%------------------------------------------------------------------------------
% File : Vampire-SAT---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 SAT
% Computer : n010.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 12:32:32 PM UTC 2026
% Result : Theorem 0.08s 0.43s
% Output : Refutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 8
% Syntax : Number of formulae : 35 ( 21 unt; 0 def)
% Number of atoms : 75 ( 2 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 73 ( 33 ~; 34 |; 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 : 22 ( 22 !; 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(f30,plain,
student(michael),
inference(cnf_transformation,[],[f4]) ).
fof(f31,plain,
professor(victor),
inference(cnf_transformation,[],[f5]) ).
fof(f32,plain,
course(csc410),
inference(cnf_transformation,[],[f6]) ).
fof(f42,plain,
! [X0] :
( ~ course(X0)
| teaches(coordinatorof(X0),X0) ),
inference(cnf_transformation,[],[f24]) ).
fof(f43,plain,
! [X2,X0,X1] :
( ~ course(X1)
| ~ student(X0)
| ~ enrolled(X0,X1)
| ~ professor(X2)
| ~ teaches(X2,X1)
| taughtby(X0,X2) ),
inference(cnf_transformation,[],[f26]) ).
fof(f44,plain,
enrolled(michael,csc410),
inference(cnf_transformation,[],[f14]) ).
fof(f45,plain,
victor = coordinatorof(csc410),
inference(cnf_transformation,[],[f15]) ).
fof(f46,plain,
~ taughtby(michael,victor),
inference(cnf_transformation,[],[f18]) ).
fof(f50,plain,
~ student(michael),
inference(consistent_polarity_flipping,[],[f30]) ).
fof(f51,plain,
~ professor(victor),
inference(consistent_polarity_flipping,[],[f31]) ).
fof(f52,plain,
~ course(csc410),
inference(consistent_polarity_flipping,[],[f32]) ).
fof(f62,plain,
! [X0] :
( teaches(coordinatorof(X0),X0)
| course(X0) ),
inference(consistent_polarity_flipping,[],[f42]) ).
fof(f63,plain,
! [X2,X0,X1] :
( ~ taughtby(X0,X2)
| student(X0)
| ~ enrolled(X0,X1)
| professor(X2)
| ~ teaches(X2,X1)
| course(X1) ),
inference(consistent_polarity_flipping,[],[f43]) ).
fof(f64,plain,
taughtby(michael,victor),
inference(consistent_polarity_flipping,[],[f46]) ).
fof(f66,plain,
( teaches(victor,csc410)
| course(csc410) ),
inference(superposition,[],[f62,f45]) ).
fof(f67,plain,
teaches(victor,csc410),
inference(forward_subsumption_resolution,[],[f66,f52]) ).
fof(f68,plain,
! [X0] :
( student(michael)
| ~ enrolled(michael,X0)
| professor(victor)
| ~ teaches(victor,X0)
| course(X0) ),
inference(resolution,[],[f63,f64]) ).
fof(f69,plain,
! [X0] :
( ~ enrolled(michael,X0)
| professor(victor)
| ~ teaches(victor,X0)
| course(X0) ),
inference(forward_subsumption_resolution,[],[f68,f50]) ).
fof(f70,plain,
! [X0] :
( ~ teaches(victor,X0)
| ~ enrolled(michael,X0)
| course(X0) ),
inference(forward_subsumption_resolution,[],[f69,f51]) ).
fof(f71,plain,
( ~ enrolled(michael,csc410)
| course(csc410) ),
inference(resolution,[],[f70,f67]) ).
fof(f74,plain,
course(csc410),
inference(forward_subsumption_resolution,[],[f71,f44]) ).
fof(f76,plain,
$false,
inference(forward_subsumption_resolution,[],[f74,f52]) ).
%------------------------------------------------------------------------------
%----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 SAT
% 0.08/0.36 % Computer : n010.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Sun Sep 27 22:45:17 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.39 Running first-order model finding
% 0.08/0.39 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.43 % (1378258)Will run a generic schedule for satisfiability detection.
% 0.08/0.43 % (1378264)% WARNING: option uhcvi not known.
% 0.08/0.43 % (1378268)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2228557456:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.08/0.43 % (1378263)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2185502246_2999 on theBenchmark for (2999ds/0Mi)
% 0.08/0.43 % (1378265)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=4117432572:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.08/0.43 % (1378266)dis+10_1_sil=32000:sp=arity:random_seed=4151477809:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.08/0.43 % (1378267)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1826885543:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.08/0.43 % (1378269)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2371611961:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.08/0.43 % (1378264)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3034480870:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.08/0.43 % TRYING [1]
% 0.08/0.43 % TRYING [2]
% 0.08/0.43 % (1378264) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1378258-1378264"...
% 0.08/0.43 % TRYING [3]
% 0.08/0.43 % (1378266) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1378258-1378266"...
% 0.08/0.43 % (1378267) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1378258-1378267"...
% 0.08/0.43 % TRYING [4]
% 0.08/0.43 % (1378264)...printing done.
% 0.08/0.43 % (1378263) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1378258-1378263"...
% 0.08/0.43 % (1378265) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1378258-1378265"...
% 0.08/0.43 % (1378266)...printing done.
% 0.08/0.43 % (1378264)Refutation found. Thanks to Tanya!
% 0.08/0.43 % SZS status Theorem for theBenchmark
% 0.08/0.43 % SZS output start Proof for theBenchmark
% See solution above
% 0.08/0.43 % (1378264)------------------------------
% 0.08/0.43 % (1378264)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.43 % (1378264)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.43 % (1378264)CaDiCaL version: 2.1.3
% 0.08/0.43 % (1378264)Termination reason: Refutation
% 0.08/0.43 % (1378264)Time elapsed: 0.001 s
% 0.08/0.43 % (1378264)Peak memory usage: 12 MB
% 0.08/0.43 % (1378264)Instructions burned: 2 (million)
% 0.08/0.43 % (1378258)Success in time 0.034 s
% 0.08/0.43 % Vampire exiting
%------------------------------------------------------------------------------