%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWV338-1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n002.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 01:08:54 PM UTC 2026
% Result : Unsatisfiable 5.32s 1.57s
% Output : Refutation 5.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 11
% Syntax : Number of formulae : 30 ( 12 unt; 2 def)
% Number of atoms : 54 ( 3 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 41 ( 17 ~; 22 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 3 prp; 0-3 aty)
% Number of functors : 17 ( 17 usr; 7 con; 0-3 aty)
% Number of variables : 11 ( 0 sgn 11 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3181,axiom,
! [X0,X1] : c_union(X0,X0,X1) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUn__absorb_0) ).
fof(f3375,axiom,
! [X0,X1] :
( ~ c_in(X0,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg)
| c_in(X0,c_Event_Oused(X1),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Event_Oc_A_58_Aparts_A_Iknows_ASpy_Aevs1_J_A_61_61_62_Ac_A_58_Aused_Aevs1_0) ).
fof(f3519,axiom,
! [X0] :
( ~ c_in(X0,c_Message_OsymKeys,tc_nat)
| c_Message_OinvKey(X0) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Public_OinvKey__K_0) ).
fof(f3566,axiom,
! [X2,X3,X0,X1] :
( ~ c_in(X0,c_Message_OkeysFor(c_Message_Oparts(c_insert(X1,X2,tc_Message_Omsg))),tc_nat)
| ~ c_in(X1,c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg)
| c_in(X0,c_Message_OkeysFor(c_Message_Oparts(c_union(X2,X3,tc_Message_Omsg))),tc_nat)
| c_in(c_Message_Omsg_OKey(c_Message_OinvKey(X0)),c_Message_Oparts(X3),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Event_OkeysFor__parts__insert__dest_0) ).
fof(f3567,negated_conjecture,
c_in(v_K,c_Message_OsymKeys,tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f3569,negated_conjecture,
c_in(v_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f3571,negated_conjecture,
~ c_in(c_Message_Omsg_OKey(v_K),c_Event_Oused(v_evsf),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).
fof(f3572,negated_conjecture,
c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg))),tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_5) ).
fof(f3573,negated_conjecture,
( ~ c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_nat)
| c_in(c_Message_Omsg_OKey(v_K),c_Event_Oused(v_evsf),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_6) ).
fof(f3575,definition,
( spl0_1
<=> c_in(c_Message_Omsg_OKey(v_K),c_Event_Oused(v_evsf),tc_Message_Omsg) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f3576,plain,
( c_in(c_Message_Omsg_OKey(v_K),c_Event_Oused(v_evsf),tc_Message_Omsg)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f3575]) ).
fof(f3578,definition,
( spl0_2
<=> c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_nat) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f3579,plain,
( ~ c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_nat)
| spl0_2 ),
inference(avatar_component_clause,[],[f3578]) ).
fof(f3580,plain,
( spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f3573,f3578,f3575]) ).
fof(f3581,plain,
v_K = c_Message_OinvKey(v_K),
inference(resolution,[],[f3567,f3519]) ).
fof(f3599,plain,
! [X0] :
( ~ c_in(v_X,c_Message_Osynth(c_Message_Oanalz(X0)),tc_Message_Omsg)
| c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_union(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),X0,tc_Message_Omsg))),tc_nat)
| c_in(c_Message_Omsg_OKey(c_Message_OinvKey(v_K)),c_Message_Oparts(X0),tc_Message_Omsg) ),
inference(resolution,[],[f3572,f3566]) ).
fof(f3612,plain,
! [X0] :
( c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_union(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),X0,tc_Message_Omsg))),tc_nat)
| ~ c_in(v_X,c_Message_Osynth(c_Message_Oanalz(X0)),tc_Message_Omsg)
| c_in(c_Message_Omsg_OKey(v_K),c_Message_Oparts(X0),tc_Message_Omsg) ),
inference(forward_demodulation,[],[f3599,f3581]) ).
fof(f3617,plain,
( c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_nat)
| ~ c_in(v_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg)
| c_in(c_Message_Omsg_OKey(v_K),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg) ),
inference(superposition,[],[f3612,f3181]) ).
fof(f3620,plain,
( ~ c_in(v_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg)
| c_in(c_Message_Omsg_OKey(v_K),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)
| spl0_2 ),
inference(forward_subsumption_resolution,[],[f3617,f3579]) ).
fof(f3622,plain,
( c_in(c_Message_Omsg_OKey(v_K),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)
| spl0_2 ),
inference(forward_subsumption_resolution,[],[f3620,f3569]) ).
fof(f3626,plain,
( c_in(c_Message_Omsg_OKey(v_K),c_Event_Oused(v_evsf),tc_Message_Omsg)
| spl0_2 ),
inference(resolution,[],[f3622,f3375]) ).
fof(f3627,plain,
( $false
| spl0_2 ),
inference(forward_subsumption_resolution,[],[f3626,f3571]) ).
fof(f3628,plain,
spl0_2,
inference(avatar_contradiction_clause,[],[f3627]) ).
fof(f3629,plain,
( $false
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f3576,f3571]) ).
fof(f3630,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f3629]) ).
cnf(s1,plain,
( spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f3580]) ).
cnf(s4,plain,
spl0_2,
inference(sat_conversion,[],[f3628]) ).
cnf(s5,plain,
~ spl0_1,
inference(sat_conversion,[],[f3630]) ).
cnf(s9,plain,
$false,
inference(rat,[],[s1,s4,s5]) ).
fof(f3647,plain,
$false,
inference(avatar_sat_refutation,[],[s9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV338-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.16 % Computer : n002.cluster.edu
% 0.09/0.16 % Model : x86_64 x86_64
% 0.09/0.16 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.16 % Memory : 8046.5625MB
% 0.09/0.16 % OS : Linux 6.8.0-71-generic
% 0.09/0.16 % CPULimit : 300
% 0.09/0.16 % WCLimit : 300
% 0.09/0.16 % DateTime : Mon Sep 28 10:41:37 UTC 2026
% 0.09/0.16 % CPUTime :
% 0.09/0.16 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 Running first-order theorem proving
% 0.09/0.19 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.32/1.57 % (270157)Input is clausal, will run a generic CNF schedule.
% 5.32/1.57 % (270163)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=4177796939:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 5.32/1.57 % (270165)lrs+10_1_sil=8000:sp=occurrence:random_seed=179175208:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 5.32/1.57 % (270162)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=2499276587:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 5.32/1.57 % (270164)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3869742175:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 5.32/1.57 % (270166)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3758459981:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 5.32/1.57 % (270168)dis-21_1_sil=8000:lcm=predicate:random_seed=1300420790: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)
% 5.32/1.57 % (270167)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3409760318:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 5.32/1.57 % (270168)Instruction limit reached!
% 5.32/1.57 % (270168)------------------------------
% 5.32/1.57 % (270168)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.32/1.57 % (270168)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.32/1.57 % (270168)CaDiCaL version: 2.1.3
% 5.32/1.57 % (270168)Termination reason: Instruction limit
% 5.32/1.57 % (270168)Termination phase: Saturation
% 5.32/1.57 % (270168)Time elapsed: 0.064 s
% 5.32/1.57 % (270168)Peak memory usage: 90 MB
% 5.32/1.57 % (270168)Instructions burned: 117 (million)
% 5.32/1.57 % (270166)Instruction limit reached!
% 5.32/1.57 % (270166)------------------------------
% 5.32/1.57 % (270166)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.32/1.57 % (270166)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.32/1.57 % (270166)CaDiCaL version: 2.1.3
% 5.32/1.57 % (270166)Termination reason: Instruction limit
% 5.32/1.57 % (270166)Termination phase: Saturation
% 5.32/1.57 % (270166)Time elapsed: 0.070 s
% 5.32/1.57 % (270166)Peak memory usage: 91 MB
% 5.32/1.57 % (270166)Instructions burned: 115 (million)
% 5.32/1.57 % (270165)Instruction limit reached!
% 5.32/1.57 % (270165)------------------------------
% 5.32/1.57 % (270165)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.32/1.57 % (270165)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.32/1.57 % (270165)CaDiCaL version: 2.1.3
% 5.32/1.57 % (270165)Termination reason: Instruction limit
% 5.32/1.57 % (270165)Termination phase: Saturation
% 5.32/1.57 % (270165)Time elapsed: 0.074 s
% 5.32/1.57 % (270165)Peak memory usage: 91 MB
% 5.32/1.57 % (270165)Instructions burned: 108 (million)
% 5.32/1.57 % (270167)Instruction limit reached!
% 5.32/1.57 % (270167)------------------------------
% 5.32/1.57 % (270167)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.32/1.57 % (270167)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.32/1.57 % (270167)CaDiCaL version: 2.1.3
% 5.32/1.57 % (270167)Termination reason: Instruction limit
% 5.32/1.57 % (270167)Termination phase: Saturation
% 5.32/1.57 % (270167)Time elapsed: 0.107 s
% 5.32/1.57 % (270167)Peak memory usage: 91 MB
% 5.32/1.57 % (270167)Instructions burned: 180 (million)
% 5.32/1.57 % (270177)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2753491180:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2996 on theBenchmark for (2996ds/189Mi)
% 5.32/1.57 % (270176)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=2874821000:i=143:sd=2:aac=none:ss=axioms:sgt=16_2996 on theBenchmark for (2996ds/143Mi)
% 5.32/1.57 % (270178)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=2971989272:st=4:i=219:sd=3:ss=axioms_2996 on theBenchmark for (2996ds/219Mi)
% 5.32/1.57 % (270176)First to succeed.
% 5.32/1.57 % (270176)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-270157"
% 5.32/1.57 % (270179)lrs+10_64_to=lpo:sil=8000:random_seed=704004498:i=126:bd=preordered_2996 on theBenchmark for (2996ds/126Mi)
% 5.32/1.57 % (270177)Instruction limit reached!
% 5.32/1.57 % (270177)------------------------------
% 5.32/1.57 % (270177)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.32/1.57 % (270177)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.32/1.57 % (270177)CaDiCaL version: 2.1.3
% 5.32/1.57 % (270177)Termination reason: Instruction limit
% 5.32/1.57 % (270177)Termination phase: Saturation
% 5.32/1.57 % (270177)Time elapsed: 0.111 s
% 5.32/1.57 % (270177)Peak memory usage: 92 MB
% 5.32/1.57 % (270177)Instructions burned: 189 (million)
% 5.32/1.57 % (270179)Instruction limit reached!
% 5.32/1.57 % (270179)------------------------------
% 5.32/1.57 % (270179)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.32/1.57 % (270179)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.32/1.57 % (270179)CaDiCaL version: 2.1.3
% 5.32/1.57 % (270179)Termination reason: Instruction limit
% 5.32/1.57 % (270179)Termination phase: Saturation
% 5.32/1.57 % (270179)Time elapsed: 0.072 s
% 5.32/1.57 % (270179)Peak memory usage: 92 MB
% 5.32/1.57 % (270179)Instructions burned: 127 (million)
% 5.32/1.57 % (270178)Instruction limit reached!
% 5.32/1.57 % (270178)------------------------------
% 5.32/1.57 % (270178)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.32/1.57 % (270178)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.32/1.57 % (270178)CaDiCaL version: 2.1.3
% 5.32/1.57 % (270178)Termination reason: Instruction limit
% 5.32/1.57 % (270178)Termination phase: Saturation
% 5.32/1.57 % (270178)Time elapsed: 0.130 s
% 5.32/1.57 % (270178)Peak memory usage: 93 MB
% 5.32/1.57 % (270178)Instructions burned: 219 (million)
% 5.32/1.57 % (270176)Refutation found. Thanks to Tanya!
% 5.32/1.57 % SZS status Unsatisfiable for theBenchmark
% 5.32/1.57 % SZS output start Proof for theBenchmark
% See solution above
% 5.32/1.57 % (270176)------------------------------
% 5.32/1.57 % (270176)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.32/1.57 % (270176)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.32/1.57 % (270176)CaDiCaL version: 2.1.3
% 5.32/1.57 % (270176)Termination reason: Refutation
% 5.32/1.57 % (270176)Time elapsed: 0.017 s
% 5.32/1.57 % (270176)Peak memory usage: 91 MB
% 5.32/1.57 % (270176)Instructions burned: 22 (million)
% 5.32/1.57 % (270176)------------------------------
% 5.32/1.57 % (270176)------------------------------
% 5.32/1.57 % (270157)Success in time 0.736 s
% 5.32/1.57 % Vampire exiting
%------------------------------------------------------------------------------