TSTP Solution File: SET238-6 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SET238-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 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 : n016.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 18:19:54 EDT 2022
% Result : Unsatisfiable 1.40s 0.54s
% Output : Refutation 1.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 5
% Syntax : Number of formulae : 10 ( 7 unt; 0 def)
% Number of atoms : 13 ( 2 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 9 ( 6 ~; 3 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 4 con; 0-3 aty)
% Number of variables : 13 ( 13 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f131,plain,
$false,
inference(subsumption_resolution,[],[f129,f126]) ).
fof(f126,plain,
! [X0,X1] : ~ member(z,cross_product(X0,X1)),
inference(subsumption_resolution,[],[f122,f113]) ).
fof(f113,axiom,
member(z,restrict(xr,x,y)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_corollary_to_restriction_alternate_defn1_1) ).
fof(f122,plain,
! [X0,X1] :
( ~ member(z,cross_product(X0,X1))
| ~ member(z,restrict(xr,x,y)) ),
inference(superposition,[],[f114,f17]) ).
fof(f17,axiom,
! [X0,X1,X4] :
( ordered_pair(first(X4),second(X4)) = X4
| ~ member(X4,cross_product(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cartesian_product4) ).
fof(f114,axiom,
~ member(ordered_pair(first(z),second(z)),restrict(xr,x,y)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_corollary_to_restriction_alternate_defn1_2) ).
fof(f129,plain,
member(z,cross_product(x,y)),
inference(resolution,[],[f120,f21]) ).
fof(f21,axiom,
! [X0,X1,X4] :
( ~ member(X4,intersection(X0,X1))
| member(X4,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection1) ).
fof(f120,plain,
member(z,intersection(cross_product(x,y),xr)),
inference(superposition,[],[f113,f29]) ).
fof(f29,axiom,
! [X0,X1,X5] : restrict(X5,X0,X1) = intersection(cross_product(X0,X1),X5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',restriction2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : SET238-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.04/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.35 % Computer : n016.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 30 13:53:16 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.21/0.51 % (21466)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)
% 0.21/0.51 % (21480)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)
% 0.21/0.52 % (21488)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)
% 0.21/0.52 % (21472)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)
% 0.21/0.53 % (21480)Instruction limit reached!
% 0.21/0.53 % (21480)------------------------------
% 0.21/0.53 % (21480)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53 % (21480)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53 % (21480)Termination reason: Unknown
% 0.21/0.53 % (21472)Refutation not found, incomplete strategy% (21472)------------------------------
% 0.21/0.53 % (21472)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53 % (21480)Termination phase: Finite model building preprocessing
% 0.21/0.53
% 0.21/0.53 % (21480)Memory used [KB]: 1535
% 0.21/0.53 % (21480)Time elapsed: 0.006 s
% 0.21/0.53 % (21480)Instructions burned: 8 (million)
% 0.21/0.53 % (21480)------------------------------
% 0.21/0.53 % (21480)------------------------------
% 0.21/0.53 % (21472)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53 % (21472)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.53
% 0.21/0.53 % (21472)Memory used [KB]: 5884
% 0.21/0.53 % (21472)Time elapsed: 0.082 s
% 0.21/0.53 % (21472)Instructions burned: 2 (million)
% 0.21/0.53 % (21472)------------------------------
% 0.21/0.53 % (21472)------------------------------
% 0.21/0.53 % (21468)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)
% 0.21/0.53 % (21471)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 % (21474)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.40/0.53 % (21470)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 1.40/0.54 % (21494)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.40/0.54 % (21489)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)
% 1.40/0.54 % (21465)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 1.40/0.54 % (21474)First to succeed.
% 1.40/0.54 % (21474)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 % (21474)------------------------------
% 1.40/0.54 % (21474)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.40/0.54 % (21474)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.40/0.54 % (21474)Termination reason: Refutation
% 1.40/0.54
% 1.40/0.54 % (21474)Memory used [KB]: 6012
% 1.40/0.54 % (21474)Time elapsed: 0.132 s
% 1.40/0.54 % (21474)Instructions burned: 4 (million)
% 1.40/0.54 % (21474)------------------------------
% 1.40/0.54 % (21474)------------------------------
% 1.40/0.54 % (21464)Success in time 0.18 s
%------------------------------------------------------------------------------