%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWW473+1 : TPTP v9.3.1. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 01:40:09 PM UTC 2026
% Result : Theorem 0.79s 0.44s
% Output : Refutation 0.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 6
% Syntax : Number of formulae : 28 ( 17 unt; 0 def)
% Number of atoms : 47 ( 6 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 38 ( 19 ~; 15 |; 1 &)
% ( 1 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 24 ( 24 usr; 9 con; 0-2 aty)
% Number of variables : 38 ( 38 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f258,axiom,
! [X0,X1,X2,X3] :
( X1 = hAPP_pname_a(X2,X3)
=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X3),X0))
=> hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X1),image_pname_a(X2,X0))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_176_image__eqI) ).
fof(f276,axiom,
! [X0,X1] : insert_a(X0,X1) = collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),X0)),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),X1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_194_insert__compr) ).
fof(f356,axiom,
! [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_a85458249l_bool(member_a,X0),X2))
& hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X1),X2)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_274_insert__subset) ).
fof(f444,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(f447,axiom,
hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,pn),u)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_4) ).
fof(f449,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(f450,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,[status(cth)],[f449]) ).
fof(f451,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,[],[f450]) ).
fof(f699,plain,
! [X0,X1,X2,X3] :
( hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X1),image_pname_a(X2,X0)))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X3),X0))
| hAPP_pname_a(X2,X3) != X1 ),
inference(ennf_transformation,[],[f258]) ).
fof(f700,plain,
! [X0,X1,X2,X3] :
( hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X1),image_pname_a(X2,X0)))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X3),X0))
| hAPP_pname_a(X2,X3) != X1 ),
inference(flattening,[],[f699]) ).
fof(f1120,plain,
! [X2,X3,X0,X1] :
( hAPP_pname_a(X2,X3) != X1
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X3),X0))
| hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X1),image_pname_a(X2,X0))) ),
inference(cnf_transformation,[],[f700]) ).
fof(f1141,plain,
! [X0,X1] : insert_a(X0,X1) = collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),X0)),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),X1))),
inference(cnf_transformation,[],[f276]) ).
fof(f1257,plain,
! [X2,X0,X1] :
( ~ 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(cnf_transformation,[],[f356]) ).
fof(f1363,plain,
hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,g),image_pname_a(mgt_call,u))),
inference(cnf_transformation,[],[f444]) ).
fof(f1366,plain,
hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,pn),u)),
inference(cnf_transformation,[],[f447]) ).
fof(f1368,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,[],[f451]) ).
fof(f1484,plain,
! [X2,X0,X1] :
( ~ 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,collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),X0)),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),X1)))),X2)) ),
inference(definition_unfolding,[],[f1257,f1141]) ).
fof(f1501,plain,
~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),hAPP_pname_a(mgt_call,pn))),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),g)))),image_pname_a(mgt_call,u))),
inference(definition_unfolding,[],[f1368,f1141]) ).
fof(f1506,plain,
! [X2,X3,X0] :
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X3),X0))
| hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,hAPP_pname_a(X2,X3)),image_pname_a(X2,X0))) ),
inference(equality_resolution,[],[f1120]) ).
fof(f1814,plain,
! [X2,X3,X0] :
( ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,hAPP_pname_a(X2,X3)),image_pname_a(X2,X0)))
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X3),X0)) ),
inference(consistent_polarity_flipping,[],[f1506]) ).
fof(f1921,plain,
! [X2,X0,X1] :
( ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),X0)),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),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)) ),
inference(consistent_polarity_flipping,[],[f1484]) ).
fof(f1990,plain,
~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,g),image_pname_a(mgt_call,u))),
inference(consistent_polarity_flipping,[],[f1363]) ).
fof(f1992,plain,
~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,pn),u)),
inference(consistent_polarity_flipping,[],[f1366]) ).
fof(f1994,plain,
hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),hAPP_pname_a(mgt_call,pn))),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),g)))),image_pname_a(mgt_call,u))),
inference(consistent_polarity_flipping,[],[f1501]) ).
fof(f4214,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,[],[f1921,f1994]) ).
fof(f4229,plain,
hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,hAPP_pname_a(mgt_call,pn)),image_pname_a(mgt_call,u))),
inference(forward_subsumption_resolution,[],[f4214,f1990]) ).
fof(f4234,plain,
hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,pn),u)),
inference(resolution,[],[f4229,f1814]) ).
fof(f4237,plain,
$false,
inference(forward_subsumption_resolution,[],[f4234,f1992]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW473+1 : TPTP v9.3.1. Released v5.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.19 % Computer : n018.cluster.edu
% 0.10/0.19 % Model : x86_64 x86_64
% 0.10/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.19 % Memory : 8046.5625MB
% 0.10/0.19 % OS : Linux 6.8.0-71-generic
% 0.10/0.19 % CPULimit : 300
% 0.10/0.19 % WCLimit : 300
% 0.10/0.19 % DateTime : Mon Sep 28 14:08:25 UTC 2026
% 0.10/0.20 % CPUTime :
% 0.10/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.23 Running first-order model finding
% 0.10/0.23 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.79/0.44 % (3401079)Will run a generic schedule for satisfiability detection.
% 0.79/0.44 % (3401088)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=327166388:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.79/0.44 % (3401085)% WARNING: option uhcvi not known.
% 0.79/0.44 % (3401087)dis+10_1_sil=32000:sp=arity:random_seed=602162236:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.79/0.44 % (3401084)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=104792989_2999 on theBenchmark for (2999ds/0Mi)
% 0.79/0.44 % (3401085)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3007126716:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.79/0.44 % (3401086)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=4074222500:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.79/0.44 % (3401090)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1369425648:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.79/0.44 % (3401089)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1701743633:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.79/0.44 % (3401088)Instruction limit reached!
% 0.79/0.44 % (3401088)------------------------------
% 0.79/0.44 % (3401088)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.79/0.44 % (3401088)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.79/0.44 % (3401088)CaDiCaL version: 2.1.3
% 0.79/0.44 % (3401088)Termination reason: Instruction limit
% 0.79/0.44 % (3401088)Termination phase: Saturation
% 0.79/0.44 % (3401088)Time elapsed: 0.034 s
% 0.79/0.44 % (3401088)Peak memory usage: 14 MB
% 0.79/0.44 % (3401088)Instructions burned: 119 (million)
% 0.79/0.44 % (3401098)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2735835758:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.79/0.44 % (3401087)Instruction limit reached!
% 0.79/0.44 % (3401087)------------------------------
% 0.79/0.44 % (3401087)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.79/0.44 % (3401087)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.79/0.44 % (3401087)CaDiCaL version: 2.1.3
% 0.79/0.44 % (3401087)Termination reason: Instruction limit
% 0.79/0.44 % (3401087)Termination phase: Saturation
% 0.79/0.44 % (3401087)Time elapsed: 0.062 s
% 0.79/0.44 % (3401087)Peak memory usage: 13 MB
% 0.79/0.44 % (3401087)Instructions burned: 104 (million)
% 0.79/0.44 % (3401089)Instruction limit reached!
% 0.79/0.44 % (3401089)------------------------------
% 0.79/0.44 % (3401089)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.79/0.44 % (3401089)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.79/0.44 % (3401089)CaDiCaL version: 2.1.3
% 0.79/0.44 % (3401089)Termination reason: Instruction limit
% 0.79/0.44 % (3401089)Termination phase: Saturation
% 0.79/0.44 % (3401089)Time elapsed: 0.074 s
% 0.79/0.44 % (3401089)Peak memory usage: 14 MB
% 0.79/0.44 % (3401089)Instructions burned: 132 (million)
% 0.79/0.44 % (3401100)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=591558348:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 0.79/0.44 % (3401090)Instruction limit reached!
% 0.79/0.44 % (3401090)------------------------------
% 0.79/0.44 % (3401090)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.79/0.44 % (3401090)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.79/0.44 % (3401090)CaDiCaL version: 2.1.3
% 0.79/0.44 % (3401090)Termination reason: Instruction limit
% 0.79/0.44 % (3401090)Termination phase: Saturation
% 0.79/0.44 % (3401090)Time elapsed: 0.091 s
% 0.79/0.44 % (3401090)Peak memory usage: 15 MB
% 0.79/0.44 % (3401090)Instructions burned: 160 (million)
% 0.79/0.44 % (3401101)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=3796904732:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 0.79/0.44 % (3401103)ott-21_1_sil=16000:fs=off:random_seed=395866127:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 0.79/0.44 % TRYING [1]
% 0.79/0.44 % TRYING [2]
% 0.79/0.44 % (3401085) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3401079-3401085"...
% 0.79/0.44 % (3401085)...printing done.
% 0.79/0.44 % (3401085)Refutation found. Thanks to Tanya!
% 0.79/0.44 % SZS status Theorem for theBenchmark
% 0.79/0.44 % SZS output start Proof for theBenchmark
% See solution above
% 0.79/0.44 % (3401085)------------------------------
% 0.79/0.44 % (3401085)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.79/0.44 % (3401085)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.79/0.44 % (3401085)CaDiCaL version: 2.1.3
% 0.79/0.44 % (3401085)Termination reason: Refutation
% 0.79/0.44 % (3401085)Time elapsed: 0.149 s
% 0.79/0.44 % (3401085)Peak memory usage: 15 MB
% 0.79/0.44 % (3401085)Instructions burned: 237 (million)
% 0.79/0.44 % (3401079)Success in time 0.206 s
% 0.79/0.44 % Vampire exiting
%------------------------------------------------------------------------------