TSTP Solution File: SWW364+1 by Vampire---4.9
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%------------------------------------------------------------------------------
% File : Vampire---4.9
% Problem : SWW364+1 : TPTP v8.2.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d THM
% Computer : n003.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 : Mon Jun 24 18:32:12 EDT 2024
% Result : Theorem 1.15s 0.96s
% Output : Refutation 1.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of formulae : 32 ( 12 unt; 0 def)
% Number of atoms : 64 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 54 ( 22 ~; 19 |; 6 &)
% ( 5 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 6 ( 5 usr; 4 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 5 con; 0-2 aty)
% Number of variables : 34 ( 34 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f7269,plain,
$false,
inference(avatar_sat_refutation,[],[f6483,f6498,f7260,f7268]) ).
fof(f7268,plain,
( spl28_1
| ~ spl28_34 ),
inference(avatar_contradiction_clause,[],[f7267]) ).
fof(f7267,plain,
( $false
| spl28_1
| ~ spl28_34 ),
inference(subsumption_resolution,[],[f7266,f7259]) ).
fof(f7259,plain,
( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(t_a,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(t_a),hAPP(v_mgt__call,v_pn)),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_HOL_Obool)))),v_G))
| ~ spl28_34 ),
inference(avatar_component_clause,[],[f7257]) ).
fof(f7257,plain,
( spl28_34
<=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(t_a,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(t_a),hAPP(v_mgt__call,v_pn)),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_HOL_Obool)))),v_G)) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_34])]) ).
fof(f7266,plain,
( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(t_a,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(t_a),hAPP(v_mgt__call,v_pn)),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_HOL_Obool)))),v_G))
| spl28_1 ),
inference(unit_resulting_resolution,[],[f6482,f5945]) ).
fof(f5945,plain,
! [X0,X1] :
( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(t_a,tc_HOL_Obool)),X1),X0))
| v_P(X0,X1) ),
inference(cnf_transformation,[],[f5536]) ).
fof(f5536,plain,
! [X0,X1] :
( v_P(X0,X1)
| ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(t_a,tc_HOL_Obool)),X1),X0)) ),
inference(ennf_transformation,[],[f5235]) ).
fof(f5235,plain,
! [X0,X1] :
( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(t_a,tc_HOL_Obool)),X1),X0))
=> v_P(X0,X1) ),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X3,X4] :
( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(t_a,tc_HOL_Obool)),X4),X3))
=> v_P(X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f6482,plain,
( ~ v_P(v_G,hAPP(hAPP(c_Set_Oinsert(t_a),hAPP(v_mgt__call,v_pn)),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_HOL_Obool))))
| spl28_1 ),
inference(avatar_component_clause,[],[f6480]) ).
fof(f6480,plain,
( spl28_1
<=> v_P(v_G,hAPP(hAPP(c_Set_Oinsert(t_a),hAPP(v_mgt__call,v_pn)),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_HOL_Obool)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_1])]) ).
fof(f7260,plain,
( spl28_34
| ~ spl28_4 ),
inference(avatar_split_clause,[],[f7080,f6495,f7257]) ).
fof(f6495,plain,
( spl28_4
<=> hBOOL(hAPP(hAPP(c_member(t_a),hAPP(v_mgt__call,v_pn)),v_G)) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_4])]) ).
fof(f7080,plain,
( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(t_a,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(t_a),hAPP(v_mgt__call,v_pn)),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_HOL_Obool)))),v_G))
| ~ spl28_4 ),
inference(unit_resulting_resolution,[],[f6042,f6497,f5956]) ).
fof(f5956,plain,
! [X2,X3,X0,X1] :
( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X3,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(X3),X2),X1)),X0))
| ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X3,tc_HOL_Obool)),X1),X0))
| ~ hBOOL(hAPP(hAPP(c_member(X3),X2),X0)) ),
inference(cnf_transformation,[],[f5789]) ).
fof(f5789,plain,
! [X0,X1,X2,X3] :
( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X3,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(X3),X2),X1)),X0))
| ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X3,tc_HOL_Obool)),X1),X0))
| ~ hBOOL(hAPP(hAPP(c_member(X3),X2),X0)) )
& ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X3,tc_HOL_Obool)),X1),X0))
& hBOOL(hAPP(hAPP(c_member(X3),X2),X0)) )
| ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X3,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(X3),X2),X1)),X0)) ) ),
inference(flattening,[],[f5788]) ).
fof(f5788,plain,
! [X0,X1,X2,X3] :
( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X3,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(X3),X2),X1)),X0))
| ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X3,tc_HOL_Obool)),X1),X0))
| ~ hBOOL(hAPP(hAPP(c_member(X3),X2),X0)) )
& ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X3,tc_HOL_Obool)),X1),X0))
& hBOOL(hAPP(hAPP(c_member(X3),X2),X0)) )
| ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X3,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(X3),X2),X1)),X0)) ) ),
inference(nnf_transformation,[],[f5238]) ).
fof(f5238,plain,
! [X0,X1,X2,X3] :
( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X3,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(X3),X2),X1)),X0))
<=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X3,tc_HOL_Obool)),X1),X0))
& hBOOL(hAPP(hAPP(c_member(X3),X2),X0)) ) ),
inference(rectify,[],[f69]) ).
fof(f69,axiom,
! [X14,X11,X10,X9] :
( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X9,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(X9),X10),X11)),X14))
<=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X9,tc_HOL_Obool)),X11),X14))
& hBOOL(hAPP(hAPP(c_member(X9),X10),X14)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f6497,plain,
( hBOOL(hAPP(hAPP(c_member(t_a),hAPP(v_mgt__call,v_pn)),v_G))
| ~ spl28_4 ),
inference(avatar_component_clause,[],[f6495]) ).
fof(f6042,plain,
! [X0,X1] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))),X0)),
inference(cnf_transformation,[],[f5283]) ).
fof(f5283,plain,
! [X0,X1] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))),X0)),
inference(rectify,[],[f7]) ).
fof(f7,axiom,
! [X11,X9] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X9,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(X9,tc_HOL_Obool))),X11)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f6498,plain,
spl28_4,
inference(avatar_split_clause,[],[f5941,f6495]) ).
fof(f5941,plain,
hBOOL(hAPP(hAPP(c_member(t_a),hAPP(v_mgt__call,v_pn)),v_G)),
inference(cnf_transformation,[],[f5230]) ).
fof(f5230,axiom,
hBOOL(hAPP(hAPP(c_member(t_a),hAPP(v_mgt__call,v_pn)),v_G)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f6483,plain,
~ spl28_1,
inference(avatar_split_clause,[],[f5938,f6480]) ).
fof(f5938,plain,
~ v_P(v_G,hAPP(hAPP(c_Set_Oinsert(t_a),hAPP(v_mgt__call,v_pn)),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_HOL_Obool)))),
inference(cnf_transformation,[],[f5233]) ).
fof(f5233,plain,
~ v_P(v_G,hAPP(hAPP(c_Set_Oinsert(t_a),hAPP(v_mgt__call,v_pn)),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_HOL_Obool)))),
inference(flattening,[],[f5232]) ).
fof(f5232,negated_conjecture,
~ v_P(v_G,hAPP(hAPP(c_Set_Oinsert(t_a),hAPP(v_mgt__call,v_pn)),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_HOL_Obool)))),
inference(negated_conjecture,[],[f5231]) ).
fof(f5231,conjecture,
v_P(v_G,hAPP(hAPP(c_Set_Oinsert(t_a),hAPP(v_mgt__call,v_pn)),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_HOL_Obool)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWW364+1 : TPTP v8.2.0. Released v5.2.0.
% 0.07/0.12 % Command : run_vampire %s %d THM
% 0.12/0.33 % Computer : n003.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 : Wed Jun 19 06:56:24 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.12/0.36 This is a FOF_CAX_RFO_SEQ problem
% 0.12/0.36 Running first-order theorem proving
% 0.12/0.36 Running /export/starexec/sandbox/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.52/0.73 % (14993)Running in auto input_syntax mode. Trying TPTP
% 0.52/0.73 % (15132)lrs+11_1:12_to=lpo:sil=128000:sp=const_min:i=103397:ss=included:sgt=16:av=off:fsd=on:nm=16_0 on theBenchmark for (2999ds/103397Mi)
% 0.52/0.73 % (14993)Running in auto input_syntax mode. Trying TPTP
% 0.52/0.73 % (15135)lrs-1011_8:1_sil=16000:sos=all:i=346:sd=1:ep=R:ss=axioms_0 on theBenchmark for (2999ds/346Mi)
% 0.52/0.73 % (14993)Running in auto input_syntax mode. Trying TPTP
% 0.52/0.73 % (15134)lrs-1010_1:1_sil=2000:i=250:sd=1:ss=axioms:sgt=32:sos=on_0 on theBenchmark for (2999ds/250Mi)
% 0.52/0.73 % (14993)Running in auto input_syntax mode. Trying TPTP
% 0.52/0.73 % (15136)lrs+1002_1:1_to=lpo:sil=2000:sp=frequency:sos=on:st=3.0:i=282:sd=2:ss=axioms_0 on theBenchmark for (2999ds/282Mi)
% 0.52/0.73 % (14993)Running in auto input_syntax mode. Trying TPTP
% 0.52/0.73 % (15130)lrs+2_3:1_to=lpo:sil=256000:irw=on:fde=unused:sp=unary_first:bce=on:nwc=6.0:s2agt=30:newcnf=on:s2a=on:i=140573:nm=2_0 on theBenchmark for (2999ds/140573Mi)
% 0.52/0.73 % (14993)Running in auto input_syntax mode. Trying TPTP
% 0.52/0.73 % (15133)dis+2_1:50_sil=256000:flr=on:sac=on:i=218245:fsr=off:uhcvi=on_0 on theBenchmark for (2999ds/218245Mi)
% 0.52/0.73 % (14993)Running in auto input_syntax mode. Trying TPTP
% 0.52/0.73 % (15129)lrs+10_1:628_anc=all_dependent:bsr=unit_only:sil=256000:sp=frequency:i=136310:newcnf=on_0 on theBenchmark for (2999ds/136310Mi)
% 0.52/0.84 % (15136)Instruction limit reached!
% 0.52/0.84 % (15136)------------------------------
% 0.52/0.84 % (15136)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.52/0.84 % (15136)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.52/0.84 % (15136)Termination reason: Time limit
% 0.52/0.84 % (15136)Termination phase: Property scanning
% 0.52/0.84
% 0.52/0.84 % (15136)Memory used [KB]: 9155
% 0.52/0.84 % (15136)Time elapsed: 0.111 s
% 0.52/0.84 % (15136)Instructions burned: 282 (million)
% 0.52/0.84 % (15134)Instruction limit reached!
% 0.52/0.84 % (15134)------------------------------
% 0.52/0.84 % (15134)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.52/0.84 % (15134)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.52/0.84 % (15134)Termination reason: Time limit
% 0.52/0.84 % (15134)Termination phase: Saturation
% 0.52/0.84
% 0.52/0.84 % (15134)Memory used [KB]: 8102
% 0.52/0.84 % (15134)Time elapsed: 0.113 s
% 0.52/0.84 % (15134)Instructions burned: 251 (million)
% 0.52/0.87 % (15135)Instruction limit reached!
% 0.52/0.87 % (15135)------------------------------
% 0.52/0.87 % (15135)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.52/0.87 % (15135)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.52/0.87 % (15135)Termination reason: Time limit
% 0.52/0.87 % (15135)Termination phase: Saturation
% 0.52/0.87
% 0.52/0.87 % (15135)Memory used [KB]: 8635
% 0.52/0.87 % (15135)Time elapsed: 0.146 s
% 0.52/0.87 % (15135)Instructions burned: 347 (million)
% 0.52/0.87 % (14993)Running in auto input_syntax mode. Trying TPTP
% 0.52/0.87 % (15170)lrs+1010_1:1_sil=8000:sp=occurrence:urr=on:br=off:st=1.2:i=125:sd=7:ss=axioms:sgt=16_0 on theBenchmark for (2998ds/125Mi)
% 0.52/0.87 % (14993)Running in auto input_syntax mode. Trying TPTP
% 0.52/0.87 % (15171)lrs+1010_1:1_to=lpo:sil=2000:sos=on:fd=off:i=402:bd=off_0 on theBenchmark for (2998ds/402Mi)
% 0.52/0.91 % (14993)Running in auto input_syntax mode. Trying TPTP
% 0.52/0.91 % (15186)lrs+2_5:1_sil=2000:sos=on:acc=on:urr=on:alpa=false:i=325:sd=1:bd=off:nm=32:ss=axioms:br=off:sup=off:bs=on_0 on theBenchmark for (2997ds/325Mi)
% 0.52/0.92 % (15170)Instruction limit reached!
% 0.52/0.92 % (15170)------------------------------
% 0.52/0.92 % (15170)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.52/0.92 % (15170)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.52/0.92 % (15170)Termination reason: Time limit
% 0.52/0.92 % (15170)Termination phase: Preprocessing 3
% 0.52/0.92
% 0.52/0.92 % (15170)Memory used [KB]: 8398
% 0.52/0.92 % (15170)Time elapsed: 0.048 s
% 0.52/0.92 % (15170)Instructions burned: 126 (million)
% 1.15/0.96 % (14993)Running in auto input_syntax mode. Trying TPTP
% 1.15/0.96 % (15214)lrs+1011_1:1_to=lpo:drc=encompass:sil=4000:plsq=on:plsqr=32,1:sp=occurrence:sos=on:erd=off:urr=on:lsd=100:i=267:sd=1:nm=2:ss=axioms:flr=on:sup=off_0 on theBenchmark for (2997ds/267Mi)
% 1.15/0.96 % (15186)First to succeed.
% 1.15/0.96 % (15186)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-14993"
% 1.15/0.96 % (14993)Running in auto input_syntax mode. Trying TPTP
% 1.15/0.96 % (15186)Refutation found. Thanks to Tanya!
% 1.15/0.96 % SZS status Theorem for theBenchmark
% 1.15/0.96 % SZS output start Proof for theBenchmark
% See solution above
% 1.15/0.96 % (15186)------------------------------
% 1.15/0.96 % (15186)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.15/0.96 % (15186)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.15/0.96 % (15186)Termination reason: Refutation
% 1.15/0.96
% 1.15/0.96 % (15186)Memory used [KB]: 7087
% 1.15/0.96 % (15186)Time elapsed: 0.053 s
% 1.15/0.96 % (15186)Instructions burned: 154 (million)
% 1.15/0.96 % (15186)------------------------------
% 1.15/0.96 % (15186)------------------------------
% 1.15/0.96 % (14993)Success in time 0.305 s
%------------------------------------------------------------------------------