TSTP Solution File: SEU148+2 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SEU148+2 : TPTP v8.1.0. Released v3.3.0.
% 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 : n010.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 18:32:09 EDT 2022
% Result : Theorem 0.19s 0.50s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 6
% Syntax : Number of formulae : 24 ( 12 unt; 0 def)
% Number of atoms : 39 ( 18 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 28 ( 13 ~; 9 |; 1 &)
% ( 3 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 27 ( 25 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f819,plain,
$false,
inference(trivial_inequality_removal,[],[f802]) ).
fof(f802,plain,
sK13 != sK13,
inference(superposition,[],[f239,f789]) ).
fof(f789,plain,
sK13 = sK14,
inference(resolution,[],[f786,f657]) ).
fof(f657,plain,
in(sK14,sF16),
inference(resolution,[],[f620,f297]) ).
fof(f297,plain,
subset(sF15,sF16),
inference(definition_folding,[],[f270,f296,f295]) ).
fof(f295,plain,
unordered_pair(sK14,sK14) = sF15,
introduced(function_definition,[]) ).
fof(f296,plain,
unordered_pair(sK13,sK13) = sF16,
introduced(function_definition,[]) ).
fof(f270,plain,
subset(unordered_pair(sK14,sK14),unordered_pair(sK13,sK13)),
inference(definition_unfolding,[],[f240,f182,f182]) ).
fof(f182,plain,
! [X0] : singleton(X0) = unordered_pair(X0,X0),
inference(cnf_transformation,[],[f64]) ).
fof(f64,axiom,
! [X0] : singleton(X0) = unordered_pair(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t69_enumset1) ).
fof(f240,plain,
subset(singleton(sK14),singleton(sK13)),
inference(cnf_transformation,[],[f133]) ).
fof(f133,plain,
? [X1,X0] :
( subset(singleton(X0),singleton(X1))
& X0 != X1 ),
inference(ennf_transformation,[],[f67]) ).
fof(f67,negated_conjecture,
~ ! [X0,X1] :
( subset(singleton(X0),singleton(X1))
=> X0 = X1 ),
inference(negated_conjecture,[],[f66]) ).
fof(f66,conjecture,
! [X0,X1] :
( subset(singleton(X0),singleton(X1))
=> X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t6_zfmisc_1) ).
fof(f620,plain,
! [X6] :
( ~ subset(sF15,X6)
| in(sK14,X6) ),
inference(superposition,[],[f247,f295]) ).
fof(f247,plain,
! [X0,X1] :
( ~ subset(unordered_pair(X0,X0),X1)
| in(X0,X1) ),
inference(definition_unfolding,[],[f150,f182]) ).
fof(f150,plain,
! [X0,X1] :
( ~ subset(singleton(X0),X1)
| in(X0,X1) ),
inference(cnf_transformation,[],[f31]) ).
fof(f31,axiom,
! [X1,X0] :
( in(X0,X1)
<=> subset(singleton(X0),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l2_zfmisc_1) ).
fof(f786,plain,
! [X5] :
( ~ in(X5,sF16)
| sK13 = X5 ),
inference(superposition,[],[f288,f296]) ).
fof(f288,plain,
! [X2,X0] :
( ~ in(X2,unordered_pair(X0,X0))
| X0 = X2 ),
inference(equality_resolution,[],[f267]) ).
fof(f267,plain,
! [X2,X0,X1] :
( ~ in(X2,X1)
| X0 = X2
| unordered_pair(X0,X0) != X1 ),
inference(definition_unfolding,[],[f210,f182]) ).
fof(f210,plain,
! [X2,X0,X1] :
( ~ in(X2,X1)
| X0 = X2
| singleton(X0) != X1 ),
inference(cnf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0,X1] :
( singleton(X0) = X1
<=> ! [X2] :
( X0 = X2
<=> in(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_tarski) ).
fof(f239,plain,
sK13 != sK14,
inference(cnf_transformation,[],[f133]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SEU148+2 : TPTP v8.1.0. Released v3.3.0.
% 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
% 0.12/0.33 % Computer : n010.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Aug 30 14:38:44 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.46 % (21850)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)
% 0.19/0.46 % (21842)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)
% 0.19/0.47 % (21866)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.19/0.49 % (21858)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)
% 0.19/0.49 % (21850)First to succeed.
% 0.19/0.49 % (21859)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 (2999ds/176Mi)
% 0.19/0.50 % (21843)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.50 % (21850)Refutation found. Thanks to Tanya!
% 0.19/0.50 % SZS status Theorem for theBenchmark
% 0.19/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.50 % (21850)------------------------------
% 0.19/0.50 % (21850)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (21850)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (21850)Termination reason: Refutation
% 0.19/0.50
% 0.19/0.50 % (21850)Memory used [KB]: 5756
% 0.19/0.50 % (21850)Time elapsed: 0.101 s
% 0.19/0.50 % (21850)Instructions burned: 19 (million)
% 0.19/0.50 % (21850)------------------------------
% 0.19/0.50 % (21850)------------------------------
% 0.19/0.50 % (21835)Success in time 0.158 s
%------------------------------------------------------------------------------