%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SET767+4 : TPTP v9.3.1. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n011.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 12:44:34 PM UTC 2026
% Result : Theorem 0.16s 0.46s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 3
% Syntax : Number of formulae : 14 ( 5 unt; 0 def)
% Number of atoms : 26 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 19 ( 7 ~; 4 |; 2 &)
% ( 3 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-3 aty)
% Number of variables : 27 ( 24 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( member(X2,X0)
=> member(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET006+0.ax',subset) ).
fof(f15,axiom,
! [X0,X1,X2,X3] :
( member(X3,equivalence_class(X2,X1,X0))
<=> ( member(X3,X1)
& apply(X0,X2,X3) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET006+2.ax',equivalence_class) ).
fof(f17,conjecture,
! [X0,X1,X2] :
( equivalence(X1,X0)
=> subset(equivalence_class(X2,X0,X1),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thIII03) ).
fof(f18,negated_conjecture,
~ ! [X0,X1,X2] :
( equivalence(X1,X0)
=> subset(equivalence_class(X2,X0,X1),X0) ),
inference(negated_conjecture,[status(cth)],[f17]) ).
fof(f23,plain,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( member(X2,X1)
| ~ member(X2,X0) ) ),
inference(ennf_transformation,[],[f1]) ).
fof(f27,plain,
? [X0,X1,X2] :
( ~ subset(equivalence_class(X2,X0,X1),X0)
& equivalence(X1,X0) ),
inference(ennf_transformation,[],[f18]) ).
fof(f29,plain,
! [X0,X1] :
( subset(X0,X1)
| member(sK0(X0,X1),X0) ),
inference(cnf_transformation,[],[f23]) ).
fof(f30,plain,
! [X0,X1] :
( subset(X0,X1)
| ~ member(sK0(X0,X1),X1) ),
inference(cnf_transformation,[],[f23]) ).
fof(f58,plain,
! [X2,X3,X0,X1] :
( ~ member(X3,equivalence_class(X2,X1,X0))
| member(X3,X1) ),
inference(cnf_transformation,[],[f15]) ).
fof(f61,plain,
~ subset(equivalence_class(sK5,sK3,sK4),sK3),
inference(cnf_transformation,[],[f27]) ).
fof(f68,plain,
member(sK0(equivalence_class(sK5,sK3,sK4),sK3),equivalence_class(sK5,sK3,sK4)),
inference(resolution,[],[f29,f61]) ).
fof(f70,plain,
~ member(sK0(equivalence_class(sK5,sK3,sK4),sK3),sK3),
inference(resolution,[],[f30,f61]) ).
fof(f89,plain,
member(sK0(equivalence_class(sK5,sK3,sK4),sK3),sK3),
inference(resolution,[],[f58,f68]) ).
fof(f92,plain,
$false,
inference(forward_subsumption_resolution,[],[f89,f70]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET767+4 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.37 % Computer : n011.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Mon Sep 28 02:45:31 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.16/0.41 Running first-order model finding
% 0.16/0.41 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
% 0.16/0.46 % (2970861)Will run a generic schedule for satisfiability detection.
% 0.16/0.46 % (2970867)% WARNING: option uhcvi not known.
% 0.16/0.46 % (2970871)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3514118207:i=131_3000 on theBenchmark for (3000ds/131Mi)
% 0.16/0.46 % (2970867)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2625744394:i=135531:add=off:rawr=on_3000 on theBenchmark for (3000ds/135531Mi)
% 0.16/0.46 % (2970866)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3676724686_3000 on theBenchmark for (3000ds/0Mi)
% 0.16/0.46 % (2970869)dis+10_1_sil=32000:sp=arity:random_seed=1691286955:i=103:fgj=on_3000 on theBenchmark for (3000ds/103Mi)
% 0.16/0.46 % (2970870)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=4196659735:i=116_3000 on theBenchmark for (3000ds/116Mi)
% 0.16/0.46 % (2970872)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1979806914:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_3000 on theBenchmark for (3000ds/159Mi)
% 0.16/0.46 % (2970868)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1361045615:i=88024:add=on:rawr=on_3000 on theBenchmark for (3000ds/88024Mi)
% 0.16/0.46 % TRYING [1]
% 0.16/0.46 % TRYING [2]
% 0.16/0.46 % (2970867) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2970861-2970867"...
% 0.16/0.46 % (2970870) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2970861-2970870"...
% 0.16/0.46 % TRYING [3]
% 0.16/0.46 % (2970870)...printing done.
% 0.16/0.46 % (2970867)...printing done.
% 0.16/0.46 % (2970870)Refutation found. Thanks to Tanya!
% 0.16/0.46 % SZS status Theorem for theBenchmark
% 0.16/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.46 % (2970870)------------------------------
% 0.16/0.46 % (2970870)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.16/0.46 % (2970870)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/0.46 % (2970870)CaDiCaL version: 2.1.3
% 0.16/0.46 % (2970870)Termination reason: Refutation
% 0.16/0.46 % (2970870)Time elapsed: 0.005 s
% 0.16/0.46 % (2970870)Peak memory usage: 12 MB
% 0.16/0.46 % (2970870)Instructions burned: 4 (million)
% 0.16/0.46 % (2970861)Success in time 0.043 s
% 0.16/0.46 % Vampire exiting
%------------------------------------------------------------------------------