%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWV272-1 : 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 : n011.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 1.96s 0.63s
% Output : Refutation 1.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 11
% Syntax : Number of formulae : 35 ( 11 unt; 2 def)
% Number of atoms : 63 ( 2 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 53 ( 25 ~; 26 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 3 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-3 aty)
% Number of variables : 25 ( 0 sgn 25 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3190,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/Axioms/MSC001-1.ax',cls_Set_OUn__iff_0) ).
fof(f3191,axiom,
! [X2,X3,X0,X1] :
( c_in(X0,c_union(X1,X3,X2),X2)
| ~ c_in(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-1.ax',cls_Set_OUn__iff_1) ).
fof(f3192,axiom,
! [X2,X3,X0,X1] :
( c_in(X0,c_union(X3,X1,X2),X2)
| ~ c_in(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-1.ax',cls_Set_OUn__iff_2) ).
fof(f3366,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/Axioms/SWV005-0.ax',cls_Message_Oparts_OInj_0) ).
fof(f3374,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/Axioms/SWV005-1.ax',cls_Message_OCrypt__synth_1) ).
fof(f3411,axiom,
! [X0] : c_Message_Oparts(c_Message_Oparts(X0)) = c_Message_Oparts(X0),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV005-1.ax',cls_Message_Oparts__idem_0) ).
fof(f3412,plain,
! [X0] : c_Message_Oparts(X0) = c_Message_Oparts(c_Message_Oparts(X0)),
inference(reorient_equations,[],[f3411]) ).
fof(f3430,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(f3434,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(f3435,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(f3680,plain,
~ c_in(v_X,c_Message_Oparts(v_H),tc_Message_Omsg),
inference(resolution,[],[f3191,f3435]) ).
fof(f3685,plain,
~ c_in(v_X,c_Message_Osynth(v_H),tc_Message_Omsg),
inference(resolution,[],[f3192,f3435]) ).
fof(f3731,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,[],[f3430,f3366]) ).
fof(f7219,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,[],[f3190,f3434]) ).
fof(f7231,definition,
( spl0_31
<=> c_in(c_Message_Omsg_OCrypt(v_K,v_X),c_Message_Oparts(v_H),tc_Message_Omsg) ),
introduced(definition,[new_symbols(definition,[spl0_31])],[avatar_definition]) ).
fof(f7232,plain,
( ~ c_in(c_Message_Omsg_OCrypt(v_K,v_X),c_Message_Oparts(v_H),tc_Message_Omsg)
| spl0_31 ),
inference(avatar_component_clause,[],[f7231]) ).
fof(f7233,plain,
( c_in(c_Message_Omsg_OCrypt(v_K,v_X),c_Message_Oparts(v_H),tc_Message_Omsg)
| ~ spl0_31 ),
inference(avatar_component_clause,[],[f7231]) ).
fof(f7235,definition,
( spl0_32
<=> c_in(c_Message_Omsg_OCrypt(v_K,v_X),c_Message_Osynth(v_H),tc_Message_Omsg) ),
introduced(definition,[new_symbols(definition,[spl0_32])],[avatar_definition]) ).
fof(f7237,plain,
( c_in(c_Message_Omsg_OCrypt(v_K,v_X),c_Message_Osynth(v_H),tc_Message_Omsg)
| ~ spl0_32 ),
inference(avatar_component_clause,[],[f7235]) ).
fof(f7238,plain,
( spl0_31
| spl0_32 ),
inference(avatar_split_clause,[],[f7219,f7235,f7231]) ).
fof(f7334,plain,
( c_in(v_X,c_Message_Oparts(c_Message_Oparts(v_H)),tc_Message_Omsg)
| ~ spl0_31 ),
inference(resolution,[],[f7233,f3731]) ).
fof(f7349,plain,
( c_in(v_X,c_Message_Oparts(v_H),tc_Message_Omsg)
| ~ spl0_31 ),
inference(forward_demodulation,[],[f7334,f3412]) ).
fof(f7352,plain,
( $false
| ~ spl0_31 ),
inference(forward_subsumption_resolution,[],[f7349,f3680]) ).
fof(f7353,plain,
~ spl0_31,
inference(avatar_contradiction_clause,[],[f7352]) ).
fof(f7354,plain,
( ~ c_in(c_Message_Omsg_OCrypt(v_K,v_X),v_H,tc_Message_Omsg)
| spl0_31 ),
inference(resolution,[],[f7232,f3366]) ).
fof(f9274,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_32 ),
inference(resolution,[],[f3374,f7237]) ).
fof(f9276,plain,
( c_in(c_Message_Omsg_OCrypt(v_K,v_X),v_H,tc_Message_Omsg)
| ~ spl0_32 ),
inference(forward_subsumption_resolution,[],[f9274,f3685]) ).
fof(f9277,plain,
( $false
| spl0_31
| ~ spl0_32 ),
inference(forward_subsumption_resolution,[],[f9276,f7354]) ).
fof(f9278,plain,
( spl0_31
| ~ spl0_32 ),
inference(avatar_contradiction_clause,[],[f9277]) ).
cnf(s28,plain,
( spl0_31
| spl0_32 ),
inference(sat_conversion,[],[f7238]) ).
cnf(s30,plain,
~ spl0_31,
inference(sat_conversion,[],[f7353]) ).
cnf(s34,plain,
( spl0_31
| ~ spl0_32 ),
inference(sat_conversion,[],[f9278]) ).
cnf(s35,plain,
~ spl0_32,
inference(rat,[],[s34,s30]) ).
cnf(s36,plain,
$false,
inference(rat,[],[s28,s35,s30]) ).
fof(f9279,plain,
$false,
inference(avatar_sat_refutation,[],[s36]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV272-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.07/0.20 % Computer : n011.cluster.edu
% 0.07/0.20 % Model : x86_64 x86_64
% 0.07/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.20 % Memory : 8046.5625MB
% 0.07/0.20 % OS : Linux 6.8.0-71-generic
% 0.07/0.20 % CPULimit : 300
% 0.07/0.20 % WCLimit : 300
% 0.07/0.20 % DateTime : Mon Sep 28 10:22:46 UTC 2026
% 0.07/0.20 % CPUTime :
% 0.07/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.07/0.23 Running first-order model finding
% 0.07/0.23 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
% 1.96/0.63 % (3304120)Will run a generic schedule for satisfiability detection.
% 1.96/0.63 % (3304129)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1694936032:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 1.96/0.63 % (3304126)% WARNING: option uhcvi not known.
% 1.96/0.63 % (3304125)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2417108540_2999 on theBenchmark for (2999ds/0Mi)
% 1.96/0.63 % (3304127)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1089793811:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 1.96/0.63 % (3304128)dis+10_1_sil=32000:sp=arity:random_seed=3930152588:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 1.96/0.63 % (3304131)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3345130056:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 1.96/0.63 % (3304130)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=872998288:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 1.96/0.63 % (3304126)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2635731253:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 1.96/0.63 % (3304129)Instruction limit reached!
% 1.96/0.63 % (3304129)------------------------------
% 1.96/0.63 % (3304129)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.96/0.63 % (3304129)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.96/0.63 % (3304129)CaDiCaL version: 2.1.3
% 1.96/0.63 % (3304129)Termination reason: Instruction limit
% 1.96/0.63 % (3304129)Termination phase: Saturation
% 1.96/0.63 % (3304129)Time elapsed: 0.036 s
% 1.96/0.63 % (3304129)Peak memory usage: 16 MB
% 1.96/0.63 % (3304129)Instructions burned: 117 (million)
% 1.96/0.63 % (3304139)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=95417391:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 1.96/0.63 % (3304128)Instruction limit reached!
% 1.96/0.63 % (3304128)------------------------------
% 1.96/0.63 % (3304128)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.96/0.63 % (3304128)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.96/0.63 % (3304128)CaDiCaL version: 2.1.3
% 1.96/0.63 % (3304128)Termination reason: Instruction limit
% 1.96/0.63 % (3304128)Termination phase: Saturation
% 1.96/0.63 % (3304128)Time elapsed: 0.062 s
% 1.96/0.63 % (3304128)Peak memory usage: 15 MB
% 1.96/0.63 % (3304128)Instructions burned: 103 (million)
% 1.96/0.63 % (3304130)Instruction limit reached!
% 1.96/0.63 % (3304130)------------------------------
% 1.96/0.63 % (3304130)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.96/0.63 % (3304130)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.96/0.63 % (3304130)CaDiCaL version: 2.1.3
% 1.96/0.63 % (3304130)Termination reason: Instruction limit
% 1.96/0.63 % (3304130)Termination phase: Saturation
% 1.96/0.63 % (3304130)Time elapsed: 0.076 s
% 1.96/0.63 % (3304130)Peak memory usage: 16 MB
% 1.96/0.63 % (3304130)Instructions burned: 131 (million)
% 1.96/0.63 % (3304141)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1113257656:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 1.96/0.63 % (3304142)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=3692384106:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 1.96/0.63 % (3304131)Instruction limit reached!
% 1.96/0.63 % (3304131)------------------------------
% 1.96/0.63 % (3304131)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.96/0.63 % (3304131)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.96/0.63 % (3304131)CaDiCaL version: 2.1.3
% 1.96/0.63 % (3304131)Termination reason: Instruction limit
% 1.96/0.63 % (3304131)Termination phase: Saturation
% 1.96/0.63 % (3304131)Time elapsed: 0.100 s
% 1.96/0.63 % (3304131)Peak memory usage: 16 MB
% 1.96/0.63 % (3304131)Instructions burned: 160 (million)
% 1.96/0.63 % (3304145)ott-21_1_sil=16000:fs=off:random_seed=1838844410:i=180:av=off:fsr=off_2997 on theBenchmark for (2997ds/180Mi)
% 1.96/0.63 % (3304141)Instruction limit reached!
% 1.96/0.63 % (3304141)------------------------------
% 1.96/0.63 % (3304141)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.96/0.63 % (3304141)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.96/0.63 % (3304141)CaDiCaL version: 2.1.3
% 1.96/0.63 % (3304141)Termination reason: Instruction limit
% 1.96/0.63 % (3304141)Termination phase: Saturation
% 1.96/0.63 % (3304141)Time elapsed: 0.077 s
% 1.96/0.63 % (3304141)Peak memory usage: 16 MB
% 1.96/0.63 % (3304141)Instructions burned: 132 (million)
% 1.96/0.63 % (3304147)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=49447354:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 1.96/0.63 % TRYING [1]
% 1.96/0.63 % TRYING [2]
% 1.96/0.63 % (3304145)Instruction limit reached!
% 1.96/0.63 % (3304145)------------------------------
% 1.96/0.63 % (3304145)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.96/0.63 % (3304145)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.96/0.63 % (3304145)CaDiCaL version: 2.1.3
% 1.96/0.63 % (3304145)Termination reason: Instruction limit
% 1.96/0.63 % (3304145)Termination phase: Saturation
% 1.96/0.63 % (3304145)Time elapsed: 0.096 s
% 1.96/0.63 % (3304145)Peak memory usage: 16 MB
% 1.96/0.63 % (3304145)Instructions burned: 181 (million)
% 1.96/0.63 % (3304139)Instruction limit reached!
% 1.96/0.63 % (3304139)------------------------------
% 1.96/0.63 % (3304139)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.96/0.63 % (3304139)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.96/0.63 % (3304139)CaDiCaL version: 2.1.3
% 1.96/0.63 % (3304139)Termination reason: Instruction limit
% 1.96/0.63 % (3304139)Termination phase: Finite model building constraint generation
% 1.96/0.63 % (3304139)Time elapsed: 0.181 s
% 1.96/0.63 % (3304139)Peak memory usage: 26 MB
% 1.96/0.63 % (3304139)Instructions burned: 715 (million)
% 1.96/0.63 % (3304150)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=1687701945:i=1179_2996 on theBenchmark for (2996ds/1179Mi)
% 1.96/0.63 % (3304149)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3626705415:fmbsr=1.3:i=865:ins=25_2996 on theBenchmark for (2996ds/865Mi)
% 1.96/0.63 % (3304142) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3304120-3304142"...
% 1.96/0.63 % (3304142)...printing done.
% 1.96/0.63 % (3304142)Refutation found. Thanks to Tanya!
% 1.96/0.63 % SZS status Unsatisfiable for theBenchmark
% 1.96/0.63 % SZS output start Proof for theBenchmark
% See solution above
% 1.96/0.63 % (3304142)------------------------------
% 1.96/0.63 % (3304142)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.96/0.63 % (3304142)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.96/0.63 % (3304142)CaDiCaL version: 2.1.3
% 1.96/0.63 % (3304142)Termination reason: Refutation
% 1.96/0.63 % (3304142)Time elapsed: 0.177 s
% 1.96/0.63 % (3304142)Peak memory usage: 18 MB
% 1.96/0.63 % (3304142)Instructions burned: 317 (million)
% 1.96/0.63 % (3304120)Success in time 0.383 s
% 1.96/0.63 % Vampire exiting
%------------------------------------------------------------------------------