TSTP Solution File: SWC136+1 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SWC136+1 : TPTP v8.1.0. Released v2.4.0.
% 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 : n015.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 18:41:57 EDT 2022
% Result : Theorem 1.33s 0.55s
% Output : Refutation 1.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 5
% Syntax : Number of formulae : 14 ( 5 unt; 0 def)
% Number of atoms : 97 ( 27 equ)
% Maximal formula atoms : 16 ( 6 avg)
% Number of connectives : 103 ( 20 ~; 6 |; 65 &)
% ( 0 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 8 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 32 ( 8 !; 24 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f602,plain,
$false,
inference(subsumption_resolution,[],[f529,f556]) ).
fof(f556,plain,
~ neq(sK48,nil),
inference(definition_unfolding,[],[f533,f532]) ).
fof(f532,plain,
sK50 = sK48,
inference(cnf_transformation,[],[f334]) ).
fof(f334,plain,
( ssList(sK48)
& ssList(sK49)
& ~ neq(sK50,nil)
& sK50 = sK48
& sK49 = sK47
& ssList(sK50)
& neq(sK48,nil)
& ssList(sK47) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK47,sK48,sK49,sK50])],[f220,f333,f332,f331,f330]) ).
fof(f330,plain,
( ? [X0] :
( ? [X1] :
( ssList(X1)
& ? [X2] :
( ssList(X2)
& ? [X3] :
( ~ neq(X3,nil)
& X1 = X3
& X0 = X2
& ssList(X3)
& neq(X1,nil) ) ) )
& ssList(X0) )
=> ( ? [X1] :
( ssList(X1)
& ? [X2] :
( ssList(X2)
& ? [X3] :
( ~ neq(X3,nil)
& X1 = X3
& sK47 = X2
& ssList(X3)
& neq(X1,nil) ) ) )
& ssList(sK47) ) ),
introduced(choice_axiom,[]) ).
fof(f331,plain,
( ? [X1] :
( ssList(X1)
& ? [X2] :
( ssList(X2)
& ? [X3] :
( ~ neq(X3,nil)
& X1 = X3
& sK47 = X2
& ssList(X3)
& neq(X1,nil) ) ) )
=> ( ssList(sK48)
& ? [X2] :
( ssList(X2)
& ? [X3] :
( ~ neq(X3,nil)
& sK48 = X3
& sK47 = X2
& ssList(X3)
& neq(sK48,nil) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f332,plain,
( ? [X2] :
( ssList(X2)
& ? [X3] :
( ~ neq(X3,nil)
& sK48 = X3
& sK47 = X2
& ssList(X3)
& neq(sK48,nil) ) )
=> ( ssList(sK49)
& ? [X3] :
( ~ neq(X3,nil)
& sK48 = X3
& sK49 = sK47
& ssList(X3)
& neq(sK48,nil) ) ) ),
introduced(choice_axiom,[]) ).
fof(f333,plain,
( ? [X3] :
( ~ neq(X3,nil)
& sK48 = X3
& sK49 = sK47
& ssList(X3)
& neq(sK48,nil) )
=> ( ~ neq(sK50,nil)
& sK50 = sK48
& sK49 = sK47
& ssList(sK50)
& neq(sK48,nil) ) ),
introduced(choice_axiom,[]) ).
fof(f220,plain,
? [X0] :
( ? [X1] :
( ssList(X1)
& ? [X2] :
( ssList(X2)
& ? [X3] :
( ~ neq(X3,nil)
& X1 = X3
& X0 = X2
& ssList(X3)
& neq(X1,nil) ) ) )
& ssList(X0) ),
inference(flattening,[],[f219]) ).
fof(f219,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ~ neq(X3,nil)
& neq(X1,nil)
& X0 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(ennf_transformation,[],[f97]) ).
fof(f97,negated_conjecture,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( neq(X3,nil)
| ~ neq(X1,nil)
| X0 != X2
| X1 != X3 ) ) ) ) ),
inference(negated_conjecture,[],[f96]) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( neq(X3,nil)
| ~ neq(X1,nil)
| X0 != X2
| X1 != X3 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
fof(f533,plain,
~ neq(sK50,nil),
inference(cnf_transformation,[],[f334]) ).
fof(f529,plain,
neq(sK48,nil),
inference(cnf_transformation,[],[f334]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWC136+1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.35 % Computer : n015.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Aug 30 18:35:06 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.20/0.52 % (6950)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.52 % (6953)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)
% 0.20/0.52 % (6938)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)
% 0.20/0.52 % (6952)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)
% 0.20/0.53 % (6961)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)
% 0.20/0.53 % (6954)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)
% 0.20/0.53 % (6942)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.53 % (6950)First to succeed.
% 0.20/0.53 % (6963)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.54 % (6960)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)
% 0.20/0.54 % (6939)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)
% 1.33/0.54 % (6964)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)
% 1.33/0.54 % (6940)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)
% 1.33/0.54 % (6943)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)
% 1.33/0.54 % (6945)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.33/0.54 % (6946)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.33/0.54 % (6967)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)
% 1.33/0.54 % (6946)Instruction limit reached!
% 1.33/0.54 % (6946)------------------------------
% 1.33/0.54 % (6946)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.33/0.54 % (6946)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.33/0.54 % (6946)Termination reason: Unknown
% 1.33/0.54 % (6946)Termination phase: shuffling
% 1.33/0.54
% 1.33/0.54 % (6946)Memory used [KB]: 1023
% 1.33/0.54 % (6946)Time elapsed: 0.005 s
% 1.33/0.54 % (6946)Instructions burned: 3 (million)
% 1.33/0.54 % (6946)------------------------------
% 1.33/0.54 % (6946)------------------------------
% 1.33/0.54 % (6956)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.33/0.54 % (6941)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)
% 1.33/0.55 % (6957)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)
% 1.33/0.55 % (6955)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.33/0.55 % (6959)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.33/0.55 % (6966)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.33/0.55 % (6962)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.33/0.55 % (6947)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)
% 1.33/0.55 % (6948)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.33/0.55 % (6949)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)
% 1.33/0.55 % (6951)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.33/0.55 % (6943)Also succeeded, but the first one will report.
% 1.33/0.55 % (6950)Refutation found. Thanks to Tanya!
% 1.33/0.55 % SZS status Theorem for theBenchmark
% 1.33/0.55 % SZS output start Proof for theBenchmark
% See solution above
% 1.33/0.55 % (6950)------------------------------
% 1.33/0.55 % (6950)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.33/0.55 % (6950)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.33/0.55 % (6950)Termination reason: Refutation
% 1.33/0.55
% 1.33/0.55 % (6950)Memory used [KB]: 5884
% 1.33/0.55 % (6950)Time elapsed: 0.010 s
% 1.33/0.55 % (6950)Instructions burned: 13 (million)
% 1.33/0.55 % (6950)------------------------------
% 1.33/0.55 % (6950)------------------------------
% 1.33/0.55 % (6937)Success in time 0.201 s
%------------------------------------------------------------------------------