TSTP Solution File: SEU172+2 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SEU172+2 : 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_uns --cores 0 -t %d %s
% Computer : n017.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 18:27:06 EDT 2022
% Result : Theorem 0.19s 0.52s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 5
% Syntax : Number of formulae : 28 ( 7 unt; 0 def)
% Number of atoms : 123 ( 16 equ)
% Maximal formula atoms : 14 ( 4 avg)
% Number of connectives : 145 ( 50 ~; 44 |; 41 &)
% ( 4 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-3 aty)
% Number of variables : 68 ( 52 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f606,plain,
$false,
inference(subsumption_resolution,[],[f605,f567]) ).
fof(f567,plain,
! [X0] : ~ in(sK25,set_difference(X0,sK24)),
inference(unit_resulting_resolution,[],[f508,f527]) ).
fof(f527,plain,
! [X2,X1,X4] :
( ~ in(X4,set_difference(X1,X2))
| ~ in(X4,X2) ),
inference(equality_resolution,[],[f363]) ).
fof(f363,plain,
! [X2,X0,X1,X4] :
( ~ in(X4,X2)
| ~ in(X4,X0)
| set_difference(X1,X2) != X0 ),
inference(cnf_transformation,[],[f234]) ).
fof(f234,plain,
! [X0,X1,X2] :
( ( set_difference(X1,X2) = X0
| ( ( in(sK2(X0,X1,X2),X2)
| ~ in(sK2(X0,X1,X2),X1)
| ~ in(sK2(X0,X1,X2),X0) )
& ( ( ~ in(sK2(X0,X1,X2),X2)
& in(sK2(X0,X1,X2),X1) )
| in(sK2(X0,X1,X2),X0) ) ) )
& ( ! [X4] :
( ( in(X4,X0)
| in(X4,X2)
| ~ in(X4,X1) )
& ( ( ~ in(X4,X2)
& in(X4,X1) )
| ~ in(X4,X0) ) )
| set_difference(X1,X2) != X0 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f232,f233]) ).
fof(f233,plain,
! [X0,X1,X2] :
( ? [X3] :
( ( in(X3,X2)
| ~ in(X3,X1)
| ~ in(X3,X0) )
& ( ( ~ in(X3,X2)
& in(X3,X1) )
| in(X3,X0) ) )
=> ( ( in(sK2(X0,X1,X2),X2)
| ~ in(sK2(X0,X1,X2),X1)
| ~ in(sK2(X0,X1,X2),X0) )
& ( ( ~ in(sK2(X0,X1,X2),X2)
& in(sK2(X0,X1,X2),X1) )
| in(sK2(X0,X1,X2),X0) ) ) ),
introduced(choice_axiom,[]) ).
fof(f232,plain,
! [X0,X1,X2] :
( ( set_difference(X1,X2) = X0
| ? [X3] :
( ( in(X3,X2)
| ~ in(X3,X1)
| ~ in(X3,X0) )
& ( ( ~ in(X3,X2)
& in(X3,X1) )
| in(X3,X0) ) ) )
& ( ! [X4] :
( ( in(X4,X0)
| in(X4,X2)
| ~ in(X4,X1) )
& ( ( ~ in(X4,X2)
& in(X4,X1) )
| ~ in(X4,X0) ) )
| set_difference(X1,X2) != X0 ) ),
inference(rectify,[],[f231]) ).
fof(f231,plain,
! [X1,X2,X0] :
( ( set_difference(X2,X0) = X1
| ? [X3] :
( ( in(X3,X0)
| ~ in(X3,X2)
| ~ in(X3,X1) )
& ( ( ~ in(X3,X0)
& in(X3,X2) )
| in(X3,X1) ) ) )
& ( ! [X3] :
( ( in(X3,X1)
| in(X3,X0)
| ~ in(X3,X2) )
& ( ( ~ in(X3,X0)
& in(X3,X2) )
| ~ in(X3,X1) ) )
| set_difference(X2,X0) != X1 ) ),
inference(flattening,[],[f230]) ).
fof(f230,plain,
! [X1,X2,X0] :
( ( set_difference(X2,X0) = X1
| ? [X3] :
( ( in(X3,X0)
| ~ in(X3,X2)
| ~ in(X3,X1) )
& ( ( ~ in(X3,X0)
& in(X3,X2) )
| in(X3,X1) ) ) )
& ( ! [X3] :
( ( in(X3,X1)
| in(X3,X0)
| ~ in(X3,X2) )
& ( ( ~ in(X3,X0)
& in(X3,X2) )
| ~ in(X3,X1) ) )
| set_difference(X2,X0) != X1 ) ),
inference(nnf_transformation,[],[f155]) ).
fof(f155,plain,
! [X1,X2,X0] :
( set_difference(X2,X0) = X1
<=> ! [X3] :
( in(X3,X1)
<=> ( ~ in(X3,X0)
& in(X3,X2) ) ) ),
inference(rectify,[],[f17]) ).
fof(f17,axiom,
! [X1,X2,X0] :
( ! [X3] :
( ( in(X3,X0)
& ~ in(X3,X1) )
<=> in(X3,X2) )
<=> set_difference(X0,X1) = X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_xboole_0) ).
fof(f508,plain,
in(sK25,sK24),
inference(cnf_transformation,[],[f342]) ).
fof(f342,plain,
( in(sK25,subset_complement(sK26,sK24))
& in(sK25,sK24)
& element(sK24,powerset(sK26)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK24,sK25,sK26])],[f340,f341]) ).
fof(f341,plain,
( ? [X0,X1,X2] :
( in(X1,subset_complement(X2,X0))
& in(X1,X0)
& element(X0,powerset(X2)) )
=> ( in(sK25,subset_complement(sK26,sK24))
& in(sK25,sK24)
& element(sK24,powerset(sK26)) ) ),
introduced(choice_axiom,[]) ).
fof(f340,plain,
? [X0,X1,X2] :
( in(X1,subset_complement(X2,X0))
& in(X1,X0)
& element(X0,powerset(X2)) ),
inference(rectify,[],[f219]) ).
fof(f219,plain,
? [X0,X2,X1] :
( in(X2,subset_complement(X1,X0))
& in(X2,X0)
& element(X0,powerset(X1)) ),
inference(flattening,[],[f218]) ).
fof(f218,plain,
? [X0,X2,X1] :
( in(X2,subset_complement(X1,X0))
& in(X2,X0)
& element(X0,powerset(X1)) ),
inference(ennf_transformation,[],[f121]) ).
fof(f121,plain,
~ ! [X0,X2,X1] :
( element(X0,powerset(X1))
=> ~ ( in(X2,subset_complement(X1,X0))
& in(X2,X0) ) ),
inference(rectify,[],[f97]) ).
fof(f97,negated_conjecture,
~ ! [X2,X0,X1] :
( element(X2,powerset(X0))
=> ~ ( in(X1,X2)
& in(X1,subset_complement(X0,X2)) ) ),
inference(negated_conjecture,[],[f96]) ).
fof(f96,conjecture,
! [X2,X0,X1] :
( element(X2,powerset(X0))
=> ~ ( in(X1,X2)
& in(X1,subset_complement(X0,X2)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t54_subset_1) ).
fof(f605,plain,
in(sK25,set_difference(sK26,sK24)),
inference(backward_demodulation,[],[f509,f602]) ).
fof(f602,plain,
set_difference(sK26,sK24) = subset_complement(sK26,sK24),
inference(unit_resulting_resolution,[],[f507,f380]) ).
fof(f380,plain,
! [X0,X1] :
( ~ element(X0,powerset(X1))
| set_difference(X1,X0) = subset_complement(X1,X0) ),
inference(cnf_transformation,[],[f244]) ).
fof(f244,plain,
! [X0,X1] :
( set_difference(X1,X0) = subset_complement(X1,X0)
| ~ element(X0,powerset(X1)) ),
inference(rectify,[],[f170]) ).
fof(f170,plain,
! [X1,X0] :
( set_difference(X0,X1) = subset_complement(X0,X1)
| ~ element(X1,powerset(X0)) ),
inference(ennf_transformation,[],[f18]) ).
fof(f18,axiom,
! [X0,X1] :
( element(X1,powerset(X0))
=> set_difference(X0,X1) = subset_complement(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d5_subset_1) ).
fof(f507,plain,
element(sK24,powerset(sK26)),
inference(cnf_transformation,[],[f342]) ).
fof(f509,plain,
in(sK25,subset_complement(sK26,sK24)),
inference(cnf_transformation,[],[f342]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : SEU172+2 : TPTP v8.1.0. Released v3.3.0.
% 0.10/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.33 % Computer : n017.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Tue Aug 30 14:10:20 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.48 % (4994)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.49 % (5014)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.19/0.49 % (5006)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.49 % (4996)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.19/0.50 % (4994)First to succeed.
% 0.19/0.50 % (4999)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)
% 0.19/0.50 % (4995)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)
% 0.19/0.50 % (5013)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.19/0.50 % (4998)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)
% 0.19/0.50 % (5006)Instruction limit reached!
% 0.19/0.50 % (5006)------------------------------
% 0.19/0.50 % (5006)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (5006)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (5006)Termination reason: Unknown
% 0.19/0.50 % (5006)Termination phase: Saturation
% 0.19/0.50
% 0.19/0.50 % (5011)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 0.19/0.50 % (5006)Memory used [KB]: 6268
% 0.19/0.50 % (5006)Time elapsed: 0.008 s
% 0.19/0.50 % (5006)Instructions burned: 8 (million)
% 0.19/0.50 % (5006)------------------------------
% 0.19/0.50 % (5006)------------------------------
% 0.19/0.51 % (4992)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.19/0.51 % (5019)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.19/0.51 % (4993)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)
% 0.19/0.51 % (4993)Instruction limit reached!
% 0.19/0.51 % (4993)------------------------------
% 0.19/0.51 % (4993)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (4993)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (4993)Termination reason: Unknown
% 0.19/0.51 % (4993)Termination phase: Property scanning
% 0.19/0.51
% 0.19/0.51 % (4993)Memory used [KB]: 1663
% 0.19/0.51 % (4993)Time elapsed: 0.003 s
% 0.19/0.51 % (4993)Instructions burned: 5 (million)
% 0.19/0.51 % (4993)------------------------------
% 0.19/0.51 % (4993)------------------------------
% 0.19/0.51 % (4991)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.19/0.51 % (5018)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)
% 0.19/0.52 % (5004)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)
% 0.19/0.52 % (4994)Refutation found. Thanks to Tanya!
% 0.19/0.52 % SZS status Theorem for theBenchmark
% 0.19/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.52 % (4994)------------------------------
% 0.19/0.52 % (4994)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (4994)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (4994)Termination reason: Refutation
% 0.19/0.52
% 0.19/0.52 % (4994)Memory used [KB]: 6396
% 0.19/0.52 % (4994)Time elapsed: 0.102 s
% 0.19/0.52 % (4994)Instructions burned: 13 (million)
% 0.19/0.52 % (4994)------------------------------
% 0.19/0.52 % (4994)------------------------------
% 0.19/0.52 % (4984)Success in time 0.171 s
%------------------------------------------------------------------------------