TSTP Solution File: SYN332+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SYN332+1 : TPTP v8.1.0. Released v2.0.0.
% 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 : n027.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 19:37:33 EDT 2022
% Result : Theorem 0.18s 0.52s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 2
% Syntax : Number of formulae : 41 ( 4 unt; 0 def)
% Number of atoms : 305 ( 0 equ)
% Maximal formula atoms : 60 ( 7 avg)
% Number of connectives : 394 ( 130 ~; 139 |; 90 &)
% ( 18 <=>; 11 =>; 0 <=; 6 <~>)
% Maximal formula depth : 18 ( 7 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 1 ( 1 usr; 0 con; 2-2 aty)
% Number of variables : 82 ( 72 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f154,plain,
$false,
inference(subsumption_resolution,[],[f99,f136]) ).
fof(f136,plain,
! [X0,X1] : big_f(X0,X1),
inference(subsumption_resolution,[],[f135,f44]) ).
fof(f44,plain,
! [X2,X3] :
( big_f(X3,X2)
| big_f(X2,sK0(X2,X3)) ),
inference(resolution,[],[f37,f25]) ).
fof(f25,plain,
! [X0,X1] :
( big_f(X1,sK0(X0,X1))
| big_f(X1,X0) ),
inference(literal_reordering,[],[f20]) ).
fof(f20,plain,
! [X0,X1] :
( big_f(X1,sK0(X0,X1))
| big_f(X1,X0) ),
inference(cnf_transformation,[],[f9]) ).
fof(f9,plain,
! [X0,X1] :
( ( big_f(X1,sK0(X0,X1))
| ~ big_f(X0,sK0(X0,X1)) )
& ( big_f(X0,sK0(X0,X1))
| ~ big_f(X1,sK0(X0,X1)) )
& ( ~ big_f(X1,sK0(X0,X1))
| ~ big_f(X1,X0)
| ~ big_f(X0,X1) )
& ( big_f(X1,sK0(X0,X1))
| ( big_f(X1,X0)
& big_f(X0,X1) ) )
& ( big_f(X1,sK0(X0,X1))
| ~ big_f(sK0(X0,X1),X1) )
& ( big_f(sK0(X0,X1),X1)
| ~ big_f(X1,sK0(X0,X1)) )
& ( big_f(X1,X0)
| ~ big_f(X0,X1)
| ~ big_f(sK0(X0,X1),sK0(X0,X1)) )
& ( big_f(sK0(X0,X1),sK0(X0,X1))
| ( ~ big_f(X1,X0)
& big_f(X0,X1) ) )
& ( ~ big_f(sK0(X0,X1),X0)
| ( ( ~ big_f(X0,X1)
| ~ big_f(X1,X0) )
& ( big_f(X0,X1)
| big_f(X1,X0) ) ) )
& ( big_f(sK0(X0,X1),X0)
| ( ( big_f(X1,X0)
| ~ big_f(X0,X1) )
& ( big_f(X0,X1)
| ~ big_f(X1,X0) ) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f7,f8]) ).
fof(f8,plain,
! [X0,X1] :
( ? [X2] :
( ( big_f(X1,X2)
| ~ big_f(X0,X2) )
& ( big_f(X0,X2)
| ~ big_f(X1,X2) )
& ( ~ big_f(X1,X2)
| ~ big_f(X1,X0)
| ~ big_f(X0,X1) )
& ( big_f(X1,X2)
| ( big_f(X1,X0)
& big_f(X0,X1) ) )
& ( big_f(X1,X2)
| ~ big_f(X2,X1) )
& ( big_f(X2,X1)
| ~ big_f(X1,X2) )
& ( big_f(X1,X0)
| ~ big_f(X0,X1)
| ~ big_f(X2,X2) )
& ( big_f(X2,X2)
| ( ~ big_f(X1,X0)
& big_f(X0,X1) ) )
& ( ~ big_f(X2,X0)
| ( ( ~ big_f(X0,X1)
| ~ big_f(X1,X0) )
& ( big_f(X0,X1)
| big_f(X1,X0) ) ) )
& ( big_f(X2,X0)
| ( ( big_f(X1,X0)
| ~ big_f(X0,X1) )
& ( big_f(X0,X1)
| ~ big_f(X1,X0) ) ) ) )
=> ( ( big_f(X1,sK0(X0,X1))
| ~ big_f(X0,sK0(X0,X1)) )
& ( big_f(X0,sK0(X0,X1))
| ~ big_f(X1,sK0(X0,X1)) )
& ( ~ big_f(X1,sK0(X0,X1))
| ~ big_f(X1,X0)
| ~ big_f(X0,X1) )
& ( big_f(X1,sK0(X0,X1))
| ( big_f(X1,X0)
& big_f(X0,X1) ) )
& ( big_f(X1,sK0(X0,X1))
| ~ big_f(sK0(X0,X1),X1) )
& ( big_f(sK0(X0,X1),X1)
| ~ big_f(X1,sK0(X0,X1)) )
& ( big_f(X1,X0)
| ~ big_f(X0,X1)
| ~ big_f(sK0(X0,X1),sK0(X0,X1)) )
& ( big_f(sK0(X0,X1),sK0(X0,X1))
| ( ~ big_f(X1,X0)
& big_f(X0,X1) ) )
& ( ~ big_f(sK0(X0,X1),X0)
| ( ( ~ big_f(X0,X1)
| ~ big_f(X1,X0) )
& ( big_f(X0,X1)
| big_f(X1,X0) ) ) )
& ( big_f(sK0(X0,X1),X0)
| ( ( big_f(X1,X0)
| ~ big_f(X0,X1) )
& ( big_f(X0,X1)
| ~ big_f(X1,X0) ) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f7,plain,
! [X0,X1] :
? [X2] :
( ( big_f(X1,X2)
| ~ big_f(X0,X2) )
& ( big_f(X0,X2)
| ~ big_f(X1,X2) )
& ( ~ big_f(X1,X2)
| ~ big_f(X1,X0)
| ~ big_f(X0,X1) )
& ( big_f(X1,X2)
| ( big_f(X1,X0)
& big_f(X0,X1) ) )
& ( big_f(X1,X2)
| ~ big_f(X2,X1) )
& ( big_f(X2,X1)
| ~ big_f(X1,X2) )
& ( big_f(X1,X0)
| ~ big_f(X0,X1)
| ~ big_f(X2,X2) )
& ( big_f(X2,X2)
| ( ~ big_f(X1,X0)
& big_f(X0,X1) ) )
& ( ~ big_f(X2,X0)
| ( ( ~ big_f(X0,X1)
| ~ big_f(X1,X0) )
& ( big_f(X0,X1)
| big_f(X1,X0) ) ) )
& ( big_f(X2,X0)
| ( ( big_f(X1,X0)
| ~ big_f(X0,X1) )
& ( big_f(X0,X1)
| ~ big_f(X1,X0) ) ) ) ),
inference(rectify,[],[f6]) ).
fof(f6,plain,
! [X1,X0] :
? [X2] :
( ( big_f(X0,X2)
| ~ big_f(X1,X2) )
& ( big_f(X1,X2)
| ~ big_f(X0,X2) )
& ( ~ big_f(X0,X2)
| ~ big_f(X0,X1)
| ~ big_f(X1,X0) )
& ( big_f(X0,X2)
| ( big_f(X0,X1)
& big_f(X1,X0) ) )
& ( big_f(X0,X2)
| ~ big_f(X2,X0) )
& ( big_f(X2,X0)
| ~ big_f(X0,X2) )
& ( big_f(X0,X1)
| ~ big_f(X1,X0)
| ~ big_f(X2,X2) )
& ( big_f(X2,X2)
| ( ~ big_f(X0,X1)
& big_f(X1,X0) ) )
& ( ~ big_f(X2,X1)
| ( ( ~ big_f(X1,X0)
| ~ big_f(X0,X1) )
& ( big_f(X1,X0)
| big_f(X0,X1) ) ) )
& ( big_f(X2,X1)
| ( ( big_f(X0,X1)
| ~ big_f(X1,X0) )
& ( big_f(X1,X0)
| ~ big_f(X0,X1) ) ) ) ),
inference(flattening,[],[f5]) ).
fof(f5,plain,
! [X1,X0] :
? [X2] :
( ( big_f(X0,X2)
| ~ big_f(X1,X2) )
& ( big_f(X1,X2)
| ~ big_f(X0,X2) )
& ( ~ big_f(X0,X2)
| ~ big_f(X0,X1)
| ~ big_f(X1,X0) )
& ( big_f(X0,X2)
| ( big_f(X0,X1)
& big_f(X1,X0) ) )
& ( big_f(X0,X2)
| ~ big_f(X2,X0) )
& ( big_f(X2,X0)
| ~ big_f(X0,X2) )
& ( big_f(X0,X1)
| ~ big_f(X1,X0)
| ~ big_f(X2,X2) )
& ( big_f(X2,X2)
| ( ~ big_f(X0,X1)
& big_f(X1,X0) ) )
& ( ~ big_f(X2,X1)
| ( ( ~ big_f(X1,X0)
| ~ big_f(X0,X1) )
& ( big_f(X1,X0)
| big_f(X0,X1) ) ) )
& ( big_f(X2,X1)
| ( ( big_f(X0,X1)
| ~ big_f(X1,X0) )
& ( big_f(X1,X0)
| ~ big_f(X0,X1) ) ) ) ),
inference(nnf_transformation,[],[f4]) ).
fof(f4,plain,
! [X1,X0] :
? [X2] :
( ( big_f(X0,X2)
<=> big_f(X1,X2) )
& ( ( big_f(X0,X1)
& big_f(X1,X0) )
<~> big_f(X0,X2) )
& ( big_f(X0,X2)
<=> big_f(X2,X0) )
& ( ( big_f(X0,X1)
| ~ big_f(X1,X0) )
<=> big_f(X2,X2) )
& ( ( big_f(X0,X1)
<=> big_f(X1,X0) )
<~> big_f(X2,X1) ) ),
inference(flattening,[],[f3]) ).
fof(f3,plain,
! [X0,X1] :
? [X2] :
( ( ( big_f(X0,X1)
<=> big_f(X1,X0) )
<~> big_f(X2,X1) )
& ( ( big_f(X0,X1)
| ~ big_f(X1,X0) )
<=> big_f(X2,X2) )
& ( big_f(X0,X2)
<=> big_f(X1,X2) )
& ( big_f(X0,X2)
<=> big_f(X2,X0) )
& ( ( big_f(X0,X1)
& big_f(X1,X0) )
<~> big_f(X0,X2) ) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,negated_conjecture,
~ ? [X0,X1] :
! [X2] :
( ( ( big_f(X0,X1)
& big_f(X1,X0) )
<~> big_f(X0,X2) )
=> ( ( big_f(X0,X2)
<=> big_f(X2,X0) )
=> ( ( big_f(X0,X2)
<=> big_f(X1,X2) )
=> ( ( big_f(X2,X2)
<=> ( big_f(X1,X0)
=> big_f(X0,X1) ) )
=> ( big_f(X2,X1)
<=> ( big_f(X0,X1)
<=> big_f(X1,X0) ) ) ) ) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
? [X0,X1] :
! [X2] :
( ( ( big_f(X0,X1)
& big_f(X1,X0) )
<~> big_f(X0,X2) )
=> ( ( big_f(X0,X2)
<=> big_f(X2,X0) )
=> ( ( big_f(X0,X2)
<=> big_f(X1,X2) )
=> ( ( big_f(X2,X2)
<=> ( big_f(X1,X0)
=> big_f(X0,X1) ) )
=> ( big_f(X2,X1)
<=> ( big_f(X0,X1)
<=> big_f(X1,X0) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',church_46_14_4) ).
fof(f37,plain,
! [X0,X1] :
( ~ big_f(X1,sK0(X0,X1))
| big_f(X0,sK0(X0,X1)) ),
inference(literal_reordering,[],[f22]) ).
fof(f22,plain,
! [X0,X1] :
( ~ big_f(X1,sK0(X0,X1))
| big_f(X0,sK0(X0,X1)) ),
inference(cnf_transformation,[],[f9]) ).
fof(f135,plain,
! [X0,X1] :
( ~ big_f(X1,sK0(X1,X0))
| big_f(X0,X1) ),
inference(subsumption_resolution,[],[f132,f69]) ).
fof(f69,plain,
! [X0,X1] :
( ~ big_f(X0,X1)
| big_f(X1,X0) ),
inference(subsumption_resolution,[],[f28,f62]) ).
fof(f62,plain,
! [X0] : big_f(X0,X0),
inference(subsumption_resolution,[],[f61,f32]) ).
fof(f32,plain,
! [X0,X1] :
( big_f(X0,X1)
| big_f(X1,sK0(X0,X1)) ),
inference(literal_reordering,[],[f19]) ).
fof(f19,plain,
! [X0,X1] :
( big_f(X0,X1)
| big_f(X1,sK0(X0,X1)) ),
inference(cnf_transformation,[],[f9]) ).
fof(f61,plain,
! [X0] :
( ~ big_f(X0,sK0(X0,X0))
| big_f(X0,X0) ),
inference(duplicate_literal_removal,[],[f55]) ).
fof(f55,plain,
! [X0] :
( ~ big_f(X0,sK0(X0,X0))
| big_f(X0,X0)
| big_f(X0,X0) ),
inference(resolution,[],[f31,f36]) ).
fof(f36,plain,
! [X0,X1] :
( big_f(sK0(X0,X1),X1)
| ~ big_f(X1,sK0(X0,X1)) ),
inference(literal_reordering,[],[f17]) ).
fof(f17,plain,
! [X0,X1] :
( ~ big_f(X1,sK0(X0,X1))
| big_f(sK0(X0,X1),X1) ),
inference(cnf_transformation,[],[f9]) ).
fof(f31,plain,
! [X0,X1] :
( ~ big_f(sK0(X0,X1),X0)
| big_f(X0,X1)
| big_f(X1,X0) ),
inference(literal_reordering,[],[f12]) ).
fof(f12,plain,
! [X0,X1] :
( big_f(X0,X1)
| ~ big_f(sK0(X0,X1),X0)
| big_f(X1,X0) ),
inference(cnf_transformation,[],[f9]) ).
fof(f28,plain,
! [X0,X1] :
( ~ big_f(sK0(X0,X1),sK0(X0,X1))
| big_f(X1,X0)
| ~ big_f(X0,X1) ),
inference(literal_reordering,[],[f16]) ).
fof(f16,plain,
! [X0,X1] :
( ~ big_f(sK0(X0,X1),sK0(X0,X1))
| ~ big_f(X0,X1)
| big_f(X1,X0) ),
inference(cnf_transformation,[],[f9]) ).
fof(f132,plain,
! [X0,X1] :
( ~ big_f(sK0(X1,X0),X1)
| big_f(X0,X1)
| ~ big_f(X1,sK0(X1,X0)) ),
inference(resolution,[],[f123,f33]) ).
fof(f33,plain,
! [X0,X1] :
( ~ big_f(X1,sK0(X0,X1))
| ~ big_f(X0,X1)
| ~ big_f(X1,X0) ),
inference(literal_reordering,[],[f21]) ).
fof(f21,plain,
! [X0,X1] :
( ~ big_f(X1,X0)
| ~ big_f(X1,sK0(X0,X1))
| ~ big_f(X0,X1) ),
inference(cnf_transformation,[],[f9]) ).
fof(f123,plain,
! [X6,X5] :
( big_f(X6,X5)
| big_f(X5,sK0(sK0(X5,X6),X5)) ),
inference(subsumption_resolution,[],[f58,f118]) ).
fof(f118,plain,
! [X3,X4] :
( big_f(X4,sK0(sK0(X4,X3),X4))
| ~ big_f(X4,X3) ),
inference(subsumption_resolution,[],[f49,f69]) ).
fof(f49,plain,
! [X3,X4] :
( big_f(X4,sK0(sK0(X4,X3),X4))
| ~ big_f(X3,X4)
| ~ big_f(X4,X3) ),
inference(resolution,[],[f29,f32]) ).
fof(f29,plain,
! [X0,X1] :
( ~ big_f(sK0(X0,X1),X0)
| ~ big_f(X1,X0)
| ~ big_f(X0,X1) ),
inference(literal_reordering,[],[f13]) ).
fof(f13,plain,
! [X0,X1] :
( ~ big_f(X1,X0)
| ~ big_f(X0,X1)
| ~ big_f(sK0(X0,X1),X0) ),
inference(cnf_transformation,[],[f9]) ).
fof(f58,plain,
! [X6,X5] :
( big_f(X5,X6)
| big_f(X5,sK0(sK0(X5,X6),X5))
| big_f(X6,X5) ),
inference(resolution,[],[f31,f32]) ).
fof(f99,plain,
! [X0] : ~ big_f(X0,sK0(X0,X0)),
inference(subsumption_resolution,[],[f50,f62]) ).
fof(f50,plain,
! [X0] :
( ~ big_f(X0,sK0(X0,X0))
| ~ big_f(X0,X0) ),
inference(duplicate_literal_removal,[],[f47]) ).
fof(f47,plain,
! [X0] :
( ~ big_f(X0,sK0(X0,X0))
| ~ big_f(X0,X0)
| ~ big_f(X0,X0) ),
inference(resolution,[],[f29,f36]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN332+1 : TPTP v8.1.0. Released v2.0.0.
% 0.03/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.33 % Computer : n027.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Tue Aug 30 21:59:46 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.18/0.49 % (30684)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.18/0.50 % (30681)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.18/0.50 TRYING [1]
% 0.18/0.50 % (30700)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 (3000ds/498Mi)
% 0.18/0.50 TRYING [2]
% 0.18/0.50 TRYING [3]
% 0.18/0.50 % (30687)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 (3000ds/51Mi)
% 0.18/0.50 % (30692)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 (3000ds/68Mi)
% 0.18/0.50 % (30695)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/59Mi)
% 0.18/0.50 TRYING [4]
% 0.18/0.50 TRYING [1]
% 0.18/0.50 TRYING [2]
% 0.18/0.50 TRYING [3]
% 0.18/0.50 TRYING [5]
% 0.18/0.50 TRYING [4]
% 0.18/0.51 % (30692)First to succeed.
% 0.18/0.51 % (30679)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 0.18/0.51 % (30680)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 (3000ds/37Mi)
% 0.18/0.51 TRYING [5]
% 0.18/0.52 % (30698)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 (3000ds/176Mi)
% 0.18/0.52 % (30692)Refutation found. Thanks to Tanya!
% 0.18/0.52 % SZS status Theorem for theBenchmark
% 0.18/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.52 % (30692)------------------------------
% 0.18/0.52 % (30692)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52 % (30692)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.52 % (30692)Termination reason: Refutation
% 0.18/0.52
% 0.18/0.52 % (30692)Memory used [KB]: 5756
% 0.18/0.52 % (30692)Time elapsed: 0.010 s
% 0.18/0.52 % (30692)Instructions burned: 7 (million)
% 0.18/0.52 % (30692)------------------------------
% 0.18/0.52 % (30692)------------------------------
% 0.18/0.52 % (30677)Success in time 0.177 s
%------------------------------------------------------------------------------