%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SET820-1 : 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 : n001.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 0.15s 5.50s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of formulae : 12 ( 6 unt; 0 def)
% Number of atoms : 18 ( 3 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 15 ( 9 ~; 6 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-3 aty)
% Number of variables : 18 ( 18 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
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(f1434,negated_conjecture,
v_P(v_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f1435,negated_conjecture,
! [X0,X1] :
( c_in(v_x(X1),X1,tc_IntDef_Oint)
| ~ c_in(X0,X1,tc_IntDef_Oint) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f1436,negated_conjecture,
! [X0,X1] :
( ~ c_in(X0,X1,tc_IntDef_Oint)
| ~ v_P(v_x(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f1685,plain,
~ v_P(v_a),
inference(consistent_polarity_flipping,[],[f1434]) ).
fof(f1686,plain,
! [X0,X1] :
( v_P(v_x(X1))
| ~ c_in(X0,X1,tc_IntDef_Oint) ),
inference(consistent_polarity_flipping,[],[f1436]) ).
fof(f2098,plain,
! [X0,X1] :
( ~ c_in(X1,c_insert(X0,c_emptyset,tc_IntDef_Oint),tc_IntDef_Oint)
| v_x(c_insert(X0,c_emptyset,tc_IntDef_Oint)) = X0 ),
inference(resolution,[],[f375,f1435]) ).
fof(f2099,plain,
! [X0] : v_x(c_insert(X0,c_emptyset,tc_IntDef_Oint)) = X0,
inference(resolution,[],[f2098,f227]) ).
fof(f2102,plain,
! [X0,X1] :
( v_P(X0)
| ~ c_in(X1,c_insert(X0,c_emptyset,tc_IntDef_Oint),tc_IntDef_Oint) ),
inference(superposition,[],[f1686,f2099]) ).
fof(f2103,plain,
! [X0] : ~ c_in(X0,c_insert(v_a,c_emptyset,tc_IntDef_Oint),tc_IntDef_Oint),
inference(resolution,[],[f2102,f1685]) ).
fof(f2104,plain,
$false,
inference(resolution,[],[f2103,f227]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET820-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/5.39 % Computer : n001.cluster.edu
% 0.10/5.39 % Model : x86_64 x86_64
% 0.10/5.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.39 % Memory : 8046.5625MB
% 0.10/5.39 % OS : Linux 6.8.0-71-generic
% 0.10/5.39 % CPULimit : 300
% 0.10/5.39 % WCLimit : 300
% 0.10/5.39 % DateTime : Mon Sep 28 03:00:09 UTC 2026
% 0.10/5.39 % CPUTime :
% 0.10/5.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.15/5.42 Running first-order model finding
% 0.15/5.42 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
% 0.15/5.50 % (4168106)Will run a generic schedule for satisfiability detection.
% 0.15/5.50 % (4168117)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1082115028:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.15/5.50 % (4168112)% WARNING: option uhcvi not known.
% 0.15/5.50 % (4168112)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2759616447:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.15/5.50 % (4168111)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1547250239_2999 on theBenchmark for (2999ds/0Mi)
% 0.15/5.50 % (4168113)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=4006150504:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.15/5.50 % (4168116)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3024661776:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.15/5.50 % (4168114)dis+10_1_sil=32000:sp=arity:random_seed=3030547613:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.15/5.50 % (4168115)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1096616890:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.15/5.50 % (4168117) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-4168106-4168117"...
% 0.15/5.50 % (4168117)...printing done.
% 0.15/5.50 % (4168117)Refutation found. Thanks to Tanya!
% 0.15/5.50 % SZS status Unsatisfiable for theBenchmark
% 0.15/5.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/5.50 % (4168117)------------------------------
% 0.15/5.50 % (4168117)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.15/5.50 % (4168117)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.15/5.50 % (4168117)CaDiCaL version: 2.1.3
% 0.15/5.50 % (4168117)Termination reason: Refutation
% 0.15/5.50 % (4168117)Time elapsed: 0.010 s
% 0.15/5.50 % (4168117)Peak memory usage: 13 MB
% 0.15/5.50 % (4168117)Instructions burned: 26 (million)
% 0.15/5.50 % (4168106)Success in time 0.064 s
% 0.15/5.50 % Vampire exiting
%------------------------------------------------------------------------------