TSTP Solution File: SET016-1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SET016-1 : 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 : n006.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 18:18:23 EDT 2022
% Result : Unsatisfiable 0.20s 0.57s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 9
% Syntax : Number of formulae : 24 ( 9 unt; 0 def)
% Number of atoms : 41 ( 17 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 31 ( 14 ~; 15 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 3 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 11 ( 11 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f86,plain,
$false,
inference(avatar_sat_refutation,[],[f23,f45,f85]) ).
fof(f85,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f84]) ).
fof(f84,plain,
( $false
| ~ spl0_1 ),
inference(subsumption_resolution,[],[f83,f8]) ).
fof(f8,axiom,
m1 != m2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_first_components_equal) ).
fof(f83,plain,
( m1 = m2
| ~ spl0_1 ),
inference(resolution,[],[f59,f2]) ).
fof(f2,axiom,
! [X0,X1] :
( ~ member(X0,singleton_set(X1))
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',singleton_2) ).
fof(f59,plain,
( member(m2,singleton_set(m1))
| ~ spl0_1 ),
inference(superposition,[],[f3,f18]) ).
fof(f18,plain,
( unordered_pair(m2,r2) = singleton_set(m1)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f16]) ).
fof(f16,plain,
( spl0_1
<=> unordered_pair(m2,r2) = singleton_set(m1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f3,axiom,
! [X0,X1] : member(X0,unordered_pair(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unordered_pair_1) ).
fof(f45,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f44]) ).
fof(f44,plain,
( $false
| ~ spl0_2 ),
inference(subsumption_resolution,[],[f43,f8]) ).
fof(f43,plain,
( m1 = m2
| ~ spl0_2 ),
inference(resolution,[],[f39,f2]) ).
fof(f39,plain,
( member(m2,singleton_set(m1))
| ~ spl0_2 ),
inference(superposition,[],[f1,f22]) ).
fof(f22,plain,
( singleton_set(m1) = singleton_set(m2)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f20]) ).
fof(f20,plain,
( spl0_2
<=> singleton_set(m1) = singleton_set(m2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f1,axiom,
! [X0] : member(X0,singleton_set(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',singleton_1) ).
fof(f23,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f14,f20,f16]) ).
fof(f14,plain,
( singleton_set(m1) = singleton_set(m2)
| unordered_pair(m2,r2) = singleton_set(m1) ),
inference(resolution,[],[f12,f3]) ).
fof(f12,plain,
! [X0] :
( ~ member(X0,unordered_pair(singleton_set(m1),unordered_pair(m1,r1)))
| unordered_pair(m2,r2) = X0
| singleton_set(m2) = X0 ),
inference(superposition,[],[f5,f9]) ).
fof(f9,plain,
unordered_pair(singleton_set(m1),unordered_pair(m1,r1)) = unordered_pair(singleton_set(m2),unordered_pair(m2,r2)),
inference(definition_unfolding,[],[f7,f6,f6]) ).
fof(f6,axiom,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(singleton_set(X0),unordered_pair(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ordered_pair) ).
fof(f7,axiom,
ordered_pair(m1,r1) = ordered_pair(m2,r2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',equal_ordered_pairs) ).
fof(f5,axiom,
! [X2,X0,X1] :
( ~ member(X0,unordered_pair(X1,X2))
| X0 = X2
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unordered_pair_3) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET016-1 : TPTP v8.1.0. Released v1.0.0.
% 0.12/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.34 % Computer : n006.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Aug 30 12:52:25 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.53 % (14977)lrs+1004_1:734_av=off:awrs=converge:awrsf=70:br=off:ep=RSTC:erd=off:gs=on:nwc=3.0:s2a=on:s2agt=16:sp=occurrence:updr=off:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.20/0.53 % (14977)Instruction limit reached!
% 0.20/0.53 % (14977)------------------------------
% 0.20/0.53 % (14977)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (14969)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.20/0.54 % (14993)lrs+3_8:1_anc=none:erd=off:fsd=on:s2a=on:s2agt=16:sgt=16:sos=on:sp=frequency:ss=included:i=71:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/71Mi)
% 0.20/0.54 % (14977)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (14977)Termination reason: Unknown
% 0.20/0.54 % (14977)Termination phase: Saturation
% 0.20/0.54
% 0.20/0.54 % (14977)Memory used [KB]: 5884
% 0.20/0.54 % (14977)Time elapsed: 0.126 s
% 0.20/0.54 % (14977)Instructions burned: 6 (million)
% 0.20/0.54 % (14977)------------------------------
% 0.20/0.54 % (14977)------------------------------
% 0.20/0.54 % (14969)Instruction limit reached!
% 0.20/0.54 % (14969)------------------------------
% 0.20/0.54 % (14969)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (14969)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (14969)Termination reason: Unknown
% 0.20/0.54 % (14969)Termination phase: Saturation
% 0.20/0.54
% 0.20/0.54 % (14969)Memory used [KB]: 5884
% 0.20/0.54 % (14969)Time elapsed: 0.130 s
% 0.20/0.54 % (14969)Instructions burned: 4 (million)
% 0.20/0.54 % (14969)------------------------------
% 0.20/0.54 % (14969)------------------------------
% 0.20/0.55 % (14993)First to succeed.
% 0.20/0.55 % (14973)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)
% 0.20/0.56 % (14980)lrs+30_1:12_av=off:bs=unit_only:fsd=on:gs=on:lwlo=on:newcnf=on:slsq=on:slsqr=1,2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.56 % (14976)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.56 % (14996)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.56 % (14996)Also succeeded, but the first one will report.
% 0.20/0.57 % (14993)Refutation found. Thanks to Tanya!
% 0.20/0.57 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.57 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.57 % (14993)------------------------------
% 0.20/0.57 % (14993)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57 % (14993)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57 % (14993)Termination reason: Refutation
% 0.20/0.57
% 0.20/0.57 % (14993)Memory used [KB]: 5884
% 0.20/0.57 % (14993)Time elapsed: 0.138 s
% 0.20/0.57 % (14993)Instructions burned: 4 (million)
% 0.20/0.57 % (14993)------------------------------
% 0.20/0.57 % (14993)------------------------------
% 0.20/0.57 % (14966)Success in time 0.211 s
%------------------------------------------------------------------------------