TSTP Solution File: SWW474+3 by Vampire---4.9
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%------------------------------------------------------------------------------
% File : Vampire---4.9
% Problem : SWW474+3 : TPTP v8.2.0. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d THM
% Computer : n008.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 18:32:56 EDT 2024
% Result : Theorem 1.26s 0.65s
% Output : Refutation 1.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 9
% Syntax : Number of formulae : 39 ( 17 unt; 0 def)
% Number of atoms : 85 ( 8 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 85 ( 39 ~; 31 |; 0 &)
% ( 1 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 24 ( 24 usr; 11 con; 0-2 aty)
% Number of variables : 38 ( 38 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5838,plain,
$false,
inference(subsumption_resolution,[],[f5837,f1836]) ).
fof(f1836,plain,
hBOOL(hoare_1795711768gleton),
inference(cnf_transformation,[],[f1434]) ).
fof(f1434,axiom,
hBOOL(hoare_1795711768gleton),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f5837,plain,
~ hBOOL(hoare_1795711768gleton),
inference(subsumption_resolution,[],[f5836,f1835]) ).
fof(f1835,plain,
hBOOL(wT_bodies),
inference(cnf_transformation,[],[f1435]) ).
fof(f1435,axiom,
hBOOL(wT_bodies),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f5836,plain,
( ~ hBOOL(wT_bodies)
| ~ hBOOL(hoare_1795711768gleton) ),
inference(subsumption_resolution,[],[f5835,f2448]) ).
fof(f2448,plain,
hBOOL(hAPP_com_bool(wt,y)),
inference(subsumption_resolution,[],[f2447,f1835]) ).
fof(f2447,plain,
( hBOOL(hAPP_com_bool(wt,y))
| ~ hBOOL(wT_bodies) ),
inference(resolution,[],[f2148,f2218]) ).
fof(f2218,plain,
! [X0,X1] :
( hBOOL(hAPP_com_bool(wt,X1))
| ~ sQ44_eqProxy(hAPP_p799580910on_com(body,X0),hAPP_com_option_com(some_com,X1))
| ~ hBOOL(wT_bodies) ),
inference(equality_proxy_replacement,[],[f1962,f2147]) ).
fof(f2147,plain,
! [X0,X1] :
( sQ44_eqProxy(X0,X1)
<=> X0 = X1 ),
introduced(equality_proxy_definition,[new_symbols(naming,[sQ44_eqProxy])]) ).
fof(f1962,plain,
! [X0,X1] :
( hBOOL(hAPP_com_bool(wt,X1))
| hAPP_p799580910on_com(body,X0) != hAPP_com_option_com(some_com,X1)
| ~ hBOOL(wT_bodies) ),
inference(cnf_transformation,[],[f1632]) ).
fof(f1632,plain,
! [X0,X1] :
( hBOOL(hAPP_com_bool(wt,X1))
| hAPP_p799580910on_com(body,X0) != hAPP_com_option_com(some_com,X1)
| ~ hBOOL(wT_bodies) ),
inference(flattening,[],[f1631]) ).
fof(f1631,plain,
! [X0,X1] :
( hBOOL(hAPP_com_bool(wt,X1))
| hAPP_p799580910on_com(body,X0) != hAPP_com_option_com(some_com,X1)
| ~ hBOOL(wT_bodies) ),
inference(ennf_transformation,[],[f1508]) ).
fof(f1508,plain,
! [X0,X1] :
( hBOOL(wT_bodies)
=> ( hAPP_p799580910on_com(body,X0) = hAPP_com_option_com(some_com,X1)
=> hBOOL(hAPP_com_bool(wt,X1)) ) ),
inference(rectify,[],[f380]) ).
fof(f380,axiom,
! [X28,X29] :
( hBOOL(wT_bodies)
=> ( hAPP_p799580910on_com(body,X28) = hAPP_com_option_com(some_com,X29)
=> hBOOL(hAPP_com_bool(wt,X29)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f2148,plain,
sQ44_eqProxy(hAPP_p799580910on_com(body,pn),hAPP_com_option_com(some_com,y)),
inference(equality_proxy_replacement,[],[f1838,f2147]) ).
fof(f1838,plain,
hAPP_p799580910on_com(body,pn) = hAPP_com_option_com(some_com,y),
inference(cnf_transformation,[],[f1439]) ).
fof(f1439,axiom,
hAPP_p799580910on_com(body,pn) = hAPP_com_option_com(some_com,y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f5835,plain,
( ~ hBOOL(hAPP_com_bool(wt,y))
| ~ hBOOL(wT_bodies)
| ~ hBOOL(hoare_1795711768gleton) ),
inference(subsumption_resolution,[],[f5803,f1854]) ).
fof(f1854,plain,
! [X0] : hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(X0),bot_bo784226126e_bool)),
inference(cnf_transformation,[],[f1453]) ).
fof(f1453,plain,
! [X0] : hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(X0),bot_bo784226126e_bool)),
inference(rectify,[],[f83]) ).
fof(f83,axiom,
! [X2] : hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(X2),bot_bo784226126e_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f5803,plain,
( ~ hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(hAPP_f360545851e_bool(image_185131637_state(hAPP_f1377420673_state(cOMBB_271860050_pname(hoare_Mirabelle_MGT),body_1)),dom_pname_com(body))),bot_bo784226126e_bool))
| ~ hBOOL(hAPP_com_bool(wt,y))
| ~ hBOOL(wT_bodies)
| ~ hBOOL(hoare_1795711768gleton) ),
inference(resolution,[],[f2592,f1963]) ).
fof(f1963,plain,
! [X0] :
( hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(bot_bo784226126e_bool),hAPP_f806699093e_bool(hAPP_H1902130436e_bool(insert1744391420_state,hAPP_c1455475371_state(hoare_Mirabelle_MGT,X0)),bot_bo784226126e_bool)))
| ~ hBOOL(hAPP_com_bool(wt,X0))
| ~ hBOOL(wT_bodies)
| ~ hBOOL(hoare_1795711768gleton) ),
inference(cnf_transformation,[],[f1634]) ).
fof(f1634,plain,
! [X0] :
( hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(bot_bo784226126e_bool),hAPP_f806699093e_bool(hAPP_H1902130436e_bool(insert1744391420_state,hAPP_c1455475371_state(hoare_Mirabelle_MGT,X0)),bot_bo784226126e_bool)))
| ~ hBOOL(hAPP_com_bool(wt,X0))
| ~ hBOOL(wT_bodies)
| ~ hBOOL(hoare_1795711768gleton) ),
inference(flattening,[],[f1633]) ).
fof(f1633,plain,
! [X0] :
( hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(bot_bo784226126e_bool),hAPP_f806699093e_bool(hAPP_H1902130436e_bool(insert1744391420_state,hAPP_c1455475371_state(hoare_Mirabelle_MGT,X0)),bot_bo784226126e_bool)))
| ~ hBOOL(hAPP_com_bool(wt,X0))
| ~ hBOOL(wT_bodies)
| ~ hBOOL(hoare_1795711768gleton) ),
inference(ennf_transformation,[],[f1509]) ).
fof(f1509,plain,
! [X0] :
( hBOOL(hoare_1795711768gleton)
=> ( hBOOL(wT_bodies)
=> ( hBOOL(hAPP_com_bool(wt,X0))
=> hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(bot_bo784226126e_bool),hAPP_f806699093e_bool(hAPP_H1902130436e_bool(insert1744391420_state,hAPP_c1455475371_state(hoare_Mirabelle_MGT,X0)),bot_bo784226126e_bool))) ) ) ),
inference(rectify,[],[f149]) ).
fof(f149,axiom,
! [X14] :
( hBOOL(hoare_1795711768gleton)
=> ( hBOOL(wT_bodies)
=> ( hBOOL(hAPP_com_bool(wt,X14))
=> hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(bot_bo784226126e_bool),hAPP_f806699093e_bool(hAPP_H1902130436e_bool(insert1744391420_state,hAPP_c1455475371_state(hoare_Mirabelle_MGT,X14)),bot_bo784226126e_bool))) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f2592,plain,
! [X0] :
( ~ hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(X0),hAPP_f806699093e_bool(hAPP_H1902130436e_bool(insert1744391420_state,hAPP_c1455475371_state(hoare_Mirabelle_MGT,y)),bot_bo784226126e_bool)))
| ~ hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(hAPP_f360545851e_bool(image_185131637_state(hAPP_f1377420673_state(cOMBB_271860050_pname(hoare_Mirabelle_MGT),body_1)),dom_pname_com(body))),X0)) ),
inference(resolution,[],[f1831,f1852]) ).
fof(f1852,plain,
! [X2,X0,X1] :
( hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(X0),X2))
| ~ hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(X0),X1))
| ~ hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(X1),X2)) ),
inference(cnf_transformation,[],[f1579]) ).
fof(f1579,plain,
! [X0,X1,X2] :
( hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(X0),X2))
| ~ hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(X0),X1))
| ~ hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(X1),X2)) ),
inference(flattening,[],[f1578]) ).
fof(f1578,plain,
! [X0,X1,X2] :
( hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(X0),X2))
| ~ hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(X0),X1))
| ~ hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(X1),X2)) ),
inference(ennf_transformation,[],[f1451]) ).
fof(f1451,plain,
! [X0,X1,X2] :
( hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(X1),X2))
=> ( hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(X0),X1))
=> hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(X0),X2)) ) ),
inference(rectify,[],[f87]) ).
fof(f87,axiom,
! [X2,X5,X3] :
( hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(X5),X3))
=> ( hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(X2),X5))
=> hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(X2),X3)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f1831,plain,
~ hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(hAPP_f360545851e_bool(image_185131637_state(hAPP_f1377420673_state(cOMBB_271860050_pname(hoare_Mirabelle_MGT),body_1)),dom_pname_com(body))),hAPP_f806699093e_bool(hAPP_H1902130436e_bool(insert1744391420_state,hAPP_c1455475371_state(hoare_Mirabelle_MGT,y)),bot_bo784226126e_bool))),
inference(cnf_transformation,[],[f1443]) ).
fof(f1443,plain,
~ hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(hAPP_f360545851e_bool(image_185131637_state(hAPP_f1377420673_state(cOMBB_271860050_pname(hoare_Mirabelle_MGT),body_1)),dom_pname_com(body))),hAPP_f806699093e_bool(hAPP_H1902130436e_bool(insert1744391420_state,hAPP_c1455475371_state(hoare_Mirabelle_MGT,y)),bot_bo784226126e_bool))),
inference(flattening,[],[f1442]) ).
fof(f1442,negated_conjecture,
~ hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(hAPP_f360545851e_bool(image_185131637_state(hAPP_f1377420673_state(cOMBB_271860050_pname(hoare_Mirabelle_MGT),body_1)),dom_pname_com(body))),hAPP_f806699093e_bool(hAPP_H1902130436e_bool(insert1744391420_state,hAPP_c1455475371_state(hoare_Mirabelle_MGT,y)),bot_bo784226126e_bool))),
inference(negated_conjecture,[],[f1441]) ).
fof(f1441,conjecture,
hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(hAPP_f360545851e_bool(image_185131637_state(hAPP_f1377420673_state(cOMBB_271860050_pname(hoare_Mirabelle_MGT),body_1)),dom_pname_com(body))),hAPP_f806699093e_bool(hAPP_H1902130436e_bool(insert1744391420_state,hAPP_c1455475371_state(hoare_Mirabelle_MGT,y)),bot_bo784226126e_bool))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : SWW474+3 : TPTP v8.2.0. Released v5.3.0.
% 0.08/0.14 % Command : run_vampire %s %d THM
% 0.15/0.36 % Computer : n008.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Wed Jun 19 05:03:24 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.38 This is a FOF_THM_RFO_SEQ problem
% 0.15/0.38 Running first-order theorem proving
% 0.15/0.38 Running /export/starexec/sandbox/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.25/0.51 % (554)Running in auto input_syntax mode. Trying TPTP
% 0.25/0.51 % (560)lrs-1010_1:1_sil=2000:i=250:sd=1:ss=axioms:sgt=32:sos=on_0 on theBenchmark for (2999ds/250Mi)
% 0.25/0.53 % (554)Running in auto input_syntax mode. Trying TPTP
% 0.25/0.53 % (559)dis+2_1:50_sil=256000:flr=on:sac=on:i=218245:fsr=off:uhcvi=on_0 on theBenchmark for (2999ds/218245Mi)
% 0.25/0.54 % (554)Running in auto input_syntax mode. Trying TPTP
% 0.25/0.54 % (556)lrs+10_1:628_anc=all_dependent:bsr=unit_only:sil=256000:sp=frequency:i=136310:newcnf=on_0 on theBenchmark for (2999ds/136310Mi)
% 0.25/0.54 % (554)Running in auto input_syntax mode. Trying TPTP
% 0.25/0.54 % (557)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)
% 0.25/0.55 % (554)Running in auto input_syntax mode. Trying TPTP
% 0.25/0.55 % (566)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)
% 0.25/0.55 % (554)Running in auto input_syntax mode. Trying TPTP
% 0.25/0.55 % (561)lrs-1011_8:1_sil=16000:sos=all:i=346:sd=1:ep=R:ss=axioms_0 on theBenchmark for (2999ds/346Mi)
% 0.25/0.55 % (554)Running in auto input_syntax mode. Trying TPTP
% 0.25/0.55 % (558)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)
% 0.25/0.60 % (560)Instruction limit reached!
% 0.25/0.60 % (560)------------------------------
% 0.25/0.60 % (560)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.25/0.60 % (560)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.25/0.60 % (560)Termination reason: Time limit
% 0.25/0.60 % (560)Termination phase: Saturation
% 0.25/0.60
% 0.25/0.60 % (560)Memory used [KB]: 4668
% 0.25/0.60 % (560)Time elapsed: 0.085 s
% 0.25/0.60 % (560)Instructions burned: 252 (million)
% 1.26/0.64 % (554)Running in auto input_syntax mode. Trying TPTP
% 1.26/0.64 % (567)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)
% 1.26/0.64 % (561)First to succeed.
% 1.26/0.64 % (561)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-554"
% 1.26/0.65 % (554)Running in auto input_syntax mode. Trying TPTP
% 1.26/0.65 % (561)Refutation found. Thanks to Tanya!
% 1.26/0.65 % SZS status Theorem for theBenchmark
% 1.26/0.65 % SZS output start Proof for theBenchmark
% See solution above
% 1.26/0.65 % (561)------------------------------
% 1.26/0.65 % (561)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.26/0.65 % (561)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.26/0.65 % (561)Termination reason: Refutation
% 1.26/0.65
% 1.26/0.65 % (561)Memory used [KB]: 4287
% 1.26/0.65 % (561)Time elapsed: 0.117 s
% 1.26/0.65 % (561)Instructions burned: 248 (million)
% 1.26/0.65 % (561)------------------------------
% 1.26/0.65 % (561)------------------------------
% 1.26/0.65 % (554)Success in time 0.163 s
%------------------------------------------------------------------------------