TSTP Solution File: SEU295+3 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SEU295+3 : TPTP v8.1.0. Released v3.2.0.
% 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 : n027.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 18:28:27 EDT 2022
% Result : Theorem 1.32s 0.51s
% Output : Refutation 1.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 4
% Syntax : Number of formulae : 18 ( 8 unt; 0 def)
% Number of atoms : 30 ( 4 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 22 ( 10 ~; 2 |; 5 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 26 ( 20 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f336,plain,
$false,
inference(unit_resulting_resolution,[],[f230,f319,f192]) ).
fof(f192,plain,
! [X0,X1] :
( finite(set_intersection2(X1,X0))
| ~ finite(X0) ),
inference(cnf_transformation,[],[f105]) ).
fof(f105,plain,
! [X0,X1] :
( finite(set_intersection2(X1,X0))
| ~ finite(X0) ),
inference(ennf_transformation,[],[f70]) ).
fof(f70,plain,
! [X0,X1] :
( finite(X0)
=> finite(set_intersection2(X1,X0)) ),
inference(rectify,[],[f15]) ).
fof(f15,axiom,
! [X1,X0] :
( finite(X1)
=> finite(set_intersection2(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc10_finset_1) ).
fof(f319,plain,
~ finite(set_intersection2(sK8,sK9)),
inference(forward_demodulation,[],[f231,f295]) ).
fof(f295,plain,
! [X0,X1] : set_intersection2(X0,X1) = set_intersection2(X1,X0),
inference(cnf_transformation,[],[f183]) ).
fof(f183,plain,
! [X0,X1] : set_intersection2(X0,X1) = set_intersection2(X1,X0),
inference(rectify,[],[f69]) ).
fof(f69,plain,
! [X1,X0] : set_intersection2(X0,X1) = set_intersection2(X1,X0),
inference(rectify,[],[f13]) ).
fof(f13,axiom,
! [X1,X0] : set_intersection2(X0,X1) = set_intersection2(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_k3_xboole_0) ).
fof(f231,plain,
~ finite(set_intersection2(sK9,sK8)),
inference(cnf_transformation,[],[f148]) ).
fof(f148,plain,
( ~ finite(set_intersection2(sK9,sK8))
& finite(sK9) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8,sK9])],[f146,f147]) ).
fof(f147,plain,
( ? [X0,X1] :
( ~ finite(set_intersection2(X1,X0))
& finite(X1) )
=> ( ~ finite(set_intersection2(sK9,sK8))
& finite(sK9) ) ),
introduced(choice_axiom,[]) ).
fof(f146,plain,
? [X0,X1] :
( ~ finite(set_intersection2(X1,X0))
& finite(X1) ),
inference(rectify,[],[f97]) ).
fof(f97,plain,
? [X1,X0] :
( ~ finite(set_intersection2(X0,X1))
& finite(X0) ),
inference(ennf_transformation,[],[f53]) ).
fof(f53,negated_conjecture,
~ ! [X0,X1] :
( finite(X0)
=> finite(set_intersection2(X0,X1)) ),
inference(negated_conjecture,[],[f52]) ).
fof(f52,conjecture,
! [X0,X1] :
( finite(X0)
=> finite(set_intersection2(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t15_finset_1) ).
fof(f230,plain,
finite(sK9),
inference(cnf_transformation,[],[f148]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU295+3 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.33 % Computer : n027.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Aug 30 15:21:16 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.49 % (25820)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)
% 0.19/0.50 % (25828)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=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.50 % (25818)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.50 % (25828)First to succeed.
% 0.19/0.51 % (25817)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 1.32/0.51 % (25834)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 1.32/0.51 % (25828)Refutation found. Thanks to Tanya!
% 1.32/0.51 % SZS status Theorem for theBenchmark
% 1.32/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 1.32/0.51 % (25828)------------------------------
% 1.32/0.51 % (25828)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.32/0.51 % (25828)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.32/0.51 % (25828)Termination reason: Refutation
% 1.32/0.51
% 1.32/0.51 % (25828)Memory used [KB]: 6140
% 1.32/0.51 % (25828)Time elapsed: 0.097 s
% 1.32/0.51 % (25828)Instructions burned: 4 (million)
% 1.32/0.51 % (25828)------------------------------
% 1.32/0.51 % (25828)------------------------------
% 1.32/0.51 % (25806)Success in time 0.169 s
%------------------------------------------------------------------------------