%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SET821-1 : 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 : n013.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 12:44:41 PM UTC 2026
% Result : Unsatisfiable 0.18s 5.76s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 9
% Syntax : Number of formulae : 31 ( 12 unt; 2 def)
% Number of atoms : 51 ( 5 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 44 ( 24 ~; 18 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 3 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-3 aty)
% Number of variables : 12 ( 0 sgn 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f170,axiom,
! [X0,X1] :
( ~ class_Orderings_Oorder(X0)
| ~ c_less(X1,X1,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_Orderings_Oorder__less__irrefl__iff1_0) ).
fof(f227,axiom,
! [X2,X0,X1] : c_in(X0,c_insert(X0,X1,X2),X2),
file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_Set_OinsertCI_1) ).
fof(f375,axiom,
! [X2,X0,X1] :
( ~ c_in(X0,c_insert(X1,c_emptyset,X2),X2)
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-0.ax',cls_Set_OsingletonD__dest_0) ).
fof(f428,axiom,
class_Orderings_Oorder(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-0.ax',clsarity_IntDef__Oint_31) ).
fof(f1434,negated_conjecture,
c_less(v_a,v_b,tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f1435,negated_conjecture,
c_less(v_b,v_c,tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f1436,negated_conjecture,
! [X0] :
( ~ c_in(v_b,X0,tc_IntDef_Oint)
| c_in(v_c,X0,tc_IntDef_Oint)
| c_in(v_a,X0,tc_IntDef_Oint) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f1464,plain,
! [X0,X1] :
( c_less(X1,X1,X0)
| ~ class_Orderings_Oorder(X0) ),
inference(consistent_polarity_flipping,[],[f170]) ).
fof(f1658,plain,
~ c_less(v_a,v_b,tc_IntDef_Oint),
inference(consistent_polarity_flipping,[],[f1434]) ).
fof(f1659,plain,
~ c_less(v_b,v_c,tc_IntDef_Oint),
inference(consistent_polarity_flipping,[],[f1435]) ).
fof(f2107,plain,
! [X0] :
( c_in(v_c,c_insert(v_b,X0,tc_IntDef_Oint),tc_IntDef_Oint)
| c_in(v_a,c_insert(v_b,X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
inference(resolution,[],[f227,f1436]) ).
fof(f2163,plain,
( v_b = v_c
| c_in(v_a,c_insert(v_b,c_emptyset,tc_IntDef_Oint),tc_IntDef_Oint) ),
inference(resolution,[],[f375,f2107]) ).
fof(f2165,definition,
( spl0_3
<=> c_in(v_a,c_insert(v_b,c_emptyset,tc_IntDef_Oint),tc_IntDef_Oint) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f2167,plain,
( c_in(v_a,c_insert(v_b,c_emptyset,tc_IntDef_Oint),tc_IntDef_Oint)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f2165]) ).
fof(f2169,definition,
( spl0_4
<=> v_b = v_c ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f2171,plain,
( v_b = v_c
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f2169]) ).
fof(f2172,plain,
( spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f2163,f2169,f2165]) ).
fof(f2176,plain,
( v_a = v_b
| ~ spl0_3 ),
inference(resolution,[],[f2167,f375]) ).
fof(f2178,plain,
( ~ c_less(v_b,v_b,tc_IntDef_Oint)
| ~ spl0_3 ),
inference(superposition,[],[f1658,f2176]) ).
fof(f2181,plain,
( ~ class_Orderings_Oorder(tc_IntDef_Oint)
| ~ spl0_3 ),
inference(resolution,[],[f2178,f1464]) ).
fof(f2182,plain,
( $false
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[],[f2181,f428]) ).
fof(f2183,plain,
~ spl0_3,
inference(avatar_contradiction_clause,[],[f2182]) ).
fof(f2188,plain,
( ~ c_less(v_b,v_b,tc_IntDef_Oint)
| ~ spl0_4 ),
inference(superposition,[],[f1659,f2171]) ).
fof(f2193,plain,
( ~ class_Orderings_Oorder(tc_IntDef_Oint)
| ~ spl0_4 ),
inference(resolution,[],[f2188,f1464]) ).
fof(f2194,plain,
( $false
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f2193,f428]) ).
fof(f2195,plain,
~ spl0_4,
inference(avatar_contradiction_clause,[],[f2194]) ).
cnf(s2,plain,
( spl0_3
| spl0_4 ),
inference(sat_conversion,[],[f2172]) ).
cnf(s3,plain,
~ spl0_3,
inference(sat_conversion,[],[f2183]) ).
cnf(s4,plain,
~ spl0_4,
inference(sat_conversion,[],[f2195]) ).
cnf(s5,plain,
$false,
inference(rat,[],[s2,s4,s3]) ).
fof(f2196,plain,
$false,
inference(avatar_sat_refutation,[],[s5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET821-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.15/5.64 % Computer : n013.cluster.edu
% 0.15/5.64 % Model : x86_64 x86_64
% 0.15/5.64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/5.64 % Memory : 8046.5625MB
% 0.15/5.64 % OS : Linux 6.8.0-71-generic
% 0.15/5.64 % CPULimit : 300
% 0.15/5.64 % WCLimit : 300
% 0.15/5.64 % DateTime : Mon Sep 28 02:54:30 UTC 2026
% 0.15/5.64 % CPUTime :
% 0.15/5.64 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.15/5.67 Running first-order model finding
% 0.15/5.67 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
% 0.18/5.76 % (761547)Will run a generic schedule for satisfiability detection.
% 0.18/5.76 % (761553)% WARNING: option uhcvi not known.
% 0.18/5.76 % (761553)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=231546523:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.18/5.76 % (761552)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=870630825_2999 on theBenchmark for (2999ds/0Mi)
% 0.18/5.76 % (761555)dis+10_1_sil=32000:sp=arity:random_seed=2527696466:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.18/5.76 % (761554)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=715548482:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.18/5.76 % (761556)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3436561409:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.18/5.76 % (761557)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2122742921:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.18/5.76 % (761558)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3882158122:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.18/5.76 % (761553) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-761547-761553"...
% 0.18/5.76 % (761553)...printing done.
% 0.18/5.76 % (761553)Refutation found. Thanks to Tanya!
% 0.18/5.76 % SZS status Unsatisfiable for theBenchmark
% 0.18/5.76 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/5.76 % (761553)------------------------------
% 0.18/5.76 % (761553)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/5.76 % (761553)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/5.76 % (761553)CaDiCaL version: 2.1.3
% 0.18/5.76 % (761553)Termination reason: Refutation
% 0.18/5.76 % (761553)Time elapsed: 0.017 s
% 0.18/5.76 % (761553)Peak memory usage: 14 MB
% 0.18/5.76 % (761553)Instructions burned: 26 (million)
% 0.18/5.76 % (761547)Success in time 0.07 s
% 0.18/5.76 % Vampire exiting
%------------------------------------------------------------------------------