TSTP Solution File: SWW473+2 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SWW473+2 : TPTP v8.1.2. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n006.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 : Tue Apr 30 17:33:31 EDT 2024
% Result : Theorem 100.74s 14.75s
% Output : Refutation 100.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 8
% Syntax : Number of formulae : 33 ( 21 unt; 0 def)
% Number of atoms : 61 ( 10 equ)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 49 ( 21 ~; 16 |; 6 &)
% ( 2 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 7 con; 0-2 aty)
% Number of variables : 45 ( 45 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f306495,plain,
$false,
inference(resolution,[],[f306439,f3050]) ).
fof(f3050,plain,
hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,g),image_pname_a(mgt_call,u))),
inference(cnf_transformation,[],[f912]) ).
fof(f912,axiom,
hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,g),image_pname_a(mgt_call,u))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_1) ).
fof(f306439,plain,
~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,g),image_pname_a(mgt_call,u))),
inference(resolution,[],[f202441,f67178]) ).
fof(f67178,plain,
! [X0] : hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,hAPP_pname_a(X0,pn)),image_pname_a(X0,u))),
inference(superposition,[],[f26025,f24463]) ).
fof(f24463,plain,
u = insert_pname(pn,u),
inference(resolution,[],[f24427,f3048]) ).
fof(f3048,plain,
hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,pn),u)),
inference(cnf_transformation,[],[f915]) ).
fof(f915,axiom,
hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,pn),u)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_4) ).
fof(f24427,plain,
! [X0] :
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X0),u))
| u = insert_pname(X0,u) ),
inference(resolution,[],[f3438,f3046]) ).
fof(f3046,plain,
is_fun_pname_bool(u),
inference(cnf_transformation,[],[f100]) ).
fof(f100,axiom,
is_fun_pname_bool(u),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_v_U) ).
fof(f3438,plain,
! [X0,X1] :
( ~ is_fun_pname_bool(X1)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X0),X1))
| insert_pname(X0,X1) = X1 ),
inference(cnf_transformation,[],[f1835]) ).
fof(f1835,plain,
! [X0,X1] :
( insert_pname(X0,X1) = X1
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X0),X1))
| ~ is_fun_pname_bool(X1) ),
inference(flattening,[],[f1834]) ).
fof(f1834,plain,
! [X0,X1] :
( insert_pname(X0,X1) = X1
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X0),X1))
| ~ is_fun_pname_bool(X1) ),
inference(ennf_transformation,[],[f1131]) ).
fof(f1131,plain,
! [X0,X1] :
( is_fun_pname_bool(X1)
=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X0),X1))
=> insert_pname(X0,X1) = X1 ) ),
inference(rectify,[],[f368]) ).
fof(f368,axiom,
! [X7,X4] :
( is_fun_pname_bool(X4)
=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X7),X4))
=> insert_pname(X7,X4) = X4 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_264_insert__absorb) ).
fof(f26025,plain,
! [X2,X0,X1] : hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,hAPP_pname_a(X0,X1)),image_pname_a(X0,insert_pname(X1,X2)))),
inference(superposition,[],[f3299,f3952]) ).
fof(f3952,plain,
! [X2,X0,X1] : image_pname_a(X0,insert_pname(X1,X2)) = insert_a(hAPP_pname_a(X0,X1),image_pname_a(X0,X2)),
inference(cnf_transformation,[],[f1460]) ).
fof(f1460,plain,
! [X0,X1,X2] : image_pname_a(X0,insert_pname(X1,X2)) = insert_a(hAPP_pname_a(X0,X1),image_pname_a(X0,X2)),
inference(rectify,[],[f441]) ).
fof(f441,axiom,
! [X8,X7,X9] : image_pname_a(X8,insert_pname(X7,X9)) = insert_a(hAPP_pname_a(X8,X7),image_pname_a(X8,X9)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_337_image__insert) ).
fof(f3299,plain,
! [X0,X1] : hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X0),insert_a(X0,X1))),
inference(cnf_transformation,[],[f1045]) ).
fof(f1045,plain,
! [X0,X1] : hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X0),insert_a(X0,X1))),
inference(rectify,[],[f336]) ).
fof(f336,axiom,
! [X7,X9] : hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X7),insert_a(X7,X9))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_232_insertI1) ).
fof(f202441,plain,
( ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,hAPP_pname_a(mgt_call,pn)),image_pname_a(mgt_call,u)))
| ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,g),image_pname_a(mgt_call,u))) ),
inference(resolution,[],[f4359,f3042]) ).
fof(f3042,plain,
~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,insert_a(hAPP_pname_a(mgt_call,pn),g)),image_pname_a(mgt_call,u))),
inference(cnf_transformation,[],[f919]) ).
fof(f919,plain,
~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,insert_a(hAPP_pname_a(mgt_call,pn),g)),image_pname_a(mgt_call,u))),
inference(flattening,[],[f918]) ).
fof(f918,negated_conjecture,
~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,insert_a(hAPP_pname_a(mgt_call,pn),g)),image_pname_a(mgt_call,u))),
inference(negated_conjecture,[],[f917]) ).
fof(f917,conjecture,
hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,insert_a(hAPP_pname_a(mgt_call,pn),g)),image_pname_a(mgt_call,u))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_6) ).
fof(f4359,plain,
! [X2,X0,X1] :
( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,insert_a(X0,X1)),X2))
| ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X1),X2))
| ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X0),X2)) ),
inference(cnf_transformation,[],[f3011]) ).
fof(f3011,plain,
! [X0,X1,X2] :
( ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,insert_a(X0,X1)),X2))
| ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X1),X2))
| ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X0),X2)) )
& ( ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X1),X2))
& hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X0),X2)) )
| ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,insert_a(X0,X1)),X2)) ) ),
inference(flattening,[],[f3010]) ).
fof(f3010,plain,
! [X0,X1,X2] :
( ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,insert_a(X0,X1)),X2))
| ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X1),X2))
| ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X0),X2)) )
& ( ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X1),X2))
& hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X0),X2)) )
| ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,insert_a(X0,X1)),X2)) ) ),
inference(nnf_transformation,[],[f1685]) ).
fof(f1685,plain,
! [X0,X1,X2] :
( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,insert_a(X0,X1)),X2))
<=> ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X1),X2))
& hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X0),X2)) ) ),
inference(rectify,[],[f428]) ).
fof(f428,axiom,
! [X10,X4,X9] :
( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,insert_a(X10,X4)),X9))
<=> ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X4),X9))
& hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X10),X9)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_324_insert__subset) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWW473+2 : TPTP v8.1.2. Released v5.3.0.
% 0.12/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.36 % Computer : n006.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 : Tue Apr 30 03:10:20 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % (8741)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.43 % (8745)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.21/0.43 % (8744)WARNING: value z3 for option sas not known
% 0.21/0.43 % (8742)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.21/0.43 % (8743)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.21/0.43 % (8744)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.21/0.43 % (8746)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.21/0.43 % (8747)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.21/0.43 % (8748)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 3.19/0.87 TRYING [1]
% 3.81/0.94 TRYING [2]
% 7.05/1.42 TRYING [1]
% 7.50/1.52 TRYING [3]
% 7.50/1.55 TRYING [2]
% 8.72/1.65 TRYING [1]
% 8.72/1.67 TRYING [2]
% 9.90/1.87 TRYING [3]
% 13.16/2.32 TRYING [4]
% 14.22/2.50 TRYING [4]
% 16.81/2.81 TRYING [3]
% 27.35/4.31 TRYING [5]
% 27.35/4.33 TRYING [5]
% 29.92/4.69 TRYING [4]
% 57.66/8.63 TRYING [6]
% 57.99/8.71 TRYING [6]
% 100.12/14.72 % (8747)First to succeed.
% 100.74/14.75 % (8747)Refutation found. Thanks to Tanya!
% 100.74/14.75 % SZS status Theorem for theBenchmark
% 100.74/14.75 % SZS output start Proof for theBenchmark
% See solution above
% 100.74/14.75 % (8747)------------------------------
% 100.74/14.75 % (8747)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 100.74/14.75 % (8747)Termination reason: Refutation
% 100.74/14.75
% 100.74/14.75 % (8747)Memory used [KB]: 204643
% 100.74/14.75 % (8747)Time elapsed: 14.291 s
% 100.74/14.75 % (8747)Instructions burned: 33214 (million)
% 100.74/14.75 % (8747)------------------------------
% 100.74/14.75 % (8747)------------------------------
% 100.74/14.75 % (8741)Success in time 14.267 s
%------------------------------------------------------------------------------