%------------------------------------------------------------------------------
% File : Vampire---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 THM
% 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 01:08:37 PM UTC 2026
% Result : Unsatisfiable 3.21s 1.29s
% Output : Refutation 3.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 10
% Syntax : Number of formulae : 31 ( 9 unt; 2 def)
% Number of atoms : 57 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 49 ( 23 ~; 24 |; 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 : 20 ( 0 sgn 20 !; 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/theBenchmark.p',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/theBenchmark.p',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/theBenchmark.p',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/theBenchmark.p',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/theBenchmark.p',cls_Message_OCrypt__synth_1) ).
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(f3476,plain,
~ c_in(v_X,c_Message_Oparts(v_H),tc_Message_Omsg),
inference(resolution,[],[f3191,f3435]) ).
fof(f3483,plain,
~ c_in(v_X,c_Message_Osynth(v_H),tc_Message_Omsg),
inference(resolution,[],[f3192,f3435]) ).
fof(f3894,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(f3911,definition,
( spl0_7
<=> c_in(c_Message_Omsg_OCrypt(v_K,v_X),c_Message_Oparts(v_H),tc_Message_Omsg) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f3912,plain,
( ~ c_in(c_Message_Omsg_OCrypt(v_K,v_X),c_Message_Oparts(v_H),tc_Message_Omsg)
| spl0_7 ),
inference(avatar_component_clause,[],[f3911]) ).
fof(f3913,plain,
( c_in(c_Message_Omsg_OCrypt(v_K,v_X),c_Message_Oparts(v_H),tc_Message_Omsg)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f3911]) ).
fof(f3915,definition,
( spl0_8
<=> c_in(c_Message_Omsg_OCrypt(v_K,v_X),c_Message_Osynth(v_H),tc_Message_Omsg) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f3917,plain,
( c_in(c_Message_Omsg_OCrypt(v_K,v_X),c_Message_Osynth(v_H),tc_Message_Omsg)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f3915]) ).
fof(f3918,plain,
( spl0_7
| spl0_8 ),
inference(avatar_split_clause,[],[f3894,f3915,f3911]) ).
fof(f3919,plain,
( c_in(v_X,c_Message_Oparts(v_H),tc_Message_Omsg)
| ~ spl0_7 ),
inference(resolution,[],[f3913,f3430]) ).
fof(f3921,plain,
( $false
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[],[f3919,f3476]) ).
fof(f3922,plain,
~ spl0_7,
inference(avatar_contradiction_clause,[],[f3921]) ).
fof(f3951,plain,
( ~ c_in(c_Message_Omsg_OCrypt(v_K,v_X),v_H,tc_Message_Omsg)
| spl0_7 ),
inference(resolution,[],[f3912,f3366]) ).
fof(f4118,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_8 ),
inference(resolution,[],[f3374,f3917]) ).
fof(f4122,plain,
( c_in(c_Message_Omsg_OCrypt(v_K,v_X),v_H,tc_Message_Omsg)
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[],[f4118,f3483]) ).
fof(f4123,plain,
( $false
| spl0_7
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[],[f4122,f3951]) ).
fof(f4124,plain,
( spl0_7
| ~ spl0_8 ),
inference(avatar_contradiction_clause,[],[f4123]) ).
cnf(s7,plain,
( spl0_7
| spl0_8 ),
inference(sat_conversion,[],[f3918]) ).
cnf(s8,plain,
~ spl0_7,
inference(sat_conversion,[],[f3922]) ).
cnf(s9,plain,
( spl0_7
| ~ spl0_8 ),
inference(sat_conversion,[],[f4124]) ).
cnf(s10,plain,
~ spl0_8,
inference(rat,[],[s9,s8]) ).
cnf(s11,plain,
$false,
inference(rat,[],[s7,s10,s8]) ).
fof(f4125,plain,
$false,
inference(avatar_sat_refutation,[],[s11]) ).
%------------------------------------------------------------------------------
%----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 THM
% 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 10:22:06 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.22 Running first-order theorem proving
% 0.09/0.22 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.21/1.29 % (1076040)Input is clausal, will run a generic CNF schedule.
% 3.21/1.29 % (1076049)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=666696100:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.21/1.29 % (1076049)Instruction limit reached!
% 3.21/1.29 % (1076049)------------------------------
% 3.21/1.29 % (1076049)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.21/1.29 % (1076049)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.21/1.29 % (1076049)CaDiCaL version: 2.1.3
% 3.21/1.29 % (1076049)Termination reason: Instruction limit
% 3.21/1.29 % (1076049)Termination phase: Saturation
% 3.21/1.29 % (1076049)Time elapsed: 0.041 s
% 3.21/1.29 % (1076049)Peak memory usage: 91 MB
% 3.21/1.29 % (1076049)Instructions burned: 116 (million)
% 3.21/1.29 % (1076050)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1270624433:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.21/1.29 % (1076045)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=3788107530:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.21/1.29 % (1076048)lrs+10_1_sil=8000:sp=occurrence:random_seed=1753265340:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.21/1.29 % (1076047)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2302577853:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.21/1.29 % (1076046)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1026582870:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.21/1.29 % (1076051)dis-21_1_sil=8000:lcm=predicate:random_seed=467274189:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 3.21/1.29 % (1076050)First to succeed.
% 3.21/1.29 % (1076050)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1076040"
% 3.21/1.29 % (1076048)Instruction limit reached!
% 3.21/1.29 % (1076048)------------------------------
% 3.21/1.29 % (1076048)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.21/1.29 % (1076048)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.21/1.29 % (1076048)CaDiCaL version: 2.1.3
% 3.21/1.29 % (1076048)Termination reason: Instruction limit
% 3.21/1.29 % (1076048)Termination phase: Saturation
% 3.21/1.29 % (1076048)Time elapsed: 0.076 s
% 3.21/1.29 % (1076048)Peak memory usage: 91 MB
% 3.21/1.29 % (1076048)Instructions burned: 107 (million)
% 3.21/1.29 % (1076051)Instruction limit reached!
% 3.21/1.29 % (1076051)------------------------------
% 3.21/1.29 % (1076051)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.21/1.29 % (1076051)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.21/1.29 % (1076051)CaDiCaL version: 2.1.3
% 3.21/1.29 % (1076051)Termination reason: Instruction limit
% 3.21/1.29 % (1076051)Termination phase: Saturation
% 3.21/1.29 % (1076051)Time elapsed: 0.065 s
% 3.21/1.29 % (1076051)Peak memory usage: 90 MB
% 3.21/1.29 % (1076051)Instructions burned: 118 (million)
% 3.21/1.29 % (1076058)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=805058547:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 3.21/1.29 % (1076058)Refutation not found, incomplete strategy
% 3.21/1.29 % (1076058)------------------------------
% 3.21/1.29 % (1076058)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.21/1.29 % (1076058)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.21/1.29 % (1076058)CaDiCaL version: 2.1.3
% 3.21/1.29 % (1076058)Termination reason: Refutation not found, incomplete strategy
% 3.21/1.29 % (1076058)Time elapsed: 0.014 s
% 3.21/1.29 % (1076058)Peak memory usage: 90 MB
% 3.21/1.29 % (1076058)Instructions burned: 18 (million)
% 3.21/1.29 % (1076050)Refutation found. Thanks to Tanya!
% 3.21/1.29 % SZS status Unsatisfiable for theBenchmark
% 3.21/1.29 % SZS output start Proof for theBenchmark
% See solution above
% 3.21/1.29 % (1076050)------------------------------
% 3.21/1.29 % (1076050)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.21/1.29 % (1076050)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.21/1.29 % (1076050)CaDiCaL version: 2.1.3
% 3.21/1.29 % (1076050)Termination reason: Refutation
% 3.21/1.29 % (1076050)Time elapsed: 0.033 s
% 3.21/1.29 % (1076050)Peak memory usage: 91 MB
% 3.21/1.29 % (1076050)Instructions burned: 103 (million)
% 3.21/1.29 % (1076050)------------------------------
% 3.21/1.29 % (1076050)------------------------------
% 3.21/1.29 % (1076040)Success in time 0.43 s
% 3.21/1.29 % Vampire exiting
%------------------------------------------------------------------------------