%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ALG362-1 : 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 : n006.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 09:19:52 AM UTC 2026
% Result : Unsatisfiable 1.86s 0.80s
% Output : Refutation 1.86s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 7
% Syntax : Number of formulae : 14 ( 9 unt; 0 def)
% Number of atoms : 20 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 17 ( 11 ~; 6 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 5 con; 0-3 aty)
% Number of variables : 13 ( 13 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f527,axiom,
! [X0,X1] :
( ~ c_HOL_Oord__class_Oless(X0,X1,tc_RealDef_Oreal)
| c_lessequals(X0,X1,tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__less__def_0) ).
fof(f722,axiom,
! [X0,X1] :
( ~ class_Ring__and__Field_Oordered__semidom(X0)
| c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(X0),X0),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_less__add__one_0) ).
fof(f770,axiom,
! [X0] : c_lessequals(c_HOL_Oabs__class_Oabs(c_Complex_ORe(X0),tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X0,tc_Complex_Ocomplex),tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_abs__Re__le__cmod_0) ).
fof(f771,axiom,
! [X0] : c_lessequals(c_RealVector_Onorm__class_Onorm(hAPP(v_s,X0),tc_Complex_Ocomplex),v_r,tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_r_0) ).
fof(f778,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(f827,negated_conjecture,
~ c_lessequals(c_HOL_Oabs__class_Oabs(c_Complex_ORe(hAPP(v_s,v_n____)),tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(v_r,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f881,axiom,
class_Ring__and__Field_Oordered__semidom(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Ring__and__Field_Oordered__semidom) ).
fof(f1396,plain,
! [X0] : c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(resolution,[],[f722,f881]) ).
fof(f1401,plain,
! [X0] : c_lessequals(X0,c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(resolution,[],[f1396,f527]) ).
fof(f1578,plain,
! [X0] :
( ~ c_lessequals(c_HOL_Oabs__class_Oabs(c_Complex_ORe(hAPP(v_s,v_n____)),tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
| ~ c_lessequals(X0,c_HOL_Oplus__class_Oplus(v_r,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(resolution,[],[f778,f827]) ).
fof(f1588,plain,
~ c_lessequals(c_RealVector_Onorm__class_Onorm(hAPP(v_s,v_n____),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(v_r,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(resolution,[],[f1578,f770]) ).
fof(f1599,plain,
! [X0] :
( ~ c_lessequals(X0,c_HOL_Oplus__class_Oplus(v_r,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(c_RealVector_Onorm__class_Onorm(hAPP(v_s,v_n____),tc_Complex_Ocomplex),X0,tc_RealDef_Oreal) ),
inference(resolution,[],[f1588,f778]) ).
fof(f1631,plain,
~ c_lessequals(v_r,c_HOL_Oplus__class_Oplus(v_r,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(resolution,[],[f1599,f771]) ).
fof(f1642,plain,
$false,
inference(resolution,[],[f1631,f1401]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG362-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n006.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Mon Sep 28 20:10:10 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 Running first-order theorem proving
% 0.09/0.23 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
% 1.86/0.80 % (131187)Input is clausal, will run a generic CNF schedule.
% 1.86/0.80 % (131198)dis-21_1_sil=8000:lcm=predicate:random_seed=169499473: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)
% 1.86/0.80 % (131198)First to succeed.
% 1.86/0.80 % (131198)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-131187"
% 1.86/0.80 % (131193)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2340657664:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 1.86/0.80 % (131192)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=3509252045:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 1.86/0.80 % (131196)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2913129853:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 1.86/0.80 % (131195)lrs+10_1_sil=8000:sp=occurrence:random_seed=384297391:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 1.86/0.80 % (131194)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3872555157:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 1.86/0.80 % (131197)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=790968031:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 1.86/0.80 % (131197)Also succeeded, but the first one will report.
% 1.86/0.80 % (131196)Instruction limit reached!
% 1.86/0.80 % (131196)------------------------------
% 1.86/0.80 % (131196)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.86/0.80 % (131196)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.86/0.80 % (131196)CaDiCaL version: 2.1.3
% 1.86/0.80 % (131196)Termination reason: Instruction limit
% 1.86/0.80 % (131196)Termination phase: Saturation
% 1.86/0.80 % (131196)Time elapsed: 0.071 s
% 1.86/0.80 % (131196)Peak memory usage: 89 MB
% 1.86/0.80 % (131196)Instructions burned: 114 (million)
% 1.86/0.80 % (131195)Instruction limit reached!
% 1.86/0.80 % (131195)------------------------------
% 1.86/0.80 % (131195)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.86/0.80 % (131195)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.86/0.80 % (131195)CaDiCaL version: 2.1.3
% 1.86/0.80 % (131195)Termination reason: Instruction limit
% 1.86/0.80 % (131195)Termination phase: Saturation
% 1.86/0.80 % (131195)Time elapsed: 0.076 s
% 1.86/0.80 % (131195)Peak memory usage: 89 MB
% 1.86/0.80 % (131195)Instructions burned: 107 (million)
% 1.86/0.80 % (131198)Refutation found. Thanks to Tanya!
% 1.86/0.80 % SZS status Unsatisfiable for theBenchmark
% 1.86/0.80 % SZS output start Proof for theBenchmark
% See solution above
% 1.86/0.80 % (131198)------------------------------
% 1.86/0.80 % (131198)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.86/0.80 % (131198)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.86/0.80 % (131198)CaDiCaL version: 2.1.3
% 1.86/0.80 % (131198)Termination reason: Refutation
% 1.86/0.80 % (131198)Time elapsed: 0.011 s
% 1.86/0.80 % (131198)Peak memory usage: 89 MB
% 1.86/0.80 % (131198)Instructions burned: 34 (million)
% 1.86/0.80 % (131198)------------------------------
% 1.86/0.80 % (131198)------------------------------
% 1.86/0.80 % (131187)Success in time 0.28 s
% 2.28/0.80 % Vampire exiting
%------------------------------------------------------------------------------