%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SET842-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n015.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 12:44:47 PM UTC 2026
% Result : Unsatisfiable 0.11s 0.46s
% Output : Refutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 7
% Syntax : Number of formulae : 15 ( 3 unt; 0 def)
% Number of atoms : 31 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 28 ( 12 ~; 16 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-3 aty)
% Number of variables : 24 ( 24 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
~ c_lessequals(c_Union(v_Y,tc_set(t_a)),v_m,tc_set(tc_set(t_a))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f2,negated_conjecture,
! [X0] :
( ~ c_in(X0,v_Y,tc_set(tc_set(t_a)))
| c_lessequals(X0,v_m,tc_set(tc_set(t_a))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4) ).
fof(f3,axiom,
! [X2,X0,X1] :
( c_in(c_Main_OUnionE__1(X0,X1,X2),X1,tc_set(X2))
| ~ c_in(X0,c_Union(X1,X2),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUnionE_0) ).
fof(f4,axiom,
! [X2,X0,X1] :
( c_in(X0,c_Main_OUnionE__1(X0,X1,X2),X2)
| ~ c_in(X0,c_Union(X1,X2),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUnionE_1) ).
fof(f5,axiom,
! [X2,X3,X0,X1] :
( ~ c_lessequals(X1,X3,tc_set(X2))
| ~ c_in(X0,X1,X2)
| c_in(X0,X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OsubsetD_0) ).
fof(f6,axiom,
! [X2,X0,X1] :
( c_in(c_Main_OsubsetI__1(X0,X1,X2),X0,X2)
| c_lessequals(X0,X1,tc_set(X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OsubsetI_0) ).
fof(f7,axiom,
! [X2,X0,X1] :
( ~ c_in(c_Main_OsubsetI__1(X0,X1,X2),X1,X2)
| c_lessequals(X0,X1,tc_set(X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OsubsetI_1) ).
fof(f12,plain,
! [X0] :
( c_lessequals(c_Main_OUnionE__1(X0,v_Y,tc_set(t_a)),v_m,tc_set(tc_set(t_a)))
| ~ c_in(X0,c_Union(v_Y,tc_set(t_a)),tc_set(t_a)) ),
inference(resolution,[],[f3,f2]) ).
fof(f13,plain,
! [X0,X1] :
( ~ c_in(X0,c_Union(v_Y,tc_set(t_a)),tc_set(t_a))
| ~ c_in(X1,c_Main_OUnionE__1(X0,v_Y,tc_set(t_a)),tc_set(t_a))
| c_in(X1,v_m,tc_set(t_a)) ),
inference(resolution,[],[f12,f5]) ).
fof(f18,plain,
! [X0,X1] :
( ~ c_in(X0,c_Main_OUnionE__1(c_Main_OsubsetI__1(c_Union(v_Y,tc_set(t_a)),X1,tc_set(t_a)),v_Y,tc_set(t_a)),tc_set(t_a))
| c_in(X0,v_m,tc_set(t_a))
| c_lessequals(c_Union(v_Y,tc_set(t_a)),X1,tc_set(tc_set(t_a))) ),
inference(resolution,[],[f13,f6]) ).
fof(f22,plain,
! [X0] :
( c_in(c_Main_OsubsetI__1(c_Union(v_Y,tc_set(t_a)),X0,tc_set(t_a)),v_m,tc_set(t_a))
| c_lessequals(c_Union(v_Y,tc_set(t_a)),X0,tc_set(tc_set(t_a)))
| ~ c_in(c_Main_OsubsetI__1(c_Union(v_Y,tc_set(t_a)),X0,tc_set(t_a)),c_Union(v_Y,tc_set(t_a)),tc_set(t_a)) ),
inference(resolution,[],[f18,f4]) ).
fof(f23,plain,
! [X0] :
( c_in(c_Main_OsubsetI__1(c_Union(v_Y,tc_set(t_a)),X0,tc_set(t_a)),v_m,tc_set(t_a))
| c_lessequals(c_Union(v_Y,tc_set(t_a)),X0,tc_set(tc_set(t_a))) ),
inference(forward_subsumption_resolution,[],[f22,f6]) ).
fof(f24,plain,
( c_lessequals(c_Union(v_Y,tc_set(t_a)),v_m,tc_set(tc_set(t_a)))
| c_lessequals(c_Union(v_Y,tc_set(t_a)),v_m,tc_set(tc_set(t_a))) ),
inference(resolution,[],[f23,f7]) ).
fof(f25,plain,
c_lessequals(c_Union(v_Y,tc_set(t_a)),v_m,tc_set(tc_set(t_a))),
inference(duplicate_literal_removal,[],[f24]) ).
fof(f26,plain,
$false,
inference(forward_subsumption_resolution,[],[f25,f1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET842-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.38 % Computer : n015.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Mon Sep 28 03:01:47 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.41 Running first-order model finding
% 0.11/0.41 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
% 0.11/0.46 % (2217271)Will run a generic schedule for satisfiability detection.
% 0.11/0.46 % (2217276)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3791493494_2999 on theBenchmark for (2999ds/0Mi)
% 0.11/0.46 % TRYING [1]
% 0.11/0.46 % TRYING [2]
% 0.11/0.46 % TRYING [3]
% 0.11/0.46 % (2217277)% WARNING: option uhcvi not known.
% 0.11/0.46 % TRYING [4]
% 0.11/0.46 % (2217277)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1873805077:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.11/0.46 % (2217278)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=106396952:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.11/0.46 % (2217279)dis+10_1_sil=32000:sp=arity:random_seed=1098662781:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.11/0.46 % (2217280)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2389030278:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.11/0.46 % TRYING [5]
% 0.11/0.46 % (2217282)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=283771939:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.11/0.46 % (2217281)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1535248779:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.11/0.46 % (2217277) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2217271-2217277"...
% 0.11/0.46 % (2217279) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2217271-2217279"...
% 0.11/0.46 % (2217277)...printing done.
% 0.11/0.46 % (2217281) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2217271-2217281"...
% 0.11/0.46 % (2217279)...printing done.
% 0.11/0.46 % (2217277)Refutation found. Thanks to Tanya!
% 0.11/0.46 % SZS status Unsatisfiable for theBenchmark
% 0.11/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.11/0.46 % (2217277)------------------------------
% 0.11/0.46 % (2217277)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.11/0.46 % (2217277)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.11/0.46 % (2217277)CaDiCaL version: 2.1.3
% 0.11/0.46 % (2217277)Termination reason: Refutation
% 0.11/0.46 % (2217277)Time elapsed: 0.002 s
% 0.11/0.46 % (2217277)Peak memory usage: 11 MB
% 0.11/0.46 % (2217277)Instructions burned: 2 (million)
% 0.11/0.46 % (2217271)Success in time 0.034 s
% 0.11/0.46 % Vampire exiting
%------------------------------------------------------------------------------