%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWV272-2 : 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 : n019.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 01:20:41 PM UTC 2026
% Result : Unsatisfiable 0.21s 0.29s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 10
% Syntax : Number of formulae : 30 ( 10 unt; 2 def)
% Number of atoms : 53 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 45 ( 22 ~; 21 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 3 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-3 aty)
% Number of variables : 23 ( 0 sgn 23 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
c_in(c_Message_Omsg_OCrypt(v_K,v_X),c_union(c_Message_Oparts(v_H),c_Message_Osynth(v_H),tc_Message_Omsg),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f2,negated_conjecture,
~ c_in(v_X,c_union(c_Message_Oparts(v_H),c_Message_Osynth(v_H),tc_Message_Omsg),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f3,axiom,
! [X2,X0,X1] :
( ~ c_in(c_Message_Omsg_OCrypt(X0,X1),c_Message_Osynth(X2),tc_Message_Omsg)
| c_in(X1,c_Message_Osynth(X2),tc_Message_Omsg)
| c_in(c_Message_Omsg_OCrypt(X0,X1),X2,tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_OCrypt__synth_1) ).
fof(f4,axiom,
! [X2,X0,X1] :
( ~ c_in(c_Message_Omsg_OCrypt(X0,X1),c_Message_Oparts(X2),tc_Message_Omsg)
| c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oparts_OBody_0) ).
fof(f5,axiom,
! [X0,X1] :
( c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg)
| ~ c_in(X0,X1,tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oparts_OInj_0) ).
fof(f6,axiom,
! [X2,X3,X0,X1] :
( ~ c_in(X0,c_union(X1,X2,X3),X3)
| c_in(X0,X2,X3)
| c_in(X0,X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUn__iff_0) ).
fof(f7,axiom,
! [X2,X3,X0,X1] :
( c_in(X0,c_union(X1,X3,X2),X2)
| ~ c_in(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUn__iff_1) ).
fof(f8,axiom,
! [X2,X3,X0,X1] :
( c_in(X0,c_union(X3,X1,X2),X2)
| ~ c_in(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUn__iff_2) ).
fof(f9,plain,
~ c_in(v_X,c_Message_Oparts(v_H),tc_Message_Omsg),
inference(resolution,[],[f7,f2]) ).
fof(f11,plain,
~ c_in(v_X,c_Message_Osynth(v_H),tc_Message_Omsg),
inference(resolution,[],[f8,f2]) ).
fof(f12,plain,
! [X2,X0,X1] :
( ~ c_in(c_Message_Omsg_OCrypt(X2,X0),X1,tc_Message_Omsg)
| c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg) ),
inference(resolution,[],[f4,f5]) ).
fof(f13,plain,
( c_in(c_Message_Omsg_OCrypt(v_K,v_X),c_Message_Osynth(v_H),tc_Message_Omsg)
| c_in(c_Message_Omsg_OCrypt(v_K,v_X),c_Message_Oparts(v_H),tc_Message_Omsg) ),
inference(resolution,[],[f6,f1]) ).
fof(f17,definition,
( spl0_1
<=> c_in(c_Message_Omsg_OCrypt(v_K,v_X),c_Message_Oparts(v_H),tc_Message_Omsg) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f19,plain,
( c_in(c_Message_Omsg_OCrypt(v_K,v_X),c_Message_Oparts(v_H),tc_Message_Omsg)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f17]) ).
fof(f21,definition,
( spl0_2
<=> c_in(c_Message_Omsg_OCrypt(v_K,v_X),c_Message_Osynth(v_H),tc_Message_Omsg) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f23,plain,
( c_in(c_Message_Omsg_OCrypt(v_K,v_X),c_Message_Osynth(v_H),tc_Message_Omsg)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f21]) ).
fof(f24,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f13,f21,f17]) ).
fof(f25,plain,
( c_in(v_X,c_Message_Osynth(v_H),tc_Message_Omsg)
| c_in(c_Message_Omsg_OCrypt(v_K,v_X),v_H,tc_Message_Omsg)
| ~ spl0_2 ),
inference(resolution,[],[f3,f23]) ).
fof(f26,plain,
( c_in(c_Message_Omsg_OCrypt(v_K,v_X),v_H,tc_Message_Omsg)
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f25,f11]) ).
fof(f29,plain,
( c_in(v_X,c_Message_Oparts(v_H),tc_Message_Omsg)
| ~ spl0_2 ),
inference(resolution,[],[f12,f26]) ).
fof(f33,plain,
( $false
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f29,f9]) ).
fof(f34,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f33]) ).
fof(f35,plain,
( c_in(v_X,c_Message_Oparts(v_H),tc_Message_Omsg)
| ~ spl0_1 ),
inference(resolution,[],[f19,f4]) ).
fof(f37,plain,
( $false
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f35,f9]) ).
fof(f38,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f37]) ).
cnf(s1,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f24]) ).
cnf(s2,plain,
~ spl0_2,
inference(sat_conversion,[],[f34]) ).
cnf(s3,plain,
~ spl0_1,
inference(sat_conversion,[],[f38]) ).
cnf(s4,plain,
$false,
inference(rat,[],[s1,s2,s3]) ).
fof(f39,plain,
$false,
inference(avatar_sat_refutation,[],[s4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV272-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.20 % Computer : n019.cluster.edu
% 0.10/0.20 % Model : x86_64 x86_64
% 0.10/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.20 % Memory : 8046.5625MB
% 0.10/0.20 % OS : Linux 6.8.0-71-generic
% 0.10/0.20 % CPULimit : 300
% 0.10/0.20 % WCLimit : 300
% 0.10/0.20 % DateTime : Mon Sep 28 10:22:33 UTC 2026
% 0.10/0.20 % CPUTime :
% 0.10/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.23 Running first-order model finding
% 0.10/0.23 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
% 0.21/0.29 % (3910189)Will run a generic schedule for satisfiability detection.
% 0.21/0.29 % (3910194)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=4073909150_2999 on theBenchmark for (2999ds/0Mi)
% 0.21/0.29 % TRYING [1]
% 0.21/0.29 % TRYING [2]
% 0.21/0.29 % TRYING [3]
% 0.21/0.29 % TRYING [4]
% 0.21/0.29 % TRYING [5]
% 0.21/0.29 % (3910195)% WARNING: option uhcvi not known.
% 0.21/0.29 % TRYING [6]
% 0.21/0.29 % (3910195)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3328270531:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.21/0.29 % (3910196)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=328641804:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.21/0.29 % (3910197)dis+10_1_sil=32000:sp=arity:random_seed=3134897757:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.21/0.29 % (3910198)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1884325500:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.21/0.29 % (3910199)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=513218420:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.21/0.29 % (3910200)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3028685989:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.21/0.29 % (3910197) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3910189-3910197"...
% 0.21/0.29 % (3910195) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3910189-3910195"...
% 0.21/0.29 % (3910198) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3910189-3910198"...
% 0.21/0.29 % (3910200) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3910189-3910200"...
% 0.21/0.29 % TRYING [7]
% 0.21/0.29 % (3910199) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3910189-3910199"...
% 0.21/0.29 % (3910197)...printing done.
% 0.21/0.29 % (3910195)...printing done.
% 0.21/0.29 % (3910196) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3910189-3910196"...
% 0.21/0.29 % (3910198)...printing done.
% 0.21/0.29 % (3910200)...printing done.
% 0.21/0.29 % (3910197)Refutation found. Thanks to Tanya!
% 0.21/0.29 % SZS status Unsatisfiable for theBenchmark
% 0.21/0.29 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.29 % (3910197)------------------------------
% 0.21/0.29 % (3910197)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.29 % (3910197)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.29 % (3910197)CaDiCaL version: 2.1.3
% 0.21/0.29 % (3910197)Termination reason: Refutation
% 0.21/0.29 % (3910197)Time elapsed: 0.002 s
% 0.21/0.29 % (3910197)Peak memory usage: 11 MB
% 0.21/0.29 % (3910197)Instructions burned: 1 (million)
% 0.21/0.29 % (3910189)Success in time 0.051 s
% 0.21/0.29 % Vampire exiting
%------------------------------------------------------------------------------