%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ALG341-1 : 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 : n016.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 0.19s 0.31s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 8
% Syntax : Number of formulae : 29 ( 14 unt; 2 def)
% Number of atoms : 48 ( 5 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 40 ( 21 ~; 17 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 3 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 15 ( 0 sgn 15 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f615,axiom,
! [X0,X1] :
( c_lessequals(X0,X1,tc_RealDef_Oreal)
| c_lessequals(X1,X0,tc_RealDef_Oreal) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_real__le__linear_0) ).
fof(f620,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/sandbox/benchmark/theBenchmark.p',cls_real__le__trans_0) ).
fof(f626,axiom,
! [X0,X1] :
( X0 = X1
| ~ c_lessequals(X1,X0,tc_RealDef_Oreal)
| ~ c_lessequals(X0,X1,tc_RealDef_Oreal) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_real__le__antisym_0) ).
fof(f627,axiom,
c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(v_z____,tc_Complex_Ocomplex),tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CHAINED_0) ).
fof(f628,axiom,
c_lessequals(c_RealVector_Onorm__class_Onorm(v_z____,tc_Complex_Ocomplex),v_r,tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CHAINED_0_01) ).
fof(f629,negated_conjecture,
~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_r,tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f1086,plain,
! [X0,X1] :
( ~ c_lessequals(X0,X1,tc_RealDef_Oreal)
| ~ c_lessequals(X1,X0,tc_RealDef_Oreal) ),
inference(consistent_polarity_flipping,[],[f615]) ).
fof(f1091,plain,
! [X2,X0,X1] :
( c_lessequals(X2,X1,tc_RealDef_Oreal)
| ~ c_lessequals(X0,X1,tc_RealDef_Oreal)
| c_lessequals(X0,X2,tc_RealDef_Oreal) ),
inference(consistent_polarity_flipping,[],[f620]) ).
fof(f1097,plain,
! [X0,X1] :
( c_lessequals(X1,X0,tc_RealDef_Oreal)
| X0 = X1
| c_lessequals(X0,X1,tc_RealDef_Oreal) ),
inference(consistent_polarity_flipping,[],[f626]) ).
fof(f1098,plain,
~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(v_z____,tc_Complex_Ocomplex),tc_RealDef_Oreal),
inference(consistent_polarity_flipping,[],[f627]) ).
fof(f1099,plain,
~ c_lessequals(c_RealVector_Onorm__class_Onorm(v_z____,tc_Complex_Ocomplex),v_r,tc_RealDef_Oreal),
inference(consistent_polarity_flipping,[],[f628]) ).
fof(f1100,plain,
c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_r,tc_RealDef_Oreal),
inference(consistent_polarity_flipping,[],[f629]) ).
fof(f1161,plain,
~ c_lessequals(v_r,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(resolution,[],[f1086,f1100]) ).
fof(f1646,plain,
( c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) = c_RealVector_Onorm__class_Onorm(v_z____,tc_Complex_Ocomplex)
| c_lessequals(c_RealVector_Onorm__class_Onorm(v_z____,tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(resolution,[],[f1097,f1098]) ).
fof(f1765,definition,
( spl0_25
<=> c_lessequals(c_RealVector_Onorm__class_Onorm(v_z____,tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).
fof(f1769,definition,
( spl0_26
<=> c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) = c_RealVector_Onorm__class_Onorm(v_z____,tc_Complex_Ocomplex) ),
introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).
fof(f1771,plain,
( c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) = c_RealVector_Onorm__class_Onorm(v_z____,tc_Complex_Ocomplex)
| ~ spl0_26 ),
inference(avatar_component_clause,[],[f1769]) ).
fof(f1772,plain,
( spl0_25
| spl0_26 ),
inference(avatar_split_clause,[],[f1646,f1769,f1765]) ).
fof(f1861,plain,
( ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_r,tc_RealDef_Oreal)
| ~ spl0_26 ),
inference(superposition,[],[f1099,f1771]) ).
fof(f1869,plain,
( $false
| ~ spl0_26 ),
inference(resolution,[],[f1861,f1100]) ).
fof(f1871,plain,
~ spl0_26,
inference(avatar_contradiction_clause,[],[f1869]) ).
fof(f3804,plain,
! [X0] :
( c_lessequals(X0,v_r,tc_RealDef_Oreal)
| ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(resolution,[],[f1091,f1161]) ).
fof(f3848,plain,
~ c_lessequals(c_RealVector_Onorm__class_Onorm(v_z____,tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(resolution,[],[f3804,f1099]) ).
fof(f3859,plain,
~ spl0_25,
inference(avatar_split_clause,[],[f3848,f1765]) ).
cnf(s15,plain,
( spl0_25
| spl0_26 ),
inference(sat_conversion,[],[f1772]) ).
cnf(s32,plain,
~ spl0_26,
inference(sat_conversion,[],[f1871]) ).
cnf(s220,plain,
~ spl0_25,
inference(sat_conversion,[],[f3859]) ).
cnf(s309,plain,
$false,
inference(rat,[],[s15,s32,s220]) ).
fof(f3861,plain,
$false,
inference(avatar_sat_refutation,[],[s309]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ALG341-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.19 % Computer : n016.cluster.edu
% 0.07/0.19 % Model : x86_64 x86_64
% 0.07/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.19 % Memory : 8046.5625MB
% 0.07/0.19 % OS : Linux 6.8.0-71-generic
% 0.07/0.20 % CPULimit : 300
% 0.07/0.20 % WCLimit : 300
% 0.07/0.20 % DateTime : Mon Sep 28 20:14:04 UTC 2026
% 0.07/0.20 % CPUTime :
% 0.07/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.23 Running first-order model finding
% 0.07/0.23 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
% 0.19/0.31 % (3947162)Will run a generic schedule for satisfiability detection.
% 0.19/0.31 % (3947173)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2280232158:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.19/0.31 % (3947168)% WARNING: option uhcvi not known.
% 0.19/0.31 % (3947167)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2353927487_2999 on theBenchmark for (2999ds/0Mi)
% 0.19/0.31 % (3947170)dis+10_1_sil=32000:sp=arity:random_seed=1684647431:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.19/0.31 % (3947168)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2688644442:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.19/0.31 % (3947169)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=286378748:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.19/0.31 % (3947171)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3414623823:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.19/0.31 % (3947172)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=161793180:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.19/0.31 % (3947173) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3947162-3947173"...
% 0.19/0.31 % (3947173)...printing done.
% 0.19/0.31 % (3947173)Refutation found. Thanks to Tanya!
% 0.19/0.31 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.31 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.31 % (3947173)------------------------------
% 0.19/0.31 % (3947173)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.31 % (3947173)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.31 % (3947173)CaDiCaL version: 2.1.3
% 0.19/0.31 % (3947173)Termination reason: Refutation
% 0.19/0.31 % (3947173)Time elapsed: 0.041 s
% 0.19/0.31 % (3947173)Peak memory usage: 14 MB
% 0.19/0.31 % (3947173)Instructions burned: 110 (million)
% 0.19/0.31 % (3947162)Success in time 0.078 s
% 0.19/0.31 % Vampire exiting
%------------------------------------------------------------------------------