%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SET822-1 : 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 : n010.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 12:44:42 PM UTC 2026
% Result : Unsatisfiable 0.17s 0.50s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of formulae : 10 ( 6 unt; 0 def)
% Number of atoms : 14 ( 3 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 11 ( 7 ~; 4 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-3 aty)
% Number of variables : 16 ( 16 !; 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_f(v_b)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f1435,negated_conjecture,
! [X0,X1] :
( c_in(v_x(X0,X1),X1,tc_IntDef_Oint)
| ~ c_in(v_f(X0),X1,tc_IntDef_Oint) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f1436,negated_conjecture,
! [X0,X1] :
( ~ c_in(v_f(X0),X1,tc_IntDef_Oint)
| ~ v_P(v_x(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f1762,plain,
! [X0,X1] : ~ v_P(v_x(X0,c_insert(v_f(X0),X1,tc_IntDef_Oint))),
inference(resolution,[],[f227,f1436]) ).
fof(f1849,plain,
! [X0,X1] :
( ~ c_in(v_f(X0),c_insert(X1,c_emptyset,tc_IntDef_Oint),tc_IntDef_Oint)
| v_x(X0,c_insert(X1,c_emptyset,tc_IntDef_Oint)) = X1 ),
inference(resolution,[],[f375,f1435]) ).
fof(f1852,plain,
! [X0] : v_f(X0) = v_x(X0,c_insert(v_f(X0),c_emptyset,tc_IntDef_Oint)),
inference(resolution,[],[f1849,f227]) ).
fof(f1854,plain,
! [X0] : ~ v_P(v_f(X0)),
inference(superposition,[],[f1762,f1852]) ).
fof(f1857,plain,
$false,
inference(resolution,[],[f1854,f1434]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET822-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.37 % Computer : n010.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 28 02:55:32 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.40 Running first-order model finding
% 0.10/0.41 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
% 0.17/0.50 % (1515075)Will run a generic schedule for satisfiability detection.
% 0.17/0.50 % (1515080)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1878089201_2999 on theBenchmark for (2999ds/0Mi)
% 0.17/0.50 % (1515081)% WARNING: option uhcvi not known.
% 0.17/0.50 % (1515083)dis+10_1_sil=32000:sp=arity:random_seed=1455034670:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.17/0.50 % (1515081)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2325685600:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.17/0.50 % (1515082)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1166618290:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.17/0.50 % (1515084)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=83053887:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.17/0.50 % (1515085)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2718416866:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.17/0.50 % (1515086)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3277833491:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.17/0.50 % (1515083) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1515075-1515083"...
% 0.17/0.50 % (1515083)...printing done.
% 0.17/0.50 % (1515081) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1515075-1515081"...
% 0.17/0.50 % (1515083)Refutation found. Thanks to Tanya!
% 0.17/0.50 % SZS status Unsatisfiable for theBenchmark
% 0.17/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.50 % (1515083)------------------------------
% 0.17/0.50 % (1515083)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/0.50 % (1515083)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/0.50 % (1515083)CaDiCaL version: 2.1.3
% 0.17/0.50 % (1515083)Termination reason: Refutation
% 0.17/0.50 % (1515083)Time elapsed: 0.015 s
% 0.17/0.50 % (1515083)Peak memory usage: 13 MB
% 0.17/0.50 % (1515083)Instructions burned: 22 (million)
% 0.17/0.50 % (1515075)Success in time 0.076 s
% 0.17/0.50 % Vampire exiting
%------------------------------------------------------------------------------