TSTP Solution File: SET031-4 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SET031-4 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% Computer : n026.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 18:18:35 EDT 2022
% Result : Unsatisfiable 0.19s 0.53s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 9
% Syntax : Number of formulae : 22 ( 11 unt; 0 def)
% Number of atoms : 39 ( 8 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 37 ( 20 ~; 17 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 2 con; 0-3 aty)
% Number of variables : 27 ( 27 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f232,plain,
$false,
inference(subsumption_resolution,[],[f231,f191]) ).
fof(f191,plain,
little_set(f30(f18(compose(a,b)),a,b)),
inference(resolution,[],[f186,f129]) ).
fof(f129,axiom,
! [X3,X9,X7] :
( ~ member(X3,compose(X7,X9))
| little_set(f30(X3,X7,X9)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',compose2) ).
fof(f186,plain,
member(f18(compose(a,b)),compose(a,b)),
inference(resolution,[],[f142,f77]) ).
fof(f77,axiom,
! [X3] :
( relation(X3)
| member(f18(X3),X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',relation2) ).
fof(f142,axiom,
~ relation(compose(a,b)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_composition_is_a_relation) ).
fof(f231,plain,
~ little_set(f30(f18(compose(a,b)),a,b)),
inference(subsumption_resolution,[],[f230,f190]) ).
fof(f190,plain,
little_set(f29(f18(compose(a,b)),a,b)),
inference(resolution,[],[f186,f128]) ).
fof(f128,axiom,
! [X3,X9,X7] :
( ~ member(X3,compose(X7,X9))
| little_set(f29(X3,X7,X9)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',compose1) ).
fof(f230,plain,
( ~ little_set(f29(f18(compose(a,b)),a,b))
| ~ little_set(f30(f18(compose(a,b)),a,b)) ),
inference(subsumption_resolution,[],[f202,f185]) ).
fof(f185,plain,
~ ordered_pair_predicate(f18(compose(a,b))),
inference(resolution,[],[f142,f78]) ).
fof(f78,axiom,
! [X3] :
( relation(X3)
| ~ ordered_pair_predicate(f18(X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',relation3) ).
fof(f202,plain,
( ordered_pair_predicate(f18(compose(a,b)))
| ~ little_set(f30(f18(compose(a,b)),a,b))
| ~ little_set(f29(f18(compose(a,b)),a,b)) ),
inference(superposition,[],[f183,f189]) ).
fof(f189,plain,
non_ordered_pair(non_ordered_pair(f29(f18(compose(a,b)),a,b),f29(f18(compose(a,b)),a,b)),non_ordered_pair(f29(f18(compose(a,b)),a,b),f30(f18(compose(a,b)),a,b))) = f18(compose(a,b)),
inference(resolution,[],[f186,f155]) ).
fof(f155,plain,
! [X3,X9,X7] :
( ~ member(X3,compose(X7,X9))
| non_ordered_pair(non_ordered_pair(f29(X3,X7,X9),f29(X3,X7,X9)),non_ordered_pair(f29(X3,X7,X9),f30(X3,X7,X9))) = X3 ),
inference(definition_unfolding,[],[f131,f144]) ).
fof(f144,plain,
! [X0,X1] : ordered_pair(X0,X1) = non_ordered_pair(non_ordered_pair(X0,X0),non_ordered_pair(X0,X1)),
inference(definition_unfolding,[],[f10,f9]) ).
fof(f9,axiom,
! [X0] : singleton_set(X0) = non_ordered_pair(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',singleton_set) ).
fof(f10,axiom,
! [X0,X1] : ordered_pair(X0,X1) = non_ordered_pair(singleton_set(X0),non_ordered_pair(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ordered_pair) ).
fof(f131,axiom,
! [X3,X9,X7] :
( ~ member(X3,compose(X7,X9))
| ordered_pair(f29(X3,X7,X9),f30(X3,X7,X9)) = X3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',compose4) ).
fof(f183,plain,
! [X3,X1] :
( ordered_pair_predicate(non_ordered_pair(non_ordered_pair(X1,X1),non_ordered_pair(X1,X3)))
| ~ little_set(X1)
| ~ little_set(X3) ),
inference(equality_resolution,[],[f169]) ).
fof(f169,plain,
! [X3,X0,X1] :
( ordered_pair_predicate(X0)
| non_ordered_pair(non_ordered_pair(X1,X1),non_ordered_pair(X1,X3)) != X0
| ~ little_set(X1)
| ~ little_set(X3) ),
inference(definition_unfolding,[],[f14,f144]) ).
fof(f14,axiom,
! [X3,X0,X1] :
( ordered_pair_predicate(X0)
| ordered_pair(X1,X3) != X0
| ~ little_set(X1)
| ~ little_set(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ordered_pair_predicate4) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET031-4 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34 % Computer : n026.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 13:13:21 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.50 % (12865)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.19/0.50 % (12873)lrs+1011_1:1_atotf=0.0306256:ep=RST:mep=off:nm=0:sos=all:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.51 % (12866)dis+21_1:1_av=off:fd=off:lcm=predicate:sos=on:spb=goal:urr=ec_only:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/42Mi)
% 0.19/0.51 % (12873)Instruction limit reached!
% 0.19/0.51 % (12873)------------------------------
% 0.19/0.51 % (12873)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (12873)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (12873)Termination reason: Unknown
% 0.19/0.51 % (12873)Termination phase: shuffling
% 0.19/0.51
% 0.19/0.51 % (12873)Memory used [KB]: 1407
% 0.19/0.51 % (12873)Time elapsed: 0.004 s
% 0.19/0.51 % (12873)Instructions burned: 4 (million)
% 0.19/0.51 % (12873)------------------------------
% 0.19/0.51 % (12873)------------------------------
% 0.19/0.52 % (12871)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.19/0.52 % (12877)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=5:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.19/0.52 % (12881)lrs+1_1:1_aac=none:add=large:anc=all_dependent:cond=fast:ep=RST:fsr=off:lma=on:nm=2:sos=on:sp=reverse_arity:stl=30:uhcvi=on:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.52 % (12881)Instruction limit reached!
% 0.19/0.52 % (12881)------------------------------
% 0.19/0.52 % (12881)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (12866)First to succeed.
% 0.19/0.52 % (12881)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (12881)Termination reason: Unknown
% 0.19/0.52 % (12881)Termination phase: Property scanning
% 0.19/0.52
% 0.19/0.52 % (12881)Memory used [KB]: 1407
% 0.19/0.52 % (12881)Time elapsed: 0.004 s
% 0.19/0.52 % (12881)Instructions burned: 4 (million)
% 0.19/0.52 % (12881)------------------------------
% 0.19/0.52 % (12881)------------------------------
% 0.19/0.53 % (12893)lrs+10_1:1_sos=all:ss=axioms:st=1.5:i=20:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/20Mi)
% 0.19/0.53 % (12866)Refutation found. Thanks to Tanya!
% 0.19/0.53 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.53 % (12866)------------------------------
% 0.19/0.53 % (12866)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (12866)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (12866)Termination reason: Refutation
% 0.19/0.53
% 0.19/0.53 % (12866)Memory used [KB]: 1791
% 0.19/0.53 % (12866)Time elapsed: 0.118 s
% 0.19/0.53 % (12866)Instructions burned: 11 (million)
% 0.19/0.53 % (12866)------------------------------
% 0.19/0.53 % (12866)------------------------------
% 0.19/0.53 % (12864)Success in time 0.177 s
%------------------------------------------------------------------------------