%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWW951+1 : TPTP v9.3.1. Released v7.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 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 01:38:05 PM UTC 2026
% Result : Theorem 0.19s 1.30s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 9
% Syntax : Number of formulae : 41 ( 14 unt; 3 def)
% Number of atoms : 74 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 69 ( 36 ~; 25 |; 1 &)
% ( 3 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 4 prp; 0-1 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-1 aty)
% Number of variables : 23 ( 0 sgn 23 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f47,axiom,
! [X0] :
( pred_attacker(tuple_T_out_4(X0))
=> pred_attacker(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax46) ).
fof(f50,axiom,
! [X0] :
( pred_attacker(X0)
=> pred_attacker(tuple_T_in_3(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax49) ).
fof(f52,axiom,
! [X0] :
( pred_attacker(X0)
=> pred_attacker(tuple_T_in_1(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax51) ).
fof(f58,axiom,
pred_attacker(constr_CONST_0x30),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax57) ).
fof(f65,axiom,
! [X0,X1] :
( ( pred_attacker(tuple_T_in_3(X0))
& pred_attacker(tuple_T_in_1(X1)) )
=> pred_attacker(tuple_T_out_4(name_objective)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax64) ).
fof(f66,conjecture,
pred_attacker(name_objective),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co0) ).
fof(f67,negated_conjecture,
~ pred_attacker(name_objective),
inference(negated_conjecture,[status(cth)],[f66]) ).
fof(f68,plain,
~ pred_attacker(name_objective),
inference(flattening,[],[f67]) ).
fof(f74,plain,
! [X0] :
( pred_attacker(X0)
| ~ pred_attacker(tuple_T_out_4(X0)) ),
inference(ennf_transformation,[],[f47]) ).
fof(f77,plain,
! [X0] :
( pred_attacker(tuple_T_in_3(X0))
| ~ pred_attacker(X0) ),
inference(ennf_transformation,[],[f50]) ).
fof(f79,plain,
! [X0] :
( pred_attacker(tuple_T_in_1(X0))
| ~ pred_attacker(X0) ),
inference(ennf_transformation,[],[f52]) ).
fof(f86,plain,
! [X0,X1] :
( pred_attacker(tuple_T_out_4(name_objective))
| ~ pred_attacker(tuple_T_in_3(X0))
| ~ pred_attacker(tuple_T_in_1(X1)) ),
inference(ennf_transformation,[],[f65]) ).
fof(f87,plain,
! [X0,X1] :
( pred_attacker(tuple_T_out_4(name_objective))
| ~ pred_attacker(tuple_T_in_3(X0))
| ~ pred_attacker(tuple_T_in_1(X1)) ),
inference(flattening,[],[f86]) ).
fof(f134,plain,
! [X0] :
( ~ pred_attacker(tuple_T_out_4(X0))
| pred_attacker(X0) ),
inference(cnf_transformation,[],[f74]) ).
fof(f137,plain,
! [X0] :
( pred_attacker(tuple_T_in_3(X0))
| ~ pred_attacker(X0) ),
inference(cnf_transformation,[],[f77]) ).
fof(f139,plain,
! [X0] :
( pred_attacker(tuple_T_in_1(X0))
| ~ pred_attacker(X0) ),
inference(cnf_transformation,[],[f79]) ).
fof(f145,plain,
pred_attacker(constr_CONST_0x30),
inference(cnf_transformation,[],[f58]) ).
fof(f151,plain,
! [X0,X1] :
( pred_attacker(tuple_T_out_4(name_objective))
| ~ pred_attacker(tuple_T_in_3(X0))
| ~ pred_attacker(tuple_T_in_1(X1)) ),
inference(cnf_transformation,[],[f87]) ).
fof(f152,plain,
~ pred_attacker(name_objective),
inference(cnf_transformation,[],[f68]) ).
fof(f197,definition,
( spl1_1
<=> ! [X1] : ~ pred_attacker(tuple_T_in_1(X1)) ),
introduced(definition,[new_symbols(definition,[spl1_1])],[avatar_definition]) ).
fof(f198,plain,
( ! [X1] : ~ pred_attacker(tuple_T_in_1(X1))
| ~ spl1_1 ),
inference(avatar_component_clause,[],[f197]) ).
fof(f200,definition,
( spl1_2
<=> ! [X0] : ~ pred_attacker(tuple_T_in_3(X0)) ),
introduced(definition,[new_symbols(definition,[spl1_2])],[avatar_definition]) ).
fof(f201,plain,
( ! [X0] : ~ pred_attacker(tuple_T_in_3(X0))
| ~ spl1_2 ),
inference(avatar_component_clause,[],[f200]) ).
fof(f203,definition,
( spl1_3
<=> pred_attacker(tuple_T_out_4(name_objective)) ),
introduced(definition,[new_symbols(definition,[spl1_3])],[avatar_definition]) ).
fof(f204,plain,
( pred_attacker(tuple_T_out_4(name_objective))
| ~ spl1_3 ),
inference(avatar_component_clause,[],[f203]) ).
fof(f205,plain,
( spl1_1
| spl1_2
| spl1_3 ),
inference(avatar_split_clause,[],[f151,f203,f200,f197]) ).
fof(f208,plain,
( ! [X0] : ~ pred_attacker(X0)
| ~ spl1_2 ),
inference(resolution,[],[f137,f201]) ).
fof(f209,plain,
( $false
| ~ spl1_2 ),
inference(resolution,[],[f208,f145]) ).
fof(f232,plain,
~ spl1_2,
inference(avatar_contradiction_clause,[],[f209]) ).
fof(f233,plain,
( pred_attacker(name_objective)
| ~ spl1_3 ),
inference(resolution,[],[f204,f134]) ).
fof(f234,plain,
( $false
| ~ spl1_3 ),
inference(resolution,[],[f233,f152]) ).
fof(f235,plain,
~ spl1_3,
inference(avatar_contradiction_clause,[],[f234]) ).
fof(f237,plain,
( ! [X0] : ~ pred_attacker(X0)
| ~ spl1_1 ),
inference(resolution,[],[f139,f198]) ).
fof(f238,plain,
( $false
| ~ spl1_1 ),
inference(resolution,[],[f237,f145]) ).
fof(f262,plain,
~ spl1_1,
inference(avatar_contradiction_clause,[],[f238]) ).
cnf(s1,plain,
( spl1_1
| spl1_2
| spl1_3 ),
inference(sat_conversion,[],[f205]) ).
cnf(s11,plain,
~ spl1_2,
inference(sat_conversion,[],[f232]) ).
cnf(s12,plain,
~ spl1_3,
inference(sat_conversion,[],[f235]) ).
cnf(s22,plain,
~ spl1_1,
inference(sat_conversion,[],[f262]) ).
cnf(s23,plain,
$false,
inference(rat,[],[s1,s12,s11,s22]) ).
fof(f263,plain,
$false,
inference(avatar_sat_refutation,[],[s23]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW951+1 : TPTP v9.3.1. Released v7.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.19 % Computer : n018.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Mon Sep 28 14:49:55 UTC 2026
% 0.08/0.20 % CPUTime :
% 0.08/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.23 Running first-order theorem proving
% 0.08/0.23 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/1.30 % (3444603)Detected formulas, will run a generic FOF schedule.
% 0.19/1.30 % (3444608)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=831311233:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 0.19/1.30 % (3444610)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=1906533979:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 0.19/1.30 % (3444614)dis-21_1_sil=8000:lcm=predicate:random_seed=3698532780:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 0.19/1.30 % (3444613)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3547857966:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 0.19/1.30 % (3444611)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=437656429:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 0.19/1.30 % (3444609)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=1677906306:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 0.19/1.30 % (3444612)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3271637434:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 0.19/1.30 % (3444611)Refutation not found, incomplete strategy
% 0.19/1.30 % (3444611)------------------------------
% 0.19/1.30 % (3444611)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.19/1.30 % (3444611)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/1.30 % (3444611)CaDiCaL version: 2.1.3
% 0.19/1.30 % (3444611)Termination reason: Refutation not found, incomplete strategy
% 0.19/1.30 % (3444611)Time elapsed: 0.001 s
% 0.19/1.30 % (3444611)Peak memory usage: 87 MB
% 0.19/1.30 % (3444612)Refutation not found, incomplete strategy
% 0.19/1.30 % (3444612)------------------------------
% 0.19/1.30 % (3444612)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.19/1.30 % (3444612)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/1.30 % (3444612)CaDiCaL version: 2.1.3
% 0.19/1.30 % (3444612)Termination reason: Refutation not found, incomplete strategy
% 0.19/1.30 % (3444612)Time elapsed: 0.001 s
% 0.19/1.30 % (3444612)Peak memory usage: 87 MB
% 0.19/1.30 % (3444614)First to succeed.
% 0.19/1.30 % (3444613)Also succeeded, but the first one will report.
% 0.19/1.30 % (3444614)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3444603"
% 0.19/1.30 % (3444611)------------------------------
% 0.19/1.30 % (3444611)------------------------------
% 0.19/1.30 % (3444612)------------------------------
% 0.19/1.30 % (3444612)------------------------------
% 0.19/1.30 % (3444614)Refutation found. Thanks to Tanya!
% 0.19/1.30 % SZS status Theorem for theBenchmark
% 0.19/1.30 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/1.30 % (3444614)------------------------------
% 0.19/1.30 % (3444614)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.19/1.30 % (3444614)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/1.30 % (3444614)CaDiCaL version: 2.1.3
% 0.19/1.30 % (3444614)Termination reason: Refutation
% 0.19/1.30 % (3444614)Time elapsed: 0.003 s
% 0.19/1.30 % (3444614)Peak memory usage: 89 MB
% 0.19/1.30 % (3444614)Instructions burned: 3 (million)
% 0.19/1.30 % (3444614)------------------------------
% 0.19/1.30 % (3444614)------------------------------
% 0.19/1.30 % (3444603)Success in time 0.432 s
% 0.19/1.30 % Vampire exiting
%------------------------------------------------------------------------------