%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ALG341-1 : 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 09:19:49 AM UTC 2026
% Result : Unsatisfiable 3.80s 1.36s
% Output : Refutation 3.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 4
% Syntax : Number of formulae : 7 ( 5 unt; 0 def)
% Number of atoms : 10 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 9 ( 6 ~; 3 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 4 ( 4 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f620,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(f627,axiom,
c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(v_z____,tc_Complex_Ocomplex),tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_0) ).
fof(f628,axiom,
c_lessequals(c_RealVector_Onorm__class_Onorm(v_z____,tc_Complex_Ocomplex),v_r,tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_0_01) ).
fof(f629,negated_conjecture,
~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_r,tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f946,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,[],[f620,f629]) ).
fof(f950,plain,
~ c_lessequals(c_RealVector_Onorm__class_Onorm(v_z____,tc_Complex_Ocomplex),v_r,tc_RealDef_Oreal),
inference(resolution,[],[f946,f627]) ).
fof(f955,plain,
$false,
inference(forward_subsumption_resolution,[],[f950,f628]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG341-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.07 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.22 % Computer : n019.cluster.edu
% 0.10/0.22 % Model : x86_64 x86_64
% 0.10/0.22 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.22 % Memory : 8046.5625MB
% 0.10/0.22 % OS : Linux 6.8.0-71-generic
% 0.10/0.22 % CPULimit : 300
% 0.10/0.22 % WCLimit : 300
% 0.10/0.22 % DateTime : Mon Sep 28 20:09:18 UTC 2026
% 0.10/0.22 % CPUTime :
% 0.10/0.22 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.26 Running first-order theorem proving
% 0.10/0.26 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
% 3.80/1.36 % (188257)Input is clausal, will run a generic CNF schedule.
% 3.80/1.36 % (188268)dis-21_1_sil=8000:lcm=predicate:random_seed=3768785543: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)
% 3.80/1.36 % (188268)Instruction limit reached!
% 3.80/1.36 % (188268)------------------------------
% 3.80/1.36 % (188268)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.80/1.36 % (188268)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.80/1.36 % (188268)CaDiCaL version: 2.1.3
% 3.80/1.36 % (188268)Termination reason: Instruction limit
% 3.80/1.36 % (188268)Termination phase: Saturation
% 3.80/1.36 % (188268)Time elapsed: 0.039 s
% 3.80/1.36 % (188268)Peak memory usage: 89 MB
% 3.80/1.36 % (188268)Instructions burned: 118 (million)
% 3.80/1.36 % (188262)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=2495634369:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.80/1.36 % (188267)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2501315344:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.80/1.36 % (188263)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1348940357:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.80/1.36 % (188265)lrs+10_1_sil=8000:sp=occurrence:random_seed=3342513698:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.80/1.36 % (188266)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=604125968:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.80/1.36 % (188264)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=635147699:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.80/1.36 % (188266)First to succeed.
% 3.80/1.36 % (188267)Also succeeded, but the first one will report.
% 3.80/1.36 % (188266)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-188257"
% 3.80/1.36 % (188265)Also succeeded, but the first one will report.
% 3.80/1.36 % (188276)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=3528821568:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 3.80/1.36 % (188276)Also succeeded, but the first one will report.
% 3.80/1.36 % (188266)Refutation found. Thanks to Tanya!
% 3.80/1.36 % SZS status Unsatisfiable for theBenchmark
% 3.80/1.36 % SZS output start Proof for theBenchmark
% See solution above
% 3.80/1.36 % (188266)------------------------------
% 3.80/1.36 % (188266)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.80/1.36 % (188266)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.80/1.36 % (188266)CaDiCaL version: 2.1.3
% 3.80/1.36 % (188266)Termination reason: Refutation
% 3.80/1.36 % (188266)Time elapsed: 0.012 s
% 3.80/1.36 % (188266)Peak memory usage: 89 MB
% 3.80/1.36 % (188266)Instructions burned: 16 (million)
% 3.80/1.36 % (188266)------------------------------
% 3.80/1.36 % (188266)------------------------------
% 3.80/1.36 % (188257)Success in time 0.464 s
% 3.80/1.36 % Vampire exiting
%------------------------------------------------------------------------------