%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET061+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 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 12:39:51 PM UTC 2026
% Result : Theorem 3.54s 1.48s
% Output : Refutation 3.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 2
% Syntax : Number of formulae : 8 ( 8 unt; 0 def)
% Number of atoms : 8 ( 0 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 5 ( 5 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-1 aty)
% Number of variables : 10 ( 7 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f16,axiom,
! [X0] : ~ member(X0,null_class),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',null_class_defn) ).
fof(f44,conjecture,
? [X0] :
! [X1] : ~ member(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_of_null_class) ).
fof(f45,negated_conjecture,
~ ? [X0] :
! [X1] : ~ member(X1,X0),
inference(negated_conjecture,[status(cth)],[f44]) ).
fof(f60,plain,
! [X0] :
? [X1] : member(X1,X0),
inference(ennf_transformation,[],[f45]) ).
fof(f103,plain,
! [X0] : member(sK6(X0),X0),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6]),skolemize(X1,sK6(X0))],[f60]) ).
fof(f135,plain,
! [X0] : ~ member(X0,null_class),
inference(cnf_transformation,[],[f16]) ).
fof(f191,plain,
! [X0] : member(sK6(X0),X0),
inference(cnf_transformation,[],[f103]) ).
fof(f198,plain,
$false,
inference(resolution,[],[f135,f191]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET061+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.39 % Computer : n015.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Mon Sep 28 00:28:16 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.43 Running first-order theorem proving
% 0.12/0.43 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.54/1.48 % (2157987)Detected formulas, will run a generic FOF schedule.
% 3.54/1.48 % (2157992)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=2814414165:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.54/1.48 % (2157994)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=1597768935:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.54/1.48 % (2157995)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=243686933:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.54/1.48 % (2157993)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=4210358596:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.54/1.48 % (2157996)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1499312828:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.54/1.48 % (2157996)Refutation not found, incomplete strategy
% 3.54/1.48 % (2157996)------------------------------
% 3.54/1.48 % (2157996)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.54/1.48 % (2157996)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.54/1.48 % (2157996)CaDiCaL version: 2.1.3
% 3.54/1.48 % (2157996)Termination reason: Refutation not found, incomplete strategy
% 3.54/1.48 % (2157996)Time elapsed: 0.001 s
% 3.54/1.48 % (2157996)Peak memory usage: 86 MB
% 3.54/1.48 % (2157995)Refutation not found, incomplete strategy
% 3.54/1.48 % (2157995)------------------------------
% 3.54/1.48 % (2157995)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.54/1.48 % (2157995)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.54/1.48 % (2157995)CaDiCaL version: 2.1.3
% 3.54/1.48 % (2157995)Termination reason: Refutation not found, incomplete strategy
% 3.54/1.48 % (2157995)Time elapsed: 0.001 s
% 3.54/1.48 % (2157995)Peak memory usage: 86 MB
% 3.54/1.48 % (2157998)dis-21_1_sil=8000:lcm=predicate:random_seed=2847856381:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 3.54/1.48 % (2157997)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1377548299:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.54/1.48 % (2157997)First to succeed.
% 3.54/1.48 % (2157997)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2157987"
% 3.54/1.48 % (2157998)Instruction limit reached!
% 3.54/1.48 % (2157998)------------------------------
% 3.54/1.48 % (2157998)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.54/1.48 % (2157998)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.54/1.48 % (2157998)CaDiCaL version: 2.1.3
% 3.54/1.48 % (2157998)Termination reason: Instruction limit
% 3.54/1.48 % (2157998)Termination phase: Saturation
% 3.54/1.48 % (2157998)Time elapsed: 0.078 s
% 3.54/1.48 % (2157998)Peak memory usage: 89 MB
% 3.54/1.48 % (2157998)Instructions burned: 130 (million)
% 3.54/1.48 % (2158006)lrs+10_1_sil=8000:sp=occurrence:random_seed=2822137702:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 3.54/1.48 % (2158006)Refutation not found, incomplete strategy
% 3.54/1.48 % (2158006)------------------------------
% 3.54/1.48 % (2158006)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.54/1.48 % (2158006)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.54/1.48 % (2158006)CaDiCaL version: 2.1.3
% 3.54/1.48 % (2158006)Termination reason: Refutation not found, incomplete strategy
% 3.54/1.48 % (2158006)Time elapsed: 0.001 s
% 3.54/1.48 % (2158006)Peak memory usage: 86 MB
% 3.54/1.48 % (2157996)------------------------------
% 3.54/1.48 % (2157996)------------------------------
% 3.54/1.48 % (2157995)------------------------------
% 3.54/1.48 % (2157995)------------------------------
% 3.54/1.48 % (2157997)Refutation found. Thanks to Tanya!
% 3.54/1.48 % SZS status Theorem for theBenchmark
% 3.54/1.48 % SZS output start Proof for theBenchmark
% See solution above
% 3.54/1.48 % (2157997)------------------------------
% 3.54/1.48 % (2157997)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.54/1.48 % (2157997)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.54/1.48 % (2157997)CaDiCaL version: 2.1.3
% 3.54/1.48 % (2157997)Termination reason: Refutation
% 3.54/1.48 % (2157997)Time elapsed: 0.003 s
% 3.54/1.48 % (2157997)Peak memory usage: 89 MB
% 3.54/1.48 % (2157997)Instructions burned: 3 (million)
% 3.54/1.48 % (2157997)------------------------------
% 3.54/1.48 % (2157997)------------------------------
% 3.54/1.48 % (2157987)Success in time 0.418 s
% 3.54/1.48 % Vampire exiting
%------------------------------------------------------------------------------