TSTP Solution File: SEU122+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SEU122+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n023.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 18:32:00 EDT 2022
% Result : Theorem 1.34s 0.54s
% Output : Refutation 1.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 8
% Syntax : Number of formulae : 29 ( 12 unt; 0 def)
% Number of atoms : 63 ( 4 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 62 ( 28 ~; 16 |; 9 &)
% ( 3 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 42 ( 35 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f54,plain,
$false,
inference(subsumption_resolution,[],[f53,f35]) ).
fof(f35,plain,
empty(sK1),
inference(cnf_transformation,[],[f24]) ).
fof(f24,plain,
empty(sK1),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f5,f23]) ).
fof(f23,plain,
( ? [X0] : empty(X0)
=> empty(sK1) ),
introduced(choice_axiom,[]) ).
fof(f5,axiom,
? [X0] : empty(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc1_xboole_0) ).
fof(f53,plain,
~ empty(sK1),
inference(resolution,[],[f48,f50]) ).
fof(f50,plain,
~ subset(sK1,sK0),
inference(backward_demodulation,[],[f32,f43]) ).
fof(f43,plain,
empty_set = sK1,
inference(resolution,[],[f40,f35]) ).
fof(f40,plain,
! [X0] :
( ~ empty(X0)
| empty_set = X0 ),
inference(cnf_transformation,[],[f20]) ).
fof(f20,plain,
! [X0] :
( empty_set = X0
| ~ empty(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X0] :
( empty(X0)
=> empty_set = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t6_boole) ).
fof(f32,plain,
~ subset(empty_set,sK0),
inference(cnf_transformation,[],[f22]) ).
fof(f22,plain,
~ subset(empty_set,sK0),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f19,f21]) ).
fof(f21,plain,
( ? [X0] : ~ subset(empty_set,X0)
=> ~ subset(empty_set,sK0) ),
introduced(choice_axiom,[]) ).
fof(f19,plain,
? [X0] : ~ subset(empty_set,X0),
inference(ennf_transformation,[],[f9]) ).
fof(f9,negated_conjecture,
~ ! [X0] : subset(empty_set,X0),
inference(negated_conjecture,[],[f8]) ).
fof(f8,conjecture,
! [X0] : subset(empty_set,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_xboole_1) ).
fof(f48,plain,
! [X2,X3] :
( subset(X2,X3)
| ~ empty(X2) ),
inference(resolution,[],[f38,f34]) ).
fof(f34,plain,
! [X0,X1] :
( ~ in(X0,X1)
| ~ empty(X1) ),
inference(cnf_transformation,[],[f16]) ).
fof(f16,plain,
! [X0,X1] :
( ~ in(X0,X1)
| ~ empty(X1) ),
inference(ennf_transformation,[],[f11]) ).
fof(f11,axiom,
! [X1,X0] :
~ ( empty(X1)
& in(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_boole) ).
fof(f38,plain,
! [X0,X1] :
( in(sK2(X0,X1),X1)
| subset(X1,X0) ),
inference(cnf_transformation,[],[f28]) ).
fof(f28,plain,
! [X0,X1] :
( ( subset(X1,X0)
| ( ~ in(sK2(X0,X1),X0)
& in(sK2(X0,X1),X1) ) )
& ( ! [X3] :
( in(X3,X0)
| ~ in(X3,X1) )
| ~ subset(X1,X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f26,f27]) ).
fof(f27,plain,
! [X0,X1] :
( ? [X2] :
( ~ in(X2,X0)
& in(X2,X1) )
=> ( ~ in(sK2(X0,X1),X0)
& in(sK2(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f26,plain,
! [X0,X1] :
( ( subset(X1,X0)
| ? [X2] :
( ~ in(X2,X0)
& in(X2,X1) ) )
& ( ! [X3] :
( in(X3,X0)
| ~ in(X3,X1) )
| ~ subset(X1,X0) ) ),
inference(rectify,[],[f25]) ).
fof(f25,plain,
! [X0,X1] :
( ( subset(X1,X0)
| ? [X2] :
( ~ in(X2,X0)
& in(X2,X1) ) )
& ( ! [X2] :
( in(X2,X0)
| ~ in(X2,X1) )
| ~ subset(X1,X0) ) ),
inference(nnf_transformation,[],[f17]) ).
fof(f17,plain,
! [X0,X1] :
( subset(X1,X0)
<=> ! [X2] :
( in(X2,X0)
| ~ in(X2,X1) ) ),
inference(ennf_transformation,[],[f13]) ).
fof(f13,plain,
! [X0,X1] :
( ! [X2] :
( in(X2,X1)
=> in(X2,X0) )
<=> subset(X1,X0) ),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X1,X0] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X0)
=> in(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_tarski) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU122+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.35 % Computer : n023.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Aug 30 15:00:50 EDT 2022
% 0.14/0.35 % CPUTime :
% 1.19/0.52 % (5002)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 1.19/0.52 % (4986)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.19/0.52 % (4987)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.19/0.52 % (4987)First to succeed.
% 1.19/0.52 TRYING [1]
% 1.19/0.52 TRYING [2]
% 1.19/0.52 TRYING [3]
% 1.19/0.52 TRYING [4]
% 1.19/0.52 TRYING [5]
% 1.19/0.52 % (4994)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.19/0.53 TRYING [6]
% 1.19/0.53 TRYING [7]
% 1.19/0.53 % (4988)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.34/0.53 TRYING [8]
% 1.34/0.53 % (4995)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 1.34/0.53 % (4996)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.34/0.54 TRYING [9]
% 1.34/0.54 % (5003)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 1.34/0.54 % (4984)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.34/0.54 % (4980)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 1.34/0.54 TRYING [1]
% 1.34/0.54 TRYING [2]
% 1.34/0.54 TRYING [3]
% 1.34/0.54 TRYING [4]
% 1.34/0.54 % (4987)Refutation found. Thanks to Tanya!
% 1.34/0.54 % SZS status Theorem for theBenchmark
% 1.34/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 1.34/0.54 % (4987)------------------------------
% 1.34/0.54 % (4987)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.34/0.54 % (4987)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.34/0.54 % (4987)Termination reason: Refutation
% 1.34/0.54
% 1.34/0.54 % (4987)Memory used [KB]: 5373
% 1.34/0.54 % (4987)Time elapsed: 0.100 s
% 1.34/0.54 % (4987)Instructions burned: 2 (million)
% 1.34/0.54 % (4987)------------------------------
% 1.34/0.54 % (4987)------------------------------
% 1.34/0.54 % (4979)Success in time 0.186 s
%------------------------------------------------------------------------------