%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SET908+1 : 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 : n003.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 12:44:57 PM UTC 2026
% Result : Theorem 0.17s 0.47s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of formulae : 17 ( 8 unt; 0 def)
% Number of atoms : 31 ( 13 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 29 ( 15 ~; 9 |; 0 &)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 33 ( 31 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0,X1] :
( X1 = singleton(X0)
<=> ! [X2] :
( in(X2,X1)
<=> X2 = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_tarski) ).
fof(f4,axiom,
! [X0] :
( X0 = empty_set
<=> ! [X1] : ~ in(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_xboole_0) ).
fof(f5,axiom,
! [X0,X1,X2] :
( X2 = set_union2(X0,X1)
<=> ! [X3] :
( in(X3,X2)
<=> ( in(X3,X0)
| in(X3,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_xboole_0) ).
fof(f12,conjecture,
! [X0,X1] : set_union2(singleton(X0),X1) != empty_set,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t49_zfmisc_1) ).
fof(f13,negated_conjecture,
~ ! [X0,X1] : set_union2(singleton(X0),X1) != empty_set,
inference(negated_conjecture,[status(cth)],[f12]) ).
fof(f18,plain,
? [X0,X1] : empty_set = set_union2(singleton(X0),X1),
inference(ennf_transformation,[],[f13]) ).
fof(f21,plain,
! [X2,X0,X1] :
( X0 != X2
| in(X2,X1)
| singleton(X0) != X1 ),
inference(cnf_transformation,[],[f3]) ).
fof(f26,plain,
! [X0,X1] :
( ~ in(X1,X0)
| empty_set != X0 ),
inference(cnf_transformation,[],[f4]) ).
fof(f32,plain,
! [X2,X3,X0,X1] :
( ~ in(X3,X0)
| in(X3,X2)
| set_union2(X0,X1) != X2 ),
inference(cnf_transformation,[],[f5]) ).
fof(f39,plain,
empty_set = set_union2(singleton(sK5),sK6),
inference(cnf_transformation,[],[f18]) ).
fof(f41,plain,
! [X2,X1] :
( in(X2,X1)
| singleton(X2) != X1 ),
inference(equality_resolution,[],[f21]) ).
fof(f42,plain,
! [X2] : in(X2,singleton(X2)),
inference(equality_resolution,[],[f41]) ).
fof(f43,plain,
! [X1] : ~ in(X1,empty_set),
inference(equality_resolution,[],[f26]) ).
fof(f44,plain,
! [X3,X0,X1] :
( in(X3,set_union2(X0,X1))
| ~ in(X3,X0) ),
inference(equality_resolution,[],[f32]) ).
fof(f70,plain,
! [X0] :
( in(X0,empty_set)
| ~ in(X0,singleton(sK5)) ),
inference(superposition,[],[f44,f39]) ).
fof(f76,plain,
! [X0] : ~ in(X0,singleton(sK5)),
inference(forward_subsumption_resolution,[],[f70,f43]) ).
fof(f99,plain,
$false,
inference(resolution,[],[f76,f42]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET908+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.39 % Computer : n003.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 03:09:57 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.42 Running first-order model finding
% 0.12/0.42 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
% 0.17/0.47 % (1147435)Will run a generic schedule for satisfiability detection.
% 0.17/0.47 % (1147440)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3201783871_2999 on theBenchmark for (2999ds/0Mi)
% 0.17/0.47 % TRYING [1]
% 0.17/0.47 % TRYING [2]
% 0.17/0.47 % TRYING [3]
% 0.17/0.47 % TRYING [4]
% 0.17/0.47 % (1147441)% WARNING: option uhcvi not known.
% 0.17/0.47 % TRYING [5]
% 0.17/0.47 % (1147441)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1783281535:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.17/0.47 % (1147442)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3598710138:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.17/0.47 % (1147443)dis+10_1_sil=32000:sp=arity:random_seed=1186601899:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.17/0.47 % (1147444)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=199287555:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.17/0.47 % (1147445)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=4128734380:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.17/0.47 % (1147446)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3109535097:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.17/0.47 % (1147443) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1147435-1147443"...
% 0.17/0.47 % TRYING [6]
% 0.17/0.47 % (1147444) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1147435-1147444"...
% 0.17/0.47 % (1147446) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1147435-1147446"...
% 0.17/0.47 % (1147441) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1147435-1147441"...
% 0.17/0.47 % (1147444)...printing done.
% 0.17/0.47 % (1147442) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1147435-1147442"...
% 0.17/0.47 % (1147443)...printing done.
% 0.17/0.47 % (1147441)...printing done.
% 0.17/0.47 % (1147446)...printing done.
% 0.17/0.47 % (1147444)Refutation found. Thanks to Tanya!
% 0.17/0.47 % SZS status Theorem for theBenchmark
% 0.17/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.47 % (1147444)------------------------------
% 0.17/0.47 % (1147444)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/0.47 % (1147444)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/0.47 % (1147444)CaDiCaL version: 2.1.3
% 0.17/0.47 % (1147444)Termination reason: Refutation
% 0.17/0.47 % (1147444)Time elapsed: 0.003 s
% 0.17/0.47 % (1147444)Peak memory usage: 12 MB
% 0.17/0.47 % (1147444)Instructions burned: 3 (million)
% 0.17/0.47 % (1147435)Success in time 0.039 s
% 0.17/0.47 % Vampire exiting
%------------------------------------------------------------------------------