%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : PUZ131+1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/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 12:31:40 PM UTC 2026
% Result : Theorem 2.68s 1.34s
% Output : Refutation 2.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 8
% Syntax : Number of formulae : 29 ( 17 unt; 0 def)
% Number of atoms : 63 ( 2 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 69 ( 35 ~; 28 |; 1 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-1 aty)
% Number of variables : 17 ( 17 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
student(michael),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',michael_type) ).
fof(f5,axiom,
professor(victor),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',victor_type) ).
fof(f6,axiom,
course(csc410),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',csc410_type) ).
fof(f12,axiom,
! [X0] :
( course(X0)
=> teaches(coordinatorof(X0),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',coordinator_teaches) ).
fof(f13,axiom,
! [X0,X1] :
( ( student(X0)
& course(X1) )
=> ( enrolled(X0,X1)
=> ! [X2] :
( professor(X2)
=> ( teaches(X2,X1)
=> taughtby(X0,X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',student_enrolled_taught) ).
fof(f14,axiom,
enrolled(michael,csc410),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',michael_enrolled_csc410_axiom) ).
fof(f15,axiom,
coordinatorof(csc410) = victor,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',victor_coordinator_csc410_axiom) ).
fof(f16,conjecture,
taughtby(michael,victor),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',teaching_conjecture) ).
fof(f17,negated_conjecture,
~ taughtby(michael,victor),
inference(negated_conjecture,[status(cth)],[f16]) ).
fof(f18,plain,
~ taughtby(michael,victor),
inference(flattening,[],[f17]) ).
fof(f24,plain,
! [X0] :
( teaches(coordinatorof(X0),X0)
| ~ course(X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f25,plain,
! [X0,X1] :
( ! [X2] :
( taughtby(X0,X2)
| ~ teaches(X2,X1)
| ~ professor(X2) )
| ~ enrolled(X0,X1)
| ~ student(X0)
| ~ course(X1) ),
inference(ennf_transformation,[],[f13]) ).
fof(f26,plain,
! [X0,X1] :
( ! [X2] :
( taughtby(X0,X2)
| ~ teaches(X2,X1)
| ~ professor(X2) )
| ~ enrolled(X0,X1)
| ~ student(X0)
| ~ course(X1) ),
inference(flattening,[],[f25]) ).
fof(f37,plain,
student(michael),
inference(cnf_transformation,[],[f4]) ).
fof(f38,plain,
professor(victor),
inference(cnf_transformation,[],[f5]) ).
fof(f39,plain,
course(csc410),
inference(cnf_transformation,[],[f6]) ).
fof(f49,plain,
! [X0] :
( teaches(coordinatorof(X0),X0)
| ~ course(X0) ),
inference(cnf_transformation,[],[f24]) ).
fof(f50,plain,
! [X2,X0,X1] :
( ~ course(X1)
| ~ teaches(X2,X1)
| ~ professor(X2)
| ~ enrolled(X0,X1)
| ~ student(X0)
| taughtby(X0,X2) ),
inference(cnf_transformation,[],[f26]) ).
fof(f51,plain,
enrolled(michael,csc410),
inference(cnf_transformation,[],[f14]) ).
fof(f52,plain,
victor = coordinatorof(csc410),
inference(cnf_transformation,[],[f15]) ).
fof(f53,plain,
~ taughtby(michael,victor),
inference(cnf_transformation,[],[f18]) ).
fof(f55,plain,
! [X0,X1] :
( taughtby(X1,X0)
| ~ professor(X0)
| ~ enrolled(X1,csc410)
| ~ student(X1)
| ~ teaches(X0,csc410) ),
inference(resolution,[],[f39,f50]) ).
fof(f59,plain,
( teaches(victor,csc410)
| ~ course(csc410) ),
inference(superposition,[],[f49,f52]) ).
fof(f60,plain,
teaches(victor,csc410),
inference(forward_subsumption_resolution,[],[f59,f39]) ).
fof(f64,plain,
( ~ professor(victor)
| ~ enrolled(michael,csc410)
| ~ student(michael)
| ~ teaches(victor,csc410) ),
inference(resolution,[],[f55,f53]) ).
fof(f65,plain,
( ~ enrolled(michael,csc410)
| ~ student(michael)
| ~ teaches(victor,csc410) ),
inference(forward_subsumption_resolution,[],[f64,f38]) ).
fof(f66,plain,
( ~ student(michael)
| ~ teaches(victor,csc410) ),
inference(forward_subsumption_resolution,[],[f65,f51]) ).
fof(f67,plain,
~ teaches(victor,csc410),
inference(forward_subsumption_resolution,[],[f66,f37]) ).
fof(f68,plain,
$false,
inference(forward_subsumption_resolution,[],[f67,f60]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : PUZ131+1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n014.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
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Sun Sep 27 22:44:46 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 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
% 2.68/1.34 % (1242760)Detected formulas, will run a generic FOF schedule.
% 2.68/1.34 % (1242770)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2213156407:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.68/1.34 % (1242770)First to succeed.
% 2.68/1.34 % (1242770)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1242760"
% 2.68/1.34 % (1242765)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=2694343926:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.68/1.34 % (1242766)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=2193783320:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.68/1.34 % (1242768)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1424547203:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.68/1.34 % (1242767)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=2189492305:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.68/1.34 % (1242769)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=4253434892:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.68/1.34 % (1242768)Refutation not found, incomplete strategy
% 2.68/1.34 % (1242768)------------------------------
% 2.68/1.34 % (1242768)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.68/1.34 % (1242768)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.68/1.34 % (1242768)CaDiCaL version: 2.1.3
% 2.68/1.34 % (1242768)Termination reason: Refutation not found, incomplete strategy
% 2.68/1.34 % (1242768)Time elapsed: 0.001 s
% 2.68/1.34 % (1242768)Peak memory usage: 86 MB
% 2.68/1.34 % (1242769)Refutation not found, incomplete strategy
% 2.68/1.34 % (1242769)------------------------------
% 2.68/1.34 % (1242769)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.68/1.34 % (1242769)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.68/1.34 % (1242769)CaDiCaL version: 2.1.3
% 2.68/1.34 % (1242769)Termination reason: Refutation not found, incomplete strategy
% 2.68/1.34 % (1242769)Time elapsed: 0.001 s
% 2.68/1.34 % (1242769)Peak memory usage: 88 MB
% 2.68/1.34 % (1242771)dis-21_1_sil=8000:lcm=predicate:random_seed=3048353239: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)
% 2.68/1.34 % (1242771)Refutation not found, incomplete strategy
% 2.68/1.34 % (1242771)------------------------------
% 2.68/1.34 % (1242771)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.68/1.34 % (1242771)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.68/1.34 % (1242771)CaDiCaL version: 2.1.3
% 2.68/1.34 % (1242771)Termination reason: Refutation not found, incomplete strategy
% 2.68/1.34 % (1242771)Time elapsed: 0.002 s
% 2.68/1.34 % (1242771)Peak memory usage: 88 MB
% 2.68/1.34 % (1242771)Instructions burned: 1 (million)
% 2.68/1.34 % (1242770)Refutation found. Thanks to Tanya!
% 2.68/1.34 % SZS status Theorem for theBenchmark
% 2.68/1.34 % SZS output start Proof for theBenchmark
% See solution above
% 2.68/1.34 % (1242770)------------------------------
% 2.68/1.34 % (1242770)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.68/1.34 % (1242770)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.68/1.34 % (1242770)CaDiCaL version: 2.1.3
% 2.68/1.34 % (1242770)Termination reason: Refutation
% 2.68/1.34 % (1242770)Time elapsed: 0.002 s
% 2.68/1.34 % (1242770)Peak memory usage: 89 MB
% 2.68/1.34 % (1242770)Instructions burned: 2 (million)
% 2.68/1.34 % (1242770)------------------------------
% 2.68/1.34 % (1242770)------------------------------
% 2.68/1.34 % (1242760)Success in time 0.292 s
% 2.68/1.34 % Vampire exiting
%------------------------------------------------------------------------------