%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SET822-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n012.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 0.06s 0.36s
% Output : Refutation 0.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 6
% Syntax : Number of formulae : 12 ( 7 unt; 0 def)
% Number of atoms : 18 ( 3 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 14 ( 8 ~; 6 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 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 : 20 ( 20 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : ~ c_in(X0,c_emptyset,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OemptyE_0) ).
fof(f2,axiom,
! [X2,X0,X1] : c_in(X0,c_insert(X0,X1,X2),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OinsertCI_1) ).
fof(f3,axiom,
! [X2,X3,X0,X1] :
( ~ c_in(X0,c_insert(X1,X2,X3),X3)
| c_in(X0,X2,X3)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OinsertE_0) ).
fof(f4,negated_conjecture,
v_P(v_f(v_b)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f5,negated_conjecture,
! [X0,X1] :
( ~ c_in(v_f(X0),X1,tc_IntDef_Oint)
| c_in(v_x(X0,X1),X1,tc_IntDef_Oint) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f6,negated_conjecture,
! [X0,X1] :
( ~ v_P(v_x(X0,X1))
| ~ c_in(v_f(X0),X1,tc_IntDef_Oint) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f7,plain,
! [X0,X1] : c_in(v_x(X0,c_insert(v_f(X0),X1,tc_IntDef_Oint)),c_insert(v_f(X0),X1,tc_IntDef_Oint),tc_IntDef_Oint),
inference(resolution,[],[f2,f5]) ).
fof(f9,plain,
! [X0,X1] :
( c_in(v_x(X0,c_insert(v_f(X0),X1,tc_IntDef_Oint)),X1,tc_IntDef_Oint)
| v_f(X0) = v_x(X0,c_insert(v_f(X0),X1,tc_IntDef_Oint)) ),
inference(resolution,[],[f7,f3]) ).
fof(f10,plain,
! [X0] : v_f(X0) = v_x(X0,c_insert(v_f(X0),c_emptyset,tc_IntDef_Oint)),
inference(resolution,[],[f9,f1]) ).
fof(f13,plain,
! [X0] :
( ~ v_P(v_f(X0))
| ~ c_in(v_f(X0),c_insert(v_f(X0),c_emptyset,tc_IntDef_Oint),tc_IntDef_Oint) ),
inference(superposition,[],[f6,f10]) ).
fof(f14,plain,
! [X0] : ~ v_P(v_f(X0)),
inference(forward_subsumption_resolution,[],[f13,f2]) ).
fof(f17,plain,
$false,
inference(resolution,[],[f14,f4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SET822-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.05/0.31 % Computer : n012.cluster.edu
% 0.05/0.31 % Model : x86_64 x86_64
% 0.05/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.05/0.31 % Memory : 8046.5625MB
% 0.05/0.31 % OS : Linux 6.8.0-71-generic
% 0.05/0.31 % CPULimit : 300
% 0.05/0.31 % WCLimit : 300
% 0.05/0.31 % DateTime : Mon Sep 28 02:54:47 UTC 2026
% 0.05/0.31 % CPUTime :
% 0.05/0.31 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.06/0.33 Running first-order model finding
% 0.06/0.33 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.06/0.36 % (2966414)Will run a generic schedule for satisfiability detection.
% 0.06/0.36 % (2966420)% WARNING: option uhcvi not known.
% 0.06/0.36 % (2966420)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3592905192:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.06/0.36 % (2966421)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=9232489:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.06/0.36 % (2966423)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2771590856:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.06/0.36 % (2966419)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1117710937_2999 on theBenchmark for (2999ds/0Mi)
% 0.06/0.36 % (2966422)dis+10_1_sil=32000:sp=arity:random_seed=1873247762:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.06/0.36 % (2966424)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=4063838293:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.06/0.36 % (2966425)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1421520281:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.06/0.36 % TRYING [1]
% 0.06/0.36 % TRYING [2]
% 0.06/0.36 % (2966424) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2966414-2966424"...
% 0.06/0.36 % (2966423) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2966414-2966423"...
% 0.06/0.36 % (2966425) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2966414-2966425"...
% 0.06/0.36 % TRYING [3]
% 0.06/0.36 % (2966420) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2966414-2966420"...
% 0.06/0.36 % (2966422) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2966414-2966422"...
% 0.06/0.36 % TRYING [4]
% 0.06/0.36 % (2966421) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2966414-2966421"...
% 0.06/0.36 % TRYING [5]
% 0.06/0.36 % (2966424)...printing done.
% 0.06/0.36 % (2966425)...printing done.
% 0.06/0.36 % (2966423)...printing done.
% 0.06/0.36 % (2966420)...printing done.
% 0.06/0.36 % (2966422)...printing done.
% 0.06/0.36 % (2966421)...printing done.
% 0.06/0.36 % (2966424)Refutation found. Thanks to Tanya!
% 0.06/0.36 % SZS status Unsatisfiable for theBenchmark
% 0.06/0.36 % SZS output start Proof for theBenchmark
% See solution above
% 0.06/0.36 % (2966424)------------------------------
% 0.06/0.36 % (2966424)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.06/0.36 % (2966424)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.06/0.36 % (2966424)CaDiCaL version: 2.1.3
% 0.06/0.36 % (2966424)Termination reason: Refutation
% 0.06/0.36 % (2966424)Time elapsed: 0.001 s
% 0.06/0.36 % (2966424)Peak memory usage: 11 MB
% 0.06/0.36 % (2966424)Instructions burned: 1 (million)
% 0.06/0.36 % (2966414)Success in time 0.028 s
% 0.06/0.36 % Vampire exiting
%------------------------------------------------------------------------------