%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ALG342-1 : 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 : n009.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 09:30:22 AM UTC 2026
% Result : Unsatisfiable 1.67s 0.49s
% Output : Refutation 1.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 10 ( 3 unt; 0 def)
% Number of atoms : 17 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 17 ( 10 ~; 7 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 15 ( 15 usr; 6 con; 0-3 aty)
% Number of variables : 6 ( 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f520,axiom,
! [X0] :
( c_lessequals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(v_c____,tc_Complex_Ocomplex),tc_RealDef_Oreal),c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(v_r,v_m____,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(c_RealVector_Onorm__class_Onorm(X0,tc_Complex_Ocomplex),v_r,tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_0) ).
fof(f521,axiom,
c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(v_c____,tc_Complex_Ocomplex),tc_RealDef_Oreal),c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(v_r,v_m____,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_0_01) ).
fof(f522,negated_conjecture,
! [X0] :
( c_lessequals(c_RealVector_Onorm__class_Onorm(v_x(X0),tc_Complex_Ocomplex),v_r,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f523,negated_conjecture,
! [X0] :
( ~ c_lessequals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),v_x(X0),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f987,plain,
! [X0] :
( ~ c_lessequals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(v_c____,tc_Complex_Ocomplex),tc_RealDef_Oreal),c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(v_r,v_m____,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_lessequals(c_RealVector_Onorm__class_Onorm(X0,tc_Complex_Ocomplex),v_r,tc_RealDef_Oreal) ),
inference(consistent_polarity_flipping,[],[f520]) ).
fof(f988,plain,
! [X0] :
( ~ c_lessequals(c_RealVector_Onorm__class_Onorm(v_x(X0),tc_Complex_Ocomplex),v_r,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal) ),
inference(consistent_polarity_flipping,[],[f522]) ).
fof(f989,plain,
! [X0] :
( c_lessequals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),v_x(X0),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal) ),
inference(consistent_polarity_flipping,[],[f523]) ).
fof(f6704,plain,
( c_lessequals(c_RealVector_Onorm__class_Onorm(v_x(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(v_c____,tc_Complex_Ocomplex),tc_RealDef_Oreal),c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(v_r,v_m____,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)),tc_Complex_Ocomplex),v_r,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(v_c____,tc_Complex_Ocomplex),tc_RealDef_Oreal),c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(v_r,v_m____,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(resolution,[],[f987,f989]) ).
fof(f6755,plain,
~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(v_c____,tc_Complex_Ocomplex),tc_RealDef_Oreal),c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(v_r,v_m____,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(forward_subsumption_resolution,[],[f6704,f988]) ).
fof(f6756,plain,
$false,
inference(forward_subsumption_resolution,[],[f6755,f521]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ALG342-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.18 % Computer : n009.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Mon Sep 28 20:09:30 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.21 Running first-order model finding
% 0.08/0.21 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
% 1.67/0.49 % (3409854)Will run a generic schedule for satisfiability detection.
% 1.67/0.49 % (3409859)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1868203763_2999 on theBenchmark for (2999ds/0Mi)
% 1.67/0.49 % (3409860)% WARNING: option uhcvi not known.
% 1.67/0.49 % (3409861)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2365553936:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 1.67/0.49 % (3409860)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=254785905:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 1.67/0.49 % (3409862)dis+10_1_sil=32000:sp=arity:random_seed=4158567035:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 1.67/0.49 % (3409863)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3747579971:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 1.67/0.49 % (3409864)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3976478075:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 1.67/0.49 % (3409865)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=661206014:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 1.67/0.49 % TRYING [1]
% 1.67/0.49 % TRYING [2]
% 1.67/0.49 % TRYING [3]
% 1.67/0.49 % (3409862)Instruction limit reached!
% 1.67/0.49 % (3409862)------------------------------
% 1.67/0.49 % (3409862)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.67/0.49 % (3409862)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.67/0.49 % (3409862)CaDiCaL version: 2.1.3
% 1.67/0.49 % (3409862)Termination reason: Instruction limit
% 1.67/0.49 % (3409862)Termination phase: Saturation
% 1.67/0.49 % (3409862)Time elapsed: 0.064 s
% 1.67/0.49 % (3409862)Peak memory usage: 12 MB
% 1.67/0.49 % (3409862)Instructions burned: 103 (million)
% 1.67/0.49 % (3409863)Instruction limit reached!
% 1.67/0.49 % (3409863)------------------------------
% 1.67/0.49 % (3409863)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.67/0.49 % (3409863)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.67/0.49 % (3409863)CaDiCaL version: 2.1.3
% 1.67/0.49 % (3409863)Termination reason: Instruction limit
% 1.67/0.49 % (3409863)Termination phase: Saturation
% 1.67/0.49 % (3409863)Time elapsed: 0.069 s
% 1.67/0.49 % (3409863)Peak memory usage: 12 MB
% 1.67/0.49 % (3409863)Instructions burned: 116 (million)
% 1.67/0.49 % (3409864)Instruction limit reached!
% 1.67/0.49 % (3409864)------------------------------
% 1.67/0.49 % (3409864)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.67/0.49 % (3409864)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.67/0.49 % (3409864)CaDiCaL version: 2.1.3
% 1.67/0.49 % (3409864)Termination reason: Instruction limit
% 1.67/0.49 % (3409864)Termination phase: Saturation
% 1.67/0.49 % (3409864)Time elapsed: 0.080 s
% 1.67/0.49 % (3409864)Peak memory usage: 13 MB
% 1.67/0.49 % (3409864)Instructions burned: 132 (million)
% 1.67/0.49 % (3409873)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=490701545:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 1.67/0.49 % (3409874)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1669795715:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 1.67/0.49 % (3409875)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=510166477:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 1.67/0.49 % (3409865)Instruction limit reached!
% 1.67/0.49 % (3409865)------------------------------
% 1.67/0.49 % (3409865)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.67/0.49 % (3409865)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.67/0.49 % (3409865)CaDiCaL version: 2.1.3
% 1.67/0.49 % (3409865)Termination reason: Instruction limit
% 1.67/0.49 % (3409865)Termination phase: Saturation
% 1.67/0.49 % (3409865)Time elapsed: 0.108 s
% 1.67/0.49 % (3409865)Peak memory usage: 14 MB
% 1.67/0.49 % (3409865)Instructions burned: 159 (million)
% 1.67/0.49 % (3409879)ott-21_1_sil=16000:fs=off:random_seed=4207805316:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 1.67/0.49 % TRYING [1]
% 1.67/0.49 % TRYING [2]
% 1.67/0.49 % (3409874)Instruction limit reached!
% 1.67/0.49 % (3409874)------------------------------
% 1.67/0.49 % (3409874)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.67/0.49 % (3409874)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.67/0.49 % (3409874)CaDiCaL version: 2.1.3
% 1.67/0.49 % (3409874)Termination reason: Instruction limit
% 1.67/0.49 % (3409874)Termination phase: Saturation
% 1.67/0.49 % (3409874)Time elapsed: 0.084 s
% 1.67/0.49 % (3409874)Peak memory usage: 14 MB
% 1.67/0.49 % (3409874)Instructions burned: 131 (million)
% 1.67/0.49 % TRYING [3]
% 1.67/0.49 % (3409881)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2753002379:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 1.67/0.49 % TRYING [4]
% 1.67/0.49 % (3409860) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3409854-3409860"...
% 1.67/0.49 % (3409860)...printing done.
% 1.67/0.49 % (3409860)Refutation found. Thanks to Tanya!
% 1.67/0.49 % SZS status Unsatisfiable for theBenchmark
% 1.67/0.49 % SZS output start Proof for theBenchmark
% See solution above
% 1.67/0.49 % (3409860)------------------------------
% 1.67/0.49 % (3409860)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.67/0.49 % (3409860)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.67/0.49 % (3409860)CaDiCaL version: 2.1.3
% 1.67/0.49 % (3409860)Termination reason: Refutation
% 1.67/0.49 % (3409860)Time elapsed: 0.212 s
% 1.67/0.49 % (3409860)Peak memory usage: 14 MB
% 1.67/0.49 % (3409860)Instructions burned: 317 (million)
% 1.67/0.49 % (3409854)Success in time 0.265 s
% 1.67/0.49 % Vampire exiting
%------------------------------------------------------------------------------