TSTP Solution File: GEO499+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GEO499+1 : TPTP v8.1.0. Released v7.0.0.
% 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 : n020.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 16:10:36 EDT 2022
% Result : Theorem 0.19s 0.50s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 4
% Syntax : Number of formulae : 22 ( 11 unt; 0 def)
% Number of atoms : 35 ( 4 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 28 ( 15 ~; 7 |; 5 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 49 ( 37 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f298,plain,
$false,
inference(subsumption_resolution,[],[f297,f157]) ).
fof(f157,plain,
~ s_t(sK1,sK3,sK2),
inference(cnf_transformation,[],[f143]) ).
fof(f143,plain,
( s_t(s(sK0,sK1),s(sK0,sK3),s(sK0,sK2))
& ~ s_t(sK1,sK3,sK2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f141,f142]) ).
fof(f142,plain,
( ? [X0,X1,X2,X3] :
( s_t(s(X0,X1),s(X0,X3),s(X0,X2))
& ~ s_t(X1,X3,X2) )
=> ( s_t(s(sK0,sK1),s(sK0,sK3),s(sK0,sK2))
& ~ s_t(sK1,sK3,sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f141,plain,
? [X0,X1,X2,X3] :
( s_t(s(X0,X1),s(X0,X3),s(X0,X2))
& ~ s_t(X1,X3,X2) ),
inference(rectify,[],[f137]) ).
fof(f137,plain,
? [X1,X2,X0,X3] :
( s_t(s(X1,X2),s(X1,X3),s(X1,X0))
& ~ s_t(X2,X3,X0) ),
inference(ennf_transformation,[],[f118]) ).
fof(f118,plain,
~ ! [X0,X3,X2,X1] :
( ~ s_t(s(X1,X2),s(X1,X3),s(X1,X0))
| s_t(X2,X3,X0) ),
inference(rectify,[],[f107]) ).
fof(f107,negated_conjecture,
~ ! [X26,X11,X12,X15] :
( ~ s_t(s(X11,X12),s(X11,X15),s(X11,X26))
| s_t(X12,X15,X26) ),
inference(negated_conjecture,[],[f106]) ).
fof(f106,conjecture,
! [X26,X11,X12,X15] :
( ~ s_t(s(X11,X12),s(X11,X15),s(X11,X26))
| s_t(X12,X15,X26) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz7_15b) ).
fof(f297,plain,
s_t(sK1,sK3,sK2),
inference(forward_demodulation,[],[f296,f159]) ).
fof(f159,plain,
! [X0,X1] : s(X1,s(X1,X0)) = X0,
inference(cnf_transformation,[],[f144]) ).
fof(f144,plain,
! [X0,X1] : s(X1,s(X1,X0)) = X0,
inference(rectify,[],[f127]) ).
fof(f127,plain,
! [X1,X0] : s(X0,s(X0,X1)) = X1,
inference(rectify,[],[f99]) ).
fof(f99,axiom,
! [X11,X12] : s(X11,s(X11,X12)) = X12,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz7_7) ).
fof(f296,plain,
s_t(s(sK0,s(sK0,sK1)),sK3,sK2),
inference(forward_demodulation,[],[f294,f159]) ).
fof(f294,plain,
s_t(s(sK0,s(sK0,sK1)),s(sK0,s(sK0,sK3)),sK2),
inference(superposition,[],[f192,f159]) ).
fof(f192,plain,
! [X0] : s_t(s(X0,s(sK0,sK1)),s(X0,s(sK0,sK3)),s(X0,s(sK0,sK2))),
inference(unit_resulting_resolution,[],[f158,f160]) ).
fof(f160,plain,
! [X2,X3,X0,X1] :
( s_t(s(X0,X3),s(X0,X1),s(X0,X2))
| ~ s_t(X3,X1,X2) ),
inference(cnf_transformation,[],[f145]) ).
fof(f145,plain,
! [X0,X1,X2,X3] :
( ~ s_t(X3,X1,X2)
| s_t(s(X0,X3),s(X0,X1),s(X0,X2)) ),
inference(rectify,[],[f119]) ).
fof(f119,plain,
! [X1,X2,X0,X3] :
( ~ s_t(X3,X2,X0)
| s_t(s(X1,X3),s(X1,X2),s(X1,X0)) ),
inference(rectify,[],[f105]) ).
fof(f105,axiom,
! [X26,X11,X15,X12] :
( ~ s_t(X12,X15,X26)
| s_t(s(X11,X12),s(X11,X15),s(X11,X26)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz7_15a) ).
fof(f158,plain,
s_t(s(sK0,sK1),s(sK0,sK3),s(sK0,sK2)),
inference(cnf_transformation,[],[f143]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : GEO499+1 : TPTP v8.1.0. Released v7.0.0.
% 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
% 0.12/0.34 % Computer : n020.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 21:54:15 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.48 % (22295)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.48 % (22298)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.19/0.48 % (22303)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.49 % (22311)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 0.19/0.49 % (22309)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.49 % (22309)Instruction limit reached!
% 0.19/0.49 % (22309)------------------------------
% 0.19/0.49 % (22309)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.49 % (22309)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.49 % (22309)Termination reason: Unknown
% 0.19/0.49 % (22309)Termination phase: Preprocessing 1
% 0.19/0.49
% 0.19/0.49 % (22309)Memory used [KB]: 1663
% 0.19/0.49 % (22309)Time elapsed: 0.002 s
% 0.19/0.49 % (22309)Instructions burned: 3 (million)
% 0.19/0.49 % (22309)------------------------------
% 0.19/0.49 % (22309)------------------------------
% 0.19/0.49 % (22295)First to succeed.
% 0.19/0.50 % (22311)Instruction limit reached!
% 0.19/0.50 % (22311)------------------------------
% 0.19/0.50 % (22311)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (22297)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.19/0.50 % (22306)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.50 % (22303)Instruction limit reached!
% 0.19/0.50 % (22303)------------------------------
% 0.19/0.50 % (22303)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (22303)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (22303)Termination reason: Unknown
% 0.19/0.50 % (22303)Termination phase: Property scanning
% 0.19/0.50
% 0.19/0.50 % (22303)Memory used [KB]: 1791
% 0.19/0.50 % (22303)Time elapsed: 0.006 s
% 0.19/0.50 % (22303)Instructions burned: 8 (million)
% 0.19/0.50 % (22303)------------------------------
% 0.19/0.50 % (22303)------------------------------
% 0.19/0.50 % (22306)Instruction limit reached!
% 0.19/0.50 % (22306)------------------------------
% 0.19/0.50 % (22306)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (22295)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 % (22295)------------------------------
% 0.19/0.50 % (22295)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (22295)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (22295)Termination reason: Refutation
% 0.19/0.50
% 0.19/0.50 % (22295)Memory used [KB]: 6140
% 0.19/0.50 % (22295)Time elapsed: 0.097 s
% 0.19/0.50 % (22295)Instructions burned: 5 (million)
% 0.19/0.50 % (22295)------------------------------
% 0.19/0.50 % (22295)------------------------------
% 0.19/0.50 % (22287)Success in time 0.156 s
%------------------------------------------------------------------------------