%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ALG365-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n007.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 09:19:52 AM UTC 2026
% Result : Unsatisfiable 3.79s 1.31s
% Output : Refutation 3.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 5
% Syntax : Number of formulae : 15 ( 8 unt; 2 def)
% Number of atoms : 22 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 17 ( 10 ~; 5 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 4 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-5 aty)
% Number of variables : 3 ( 0 sgn 3 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f469,axiom,
c_SEQ_OLIMSEQ(c_COMBB(c_Complex_OIm,c_COMBB(v_s,c_COMBB(v_f____,v_ga____,tc_nat,tc_nat,tc_nat),tc_nat,tc_Complex_Ocomplex,tc_nat),tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),v_sko__CHAINED__1(v_f____,v_ga____,v_s),tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CHAINED_0) ).
fof(f470,negated_conjecture,
~ v_thesis____,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f471,negated_conjecture,
! [X0] :
( v_thesis____
| ~ c_SEQ_OLIMSEQ(c_COMBB(c_Complex_OIm,c_COMBB(v_s,c_COMBB(v_f____,v_ga____,tc_nat,tc_nat,tc_nat),tc_nat,tc_Complex_Ocomplex,tc_nat),tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),X0,tc_RealDef_Oreal) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f563,definition,
( spl0_1
<=> ! [X0] : ~ c_SEQ_OLIMSEQ(c_COMBB(c_Complex_OIm,c_COMBB(v_s,c_COMBB(v_f____,v_ga____,tc_nat,tc_nat,tc_nat),tc_nat,tc_Complex_Ocomplex,tc_nat),tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),X0,tc_RealDef_Oreal) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f564,plain,
( ! [X0] : ~ c_SEQ_OLIMSEQ(c_COMBB(c_Complex_OIm,c_COMBB(v_s,c_COMBB(v_f____,v_ga____,tc_nat,tc_nat,tc_nat),tc_nat,tc_Complex_Ocomplex,tc_nat),tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),X0,tc_RealDef_Oreal)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f563]) ).
fof(f566,definition,
( spl0_2
<=> v_thesis____ ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f570,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f471,f566,f563]) ).
fof(f571,plain,
~ spl0_2,
inference(avatar_split_clause,[],[f470,f566]) ).
fof(f763,plain,
( $false
| ~ spl0_1 ),
inference(resolution,[],[f469,f564]) ).
fof(f769,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f763]) ).
cnf(s2,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f570]) ).
cnf(s3,plain,
~ spl0_2,
inference(sat_conversion,[],[f571]) ).
cnf(s5,plain,
~ spl0_1,
inference(sat_conversion,[],[f769]) ).
cnf(s6,plain,
$false,
inference(rat,[],[s2,s3,s5]) ).
fof(f772,plain,
$false,
inference(avatar_sat_refutation,[],[s6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG365-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n007.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Mon Sep 28 20:07:25 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.21 Running first-order theorem proving
% 0.09/0.21 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.79/1.31 % (2754989)Input is clausal, will run a generic CNF schedule.
% 3.79/1.31 % (2754994)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=2900331647:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.79/1.31 % (2754997)lrs+10_1_sil=8000:sp=occurrence:random_seed=2845050110:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.79/1.31 % (2754996)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3892589367:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.79/1.31 % (2754998)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=598295379:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.79/1.31 % (2754999)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3100005527:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.79/1.31 % (2755000)dis-21_1_sil=8000:lcm=predicate:random_seed=51666018:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 3.79/1.31 % (2754995)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3444950784:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.79/1.31 % (2754997)First to succeed.
% 3.79/1.31 % (2754997)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2754989"
% 3.79/1.31 % (2754999)Also succeeded, but the first one will report.
% 3.79/1.31 % (2755000)Instruction limit reached!
% 3.79/1.31 % (2755000)------------------------------
% 3.79/1.31 % (2755000)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.79/1.31 % (2755000)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.79/1.31 % (2755000)CaDiCaL version: 2.1.3
% 3.79/1.31 % (2755000)Termination reason: Instruction limit
% 3.79/1.31 % (2755000)Termination phase: Saturation
% 3.79/1.31 % (2755000)Time elapsed: 0.070 s
% 3.79/1.31 % (2755000)Peak memory usage: 90 MB
% 3.79/1.31 % (2755000)Instructions burned: 118 (million)
% 3.79/1.31 % (2754998)Instruction limit reached!
% 3.79/1.31 % (2754998)------------------------------
% 3.79/1.31 % (2754998)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.79/1.31 % (2754998)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.79/1.31 % (2754998)CaDiCaL version: 2.1.3
% 3.79/1.31 % (2754998)Termination reason: Instruction limit
% 3.79/1.31 % (2754998)Termination phase: Saturation
% 3.79/1.31 % (2754998)Time elapsed: 0.071 s
% 3.79/1.31 % (2754998)Peak memory usage: 88 MB
% 3.79/1.31 % (2754998)Instructions burned: 114 (million)
% 3.79/1.31 % (2755008)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=1764964450:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 3.79/1.31 % (2755009)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2535156966:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 3.79/1.31 % (2755008)Refutation not found, incomplete strategy
% 3.79/1.31 % (2755008)------------------------------
% 3.79/1.31 % (2755008)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.79/1.31 % (2755008)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.79/1.31 % (2755008)CaDiCaL version: 2.1.3
% 3.79/1.31 % (2755008)Termination reason: Refutation not found, incomplete strategy
% 3.79/1.31 % (2755008)Time elapsed: 0.005 s
% 3.79/1.31 % (2755008)Peak memory usage: 88 MB
% 3.79/1.31 % (2755008)Instructions burned: 6 (million)
% 3.79/1.31 % (2755009)Also succeeded, but the first one will report.
% 3.79/1.31 % (2754997)Refutation found. Thanks to Tanya!
% 3.79/1.31 % SZS status Unsatisfiable for theBenchmark
% 3.79/1.31 % SZS output start Proof for theBenchmark
% See solution above
% 3.79/1.31 % (2754997)------------------------------
% 3.79/1.31 % (2754997)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.79/1.31 % (2754997)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.79/1.31 % (2754997)CaDiCaL version: 2.1.3
% 3.79/1.31 % (2754997)Termination reason: Refutation
% 3.79/1.31 % (2754997)Time elapsed: 0.013 s
% 3.79/1.31 % (2754997)Peak memory usage: 89 MB
% 3.79/1.31 % (2754997)Instructions burned: 17 (million)
% 3.79/1.31 % (2754997)------------------------------
% 3.79/1.31 % (2754997)------------------------------
% 3.79/1.31 % (2754989)Success in time 0.46 s
% 3.79/1.31 % Vampire exiting
%------------------------------------------------------------------------------