%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWV279-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 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 01:20:43 PM UTC 2026
% Result : Unsatisfiable 0.08s 0.27s
% Output : Refutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 10
% Syntax : Number of formulae : 33 ( 8 unt; 2 def)
% Number of atoms : 63 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 59 ( 29 ~; 28 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 3 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-3 aty)
% Number of variables : 36 ( 0 sgn 36 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_Event_Oused(v_H),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f2,negated_conjecture,
( ~ c_in(v_Y,c_Event_Oused(v_H),tc_Message_Omsg)
| ~ c_in(v_X,c_Event_Oused(v_H),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f3,axiom,
! [X2,X0,X1] :
( ~ c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Oparts(X2),tc_Message_Omsg)
| c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_OMPair__parts_0) ).
fof(f4,axiom,
! [X2,X0,X1] :
( ~ c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Oparts(X2),tc_Message_Omsg)
| c_in(X0,c_Message_Oparts(X2),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_OMPair__parts_1) ).
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/sandbox/benchmark/theBenchmark.p',cls_Message_Oparts_OInj_0) ).
fof(f6,axiom,
! [X0,X1] :
( ~ c_in(X0,c_Event_Oused(X1),tc_Message_Omsg)
| c_lessequals(c_Message_Oparts(c_insert(X0,c_emptyset,tc_Message_Omsg)),c_Event_Oused(X1),tc_set(tc_Message_Omsg)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Public_Oused__parts__subset__parts_0) ).
fof(f7,axiom,
! [X2,X0,X1] : c_in(X0,c_insert(X0,X1,X2),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_Oinsert__iff_1) ).
fof(f8,axiom,
! [X2,X3,X0,X1] :
( ~ c_in(X0,X1,X2)
| ~ c_lessequals(X1,X3,tc_set(X2))
| c_in(X0,X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OsubsetD_0) ).
fof(f9,plain,
! [X0,X1] :
( ~ c_lessequals(c_Message_Oparts(c_insert(X0,c_emptyset,tc_Message_Omsg)),c_Event_Oused(X1),tc_set(tc_Message_Omsg))
| ~ c_in(X0,c_Event_Oused(X1),tc_Message_Omsg) ),
inference(consistent_polarity_flipping,[],[f6]) ).
fof(f10,plain,
! [X2,X3,X0,X1] :
( c_lessequals(X1,X3,tc_set(X2))
| ~ c_in(X0,X1,X2)
| c_in(X0,X3,X2) ),
inference(consistent_polarity_flipping,[],[f8]) ).
fof(f12,definition,
( spl0_1
<=> c_in(v_X,c_Event_Oused(v_H),tc_Message_Omsg) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f14,plain,
( ~ c_in(v_X,c_Event_Oused(v_H),tc_Message_Omsg)
| spl0_1 ),
inference(avatar_component_clause,[],[f12]) ).
fof(f16,definition,
( spl0_2
<=> c_in(v_Y,c_Event_Oused(v_H),tc_Message_Omsg) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f18,plain,
( ~ c_in(v_Y,c_Event_Oused(v_H),tc_Message_Omsg)
| spl0_2 ),
inference(avatar_component_clause,[],[f16]) ).
fof(f19,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f2,f16,f12]) ).
fof(f20,plain,
! [X2,X0,X1] :
( c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X2,X0),X1,tc_Message_Omsg) ),
inference(resolution,[],[f3,f5]) ).
fof(f23,plain,
! [X2,X0,X1] :
( c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X0,X2),X1,tc_Message_Omsg) ),
inference(resolution,[],[f4,f5]) ).
fof(f34,plain,
! [X2,X0,X1] :
( c_in(X2,c_Event_Oused(X1),tc_Message_Omsg)
| ~ c_in(X2,c_Message_Oparts(c_insert(X0,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(X0,c_Event_Oused(X1),tc_Message_Omsg) ),
inference(resolution,[],[f9,f10]) ).
fof(f41,plain,
( ! [X0] :
( ~ c_in(v_X,c_Message_Oparts(c_insert(X0,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(X0,c_Event_Oused(v_H),tc_Message_Omsg) )
| spl0_1 ),
inference(resolution,[],[f34,f14]) ).
fof(f42,plain,
( ! [X0] :
( ~ c_in(v_Y,c_Message_Oparts(c_insert(X0,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(X0,c_Event_Oused(v_H),tc_Message_Omsg) )
| spl0_2 ),
inference(resolution,[],[f34,f18]) ).
fof(f53,plain,
( ~ c_in(v_X,c_Message_Oparts(c_insert(c_Message_Omsg_OMPair(v_X,v_Y),c_emptyset,tc_Message_Omsg)),tc_Message_Omsg)
| spl0_1 ),
inference(resolution,[],[f41,f1]) ).
fof(f59,plain,
( ! [X0] : ~ c_in(c_Message_Omsg_OMPair(v_X,X0),c_insert(c_Message_Omsg_OMPair(v_X,v_Y),c_emptyset,tc_Message_Omsg),tc_Message_Omsg)
| spl0_1 ),
inference(resolution,[],[f53,f23]) ).
fof(f65,plain,
( $false
| spl0_1 ),
inference(resolution,[],[f59,f7]) ).
fof(f66,plain,
spl0_1,
inference(avatar_contradiction_clause,[],[f65]) ).
fof(f77,plain,
( ~ c_in(v_Y,c_Message_Oparts(c_insert(c_Message_Omsg_OMPair(v_X,v_Y),c_emptyset,tc_Message_Omsg)),tc_Message_Omsg)
| spl0_2 ),
inference(resolution,[],[f42,f1]) ).
fof(f80,plain,
( ! [X0] : ~ c_in(c_Message_Omsg_OMPair(X0,v_Y),c_insert(c_Message_Omsg_OMPair(v_X,v_Y),c_emptyset,tc_Message_Omsg),tc_Message_Omsg)
| spl0_2 ),
inference(resolution,[],[f77,f20]) ).
fof(f89,plain,
( $false
| spl0_2 ),
inference(resolution,[],[f80,f7]) ).
fof(f90,plain,
spl0_2,
inference(avatar_contradiction_clause,[],[f89]) ).
cnf(s1,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f19]) ).
cnf(s2,plain,
spl0_1,
inference(sat_conversion,[],[f66]) ).
cnf(s3,plain,
spl0_2,
inference(sat_conversion,[],[f90]) ).
cnf(s4,plain,
$false,
inference(rat,[],[s1,s3,s2]) ).
fof(f91,plain,
$false,
inference(avatar_sat_refutation,[],[s4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV279-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.19 % Computer : n002.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Mon Sep 28 10:26:52 UTC 2026
% 0.08/0.20 % CPUTime :
% 0.08/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.22 Running first-order model finding
% 0.08/0.22 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.27 % (258567)Will run a generic schedule for satisfiability detection.
% 0.08/0.27 % (258583)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1609698892:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.08/0.27 % (258576)% WARNING: option uhcvi not known.
% 0.08/0.27 % (258583) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-258567-258583"...
% 0.08/0.27 % (258583)...printing done.
% 0.08/0.27 % (258583)Refutation found. Thanks to Tanya!
% 0.08/0.27 % SZS status Unsatisfiable for theBenchmark
% 0.08/0.27 % SZS output start Proof for theBenchmark
% See solution above
% 0.08/0.27 % (258583)------------------------------
% 0.08/0.27 % (258583)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.27 % (258583)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.27 % (258583)CaDiCaL version: 2.1.3
% 0.08/0.27 % (258583)Termination reason: Refutation
% 0.08/0.27 % (258583)Time elapsed: 0.003 s
% 0.08/0.27 % (258583)Peak memory usage: 12 MB
% 0.08/0.27 % (258583)Instructions burned: 4 (million)
% 0.08/0.27 % (258567)Success in time 0.04 s
% 0.08/0.27 % Vampire exiting
%------------------------------------------------------------------------------