%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWV253-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n006.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 0.25s
% 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(f1,negated_conjecture,
( v_K != v_K_H
| c_Message_OinvKey(v_K) != c_Message_OinvKey(v_K_H) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f2,negated_conjecture,
( c_Message_OinvKey(v_K) = c_Message_OinvKey(v_K_H)
| v_K = v_K_H ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f3,axiom,
! [X0] : c_Message_OinvKey(c_Message_OinvKey(X0)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_OinvKey_A_IinvKey_Ay_J_A_61_61_Ay_0) ).
fof(f5,definition,
( spl0_1
<=> v_K = v_K_H ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f6,plain,
( v_K != v_K_H
| spl0_1 ),
inference(avatar_component_clause,[],[f5]) ).
fof(f7,plain,
( v_K = v_K_H
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f5]) ).
fof(f9,definition,
( spl0_2
<=> c_Message_OinvKey(v_K) = c_Message_OinvKey(v_K_H) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f10,plain,
( c_Message_OinvKey(v_K) != c_Message_OinvKey(v_K_H)
| spl0_2 ),
inference(avatar_component_clause,[],[f9]) ).
fof(f11,plain,
( c_Message_OinvKey(v_K) = c_Message_OinvKey(v_K_H)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f9]) ).
fof(f12,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f2,f9,f5]) ).
fof(f13,plain,
( ~ spl0_2
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f1,f5,f9]) ).
fof(f14,plain,
( v_K_H = c_Message_OinvKey(c_Message_OinvKey(v_K))
| ~ spl0_2 ),
inference(superposition,[],[f3,f11]) ).
fof(f15,plain,
( v_K = v_K_H
| ~ spl0_2 ),
inference(forward_demodulation,[],[f14,f3]) ).
fof(f16,plain,
( $false
| spl0_1
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f15,f6]) ).
fof(f17,plain,
( spl0_1
| ~ spl0_2 ),
inference(avatar_contradiction_clause,[],[f16]) ).
fof(f18,plain,
( c_Message_OinvKey(v_K) != c_Message_OinvKey(v_K)
| ~ spl0_1
| spl0_2 ),
inference(forward_demodulation,[],[f10,f7]) ).
fof(f19,plain,
( $false
| ~ spl0_1
| spl0_2 ),
inference(trivial_inequality_removal,[],[f18]) ).
fof(f20,plain,
( ~ spl0_1
| spl0_2 ),
inference(avatar_contradiction_clause,[],[f19]) ).
cnf(s1,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f12]) ).
cnf(s2,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f13]) ).
cnf(s3,plain,
( spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f17]) ).
cnf(s4,plain,
( ~ spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f20]) ).
cnf(s5,plain,
spl0_1,
inference(rat,[],[s1,s3]) ).
cnf(s6,plain,
spl0_2,
inference(rat,[],[s4,s5]) ).
cnf(s7,plain,
$false,
inference(rat,[],[s2,s6,s5]) ).
fof(f21,plain,
$false,
inference(avatar_sat_refutation,[],[s7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV253-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.18 % Computer : n006.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 10:18:40 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.21 Running first-order model finding
% 0.09/0.21 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.25 % (3865288)Will run a generic schedule for satisfiability detection.
% 0.09/0.25 % (3865294)% WARNING: option uhcvi not known.
% 0.09/0.25 % (3865294)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3129260234:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.09/0.25 % (3865294) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3865288-3865294"...
% 0.09/0.25 % (3865294)...printing done.
% 0.09/0.25 % (3865294)Refutation found. Thanks to Tanya!
% 0.09/0.25 % SZS status Unsatisfiable for theBenchmark
% 0.09/0.25 % SZS output start Proof for theBenchmark
% See solution above
% 0.09/0.25 % (3865294)------------------------------
% 0.09/0.25 % (3865294)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.25 % (3865294)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.25 % (3865294)CaDiCaL version: 2.1.3
% 0.09/0.25 % (3865294)Termination reason: Refutation
% 0.09/0.25 % (3865294)Time elapsed: 0.001 s
% 0.09/0.25 % (3865294)Peak memory usage: 12 MB
% 0.09/0.25 % (3865294)Instructions burned: 1 (million)
% 0.09/0.25 % (3865288)Success in time 0.033 s
% 0.09/0.25 % Vampire exiting
%------------------------------------------------------------------------------