TSTP Solution File: SEU152+2 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SEU152+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 : n004.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 18:32:11 EDT 2022
% Result : Theorem 0.21s 0.57s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 8
% Syntax : Number of formulae : 33 ( 17 unt; 0 def)
% Number of atoms : 55 ( 24 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 40 ( 18 ~; 9 |; 6 &)
% ( 2 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 40 ( 36 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f724,plain,
$false,
inference(subsumption_resolution,[],[f723,f406]) ).
fof(f406,plain,
sF16 != sK9,
inference(definition_folding,[],[f366,f405,f404]) ).
fof(f404,plain,
unordered_pair(sK10,sK10) = sF15,
introduced(function_definition,[]) ).
fof(f405,plain,
sF16 = set_union2(sF15,sK9),
introduced(function_definition,[]) ).
fof(f366,plain,
sK9 != set_union2(unordered_pair(sK10,sK10),sK9),
inference(definition_unfolding,[],[f312,f293]) ).
fof(f293,plain,
! [X0] : singleton(X0) = unordered_pair(X0,X0),
inference(cnf_transformation,[],[f67]) ).
fof(f67,axiom,
! [X0] : singleton(X0) = unordered_pair(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t69_enumset1) ).
fof(f312,plain,
sK9 != set_union2(singleton(sK10),sK9),
inference(cnf_transformation,[],[f208]) ).
fof(f208,plain,
( sK9 != set_union2(singleton(sK10),sK9)
& in(sK10,sK9) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9,sK10])],[f148,f207]) ).
fof(f207,plain,
( ? [X0,X1] :
( set_union2(singleton(X1),X0) != X0
& in(X1,X0) )
=> ( sK9 != set_union2(singleton(sK10),sK9)
& in(sK10,sK9) ) ),
introduced(choice_axiom,[]) ).
fof(f148,plain,
? [X0,X1] :
( set_union2(singleton(X1),X0) != X0
& in(X1,X0) ),
inference(ennf_transformation,[],[f94]) ).
fof(f94,plain,
~ ! [X0,X1] :
( in(X1,X0)
=> set_union2(singleton(X1),X0) = X0 ),
inference(rectify,[],[f32]) ).
fof(f32,negated_conjecture,
~ ! [X1,X0] :
( in(X0,X1)
=> set_union2(singleton(X0),X1) = X1 ),
inference(negated_conjecture,[],[f31]) ).
fof(f31,conjecture,
! [X1,X0] :
( in(X0,X1)
=> set_union2(singleton(X0),X1) = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l23_zfmisc_1) ).
fof(f723,plain,
sF16 = sK9,
inference(backward_demodulation,[],[f405,f722]) ).
fof(f722,plain,
sK9 = set_union2(sF15,sK9),
inference(resolution,[],[f407,f678]) ).
fof(f678,plain,
subset(sF15,sK9),
inference(forward_demodulation,[],[f672,f404]) ).
fof(f672,plain,
subset(unordered_pair(sK10,sK10),sK9),
inference(resolution,[],[f355,f311]) ).
fof(f311,plain,
in(sK10,sK9),
inference(cnf_transformation,[],[f208]) ).
fof(f355,plain,
! [X0,X1] :
( ~ in(X0,X1)
| subset(unordered_pair(X0,X0),X1) ),
inference(definition_unfolding,[],[f269,f293]) ).
fof(f269,plain,
! [X0,X1] :
( subset(singleton(X0),X1)
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f172]) ).
fof(f172,plain,
! [X0,X1] :
( ( in(X0,X1)
| ~ subset(singleton(X0),X1) )
& ( subset(singleton(X0),X1)
| ~ in(X0,X1) ) ),
inference(rectify,[],[f171]) ).
fof(f171,plain,
! [X1,X0] :
( ( in(X1,X0)
| ~ subset(singleton(X1),X0) )
& ( subset(singleton(X1),X0)
| ~ in(X1,X0) ) ),
inference(nnf_transformation,[],[f104]) ).
fof(f104,plain,
! [X1,X0] :
( in(X1,X0)
<=> subset(singleton(X1),X0) ),
inference(rectify,[],[f33]) ).
fof(f33,axiom,
! [X1,X0] :
( in(X0,X1)
<=> subset(singleton(X0),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l2_zfmisc_1) ).
fof(f407,plain,
! [X0,X1] :
( ~ subset(X0,X1)
| set_union2(X0,X1) = X1 ),
inference(forward_demodulation,[],[f274,f346]) ).
fof(f346,plain,
! [X0,X1] : set_union2(X0,X1) = set_union2(X0,set_difference(X1,X0)),
inference(cnf_transformation,[],[f235]) ).
fof(f235,plain,
! [X0,X1] : set_union2(X0,X1) = set_union2(X0,set_difference(X1,X0)),
inference(rectify,[],[f105]) ).
fof(f105,plain,
! [X1,X0] : set_union2(X1,X0) = set_union2(X1,set_difference(X0,X1)),
inference(rectify,[],[f56]) ).
fof(f56,axiom,
! [X1,X0] : set_union2(X0,X1) = set_union2(X0,set_difference(X1,X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t39_xboole_1) ).
fof(f274,plain,
! [X0,X1] :
( set_union2(X0,set_difference(X1,X0)) = X1
| ~ subset(X0,X1) ),
inference(cnf_transformation,[],[f117]) ).
fof(f117,plain,
! [X0,X1] :
( set_union2(X0,set_difference(X1,X0)) = X1
| ~ subset(X0,X1) ),
inference(ennf_transformation,[],[f61]) ).
fof(f61,axiom,
! [X0,X1] :
( subset(X0,X1)
=> set_union2(X0,set_difference(X1,X0)) = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t45_xboole_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SEU152+2 : TPTP v8.1.0. Released v3.3.0.
% 0.08/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.15/0.35 % Computer : n004.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Tue Aug 30 14:38:49 EDT 2022
% 0.15/0.35 % CPUTime :
% 0.21/0.49 % (21150)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.49 % (21150)Instruction limit reached!
% 0.21/0.49 % (21150)------------------------------
% 0.21/0.49 % (21150)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.49 % (21150)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.49 % (21150)Termination reason: Unknown
% 0.21/0.49 % (21150)Termination phase: Preprocessing 3
% 0.21/0.49
% 0.21/0.49 % (21150)Memory used [KB]: 1023
% 0.21/0.49 % (21150)Time elapsed: 0.003 s
% 0.21/0.49 % (21150)Instructions burned: 2 (million)
% 0.21/0.49 % (21150)------------------------------
% 0.21/0.49 % (21150)------------------------------
% 0.21/0.49 % (21166)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.21/0.52 % (21154)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.21/0.52 % (21153)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.21/0.53 % (21152)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.21/0.53 % (21148)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)
% 0.21/0.53 % (21164)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)
% 0.21/0.53 % (21143)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)
% 0.21/0.53 % (21146)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.54 % (21151)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)
% 0.21/0.54 % (21147)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)
% 0.21/0.54 % (21145)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)
% 0.21/0.54 % (21144)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)
% 0.21/0.54 % (21155)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.21/0.54 % (21165)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)
% 0.21/0.54 % (21142)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)
% 0.21/0.54 % (21156)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)
% 0.21/0.55 TRYING [1]
% 0.21/0.55 TRYING [2]
% 0.21/0.55 % (21170)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.21/0.55 % (21159)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.21/0.55 % (21171)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)
% 0.21/0.55 % (21169)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 (2999ds/177Mi)
% 0.21/0.55 % (21149)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.55 TRYING [1]
% 0.21/0.55 % (21167)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.21/0.55 TRYING [2]
% 0.21/0.55 % (21168)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)
% 0.21/0.55 % (21149)Instruction limit reached!
% 0.21/0.55 % (21149)------------------------------
% 0.21/0.55 % (21149)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.55 % (21149)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.55 % (21149)Termination reason: Unknown
% 0.21/0.55 % (21149)Termination phase: Saturation
% 0.21/0.55
% 0.21/0.55 % (21149)Memory used [KB]: 5628
% 0.21/0.55 % (21149)Time elapsed: 0.149 s
% 0.21/0.55 % (21149)Instructions burned: 7 (million)
% 0.21/0.55 % (21149)------------------------------
% 0.21/0.55 % (21149)------------------------------
% 0.21/0.55 % (21158)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)
% 0.21/0.55 % (21162)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)
% 0.21/0.55 TRYING [3]
% 0.21/0.55 % (21163)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.21/0.56 % (21161)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 (2999ds/100Mi)
% 0.21/0.56 % (21160)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.21/0.56 % (21157)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)
% 0.21/0.56 % (21146)First to succeed.
% 0.21/0.57 % (21154)Also succeeded, but the first one will report.
% 0.21/0.57 TRYING [3]
% 0.21/0.57 % (21146)Refutation found. Thanks to Tanya!
% 0.21/0.57 % SZS status Theorem for theBenchmark
% 0.21/0.57 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.57 % (21146)------------------------------
% 0.21/0.57 % (21146)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.57 % (21146)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.57 % (21146)Termination reason: Refutation
% 0.21/0.57
% 0.21/0.57 % (21146)Memory used [KB]: 5756
% 0.21/0.57 % (21146)Time elapsed: 0.162 s
% 0.21/0.57 % (21146)Instructions burned: 18 (million)
% 0.21/0.57 % (21146)------------------------------
% 0.21/0.57 % (21146)------------------------------
% 0.21/0.57 % (21141)Success in time 0.205 s
%------------------------------------------------------------------------------