%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWW950+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 3.56s 1.19s
% Output : Refutation 3.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 12
% Syntax : Number of formulae : 57 ( 14 unt; 4 def)
% Number of atoms : 113 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 116 ( 60 ~; 44 |; 2 &)
% ( 4 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 6 ( 5 usr; 5 prp; 0-1 aty)
% Number of functors : 10 ( 10 usr; 4 con; 0-2 aty)
% Number of variables : 40 ( 0 sgn 40 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f56,axiom,
! [X0] :
( pred_attacker(tuple_T_out_4(X0))
=> pred_attacker(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax55) ).
fof(f58,axiom,
! [X0] :
( pred_attacker(tuple_T_out_2(X0))
=> pred_attacker(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax57) ).
fof(f59,axiom,
! [X0,X1] :
( ( pred_attacker(X0)
& pred_attacker(X1) )
=> pred_attacker(tuple_T_in_3(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax58) ).
fof(f62,axiom,
! [X0] :
( pred_attacker(X0)
=> pred_attacker(tuple_T_in_1(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax61) ).
fof(f68,axiom,
pred_attacker(constr_CONST_0x30),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax67) ).
fof(f74,axiom,
! [X0] :
( pred_attacker(tuple_T_in_1(X0))
=> pred_attacker(tuple_T_out_2(constr_h(constr_xor(X0,constr_xor(name_k0x30,name_ki))))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax73) ).
fof(f75,axiom,
! [X0,X1] :
( ( pred_attacker(tuple_T_in_3(X0,constr_h(constr_xor(X0,constr_xor(name_k0x30,name_ki)))))
& pred_attacker(tuple_T_in_1(X1)) )
=> pred_attacker(tuple_T_out_4(name_objective)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax74) ).
fof(f76,conjecture,
pred_attacker(name_objective),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co0) ).
fof(f77,negated_conjecture,
~ pred_attacker(name_objective),
inference(negated_conjecture,[status(cth)],[f76]) ).
fof(f78,plain,
~ pred_attacker(name_objective),
inference(flattening,[],[f77]) ).
fof(f84,plain,
! [X0] :
( pred_attacker(X0)
| ~ pred_attacker(tuple_T_out_4(X0)) ),
inference(ennf_transformation,[],[f56]) ).
fof(f86,plain,
! [X0] :
( pred_attacker(X0)
| ~ pred_attacker(tuple_T_out_2(X0)) ),
inference(ennf_transformation,[],[f58]) ).
fof(f87,plain,
! [X0,X1] :
( pred_attacker(tuple_T_in_3(X0,X1))
| ~ pred_attacker(X0)
| ~ pred_attacker(X1) ),
inference(ennf_transformation,[],[f59]) ).
fof(f88,plain,
! [X0,X1] :
( pred_attacker(tuple_T_in_3(X0,X1))
| ~ pred_attacker(X0)
| ~ pred_attacker(X1) ),
inference(flattening,[],[f87]) ).
fof(f91,plain,
! [X0] :
( pred_attacker(tuple_T_in_1(X0))
| ~ pred_attacker(X0) ),
inference(ennf_transformation,[],[f62]) ).
fof(f97,plain,
! [X0] :
( pred_attacker(tuple_T_out_2(constr_h(constr_xor(X0,constr_xor(name_k0x30,name_ki)))))
| ~ pred_attacker(tuple_T_in_1(X0)) ),
inference(ennf_transformation,[],[f74]) ).
fof(f98,plain,
! [X0,X1] :
( pred_attacker(tuple_T_out_4(name_objective))
| ~ pred_attacker(tuple_T_in_3(X0,constr_h(constr_xor(X0,constr_xor(name_k0x30,name_ki)))))
| ~ pred_attacker(tuple_T_in_1(X1)) ),
inference(ennf_transformation,[],[f75]) ).
fof(f99,plain,
! [X0,X1] :
( pred_attacker(tuple_T_out_4(name_objective))
| ~ pred_attacker(tuple_T_in_3(X0,constr_h(constr_xor(X0,constr_xor(name_k0x30,name_ki)))))
| ~ pred_attacker(tuple_T_in_1(X1)) ),
inference(flattening,[],[f98]) ).
fof(f155,plain,
! [X0] :
( ~ pred_attacker(tuple_T_out_4(X0))
| pred_attacker(X0) ),
inference(cnf_transformation,[],[f84]) ).
fof(f157,plain,
! [X0] :
( ~ pred_attacker(tuple_T_out_2(X0))
| pred_attacker(X0) ),
inference(cnf_transformation,[],[f86]) ).
fof(f158,plain,
! [X0,X1] :
( pred_attacker(tuple_T_in_3(X0,X1))
| ~ pred_attacker(X0)
| ~ pred_attacker(X1) ),
inference(cnf_transformation,[],[f88]) ).
fof(f161,plain,
! [X0] :
( pred_attacker(tuple_T_in_1(X0))
| ~ pred_attacker(X0) ),
inference(cnf_transformation,[],[f91]) ).
fof(f167,plain,
pred_attacker(constr_CONST_0x30),
inference(cnf_transformation,[],[f68]) ).
fof(f172,plain,
! [X0] :
( pred_attacker(tuple_T_out_2(constr_h(constr_xor(X0,constr_xor(name_k0x30,name_ki)))))
| ~ pred_attacker(tuple_T_in_1(X0)) ),
inference(cnf_transformation,[],[f97]) ).
fof(f173,plain,
! [X0,X1] :
( pred_attacker(tuple_T_out_4(name_objective))
| ~ pred_attacker(tuple_T_in_3(X0,constr_h(constr_xor(X0,constr_xor(name_k0x30,name_ki)))))
| ~ pred_attacker(tuple_T_in_1(X1)) ),
inference(cnf_transformation,[],[f99]) ).
fof(f174,plain,
~ pred_attacker(name_objective),
inference(cnf_transformation,[],[f78]) ).
fof(f228,definition,
( spl1_1
<=> ! [X1] : ~ pred_attacker(tuple_T_in_1(X1)) ),
introduced(definition,[new_symbols(definition,[spl1_1])],[avatar_definition]) ).
fof(f229,plain,
( ! [X1] : ~ pred_attacker(tuple_T_in_1(X1))
| ~ spl1_1 ),
inference(avatar_component_clause,[],[f228]) ).
fof(f231,definition,
( spl1_2
<=> ! [X0] : ~ pred_attacker(tuple_T_in_3(X0,constr_h(constr_xor(X0,constr_xor(name_k0x30,name_ki))))) ),
introduced(definition,[new_symbols(definition,[spl1_2])],[avatar_definition]) ).
fof(f232,plain,
( ! [X0] : ~ pred_attacker(tuple_T_in_3(X0,constr_h(constr_xor(X0,constr_xor(name_k0x30,name_ki)))))
| ~ spl1_2 ),
inference(avatar_component_clause,[],[f231]) ).
fof(f234,definition,
( spl1_3
<=> pred_attacker(tuple_T_out_4(name_objective)) ),
introduced(definition,[new_symbols(definition,[spl1_3])],[avatar_definition]) ).
fof(f235,plain,
( pred_attacker(tuple_T_out_4(name_objective))
| ~ spl1_3 ),
inference(avatar_component_clause,[],[f234]) ).
fof(f236,plain,
( spl1_1
| spl1_2
| spl1_3 ),
inference(avatar_split_clause,[],[f173,f234,f231,f228]) ).
fof(f291,plain,
( ! [X0] :
( ~ pred_attacker(constr_h(constr_xor(X0,constr_xor(name_k0x30,name_ki))))
| ~ pred_attacker(X0) )
| ~ spl1_2 ),
inference(resolution,[],[f158,f232]) ).
fof(f301,definition,
( spl1_5
<=> ! [X0] : ~ pred_attacker(X0) ),
introduced(definition,[new_symbols(definition,[spl1_5])],[avatar_definition]) ).
fof(f302,plain,
( ! [X0] : ~ pred_attacker(X0)
| ~ spl1_5 ),
inference(avatar_component_clause,[],[f301]) ).
fof(f313,plain,
! [X0] :
( pred_attacker(constr_h(constr_xor(X0,constr_xor(name_k0x30,name_ki))))
| ~ pred_attacker(tuple_T_in_1(X0)) ),
inference(resolution,[],[f172,f157]) ).
fof(f354,plain,
( ! [X0] :
( ~ pred_attacker(tuple_T_in_1(X0))
| ~ pred_attacker(X0) )
| ~ spl1_2 ),
inference(resolution,[],[f313,f291]) ).
fof(f355,plain,
( ! [X0] :
( ~ pred_attacker(X0)
| ~ pred_attacker(X0) )
| ~ spl1_2 ),
inference(resolution,[],[f354,f161]) ).
fof(f356,plain,
( ! [X0] : ~ pred_attacker(X0)
| ~ spl1_2 ),
inference(duplicate_literal_removal,[],[f355]) ).
fof(f357,plain,
( spl1_5
| ~ spl1_2 ),
inference(avatar_split_clause,[],[f356,f231,f301]) ).
fof(f358,plain,
( $false
| ~ spl1_5 ),
inference(resolution,[],[f302,f167]) ).
fof(f385,plain,
~ spl1_5,
inference(avatar_contradiction_clause,[],[f358]) ).
fof(f386,plain,
( pred_attacker(name_objective)
| ~ spl1_3 ),
inference(resolution,[],[f235,f155]) ).
fof(f387,plain,
( $false
| ~ spl1_3 ),
inference(resolution,[],[f386,f174]) ).
fof(f388,plain,
~ spl1_3,
inference(avatar_contradiction_clause,[],[f387]) ).
fof(f389,plain,
( ! [X0] : ~ pred_attacker(X0)
| ~ spl1_1 ),
inference(resolution,[],[f229,f161]) ).
fof(f390,plain,
( spl1_5
| ~ spl1_1 ),
inference(avatar_split_clause,[],[f389,f228,f301]) ).
cnf(s1,plain,
( spl1_1
| spl1_2
| spl1_3 ),
inference(sat_conversion,[],[f236]) ).
cnf(s4,plain,
( ~ spl1_2
| spl1_5 ),
inference(sat_conversion,[],[f357]) ).
cnf(s14,plain,
~ spl1_5,
inference(sat_conversion,[],[f385]) ).
cnf(s15,plain,
~ spl1_3,
inference(sat_conversion,[],[f388]) ).
cnf(s16,plain,
( ~ spl1_1
| spl1_5 ),
inference(sat_conversion,[],[f390]) ).
cnf(s17,plain,
~ spl1_1,
inference(rat,[],[s16,s14]) ).
cnf(s18,plain,
~ spl1_2,
inference(rat,[],[s4,s14]) ).
cnf(s19,plain,
$false,
inference(rat,[],[s1,s15,s18,s17]) ).
fof(f391,plain,
$false,
inference(avatar_sat_refutation,[],[s19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWW950+1 : TPTP v9.3.1. Released v7.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.18 % Computer : n018.cluster.edu
% 0.07/0.18 % Model : x86_64 x86_64
% 0.07/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18 % Memory : 8046.5625MB
% 0.07/0.18 % OS : Linux 6.8.0-71-generic
% 0.07/0.18 % CPULimit : 300
% 0.07/0.18 % WCLimit : 300
% 0.07/0.18 % DateTime : Mon Sep 28 14:49:25 UTC 2026
% 0.07/0.19 % CPUTime :
% 0.07/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.22 Running first-order theorem proving
% 0.07/0.22 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
% 3.56/1.19 % (3443771)Detected formulas, will run a generic FOF schedule.
% 3.56/1.19 % (3443776)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=4245660233:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.56/1.19 % (3443778)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=325853638:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.56/1.19 % (3443779)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2492546851:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.56/1.19 % (3443777)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=3494145044:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.56/1.19 % (3443779)Refutation not found, incomplete strategy
% 3.56/1.19 % (3443779)------------------------------
% 3.56/1.19 % (3443779)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.56/1.19 % (3443779)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.56/1.19 % (3443779)CaDiCaL version: 2.1.3
% 3.56/1.19 % (3443779)Termination reason: Refutation not found, incomplete strategy
% 3.56/1.19 % (3443779)Time elapsed: 0.001 s
% 3.56/1.19 % (3443779)Peak memory usage: 87 MB
% 3.56/1.19 % (3443780)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2115194450:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.56/1.19 % (3443782)dis-21_1_sil=8000:lcm=predicate:random_seed=2380928019: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)
% 3.56/1.19 % (3443781)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=582599959:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.56/1.19 % (3443780)Refutation not found, incomplete strategy
% 3.56/1.19 % (3443780)------------------------------
% 3.56/1.19 % (3443780)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.56/1.19 % (3443780)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.56/1.19 % (3443780)CaDiCaL version: 2.1.3
% 3.56/1.19 % (3443780)Termination reason: Refutation not found, incomplete strategy
% 3.56/1.19 % (3443780)Time elapsed: 0.001 s
% 3.56/1.19 % (3443780)Peak memory usage: 87 MB
% 3.56/1.19 % (3443782)First to succeed.
% 3.56/1.19 % (3443781)Also succeeded, but the first one will report.
% 3.56/1.19 % (3443782)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3443771"
% 3.56/1.19 % (3443779)------------------------------
% 3.56/1.19 % (3443779)------------------------------
% 3.56/1.19 % (3443780)------------------------------
% 3.56/1.19 % (3443780)------------------------------
% 3.56/1.19 % (3443782)Refutation found. Thanks to Tanya!
% 3.56/1.19 % SZS status Theorem for theBenchmark
% 3.56/1.19 % SZS output start Proof for theBenchmark
% See solution above
% 3.56/1.19 % (3443782)------------------------------
% 3.56/1.19 % (3443782)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.56/1.19 % (3443782)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.56/1.19 % (3443782)CaDiCaL version: 2.1.3
% 3.56/1.19 % (3443782)Termination reason: Refutation
% 3.56/1.19 % (3443782)Time elapsed: 0.005 s
% 3.56/1.19 % (3443782)Peak memory usage: 89 MB
% 3.56/1.19 % (3443782)Instructions burned: 5 (million)
% 3.56/1.19 % (3443782)------------------------------
% 3.56/1.19 % (3443782)------------------------------
% 3.56/1.19 % (3443771)Success in time 0.43 s
% 3.56/1.19 % Vampire exiting
%------------------------------------------------------------------------------