%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : MGT116+1 : TPTP v9.3.1. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n020.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 12:02:25 PM UTC 2026
% Result : Theorem 2.67s 1.33s
% Output : Refutation 2.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 8
% Syntax : Number of formulae : 33 ( 18 unt; 2 def)
% Number of atoms : 67 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 71 ( 37 ~; 28 |; 3 &)
% ( 2 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 3 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-1 aty)
% Number of variables : 42 ( 0 sgn 42 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( subjection(X0)
& cnt(X0,decl(X1),X2)
& part_of(X0,X3)
& founds_rem(X4,X3,X5) )
=> about_event(X0,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_B3) ).
fof(f8,axiom,
subjection(s),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subj_s) ).
fof(f9,axiom,
cnt(s,decl(some_action),some_target),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cnt_s) ).
fof(f10,axiom,
part_of(s,rho_r),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',partof_s) ).
fof(f11,axiom,
founds_rem(e1,rho_r,f1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',founds_rem1) ).
fof(f12,conjecture,
about_event(s,e1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conjecture) ).
fof(f13,negated_conjecture,
~ about_event(s,e1),
inference(negated_conjecture,[status(cth)],[f12]) ).
fof(f14,plain,
~ about_event(s,e1),
inference(flattening,[],[f13]) ).
fof(f21,plain,
! [X0,X1,X2,X3,X4,X5] :
( about_event(X0,X4)
| ~ subjection(X0)
| ~ cnt(X0,decl(X1),X2)
| ~ part_of(X0,X3)
| ~ founds_rem(X4,X3,X5) ),
inference(ennf_transformation,[],[f1]) ).
fof(f22,plain,
! [X0,X1,X2,X3,X4,X5] :
( about_event(X0,X4)
| ~ subjection(X0)
| ~ cnt(X0,decl(X1),X2)
| ~ part_of(X0,X3)
| ~ founds_rem(X4,X3,X5) ),
inference(flattening,[],[f21]) ).
fof(f23,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ subjection(X0)
| about_event(X0,X4)
| ~ cnt(X0,decl(X1),X2)
| ~ part_of(X0,X3)
| ~ founds_rem(X4,X3,X5) ),
inference(cnf_transformation,[],[f22]) ).
fof(f24,plain,
subjection(s),
inference(cnf_transformation,[],[f8]) ).
fof(f25,plain,
cnt(s,decl(some_action),some_target),
inference(cnf_transformation,[],[f9]) ).
fof(f26,plain,
part_of(s,rho_r),
inference(cnf_transformation,[],[f10]) ).
fof(f27,plain,
founds_rem(e1,rho_r,f1),
inference(cnf_transformation,[],[f11]) ).
fof(f28,plain,
~ about_event(s,e1),
inference(cnf_transformation,[],[f14]) ).
fof(f29,plain,
! [X2,X3,X0,X1,X4] :
( about_event(s,X0)
| ~ cnt(s,decl(X1),X2)
| ~ part_of(s,X3)
| ~ founds_rem(X0,X3,X4) ),
inference(resolution,[],[f23,f24]) ).
fof(f31,definition,
( spl0_1
<=> ! [X2,X1] : ~ cnt(s,decl(X1),X2) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f32,plain,
( ! [X2,X1] : ~ cnt(s,decl(X1),X2)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f31]) ).
fof(f34,definition,
( spl0_2
<=> ! [X4,X0,X3] :
( about_event(s,X0)
| ~ founds_rem(X0,X3,X4)
| ~ part_of(s,X3) ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f35,plain,
( ! [X3,X0,X4] :
( about_event(s,X0)
| ~ founds_rem(X0,X3,X4)
| ~ part_of(s,X3) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f34]) ).
fof(f36,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f29,f34,f31]) ).
fof(f37,plain,
( ! [X0,X1] :
( ~ part_of(s,X0)
| ~ founds_rem(e1,X0,X1) )
| ~ spl0_2 ),
inference(resolution,[],[f35,f28]) ).
fof(f38,plain,
( ! [X0] : ~ founds_rem(e1,rho_r,X0)
| ~ spl0_2 ),
inference(resolution,[],[f37,f26]) ).
fof(f39,plain,
( $false
| ~ spl0_2 ),
inference(resolution,[],[f38,f27]) ).
fof(f40,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f39]) ).
fof(f41,plain,
( $false
| ~ spl0_1 ),
inference(resolution,[],[f32,f25]) ).
fof(f42,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f41]) ).
cnf(s1,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f36]) ).
cnf(s2,plain,
~ spl0_2,
inference(sat_conversion,[],[f40]) ).
cnf(s3,plain,
~ spl0_1,
inference(sat_conversion,[],[f42]) ).
cnf(s4,plain,
$false,
inference(rat,[],[s1,s2,s3]) ).
fof(f43,plain,
$false,
inference(avatar_sat_refutation,[],[s4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT116+1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n020.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 27 17:40:50 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 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
% 2.67/1.33 % (3639462)Detected formulas, will run a generic FOF schedule.
% 2.67/1.33 % (3639472)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1336309236:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.67/1.33 % (3639472)First to succeed.
% 2.67/1.33 % (3639472)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3639462"
% 2.67/1.33 % (3639471)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=138549857:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.67/1.33 % (3639467)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=3585414914:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.67/1.33 % (3639470)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=817728713:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.67/1.33 % (3639469)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=1837077764:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.67/1.33 % (3639473)dis-21_1_sil=8000:lcm=predicate:random_seed=2639675421: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)
% 2.67/1.33 % (3639468)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=2575067093:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.67/1.33 % (3639470)Refutation not found, incomplete strategy
% 2.67/1.33 % (3639470)------------------------------
% 2.67/1.33 % (3639470)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.67/1.33 % (3639470)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.67/1.33 % (3639470)CaDiCaL version: 2.1.3
% 2.67/1.33 % (3639470)Termination reason: Refutation not found, incomplete strategy
% 2.67/1.33 % (3639470)Time elapsed: 0.0000 s
% 2.67/1.33 % (3639470)Peak memory usage: 87 MB
% 2.67/1.33 % (3639471)Also succeeded, but the first one will report.
% 2.67/1.33 % (3639473)Also succeeded, but the first one will report.
% 2.67/1.33 % (3639472)Refutation found. Thanks to Tanya!
% 2.67/1.33 % SZS status Theorem for theBenchmark
% 2.67/1.33 % SZS output start Proof for theBenchmark
% See solution above
% 2.67/1.33 % (3639472)------------------------------
% 2.67/1.33 % (3639472)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.67/1.33 % (3639472)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.67/1.33 % (3639472)CaDiCaL version: 2.1.3
% 2.67/1.33 % (3639472)Termination reason: Refutation
% 2.67/1.33 % (3639472)Time elapsed: 0.001 s
% 2.67/1.33 % (3639472)Peak memory usage: 89 MB
% 2.67/1.33 % (3639472)Instructions burned: 1 (million)
% 2.67/1.33 % (3639472)------------------------------
% 2.67/1.33 % (3639472)------------------------------
% 2.67/1.33 % (3639462)Success in time 0.29 s
% 2.67/1.33 % Vampire exiting
%------------------------------------------------------------------------------