TSTP Solution File: GEO080+1 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GEO080+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 : n002.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 16:11:46 EDT 2022
% Result : Theorem 1.68s 0.58s
% Output : Refutation 1.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 4
% Syntax : Number of formulae : 17 ( 7 unt; 0 def)
% Number of atoms : 43 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 45 ( 19 ~; 13 |; 8 &)
% ( 2 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-2 aty)
% Number of variables : 30 ( 25 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f156,plain,
$false,
inference(resolution,[],[f151,f123]) ).
fof(f123,plain,
~ part_of(sK8,sK8),
inference(cnf_transformation,[],[f80]) ).
fof(f80,plain,
~ part_of(sK8,sK8),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8])],[f45,f79]) ).
fof(f79,plain,
( ? [X0] : ~ part_of(X0,X0)
=> ~ part_of(sK8,sK8) ),
introduced(choice_axiom,[]) ).
fof(f45,plain,
? [X0] : ~ part_of(X0,X0),
inference(ennf_transformation,[],[f18]) ).
fof(f18,negated_conjecture,
~ ! [X0] : part_of(X0,X0),
inference(negated_conjecture,[],[f17]) ).
fof(f17,conjecture,
! [X0] : part_of(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_reflexivity) ).
fof(f151,plain,
! [X0] : part_of(X0,X0),
inference(duplicate_literal_removal,[],[f150]) ).
fof(f150,plain,
! [X0] :
( part_of(X0,X0)
| part_of(X0,X0) ),
inference(resolution,[],[f133,f132]) ).
fof(f132,plain,
! [X0,X1] :
( ~ incident_c(sK10(X0,X1),X1)
| part_of(X0,X1) ),
inference(cnf_transformation,[],[f90]) ).
fof(f90,plain,
! [X0,X1] :
( ( part_of(X0,X1)
| ( incident_c(sK10(X0,X1),X0)
& ~ incident_c(sK10(X0,X1),X1) ) )
& ( ! [X3] :
( ~ incident_c(X3,X0)
| incident_c(X3,X1) )
| ~ part_of(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10])],[f88,f89]) ).
fof(f89,plain,
! [X0,X1] :
( ? [X2] :
( incident_c(X2,X0)
& ~ incident_c(X2,X1) )
=> ( incident_c(sK10(X0,X1),X0)
& ~ incident_c(sK10(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f88,plain,
! [X0,X1] :
( ( part_of(X0,X1)
| ? [X2] :
( incident_c(X2,X0)
& ~ incident_c(X2,X1) ) )
& ( ! [X3] :
( ~ incident_c(X3,X0)
| incident_c(X3,X1) )
| ~ part_of(X0,X1) ) ),
inference(rectify,[],[f87]) ).
fof(f87,plain,
! [X1,X0] :
( ( part_of(X1,X0)
| ? [X2] :
( incident_c(X2,X1)
& ~ incident_c(X2,X0) ) )
& ( ! [X2] :
( ~ incident_c(X2,X1)
| incident_c(X2,X0) )
| ~ part_of(X1,X0) ) ),
inference(nnf_transformation,[],[f53]) ).
fof(f53,plain,
! [X1,X0] :
( part_of(X1,X0)
<=> ! [X2] :
( ~ incident_c(X2,X1)
| incident_c(X2,X0) ) ),
inference(ennf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X1,X0] :
( part_of(X1,X0)
<=> ! [X2] :
( incident_c(X2,X1)
=> incident_c(X2,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',part_of_defn) ).
fof(f133,plain,
! [X0,X1] :
( incident_c(sK10(X0,X1),X0)
| part_of(X0,X1) ),
inference(cnf_transformation,[],[f90]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : GEO080+1 : TPTP v8.1.0. Released v2.4.0.
% 0.04/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.34 % Computer : n002.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Aug 29 21:23:58 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.55 % (29521)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 (2999ds/37Mi)
% 0.19/0.56 % (29520)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)
% 0.19/0.56 % (29529)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.68/0.57 % (29538)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)
% 1.68/0.57 % (29520)Refutation not found, incomplete strategy% (29520)------------------------------
% 1.68/0.57 % (29520)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.68/0.57 % (29539)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)
% 1.68/0.57 % (29528)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 (2999ds/51Mi)
% 1.68/0.57 % (29520)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.68/0.57 % (29520)Termination reason: Refutation not found, incomplete strategy
% 1.68/0.57
% 1.68/0.57 % (29520)Memory used [KB]: 5500
% 1.68/0.57 % (29520)Time elapsed: 0.148 s
% 1.68/0.57 % (29520)Instructions burned: 4 (million)
% 1.68/0.57 % (29520)------------------------------
% 1.68/0.57 % (29520)------------------------------
% 1.68/0.57 % (29521)First to succeed.
% 1.68/0.58 % (29521)Refutation found. Thanks to Tanya!
% 1.68/0.58 % SZS status Theorem for theBenchmark
% 1.68/0.58 % SZS output start Proof for theBenchmark
% See solution above
% 1.68/0.58 % (29521)------------------------------
% 1.68/0.58 % (29521)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.68/0.58 % (29521)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.68/0.58 % (29521)Termination reason: Refutation
% 1.68/0.58
% 1.68/0.58 % (29521)Memory used [KB]: 1023
% 1.68/0.58 % (29521)Time elapsed: 0.155 s
% 1.68/0.58 % (29521)Instructions burned: 4 (million)
% 1.68/0.58 % (29521)------------------------------
% 1.68/0.58 % (29521)------------------------------
% 1.68/0.58 % (29518)Success in time 0.224 s
%------------------------------------------------------------------------------