TSTP Solution File: SEU188+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SEU188+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_sat --cores 0 -t %d %s
% Computer : n016.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 18:32:24 EDT 2022
% Result : Theorem 0.20s 0.57s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 11
% Syntax : Number of formulae : 56 ( 14 unt; 0 def)
% Number of atoms : 130 ( 43 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 126 ( 52 ~; 46 |; 16 &)
% ( 2 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 3 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-1 aty)
% Number of variables : 22 ( 15 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f241,plain,
$false,
inference(avatar_sat_refutation,[],[f149,f222,f238]) ).
fof(f238,plain,
~ spl14_1,
inference(avatar_contradiction_clause,[],[f237]) ).
fof(f237,plain,
( $false
| ~ spl14_1 ),
inference(subsumption_resolution,[],[f235,f164]) ).
fof(f164,plain,
sK7 != sK10,
inference(backward_demodulation,[],[f160,f163]) ).
fof(f163,plain,
sK0 = sK7,
inference(backward_demodulation,[],[f153,f155]) ).
fof(f155,plain,
empty_set = sK7,
inference(resolution,[],[f89,f101]) ).
fof(f101,plain,
empty(sK7),
inference(cnf_transformation,[],[f70]) ).
fof(f70,plain,
( relation(sK7)
& empty(sK7) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7])],[f24,f69]) ).
fof(f69,plain,
( ? [X0] :
( relation(X0)
& empty(X0) )
=> ( relation(sK7)
& empty(sK7) ) ),
introduced(choice_axiom,[]) ).
fof(f24,axiom,
? [X0] :
( relation(X0)
& empty(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc1_relat_1) ).
fof(f89,plain,
! [X0] :
( ~ empty(X0)
| empty_set = X0 ),
inference(cnf_transformation,[],[f42]) ).
fof(f42,plain,
! [X0] :
( ~ empty(X0)
| empty_set = X0 ),
inference(ennf_transformation,[],[f33]) ).
fof(f33,axiom,
! [X0] :
( empty(X0)
=> empty_set = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t6_boole) ).
fof(f153,plain,
empty_set = sK0,
inference(resolution,[],[f89,f87]) ).
fof(f87,plain,
empty(sK0),
inference(cnf_transformation,[],[f58]) ).
fof(f58,plain,
empty(sK0),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f25,f57]) ).
fof(f57,plain,
( ? [X0] : empty(X0)
=> empty(sK0) ),
introduced(choice_axiom,[]) ).
fof(f25,axiom,
? [X0] : empty(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc1_xboole_0) ).
fof(f160,plain,
sK0 != sK10,
inference(backward_demodulation,[],[f118,f153]) ).
fof(f118,plain,
empty_set != sK10,
inference(cnf_transformation,[],[f80]) ).
fof(f80,plain,
( ( empty_set = relation_rng(sK10)
| empty_set = relation_dom(sK10) )
& relation(sK10)
& empty_set != sK10 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10])],[f49,f79]) ).
fof(f79,plain,
( ? [X0] :
( ( relation_rng(X0) = empty_set
| relation_dom(X0) = empty_set )
& relation(X0)
& empty_set != X0 )
=> ( ( empty_set = relation_rng(sK10)
| empty_set = relation_dom(sK10) )
& relation(sK10)
& empty_set != sK10 ) ),
introduced(choice_axiom,[]) ).
fof(f49,plain,
? [X0] :
( ( relation_rng(X0) = empty_set
| relation_dom(X0) = empty_set )
& relation(X0)
& empty_set != X0 ),
inference(flattening,[],[f48]) ).
fof(f48,plain,
? [X0] :
( empty_set != X0
& ( relation_rng(X0) = empty_set
| relation_dom(X0) = empty_set )
& relation(X0) ),
inference(ennf_transformation,[],[f32]) ).
fof(f32,negated_conjecture,
~ ! [X0] :
( relation(X0)
=> ( ( relation_rng(X0) = empty_set
| relation_dom(X0) = empty_set )
=> empty_set = X0 ) ),
inference(negated_conjecture,[],[f31]) ).
fof(f31,conjecture,
! [X0] :
( relation(X0)
=> ( ( relation_rng(X0) = empty_set
| relation_dom(X0) = empty_set )
=> empty_set = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t64_relat_1) ).
fof(f235,plain,
( sK7 = sK10
| ~ spl14_1 ),
inference(resolution,[],[f231,f171]) ).
fof(f171,plain,
! [X0] :
( ~ empty(X0)
| sK7 = X0 ),
inference(forward_demodulation,[],[f158,f163]) ).
fof(f158,plain,
! [X0] :
( sK0 = X0
| ~ empty(X0) ),
inference(backward_demodulation,[],[f89,f153]) ).
fof(f231,plain,
( empty(sK10)
| ~ spl14_1 ),
inference(subsumption_resolution,[],[f230,f101]) ).
fof(f230,plain,
( ~ empty(sK7)
| empty(sK10)
| ~ spl14_1 ),
inference(subsumption_resolution,[],[f229,f119]) ).
fof(f119,plain,
relation(sK10),
inference(cnf_transformation,[],[f80]) ).
fof(f229,plain,
( ~ relation(sK10)
| ~ empty(sK7)
| empty(sK10)
| ~ spl14_1 ),
inference(superposition,[],[f113,f223]) ).
fof(f223,plain,
( relation_dom(sK10) = sK7
| ~ spl14_1 ),
inference(forward_demodulation,[],[f144,f155]) ).
fof(f144,plain,
( empty_set = relation_dom(sK10)
| ~ spl14_1 ),
inference(avatar_component_clause,[],[f142]) ).
fof(f142,plain,
( spl14_1
<=> empty_set = relation_dom(sK10) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1])]) ).
fof(f113,plain,
! [X0] :
( ~ empty(relation_dom(X0))
| ~ relation(X0)
| empty(X0) ),
inference(cnf_transformation,[],[f56]) ).
fof(f56,plain,
! [X0] :
( empty(X0)
| ~ empty(relation_dom(X0))
| ~ relation(X0) ),
inference(flattening,[],[f55]) ).
fof(f55,plain,
! [X0] :
( ~ empty(relation_dom(X0))
| empty(X0)
| ~ relation(X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,axiom,
! [X0] :
( ( ~ empty(X0)
& relation(X0) )
=> ~ empty(relation_dom(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc5_relat_1) ).
fof(f222,plain,
~ spl14_2,
inference(avatar_contradiction_clause,[],[f221]) ).
fof(f221,plain,
( $false
| ~ spl14_2 ),
inference(subsumption_resolution,[],[f219,f164]) ).
fof(f219,plain,
( sK7 = sK10
| ~ spl14_2 ),
inference(resolution,[],[f215,f171]) ).
fof(f215,plain,
( empty(sK10)
| ~ spl14_2 ),
inference(subsumption_resolution,[],[f214,f119]) ).
fof(f214,plain,
( empty(sK10)
| ~ relation(sK10)
| ~ spl14_2 ),
inference(subsumption_resolution,[],[f213,f101]) ).
fof(f213,plain,
( ~ empty(sK7)
| empty(sK10)
| ~ relation(sK10)
| ~ spl14_2 ),
inference(superposition,[],[f108,f167]) ).
fof(f167,plain,
( sK7 = relation_rng(sK10)
| ~ spl14_2 ),
inference(forward_demodulation,[],[f159,f163]) ).
fof(f159,plain,
( sK0 = relation_rng(sK10)
| ~ spl14_2 ),
inference(backward_demodulation,[],[f148,f153]) ).
fof(f148,plain,
( empty_set = relation_rng(sK10)
| ~ spl14_2 ),
inference(avatar_component_clause,[],[f146]) ).
fof(f146,plain,
( spl14_2
<=> empty_set = relation_rng(sK10) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_2])]) ).
fof(f108,plain,
! [X0] :
( ~ empty(relation_rng(X0))
| empty(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f53]) ).
fof(f53,plain,
! [X0] :
( empty(X0)
| ~ empty(relation_rng(X0))
| ~ relation(X0) ),
inference(flattening,[],[f52]) ).
fof(f52,plain,
! [X0] :
( ~ empty(relation_rng(X0))
| empty(X0)
| ~ relation(X0) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,axiom,
! [X0] :
( ( ~ empty(X0)
& relation(X0) )
=> ~ empty(relation_rng(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc6_relat_1) ).
fof(f149,plain,
( spl14_1
| spl14_2 ),
inference(avatar_split_clause,[],[f120,f146,f142]) ).
fof(f120,plain,
( empty_set = relation_rng(sK10)
| empty_set = relation_dom(sK10) ),
inference(cnf_transformation,[],[f80]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SEU188+1 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.13 % 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 : n016.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 15:10:16 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.55 % (29847)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)
% 0.20/0.55 % (29831)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)
% 0.20/0.55 % (29848)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 (2999ds/467Mi)
% 0.20/0.56 % (29849)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.56 % (29832)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.56 TRYING [1]
% 0.20/0.56 % (29832)First to succeed.
% 0.20/0.56 % (29841)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 (2999ds/99Mi)
% 0.20/0.56 % (29833)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.56 % (29839)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)
% 0.20/0.56 % (29833)Instruction limit reached!
% 0.20/0.56 % (29833)------------------------------
% 0.20/0.56 % (29833)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56 % (29833)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56 % (29833)Termination reason: Unknown
% 0.20/0.56 % (29833)Termination phase: Blocked clause elimination
% 0.20/0.56
% 0.20/0.56 % (29833)Memory used [KB]: 895
% 0.20/0.56 % (29833)Time elapsed: 0.005 s
% 0.20/0.56 % (29833)Instructions burned: 3 (million)
% 0.20/0.56 % (29833)------------------------------
% 0.20/0.56 % (29833)------------------------------
% 0.20/0.56 % (29840)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 (2999ds/75Mi)
% 0.20/0.57 TRYING [2]
% 0.20/0.57 TRYING [3]
% 0.20/0.57 % (29832)Refutation found. Thanks to Tanya!
% 0.20/0.57 % SZS status Theorem for theBenchmark
% 0.20/0.57 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.58 % (29832)------------------------------
% 0.20/0.58 % (29832)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.58 % (29832)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.58 % (29832)Termination reason: Refutation
% 0.20/0.58
% 0.20/0.58 % (29832)Memory used [KB]: 5500
% 0.20/0.58 % (29832)Time elapsed: 0.128 s
% 0.20/0.58 % (29832)Instructions burned: 6 (million)
% 0.20/0.58 % (29832)------------------------------
% 0.20/0.58 % (29832)------------------------------
% 0.20/0.58 % (29824)Success in time 0.219 s
%------------------------------------------------------------------------------