%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN966+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n006.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 02:22:58 PM UTC 2026
% Result : Theorem 0.20s 0.28s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 1
% Syntax : Number of formulae : 17 ( 6 unt; 0 def)
% Number of atoms : 41 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 39 ( 15 ~; 12 |; 2 &)
% ( 6 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 27 ( 25 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
( ! [X0,X1] :
( eq(X0,X1)
<=> ! [X2] :
( a_member_of(X2,X0)
<=> a_member_of(X2,X1) ) )
=> ! [X3,X4] :
( eq(X3,X4)
=> eq(X4,X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
fof(f2,negated_conjecture,
~ ( ! [X0,X1] :
( eq(X0,X1)
<=> ! [X2] :
( a_member_of(X2,X0)
<=> a_member_of(X2,X1) ) )
=> ! [X3,X4] :
( eq(X3,X4)
=> eq(X4,X3) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
( ? [X3,X4] :
( ~ eq(X4,X3)
& eq(X3,X4) )
& ! [X0,X1] :
( eq(X0,X1)
<=> ! [X2] :
( a_member_of(X2,X0)
<=> a_member_of(X2,X1) ) ) ),
inference(ennf_transformation,[],[f2]) ).
fof(f4,plain,
! [X2,X0,X1] :
( ~ eq(X0,X1)
| a_member_of(X2,X0)
| ~ a_member_of(X2,X1) ),
inference(cnf_transformation,[],[f3]) ).
fof(f5,plain,
! [X2,X0,X1] :
( ~ eq(X0,X1)
| ~ a_member_of(X2,X0)
| a_member_of(X2,X1) ),
inference(cnf_transformation,[],[f3]) ).
fof(f6,plain,
! [X0,X1] :
( eq(X0,X1)
| a_member_of(sK2(X0,X1),X0)
| a_member_of(sK2(X0,X1),X1) ),
inference(cnf_transformation,[],[f3]) ).
fof(f7,plain,
! [X0,X1] :
( eq(X0,X1)
| ~ a_member_of(sK2(X0,X1),X0)
| ~ a_member_of(sK2(X0,X1),X1) ),
inference(cnf_transformation,[],[f3]) ).
fof(f8,plain,
eq(sK0,sK1),
inference(cnf_transformation,[],[f3]) ).
fof(f9,plain,
~ eq(sK1,sK0),
inference(cnf_transformation,[],[f3]) ).
fof(f10,plain,
! [X0] :
( ~ a_member_of(X0,sK1)
| a_member_of(X0,sK0) ),
inference(resolution,[],[f4,f8]) ).
fof(f11,plain,
! [X0] :
( a_member_of(X0,sK1)
| ~ a_member_of(X0,sK0) ),
inference(resolution,[],[f5,f8]) ).
fof(f12,plain,
( a_member_of(sK2(sK1,sK0),sK1)
| a_member_of(sK2(sK1,sK0),sK0) ),
inference(resolution,[],[f6,f9]) ).
fof(f15,plain,
a_member_of(sK2(sK1,sK0),sK0),
inference(forward_subsumption_resolution,[],[f12,f10]) ).
fof(f16,plain,
( ~ a_member_of(sK2(sK1,sK0),sK1)
| ~ a_member_of(sK2(sK1,sK0),sK0) ),
inference(resolution,[],[f7,f9]) ).
fof(f19,plain,
~ a_member_of(sK2(sK1,sK0),sK1),
inference(forward_subsumption_resolution,[],[f16,f10]) ).
fof(f21,plain,
~ a_member_of(sK2(sK1,sK0),sK0),
inference(resolution,[],[f11,f19]) ).
fof(f22,plain,
$false,
inference(forward_subsumption_resolution,[],[f21,f15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN966+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.07/0.21 % Computer : n006.cluster.edu
% 0.07/0.21 % Model : x86_64 x86_64
% 0.07/0.21 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.21 % Memory : 8046.5625MB
% 0.07/0.21 % OS : Linux 6.8.0-71-generic
% 0.07/0.21 % CPULimit : 300
% 0.07/0.21 % WCLimit : 300
% 0.07/0.21 % DateTime : Mon Sep 28 17:16:41 UTC 2026
% 0.07/0.21 % CPUTime :
% 0.07/0.21 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.07/0.24 Running first-order model finding
% 0.07/0.24 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
% 0.20/0.28 % (4124310)Will run a generic schedule for satisfiability detection.
% 0.20/0.28 % (4124315)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3520652361_3000 on theBenchmark for (3000ds/0Mi)
% 0.20/0.28 % TRYING [1]
% 0.20/0.28 % TRYING [2]
% 0.20/0.28 % TRYING [3]
% 0.20/0.28 % TRYING [4]
% 0.20/0.28 % TRYING [5]
% 0.20/0.28 % TRYING [6]
% 0.20/0.28 % TRYING [7]
% 0.20/0.28 % TRYING [8]
% 0.20/0.28 % TRYING [9]
% 0.20/0.28 % TRYING [10]
% 0.20/0.28 % (4124316)% WARNING: option uhcvi not known.
% 0.20/0.28 % TRYING [11]
% 0.20/0.28 % TRYING [12]
% 0.20/0.28 % TRYING [13]
% 0.20/0.28 % (4124316)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=35445874:i=135531:add=off:rawr=on_3000 on theBenchmark for (3000ds/135531Mi)
% 0.20/0.28 % (4124317)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3779300114:i=88024:add=on:rawr=on_3000 on theBenchmark for (3000ds/88024Mi)
% 0.20/0.28 % (4124318)dis+10_1_sil=32000:sp=arity:random_seed=1564184609:i=103:fgj=on_3000 on theBenchmark for (3000ds/103Mi)
% 0.20/0.28 % TRYING [14]
% 0.20/0.28 % (4124319)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3237917423:i=116_3000 on theBenchmark for (3000ds/116Mi)
% 0.20/0.28 % (4124320)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2873791548:i=131_3000 on theBenchmark for (3000ds/131Mi)
% 0.20/0.28 % (4124321)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1455416291:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_3000 on theBenchmark for (3000ds/159Mi)
% 0.20/0.28 % (4124319) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-4124310-4124319"...
% 0.20/0.28 % TRYING [15]
% 0.20/0.28 % (4124318) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-4124310-4124318"...
% 0.20/0.28 % (4124320) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-4124310-4124320"...
% 0.20/0.28 % (4124316) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-4124310-4124316"...
% 0.20/0.28 % (4124321) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-4124310-4124321"...
% 0.20/0.28 % (4124319)...printing done.
% 0.20/0.28 % (4124317) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-4124310-4124317"...
% 0.20/0.28 % (4124318)...printing done.
% 0.20/0.28 % (4124319)Refutation found. Thanks to Tanya!
% 0.20/0.28 % SZS status Theorem for theBenchmark
% 0.20/0.28 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.28 % (4124319)------------------------------
% 0.20/0.28 % (4124319)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.28 % (4124319)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.28 % (4124319)CaDiCaL version: 2.1.3
% 0.20/0.28 % (4124319)Termination reason: Refutation
% 0.20/0.28 % (4124319)Time elapsed: 0.001 s
% 0.20/0.28 % (4124319)Peak memory usage: 11 MB
% 0.20/0.28 % (4124319)Instructions burned: 1 (million)
% 0.20/0.28 % (4124310)Success in time 0.025 s
% 0.20/0.28 % Vampire exiting
%------------------------------------------------------------------------------