%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWV734-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n026.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 01:19:22 PM UTC 2026
% Result : Unsatisfiable 3.97s 1.37s
% Output : Refutation 3.97s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 11
% Syntax : Number of formulae : 29 ( 13 unt; 1 def)
% Number of atoms : 48 ( 6 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 40 ( 21 ~; 18 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 2 prp; 0-3 aty)
% Number of functors : 16 ( 16 usr; 9 con; 0-3 aty)
% Number of variables : 25 ( 0 sgn 25 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f219,axiom,
! [X0,X1] : c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)),X1,tc_fun(X0,tc_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_empty__subsetI_0) ).
fof(f224,axiom,
! [X2,X3,X0,X1] :
( c_lessequals(c_Set_Oinsert(X0,X1,X2),c_Set_Oinsert(X0,X3,X2),tc_fun(X2,tc_bool))
| ~ c_lessequals(X1,X3,tc_fun(X2,tc_bool)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__mono_0) ).
fof(f232,axiom,
! [X0,X1] :
( c_lessequals(c_Message_Oparts(X0),c_Message_Oparts(X1),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(X0,X1,tc_fun(tc_Message_Omsg,tc_bool)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_parts__mono_0) ).
fof(f257,axiom,
! [X2,X3,X0,X1] :
( ~ c_lessequals(c_Set_Oinsert(X0,X3,X2),X1,tc_fun(X2,tc_bool))
| c_in(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__subset_0) ).
fof(f428,axiom,
! [X0,X1] : c_Message_Oparts(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X0),X1,tc_Message_Omsg)) = c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X0),c_Message_Oparts(X1),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_parts__insert__Key_0) ).
fof(f444,axiom,
! [X0,X1] :
( c_Message_Oparts(c_Set_Oinsert(X0,X1,tc_Message_Omsg)) = c_Message_Oparts(X1)
| ~ c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_parts__cut__eq_0) ).
fof(f445,plain,
! [X0,X1] :
( ~ c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg)
| c_Message_Oparts(X1) = c_Message_Oparts(c_Set_Oinsert(X0,X1,tc_Message_Omsg)) ),
inference(reorient_equations,[],[f444]) ).
fof(f461,axiom,
! [X2,X0,X1] :
( ~ c_in(c_Message_Omsg_OCrypt(X2,X0),c_Message_Oparts(X1),tc_Message_Omsg)
| c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_parts_OBody_0) ).
fof(f519,negated_conjecture,
c_in(c_Message_Omsg_OCrypt(v_KAB,v_X),c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f520,negated_conjecture,
c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oparts(c_Set_Oinsert(v_X,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4) ).
fof(f521,negated_conjecture,
~ c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_5) ).
fof(f557,definition,
( spl0_2
<=> c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oparts(c_Set_Oinsert(v_X,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),tc_Message_Omsg) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f558,plain,
( c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oparts(c_Set_Oinsert(v_X,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),tc_Message_Omsg)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f557]) ).
fof(f565,plain,
spl0_2,
inference(avatar_split_clause,[],[f520,f557]) ).
fof(f812,plain,
c_in(v_X,c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg),
inference(resolution,[],[f461,f519]) ).
fof(f900,plain,
( c_Message_Oparts(c_Set_Oinsert(v_X,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)) = c_Message_Oparts(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,v_K),c_Set_Oinsert(v_X,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg),tc_Message_Omsg))
| ~ spl0_2 ),
inference(resolution,[],[f445,f558]) ).
fof(f903,plain,
c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)) = c_Message_Oparts(c_Set_Oinsert(v_X,c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg),tc_Message_Omsg)),
inference(resolution,[],[f445,f812]) ).
fof(f1258,plain,
( c_Message_Oparts(c_Set_Oinsert(v_X,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)) = c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oparts(c_Set_Oinsert(v_X,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),tc_Message_Omsg)
| ~ spl0_2 ),
inference(superposition,[],[f428,f900]) ).
fof(f1295,plain,
( ! [X0] :
( ~ c_lessequals(c_Message_Oparts(c_Set_Oinsert(v_X,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),X0,tc_fun(tc_Message_Omsg,tc_bool))
| c_in(hAPP(c_Message_Omsg_OKey,v_K),X0,tc_Message_Omsg) )
| ~ spl0_2 ),
inference(superposition,[],[f257,f1258]) ).
fof(f1525,plain,
( ! [X0] :
( ~ c_lessequals(c_Set_Oinsert(v_X,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg),X0,tc_fun(tc_Message_Omsg,tc_bool))
| c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oparts(X0),tc_Message_Omsg) )
| ~ spl0_2 ),
inference(resolution,[],[f1295,f232]) ).
fof(f1738,plain,
( ! [X0] :
( ~ c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),X0,tc_fun(tc_Message_Omsg,tc_bool))
| c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oparts(c_Set_Oinsert(v_X,X0,tc_Message_Omsg)),tc_Message_Omsg) )
| ~ spl0_2 ),
inference(resolution,[],[f224,f1525]) ).
fof(f1751,plain,
( ! [X0] : c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oparts(c_Set_Oinsert(v_X,X0,tc_Message_Omsg)),tc_Message_Omsg)
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f1738,f219]) ).
fof(f1758,plain,
( c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg)
| ~ spl0_2 ),
inference(superposition,[],[f1751,f903]) ).
fof(f1759,plain,
( $false
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f1758,f521]) ).
fof(f1760,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f1759]) ).
cnf(s2,plain,
spl0_2,
inference(sat_conversion,[],[f565]) ).
cnf(s22,plain,
~ spl0_2,
inference(sat_conversion,[],[f1760]) ).
cnf(s23,plain,
$false,
inference(rat,[],[s2,s22]) ).
fof(f1762,plain,
$false,
inference(avatar_sat_refutation,[],[s23]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV734-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.20 % Computer : n026.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 12:25:57 UTC 2026
% 0.07/0.20 % CPUTime :
% 0.07/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.23 Running first-order theorem proving
% 0.07/0.23 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
% 3.97/1.37 % (3821846)Input is clausal, will run a generic CNF schedule.
% 3.97/1.37 % (3821855)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3398562358:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.97/1.37 % (3821852)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=904084821:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.97/1.37 % (3821854)lrs+10_1_sil=8000:sp=occurrence:random_seed=3797293006:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.97/1.37 % (3821853)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=506335086:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.97/1.37 % (3821851)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=2937736740:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.97/1.37 % (3821856)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1534569556:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.97/1.37 % (3821855)Instruction limit reached!
% 3.97/1.37 % (3821855)------------------------------
% 3.97/1.37 % (3821855)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.97/1.37 % (3821855)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.97/1.37 % (3821855)CaDiCaL version: 2.1.3
% 3.97/1.37 % (3821855)Termination reason: Instruction limit
% 3.97/1.37 % (3821855)Termination phase: Saturation
% 3.97/1.37 % (3821855)Time elapsed: 0.044 s
% 3.97/1.37 % (3821855)Peak memory usage: 89 MB
% 3.97/1.37 % (3821855)Instructions burned: 115 (million)
% 3.97/1.37 % (3821857)dis-21_1_sil=8000:lcm=predicate:random_seed=1503143559: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)
% 3.97/1.37 % (3821856)First to succeed.
% 3.97/1.37 % (3821856)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3821846"
% 3.97/1.37 % (3821854)Instruction limit reached!
% 3.97/1.37 % (3821854)------------------------------
% 3.97/1.37 % (3821854)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.97/1.37 % (3821854)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.97/1.37 % (3821854)CaDiCaL version: 2.1.3
% 3.97/1.37 % (3821854)Termination reason: Instruction limit
% 3.97/1.37 % (3821854)Termination phase: Saturation
% 3.97/1.37 % (3821854)Time elapsed: 0.075 s
% 3.97/1.37 % (3821854)Peak memory usage: 89 MB
% 3.97/1.37 % (3821854)Instructions burned: 108 (million)
% 3.97/1.37 % (3821857)Instruction limit reached!
% 3.97/1.37 % (3821857)------------------------------
% 3.97/1.37 % (3821857)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.97/1.37 % (3821857)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.97/1.37 % (3821857)CaDiCaL version: 2.1.3
% 3.97/1.37 % (3821857)Termination reason: Instruction limit
% 3.97/1.37 % (3821857)Termination phase: Saturation
% 3.97/1.37 % (3821857)Time elapsed: 0.067 s
% 3.97/1.37 % (3821857)Peak memory usage: 89 MB
% 3.97/1.37 % (3821857)Instructions burned: 119 (million)
% 3.97/1.37 % (3821864)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=381288547:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 3.97/1.37 % (3821864)Refutation not found, incomplete strategy
% 3.97/1.37 % (3821864)------------------------------
% 3.97/1.37 % (3821864)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.97/1.37 % (3821864)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.97/1.37 % (3821864)CaDiCaL version: 2.1.3
% 3.97/1.37 % (3821864)Termination reason: Refutation not found, incomplete strategy
% 3.97/1.37 % (3821864)Time elapsed: 0.008 s
% 3.97/1.37 % (3821864)Peak memory usage: 89 MB
% 3.97/1.37 % (3821864)Instructions burned: 22 (million)
% 3.97/1.37 % (3821866)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2406258195:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 3.97/1.37 % (3821867)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=4186486064:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 3.97/1.37 % (3821864)------------------------------
% 3.97/1.37 % (3821864)------------------------------
% 3.97/1.37 % (3821866)Instruction limit reached!
% 3.97/1.37 % (3821866)------------------------------
% 3.97/1.37 % (3821866)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.97/1.37 % (3821866)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.97/1.37 % (3821866)CaDiCaL version: 2.1.3
% 3.97/1.37 % (3821866)Termination reason: Instruction limit
% 3.97/1.37 % (3821866)Termination phase: Saturation
% 3.97/1.37 % (3821866)Time elapsed: 0.105 s
% 3.97/1.37 % (3821866)Peak memory usage: 91 MB
% 3.97/1.37 % (3821866)Instructions burned: 191 (million)
% 3.97/1.37 % (3821856)Refutation found. Thanks to Tanya!
% 3.97/1.37 % SZS status Unsatisfiable for theBenchmark
% 3.97/1.37 % SZS output start Proof for theBenchmark
% See solution above
% 3.97/1.37 % (3821856)------------------------------
% 3.97/1.37 % (3821856)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.97/1.37 % (3821856)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.97/1.37 % (3821856)CaDiCaL version: 2.1.3
% 3.97/1.37 % (3821856)Termination reason: Refutation
% 3.97/1.37 % (3821856)Time elapsed: 0.063 s
% 3.97/1.37 % (3821856)Peak memory usage: 90 MB
% 3.97/1.37 % (3821856)Instructions burned: 90 (million)
% 3.97/1.37 % (3821856)------------------------------
% 3.97/1.37 % (3821856)------------------------------
% 3.97/1.37 % (3821846)Success in time 0.496 s
% 3.97/1.37 % Vampire exiting
%------------------------------------------------------------------------------