%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ALG361-1 : 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 : n014.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 09:19:51 AM UTC 2026
% Result : Unsatisfiable 2.54s 0.96s
% Output : Refutation 2.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 6
% Syntax : Number of formulae : 17 ( 9 unt; 2 def)
% Number of atoms : 28 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 26 ( 15 ~; 9 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 4 prp; 0-1 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-5 aty)
% Number of variables : 3 ( 0 sgn 3 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f592,axiom,
! [X0] :
( v_thesis____
| ~ c_SEQ_Omonoseq(c_COMBB(c_Complex_ORe,c_COMBB(v_s,X0,tc_nat,tc_Complex_Ocomplex,tc_nat),tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat))
| ~ c_SEQ_Osubseq(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_that_0) ).
fof(f594,axiom,
c_SEQ_Omonoseq(c_COMBB(c_Complex_ORe,c_COMBB(v_s,v_sko__CHAINED__1(v_s),tc_nat,tc_Complex_Ocomplex,tc_nat),tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CHAINED_1) ).
fof(f595,axiom,
c_SEQ_Osubseq(v_sko__CHAINED__1(v_s)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CHAINED_0) ).
fof(f596,negated_conjecture,
~ v_thesis____,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f680,definition,
( spl0_1
<=> ! [X0] :
( ~ c_SEQ_Omonoseq(c_COMBB(c_Complex_ORe,c_COMBB(v_s,X0,tc_nat,tc_Complex_Ocomplex,tc_nat),tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat))
| ~ c_SEQ_Osubseq(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f681,plain,
( ! [X0] :
( ~ c_SEQ_Omonoseq(c_COMBB(c_Complex_ORe,c_COMBB(v_s,X0,tc_nat,tc_Complex_Ocomplex,tc_nat),tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat))
| ~ c_SEQ_Osubseq(X0) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f680]) ).
fof(f683,definition,
( spl0_2
<=> v_thesis____ ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f686,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f592,f683,f680]) ).
fof(f687,plain,
~ spl0_2,
inference(avatar_split_clause,[],[f596,f683]) ).
fof(f838,plain,
( ~ c_SEQ_Osubseq(v_sko__CHAINED__1(v_s))
| ~ spl0_1 ),
inference(resolution,[],[f681,f594]) ).
fof(f839,plain,
( $false
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f838,f595]) ).
fof(f840,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f839]) ).
cnf(s1,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f686]) ).
cnf(s2,plain,
~ spl0_2,
inference(sat_conversion,[],[f687]) ).
cnf(s5,plain,
~ spl0_1,
inference(sat_conversion,[],[f840]) ).
cnf(s6,plain,
$false,
inference(rat,[],[s1,s2,s5]) ).
fof(f841,plain,
$false,
inference(avatar_sat_refutation,[],[s6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG361-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.22 % Computer : n014.cluster.edu
% 0.08/0.22 % Model : x86_64 x86_64
% 0.08/0.22 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.22 % Memory : 8046.5625MB
% 0.08/0.22 % OS : Linux 6.8.0-71-generic
% 0.08/0.22 % CPULimit : 300
% 0.08/0.22 % WCLimit : 300
% 0.08/0.22 % DateTime : Mon Sep 28 20:10:15 UTC 2026
% 0.08/0.23 % CPUTime :
% 0.08/0.23 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.25/0.29 Running first-order theorem proving
% 0.25/0.29 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
% 2.54/0.96 % (2126022)Input is clausal, will run a generic CNF schedule.
% 2.54/0.96 % (2126030)lrs+10_1_sil=8000:sp=occurrence:random_seed=3110946926:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.54/0.96 % (2126030)First to succeed.
% 2.54/0.96 % (2126030)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2126022"
% 2.54/0.96 % (2126033)dis-21_1_sil=8000:lcm=predicate:random_seed=2967161830: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)
% 2.54/0.96 % (2126027)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=2898139768:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.54/0.96 % (2126029)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3768817802:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.54/0.96 % (2126028)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1091172163:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.54/0.96 % (2126032)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2544760078:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.54/0.96 % (2126031)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=4230061117:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.54/0.96 % (2126032)Also succeeded, but the first one will report.
% 2.54/0.96 % (2126033)Also succeeded, but the first one will report.
% 2.54/0.96 % (2126031)Also succeeded, but the first one will report.
% 2.54/0.96 % (2126030)Refutation found. Thanks to Tanya!
% 2.54/0.96 % SZS status Unsatisfiable for theBenchmark
% 2.54/0.96 % SZS output start Proof for theBenchmark
% See solution above
% 2.54/0.96 % (2126030)------------------------------
% 2.54/0.96 % (2126030)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.54/0.96 % (2126030)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.54/0.96 % (2126030)CaDiCaL version: 2.1.3
% 2.54/0.96 % (2126030)Termination reason: Refutation
% 2.54/0.96 % (2126030)Time elapsed: 0.006 s
% 2.54/0.96 % (2126030)Peak memory usage: 90 MB
% 2.54/0.96 % (2126030)Instructions burned: 11 (million)
% 2.54/0.96 % (2126030)------------------------------
% 2.54/0.96 % (2126030)------------------------------
% 2.54/0.96 % (2126022)Success in time 0.319 s
% 2.54/0.96 % Vampire exiting
%------------------------------------------------------------------------------