TSTP Solution File: ARI601_1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : ARI601_1 : TPTP v8.1.0. Released v5.1.0.
% 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 : n028.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 15:46:34 EDT 2022
% Result : Theorem 0.20s 0.51s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 5
% Syntax : Number of formulae : 16 ( 8 unt; 2 typ; 0 def)
% Number of atoms : 26 ( 1 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 22 ( 10 ~; 2 |; 4 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number arithmetic : 68 ( 24 atm; 10 fun; 23 num; 11 var)
% Number of types : 1 ( 0 usr; 1 ari)
% Number of type conns : 1 ( 1 >; 0 *; 0 +; 0 <<)
% Number of predicates : 4 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 2 usr; 4 con; 0-2 aty)
% Number of variables : 11 ( 11 !; 0 ?; 11 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_0,type,
a: $int ).
tff(func_def_1,type,
f: $int > $int ).
tff(f54,plain,
$false,
inference(subsumption_resolution,[],[f52,f19]) ).
tff(f19,plain,
$less(3,a),
inference(cnf_transformation,[],[f17]) ).
tff(f17,plain,
( ! [X0: $int] : $less(X0,f(X0))
& $less(3,a)
& ~ $less(4,f($sum(a,1))) ),
inference(flattening,[],[f16]) ).
tff(f16,plain,
( ~ $less(4,f($sum(a,1)))
& $less(3,a)
& ! [X0: $int] : $less(X0,f(X0)) ),
inference(ennf_transformation,[],[f3]) ).
tff(f3,plain,
~ ( ! [X0: $int] : $less(X0,f(X0))
=> ( $less(3,a)
=> $less(4,f($sum(a,1))) ) ),
inference(theory_normalization,[],[f2]) ).
tff(f2,negated_conjecture,
~ ( ! [X0: $int] : $greater(f(X0),X0)
=> ( $less(3,a)
=> $less(4,f($sum(a,1))) ) ),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
( ! [X0: $int] : $greater(f(X0),X0)
=> ( $less(3,a)
=> $less(4,f($sum(a,1))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fX_gt_X_implies_ineq) ).
tff(f52,plain,
~ $less(3,a),
inference(cancellation,[],[f51]) ).
tff(f51,plain,
~ $less(4,$sum(1,a)),
inference(unit_resulting_resolution,[],[f20,f21,f10]) ).
tff(f10,plain,
! [X2: $int,X0: $int,X1: $int] :
( $less(X0,X2)
| ~ $less(X0,X1)
| ~ $less(X1,X2) ),
introduced(theory_axiom_148,[]) ).
tff(f21,plain,
~ $less(4,f($sum(1,a))),
inference(forward_demodulation,[],[f18,f4]) ).
tff(f4,plain,
! [X0: $int,X1: $int] : ( $sum(X0,X1) = $sum(X1,X0) ),
introduced(theory_axiom_140,[]) ).
tff(f18,plain,
~ $less(4,f($sum(a,1))),
inference(cnf_transformation,[],[f17]) ).
tff(f20,plain,
! [X0: $int] : $less(X0,f(X0)),
inference(cnf_transformation,[],[f17]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : ARI601=1 : TPTP v8.1.0. Released v5.1.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34 % Computer : n028.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 : Mon Aug 29 15:59:47 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.49 % (18863)lrs+10_1:8_ep=R:erd=off:fs=off:fsr=off:gve=force:nwc=2.0:uwa=one_side_interpreted:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.50 % (18879)lrs+1002_1:1_br=off:canc=force:drc=off:s2a=on:sos=on:sp=reverse_frequency:urr=on:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/42Mi)
% 0.20/0.50 % (18866)lrs+10_1:1_ep=R:gve=force:plsq=on:plsqr=32,1:uwa=one_side_interpreted:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.50 % (18866)Instruction limit reached!
% 0.20/0.50 % (18866)------------------------------
% 0.20/0.50 % (18866)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50 % (18866)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50 % (18866)Termination reason: Unknown
% 0.20/0.50 % (18866)Termination phase: Equality proxy
% 0.20/0.50
% 0.20/0.50 % (18866)Memory used [KB]: 895
% 0.20/0.50 % (18866)Time elapsed: 0.002 s
% 0.20/0.50 % (18866)Instructions burned: 2 (million)
% 0.20/0.50 % (18866)------------------------------
% 0.20/0.50 % (18866)------------------------------
% 0.20/0.50 % (18863)Instruction limit reached!
% 0.20/0.50 % (18863)------------------------------
% 0.20/0.50 % (18863)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (18871)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.20/0.51 % (18863)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (18863)Termination reason: Unknown
% 0.20/0.51 % (18865)dis+32_1:1_bd=off:nm=4:sos=on:ss=included:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.20/0.51 % (18863)Termination phase: Saturation
% 0.20/0.51
% 0.20/0.51 % (18863)Memory used [KB]: 5373
% 0.20/0.51 % (18863)Time elapsed: 0.004 s
% 0.20/0.51 % (18863)Instructions burned: 2 (million)
% 0.20/0.51 % (18863)------------------------------
% 0.20/0.51 % (18863)------------------------------
% 0.20/0.51 % (18868)lrs+22_1:1_amm=sco:fsr=off:gve=force:sos=on:uwa=all:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.51 % (18879)First to succeed.
% 0.20/0.51 % (18858)ott+1011_1:2_br=off:bs=unit_only:bsr=unit_only:nwc=5.0:s2a=on:s2agt=32:urr=on:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.20/0.51 % (18879)Refutation found. Thanks to Tanya!
% 0.20/0.51 % SZS status Theorem for theBenchmark
% 0.20/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.51 % (18879)------------------------------
% 0.20/0.51 % (18879)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (18879)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (18879)Termination reason: Refutation
% 0.20/0.51
% 0.20/0.51 % (18879)Memory used [KB]: 5500
% 0.20/0.51 % (18879)Time elapsed: 0.108 s
% 0.20/0.51 % (18879)Instructions burned: 3 (million)
% 0.20/0.51 % (18879)------------------------------
% 0.20/0.51 % (18879)------------------------------
% 0.20/0.51 % (18853)Success in time 0.159 s
%------------------------------------------------------------------------------