%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ALG424-1 : 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 : n017.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 09:30:31 AM UTC 2026
% Result : Unsatisfiable 1.42s 0.52s
% Output : Refutation 1.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 8
% Syntax : Number of formulae : 29 ( 13 unt; 2 def)
% Number of atoms : 57 ( 25 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 55 ( 27 ~; 26 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 3 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 6 con; 0-3 aty)
% Number of variables : 9 ( 0 sgn 9 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1114,axiom,
v_pa____ != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_pne_0) ).
fof(f1139,axiom,
! [X2,X0,X1] :
( ~ class_Ring__and__Field_Oidom(X0)
| c_Polynomial_Oorder(X1,X2,X0) != c_HOL_Ozero__class_Ozero(tc_nat)
| X2 = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
| c_Polynomial_Opoly(X2,X1,X0) != c_HOL_Ozero__class_Ozero(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_0_01) ).
fof(f1140,plain,
! [X2,X0,X1] :
( ~ class_Ring__and__Field_Oidom(X0)
| c_HOL_Ozero__class_Ozero(tc_nat) != c_Polynomial_Oorder(X1,X2,X0)
| c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) = X2
| c_HOL_Ozero__class_Ozero(X0) != c_Polynomial_Opoly(X2,X1,X0) ),
inference(reorient_equations,[],[f1139]) ).
fof(f1141,axiom,
c_Polynomial_Opoly(v_pa____,v_a____,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_0_02) ).
fof(f1142,plain,
c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_Polynomial_Opoly(v_pa____,v_a____,tc_Complex_Ocomplex),
inference(reorient_equations,[],[f1141]) ).
fof(f1143,axiom,
( c_Ring__and__Field_Odvd__class_Odvd(v_pa____,c_Power_Opower__class_Opower(v_qa____,v_na____,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| c_Polynomial_Oorder(v_a____,v_pa____,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_0_03) ).
fof(f1144,plain,
( c_Ring__and__Field_Odvd__class_Odvd(v_pa____,c_Power_Opower__class_Opower(v_qa____,v_na____,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| c_HOL_Ozero__class_Ozero(tc_nat) = c_Polynomial_Oorder(v_a____,v_pa____,tc_Complex_Ocomplex) ),
inference(reorient_equations,[],[f1143]) ).
fof(f1145,negated_conjecture,
~ c_Ring__and__Field_Odvd__class_Odvd(v_pa____,c_Power_Opower__class_Opower(v_qa____,v_na____,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f1214,axiom,
class_Ring__and__Field_Oidom(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__Ring__and__Field_Oidom) ).
fof(f1797,plain,
! [X2,X0,X1] :
( c_HOL_Ozero__class_Ozero(tc_nat) != c_Polynomial_Oorder(X1,X2,X0)
| class_Ring__and__Field_Oidom(X0)
| c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) = X2
| c_HOL_Ozero__class_Ozero(X0) != c_Polynomial_Opoly(X2,X1,X0) ),
inference(consistent_polarity_flipping,[],[f1140]) ).
fof(f1798,plain,
( ~ c_Ring__and__Field_Odvd__class_Odvd(v_pa____,c_Power_Opower__class_Opower(v_qa____,v_na____,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| c_HOL_Ozero__class_Ozero(tc_nat) = c_Polynomial_Oorder(v_a____,v_pa____,tc_Complex_Ocomplex) ),
inference(consistent_polarity_flipping,[],[f1144]) ).
fof(f1799,plain,
c_Ring__and__Field_Odvd__class_Odvd(v_pa____,c_Power_Opower__class_Opower(v_qa____,v_na____,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(consistent_polarity_flipping,[],[f1145]) ).
fof(f1826,plain,
~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex),
inference(consistent_polarity_flipping,[],[f1214]) ).
fof(f1876,definition,
( spl0_1
<=> c_HOL_Ozero__class_Ozero(tc_nat) = c_Polynomial_Oorder(v_a____,v_pa____,tc_Complex_Ocomplex) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f1878,plain,
( c_HOL_Ozero__class_Ozero(tc_nat) = c_Polynomial_Oorder(v_a____,v_pa____,tc_Complex_Ocomplex)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f1876]) ).
fof(f1880,definition,
( spl0_2
<=> c_Ring__and__Field_Odvd__class_Odvd(v_pa____,c_Power_Opower__class_Opower(v_qa____,v_na____,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f1883,plain,
( spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f1798,f1880,f1876]) ).
fof(f1884,plain,
spl0_2,
inference(avatar_split_clause,[],[f1799,f1880]) ).
fof(f9629,plain,
( c_HOL_Ozero__class_Ozero(tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
| class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| v_pa____ = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) != c_Polynomial_Opoly(v_pa____,v_a____,tc_Complex_Ocomplex)
| ~ spl0_1 ),
inference(superposition,[],[f1797,f1878]) ).
fof(f9630,plain,
( class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| v_pa____ = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) != c_Polynomial_Opoly(v_pa____,v_a____,tc_Complex_Ocomplex)
| ~ spl0_1 ),
inference(trivial_inequality_removal,[],[f9629]) ).
fof(f9631,plain,
( v_pa____ = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) != c_Polynomial_Opoly(v_pa____,v_a____,tc_Complex_Ocomplex)
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f9630,f1826]) ).
fof(f9632,plain,
( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) != c_Polynomial_Opoly(v_pa____,v_a____,tc_Complex_Ocomplex)
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f9631,f1114]) ).
fof(f9633,plain,
( $false
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f9632,f1142]) ).
fof(f9634,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f9633]) ).
cnf(s1,plain,
( spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f1883]) ).
cnf(s2,plain,
spl0_2,
inference(sat_conversion,[],[f1884]) ).
cnf(s374,plain,
~ spl0_1,
inference(sat_conversion,[],[f9634]) ).
cnf(s397,plain,
$false,
inference(rat,[],[s1,s2,s374]) ).
fof(f9635,plain,
$false,
inference(avatar_sat_refutation,[],[s397]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ALG424-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.19 % Computer : n017.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Mon Sep 28 20:16:21 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.22 Running first-order model finding
% 0.08/0.22 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
% 1.42/0.52 % (3965038)Will run a generic schedule for satisfiability detection.
% 1.42/0.52 % (3965043)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2290047433_2999 on theBenchmark for (2999ds/0Mi)
% 1.42/0.52 % (3965044)% WARNING: option uhcvi not known.
% 1.42/0.52 % (3965044)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3577117077:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 1.42/0.52 % (3965046)dis+10_1_sil=32000:sp=arity:random_seed=3153037977:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 1.42/0.52 % (3965047)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=207575345:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 1.42/0.52 % (3965045)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=4065746511:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 1.42/0.52 % (3965048)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2996813683:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 1.42/0.52 % (3965049)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=4149421374:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 1.42/0.52 % TRYING [1]
% 1.42/0.52 % TRYING [2]
% 1.42/0.52 % TRYING [3]
% 1.42/0.52 % (3965046)Instruction limit reached!
% 1.42/0.52 % (3965046)------------------------------
% 1.42/0.52 % (3965046)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.42/0.52 % (3965046)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.42/0.52 % (3965046)CaDiCaL version: 2.1.3
% 1.42/0.52 % (3965046)Termination reason: Instruction limit
% 1.42/0.52 % (3965046)Termination phase: Saturation
% 1.42/0.52 % (3965046)Time elapsed: 0.071 s
% 1.42/0.52 % (3965046)Peak memory usage: 13 MB
% 1.42/0.52 % (3965046)Instructions burned: 104 (million)
% 1.42/0.52 % (3965047)Instruction limit reached!
% 1.42/0.52 % (3965047)------------------------------
% 1.42/0.52 % (3965047)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.42/0.52 % (3965047)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.42/0.52 % (3965047)CaDiCaL version: 2.1.3
% 1.42/0.52 % (3965047)Termination reason: Instruction limit
% 1.42/0.52 % (3965047)Termination phase: Saturation
% 1.42/0.52 % (3965047)Time elapsed: 0.074 s
% 1.42/0.52 % (3965047)Peak memory usage: 14 MB
% 1.42/0.52 % (3965047)Instructions burned: 117 (million)
% 1.42/0.52 % (3965048)Instruction limit reached!
% 1.42/0.52 % (3965048)------------------------------
% 1.42/0.52 % (3965048)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.42/0.52 % (3965048)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.42/0.52 % (3965048)CaDiCaL version: 2.1.3
% 1.42/0.52 % (3965048)Termination reason: Instruction limit
% 1.42/0.52 % (3965048)Termination phase: Saturation
% 1.42/0.52 % (3965048)Time elapsed: 0.082 s
% 1.42/0.52 % (3965048)Peak memory usage: 14 MB
% 1.42/0.52 % (3965048)Instructions burned: 132 (million)
% 1.42/0.52 % (3965057)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1422845908:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 1.42/0.52 % (3965058)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3915715251:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 1.42/0.52 % (3965059)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=1494404154:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 1.42/0.52 % (3965049)Instruction limit reached!
% 1.42/0.52 % (3965049)------------------------------
% 1.42/0.52 % (3965049)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.42/0.52 % (3965049)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.42/0.52 % (3965049)CaDiCaL version: 2.1.3
% 1.42/0.52 % (3965049)Termination reason: Instruction limit
% 1.42/0.52 % (3965049)Termination phase: Saturation
% 1.42/0.52 % (3965049)Time elapsed: 0.102 s
% 1.42/0.52 % (3965049)Peak memory usage: 14 MB
% 1.42/0.52 % (3965049)Instructions burned: 159 (million)
% 1.42/0.52 % (3965063)ott-21_1_sil=16000:fs=off:random_seed=2373140596:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 1.42/0.52 % (3965058)Instruction limit reached!
% 1.42/0.52 % (3965058)------------------------------
% 1.42/0.52 % (3965058)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.42/0.52 % (3965058)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.42/0.52 % (3965058)CaDiCaL version: 2.1.3
% 1.42/0.52 % (3965058)Termination reason: Instruction limit
% 1.42/0.52 % (3965058)Termination phase: Saturation
% 1.42/0.52 % (3965058)Time elapsed: 0.077 s
% 1.42/0.52 % (3965058)Peak memory usage: 13 MB
% 1.42/0.52 % (3965058)Instructions burned: 132 (million)
% 1.42/0.52 % TRYING [1]
% 1.42/0.52 % TRYING [2]
% 1.42/0.52 % (3965065)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1873162672:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 1.42/0.52 % (3965044) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3965038-3965044"...
% 1.42/0.52 % (3965044)...printing done.
% 1.42/0.52 % (3965044)Refutation found. Thanks to Tanya!
% 1.42/0.52 % SZS status Unsatisfiable for theBenchmark
% 1.42/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 1.42/0.52 % (3965044)------------------------------
% 1.42/0.52 % (3965044)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.42/0.52 % (3965044)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.42/0.52 % (3965044)CaDiCaL version: 2.1.3
% 1.42/0.52 % (3965044)Termination reason: Refutation
% 1.42/0.52 % (3965044)Time elapsed: 0.201 s
% 1.42/0.52 % (3965044)Peak memory usage: 17 MB
% 1.42/0.52 % (3965044)Instructions burned: 290 (million)
% 1.42/0.52 % (3965038)Success in time 0.28 s
% 1.42/0.52 % Vampire exiting
%------------------------------------------------------------------------------