%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : PUZ131_1 : TPTP v9.3.1. Released v5.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n001.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 12:31:40 PM UTC 2026
% Result : Theorem 0.17s 1.70s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of formulae : 17 ( 13 unt; 0 typ; 0 def)
% Number of atoms : 24 ( 2 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 16 ( 9 ~; 5 |; 0 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 4 ( 3 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-1 aty)
% Number of variables : 12 ( 12 !; 0 ?; 12 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
student: $tType ).
tff(type_def_6,type,
professor: $tType ).
tff(type_def_7,type,
course: $tType ).
tff(func_def_0,type,
michael: student ).
tff(func_def_1,type,
victor: professor ).
tff(func_def_2,type,
csc410: course ).
tff(func_def_3,type,
coordinatorof: course > professor ).
tff(func_def_4,type,
sK0: student > course ).
tff(func_def_5,type,
sK1: professor > course ).
tff(func_def_6,type,
sK2: course > student ).
tff(func_def_7,type,
sK3: course > professor ).
tff(pred_def_1,type,
enrolled: ( student * course ) > $o ).
tff(pred_def_2,type,
teaches: ( professor * course ) > $o ).
tff(pred_def_3,type,
taughtby: ( student * professor ) > $o ).
tff(f5,axiom,
! [X0: course] : teaches(coordinatorof(X0),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',coordinator_teaches) ).
tff(f6,axiom,
! [X0: student,X1: course] :
( enrolled(X0,X1)
=> ! [X2: professor] :
( teaches(X2,X1)
=> taughtby(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',student_enrolled_taught) ).
tff(f7,axiom,
enrolled(michael,csc410),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',michael_enrolled_csc410) ).
tff(f8,axiom,
coordinatorof(csc410) = victor,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',victor_coordinator_csc410) ).
tff(f9,conjecture,
taughtby(michael,victor),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',teaching_conjecture) ).
tff(f10,negated_conjecture,
~ taughtby(michael,victor),
inference(negated_conjecture,[status(cth)],[f9]) ).
tff(f11,plain,
~ taughtby(michael,victor),
inference(flattening,[],[f10]) ).
tff(f12,plain,
! [X0: student,X1: course] :
( ! [X2: professor] :
( taughtby(X0,X2)
| ~ teaches(X2,X1) )
| ~ enrolled(X0,X1) ),
inference(ennf_transformation,[],[f6]) ).
tff(f21,plain,
! [X0: course] : teaches(coordinatorof(X0),X0),
inference(cnf_transformation,[],[f5]) ).
tff(f22,plain,
! [X2: professor,X0: student,X1: course] :
( ~ teaches(X2,X1)
| taughtby(X0,X2)
| ~ enrolled(X0,X1) ),
inference(cnf_transformation,[],[f12]) ).
tff(f23,plain,
enrolled(michael,csc410),
inference(cnf_transformation,[],[f7]) ).
tff(f24,plain,
coordinatorof(csc410) = victor,
inference(cnf_transformation,[],[f8]) ).
tff(f25,plain,
~ taughtby(michael,victor),
inference(cnf_transformation,[],[f11]) ).
tff(f29,plain,
teaches(victor,csc410),
inference(superposition,[],[f21,f24]) ).
tff(f30,plain,
! [X0: student] :
( taughtby(X0,victor)
| ~ enrolled(X0,csc410) ),
inference(resolution,[],[f29,f22]) ).
tff(f31,plain,
~ enrolled(michael,csc410),
inference(resolution,[],[f30,f25]) ).
tff(f32,plain,
$false,
inference(forward_subsumption_resolution,[],[f31,f23]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : PUZ131_1 : TPTP v9.3.1. Released v5.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.38 % Computer : n001.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Sun Sep 27 22:50:47 UTC 2026
% 0.10/0.39 % CPUTime :
% 0.10/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.42 Running first-order theorem proving
% 0.10/0.42 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
% 0.17/1.70 % (4045026)Detected formulas, will run a generic FOF schedule.
% 0.17/1.70 % (4045051)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=3618865219:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 0.17/1.70 % (4045052)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=2835591545:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 0.17/1.70 % (4045054)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=415444432:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 0.17/1.70 % (4045054)Refutation not found, incomplete strategy
% 0.17/1.70 % (4045054)------------------------------
% 0.17/1.70 % (4045054)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.17/1.70 % (4045054)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/1.70 % (4045054)CaDiCaL version: 2.1.3
% 0.17/1.70 % (4045054)Termination reason: Refutation not found, incomplete strategy
% 0.17/1.70 % (4045054)Time elapsed: 0.001 s
% 0.17/1.70 % (4045054)Peak memory usage: 87 MB
% 0.17/1.70 % (4045056)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1216883004:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 0.17/1.70 % (4045056)First to succeed.
% 0.17/1.70 % (4045056)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-4045026"
% 0.17/1.70 % (4045053)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=1700748375:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 0.17/1.70 % (4045057)dis-21_1_sil=8000:lcm=predicate:random_seed=3697187413: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)
% 0.17/1.70 % (4045055)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2019290875:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 0.17/1.70 % (4045055)Refutation not found, incomplete strategy
% 0.17/1.70 % (4045055)------------------------------
% 0.17/1.70 % (4045055)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.17/1.70 % (4045055)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/1.70 % (4045055)CaDiCaL version: 2.1.3
% 0.17/1.70 % (4045055)Termination reason: Refutation not found, incomplete strategy
% 0.17/1.70 % (4045055)Time elapsed: 0.001 s
% 0.17/1.70 % (4045055)Peak memory usage: 88 MB
% 0.17/1.70 % (4045057)Refutation not found, incomplete strategy
% 0.17/1.70 % (4045057)------------------------------
% 0.17/1.70 % (4045057)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.17/1.70 % (4045057)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/1.70 % (4045057)CaDiCaL version: 2.1.3
% 0.17/1.70 % (4045057)Termination reason: Refutation not found, incomplete strategy
% 0.17/1.70 % (4045057)Time elapsed: 0.002 s
% 0.17/1.70 % (4045057)Peak memory usage: 88 MB
% 0.17/1.70 % (4045057)------------------------------
% 0.17/1.70 % (4045057)------------------------------
% 0.17/1.70 % (4045054)------------------------------
% 0.17/1.70 % (4045054)------------------------------
% 0.17/1.70 % (4045056)Refutation found. Thanks to Tanya!
% 0.17/1.70 % SZS status Theorem for theBenchmark
% 0.17/1.70 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/1.70 % (4045056)------------------------------
% 0.17/1.70 % (4045056)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.17/1.70 % (4045056)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/1.70 % (4045056)CaDiCaL version: 2.1.3
% 0.17/1.70 % (4045056)Termination reason: Refutation
% 0.17/1.70 % (4045056)Time elapsed: 0.003 s
% 0.17/1.70 % (4045056)Peak memory usage: 89 MB
% 0.17/1.70 % (4045056)Instructions burned: 1 (million)
% 0.17/1.70 % (4045056)------------------------------
% 0.17/1.70 % (4045056)------------------------------
% 0.17/1.70 % (4045026)Success in time 0.615 s
% 0.17/1.70 % Vampire exiting
%------------------------------------------------------------------------------