%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ITP019+2 : TPTP v9.3.1. Bugfixed v7.5.0.
% 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 11:35:26 AM UTC 2026
% Result : Theorem 0.17s 0.50s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 2
% Syntax : Number of formulae : 13 ( 5 unt; 0 def)
% Number of atoms : 28 ( 19 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 28 ( 13 ~; 4 |; 4 &)
% ( 2 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 7 ( 5 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f32,axiom,
! [X0] :
( mem(X0,ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal))
=> ( ap(c_2Ecomplex_2Ecomplex__inv,X0) = ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0)
<=> X0 = ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_thm_2Ecomplex_2ECOMPLEX__INV__EQ__0) ).
fof(f33,conjecture,
! [X0] :
( mem(X0,ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal))
=> ( X0 != ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0)
=> ap(c_2Ecomplex_2Ecomplex__inv,X0) != ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_thm_2Ecomplex_2ECOMPLEX__INV__NZ) ).
fof(f34,negated_conjecture,
~ ! [X0] :
( mem(X0,ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal))
=> ( X0 != ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0)
=> ap(c_2Ecomplex_2Ecomplex__inv,X0) != ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0) ) ),
inference(negated_conjecture,[status(cth)],[f33]) ).
fof(f53,plain,
! [X0] :
( ( ap(c_2Ecomplex_2Ecomplex__inv,X0) = ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0)
<=> X0 = ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0) )
| ~ mem(X0,ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal)) ),
inference(ennf_transformation,[],[f32]) ).
fof(f54,plain,
? [X0] :
( ap(c_2Ecomplex_2Ecomplex__inv,X0) = ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0)
& X0 != ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0)
& mem(X0,ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal)) ),
inference(ennf_transformation,[],[f34]) ).
fof(f55,plain,
? [X0] :
( ap(c_2Ecomplex_2Ecomplex__inv,X0) = ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0)
& X0 != ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0)
& mem(X0,ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal)) ),
inference(flattening,[],[f54]) ).
fof(f96,plain,
! [X0] :
( ~ mem(X0,ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal))
| ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0) = X0
| ap(c_2Ecomplex_2Ecomplex__inv,X0) != ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0) ),
inference(cnf_transformation,[],[f53]) ).
fof(f97,plain,
mem(sK3,ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal)),
inference(cnf_transformation,[],[f55]) ).
fof(f98,plain,
ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0) != sK3,
inference(cnf_transformation,[],[f55]) ).
fof(f99,plain,
ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0) = ap(c_2Ecomplex_2Ecomplex__inv,sK3),
inference(cnf_transformation,[],[f55]) ).
fof(f311,plain,
( ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0) = sK3
| ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0) != ap(c_2Ecomplex_2Ecomplex__inv,sK3) ),
inference(resolution,[],[f96,f97]) ).
fof(f312,plain,
ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0) != ap(c_2Ecomplex_2Ecomplex__inv,sK3),
inference(forward_subsumption_resolution,[],[f311,f98]) ).
fof(f313,plain,
$false,
inference(forward_subsumption_resolution,[],[f312,f99]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP019+2 : TPTP v9.3.1. Bugfixed v7.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.42 % Computer : n011.cluster.edu
% 0.12/0.42 % Model : x86_64 x86_64
% 0.12/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.42 % Memory : 8046.5625MB
% 0.12/0.42 % OS : Linux 6.8.0-71-generic
% 0.12/0.42 % CPULimit : 300
% 0.12/0.42 % WCLimit : 300
% 0.12/0.42 % DateTime : Sun Sep 27 12:05:45 UTC 2026
% 0.12/0.42 % CPUTime :
% 0.12/0.42 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.45 Running first-order model finding
% 0.12/0.45 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
% 0.17/0.50 % (2281042)Will run a generic schedule for satisfiability detection.
% 0.17/0.50 % (2281051)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2596612808:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.17/0.50 % (2281048)% WARNING: option uhcvi not known.
% 0.17/0.50 % (2281050)dis+10_1_sil=32000:sp=arity:random_seed=1176841050:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.17/0.50 % (2281047)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2903042318_2999 on theBenchmark for (2999ds/0Mi)
% 0.17/0.50 % (2281048)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=723790998:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.17/0.50 % (2281049)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3763068484:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.17/0.50 % (2281051) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2281042-2281051"...
% 0.17/0.50 % (2281052)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3820544221:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.17/0.50 % (2281053)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=4280287977:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.17/0.50 % (2281051)...printing done.
% 0.17/0.50 % (2281051)Refutation found. Thanks to Tanya!
% 0.17/0.50 % SZS status Theorem for theBenchmark
% 0.17/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.50 % (2281051)------------------------------
% 0.17/0.50 % (2281051)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/0.50 % (2281051)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/0.50 % (2281051)CaDiCaL version: 2.1.3
% 0.17/0.50 % (2281051)Termination reason: Refutation
% 0.17/0.50 % (2281051)Time elapsed: 0.008 s
% 0.17/0.50 % (2281051)Peak memory usage: 12 MB
% 0.17/0.50 % (2281051)Instructions burned: 20 (million)
% 0.17/0.50 % (2281042)Success in time 0.035 s
% 0.17/0.50 % Vampire exiting
%------------------------------------------------------------------------------