TSTP Solution File: SEU125+1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEU125+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% Computer : n007.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 : Thu Aug 31 17:55:51 EDT 2023
% Result : Theorem 0.22s 0.45s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 7
% Syntax : Number of formulae : 36 ( 8 unt; 0 def)
% Number of atoms : 155 ( 11 equ)
% Maximal formula atoms : 14 ( 4 avg)
% Number of connectives : 185 ( 66 ~; 65 |; 44 &)
% ( 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; 4 con; 0-3 aty)
% Number of variables : 81 (; 65 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f939,plain,
$false,
inference(unit_resulting_resolution,[],[f78,f820,f835]) ).
fof(f835,plain,
! [X5] :
( in(X5,sK1)
| ~ in(X5,sF7) ),
inference(global_subsumption,[],[f76,f834]) ).
fof(f834,plain,
! [X5] :
( in(X5,sK1)
| ~ in(X5,sF7)
| in(X5,sK0) ),
inference(forward_literal_rewriting,[],[f831,f77]) ).
fof(f77,plain,
! [X0] :
( in(X0,sK1)
| ~ in(X0,sK2) ),
inference(resolution,[],[f47,f58]) ).
fof(f58,plain,
! [X3,X0,X1] :
( in(X3,X1)
| ~ in(X3,X0)
| ~ subset(X0,X1) ),
inference(cnf_transformation,[],[f36]) ).
fof(f36,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ( ~ in(sK3(X0,X1),X1)
& in(sK3(X0,X1),X0) ) )
& ( ! [X3] :
( in(X3,X1)
| ~ in(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f34,f35]) ).
fof(f35,plain,
! [X0,X1] :
( ? [X2] :
( ~ in(X2,X1)
& in(X2,X0) )
=> ( ~ in(sK3(X0,X1),X1)
& in(sK3(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f34,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ? [X2] :
( ~ in(X2,X1)
& in(X2,X0) ) )
& ( ! [X3] :
( in(X3,X1)
| ~ in(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(rectify,[],[f33]) ).
fof(f33,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ? [X2] :
( ~ in(X2,X1)
& in(X2,X0) ) )
& ( ! [X2] :
( in(X2,X1)
| ~ in(X2,X0) )
| ~ subset(X0,X1) ) ),
inference(nnf_transformation,[],[f28]) ).
fof(f28,plain,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X1)
| ~ in(X2,X0) ) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X0)
=> in(X2,X1) ) ),
file('/export/starexec/sandbox2/tmp/tmp.vqmHleEiyy/Vampire---4.8_4632',d3_tarski) ).
fof(f47,plain,
subset(sK2,sK1),
inference(cnf_transformation,[],[f32]) ).
fof(f32,plain,
( ~ subset(set_union2(sK0,sK2),sK1)
& subset(sK2,sK1)
& subset(sK0,sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f23,f31]) ).
fof(f31,plain,
( ? [X0,X1,X2] :
( ~ subset(set_union2(X0,X2),X1)
& subset(X2,X1)
& subset(X0,X1) )
=> ( ~ subset(set_union2(sK0,sK2),sK1)
& subset(sK2,sK1)
& subset(sK0,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f23,plain,
? [X0,X1,X2] :
( ~ subset(set_union2(X0,X2),X1)
& subset(X2,X1)
& subset(X0,X1) ),
inference(flattening,[],[f22]) ).
fof(f22,plain,
? [X0,X1,X2] :
( ~ subset(set_union2(X0,X2),X1)
& subset(X2,X1)
& subset(X0,X1) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,negated_conjecture,
~ ! [X0,X1,X2] :
( ( subset(X2,X1)
& subset(X0,X1) )
=> subset(set_union2(X0,X2),X1) ),
inference(negated_conjecture,[],[f18]) ).
fof(f18,conjecture,
! [X0,X1,X2] :
( ( subset(X2,X1)
& subset(X0,X1) )
=> subset(set_union2(X0,X2),X1) ),
file('/export/starexec/sandbox2/tmp/tmp.vqmHleEiyy/Vampire---4.8_4632',t8_xboole_1) ).
fof(f831,plain,
! [X5] :
( ~ in(X5,sF7)
| in(X5,sK2)
| in(X5,sK0) ),
inference(superposition,[],[f73,f74]) ).
fof(f74,plain,
set_union2(sK0,sK2) = sF7,
introduced(function_definition,[]) ).
fof(f73,plain,
! [X0,X1,X4] :
( in(X4,X1)
| in(X4,X0)
| ~ in(X4,set_union2(X0,X1)) ),
inference(equality_resolution,[],[f63]) ).
fof(f63,plain,
! [X2,X0,X1,X4] :
( in(X4,X1)
| in(X4,X0)
| ~ in(X4,X2)
| set_union2(X0,X1) != X2 ),
inference(cnf_transformation,[],[f41]) ).
fof(f41,plain,
! [X0,X1,X2] :
( ( set_union2(X0,X1) = X2
| ( ( ( ~ in(sK4(X0,X1,X2),X1)
& ~ in(sK4(X0,X1,X2),X0) )
| ~ in(sK4(X0,X1,X2),X2) )
& ( in(sK4(X0,X1,X2),X1)
| in(sK4(X0,X1,X2),X0)
| in(sK4(X0,X1,X2),X2) ) ) )
& ( ! [X4] :
( ( in(X4,X2)
| ( ~ in(X4,X1)
& ~ in(X4,X0) ) )
& ( in(X4,X1)
| in(X4,X0)
| ~ in(X4,X2) ) )
| set_union2(X0,X1) != X2 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f39,f40]) ).
fof(f40,plain,
! [X0,X1,X2] :
( ? [X3] :
( ( ( ~ in(X3,X1)
& ~ in(X3,X0) )
| ~ in(X3,X2) )
& ( in(X3,X1)
| in(X3,X0)
| in(X3,X2) ) )
=> ( ( ( ~ in(sK4(X0,X1,X2),X1)
& ~ in(sK4(X0,X1,X2),X0) )
| ~ in(sK4(X0,X1,X2),X2) )
& ( in(sK4(X0,X1,X2),X1)
| in(sK4(X0,X1,X2),X0)
| in(sK4(X0,X1,X2),X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f39,plain,
! [X0,X1,X2] :
( ( set_union2(X0,X1) = X2
| ? [X3] :
( ( ( ~ in(X3,X1)
& ~ in(X3,X0) )
| ~ in(X3,X2) )
& ( in(X3,X1)
| in(X3,X0)
| in(X3,X2) ) ) )
& ( ! [X4] :
( ( in(X4,X2)
| ( ~ in(X4,X1)
& ~ in(X4,X0) ) )
& ( in(X4,X1)
| in(X4,X0)
| ~ in(X4,X2) ) )
| set_union2(X0,X1) != X2 ) ),
inference(rectify,[],[f38]) ).
fof(f38,plain,
! [X0,X1,X2] :
( ( set_union2(X0,X1) = X2
| ? [X3] :
( ( ( ~ in(X3,X1)
& ~ in(X3,X0) )
| ~ in(X3,X2) )
& ( in(X3,X1)
| in(X3,X0)
| in(X3,X2) ) ) )
& ( ! [X3] :
( ( in(X3,X2)
| ( ~ in(X3,X1)
& ~ in(X3,X0) ) )
& ( in(X3,X1)
| in(X3,X0)
| ~ in(X3,X2) ) )
| set_union2(X0,X1) != X2 ) ),
inference(flattening,[],[f37]) ).
fof(f37,plain,
! [X0,X1,X2] :
( ( set_union2(X0,X1) = X2
| ? [X3] :
( ( ( ~ in(X3,X1)
& ~ in(X3,X0) )
| ~ in(X3,X2) )
& ( in(X3,X1)
| in(X3,X0)
| in(X3,X2) ) ) )
& ( ! [X3] :
( ( in(X3,X2)
| ( ~ in(X3,X1)
& ~ in(X3,X0) ) )
& ( in(X3,X1)
| in(X3,X0)
| ~ in(X3,X2) ) )
| set_union2(X0,X1) != X2 ) ),
inference(nnf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0,X1,X2] :
( set_union2(X0,X1) = X2
<=> ! [X3] :
( in(X3,X2)
<=> ( in(X3,X1)
| in(X3,X0) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.vqmHleEiyy/Vampire---4.8_4632',d2_xboole_0) ).
fof(f76,plain,
! [X0] :
( in(X0,sK1)
| ~ in(X0,sK0) ),
inference(resolution,[],[f46,f58]) ).
fof(f46,plain,
subset(sK0,sK1),
inference(cnf_transformation,[],[f32]) ).
fof(f820,plain,
~ in(sK3(sF7,sK1),sK1),
inference(resolution,[],[f75,f60]) ).
fof(f60,plain,
! [X0,X1] :
( subset(X0,X1)
| ~ in(sK3(X0,X1),X1) ),
inference(cnf_transformation,[],[f36]) ).
fof(f75,plain,
~ subset(sF7,sK1),
inference(definition_folding,[],[f48,f74]) ).
fof(f48,plain,
~ subset(set_union2(sK0,sK2),sK1),
inference(cnf_transformation,[],[f32]) ).
fof(f78,plain,
in(sK3(sF7,sK1),sF7),
inference(resolution,[],[f75,f59]) ).
fof(f59,plain,
! [X0,X1] :
( subset(X0,X1)
| in(sK3(X0,X1),X0) ),
inference(cnf_transformation,[],[f36]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SEU125+1 : TPTP v8.1.2. Released v3.3.0.
% 0.12/0.14 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.14/0.36 % Computer : n007.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Wed Aug 23 18:00:55 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.14/0.36 This is a FOF_THM_RFO_SEQ problem
% 0.22/0.36 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/tmp/tmp.vqmHleEiyy/Vampire---4.8_4632
% 0.22/0.36 % (4818)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.40 % (4826)ott+11_14_av=off:bs=on:bsr=on:cond=on:flr=on:fsd=off:fde=unused:gsp=on:nm=4:nwc=1.5:tgt=full_386 on Vampire---4 for (386ds/0Mi)
% 0.22/0.42 % (4821)dis+1010_4:1_anc=none:bd=off:drc=off:flr=on:fsr=off:nm=4:nwc=1.1:nicw=on:sas=z3_680 on Vampire---4 for (680ds/0Mi)
% 0.22/0.42 % (4823)lrs-3_8_anc=none:bce=on:cond=on:drc=off:flr=on:fsd=off:fsr=off:fde=unused:gsp=on:gs=on:gsaa=full_model:lcm=predicate:lma=on:nm=16:sos=all:sp=weighted_frequency:tgt=ground:urr=ec_only:stl=188_482 on Vampire---4 for (482ds/0Mi)
% 0.22/0.42 % (4825)dis+1011_4_add=large:amm=off:sims=off:sac=on:sp=frequency:tgt=ground_413 on Vampire---4 for (413ds/0Mi)
% 0.22/0.42 % (4820)lrs+10_11_cond=on:drc=off:flr=on:fsr=off:gsp=on:gs=on:gsem=off:lma=on:msp=off:nm=4:nwc=1.5:nicw=on:sas=z3:sims=off:sp=scramble:stl=188_730 on Vampire---4 for (730ds/0Mi)
% 0.22/0.42 % (4822)dis-11_4:1_aac=none:add=off:afr=on:anc=none:bd=preordered:bs=on:bsr=on:drc=off:fsr=off:fde=none:gsp=on:irw=on:lcm=reverse:lma=on:nm=0:nwc=1.7:nicw=on:sas=z3:sims=off:sos=all:sac=on:sp=weighted_frequency:tgt=full_602 on Vampire---4 for (602ds/0Mi)
% 0.22/0.43 % (4824)lrs+1010_20_av=off:bd=off:bs=on:bsr=on:bce=on:flr=on:fde=none:gsp=on:nwc=3.0:tgt=ground:urr=ec_only:stl=125_424 on Vampire---4 for (424ds/0Mi)
% 0.22/0.45 % (4823)First to succeed.
% 0.22/0.45 % (4825)Also succeeded, but the first one will report.
% 0.22/0.45 % (4823)Refutation found. Thanks to Tanya!
% 0.22/0.45 % SZS status Theorem for Vampire---4
% 0.22/0.45 % SZS output start Proof for Vampire---4
% See solution above
% 0.22/0.45 % (4823)------------------------------
% 0.22/0.45 % (4823)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.22/0.45 % (4823)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.22/0.45 % (4823)Termination reason: Refutation
% 0.22/0.45
% 0.22/0.45 % (4823)Memory used [KB]: 10618
% 0.22/0.45 % (4823)Time elapsed: 0.029 s
% 0.22/0.45 % (4823)------------------------------
% 0.22/0.45 % (4823)------------------------------
% 0.22/0.45 % (4818)Success in time 0.086 s
% 0.22/0.45 4820 Aborted by signal SIGHUP on /export/starexec/sandbox2/tmp/tmp.vqmHleEiyy/Vampire---4.8_4632
% 0.22/0.45 % (4820)------------------------------
% 0.22/0.45 % (4820)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.22/0.45 4821 Aborted by signal SIGHUP on /export/starexec/sandbox2/tmp/tmp.vqmHleEiyy/Vampire---4.8_4632
% 0.22/0.45 % (4821)------------------------------
% 0.22/0.45 % (4821)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.22/0.45 4822 Aborted by signal SIGHUP on /export/starexec/sandbox2/tmp/tmp.vqmHleEiyy/Vampire---4.8_4632
% 0.22/0.45 % (4822)------------------------------
% 0.22/0.45 % (4822)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.22/0.45 % (4821)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.22/0.45 % (4820)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.22/0.45 % (4822)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.22/0.45 % (4821)Termination reason: Unknown
% 0.22/0.45 % (4820)Termination reason: Unknown
% 0.22/0.45 % (4822)Termination reason: Unknown
% 0.22/0.45 % (4821)Termination phase: Saturation
% 0.22/0.45 % (4820)Termination phase: Saturation
% 0.22/0.45
% 0.22/0.45 % (4822)Termination phase: Saturation
% 0.22/0.45
% 0.22/0.45
% 0.22/0.45 % (4821)Memory used [KB]: 895
% 0.22/0.45 % (4820)Memory used [KB]: 5373
% 0.22/0.45 % (4822)Memory used [KB]: 895
% 0.22/0.45 % (4821)Time elapsed: 0.032 s
% 0.22/0.45 % (4820)Time elapsed: 0.032 s
% 0.22/0.45 % (4822)Time elapsed: 0.029 s
% 0.22/0.45 % (4821)------------------------------
% 0.22/0.45 % (4821)------------------------------
% 0.22/0.45 % (4820)------------------------------
% 0.22/0.45 % (4820)------------------------------
% 0.22/0.45 % (4822)------------------------------
% 0.22/0.45 % (4822)------------------------------
% 0.22/0.45 % Vampire---4.8 exiting
%------------------------------------------------------------------------------