%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ALG395-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n026.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 09:30:28 AM UTC 2026
% Result : Unsatisfiable 0.74s 0.42s
% Output : Refutation 0.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 5
% Syntax : Number of formulae : 18 ( 10 unt; 2 def)
% Number of atoms : 26 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 18 ( 10 ~; 6 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 5 ( 4 usr; 4 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-3 aty)
% Number of variables : 8 ( 0 sgn 8 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f900,axiom,
! [X0,X1] : c_lessequals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(X0,v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__minimum__modulus__1(X0),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_poly__minimum__modulus_0) ).
fof(f915,negated_conjecture,
~ v_thesis____,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f916,negated_conjecture,
! [X0] :
( v_thesis____
| ~ c_lessequals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_pa____,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_pa____,hAPP(v_x,X0),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f1562,plain,
! [X0,X1] : ~ c_lessequals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(X0,v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__minimum__modulus__1(X0),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal),
inference(consistent_polarity_flipping,[],[f900]) ).
fof(f1577,plain,
v_thesis____,
inference(consistent_polarity_flipping,[],[f915]) ).
fof(f1578,plain,
! [X0] :
( ~ v_thesis____
| c_lessequals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_pa____,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_pa____,hAPP(v_x,X0),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal) ),
inference(consistent_polarity_flipping,[],[f916]) ).
fof(f1665,definition,
( spl0_1
<=> ! [X0] : c_lessequals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_pa____,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_pa____,hAPP(v_x,X0),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f1666,plain,
( ! [X0] : c_lessequals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_pa____,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_pa____,hAPP(v_x,X0),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f1665]) ).
fof(f1668,definition,
( spl0_2
<=> v_thesis____ ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f1671,plain,
( spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f1578,f1668,f1665]) ).
fof(f1672,plain,
spl0_2,
inference(avatar_split_clause,[],[f1577,f1668]) ).
fof(f5848,plain,
( $false
| ~ spl0_1 ),
inference(resolution,[],[f1562,f1666]) ).
fof(f5858,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f5848]) ).
cnf(s1,plain,
( spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f1671]) ).
cnf(s2,plain,
spl0_2,
inference(sat_conversion,[],[f1672]) ).
cnf(s18,plain,
~ spl0_1,
inference(sat_conversion,[],[f5858]) ).
cnf(s20,plain,
$false,
inference(rat,[],[s1,s2,s18]) ).
fof(f5865,plain,
$false,
inference(avatar_sat_refutation,[],[s20]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG395-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.20 % Computer : n026.cluster.edu
% 0.09/0.20 % Model : x86_64 x86_64
% 0.09/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.20 % Memory : 8046.5625MB
% 0.09/0.20 % OS : Linux 6.8.0-71-generic
% 0.09/0.20 % CPULimit : 300
% 0.09/0.20 % WCLimit : 300
% 0.09/0.20 % DateTime : Mon Sep 28 20:19:30 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.23 Running first-order model finding
% 0.09/0.23 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.74/0.42 % (7523)Will run a generic schedule for satisfiability detection.
% 0.74/0.42 % (7534)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2704712552:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.74/0.42 % (7529)% WARNING: option uhcvi not known.
% 0.74/0.42 % (7528)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=4005071254_2999 on theBenchmark for (2999ds/0Mi)
% 0.74/0.42 % (7531)dis+10_1_sil=32000:sp=arity:random_seed=1625322143:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.74/0.42 % (7532)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2349409020:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.74/0.42 % (7529)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=167250316:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.74/0.42 % (7530)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=836641779:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.74/0.42 % (7533)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2999459179:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.74/0.42 % (7534)Instruction limit reached!
% 0.74/0.42 % (7534)------------------------------
% 0.74/0.42 % (7534)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.74/0.42 % (7534)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.74/0.42 % (7534)CaDiCaL version: 2.1.3
% 0.74/0.42 % (7534)Termination reason: Instruction limit
% 0.74/0.42 % (7534)Termination phase: Saturation
% 0.74/0.42 % (7534)Time elapsed: 0.059 s
% 0.74/0.42 % (7534)Peak memory usage: 14 MB
% 0.74/0.42 % (7534)Instructions burned: 167 (million)
% 0.74/0.42 % (7542)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2878454476:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.74/0.42 % (7531)Instruction limit reached!
% 0.74/0.42 % (7531)------------------------------
% 0.74/0.42 % (7531)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.74/0.42 % (7531)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.74/0.42 % (7531)CaDiCaL version: 2.1.3
% 0.74/0.42 % (7531)Termination reason: Instruction limit
% 0.74/0.42 % (7531)Termination phase: Saturation
% 0.74/0.42 % (7531)Time elapsed: 0.064 s
% 0.74/0.42 % (7531)Peak memory usage: 13 MB
% 0.74/0.42 % (7531)Instructions burned: 103 (million)
% 0.74/0.42 % (7532)Instruction limit reached!
% 0.74/0.42 % (7532)------------------------------
% 0.74/0.42 % (7532)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.74/0.42 % (7532)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.74/0.42 % (7532)CaDiCaL version: 2.1.3
% 0.74/0.42 % (7532)Termination reason: Instruction limit
% 0.74/0.42 % (7532)Termination phase: Saturation
% 0.74/0.42 % (7532)Time elapsed: 0.075 s
% 0.74/0.42 % (7532)Peak memory usage: 13 MB
% 0.74/0.42 % (7532)Instructions burned: 116 (million)
% 0.74/0.42 % TRYING [1]
% 0.74/0.42 % (7544)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1192612993:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 0.74/0.42 % (7533)Instruction limit reached!
% 0.74/0.42 % (7533)------------------------------
% 0.74/0.42 % (7533)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.74/0.42 % (7533)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.74/0.42 % (7533)CaDiCaL version: 2.1.3
% 0.74/0.42 % (7533)Termination reason: Instruction limit
% 0.74/0.42 % (7533)Termination phase: Saturation
% 0.74/0.42 % (7533)Time elapsed: 0.084 s
% 0.74/0.42 % (7533)Peak memory usage: 14 MB
% 0.74/0.42 % (7533)Instructions burned: 132 (million)
% 0.74/0.42 % TRYING [2]
% 0.74/0.42 % (7545)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=2695127685:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 0.74/0.42 % (7547)ott-21_1_sil=16000:fs=off:random_seed=2434895407:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 0.74/0.42 % TRYING [1]
% 0.74/0.42 % TRYING [2]
% 0.74/0.42 % (7529) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-7523-7529"...
% 0.74/0.42 % (7529)...printing done.
% 0.74/0.42 % (7529)Refutation found. Thanks to Tanya!
% 0.74/0.42 % SZS status Unsatisfiable for theBenchmark
% 0.74/0.42 % SZS output start Proof for theBenchmark
% See solution above
% 0.74/0.42 % (7529)------------------------------
% 0.74/0.42 % (7529)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.74/0.42 % (7529)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.74/0.42 % (7529)CaDiCaL version: 2.1.3
% 0.74/0.42 % (7529)Termination reason: Refutation
% 0.74/0.42 % (7529)Time elapsed: 0.126 s
% 0.74/0.42 % (7529)Peak memory usage: 15 MB
% 0.74/0.42 % (7529)Instructions burned: 194 (million)
% 0.74/0.42 % (7523)Success in time 0.175 s
% 0.74/0.42 % Vampire exiting
%------------------------------------------------------------------------------