%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : PUZ131-10 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n008.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 : Unsatisfiable 2.35s 1.16s
% Output : Refutation 2.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 22
% Syntax : Number of formulae : 80 ( 80 unt; 13 def)
% Number of atoms : 80 ( 79 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 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 : 25 ( 25 usr; 10 con; 0-4 aty)
% Number of variables : 71 ( 71 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : ifeq(X0,X0,X1,X2) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ifeq_axiom) ).
fof(f7,axiom,
student(michael) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',michael_type) ).
fof(f8,plain,
true = student(michael),
inference(reorient_equations,[],[f7]) ).
fof(f9,axiom,
professor(victor) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',victor_type) ).
fof(f10,plain,
true = professor(victor),
inference(reorient_equations,[],[f9]) ).
fof(f11,axiom,
course(csc410) = true,
file('/export/starexec/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',teaching_conjecture) ).
fof(f40,plain,
true != taughtby(michael,victor),
inference(reorient_equations,[],[f39]) ).
fof(f50,definition,
sF3 = student(michael),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f51,plain,
student(michael) = sF3,
inference(reorient_equations,[],[f50]) ).
fof(f52,plain,
true = sF3,
inference(definition_folding,[],[f8,f51]) ).
fof(f53,definition,
sF4 = professor(victor),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f54,plain,
professor(victor) = sF4,
inference(reorient_equations,[],[f53]) ).
fof(f55,plain,
true = sF4,
inference(definition_folding,[],[f10,f54]) ).
fof(f56,definition,
sF5 = course(csc410),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f57,plain,
course(csc410) = sF5,
inference(reorient_equations,[],[f56]) ).
fof(f58,plain,
true = sF5,
inference(definition_folding,[],[f12,f57]) ).
fof(f104,definition,
! [X0] : sF24(X0) = teaches(coordinatorof(X0),X0),
introduced(definition,[new_symbols(definition,[sF24])],[function_definition]) ).
fof(f105,plain,
! [X0] : teaches(coordinatorof(X0),X0) = sF24(X0),
inference(reorient_equations,[],[f104]) ).
fof(f106,definition,
! [X0] : sF25(X0) = ifeq(course(X0),true,sF24(X0),true),
introduced(definition,[new_symbols(definition,[sF25])],[function_definition]) ).
fof(f107,plain,
! [X0] : ifeq(course(X0),true,sF24(X0),true) = sF25(X0),
inference(reorient_equations,[],[f106]) ).
fof(f108,plain,
! [X0] : true = sF25(X0),
inference(definition_folding,[],[f32,f107,f105]) ).
fof(f109,definition,
! [X2,X0] : sF26(X2,X0) = ifeq(student(X2),true,taughtby(X2,X0),true),
introduced(definition,[new_symbols(definition,[sF26])],[function_definition]) ).
fof(f110,plain,
! [X2,X0] : ifeq(student(X2),true,taughtby(X2,X0),true) = sF26(X2,X0),
inference(reorient_equations,[],[f109]) ).
fof(f111,definition,
! [X2,X0] : sF27(X0,X2) = ifeq(professor(X0),true,sF26(X2,X0),true),
introduced(definition,[new_symbols(definition,[sF27])],[function_definition]) ).
fof(f112,plain,
! [X2,X0] : ifeq(professor(X0),true,sF26(X2,X0),true) = sF27(X0,X2),
inference(reorient_equations,[],[f111]) ).
fof(f113,definition,
! [X2,X0,X1] : sF28(X1,X0,X2) = ifeq(course(X1),true,sF27(X0,X2),true),
introduced(definition,[new_symbols(definition,[sF28])],[function_definition]) ).
fof(f114,plain,
! [X2,X0,X1] : ifeq(course(X1),true,sF27(X0,X2),true) = sF28(X1,X0,X2),
inference(reorient_equations,[],[f113]) ).
fof(f115,definition,
! [X2,X0,X1] : sF29(X2,X1,X0) = ifeq(enrolled(X2,X1),true,sF28(X1,X0,X2),true),
introduced(definition,[new_symbols(definition,[sF29])],[function_definition]) ).
fof(f116,plain,
! [X2,X0,X1] : ifeq(enrolled(X2,X1),true,sF28(X1,X0,X2),true) = sF29(X2,X1,X0),
inference(reorient_equations,[],[f115]) ).
fof(f117,definition,
! [X2,X0,X1] : sF30(X0,X1,X2) = ifeq(teaches(X0,X1),true,sF29(X2,X1,X0),true),
introduced(definition,[new_symbols(definition,[sF30])],[function_definition]) ).
fof(f118,plain,
! [X2,X0,X1] : ifeq(teaches(X0,X1),true,sF29(X2,X1,X0),true) = sF30(X0,X1,X2),
inference(reorient_equations,[],[f117]) ).
fof(f119,plain,
! [X2,X0,X1] : true = sF30(X0,X1,X2),
inference(definition_folding,[],[f34,f118,f116,f114,f112,f110]) ).
fof(f120,definition,
sF31 = enrolled(michael,csc410),
introduced(definition,[new_symbols(definition,[sF31])],[function_definition]) ).
fof(f121,plain,
enrolled(michael,csc410) = sF31,
inference(reorient_equations,[],[f120]) ).
fof(f122,plain,
true = sF31,
inference(definition_folding,[],[f36,f121]) ).
fof(f123,definition,
sF32 = coordinatorof(csc410),
introduced(definition,[new_symbols(definition,[sF32])],[function_definition]) ).
fof(f124,plain,
coordinatorof(csc410) = sF32,
inference(reorient_equations,[],[f123]) ).
fof(f125,plain,
victor = sF32,
inference(definition_folding,[],[f38,f124]) ).
fof(f126,definition,
sF33 = taughtby(michael,victor),
introduced(definition,[new_symbols(definition,[sF33])],[function_definition]) ).
fof(f127,plain,
taughtby(michael,victor) = sF33,
inference(reorient_equations,[],[f126]) ).
fof(f128,plain,
true != sF33,
inference(definition_folding,[],[f40,f127]) ).
fof(f129,plain,
! [X2,X0,X1] : true = ifeq(teaches(X0,X1),true,sF29(X2,X1,X0),true),
inference(forward_demodulation,[],[f119,f118]) ).
fof(f130,plain,
! [X0] : true = ifeq(course(X0),true,sF24(X0),true),
inference(forward_demodulation,[],[f108,f107]) ).
fof(f140,plain,
! [X2,X0,X1] : true = ifeq(teaches(X0,X1),true,ifeq(enrolled(X2,X1),true,sF28(X1,X0,X2),true),true),
inference(forward_demodulation,[],[f129,f116]) ).
fof(f141,plain,
! [X0] : true = ifeq(course(X0),true,teaches(coordinatorof(X0),X0),true),
inference(forward_demodulation,[],[f130,f105]) ).
fof(f151,plain,
! [X2,X0,X1] : true = ifeq(teaches(X0,X1),true,ifeq(enrolled(X2,X1),true,ifeq(course(X1),true,sF27(X0,X2),true),true),true),
inference(forward_demodulation,[],[f140,f114]) ).
fof(f152,plain,
! [X2,X0,X1] : true = ifeq(teaches(X0,X1),true,ifeq(enrolled(X2,X1),true,ifeq(course(X1),true,ifeq(professor(X0),true,sF26(X2,X0),true),true),true),true),
inference(forward_demodulation,[],[f151,f112]) ).
fof(f153,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(forward_demodulation,[],[f152,f110]) ).
fof(f377,plain,
true = ifeq(course(csc410),true,teaches(sF32,csc410),true),
inference(superposition,[],[f141,f124]) ).
fof(f378,plain,
true = ifeq(course(csc410),true,teaches(victor,csc410),true),
inference(forward_demodulation,[],[f377,f125]) ).
fof(f390,plain,
true = ifeq(sF5,true,teaches(victor,csc410),true),
inference(forward_demodulation,[],[f378,f57]) ).
fof(f393,plain,
true = ifeq(true,true,teaches(victor,csc410),true),
inference(forward_demodulation,[],[f390,f58]) ).
fof(f395,plain,
true = teaches(victor,csc410),
inference(forward_demodulation,[],[f393,f1]) ).
fof(f994,plain,
! [X0] : true = ifeq(teaches(X0,csc410),true,ifeq(sF31,true,ifeq(course(csc410),true,ifeq(professor(X0),true,ifeq(student(michael),true,taughtby(michael,X0),true),true),true),true),true),
inference(superposition,[],[f153,f121]) ).
fof(f1175,plain,
! [X0] : true = ifeq(teaches(X0,csc410),true,ifeq(sF31,true,ifeq(course(csc410),true,ifeq(professor(X0),true,ifeq(sF3,true,taughtby(michael,X0),true),true),true),true),true),
inference(forward_demodulation,[],[f994,f51]) ).
fof(f1210,plain,
! [X0] : true = ifeq(teaches(X0,csc410),true,ifeq(sF31,true,ifeq(course(csc410),true,ifeq(professor(X0),true,ifeq(true,true,taughtby(michael,X0),true),true),true),true),true),
inference(forward_demodulation,[],[f1175,f52]) ).
fof(f1239,plain,
! [X0] : true = ifeq(teaches(X0,csc410),true,ifeq(sF31,true,ifeq(course(csc410),true,ifeq(professor(X0),true,taughtby(michael,X0),true),true),true),true),
inference(forward_demodulation,[],[f1210,f1]) ).
fof(f1268,plain,
! [X0] : true = ifeq(teaches(X0,csc410),true,ifeq(sF31,true,ifeq(sF5,true,ifeq(professor(X0),true,taughtby(michael,X0),true),true),true),true),
inference(forward_demodulation,[],[f1239,f57]) ).
fof(f1297,plain,
! [X0] : true = ifeq(teaches(X0,csc410),true,ifeq(sF31,true,ifeq(true,true,ifeq(professor(X0),true,taughtby(michael,X0),true),true),true),true),
inference(forward_demodulation,[],[f1268,f58]) ).
fof(f1320,plain,
! [X0] : true = ifeq(teaches(X0,csc410),true,ifeq(sF31,true,ifeq(professor(X0),true,taughtby(michael,X0),true),true),true),
inference(forward_demodulation,[],[f1297,f1]) ).
fof(f1328,plain,
! [X0] : true = ifeq(teaches(X0,csc410),true,ifeq(true,true,ifeq(professor(X0),true,taughtby(michael,X0),true),true),true),
inference(forward_demodulation,[],[f1320,f122]) ).
fof(f1330,plain,
! [X0] : true = ifeq(teaches(X0,csc410),true,ifeq(professor(X0),true,taughtby(michael,X0),true),true),
inference(forward_demodulation,[],[f1328,f1]) ).
fof(f1515,plain,
true = ifeq(teaches(victor,csc410),true,ifeq(professor(victor),true,sF33,true),true),
inference(superposition,[],[f1330,f127]) ).
fof(f1516,plain,
true = ifeq(teaches(victor,csc410),true,ifeq(sF4,true,sF33,true),true),
inference(forward_demodulation,[],[f1515,f54]) ).
fof(f1557,plain,
true = ifeq(teaches(victor,csc410),true,ifeq(true,true,sF33,true),true),
inference(forward_demodulation,[],[f1516,f55]) ).
fof(f1563,plain,
true = ifeq(teaches(victor,csc410),true,sF33,true),
inference(forward_demodulation,[],[f1557,f1]) ).
fof(f1568,plain,
true = ifeq(true,true,sF33,true),
inference(forward_demodulation,[],[f1563,f395]) ).
fof(f1571,plain,
true = sF33,
inference(forward_demodulation,[],[f1568,f1]) ).
fof(f1574,plain,
true != true,
inference(superposition,[],[f128,f1571]) ).
fof(f1575,plain,
$false,
inference(trivial_inequality_removal,[],[f1574]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ131-10 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.38 % Computer : n008.cluster.edu
% 0.13/0.38 % Model : x86_64 x86_64
% 0.13/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.38 % Memory : 8046.5625MB
% 0.13/0.38 % OS : Linux 6.8.0-71-generic
% 0.13/0.38 % CPULimit : 300
% 0.13/0.38 % WCLimit : 300
% 0.13/0.38 % DateTime : Sun Sep 27 22:45:25 UTC 2026
% 0.13/0.38 % CPUTime :
% 0.13/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.41 Running first-order theorem proving
% 0.13/0.41 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
% 2.35/1.16 % (1680362)Detected a unit-equality problem, will run specialized UEQ schedule.
% 2.35/1.16 % (1680371)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=2188815634:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 2.35/1.16 % (1680371)First to succeed.
% 2.35/1.16 % (1680371)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1680362"
% 2.35/1.16 % (1680373)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=3646448264:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 2.35/1.16 % (1680369)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=3095669702:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 2.35/1.16 % (1680370)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=2471405048:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 2.35/1.16 % (1680368)lrs+11_1_ncem=casc2026/models/loop6.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=1816132571:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 2.35/1.16 % (1680367)lrs+1002_1_ncem=casc2026/models/loop7.pt:sil=128000:tgt=ground:npcc=on:drc=off:sp=reverse_frequency:spb=goal:acc=on:s2agt=16:kmz=on:sac=on:random_seed=4279468658:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 2.35/1.16 % (1680372)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=953010847:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 2.35/1.16 % (1680373)Also succeeded, but the first one will report.
% 2.35/1.16 % (1680370)Also succeeded, but the first one will report.
% 2.35/1.16 % (1680372)Also succeeded, but the first one will report.
% 2.35/1.16 % (1680371)Refutation found. Thanks to Tanya!
% 2.35/1.16 % SZS status Unsatisfiable for theBenchmark
% 2.35/1.16 % SZS output start Proof for theBenchmark
% See solution above
% 2.71/1.35 % (1680371)------------------------------
% 2.71/1.35 % (1680371)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.71/1.35 % (1680371)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.71/1.35 % (1680371)CaDiCaL version: 2.1.3
% 2.71/1.35 % (1680371)Termination reason: Refutation
% 2.71/1.35 % (1680371)Time elapsed: 0.018 s
% 2.71/1.35 % (1680371)Peak memory usage: 89 MB
% 2.71/1.35 % (1680371)Instructions burned: 58 (million)
% 2.71/1.35 % (1680371)------------------------------
% 2.71/1.35 % (1680371)------------------------------
% 2.71/1.35 % (1680362)Success in time 0.303 s
% 2.71/1.35 % Vampire exiting
%------------------------------------------------------------------------------