TSTP Solution File: SEU158+2 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SEU158+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_sat --cores 0 -t %d %s
% Computer : n025.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 18:32:13 EDT 2022
% Result : Theorem 0.19s 0.56s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 7
% Syntax : Number of formulae : 32 ( 6 unt; 3 typ; 0 def)
% Number of atoms : 66 ( 2 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 64 ( 27 ~; 25 |; 6 &)
% ( 4 <=>; 1 =>; 0 <=; 1 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 4 ( 0 usr; 3 ari)
% Number of type conns : 6 ( 3 >; 3 *; 0 +; 0 <<)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 32 ( 24 !; 8 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(pred_def_7,type,
sQ24_eqProxy: ( $int * $int ) > $o ).
tff(pred_def_8,type,
sQ25_eqProxy: ( $rat * $rat ) > $o ).
tff(pred_def_9,type,
sQ26_eqProxy: ( $real * $real ) > $o ).
fof(f871,plain,
$false,
inference(subsumption_resolution,[],[f869,f864]) ).
fof(f864,plain,
in(sK1,sK0),
inference(duplicate_literal_removal,[],[f863]) ).
fof(f863,plain,
( in(sK1,sK0)
| in(sK1,sK0) ),
inference(resolution,[],[f559,f512]) ).
fof(f512,plain,
( subset(unordered_pair(sK1,sK1),sK0)
| in(sK1,sK0) ),
inference(literal_reordering,[],[f420]) ).
fof(f420,plain,
( subset(unordered_pair(sK1,sK1),sK0)
| in(sK1,sK0) ),
inference(definition_unfolding,[],[f283,f297]) ).
fof(f297,plain,
! [X0] : singleton(X0) = unordered_pair(X0,X0),
inference(cnf_transformation,[],[f80]) ).
fof(f80,axiom,
! [X0] : singleton(X0) = unordered_pair(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t69_enumset1) ).
fof(f283,plain,
( in(sK1,sK0)
| subset(singleton(sK1),sK0) ),
inference(cnf_transformation,[],[f180]) ).
fof(f180,plain,
( ( ~ in(sK1,sK0)
| ~ subset(singleton(sK1),sK0) )
& ( in(sK1,sK0)
| subset(singleton(sK1),sK0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f178,f179]) ).
fof(f179,plain,
( ? [X0,X1] :
( ( ~ in(X1,X0)
| ~ subset(singleton(X1),X0) )
& ( in(X1,X0)
| subset(singleton(X1),X0) ) )
=> ( ( ~ in(sK1,sK0)
| ~ subset(singleton(sK1),sK0) )
& ( in(sK1,sK0)
| subset(singleton(sK1),sK0) ) ) ),
introduced(choice_axiom,[]) ).
fof(f178,plain,
? [X0,X1] :
( ( ~ in(X1,X0)
| ~ subset(singleton(X1),X0) )
& ( in(X1,X0)
| subset(singleton(X1),X0) ) ),
inference(rectify,[],[f177]) ).
fof(f177,plain,
? [X1,X0] :
( ( ~ in(X0,X1)
| ~ subset(singleton(X0),X1) )
& ( in(X0,X1)
| subset(singleton(X0),X1) ) ),
inference(nnf_transformation,[],[f153]) ).
fof(f153,plain,
? [X1,X0] :
( subset(singleton(X0),X1)
<~> in(X0,X1) ),
inference(ennf_transformation,[],[f68]) ).
fof(f68,negated_conjecture,
~ ! [X0,X1] :
( subset(singleton(X0),X1)
<=> in(X0,X1) ),
inference(negated_conjecture,[],[f67]) ).
fof(f67,conjecture,
! [X0,X1] :
( subset(singleton(X0),X1)
<=> in(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t37_zfmisc_1) ).
fof(f559,plain,
! [X0,X1] :
( ~ subset(unordered_pair(X1,X1),X0)
| in(X1,X0) ),
inference(literal_reordering,[],[f446]) ).
fof(f446,plain,
! [X0,X1] :
( in(X1,X0)
| ~ subset(unordered_pair(X1,X1),X0) ),
inference(definition_unfolding,[],[f352,f297]) ).
fof(f352,plain,
! [X0,X1] :
( in(X1,X0)
| ~ subset(singleton(X1),X0) ),
inference(cnf_transformation,[],[f225]) ).
fof(f225,plain,
! [X0,X1] :
( ( in(X1,X0)
| ~ subset(singleton(X1),X0) )
& ( subset(singleton(X1),X0)
| ~ in(X1,X0) ) ),
inference(nnf_transformation,[],[f116]) ).
fof(f116,plain,
! [X0,X1] :
( in(X1,X0)
<=> subset(singleton(X1),X0) ),
inference(rectify,[],[f41]) ).
fof(f41,axiom,
! [X1,X0] :
( in(X0,X1)
<=> subset(singleton(X0),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l2_zfmisc_1) ).
fof(f869,plain,
~ in(sK1,sK0),
inference(resolution,[],[f865,f532]) ).
fof(f532,plain,
! [X0,X1] :
( subset(unordered_pair(X1,X1),X0)
| ~ in(X1,X0) ),
inference(literal_reordering,[],[f447]) ).
fof(f447,plain,
! [X0,X1] :
( ~ in(X1,X0)
| subset(unordered_pair(X1,X1),X0) ),
inference(definition_unfolding,[],[f351,f297]) ).
fof(f351,plain,
! [X0,X1] :
( subset(singleton(X1),X0)
| ~ in(X1,X0) ),
inference(cnf_transformation,[],[f225]) ).
fof(f865,plain,
~ subset(unordered_pair(sK1,sK1),sK0),
inference(subsumption_resolution,[],[f580,f864]) ).
fof(f580,plain,
( ~ in(sK1,sK0)
| ~ subset(unordered_pair(sK1,sK1),sK0) ),
inference(literal_reordering,[],[f419]) ).
fof(f419,plain,
( ~ in(sK1,sK0)
| ~ subset(unordered_pair(sK1,sK1),sK0) ),
inference(definition_unfolding,[],[f284,f297]) ).
fof(f284,plain,
( ~ in(sK1,sK0)
| ~ subset(singleton(sK1),sK0) ),
inference(cnf_transformation,[],[f180]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU158+2 : TPTP v8.1.0. Released v3.3.0.
% 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
% 0.12/0.34 % Computer : n025.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 30 14:51:44 EDT 2022
% 0.19/0.34 % CPUTime :
% 0.19/0.42 % (30842)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 (2999ds/191324Mi)
% 0.19/0.43 TRYING [1]
% 0.19/0.43 TRYING [2]
% 0.19/0.44 TRYING [3]
% 0.19/0.49 TRYING [4]
% 0.19/0.51 % (30854)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.52 % (30843)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.52 % (30870)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.19/0.52 % (30844)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 (2999ds/37Mi)
% 0.19/0.52 % (30864)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)
% 0.19/0.52 % (30866)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.19/0.53 % (30871)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 (2999ds/355Mi)
% 0.19/0.53 % (30868)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)
% 0.19/0.53 % (30862)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 (2999ds/176Mi)
% 0.19/0.53 % (30847)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 (2999ds/48Mi)
% 0.19/0.53 % (30856)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)
% 0.19/0.53 % (30845)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.53 % (30867)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.19/0.53 % (30858)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)
% 0.19/0.53 % (30857)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)
% 0.19/0.53 % (30848)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)
% 0.19/0.53 % (30850)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.54 % (30850)Instruction limit reached!
% 0.19/0.54 % (30850)------------------------------
% 0.19/0.54 % (30850)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (30850)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (30850)Termination reason: Unknown
% 0.19/0.54 % (30850)Termination phase: Preprocessing 1
% 0.19/0.54
% 0.19/0.54 % (30850)Memory used [KB]: 895
% 0.19/0.54 % (30850)Time elapsed: 0.002 s
% 0.19/0.54 % (30850)Instructions burned: 2 (million)
% 0.19/0.54 % (30850)------------------------------
% 0.19/0.54 % (30850)------------------------------
% 0.19/0.54 % (30859)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.19/0.54 % (30863)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.19/0.54 % (30860)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.54 % (30856)First to succeed.
% 0.19/0.54 % (30851)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 (2999ds/51Mi)
% 0.19/0.54 % (30855)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.54 % (30852)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.56 TRYING [1]
% 0.19/0.56 TRYING [2]
% 0.19/0.56 % (30856)Refutation found. Thanks to Tanya!
% 0.19/0.56 % SZS status Theorem for theBenchmark
% 0.19/0.56 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.56 % (30856)------------------------------
% 0.19/0.56 % (30856)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.56 % (30856)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.56 % (30856)Termination reason: Refutation
% 0.19/0.56
% 0.19/0.56 % (30856)Memory used [KB]: 6268
% 0.19/0.56 % (30856)Time elapsed: 0.014 s
% 0.19/0.56 % (30856)Instructions burned: 14 (million)
% 0.19/0.56 % (30856)------------------------------
% 0.19/0.56 % (30856)------------------------------
% 0.19/0.56 % (30841)Success in time 0.207 s
%------------------------------------------------------------------------------