%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWV245-1 : 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 : n003.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 01:20:34 PM UTC 2026
% Result : Unsatisfiable 0.20s 0.32s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 10
% Syntax : Number of formulae : 32 ( 9 unt; 2 def)
% Number of atoms : 59 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 51 ( 24 ~; 25 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 3 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-3 aty)
% Number of variables : 20 ( 0 sgn 20 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1393,axiom,
! [X2,X3,X0,X1] :
( c_in(X0,c_union(X3,X1,X2),X2)
| ~ c_in(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_Set_OUnCI_0) ).
fof(f1394,axiom,
! [X2,X3,X0,X1] :
( c_in(X0,c_union(X1,X3,X2),X2)
| ~ c_in(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_Set_OUnCI_1) ).
fof(f1395,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/sandbox/benchmark/Axioms/MSC001-2.ax',cls_Set_OUnE_0) ).
fof(f1435,axiom,
! [X2,X0,X1] :
( ~ c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Oanalz(X2),tc_Message_Omsg)
| c_in(X0,c_Message_Oanalz(X2),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV004-0.ax',cls_Message_OMPair__analz_1) ).
fof(f1439,axiom,
! [X2,X0,X1] :
( ~ c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Osynth(X2),tc_Message_Omsg)
| c_in(X0,c_Message_Osynth(X2),tc_Message_Omsg)
| c_in(c_Message_Omsg_OMPair(X0,X1),X2,tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV004-0.ax',cls_Message_OMPair__synth_1) ).
fof(f1452,axiom,
! [X0,X1] :
( c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg)
| ~ c_in(X0,X1,tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV004-0.ax',cls_Message_Oanalz_OInj_0) ).
fof(f1477,negated_conjecture,
c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_union(c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),c_Message_Osynth(v_G),tc_Message_Omsg),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f1478,negated_conjecture,
~ c_in(v_X,c_union(c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),c_Message_Osynth(v_G),tc_Message_Omsg),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f1894,plain,
~ c_in(v_X,c_Message_Osynth(v_G),tc_Message_Omsg),
inference(resolution,[],[f1393,f1478]) ).
fof(f1897,plain,
~ c_in(v_X,c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg),
inference(resolution,[],[f1394,f1478]) ).
fof(f2383,plain,
( c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_Message_Osynth(v_G),tc_Message_Omsg)
| c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg) ),
inference(resolution,[],[f1395,f1477]) ).
fof(f2387,definition,
( spl0_6
<=> c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f2388,plain,
( ~ c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg)
| spl0_6 ),
inference(avatar_component_clause,[],[f2387]) ).
fof(f2389,plain,
( c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f2387]) ).
fof(f2391,definition,
( spl0_7
<=> c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_Message_Osynth(v_G),tc_Message_Omsg) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f2393,plain,
( c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_Message_Osynth(v_G),tc_Message_Omsg)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f2391]) ).
fof(f2394,plain,
( spl0_6
| spl0_7 ),
inference(avatar_split_clause,[],[f2383,f2391,f2387]) ).
fof(f2395,plain,
( c_in(v_X,c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg)
| ~ spl0_6 ),
inference(resolution,[],[f2389,f1435]) ).
fof(f2399,plain,
( $false
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[],[f2395,f1897]) ).
fof(f2400,plain,
~ spl0_6,
inference(avatar_contradiction_clause,[],[f2399]) ).
fof(f2449,plain,
( ~ c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_union(v_G,v_H,tc_Message_Omsg),tc_Message_Omsg)
| spl0_6 ),
inference(resolution,[],[f2388,f1452]) ).
fof(f2451,plain,
( ~ c_in(c_Message_Omsg_OMPair(v_X,v_Y),v_G,tc_Message_Omsg)
| spl0_6 ),
inference(resolution,[],[f2449,f1394]) ).
fof(f2691,plain,
( c_in(v_X,c_Message_Osynth(v_G),tc_Message_Omsg)
| c_in(c_Message_Omsg_OMPair(v_X,v_Y),v_G,tc_Message_Omsg)
| ~ spl0_7 ),
inference(resolution,[],[f1439,f2393]) ).
fof(f2694,plain,
( c_in(c_Message_Omsg_OMPair(v_X,v_Y),v_G,tc_Message_Omsg)
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[],[f2691,f1894]) ).
fof(f2695,plain,
( $false
| spl0_6
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[],[f2694,f2451]) ).
fof(f2696,plain,
( spl0_6
| ~ spl0_7 ),
inference(avatar_contradiction_clause,[],[f2695]) ).
cnf(s5,plain,
( spl0_6
| spl0_7 ),
inference(sat_conversion,[],[f2394]) ).
cnf(s6,plain,
~ spl0_6,
inference(sat_conversion,[],[f2400]) ).
cnf(s7,plain,
( spl0_6
| ~ spl0_7 ),
inference(sat_conversion,[],[f2696]) ).
cnf(s8,plain,
~ spl0_7,
inference(rat,[],[s7,s6]) ).
cnf(s9,plain,
$false,
inference(rat,[],[s5,s8,s6]) ).
fof(f2697,plain,
$false,
inference(avatar_sat_refutation,[],[s9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV245-1 : 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 : n003.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 10:19:21 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
% 0.20/0.32 % (1490127)Will run a generic schedule for satisfiability detection.
% 0.20/0.32 % (1490138)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1675844084:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.20/0.32 % (1490133)% WARNING: option uhcvi not known.
% 0.20/0.32 % (1490132)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1705804178_2999 on theBenchmark for (2999ds/0Mi)
% 0.20/0.32 % (1490133)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2300485410:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.20/0.32 % (1490134)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2794866859:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.20/0.32 % (1490135)dis+10_1_sil=32000:sp=arity:random_seed=2967550206:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.20/0.32 % (1490136)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3392655640:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.20/0.32 % (1490137)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=370427755:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.20/0.32 % (1490138)Instruction limit reached!
% 0.20/0.32 % (1490138)------------------------------
% 0.20/0.32 % (1490138)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.32 % (1490138)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.32 % (1490138)CaDiCaL version: 2.1.3
% 0.20/0.32 % (1490138)Termination reason: Instruction limit
% 0.20/0.32 % (1490138)Termination phase: Saturation
% 0.20/0.32 % (1490138)Time elapsed: 0.039 s
% 0.20/0.32 % (1490138)Peak memory usage: 14 MB
% 0.20/0.32 % (1490138)Instructions burned: 160 (million)
% 0.20/0.32 % (1490135) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1490127-1490135"...
% 0.20/0.32 % (1490135)...printing done.
% 0.20/0.32 % (1490146)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=4205909276:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.20/0.32 % (1490135)Refutation found. Thanks to Tanya!
% 0.20/0.32 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.32 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.33 % (1490135)------------------------------
% 0.20/0.33 % (1490135)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.33 % (1490135)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.33 % (1490135)CaDiCaL version: 2.1.3
% 0.20/0.33 % (1490135)Termination reason: Refutation
% 0.20/0.33 % (1490135)Time elapsed: 0.041 s
% 0.20/0.33 % (1490135)Peak memory usage: 14 MB
% 0.20/0.33 % (1490135)Instructions burned: 60 (million)
% 0.20/0.33 % (1490127)Success in time 0.09 s
% 0.20/0.33 % Vampire exiting
%------------------------------------------------------------------------------