%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWV253-1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 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 01:20:36 PM UTC 2026
% Result : Unsatisfiable 0.09s 0.22s
% Output : Refutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 5
% Syntax : Number of formulae : 26 ( 5 unt; 2 def)
% Number of atoms : 50 ( 14 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 44 ( 20 ~; 22 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 3 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-1 aty)
% Number of variables : 1 ( 0 sgn 1 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3326,axiom,
! [X0] : c_Message_OinvKey(c_Message_OinvKey(X0)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_OinvKey_A_IinvKey_Ay_J_A_61_61_Ay_0) ).
fof(f3350,negated_conjecture,
( v_K != v_K_H
| c_Message_OinvKey(v_K) != c_Message_OinvKey(v_K_H) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f3351,negated_conjecture,
( c_Message_OinvKey(v_K) = c_Message_OinvKey(v_K_H)
| v_K = v_K_H ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f3577,definition,
( spl0_1
<=> v_K = v_K_H ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f3578,plain,
( v_K != v_K_H
| spl0_1 ),
inference(avatar_component_clause,[],[f3577]) ).
fof(f3579,plain,
( v_K = v_K_H
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f3577]) ).
fof(f3581,definition,
( spl0_2
<=> c_Message_OinvKey(v_K) = c_Message_OinvKey(v_K_H) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f3582,plain,
( c_Message_OinvKey(v_K) != c_Message_OinvKey(v_K_H)
| spl0_2 ),
inference(avatar_component_clause,[],[f3581]) ).
fof(f3583,plain,
( c_Message_OinvKey(v_K) = c_Message_OinvKey(v_K_H)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f3581]) ).
fof(f3584,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f3351,f3581,f3577]) ).
fof(f3585,plain,
( ~ spl0_2
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f3350,f3577,f3581]) ).
fof(f4367,plain,
( v_K_H = c_Message_OinvKey(c_Message_OinvKey(v_K))
| ~ spl0_2 ),
inference(superposition,[],[f3326,f3583]) ).
fof(f4368,plain,
( v_K = v_K_H
| ~ spl0_2 ),
inference(forward_demodulation,[],[f4367,f3326]) ).
fof(f4369,plain,
( $false
| spl0_1
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f4368,f3578]) ).
fof(f4370,plain,
( spl0_1
| ~ spl0_2 ),
inference(avatar_contradiction_clause,[],[f4369]) ).
fof(f4371,plain,
( c_Message_OinvKey(v_K) != c_Message_OinvKey(v_K)
| ~ spl0_1
| spl0_2 ),
inference(forward_demodulation,[],[f3582,f3579]) ).
fof(f4372,plain,
( $false
| ~ spl0_1
| spl0_2 ),
inference(trivial_inequality_removal,[],[f4371]) ).
fof(f4373,plain,
( ~ spl0_1
| spl0_2 ),
inference(avatar_contradiction_clause,[],[f4372]) ).
cnf(s1,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f3584]) ).
cnf(s2,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f3585]) ).
cnf(s6,plain,
( spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f4370]) ).
cnf(s7,plain,
( ~ spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f4373]) ).
cnf(s8,plain,
spl0_1,
inference(rat,[],[s1,s6]) ).
cnf(s9,plain,
spl0_2,
inference(rat,[],[s7,s8]) ).
cnf(s10,plain,
$false,
inference(rat,[],[s2,s9,s8]) ).
fof(f4374,plain,
$false,
inference(avatar_sat_refutation,[],[s10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SWV253-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 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 10:18:34 UTC 2026
% 0.00/0.11 % CPUTime :
% 0.00/0.11 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.12 Running first-order model finding
% 0.09/0.12 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
% 0.09/0.22 % (3283620)Will run a generic schedule for satisfiability detection.
% 0.09/0.22 % (3283626)% WARNING: option uhcvi not known.
% 0.09/0.22 % (3283626)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1343029555:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.09/0.22 % (3283631)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=297088202:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.09/0.22 % (3283625)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=92136408_2999 on theBenchmark for (2999ds/0Mi)
% 0.09/0.22 % (3283629)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1223202302:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.09/0.22 % (3283627)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1264175373:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.09/0.22 % (3283628)dis+10_1_sil=32000:sp=arity:random_seed=3821014805:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.09/0.22 % (3283630)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1641563407:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.09/0.22 % (3283628) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3283620-3283628"...
% 0.09/0.22 % (3283628)...printing done.
% 0.09/0.22 % (3283626) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3283620-3283626"...
% 0.09/0.22 % (3283628)Refutation found. Thanks to Tanya!
% 0.09/0.22 % SZS status Unsatisfiable for theBenchmark
% 0.09/0.22 % SZS output start Proof for theBenchmark
% See solution above
% 0.09/0.22 % (3283628)------------------------------
% 0.09/0.22 % (3283628)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.22 % (3283628)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.22 % (3283628)CaDiCaL version: 2.1.3
% 0.09/0.22 % (3283628)Termination reason: Refutation
% 0.09/0.22 % (3283628)Time elapsed: 0.021 s
% 0.09/0.22 % (3283628)Peak memory usage: 15 MB
% 0.09/0.22 % (3283628)Instructions burned: 68 (million)
% 0.09/0.22 % (3283620)Success in time 0.083 s
% 0.09/0.22 % Vampire exiting
%------------------------------------------------------------------------------