TSTP Solution File: SET113-7 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SET113-7 : TPTP v8.1.0. Bugfixed v7.3.0.
% 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 : n022.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 18:19:20 EDT 2022
% Result : Unsatisfiable 1.43s 0.54s
% Output : Refutation 1.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 4
% Syntax : Number of formulae : 9 ( 7 unt; 0 def)
% Number of atoms : 11 ( 5 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 5 ( 3 ~; 2 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-2 aty)
% Number of variables : 2 ( 2 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f166,plain,
$false,
inference(subsumption_resolution,[],[f165,f164]) ).
fof(f164,plain,
~ member(x,cross_product(universal_class,universal_class)),
inference(backward_demodulation,[],[f160,f163]) ).
fof(f163,plain,
x = ordered_pair(first(x),second(x)),
inference(unit_resulting_resolution,[],[f161,f156]) ).
fof(f156,axiom,
! [X0] :
( ordered_pair(first(X0),second(X0)) = X0
| first(X0) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_of_1st_and_2nd_4) ).
fof(f161,axiom,
x != first(x),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_unique_1st_in_pair_of_non_sets) ).
fof(f160,axiom,
~ member(ordered_pair(first(x),second(x)),cross_product(universal_class,universal_class)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_unique_1st_and_2nd_in_pair_of_non_sets1_1) ).
fof(f165,plain,
member(x,cross_product(universal_class,universal_class)),
inference(forward_demodulation,[],[f162,f163]) ).
fof(f162,plain,
member(ordered_pair(first(x),second(x)),cross_product(universal_class,universal_class)),
inference(unit_resulting_resolution,[],[f161,f154]) ).
fof(f154,axiom,
! [X0] :
( member(ordered_pair(first(X0),second(X0)),cross_product(universal_class,universal_class))
| first(X0) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_of_1st_and_2nd_2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SET113-7 : TPTP v8.1.0. Bugfixed v7.3.0.
% 0.06/0.13 % 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 : n022.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 : Tue Aug 30 13:20:11 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.50 % (11420)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)
% 0.19/0.51 % (11424)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)
% 0.19/0.52 % (11420)Instruction limit reached!
% 0.19/0.52 % (11420)------------------------------
% 0.19/0.52 % (11420)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (11420)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (11420)Termination reason: Unknown
% 0.19/0.52 % (11420)Termination phase: Property scanning
% 0.19/0.52
% 0.19/0.52 % (11420)Memory used [KB]: 1407
% 0.19/0.52 % (11420)Time elapsed: 0.005 s
% 0.19/0.52 % (11420)Instructions burned: 4 (million)
% 0.19/0.52 % (11420)------------------------------
% 0.19/0.52 % (11420)------------------------------
% 1.29/0.52 % (11413)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)
% 1.29/0.52 % (11434)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)
% 1.29/0.52 % (11428)lrs+1_1:1_aac=none:add=large:anc=all_dependent:cond=fast:ep=RST:fsr=off:lma=on:nm=2:sos=on:sp=reverse_arity:stl=30:uhcvi=on:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.29/0.52 % (11428)Instruction limit reached!
% 1.29/0.52 % (11428)------------------------------
% 1.29/0.52 % (11428)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.29/0.52 % (11428)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.29/0.52 % (11428)Termination reason: Unknown
% 1.29/0.52 % (11428)Termination phase: Function definition elimination
% 1.29/0.52
% 1.29/0.52 % (11428)Memory used [KB]: 1407
% 1.29/0.52 % (11428)Time elapsed: 0.002 s
% 1.29/0.52 % (11428)Instructions burned: 2 (million)
% 1.29/0.52 % (11428)------------------------------
% 1.29/0.52 % (11428)------------------------------
% 1.29/0.53 % (11436)dis+10_1:1_add=large:alpa=false:anc=none:fd=off:lcm=reverse:nwc=5.0:sd=2:sgt=20:ss=included:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/46Mi)
% 1.29/0.53 % (11416)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)
% 1.29/0.53 % (11415)lrs+10_1:1_bd=off:drc=off:lcm=reverse:nwc=5.0:sd=1:sgt=16:spb=goal_then_units:ss=axioms:to=lpo:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/43Mi)
% 1.29/0.53 % (11416)First to succeed.
% 1.29/0.53 % (11435)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)
% 1.29/0.53 % (11422)lrs+1004_1:734_av=off:awrs=converge:awrsf=70:br=off:ep=RSTC:erd=off:gs=on:nwc=3.0:s2a=on:s2agt=16:sp=occurrence:updr=off:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 1.43/0.53 % (11418)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)
% 1.43/0.53 % (11413)Also succeeded, but the first one will report.
% 1.43/0.54 % (11422)Instruction limit reached!
% 1.43/0.54 % (11422)------------------------------
% 1.43/0.54 % (11422)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.43/0.54 % (11422)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.43/0.54 % (11422)Termination reason: Unknown
% 1.43/0.54 % (11422)Termination phase: Property scanning
% 1.43/0.54
% 1.43/0.54 % (11422)Memory used [KB]: 1407
% 1.43/0.54 % (11422)Time elapsed: 0.004 s
% 1.43/0.54 % (11422)Instructions burned: 6 (million)
% 1.43/0.54 % (11422)------------------------------
% 1.43/0.54 % (11422)------------------------------
% 1.43/0.54 % (11424)Instruction limit reached!
% 1.43/0.54 % (11424)------------------------------
% 1.43/0.54 % (11424)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.43/0.54 % (11424)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.43/0.54 % (11424)Termination reason: Unknown
% 1.43/0.54 % (11424)Termination phase: Saturation
% 1.43/0.54
% 1.43/0.54 % (11424)Memory used [KB]: 6012
% 1.43/0.54 % (11424)Time elapsed: 0.004 s
% 1.43/0.54 % (11424)Instructions burned: 6 (million)
% 1.43/0.54 % (11424)------------------------------
% 1.43/0.54 % (11424)------------------------------
% 1.43/0.54 % (11416)Refutation found. Thanks to Tanya!
% 1.43/0.54 % SZS status Unsatisfiable for theBenchmark
% 1.43/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 1.43/0.54 % (11416)------------------------------
% 1.43/0.54 % (11416)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.43/0.54 % (11416)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.43/0.54 % (11416)Termination reason: Refutation
% 1.43/0.54
% 1.43/0.54 % (11416)Memory used [KB]: 6012
% 1.43/0.54 % (11416)Time elapsed: 0.128 s
% 1.43/0.54 % (11416)Instructions burned: 2 (million)
% 1.43/0.54 % (11416)------------------------------
% 1.43/0.54 % (11416)------------------------------
% 1.43/0.54 % (11411)Success in time 0.192 s
%------------------------------------------------------------------------------