%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ALG354-1 : 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 09:30:23 AM UTC 2026
% Result : Unsatisfiable 0.21s 0.29s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 10
% Syntax : Number of formulae : 32 ( 15 unt; 5 def)
% Number of atoms : 54 ( 5 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 45 ( 23 ~; 17 |; 0 &)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 9 ( 7 usr; 7 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 6 con; 0-3 aty)
% Number of variables : 3 ( 0 sgn 3 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f473,axiom,
! [X0] :
( v_thesis____
| ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(v_b,c_Power_Opower__class_Opower(X0,v_m____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_that_0) ).
fof(f475,axiom,
c_HOL_Oord__class_Oless(v_m____,v_na____,tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_0) ).
fof(f476,axiom,
v_m____ != c_HOL_Ozero__class_Ozero(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_0_01) ).
fof(f477,plain,
c_HOL_Ozero__class_Ozero(tc_nat) != v_m____,
inference(reorient_equations,[],[f476]) ).
fof(f478,axiom,
( c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(v_b,c_Power_Opower__class_Opower(v_sko__CHAINED__1(v_b,v_m____),v_m____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
| v_m____ = c_HOL_Ozero__class_Ozero(tc_nat)
| ~ c_HOL_Oord__class_Oless(v_m____,v_na____,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_0_02) ).
fof(f479,plain,
( c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(v_b,c_Power_Opower__class_Opower(v_sko__CHAINED__1(v_b,v_m____),v_m____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_HOL_Ozero__class_Ozero(tc_nat) = v_m____
| ~ c_HOL_Oord__class_Oless(v_m____,v_na____,tc_nat) ),
inference(reorient_equations,[],[f478]) ).
fof(f480,negated_conjecture,
~ v_thesis____,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f585,definition,
( spl0_1
<=> ! [X0] : ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(v_b,c_Power_Opower__class_Opower(X0,v_m____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f586,plain,
( ! [X0] : ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(v_b,c_Power_Opower__class_Opower(X0,v_m____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f585]) ).
fof(f588,definition,
( spl0_2
<=> v_thesis____ ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f592,plain,
~ spl0_2,
inference(avatar_split_clause,[],[f480,f588]) ).
fof(f594,definition,
( spl0_3
<=> c_HOL_Oord__class_Oless(v_m____,v_na____,tc_nat) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f598,definition,
( spl0_4
<=> c_HOL_Ozero__class_Ozero(tc_nat) = v_m____ ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f602,definition,
( spl0_5
<=> c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(v_b,c_Power_Opower__class_Opower(v_sko__CHAINED__1(v_b,v_m____),v_m____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f604,plain,
( c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(v_b,c_Power_Opower__class_Opower(v_sko__CHAINED__1(v_b,v_m____),v_m____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f602]) ).
fof(f605,plain,
( ~ spl0_3
| spl0_4
| spl0_5 ),
inference(avatar_split_clause,[],[f479,f602,f598,f594]) ).
fof(f606,plain,
~ spl0_4,
inference(avatar_split_clause,[],[f477,f598]) ).
fof(f607,plain,
spl0_3,
inference(avatar_split_clause,[],[f475,f594]) ).
fof(f608,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f473,f588,f585]) ).
fof(f609,plain,
( $false
| ~ spl0_1
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[],[f604,f586]) ).
fof(f610,plain,
( ~ spl0_1
| ~ spl0_5 ),
inference(avatar_contradiction_clause,[],[f609]) ).
cnf(s2,plain,
~ spl0_2,
inference(sat_conversion,[],[f592]) ).
cnf(s3,plain,
( ~ spl0_3
| spl0_4
| spl0_5 ),
inference(sat_conversion,[],[f605]) ).
cnf(s4,plain,
~ spl0_4,
inference(sat_conversion,[],[f606]) ).
cnf(s5,plain,
spl0_3,
inference(sat_conversion,[],[f607]) ).
cnf(s6,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f608]) ).
cnf(s7,plain,
( ~ spl0_1
| ~ spl0_5 ),
inference(sat_conversion,[],[f610]) ).
cnf(s8,plain,
spl0_5,
inference(rat,[],[s3,s4,s5]) ).
cnf(s9,plain,
~ spl0_1,
inference(rat,[],[s7,s8]) ).
cnf(s10,plain,
spl0_2,
inference(rat,[],[s6,s9]) ).
cnf(s11,plain,
$false,
inference(rat,[],[s2,s10]) ).
fof(f611,plain,
$false,
inference(avatar_sat_refutation,[],[s11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ALG354-1 : 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 : n009.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 20:09:45 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
% 0.08/0.23 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
% 0.21/0.29 % (3410408)Will run a generic schedule for satisfiability detection.
% 0.21/0.29 % (3410441)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2877698229:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.21/0.29 % (3410438)% WARNING: option uhcvi not known.
% 0.21/0.29 % (3410438)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2729597053:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.21/0.29 % (3410440)dis+10_1_sil=32000:sp=arity:random_seed=3208122131:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.21/0.29 % (3410439)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2232487160:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.21/0.29 % (3410436)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3635753777_2999 on theBenchmark for (2999ds/0Mi)
% 0.21/0.29 % (3410443)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2482680243:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.21/0.29 % (3410442)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3376521161:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.21/0.29 % (3410441) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3410408-3410441"...
% 0.21/0.29 % (3410441)...printing done.
% 0.21/0.29 % (3410441)Refutation found. Thanks to Tanya!
% 0.21/0.29 % SZS status Unsatisfiable for theBenchmark
% 0.21/0.29 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.29 % (3410441)------------------------------
% 0.21/0.29 % (3410441)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.29 % (3410441)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.29 % (3410441)CaDiCaL version: 2.1.3
% 0.21/0.29 % (3410441)Termination reason: Refutation
% 0.21/0.29 % (3410441)Time elapsed: 0.008 s
% 0.21/0.29 % (3410441)Peak memory usage: 12 MB
% 0.21/0.29 % (3410441)Instructions burned: 23 (million)
% 0.21/0.29 % (3410408)Success in time 0.052 s
% 0.21/0.29 % Vampire exiting
%------------------------------------------------------------------------------