%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ALG384-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n019.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 09:19:54 AM UTC 2026
% Result : Unsatisfiable 2.79s 1.17s
% Output : Refutation 2.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 8 ( 5 unt; 0 def)
% Number of atoms : 13 ( 5 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 10 ( 5 ~; 5 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 4 ( 4 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f582,axiom,
! [X0,X1] :
( ~ class_RealVector_Oreal__normed__vector(X0)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X1,X0),tc_RealDef_Oreal)
| X1 = c_HOL_Ozero__class_Ozero(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_zero__less__norm__iff_1) ).
fof(f583,plain,
! [X0,X1] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X1,X0),tc_RealDef_Oreal)
| ~ class_RealVector_Oreal__normed__vector(X0)
| c_HOL_Ozero__class_Ozero(X0) = X1 ),
inference(reorient_equations,[],[f582]) ).
fof(f598,axiom,
v_c____ != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_0) ).
fof(f599,negated_conjecture,
~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(v_c____,tc_Complex_Ocomplex),tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f665,axiom,
class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__RealVector_Oreal__normed__vector) ).
fof(f1100,plain,
( ~ class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex)
| v_c____ = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
inference(resolution,[],[f583,f599]) ).
fof(f1105,plain,
v_c____ = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),
inference(forward_subsumption_resolution,[],[f1100,f665]) ).
fof(f1106,plain,
$false,
inference(forward_subsumption_resolution,[],[f1105,f598]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG384-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.17 % Computer : n019.cluster.edu
% 0.09/0.17 % Model : x86_64 x86_64
% 0.09/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.17 % Memory : 8046.5625MB
% 0.09/0.17 % OS : Linux 6.8.0-71-generic
% 0.09/0.17 % CPULimit : 300
% 0.09/0.17 % WCLimit : 300
% 0.09/0.17 % DateTime : Mon Sep 28 20:14:48 UTC 2026
% 0.09/0.17 % CPUTime :
% 0.09/0.17 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.21 Running first-order theorem proving
% 0.09/0.21 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.79/1.17 % (189953)Input is clausal, will run a generic CNF schedule.
% 2.79/1.17 % (189962)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=969117467:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.79/1.17 % (189962)First to succeed.
% 2.79/1.17 % (189962)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-189953"
% 2.79/1.17 % (189963)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=71900271:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.79/1.17 % (189961)lrs+10_1_sil=8000:sp=occurrence:random_seed=900391162:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.79/1.17 % (189960)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3226585474:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.79/1.17 % (189958)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=3677479620:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.79/1.17 % (189964)dis-21_1_sil=8000:lcm=predicate:random_seed=1576258592:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 2.79/1.17 % (189959)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1233520224:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.79/1.17 % (189961)Also succeeded, but the first one will report.
% 2.79/1.17 % (189963)Also succeeded, but the first one will report.
% 2.79/1.17 % (189964)Instruction limit reached!
% 2.79/1.17 % (189964)------------------------------
% 2.79/1.17 % (189964)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.79/1.17 % (189964)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.79/1.17 % (189964)CaDiCaL version: 2.1.3
% 2.79/1.17 % (189964)Termination reason: Instruction limit
% 2.79/1.17 % (189964)Termination phase: Saturation
% 2.79/1.17 % (189964)Time elapsed: 0.070 s
% 2.79/1.17 % (189964)Peak memory usage: 89 MB
% 2.79/1.17 % (189964)Instructions burned: 117 (million)
% 2.79/1.17 % (189962)Refutation found. Thanks to Tanya!
% 2.79/1.17 % SZS status Unsatisfiable for theBenchmark
% 2.79/1.17 % SZS output start Proof for theBenchmark
% See solution above
% 2.79/1.17 % (189962)------------------------------
% 2.79/1.17 % (189962)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.79/1.17 % (189962)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.79/1.17 % (189962)CaDiCaL version: 2.1.3
% 2.79/1.17 % (189962)Termination reason: Refutation
% 2.79/1.17 % (189962)Time elapsed: 0.009 s
% 2.79/1.17 % (189962)Peak memory usage: 89 MB
% 2.79/1.17 % (189962)Instructions burned: 24 (million)
% 2.79/1.17 % (189962)------------------------------
% 2.79/1.17 % (189962)------------------------------
% 2.79/1.17 % (189953)Success in time 0.321 s
% 2.79/1.17 % Vampire exiting
%------------------------------------------------------------------------------