%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWW950+1 : TPTP v9.3.1. Released v7.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n013.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 01:45:14 PM UTC 2026
% Result : Theorem 0.19s 0.27s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 14
% Syntax : Number of formulae : 66 ( 19 unt; 4 def)
% Number of atoms : 127 ( 5 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 124 ( 63 ~; 49 |; 2 &)
% ( 4 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 7 ( 5 usr; 5 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 4 con; 0-2 aty)
% Number of variables : 41 ( 0 sgn 41 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f47,axiom,
! [X0] : constr_xor(X0,constr_ZERO) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax46) ).
fof(f48,axiom,
! [X0,X1] : constr_xor(X0,X1) = constr_xor(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax47) ).
fof(f54,axiom,
pred_attacker(constr_ZERO),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax53) ).
fof(f56,axiom,
! [X0] :
( pred_attacker(tuple_T_out_4(X0))
=> pred_attacker(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax55) ).
fof(f58,axiom,
! [X0] :
( pred_attacker(tuple_T_out_2(X0))
=> pred_attacker(X0) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',ax58) ).
fof(f62,axiom,
! [X0] :
( pred_attacker(X0)
=> pred_attacker(tuple_T_in_1(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax61) ).
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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',ax74) ).
fof(f76,conjecture,
pred_attacker(name_objective),
file('/export/starexec/sandbox2/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(f146,plain,
! [X0] : constr_xor(X0,constr_ZERO) = X0,
inference(cnf_transformation,[],[f47]) ).
fof(f147,plain,
! [X0,X1] : constr_xor(X0,X1) = constr_xor(X1,X0),
inference(cnf_transformation,[],[f48]) ).
fof(f153,plain,
pred_attacker(constr_ZERO),
inference(cnf_transformation,[],[f54]) ).
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(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_in_1(X1))
| ~ pred_attacker(tuple_T_in_3(X0,constr_h(constr_xor(X0,constr_xor(name_k0x30,name_ki)))))
| pred_attacker(tuple_T_out_4(name_objective)) ),
inference(cnf_transformation,[],[f99]) ).
fof(f174,plain,
~ pred_attacker(name_objective),
inference(cnf_transformation,[],[f78]) ).
fof(f176,definition,
( spl0_1
<=> pred_attacker(tuple_T_out_4(name_objective)) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f178,plain,
( pred_attacker(tuple_T_out_4(name_objective))
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f176]) ).
fof(f180,definition,
( spl0_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,[spl0_2])],[avatar_definition]) ).
fof(f181,plain,
( ! [X0] : ~ pred_attacker(tuple_T_in_3(X0,constr_h(constr_xor(X0,constr_xor(name_k0x30,name_ki)))))
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f180]) ).
fof(f183,definition,
( spl0_3
<=> ! [X1] : ~ pred_attacker(tuple_T_in_1(X1)) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f184,plain,
( ! [X1] : ~ pred_attacker(tuple_T_in_1(X1))
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f183]) ).
fof(f185,plain,
( spl0_1
| spl0_2
| spl0_3 ),
inference(avatar_split_clause,[],[f173,f183,f180,f176]) ).
fof(f192,plain,
! [X0] : constr_xor(constr_ZERO,X0) = X0,
inference(superposition,[],[f146,f147]) ).
fof(f205,plain,
( ! [X0] :
( ~ pred_attacker(constr_h(constr_xor(X0,constr_xor(name_k0x30,name_ki))))
| ~ pred_attacker(X0) )
| ~ spl0_2 ),
inference(resolution,[],[f181,f158]) ).
fof(f244,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(f251,definition,
( spl0_6
<=> pred_attacker(tuple_T_in_1(constr_ZERO)) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f252,plain,
( pred_attacker(tuple_T_in_1(constr_ZERO))
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f251]) ).
fof(f253,plain,
( ~ pred_attacker(tuple_T_in_1(constr_ZERO))
| spl0_6 ),
inference(avatar_component_clause,[],[f251]) ).
fof(f271,plain,
( ~ pred_attacker(constr_ZERO)
| spl0_6 ),
inference(resolution,[],[f253,f161]) ).
fof(f272,plain,
( $false
| spl0_6 ),
inference(forward_subsumption_resolution,[],[f271,f153]) ).
fof(f273,plain,
spl0_6,
inference(avatar_contradiction_clause,[],[f272]) ).
fof(f307,plain,
( ~ pred_attacker(constr_h(constr_xor(name_k0x30,name_ki)))
| ~ pred_attacker(constr_ZERO)
| ~ spl0_2 ),
inference(superposition,[],[f205,f192]) ).
fof(f309,plain,
( ~ pred_attacker(constr_h(constr_xor(name_k0x30,name_ki)))
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f307,f153]) ).
fof(f375,plain,
( pred_attacker(constr_h(constr_xor(name_k0x30,name_ki)))
| ~ pred_attacker(tuple_T_in_1(constr_ZERO)) ),
inference(superposition,[],[f244,f192]) ).
fof(f377,plain,
( ~ pred_attacker(tuple_T_in_1(constr_ZERO))
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f375,f309]) ).
fof(f381,plain,
( $false
| ~ spl0_2
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[],[f377,f252]) ).
fof(f382,plain,
( ~ spl0_2
| ~ spl0_6 ),
inference(avatar_contradiction_clause,[],[f381]) ).
fof(f385,plain,
( $false
| ~ spl0_3
| ~ spl0_6 ),
inference(resolution,[],[f184,f252]) ).
fof(f386,plain,
( ~ spl0_3
| ~ spl0_6 ),
inference(avatar_contradiction_clause,[],[f385]) ).
fof(f388,plain,
( pred_attacker(name_objective)
| ~ spl0_1 ),
inference(resolution,[],[f178,f155]) ).
fof(f389,plain,
( $false
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f388,f174]) ).
fof(f390,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f389]) ).
cnf(s1,plain,
( spl0_1
| spl0_2
| spl0_3 ),
inference(sat_conversion,[],[f185]) ).
cnf(s6,plain,
spl0_6,
inference(sat_conversion,[],[f273]) ).
cnf(s9,plain,
( ~ spl0_2
| ~ spl0_6 ),
inference(sat_conversion,[],[f382]) ).
cnf(s11,plain,
( ~ spl0_3
| ~ spl0_6 ),
inference(sat_conversion,[],[f386]) ).
cnf(s12,plain,
~ spl0_1,
inference(sat_conversion,[],[f390]) ).
cnf(s13,plain,
~ spl0_3,
inference(rat,[],[s11,s6]) ).
cnf(s14,plain,
~ spl0_2,
inference(rat,[],[s9,s6]) ).
cnf(s16,plain,
$false,
inference(rat,[],[s1,s13,s14,s12]) ).
fof(f391,plain,
$false,
inference(avatar_sat_refutation,[],[s16]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW950+1 : TPTP v9.3.1. Released v7.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.18 % Computer : n013.cluster.edu
% 0.09/0.18 % Model : x86_64 x86_64
% 0.09/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18 % Memory : 8046.5625MB
% 0.09/0.18 % OS : Linux 6.8.0-71-generic
% 0.09/0.18 % CPULimit : 300
% 0.09/0.18 % WCLimit : 300
% 0.09/0.18 % DateTime : Mon Sep 28 14:47:06 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.22 Running first-order model finding
% 0.09/0.22 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.27 % (1235760)Will run a generic schedule for satisfiability detection.
% 0.19/0.27 % (1235765)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2705936508_2999 on theBenchmark for (2999ds/0Mi)
% 0.19/0.27 % Detected minimum model sizes of [10]
% 0.19/0.27 % Detected maximum model sizes of [max]
% 0.19/0.27 % TRYING [10]
% 0.19/0.27 % (1235766)% WARNING: option uhcvi not known.
% 0.19/0.27 % (1235766)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3800098143:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.19/0.27 % (1235767)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=173927323:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.19/0.27 % (1235769)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1066912175:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.19/0.27 % (1235768)dis+10_1_sil=32000:sp=arity:random_seed=1168385482:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.19/0.27 % (1235770)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=4243216:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.19/0.27 % (1235771)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=817429293:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.19/0.27 % (1235769) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1235760-1235769"...
% 0.19/0.27 % (1235766) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1235760-1235766"...
% 0.19/0.27 % (1235768) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1235760-1235768"...
% 0.19/0.27 % (1235769)...printing done.
% 0.19/0.27 % (1235766)...printing done.
% 0.19/0.27 % (1235768)...printing done.
% 0.19/0.27 % (1235769)Refutation found. Thanks to Tanya!
% 0.19/0.27 % SZS status Theorem for theBenchmark
% 0.19/0.27 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.27 % (1235769)------------------------------
% 0.19/0.27 % (1235769)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.27 % (1235769)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.27 % (1235769)CaDiCaL version: 2.1.3
% 0.19/0.27 % (1235769)Termination reason: Refutation
% 0.19/0.27 % (1235769)Time elapsed: 0.007 s
% 0.19/0.27 % (1235769)Peak memory usage: 12 MB
% 0.19/0.27 % (1235769)Instructions burned: 9 (million)
% 0.19/0.27 % (1235760)Success in time 0.044 s
% 0.19/0.27 % Vampire exiting
%------------------------------------------------------------------------------