TSTP Solution File: SET643+3 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SET643+3 : TPTP v8.1.0. Released v2.2.0.
% 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 : n011.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 18:21:43 EDT 2022
% Result : Theorem 1.24s 0.53s
% Output : Refutation 1.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 6
% Syntax : Number of formulae : 20 ( 7 unt; 0 def)
% Number of atoms : 55 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 57 ( 22 ~; 14 |; 10 &)
% ( 0 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 28 ( 22 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f248,plain,
$false,
inference(unit_resulting_resolution,[],[f57,f58,f56,f59,f80,f79]) ).
fof(f79,plain,
! [X2,X0,X1] :
( ~ subset(X0,cross_product(X1,X2))
| ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ilf_type(X0,relation_type(X1,X2)) ),
inference(cnf_transformation,[],[f30]) ).
fof(f30,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ! [X2] :
( ~ subset(X0,cross_product(X1,X2))
| ~ ilf_type(X2,set_type)
| ilf_type(X0,relation_type(X1,X2)) )
| ~ ilf_type(X1,set_type) ) ),
inference(flattening,[],[f29]) ).
fof(f29,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ilf_type(X0,relation_type(X1,X2))
| ~ subset(X0,cross_product(X1,X2))
| ~ ilf_type(X2,set_type) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ( subset(X0,cross_product(X1,X2))
=> ilf_type(X0,relation_type(X1,X2)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p1) ).
fof(f80,plain,
! [X0] : subset(X0,X0),
inference(subsumption_resolution,[],[f62,f56]) ).
fof(f62,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| subset(X0,X0) ),
inference(cnf_transformation,[],[f24]) ).
fof(f24,plain,
! [X0] :
( subset(X0,X0)
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> subset(X0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p10) ).
fof(f59,plain,
~ ilf_type(cross_product(sK0,sK1),relation_type(sK0,sK1)),
inference(cnf_transformation,[],[f40]) ).
fof(f40,plain,
( ~ ilf_type(cross_product(sK0,sK1),relation_type(sK0,sK1))
& ilf_type(sK1,set_type)
& ilf_type(sK0,set_type) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f35,f39,f38]) ).
fof(f38,plain,
( ? [X0] :
( ? [X1] :
( ~ ilf_type(cross_product(X0,X1),relation_type(X0,X1))
& ilf_type(X1,set_type) )
& ilf_type(X0,set_type) )
=> ( ? [X1] :
( ~ ilf_type(cross_product(sK0,X1),relation_type(sK0,X1))
& ilf_type(X1,set_type) )
& ilf_type(sK0,set_type) ) ),
introduced(choice_axiom,[]) ).
fof(f39,plain,
( ? [X1] :
( ~ ilf_type(cross_product(sK0,X1),relation_type(sK0,X1))
& ilf_type(X1,set_type) )
=> ( ~ ilf_type(cross_product(sK0,sK1),relation_type(sK0,sK1))
& ilf_type(sK1,set_type) ) ),
introduced(choice_axiom,[]) ).
fof(f35,plain,
? [X0] :
( ? [X1] :
( ~ ilf_type(cross_product(X0,X1),relation_type(X0,X1))
& ilf_type(X1,set_type) )
& ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,negated_conjecture,
~ ! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ilf_type(cross_product(X0,X1),relation_type(X0,X1)) ) ),
inference(negated_conjecture,[],[f20]) ).
fof(f20,conjecture,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ilf_type(cross_product(X0,X1),relation_type(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_relset_1_5) ).
fof(f56,plain,
! [X0] : ilf_type(X0,set_type),
inference(cnf_transformation,[],[f19]) ).
fof(f19,axiom,
! [X0] : ilf_type(X0,set_type),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p19) ).
fof(f58,plain,
ilf_type(sK1,set_type),
inference(cnf_transformation,[],[f40]) ).
fof(f57,plain,
ilf_type(sK0,set_type),
inference(cnf_transformation,[],[f40]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SET643+3 : TPTP v8.1.0. Released v2.2.0.
% 0.07/0.14 % 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 : n011.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 14:06:55 EDT 2022
% 0.13/0.35 % CPUTime :
% 1.24/0.51 % (30487)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 1.24/0.52 % (30462)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 1.24/0.52 % (30462)Refutation not found, incomplete strategy% (30462)------------------------------
% 1.24/0.52 % (30462)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.24/0.52 % (30462)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.24/0.52 % (30462)Termination reason: Refutation not found, incomplete strategy
% 1.24/0.52
% 1.24/0.52 % (30462)Memory used [KB]: 5884
% 1.24/0.52 % (30462)Time elapsed: 0.102 s
% 1.24/0.52 % (30462)Instructions burned: 2 (million)
% 1.24/0.52 % (30462)------------------------------
% 1.24/0.52 % (30462)------------------------------
% 1.24/0.52 % (30471)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.24/0.52 % (30465)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 1.24/0.52 % (30466)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 1.24/0.52 % (30471)First to succeed.
% 1.24/0.53 % (30460)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.24/0.53 % (30460)Instruction limit reached!
% 1.24/0.53 % (30460)------------------------------
% 1.24/0.53 % (30460)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.24/0.53 % (30460)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.24/0.53 % (30460)Termination reason: Unknown
% 1.24/0.53 % (30460)Termination phase: Saturation
% 1.24/0.53
% 1.24/0.53 % (30460)Memory used [KB]: 6012
% 1.24/0.53 % (30460)Time elapsed: 0.003 s
% 1.24/0.53 % (30460)Instructions burned: 4 (million)
% 1.24/0.53 % (30460)------------------------------
% 1.24/0.53 % (30460)------------------------------
% 1.24/0.53 % (30471)Refutation found. Thanks to Tanya!
% 1.24/0.53 % SZS status Theorem for theBenchmark
% 1.24/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 1.24/0.53 % (30471)------------------------------
% 1.24/0.53 % (30471)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.24/0.53 % (30471)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.24/0.53 % (30471)Termination reason: Refutation
% 1.24/0.53
% 1.24/0.53 % (30471)Memory used [KB]: 6140
% 1.24/0.53 % (30471)Time elapsed: 0.099 s
% 1.24/0.53 % (30471)Instructions burned: 8 (million)
% 1.24/0.53 % (30471)------------------------------
% 1.24/0.53 % (30471)------------------------------
% 1.24/0.53 % (30457)Success in time 0.17 s
%------------------------------------------------------------------------------