Mi)
% 1.31/0.71 % (15997)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/439Mi)
% 1.31/0.71 % (15998)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 (2998ds/355Mi)
% 1.31/0.71 TRYING [1]
% 1.31/0.71 TRYING [2]
% 1.31/0.71 TRYING [3]
% 1.31/0.71 % (15998)First to succeed.
% 1.31/0.71 % (15998)Refutation found. Thanks to Tanya!
% 1.31/0.71 % SZS status Unsatisfiable for theBenchmark
% 1.31/0.71 % SZS output start Proof for theBenchmark
% See solution above
% 1.31/0.71 % (15998)------------------------------
% 1.31/0.71 % (15998)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.31/0.71 % (15998)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.31/0.71 % (15998)Termination reason: Refutation
% 1.31/0.71
% 1.31/0.71 % (15998)Memory used [KB]: 5500
% 1.31/0.71 % (15998)Time elapsed: 0.145 s
% 1.31/0.71 % (15998)Instructions burned: 3 (million)
% 1.31/0.71 % (15998)------------------------------
% 1.31/0.71 % (15998)------------------------------
% 1.31/0.71 % (15745)Success in time 0.351 s
%------------------------------------------------------------------------------