TSTP Solution File: SWC255+1 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SWC255+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 : n022.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 18:42:43 EDT 2022
% Result : Theorem 0.19s 0.52s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of formulae : 21 ( 4 unt; 3 typ; 0 def)
% Number of atoms : 145 ( 28 equ)
% Maximal formula atoms : 22 ( 8 avg)
% Number of connectives : 166 ( 39 ~; 26 |; 89 &)
% ( 0 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 8 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 4 ( 0 usr; 3 ari)
% Number of type conns : 6 ( 3 >; 3 *; 0 +; 0 <<)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 32 ( 8 !; 24 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(pred_def_27,type,
sQ58_eqProxy: ( $int * $int ) > $o ).
tff(pred_def_28,type,
sQ59_eqProxy: ( $rat * $rat ) > $o ).
tff(pred_def_29,type,
sQ60_eqProxy: ( $real * $real ) > $o ).
fof(f969,plain,
$false,
inference(sat_instgen_refutation,[],[f563,f964,f560]) ).
fof(f560,plain,
( singletonP(sK8)
| ~ neq(sK7,nil) ),
inference(definition_unfolding,[],[f354,f357]) ).
fof(f357,plain,
sK9 = sK7,
inference(cnf_transformation,[],[f236]) ).
fof(f236,plain,
( ssList(sK7)
& ssList(sK8)
& sK9 = sK7
& ssList(sK9)
& ( ( singletonP(sK8)
& neq(sK7,nil)
& ~ singletonP(sK6) )
| ( neq(sK7,nil)
& ~ neq(sK9,nil) ) )
& sK6 = sK8
& ssList(sK6) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6,sK7,sK8,sK9])],[f147,f235,f234,f233,f232]) ).
fof(f232,plain,
( ? [X0] :
( ? [X1] :
( ssList(X1)
& ? [X2] :
( ssList(X2)
& ? [X3] :
( X1 = X3
& ssList(X3)
& ( ( singletonP(X2)
& neq(X1,nil)
& ~ singletonP(X0) )
| ( neq(X1,nil)
& ~ neq(X3,nil) ) )
& X0 = X2 ) ) )
& ssList(X0) )
=> ( ? [X1] :
( ssList(X1)
& ? [X2] :
( ssList(X2)
& ? [X3] :
( X1 = X3
& ssList(X3)
& ( ( singletonP(X2)
& neq(X1,nil)
& ~ singletonP(sK6) )
| ( neq(X1,nil)
& ~ neq(X3,nil) ) )
& sK6 = X2 ) ) )
& ssList(sK6) ) ),
introduced(choice_axiom,[]) ).
fof(f233,plain,
( ? [X1] :
( ssList(X1)
& ? [X2] :
( ssList(X2)
& ? [X3] :
( X1 = X3
& ssList(X3)
& ( ( singletonP(X2)
& neq(X1,nil)
& ~ singletonP(sK6) )
| ( neq(X1,nil)
& ~ neq(X3,nil) ) )
& sK6 = X2 ) ) )
=> ( ssList(sK7)
& ? [X2] :
( ssList(X2)
& ? [X3] :
( sK7 = X3
& ssList(X3)
& ( ( singletonP(X2)
& neq(sK7,nil)
& ~ singletonP(sK6) )
| ( neq(sK7,nil)
& ~ neq(X3,nil) ) )
& sK6 = X2 ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f234,plain,
( ? [X2] :
( ssList(X2)
& ? [X3] :
( sK7 = X3
& ssList(X3)
& ( ( singletonP(X2)
& neq(sK7,nil)
& ~ singletonP(sK6) )
| ( neq(sK7,nil)
& ~ neq(X3,nil) ) )
& sK6 = X2 ) )
=> ( ssList(sK8)
& ? [X3] :
( sK7 = X3
& ssList(X3)
& ( ( singletonP(sK8)
& neq(sK7,nil)
& ~ singletonP(sK6) )
| ( neq(sK7,nil)
& ~ neq(X3,nil) ) )
& sK6 = sK8 ) ) ),
introduced(choice_axiom,[]) ).
fof(f235,plain,
( ? [X3] :
( sK7 = X3
& ssList(X3)
& ( ( singletonP(sK8)
& neq(sK7,nil)
& ~ singletonP(sK6) )
| ( neq(sK7,nil)
& ~ neq(X3,nil) ) )
& sK6 = sK8 )
=> ( sK9 = sK7
& ssList(sK9)
& ( ( singletonP(sK8)
& neq(sK7,nil)
& ~ singletonP(sK6) )
| ( neq(sK7,nil)
& ~ neq(sK9,nil) ) )
& sK6 = sK8 ) ),
introduced(choice_axiom,[]) ).
fof(f147,plain,
? [X0] :
( ? [X1] :
( ssList(X1)
& ? [X2] :
( ssList(X2)
& ? [X3] :
( X1 = X3
& ssList(X3)
& ( ( singletonP(X2)
& neq(X1,nil)
& ~ singletonP(X0) )
| ( neq(X1,nil)
& ~ neq(X3,nil) ) )
& X0 = X2 ) ) )
& ssList(X0) ),
inference(flattening,[],[f146]) ).
fof(f146,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( X1 = X3
& ( ( singletonP(X2)
& neq(X1,nil)
& ~ singletonP(X0) )
| ( neq(X1,nil)
& ~ neq(X3,nil) ) )
& X0 = X2
& 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)
=> ( X1 != X3
| ( ( ~ singletonP(X2)
| ~ neq(X1,nil)
| singletonP(X0) )
& ( ~ neq(X1,nil)
| neq(X3,nil) ) )
| X0 != X2 ) ) ) ) ),
inference(negated_conjecture,[],[f96]) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( X1 != X3
| ( ( ~ singletonP(X2)
| ~ neq(X1,nil)
| singletonP(X0) )
& ( ~ neq(X1,nil)
| neq(X3,nil) ) )
| X0 != X2 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
fof(f354,plain,
( singletonP(sK8)
| ~ neq(sK9,nil) ),
inference(cnf_transformation,[],[f236]) ).
fof(f964,plain,
neq(sK7,nil),
inference(duplicate_literal_removal,[],[f353]) ).
fof(f353,plain,
( neq(sK7,nil)
| neq(sK7,nil) ),
inference(cnf_transformation,[],[f236]) ).
fof(f563,plain,
( ~ neq(sK7,nil)
| ~ singletonP(sK8) ),
inference(definition_unfolding,[],[f350,f349,f357]) ).
fof(f349,plain,
sK6 = sK8,
inference(cnf_transformation,[],[f236]) ).
fof(f350,plain,
( ~ singletonP(sK6)
| ~ neq(sK9,nil) ),
inference(cnf_transformation,[],[f236]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWC255+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
% 0.13/0.34 % Computer : n022.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 18:40:26 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.48 % (5923)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)
% 0.19/0.49 % (5932)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)
% 0.19/0.49 % (5924)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)
% 0.19/0.49 % (5915)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)
% 0.19/0.50 % (5916)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.50 % (5923)First to succeed.
% 0.19/0.51 % (5931)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)
% 0.19/0.51 % (5916)Instruction limit reached!
% 0.19/0.51 % (5916)------------------------------
% 0.19/0.51 % (5916)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (5916)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (5916)Termination reason: Unknown
% 0.19/0.51 % (5916)Termination phase: Function definition elimination
% 0.19/0.51
% 0.19/0.51 % (5916)Memory used [KB]: 1279
% 0.19/0.51 % (5916)Time elapsed: 0.009 s
% 0.19/0.51 % (5916)Instructions burned: 8 (million)
% 0.19/0.51 % (5916)------------------------------
% 0.19/0.51 % (5916)------------------------------
% 0.19/0.52 % (5910)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 % (5932)Also succeeded, but the first one will report.
% 0.19/0.52 % (5923)Refutation found. Thanks to Tanya!
% 0.19/0.52 % SZS status Theorem for theBenchmark
% 0.19/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.52 % (5923)------------------------------
% 0.19/0.52 % (5923)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (5923)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (5923)Termination reason: Refutation
% 0.19/0.52
% 0.19/0.52 % (5923)Memory used [KB]: 6396
% 0.19/0.52 % (5923)Time elapsed: 0.010 s
% 0.19/0.52 % (5923)Instructions burned: 14 (million)
% 0.19/0.52 % (5923)------------------------------
% 0.19/0.52 % (5923)------------------------------
% 0.19/0.52 % (5908)Success in time 0.176 s
%------------------------------------------------------------------------------