TSTP Solution File: NUM024-1 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : NUM024-1 : TPTP v8.1.0. Bugfixed v4.0.0.
% 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 : n003.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 18:03:18 EDT 2022
% Result : Unsatisfiable 0.19s 0.52s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 8
% Syntax : Number of formulae : 16 ( 8 unt; 0 def)
% Number of atoms : 25 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 20 ( 11 ~; 9 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 24 ( 24 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f286,plain,
$false,
inference(resolution,[],[f285,f15]) ).
fof(f15,axiom,
less(a,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',impossible_a_is_less_than_itself) ).
fof(f285,plain,
! [X0] : ~ less(X0,X0),
inference(subsumption_resolution,[],[f278,f16]) ).
fof(f16,axiom,
! [X0] : ~ equalish(successor(X0),n0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_a_contradiction) ).
fof(f278,plain,
! [X0] :
( ~ less(X0,X0)
| equalish(successor(predecessor_of_1st_minus_2nd(X0,X0)),n0) ),
inference(resolution,[],[f216,f9]) ).
fof(f9,axiom,
! [X0,X1] :
( equalish(add(successor(predecessor_of_1st_minus_2nd(X1,X0)),X0),X1)
| ~ less(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_lemma) ).
fof(f216,plain,
! [X8,X9] :
( ~ equalish(add(X8,X9),X9)
| equalish(X8,n0) ),
inference(resolution,[],[f60,f13]) ).
fof(f13,axiom,
! [X2,X0,X1] :
( ~ equalish(add(X0,X1),add(X2,X1))
| equalish(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',plus_substitution) ).
fof(f60,plain,
! [X0,X1] :
( equalish(X0,add(n0,X1))
| ~ equalish(X0,X1) ),
inference(resolution,[],[f57,f12]) ).
fof(f12,axiom,
! [X3,X4,X5] :
( ~ equalish(X4,X5)
| ~ equalish(X3,X4)
| equalish(X3,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitivity) ).
fof(f57,plain,
! [X2] : equalish(X2,add(n0,X2)),
inference(resolution,[],[f53,f11]) ).
fof(f11,axiom,
! [X3,X4] :
( ~ equalish(X3,X4)
| equalish(X4,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',symmetry) ).
fof(f53,plain,
! [X1] : equalish(add(n0,X1),X1),
inference(resolution,[],[f37,f14]) ).
fof(f14,axiom,
! [X0,X1] : equalish(add(X0,X1),add(X1,X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_of_plus) ).
fof(f37,plain,
! [X2,X3] :
( ~ equalish(X2,add(X3,n0))
| equalish(X2,X3) ),
inference(resolution,[],[f12,f1]) ).
fof(f1,axiom,
! [X0] : equalish(add(X0,n0),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',adding_zero) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM024-1 : TPTP v8.1.0. Bugfixed v4.0.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n003.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 05:50:37 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.44 % (8764)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.19/0.44 TRYING [1]
% 0.19/0.44 TRYING [2]
% 0.19/0.44 TRYING [3]
% 0.19/0.45 TRYING [4]
% 0.19/0.45 TRYING [5]
% 0.19/0.47 TRYING [6]
% 0.19/0.50 % (8780)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.51 % (8776)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.51 % (8773)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)
% 0.19/0.52 % (8790)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.19/0.52 % (8766)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)
% 0.19/0.52 % (8790)First to succeed.
% 0.19/0.52 % (8790)Refutation found. Thanks to Tanya!
% 0.19/0.52 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.52 % (8790)------------------------------
% 0.19/0.52 % (8790)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (8790)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (8790)Termination reason: Refutation
% 0.19/0.52
% 0.19/0.52 % (8790)Memory used [KB]: 5500
% 0.19/0.52 % (8790)Time elapsed: 0.121 s
% 0.19/0.52 % (8790)Instructions burned: 9 (million)
% 0.19/0.52 % (8790)------------------------------
% 0.19/0.52 % (8790)------------------------------
% 0.19/0.52 % (8758)Success in time 0.176 s
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