%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYO349_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 02:26:01 PM UTC 2026
% Result : Theorem 3.18s 1.02s
% Output : Refutation 3.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 3
% Syntax : Number of formulae : 21 ( 9 unt; 0 typ; 2 def)
% Number of atoms : 73 ( 10 equ)
% Maximal formula atoms : 4 ( 3 avg)
% Number of connectives : 38 ( 18 ~; 13 |; 3 &)
% ( 2 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of FOOLs : 32 ( 32 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 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_0,type,
bG0: $o ).
tff(func_def_3,type,
bG1: $o ).
tff(pred_def_2,type,
cP: $o > $o ).
tff(f1,conjecture,
( ~ cA
| ~ cB
| ~ cP(cA)
| cP(cB) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM617) ).
tff(f2,negated_conjecture,
~ ( ~ cA
| ~ cB
| ~ cP(cA)
| cP(cB) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
tff(f3,definition,
( cB
<=> ( bG0 = $true ) ),
introduced(definition,[new_symbols(definition,[bG0])],[fool_formula_definition]) ).
tff(f4,definition,
( cA
<=> ( $true = bG1 ) ),
introduced(definition,[new_symbols(definition,[bG1])],[fool_formula_definition]) ).
tff(f5,plain,
~ ( ~ cA
| ~ cB
| ~ cP(bG1)
| cP(bG0) ),
inference(fool_elimination,[],[f2,f4,f3]) ).
tff(f6,plain,
( cA
=> ( $true = bG1 ) ),
inference(unused_predicate_definition_removal,[],[f4]) ).
tff(f7,plain,
( cB
=> ( bG0 = $true ) ),
inference(unused_predicate_definition_removal,[],[f3]) ).
tff(f8,plain,
( cA
& cB
& cP(bG1)
& ~ cP(bG0) ),
inference(ennf_transformation,[],[f5]) ).
tff(f9,plain,
( ( bG0 = $true )
| ~ cB ),
inference(ennf_transformation,[],[f7]) ).
tff(f10,plain,
( ( $true = bG1 )
| ~ cA ),
inference(ennf_transformation,[],[f6]) ).
tff(f11,plain,
~ cP(bG0),
inference(cnf_transformation,[],[f8]) ).
tff(f12,plain,
cP(bG1),
inference(cnf_transformation,[],[f8]) ).
tff(f13,plain,
cB,
inference(cnf_transformation,[],[f8]) ).
tff(f14,plain,
cA,
inference(cnf_transformation,[],[f8]) ).
tff(f15,plain,
( ( bG0 = $true )
| ~ cB ),
inference(cnf_transformation,[],[f9]) ).
tff(f16,plain,
( ( $true = bG1 )
| ~ cA ),
inference(cnf_transformation,[],[f10]) ).
tff(f19,plain,
bG0 = $true,
inference(forward_subsumption_resolution,[],[f15,f13]) ).
tff(f20,plain,
~ cP($true),
inference(superposition,[],[f11,f19]) ).
tff(f21,plain,
$true = bG1,
inference(forward_subsumption_resolution,[],[f16,f14]) ).
tff(f22,plain,
cP($true),
inference(superposition,[],[f12,f21]) ).
tff(f23,plain,
$false,
inference(forward_subsumption_resolution,[],[f22,f20]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO349_8 : TPTP v9.3.1. Released v8.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n011.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 17:35:31 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 Running first-order theorem proving
% 0.09/0.23 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
% 3.18/1.02 % (3572341)Detected formulas, will run a generic FOF schedule.
% 3.18/1.02 % (3572352)dis-21_1_sil=8000:lcm=predicate:random_seed=4036923523: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)
% 3.18/1.02 % (3572352)Refutation not found, incomplete strategy
% 3.18/1.02 % (3572352)------------------------------
% 3.18/1.02 % (3572352)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.18/1.02 % (3572352)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.18/1.02 % (3572352)CaDiCaL version: 2.1.3
% 3.18/1.02 % (3572352)Termination reason: Refutation not found, incomplete strategy
% 3.18/1.02 % (3572352)Time elapsed: 0.001 s
% 3.18/1.02 % (3572352)Peak memory usage: 88 MB
% 3.18/1.02 % (3572350)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2070348618:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.18/1.02 % (3572351)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4041638158:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.18/1.02 % (3572349)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=819877841:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.18/1.02 % (3572346)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=313727395:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.18/1.02 % (3572348)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=1350974213:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.18/1.02 % (3572347)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=1381307299:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.18/1.02 % (3572350)First to succeed.
% 3.18/1.02 % (3572351)Also succeeded, but the first one will report.
% 3.18/1.02 % (3572349)Also succeeded, but the first one will report.
% 3.18/1.02 % (3572350)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3572341"
% 3.18/1.02 % (3572352)------------------------------
% 3.18/1.02 % (3572352)------------------------------
% 3.18/1.02 % (3572360)lrs+10_1_sil=8000:sp=occurrence:random_seed=1770227305:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 3.18/1.02 % (3572360)Also succeeded, but the first one will report.
% 3.18/1.02 % (3572350)Refutation found. Thanks to Tanya!
% 3.18/1.02 % SZS status Theorem for theBenchmark
% 3.18/1.02 % SZS output start Proof for theBenchmark
% See solution above
% 3.18/1.02 % (3572350)------------------------------
% 3.18/1.02 % (3572350)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.18/1.02 % (3572350)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.18/1.02 % (3572350)CaDiCaL version: 2.1.3
% 3.18/1.02 % (3572350)Termination reason: Refutation
% 3.18/1.02 % (3572350)Time elapsed: 0.002 s
% 3.18/1.02 % (3572350)Peak memory usage: 88 MB
% 3.18/1.02 % (3572350)------------------------------
% 3.18/1.02 % (3572350)------------------------------
% 3.18/1.02 % (3572341)Success in time 0.401 s
% 3.18/1.02 % Vampire exiting
%------------------------------------------------------------------------------