%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYO366_8 : TPTP v9.3.1. Released v8.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n011.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 02:26:04 PM UTC 2026
% Result : Theorem 3.67s 1.29s
% Output : Refutation 3.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 4
% Syntax : Number of formulae : 26 ( 7 unt; 0 typ; 3 def)
% Number of atoms : 88 ( 10 equ)
% Maximal formula atoms : 6 ( 3 avg)
% Number of connectives : 51 ( 20 ~; 16 |; 5 &)
% ( 4 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of FOOLs : 31 ( 31 fml; 0 var)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 8 ( 5 usr; 6 prp; 0-2 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_2,type,
bG0: $o ).
tff(pred_def_1,type,
cP: $o > $o ).
tff(f1,conjecture,
( cP(( cA
=> cA ))
=> cP($true) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTRIVEXT4) ).
tff(f2,negated_conjecture,
~ ( cP(( cA
=> cA ))
=> cP($true) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
tff(f3,definition,
( ( cA
=> cA )
<=> ( $true = bG0 ) ),
introduced(definition,[new_symbols(definition,[bG0])],[fool_formula_definition]) ).
tff(f4,plain,
~ ( cP(bG0)
=> cP($true) ),
inference(fool_elimination,[],[f2,f3]) ).
tff(f5,plain,
( ( cA
| ~ cA )
<=> ( $true = bG0 ) ),
inference(ennf_transformation,[],[f3]) ).
tff(f6,plain,
( ~ cP($true)
& cP(bG0) ),
inference(ennf_transformation,[],[f4]) ).
tff(f7,plain,
( ( cA
| ~ cA
| ( $true != bG0 ) )
& ( ( $true = bG0 )
| ( ~ cA
& cA ) ) ),
inference(nnf_transformation,[],[f5]) ).
tff(f8,plain,
( ( cA
| ~ cA
| ( $true != bG0 ) )
& ( ( $true = bG0 )
| ( ~ cA
& cA ) ) ),
inference(flattening,[],[f7]) ).
tff(f9,plain,
( ( $true = bG0 )
| cA ),
inference(cnf_transformation,[],[f8]) ).
tff(f10,plain,
( ( $true = bG0 )
| ~ cA ),
inference(cnf_transformation,[],[f8]) ).
tff(f12,plain,
cP(bG0),
inference(cnf_transformation,[],[f6]) ).
tff(f13,plain,
~ cP($true),
inference(cnf_transformation,[],[f6]) ).
tff(f17,definition,
( spl1_1
<=> cA ),
introduced(definition,[new_symbols(definition,[spl1_1])],[avatar_definition]) ).
tff(f21,definition,
( spl1_2
<=> ( $true = bG0 ) ),
introduced(definition,[new_symbols(definition,[spl1_2])],[avatar_definition]) ).
tff(f23,plain,
( ( $true = bG0 )
| ~ spl1_2 ),
inference(avatar_component_clause,[],[f21]) ).
tff(f24,plain,
( spl1_1
| spl1_2 ),
inference(avatar_split_clause,[],[f9,f21,f17]) ).
tff(f25,plain,
( ~ spl1_1
| spl1_2 ),
inference(avatar_split_clause,[],[f10,f21,f17]) ).
tff(f26,plain,
( cP($true)
| ~ spl1_2 ),
inference(superposition,[],[f12,f23]) ).
tff(f27,plain,
( $false
| ~ spl1_2 ),
inference(forward_subsumption_resolution,[],[f26,f13]) ).
tff(f28,plain,
~ spl1_2,
inference(avatar_contradiction_clause,[],[f27]) ).
cnf(s1,plain,
( spl1_1
| spl1_2 ),
inference(sat_conversion,[],[f24]) ).
cnf(s2,plain,
( ~ spl1_1
| spl1_2 ),
inference(sat_conversion,[],[f25]) ).
cnf(s3,plain,
~ spl1_2,
inference(sat_conversion,[],[f28]) ).
cnf(s4,plain,
~ spl1_1,
inference(rat,[],[s2,s3]) ).
cnf(s5,plain,
$false,
inference(rat,[],[s1,s3,s4]) ).
tff(f29,plain,
$false,
inference(avatar_sat_refutation,[],[s5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO366_8 : TPTP v9.3.1. Released v8.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.18 % Computer : n011.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Mon Sep 28 17:36:30 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.22 Running first-order theorem proving
% 0.08/0.22 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.67/1.29 % (3574347)Detected formulas, will run a generic FOF schedule.
% 3.67/1.29 % (3574355)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3210232701:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.67/1.29 % (3574355)Refutation not found, incomplete strategy
% 3.67/1.29 % (3574355)------------------------------
% 3.67/1.29 % (3574355)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.67/1.29 % (3574355)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.67/1.29 % (3574355)CaDiCaL version: 2.1.3
% 3.67/1.29 % (3574355)Termination reason: Refutation not found, incomplete strategy
% 3.67/1.29 % (3574355)Time elapsed: 0.001 s
% 3.67/1.29 % (3574355)Peak memory usage: 88 MB
% 3.67/1.29 % (3574356)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2157787424:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.67/1.29 % (3574354)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=2393316054:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.67/1.29 % (3574352)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=3323604213:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.67/1.29 % (3574358)dis-21_1_sil=8000:lcm=predicate:random_seed=3546794878:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 3.67/1.29 % (3574357)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1778511292:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.67/1.29 % (3574353)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=2800870824:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.67/1.29 % (3574356)Refutation not found, incomplete strategy
% 3.67/1.29 % (3574356)------------------------------
% 3.67/1.29 % (3574356)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.67/1.29 % (3574356)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.67/1.29 % (3574356)CaDiCaL version: 2.1.3
% 3.67/1.29 % (3574356)Termination reason: Refutation not found, incomplete strategy
% 3.67/1.29 % (3574356)Time elapsed: 0.001 s
% 3.67/1.29 % (3574356)Peak memory usage: 87 MB
% 3.67/1.29 % (3574358)Refutation not found, incomplete strategy
% 3.67/1.29 % (3574358)------------------------------
% 3.67/1.29 % (3574358)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.67/1.29 % (3574358)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.67/1.29 % (3574358)CaDiCaL version: 2.1.3
% 3.67/1.29 % (3574358)Termination reason: Refutation not found, incomplete strategy
% 3.67/1.29 % (3574358)Time elapsed: 0.001 s
% 3.67/1.29 % (3574358)Peak memory usage: 88 MB
% 3.67/1.29 % (3574357)First to succeed.
% 3.67/1.29 % (3574357)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3574347"
% 3.67/1.29 % (3574355)------------------------------
% 3.67/1.29 % (3574355)------------------------------
% 3.67/1.29 % (3574366)lrs+10_1_sil=8000:sp=occurrence:random_seed=1581639693:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 3.67/1.29 % (3574366)Also succeeded, but the first one will report.
% 3.67/1.29 % (3574356)------------------------------
% 3.67/1.29 % (3574356)------------------------------
% 3.67/1.29 % (3574358)------------------------------
% 3.67/1.29 % (3574358)------------------------------
% 3.67/1.29 % (3574357)Refutation found. Thanks to Tanya!
% 3.67/1.29 % SZS status Theorem for theBenchmark
% 3.67/1.29 % SZS output start Proof for theBenchmark
% See solution above
% 3.67/1.29 % (3574357)------------------------------
% 3.67/1.29 % (3574357)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.67/1.29 % (3574357)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.67/1.29 % (3574357)CaDiCaL version: 2.1.3
% 3.67/1.29 % (3574357)Termination reason: Refutation
% 3.67/1.29 % (3574357)Time elapsed: 0.002 s
% 3.67/1.29 % (3574357)Peak memory usage: 89 MB
% 3.67/1.29 % (3574357)Instructions burned: 1 (million)
% 3.67/1.29 % (3574357)------------------------------
% 3.67/1.29 % (3574357)------------------------------
% 3.67/1.29 % (3574347)Success in time 0.433 s
% 3.67/1.29 % Vampire exiting
%------------------------------------------------------------------------------