%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ALG371-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n005.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 09:30:25 AM UTC 2026
% Result : Unsatisfiable 0.33s 0.42s
% Output : Refutation 0.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 7
% Syntax : Number of formulae : 19 ( 10 unt; 0 def)
% Number of atoms : 32 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 25 ( 12 ~; 13 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 19 ( 19 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f456,axiom,
! [X2,X0,X1] :
( c_lessequals(X0,X1,tc_RealDef_Oreal)
| ~ c_lessequals(X2,X1,tc_RealDef_Oreal)
| ~ c_lessequals(X0,X2,tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__le__trans_0) ).
fof(f469,axiom,
! [X0,X1] :
( ~ class_RealVector_Oreal__normed__vector(X0)
| c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X1,X0),tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_norm__ge__zero_0) ).
fof(f504,axiom,
! [X2,X0,X1] :
( ~ class_Orderings_Opreorder(X0)
| ~ c_lessequals(X1,X2,X0)
| ~ c_HOL_Oord__class_Oless(X2,X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_less__le__not__le_1) ).
fof(f512,negated_conjecture,
c_HOL_Oord__class_Oless(v_r,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f513,negated_conjecture,
c_lessequals(c_RealVector_Onorm__class_Onorm(v_x,tc_Complex_Ocomplex),v_r,tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f558,axiom,
class_Orderings_Opreorder(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Orderings_Opreorder) ).
fof(f573,axiom,
class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__RealVector_Oreal__normed__vector) ).
fof(f860,plain,
! [X2,X0,X1] :
( ~ c_lessequals(X0,X1,tc_RealDef_Oreal)
| c_lessequals(X2,X1,tc_RealDef_Oreal)
| c_lessequals(X0,X2,tc_RealDef_Oreal) ),
inference(consistent_polarity_flipping,[],[f456]) ).
fof(f870,plain,
! [X0,X1] :
( ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X1,X0),tc_RealDef_Oreal)
| class_RealVector_Oreal__normed__vector(X0) ),
inference(consistent_polarity_flipping,[],[f469]) ).
fof(f893,plain,
! [X2,X0,X1] :
( ~ c_HOL_Oord__class_Oless(X2,X1,X0)
| c_lessequals(X1,X2,X0)
| class_Orderings_Opreorder(X0) ),
inference(consistent_polarity_flipping,[],[f504]) ).
fof(f901,plain,
~ c_lessequals(c_RealVector_Onorm__class_Onorm(v_x,tc_Complex_Ocomplex),v_r,tc_RealDef_Oreal),
inference(consistent_polarity_flipping,[],[f513]) ).
fof(f925,plain,
~ class_Orderings_Opreorder(tc_RealDef_Oreal),
inference(consistent_polarity_flipping,[],[f558]) ).
fof(f934,plain,
~ class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex),
inference(consistent_polarity_flipping,[],[f573]) ).
fof(f1046,plain,
( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_r,tc_RealDef_Oreal)
| class_Orderings_Opreorder(tc_RealDef_Oreal) ),
inference(resolution,[],[f893,f512]) ).
fof(f1047,plain,
c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_r,tc_RealDef_Oreal),
inference(forward_subsumption_resolution,[],[f1046,f925]) ).
fof(f1172,plain,
! [X0] :
( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
| c_lessequals(X0,v_r,tc_RealDef_Oreal) ),
inference(resolution,[],[f860,f1047]) ).
fof(f1199,plain,
! [X0,X1] :
( c_lessequals(c_RealVector_Onorm__class_Onorm(X0,X1),v_r,tc_RealDef_Oreal)
| class_RealVector_Oreal__normed__vector(X1) ),
inference(resolution,[],[f1172,f870]) ).
fof(f1210,plain,
class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex),
inference(resolution,[],[f1199,f901]) ).
fof(f1218,plain,
$false,
inference(forward_subsumption_resolution,[],[f1210,f934]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : ALG371-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.26 % Computer : n005.cluster.edu
% 0.10/0.26 % Model : x86_64 x86_64
% 0.10/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.26 % Memory : 8046.5625MB
% 0.10/0.26 % OS : Linux 6.8.0-71-generic
% 0.10/0.26 % CPULimit : 300
% 0.10/0.26 % WCLimit : 300
% 0.10/0.26 % DateTime : Mon Sep 28 20:13:32 UTC 2026
% 0.10/0.27 % CPUTime :
% 0.10/0.27 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.26/0.32 Running first-order model finding
% 0.26/0.32 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
% 0.33/0.42 % (1109554)Will run a generic schedule for satisfiability detection.
% 0.33/0.42 % (1109561)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=53528404:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.33/0.42 % (1109560)% WARNING: option uhcvi not known.
% 0.33/0.42 % (1109562)dis+10_1_sil=32000:sp=arity:random_seed=1210651373:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.33/0.42 % (1109560)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3265556023:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.33/0.42 % (1109559)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2442367926_2999 on theBenchmark for (2999ds/0Mi)
% 0.33/0.42 % (1109563)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=190302732:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.33/0.42 % (1109564)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1857318231:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.33/0.42 % (1109565)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1587739410:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.33/0.42 % (1109560) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1109554-1109560"...
% 0.33/0.42 % (1109560)...printing done.
% 0.33/0.42 % (1109560)Refutation found. Thanks to Tanya!
% 0.33/0.42 % SZS status Unsatisfiable for theBenchmark
% 0.33/0.42 % SZS output start Proof for theBenchmark
% See solution above
% 0.33/0.42 % (1109560)------------------------------
% 0.33/0.42 % (1109560)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.33/0.42 % (1109560)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.33/0.42 % (1109560)CaDiCaL version: 2.1.3
% 0.33/0.42 % (1109560)Termination reason: Refutation
% 0.33/0.42 % (1109560)Time elapsed: 0.022 s
% 0.33/0.42 % (1109560)Peak memory usage: 12 MB
% 0.33/0.42 % (1109560)Instructions burned: 19 (million)
% 0.33/0.42 % (1109554)Success in time 0.088 s
% 0.33/0.42 % Vampire exiting
%------------------------------------------------------------------------------