TSTP Solution File: SET679+3 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SET679+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_sat --cores 0 -t %d %s
% Computer : n013.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 18:25:19 EDT 2022
% Result : Theorem 1.26s 0.53s
% Output : Refutation 1.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 9
% Syntax : Number of formulae : 43 ( 14 unt; 0 def)
% Number of atoms : 125 ( 10 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 144 ( 62 ~; 43 |; 22 &)
% ( 6 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 50 ( 44 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f211,plain,
$false,
inference(subsumption_resolution,[],[f210,f153]) ).
fof(f153,plain,
! [X0] : ~ member(X0,empty_set),
inference(resolution,[],[f115,f99]) ).
fof(f99,plain,
! [X0] : ilf_type(X0,set_type),
inference(cnf_transformation,[],[f23]) ).
fof(f23,axiom,
! [X0] : ilf_type(X0,set_type),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p22) ).
fof(f115,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ~ member(X0,empty_set) ),
inference(cnf_transformation,[],[f51]) ).
fof(f51,plain,
! [X0] :
( ~ member(X0,empty_set)
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ~ member(X0,empty_set) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2) ).
fof(f210,plain,
member(ordered_pair(sK0(sK8),sK0(sK8)),empty_set),
inference(forward_demodulation,[],[f207,f158]) ).
fof(f158,plain,
empty_set = identity_relation_of(sK8),
inference(backward_demodulation,[],[f140,f156]) ).
fof(f156,plain,
empty_set = sF10,
inference(resolution,[],[f149,f141]) ).
fof(f141,plain,
~ not_equal(sF10,empty_set),
inference(definition_folding,[],[f129,f140]) ).
fof(f129,plain,
~ not_equal(identity_relation_of(sK8),empty_set),
inference(cnf_transformation,[],[f84]) ).
fof(f84,plain,
( ilf_type(sK8,set_type)
& ~ empty(sK8)
& ~ not_equal(identity_relation_of(sK8),empty_set) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8])],[f48,f83]) ).
fof(f83,plain,
( ? [X0] :
( ilf_type(X0,set_type)
& ~ empty(X0)
& ~ not_equal(identity_relation_of(X0),empty_set) )
=> ( ilf_type(sK8,set_type)
& ~ empty(sK8)
& ~ not_equal(identity_relation_of(sK8),empty_set) ) ),
introduced(choice_axiom,[]) ).
fof(f48,plain,
? [X0] :
( ilf_type(X0,set_type)
& ~ empty(X0)
& ~ not_equal(identity_relation_of(X0),empty_set) ),
inference(flattening,[],[f47]) ).
fof(f47,plain,
? [X0] :
( ~ not_equal(identity_relation_of(X0),empty_set)
& ~ empty(X0)
& ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f25]) ).
fof(f25,negated_conjecture,
~ ! [X0] :
( ( ~ empty(X0)
& ilf_type(X0,set_type) )
=> not_equal(identity_relation_of(X0),empty_set) ),
inference(negated_conjecture,[],[f24]) ).
fof(f24,conjecture,
! [X0] :
( ( ~ empty(X0)
& ilf_type(X0,set_type) )
=> not_equal(identity_relation_of(X0),empty_set) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_relset_1_46) ).
fof(f149,plain,
! [X0,X1] :
( not_equal(X0,X1)
| X0 = X1 ),
inference(subsumption_resolution,[],[f148,f99]) ).
fof(f148,plain,
! [X0,X1] :
( X0 = X1
| not_equal(X0,X1)
| ~ ilf_type(X0,set_type) ),
inference(subsumption_resolution,[],[f117,f99]) ).
fof(f117,plain,
! [X0,X1] :
( X0 = X1
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type)
| not_equal(X0,X1) ),
inference(cnf_transformation,[],[f75]) ).
fof(f75,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ~ ilf_type(X1,set_type)
| ( ( not_equal(X0,X1)
| X0 = X1 )
& ( X0 != X1
| ~ not_equal(X0,X1) ) ) ) ),
inference(nnf_transformation,[],[f49]) ).
fof(f49,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ~ ilf_type(X1,set_type)
| ( not_equal(X0,X1)
<=> X0 != X1 ) ) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ( not_equal(X0,X1)
<=> X0 != X1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p7) ).
fof(f140,plain,
sF10 = identity_relation_of(sK8),
introduced(function_definition,[]) ).
fof(f207,plain,
member(ordered_pair(sK0(sK8),sK0(sK8)),identity_relation_of(sK8)),
inference(resolution,[],[f200,f164]) ).
fof(f164,plain,
member(sK0(sK8),sK8),
inference(subsumption_resolution,[],[f162,f130]) ).
fof(f130,plain,
~ empty(sK8),
inference(cnf_transformation,[],[f84]) ).
fof(f162,plain,
( empty(sK8)
| member(sK0(sK8),sK8) ),
inference(resolution,[],[f96,f131]) ).
fof(f131,plain,
ilf_type(sK8,set_type),
inference(cnf_transformation,[],[f84]) ).
fof(f96,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| member(sK0(X0),X0)
| empty(X0) ),
inference(cnf_transformation,[],[f59]) ).
fof(f59,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ( ( ! [X1] :
( ~ member(X1,X0)
| ~ ilf_type(X1,set_type) )
| ~ empty(X0) )
& ( empty(X0)
| ( member(sK0(X0),X0)
& ilf_type(sK0(X0),set_type) ) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f57,f58]) ).
fof(f58,plain,
! [X0] :
( ? [X2] :
( member(X2,X0)
& ilf_type(X2,set_type) )
=> ( member(sK0(X0),X0)
& ilf_type(sK0(X0),set_type) ) ),
introduced(choice_axiom,[]) ).
fof(f57,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ( ( ! [X1] :
( ~ member(X1,X0)
| ~ ilf_type(X1,set_type) )
| ~ empty(X0) )
& ( empty(X0)
| ? [X2] :
( member(X2,X0)
& ilf_type(X2,set_type) ) ) ) ),
inference(rectify,[],[f56]) ).
fof(f56,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ( ( ! [X1] :
( ~ member(X1,X0)
| ~ ilf_type(X1,set_type) )
| ~ empty(X0) )
& ( empty(X0)
| ? [X1] :
( member(X1,X0)
& ilf_type(X1,set_type) ) ) ) ),
inference(nnf_transformation,[],[f52]) ).
fof(f52,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ( ! [X1] :
( ~ member(X1,X0)
| ~ ilf_type(X1,set_type) )
<=> empty(X0) ) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ( empty(X0)
<=> ! [X1] :
( ilf_type(X1,set_type)
=> ~ member(X1,X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p8) ).
fof(f200,plain,
! [X2,X1] :
( ~ member(X1,X2)
| member(ordered_pair(X1,X1),identity_relation_of(X2)) ),
inference(subsumption_resolution,[],[f199,f99]) ).
fof(f199,plain,
! [X2,X1] :
( member(ordered_pair(X1,X1),identity_relation_of(X2))
| ~ member(X1,X2)
| ~ ilf_type(X2,set_type) ),
inference(resolution,[],[f89,f99]) ).
fof(f89,plain,
! [X0,X1] :
( ~ ilf_type(X1,set_type)
| member(ordered_pair(X1,X1),identity_relation_of(X0))
| ~ member(X1,X0)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f53]) ).
fof(f53,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ( ( member(X1,X0)
| ~ member(ordered_pair(X1,X1),identity_relation_of(X0)) )
& ( member(ordered_pair(X1,X1),identity_relation_of(X0))
| ~ member(X1,X0) ) )
| ~ ilf_type(X1,set_type) ) ),
inference(nnf_transformation,[],[f31]) ).
fof(f31,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ( member(X1,X0)
<=> member(ordered_pair(X1,X1),identity_relation_of(X0)) )
| ~ ilf_type(X1,set_type) ) ),
inference(ennf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ( member(X1,X0)
<=> member(ordered_pair(X1,X1),identity_relation_of(X0)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET679+3 : TPTP v8.1.0. Released v2.2.0.
% 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
% 0.13/0.34 % Computer : n013.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 30 14:10:02 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.51 % (31496)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.26/0.52 % (31501)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.26/0.52 % (31520)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 1.26/0.52 % (31497)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.26/0.52 % (31505)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.26/0.52 % (31494)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.26/0.52 % (31493)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)
% 1.26/0.52 % (31521)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.26/0.52 % (31494)Refutation not found, incomplete strategy% (31494)------------------------------
% 1.26/0.52 % (31494)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.26/0.52 % (31494)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.26/0.52 % (31494)Termination reason: Refutation not found, incomplete strategy
% 1.26/0.52
% 1.26/0.52 % (31494)Memory used [KB]: 5500
% 1.26/0.52 % (31494)Time elapsed: 0.124 s
% 1.26/0.52 % (31494)Instructions burned: 5 (million)
% 1.26/0.52 % (31494)------------------------------
% 1.26/0.52 % (31494)------------------------------
% 1.26/0.52 % (31504)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.26/0.53 % (31509)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)
% 1.26/0.53 % (31511)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.26/0.53 % (31513)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 1.26/0.53 % (31522)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 1.26/0.53 % (31501)Instruction limit reached!
% 1.26/0.53 % (31501)------------------------------
% 1.26/0.53 % (31501)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.26/0.53 % (31501)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.26/0.53 % (31501)Termination reason: Unknown
% 1.26/0.53 % (31501)Termination phase: Preprocessing 2
% 1.26/0.53
% 1.26/0.53 % (31501)Memory used [KB]: 895
% 1.26/0.53 % (31501)Time elapsed: 0.003 s
% 1.26/0.53 % (31501)Instructions burned: 2 (million)
% 1.26/0.53 % (31501)------------------------------
% 1.26/0.53 % (31501)------------------------------
% 1.26/0.53 % (31515)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)
% 1.26/0.53 % (31497)First to succeed.
% 1.26/0.53 % (31496)Also succeeded, but the first one will report.
% 1.26/0.53 % (31497)Refutation found. Thanks to Tanya!
% 1.26/0.53 % SZS status Theorem for theBenchmark
% 1.26/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 1.26/0.53 % (31497)------------------------------
% 1.26/0.53 % (31497)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.26/0.53 % (31497)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.26/0.53 % (31497)Termination reason: Refutation
% 1.26/0.53
% 1.26/0.53 % (31497)Memory used [KB]: 5500
% 1.26/0.53 % (31497)Time elapsed: 0.127 s
% 1.26/0.53 % (31497)Instructions burned: 5 (million)
% 1.26/0.53 % (31497)------------------------------
% 1.26/0.53 % (31497)------------------------------
% 1.26/0.53 % (31492)Success in time 0.176 s
%------------------------------------------------------------------------------