%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWW962+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 : n012.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 01:38:06 PM UTC 2026
% Result : Theorem 2.03s 0.67s
% Output : Refutation 2.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 5
% Syntax : Number of formulae : 19 ( 15 unt; 0 def)
% Number of atoms : 23 ( 6 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 12 ( 8 ~; 3 |; 0 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 27 ( 26 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f83,axiom,
! [X0,X1,X2] : tuple_assoc_pair(X0,tuple_assoc_pair(X1,X2)) = tuple_assoc_pair(tuple_assoc_pair(X0,X1),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax82) ).
fof(f86,axiom,
! [X0,X1] : constr_assoc_pair_2_get_1(tuple_assoc_pair(X0,X1)) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax85) ).
fof(f144,axiom,
! [X0,X1] :
( pred_attacker(tuple_assoc_pair(X0,X1))
=> pred_attacker(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax143) ).
fof(f159,axiom,
pred_attacker(name_I),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax158) ).
fof(f177,conjecture,
! [X0] : pred_attacker(tuple_2(name_Nb(X0),name_objective)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co0) ).
fof(f178,negated_conjecture,
~ ! [X0] : pred_attacker(tuple_2(name_Nb(X0),name_objective)),
inference(negated_conjecture,[status(cth)],[f177]) ).
fof(f179,plain,
? [X0] : ~ pred_attacker(tuple_2(name_Nb(X0),name_objective)),
inference(ennf_transformation,[],[f178]) ).
fof(f206,plain,
! [X0,X1] :
( pred_attacker(X0)
| ~ pred_attacker(tuple_assoc_pair(X0,X1)) ),
inference(ennf_transformation,[],[f144]) ).
fof(f213,plain,
~ pred_attacker(tuple_2(name_Nb(sK0),name_objective)),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f179]) ).
fof(f214,plain,
~ pred_attacker(tuple_2(name_Nb(sK0),name_objective)),
inference(cnf_transformation,[],[f213]) ).
fof(f236,plain,
pred_attacker(name_I),
inference(cnf_transformation,[],[f159]) ).
fof(f250,plain,
! [X0,X1] : constr_assoc_pair_2_get_1(tuple_assoc_pair(X0,X1)) = X1,
inference(cnf_transformation,[],[f86]) ).
fof(f263,plain,
! [X0,X1] :
( ~ pred_attacker(tuple_assoc_pair(X0,X1))
| pred_attacker(X0) ),
inference(cnf_transformation,[],[f206]) ).
fof(f265,plain,
! [X2,X0,X1] : tuple_assoc_pair(X0,tuple_assoc_pair(X1,X2)) = tuple_assoc_pair(tuple_assoc_pair(X0,X1),X2),
inference(cnf_transformation,[],[f83]) ).
fof(f293,plain,
! [X2,X0,X1] : constr_assoc_pair_2_get_1(tuple_assoc_pair(X0,tuple_assoc_pair(X1,X2))) = X2,
inference(superposition,[],[f250,f265]) ).
fof(f294,plain,
! [X2,X1] : tuple_assoc_pair(X1,X2) = X2,
inference(forward_demodulation,[],[f293,f250]) ).
fof(f301,plain,
! [X0,X1] :
( pred_attacker(X1)
| ~ pred_attacker(X0) ),
inference(superposition,[],[f263,f294]) ).
fof(f317,plain,
! [X0] : ~ pred_attacker(X0),
inference(resolution,[],[f301,f214]) ).
fof(f330,plain,
$false,
inference(resolution,[],[f317,f236]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SWW962+1 : TPTP v9.3.1. Released v7.4.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.00/0.10 % Computer : n012.cluster.edu
% 0.00/0.10 % Model : x86_64 x86_64
% 0.00/0.10 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.00/0.10 % Memory : 8046.5625MB
% 0.00/0.10 % OS : Linux 6.8.0-71-generic
% 0.00/0.10 % CPULimit : 300
% 0.00/0.10 % WCLimit : 300
% 0.00/0.10 % DateTime : Mon Sep 28 14:48:49 UTC 2026
% 0.00/0.10 % CPUTime :
% 0.00/0.10 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.12 Running first-order theorem proving
% 0.08/0.12 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
% 2.03/0.67 % (3430866)Detected formulas, will run a generic FOF schedule.
% 2.03/0.67 % (3430876)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=550510927:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.03/0.67 % (3430871)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=3161244627:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.03/0.67 % (3430874)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2886230362:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.03/0.67 % (3430875)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=4024022126:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.03/0.67 % (3430873)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=1347249824:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.03/0.67 % (3430872)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=318495157:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.03/0.67 % (3430874)Refutation not found, incomplete strategy
% 2.03/0.67 % (3430874)------------------------------
% 2.03/0.67 % (3430874)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.03/0.67 % (3430874)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.03/0.67 % (3430874)CaDiCaL version: 2.1.3
% 2.03/0.67 % (3430874)Termination reason: Refutation not found, incomplete strategy
% 2.03/0.67 % (3430874)Time elapsed: 0.001 s
% 2.03/0.67 % (3430874)Peak memory usage: 88 MB
% 2.03/0.67 % (3430874)Instructions burned: 1 (million)
% 2.03/0.67 % (3430875)First to succeed.
% 2.03/0.67 % (3430875)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3430866"
% 2.03/0.67 % (3430876)Also succeeded, but the first one will report.
% 2.03/0.67 % (3430877)dis-21_1_sil=8000:lcm=predicate:random_seed=145449546: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)
% 2.03/0.67 % (3430877)Refutation not found, incomplete strategy
% 2.03/0.67 % (3430877)------------------------------
% 2.03/0.67 % (3430877)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.03/0.67 % (3430877)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.03/0.67 % (3430877)CaDiCaL version: 2.1.3
% 2.03/0.67 % (3430877)Termination reason: Refutation not found, incomplete strategy
% 2.03/0.67 % (3430877)Time elapsed: 0.005 s
% 2.03/0.67 % (3430877)Peak memory usage: 89 MB
% 2.03/0.67 % (3430877)Instructions burned: 14 (million)
% 2.03/0.67 % (3430874)------------------------------
% 2.03/0.67 % (3430874)------------------------------
% 2.03/0.67 % (3430875)Refutation found. Thanks to Tanya!
% 2.03/0.67 % SZS status Theorem for theBenchmark
% 2.03/0.67 % SZS output start Proof for theBenchmark
% See solution above
% 2.03/0.67 % (3430875)------------------------------
% 2.03/0.67 % (3430875)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.03/0.67 % (3430875)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.03/0.67 % (3430875)CaDiCaL version: 2.1.3
% 2.03/0.67 % (3430875)Termination reason: Refutation
% 2.03/0.67 % (3430875)Time elapsed: 0.002 s
% 2.03/0.67 % (3430875)Peak memory usage: 88 MB
% 2.03/0.67 % (3430875)Instructions burned: 4 (million)
% 2.03/0.67 % (3430875)------------------------------
% 2.03/0.67 % (3430875)------------------------------
% 2.03/0.67 % (3430866)Success in time 0.261 s
% 2.03/0.67 % Vampire exiting
%------------------------------------------------------------------------------