TSTP Solution File: NUM024-1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---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_uns --cores 0 -t %d %s
% Computer : n001.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 17:56:38 EDT 2022
% Result : Unsatisfiable 1.40s 0.54s
% Output : Refutation 1.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 8
% Syntax : Number of formulae : 17 ( 9 unt; 0 def)
% Number of atoms : 27 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 21 ( 11 ~; 10 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 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 : 27 ( 27 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f333,plain,
$false,
inference(subsumption_resolution,[],[f332,f16]) ).
fof(f16,axiom,
! [X0] : ~ equalish(successor(X0),n0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_a_contradiction) ).
fof(f332,plain,
equalish(successor(predecessor_of_1st_minus_2nd(a,a)),n0),
inference(resolution,[],[f186,f115]) ).
fof(f115,plain,
! [X20] :
( ~ equalish(a,add(X20,a))
| equalish(successor(predecessor_of_1st_minus_2nd(a,a)),X20) ),
inference(resolution,[],[f45,f51]) ).
fof(f51,plain,
equalish(add(successor(predecessor_of_1st_minus_2nd(a,a)),a),a),
inference(resolution,[],[f9,f15]) ).
fof(f15,axiom,
less(a,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',impossible_a_is_less_than_itself) ).
fof(f9,axiom,
! [X0,X1] :
( ~ less(X0,X1)
| equalish(add(successor(predecessor_of_1st_minus_2nd(X1,X0)),X0),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_lemma) ).
fof(f45,plain,
! [X3,X6,X4,X5] :
( ~ equalish(add(X3,X6),X5)
| equalish(X3,X4)
| ~ equalish(X5,add(X4,X6)) ),
inference(resolution,[],[f13,f12]) ).
fof(f12,axiom,
! [X3,X4,X5] :
( equalish(X3,X5)
| ~ equalish(X4,X5)
| ~ equalish(X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitivity) ).
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(f186,plain,
! [X1] : equalish(X1,add(n0,X1)),
inference(resolution,[],[f113,f85]) ).
fof(f85,plain,
! [X1] : equalish(X1,add(X1,n0)),
inference(resolution,[],[f46,f1]) ).
fof(f1,axiom,
! [X0] : equalish(add(X0,n0),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',adding_zero) ).
fof(f46,plain,
! [X8,X9,X7] :
( ~ equalish(add(X8,X9),add(X7,X9))
| equalish(X7,X8) ),
inference(resolution,[],[f13,f11]) ).
fof(f11,axiom,
! [X3,X4] :
( equalish(X4,X3)
| ~ equalish(X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',symmetry) ).
fof(f113,plain,
! [X16,X14,X15] :
( ~ equalish(add(X16,X14),add(X15,X16))
| equalish(X14,X15) ),
inference(resolution,[],[f45,f14]) ).
fof(f14,axiom,
! [X0,X1] : equalish(add(X0,X1),add(X1,X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_of_plus) ).
%------------------------------------------------------------------------------
%----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_uns --cores 0 -t %d %s
% 0.13/0.34 % Computer : n001.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 06:11:46 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.50 % (20340)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.19/0.51 % (20346)dis+4_1:1_bd=off:cond=fast:fde=unused:lcm=reverse:lma=on:nicw=on:nwc=2.0:s2a=on:s2agt=16:sac=on:sp=frequency:i=23:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/23Mi)
% 0.19/0.52 % (20359)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=97:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/97Mi)
% 0.19/0.52 % (20350)dis+1011_3:29_av=off:awrs=decay:awrsf=32:bce=on:drc=off:fde=unused:gsp=on:irw=on:nwc=2.0:spb=goal_then_units:updr=off:urr=ec_only:i=29:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/29Mi)
% 0.19/0.52 % (20339)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/34Mi)
% 0.19/0.52 % (20342)lrs+1010_1:4_amm=off:bce=on:sd=1:sos=on:ss=included:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.52 % (20365)lrs+10_1:1_sos=all:ss=axioms:st=1.5:i=20:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/20Mi)
% 0.19/0.52 % (20357)lrs+10_1:7_av=off:awrs=converge:awrsf=40:br=off:bsd=on:cond=on:drc=off:nwc=3.0:plsq=on:plsqc=1:s2a=on:s2agt=16:to=lpo:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.19/0.52 % (20342)Refutation not found, incomplete strategy% (20342)------------------------------
% 0.19/0.52 % (20342)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (20342)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.40/0.52 % (20342)Termination reason: Refutation not found, incomplete strategy
% 1.40/0.52
% 1.40/0.52 % (20342)Memory used [KB]: 5884
% 1.40/0.52 % (20342)Time elapsed: 0.070 s
% 1.40/0.52 % (20342)Instructions burned: 1 (million)
% 1.40/0.52 % (20342)------------------------------
% 1.40/0.52 % (20342)------------------------------
% 1.40/0.53 % (20357)Instruction limit reached!
% 1.40/0.53 % (20357)------------------------------
% 1.40/0.53 % (20357)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.40/0.53 % (20346)First to succeed.
% 1.40/0.53 % (20335)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 1.40/0.53 % (20341)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 1.40/0.53 % (20348)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=5:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 1.40/0.53 % (20348)Instruction limit reached!
% 1.40/0.53 % (20348)------------------------------
% 1.40/0.53 % (20348)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.40/0.53 % (20348)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.40/0.53 % (20348)Termination reason: Unknown
% 1.40/0.53 % (20348)Termination phase: Saturation
% 1.40/0.53
% 1.40/0.53 % (20348)Memory used [KB]: 5884
% 1.40/0.53 % (20348)Time elapsed: 0.129 s
% 1.40/0.53 % (20348)Instructions burned: 6 (million)
% 1.40/0.53 % (20348)------------------------------
% 1.40/0.53 % (20348)------------------------------
% 1.40/0.53 % (20337)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 1.40/0.53 % (20351)fmb+10_1:1_fmbes=contour:fmbsr=2.0:fmbsso=input_usage:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 1.40/0.54 % (20357)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.40/0.54 % (20357)Termination reason: Unknown
% 1.40/0.54 % (20357)Termination phase: Saturation
% 1.40/0.54
% 1.40/0.54 % (20357)Memory used [KB]: 1407
% 1.40/0.54 % (20357)Time elapsed: 0.120 s
% 1.40/0.54 % (20357)Instructions burned: 6 (million)
% 1.40/0.54 % (20357)------------------------------
% 1.40/0.54 % (20357)------------------------------
% 1.40/0.54 % (20343)lrs+1011_1:1_atotf=0.0306256:ep=RST:mep=off:nm=0:sos=all:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.40/0.54 % (20356)lrs+1011_1:1_afp=100000:afr=on:amm=sco:bd=preordered:cond=fast:newcnf=on:nm=4:sos=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.40/0.54 % (20346)Refutation found. Thanks to Tanya!
% 1.40/0.54 % SZS status Unsatisfiable for theBenchmark
% 1.40/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 1.40/0.54 % (20346)------------------------------
% 1.40/0.54 % (20346)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.40/0.54 % (20346)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.40/0.54 % (20346)Termination reason: Refutation
% 1.40/0.54
% 1.40/0.54 % (20346)Memory used [KB]: 6012
% 1.40/0.54 % (20346)Time elapsed: 0.128 s
% 1.40/0.54 % (20346)Instructions burned: 16 (million)
% 1.40/0.54 % (20346)------------------------------
% 1.40/0.54 % (20346)------------------------------
% 1.40/0.54 % (20330)Success in time 0.191 s
%------------------------------------------------------------------------------