TSTP Solution File: NUM027-1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : NUM027-1 : 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 : n021.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 17:56:39 EDT 2022
% Result : Unsatisfiable 0.15s 0.49s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 12
% Syntax : Number of formulae : 26 ( 10 unt; 0 def)
% Number of atoms : 45 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 40 ( 21 ~; 17 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 3 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 17 ( 17 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f159,plain,
$false,
inference(avatar_sat_refutation,[],[f90,f103,f156]) ).
fof(f156,plain,
~ spl0_3,
inference(avatar_contradiction_clause,[],[f155]) ).
fof(f155,plain,
( $false
| ~ spl0_3 ),
inference(subsumption_resolution,[],[f146,f127]) ).
fof(f127,plain,
( ! [X0] : equalish(multiply(a,X0),multiply(b,X0))
| ~ spl0_3 ),
inference(unit_resulting_resolution,[],[f89,f13]) ).
fof(f13,axiom,
! [X2,X0,X1] :
( equalish(multiply(X0,X2),multiply(X1,X2))
| ~ equalish(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equality_preserved_over_times) ).
fof(f89,plain,
( equalish(a,b)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f87]) ).
fof(f87,plain,
( spl0_3
<=> equalish(a,b) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f146,plain,
~ equalish(multiply(a,c),multiply(b,c)),
inference(unit_resulting_resolution,[],[f39,f11]) ).
fof(f11,axiom,
! [X3,X4] :
( ~ equalish(X3,X4)
| equalish(X4,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',symmetry) ).
fof(f39,plain,
~ equalish(multiply(b,c),multiply(a,c)),
inference(resolution,[],[f20,f14]) ).
fof(f14,axiom,
! [X0,X1] :
( ~ less(X0,X1)
| ~ equalish(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_less_and_equal) ).
fof(f20,axiom,
less(multiply(b,c),multiply(a,c)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_times_c_less_than_a_times_c) ).
fof(f103,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f102]) ).
fof(f102,plain,
( $false
| ~ spl0_1 ),
inference(subsumption_resolution,[],[f94,f37]) ).
fof(f37,plain,
~ less(multiply(a,c),multiply(b,c)),
inference(unit_resulting_resolution,[],[f16,f20,f7]) ).
fof(f7,axiom,
! [X2,X0,X1] :
( ~ less(X2,X0)
| less(X2,X1)
| ~ less(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitivity_of_less) ).
fof(f16,axiom,
! [X0] : ~ less(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',number_not_less_than_itself) ).
fof(f94,plain,
( less(multiply(a,c),multiply(b,c))
| ~ spl0_1 ),
inference(unit_resulting_resolution,[],[f21,f60,f18]) ).
fof(f18,axiom,
! [X2,X0,X1] :
( less(multiply(X0,X2),multiply(X1,X2))
| ~ less(X0,X1)
| equalish(X2,n0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply_lemma) ).
fof(f60,plain,
( less(a,b)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f58]) ).
fof(f58,plain,
( spl0_1
<=> less(a,b) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f21,axiom,
~ equalish(c,n0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_c_is_0) ).
fof(f90,plain,
( spl0_3
| spl0_1 ),
inference(avatar_split_clause,[],[f31,f58,f87]) ).
fof(f31,plain,
( less(a,b)
| equalish(a,b) ),
inference(resolution,[],[f19,f15]) ).
fof(f15,axiom,
! [X0,X1] :
( less(X0,X1)
| less(X1,X0)
| equalish(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',numbers_either_less_or_equal) ).
fof(f19,axiom,
~ less(b,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_not_less_than_a) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10 % Problem : NUM027-1 : TPTP v8.1.0. Bugfixed v4.0.0.
% 0.02/0.10 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.10/0.30 % Computer : n021.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Tue Aug 30 05:47:10 EDT 2022
% 0.10/0.30 % CPUTime :
% 0.15/0.46 % (10523)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)
% 0.15/0.47 % (10531)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)
% 0.15/0.47 % (10518)dis+21_1:1_av=off:fd=off:lcm=predicate:sos=on:spb=goal:urr=ec_only:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/42Mi)
% 0.15/0.47 % (10540)lrs+1011_1:1_aac=none:bsr=unit_only:ep=R:sac=on:sos=all:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.15/0.48 % (10532)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)
% 0.15/0.48 % (10539)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)
% 0.15/0.48 % (10525)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)
% 0.15/0.48 % (10539)First to succeed.
% 0.15/0.48 % (10521)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)
% 0.15/0.48 TRYING [1]
% 0.15/0.48 TRYING [2]
% 0.15/0.48 TRYING [3]
% 0.15/0.49 % (10532)Instruction limit reached!
% 0.15/0.49 % (10532)------------------------------
% 0.15/0.49 % (10532)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.49 % (10524)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)
% 0.15/0.49 % (10532)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.49 % (10532)Termination reason: Unknown
% 0.15/0.49 % (10532)Termination phase: Finite model building constraint generation
% 0.15/0.49
% 0.15/0.49 % (10532)Memory used [KB]: 6012
% 0.15/0.49 % (10532)Time elapsed: 0.066 s
% 0.15/0.49 % (10532)Instructions burned: 6 (million)
% 0.15/0.49 % (10532)------------------------------
% 0.15/0.49 % (10532)------------------------------
% 0.15/0.49 % (10539)Refutation found. Thanks to Tanya!
% 0.15/0.49 % SZS status Unsatisfiable for theBenchmark
% 0.15/0.49 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.49 % (10539)------------------------------
% 0.15/0.49 % (10539)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.49 % (10539)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.49 % (10539)Termination reason: Refutation
% 0.15/0.49
% 0.15/0.49 % (10539)Memory used [KB]: 5884
% 0.15/0.49 % (10539)Time elapsed: 0.117 s
% 0.15/0.49 % (10539)Instructions burned: 4 (million)
% 0.15/0.49 % (10539)------------------------------
% 0.15/0.49 % (10539)------------------------------
% 0.15/0.49 % (10516)Success in time 0.181 s
%------------------------------------------------------------------------------