%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWV898-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n017.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 01:26:37 PM UTC 2026
% Result : Unsatisfiable 0.32s 0.42s
% Output : Refutation 0.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 3
% Syntax : Number of formulae : 8 ( 6 unt; 0 def)
% Number of atoms : 10 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 6 ( 4 ~; 2 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 5 con; 0-5 aty)
% Number of variables : 8 ( 8 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f655,axiom,
c_Finite__Set_Ofinite(c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_finite__dom__body_0) ).
fof(f671,axiom,
! [X2,X3,X0,X1] :
( c_Finite__Set_Ofinite(c_Set_Oimage(X0,X1,X2,X3),X3)
| ~ c_Finite__Set_Ofinite(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_finite__imageI_0) ).
fof(f686,negated_conjecture,
~ c_Finite__Set_Ofinite(c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT,c_COMBB(c_Option_Othe(tc_Com_Ocom),c_Com_Obody,tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,tc_Com_Opname),tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f990,plain,
~ c_Finite__Set_Ofinite(c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname),
inference(consistent_polarity_flipping,[],[f655]) ).
fof(f1005,plain,
! [X2,X3,X0,X1] :
( ~ c_Finite__Set_Ofinite(c_Set_Oimage(X0,X1,X2,X3),X3)
| c_Finite__Set_Ofinite(X1,X2) ),
inference(consistent_polarity_flipping,[],[f671]) ).
fof(f1017,plain,
c_Finite__Set_Ofinite(c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT,c_COMBB(c_Option_Othe(tc_Com_Ocom),c_Com_Obody,tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,tc_Com_Opname),tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),
inference(consistent_polarity_flipping,[],[f686]) ).
fof(f1241,plain,
c_Finite__Set_Ofinite(c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname),
inference(resolution,[],[f1005,f1017]) ).
fof(f1244,plain,
$false,
inference(resolution,[],[f1241,f990]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SWV898-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.27 % Computer : n017.cluster.edu
% 0.11/0.27 % Model : x86_64 x86_64
% 0.11/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.27 % Memory : 8046.5625MB
% 0.11/0.27 % OS : Linux 6.8.0-71-generic
% 0.11/0.27 % CPULimit : 300
% 0.11/0.27 % WCLimit : 300
% 0.11/0.27 % DateTime : Mon Sep 28 12:47:36 UTC 2026
% 0.26/0.28 % CPUTime :
% 0.26/0.28 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.26/0.32 Running first-order model finding
% 0.26/0.32 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.32/0.42 % (3518294)Will run a generic schedule for satisfiability detection.
% 0.32/0.42 % (3518301)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3745107713:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.32/0.42 % (3518305)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3522791841:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.32/0.42 % (3518300)% WARNING: option uhcvi not known.
% 0.32/0.42 % (3518300)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=289052904:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.32/0.42 % (3518302)dis+10_1_sil=32000:sp=arity:random_seed=3130505415:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.32/0.42 % (3518299)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1473568847_2999 on theBenchmark for (2999ds/0Mi)
% 0.32/0.42 % (3518303)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3926518897:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.32/0.42 % (3518304)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=303459372:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.32/0.42 % (3518305) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3518294-3518305"...
% 0.32/0.42 % (3518300) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3518294-3518300"...
% 0.32/0.42 % (3518305)...printing done.
% 0.32/0.42 % (3518302) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3518294-3518302"...
% 0.32/0.42 % (3518305)Refutation found. Thanks to Tanya!
% 0.32/0.42 % SZS status Unsatisfiable for theBenchmark
% 0.32/0.42 % SZS output start Proof for theBenchmark
% See solution above
% 0.32/0.42 % (3518305)------------------------------
% 0.32/0.42 % (3518305)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.32/0.42 % (3518305)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.32/0.42 % (3518305)CaDiCaL version: 2.1.3
% 0.32/0.42 % (3518305)Termination reason: Refutation
% 0.32/0.42 % (3518305)Time elapsed: 0.034 s
% 0.32/0.42 % (3518305)Peak memory usage: 13 MB
% 0.32/0.42 % (3518305)Instructions burned: 40 (million)
% 0.32/0.42 % (3518294)Success in time 0.084 s
% 0.32/0.42 % Vampire exiting
%------------------------------------------------------------------------------