%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : PUZ131-10 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n006.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 : Unsatisfiable 0.13s 0.44s
% Output : Refutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 9
% Syntax : Number of formulae : 31 ( 31 unt; 0 def)
% Number of atoms : 31 ( 30 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 4 con; 0-4 aty)
% Number of variables : 17 ( 17 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : ifeq(X0,X0,X1,X2) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ifeq_axiom) ).
fof(f7,axiom,
student(michael) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',michael_type) ).
fof(f8,plain,
true = student(michael),
inference(reorient_equations,[],[f7]) ).
fof(f9,axiom,
professor(victor) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',victor_type) ).
fof(f10,plain,
true = professor(victor),
inference(reorient_equations,[],[f9]) ).
fof(f11,axiom,
course(csc410) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',csc410_type) ).
fof(f12,plain,
true = course(csc410),
inference(reorient_equations,[],[f11]) ).
fof(f31,axiom,
! [X0] : ifeq(course(X0),true,teaches(coordinatorof(X0),X0),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',coordinator_teaches) ).
fof(f32,plain,
! [X0] : true = ifeq(course(X0),true,teaches(coordinatorof(X0),X0),true),
inference(reorient_equations,[],[f31]) ).
fof(f33,axiom,
! [X2,X0,X1] : ifeq(teaches(X0,X1),true,ifeq(enrolled(X2,X1),true,ifeq(course(X1),true,ifeq(professor(X0),true,ifeq(student(X2),true,taughtby(X2,X0),true),true),true),true),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',student_enrolled_taught) ).
fof(f34,plain,
! [X2,X0,X1] : true = ifeq(teaches(X0,X1),true,ifeq(enrolled(X2,X1),true,ifeq(course(X1),true,ifeq(professor(X0),true,ifeq(student(X2),true,taughtby(X2,X0),true),true),true),true),true),
inference(reorient_equations,[],[f33]) ).
fof(f35,axiom,
enrolled(michael,csc410) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',michael_enrolled_csc410_axiom) ).
fof(f36,plain,
true = enrolled(michael,csc410),
inference(reorient_equations,[],[f35]) ).
fof(f37,axiom,
coordinatorof(csc410) = victor,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',victor_coordinator_csc410_axiom) ).
fof(f38,plain,
victor = coordinatorof(csc410),
inference(reorient_equations,[],[f37]) ).
fof(f39,negated_conjecture,
taughtby(michael,victor) != true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',teaching_conjecture) ).
fof(f40,plain,
true != taughtby(michael,victor),
inference(reorient_equations,[],[f39]) ).
fof(f159,plain,
true = ifeq(course(csc410),true,teaches(victor,csc410),true),
inference(superposition,[],[f32,f38]) ).
fof(f160,plain,
true = ifeq(true,true,teaches(victor,csc410),true),
inference(forward_demodulation,[],[f159,f12]) ).
fof(f167,plain,
true = teaches(victor,csc410),
inference(forward_demodulation,[],[f160,f1]) ).
fof(f175,plain,
! [X0] : true = ifeq(teaches(X0,csc410),true,ifeq(true,true,ifeq(course(csc410),true,ifeq(professor(X0),true,ifeq(student(michael),true,taughtby(michael,X0),true),true),true),true),true),
inference(superposition,[],[f34,f36]) ).
fof(f206,plain,
! [X0] : true = ifeq(teaches(X0,csc410),true,ifeq(course(csc410),true,ifeq(professor(X0),true,ifeq(student(michael),true,taughtby(michael,X0),true),true),true),true),
inference(forward_demodulation,[],[f175,f1]) ).
fof(f207,plain,
! [X0] : true = ifeq(teaches(X0,csc410),true,ifeq(course(csc410),true,ifeq(professor(X0),true,ifeq(true,true,taughtby(michael,X0),true),true),true),true),
inference(forward_demodulation,[],[f206,f8]) ).
fof(f208,plain,
! [X0] : true = ifeq(teaches(X0,csc410),true,ifeq(course(csc410),true,ifeq(professor(X0),true,taughtby(michael,X0),true),true),true),
inference(forward_demodulation,[],[f207,f1]) ).
fof(f209,plain,
! [X0] : true = ifeq(teaches(X0,csc410),true,ifeq(true,true,ifeq(professor(X0),true,taughtby(michael,X0),true),true),true),
inference(forward_demodulation,[],[f208,f12]) ).
fof(f210,plain,
! [X0] : true = ifeq(teaches(X0,csc410),true,ifeq(professor(X0),true,taughtby(michael,X0),true),true),
inference(forward_demodulation,[],[f209,f1]) ).
fof(f292,plain,
true = ifeq(teaches(victor,csc410),true,ifeq(true,true,taughtby(michael,victor),true),true),
inference(superposition,[],[f210,f10]) ).
fof(f299,plain,
true = ifeq(teaches(victor,csc410),true,taughtby(michael,victor),true),
inference(forward_demodulation,[],[f292,f1]) ).
fof(f304,plain,
true = ifeq(true,true,taughtby(michael,victor),true),
inference(forward_demodulation,[],[f299,f167]) ).
fof(f308,plain,
true = taughtby(michael,victor),
inference(forward_demodulation,[],[f304,f1]) ).
fof(f311,plain,
$false,
inference(forward_subsumption_resolution,[],[f308,f40]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : PUZ131-10 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.35 % Computer : n006.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Sun Sep 27 22:44:26 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.35 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.13/0.38 Running first-order model finding
% 0.13/0.38 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
% 0.13/0.44 % (3400907)Will run a generic schedule for satisfiability detection.
% 0.13/0.44 % (3400914)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=253080200:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.13/0.44 % (3400913)% WARNING: option uhcvi not known.
% 0.13/0.44 % (3400912)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=4227286310_2999 on theBenchmark for (2999ds/0Mi)
% 0.13/0.44 % (3400913)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3270404769:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.13/0.44 % (3400915)dis+10_1_sil=32000:sp=arity:random_seed=1624995745:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.13/0.44 % (3400916)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=4006363569:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.13/0.44 % (3400917)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=383753985:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.13/0.44 % (3400918)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2922651866:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.13/0.44 % TRYING [1]
% 0.13/0.44 % TRYING [2]
% 0.13/0.44 % TRYING [3]
% 0.13/0.44 % (3400915) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3400907-3400915"...
% 0.13/0.44 % (3400916) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3400907-3400916"...
% 0.13/0.44 % (3400915)...printing done.
% 0.13/0.44 % (3400916)...printing done.
% 0.13/0.44 % (3400915)Refutation found. Thanks to Tanya!
% 0.13/0.44 % SZS status Unsatisfiable for theBenchmark
% 0.13/0.44 % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.44 % (3400915)------------------------------
% 0.13/0.44 % (3400915)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.13/0.44 % (3400915)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.13/0.44 % (3400915)CaDiCaL version: 2.1.3
% 0.13/0.44 % (3400915)Termination reason: Refutation
% 0.13/0.44 % (3400915)Time elapsed: 0.008 s
% 0.13/0.44 % (3400915)Peak memory usage: 11 MB
% 0.13/0.44 % (3400915)Instructions burned: 13 (million)
% 0.13/0.44 % (3400907)Success in time 0.052 s
% 0.13/0.44 % Vampire exiting
%------------------------------------------------------------------------------