%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : PUZ131-10 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n020.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 : Fri Sep 25 02:33:00 PM UTC 2026
% Result : Unsatisfiable 2.27s 1.17s
% Output : CNFRefutation 2.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 16
% Syntax : Number of formulae : 71 ( 71 unt; 6 def)
% Number of atoms : 206 ( 70 equ)
% Maximal formula atoms : 1 ( 2 avg)
% Number of connectives : 5 ( 5 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 8 ( 6 usr; 7 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 4 con; 0-4 aty)
% Number of variables : 35 ( 0 sgn 35 !; 0 ?; 22 :)
% 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(f13,axiom,
! [X0] : ifeq(course(X0),true,professor(coordinatorof(X0)),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',coordinator_of_type) ).
fof(f14,plain,
! [X0] : true = ifeq(course(X0),true,professor(coordinatorof(X0)),true),
inference(reorient_equations,[],[f13]) ).
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]) ).
tcf(c_70,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] : ifeq(X0,X0,X1,X2) = X1,
inference(cnf_transformation,[],[f1]) ).
tcf(c_74,negated_conjecture,
student(michael) = true,
inference(cnf_transformation,[],[f8]) ).
tcf(c_75,negated_conjecture,
professor(victor) = true,
inference(cnf_transformation,[],[f10]) ).
tcf(c_76,negated_conjecture,
course(csc410) = true,
inference(cnf_transformation,[],[f12]) ).
tcf(c_77,negated_conjecture,
! [X0: $i] : ifeq(course(X0),true,professor(coordinatorof(X0)),true) = true,
inference(cnf_transformation,[],[f14]) ).
tcf(c_86,negated_conjecture,
! [X0: $i] : ifeq(course(X0),true,teaches(coordinatorof(X0),X0),true) = true,
inference(cnf_transformation,[],[f32]) ).
tcf(c_87,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] : 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,
inference(cnf_transformation,[],[f34]) ).
tcf(c_88,negated_conjecture,
enrolled(michael,csc410) = true,
inference(cnf_transformation,[],[f36]) ).
tcf(c_89,negated_conjecture,
coordinatorof(csc410) = victor,
inference(cnf_transformation,[],[f38]) ).
tcf(c_90,negated_conjecture,
taughtby(michael,victor) != true,
inference(cnf_transformation,[],[f40]) ).
tcf(c_155,definition,
iPr_def_10 = taughtby(michael,victor),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_156,definition,
iPr_def_11 = coordinatorof(csc410),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_157,definition,
iPr_def_12 = enrolled(michael,csc410),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_158,definition,
iPr_def_13 = course(csc410),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_159,definition,
iPr_def_14 = professor(victor),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_160,definition,
iPr_def_15 = student(michael),
introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).
tcf(c_164,negated_conjecture,
iPr_def_10 != true,
inference(demodulation,[status(thm)],[c_90,c_155]) ).
tcf(c_165,negated_conjecture,
iPr_def_11 = victor,
inference(demodulation,[status(thm)],[c_89,c_156]) ).
tcf(c_166,negated_conjecture,
iPr_def_12 = true,
inference(demodulation,[status(thm)],[c_88,c_157]) ).
tcf(c_167,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] : 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,
inference(demodulation,[status(thm)],[c_87]) ).
tcf(c_168,negated_conjecture,
! [X0: $i] : ifeq(course(X0),true,teaches(coordinatorof(X0),X0),true) = true,
inference(demodulation,[status(thm)],[c_86]) ).
tcf(c_177,negated_conjecture,
! [X0: $i] : ifeq(course(X0),true,professor(coordinatorof(X0)),true) = true,
inference(demodulation,[status(thm)],[c_77]) ).
tcf(c_178,negated_conjecture,
iPr_def_13 = true,
inference(demodulation,[status(thm)],[c_76,c_158]) ).
tcf(c_179,negated_conjecture,
iPr_def_14 = true,
inference(demodulation,[status(thm)],[c_75,c_159]) ).
tcf(c_180,negated_conjecture,
iPr_def_15 = true,
inference(demodulation,[status(thm)],[c_74,c_160]) ).
tcf(c_184,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] : ifeq(X0,X0,X1,X2) = X1,
inference(demodulation,[status(thm)],[c_70]) ).
tcf(c_319,plain,
iPr_def_14 = iPr_def_15,
inference(demodulation,[status(thm)],[c_180,c_179]) ).
tcf(c_320,plain,
iPr_def_13 = iPr_def_14,
inference(demodulation,[status(thm)],[c_179,c_178]) ).
tcf(c_321,plain,
iPr_def_12 = iPr_def_13,
inference(demodulation,[status(thm)],[c_178,c_166]) ).
tcf(c_322,plain,
iPr_def_10 != iPr_def_12,
inference(light_normalisation,[status(thm)],[c_164,c_166]) ).
tcf(c_324,plain,
taughtby(michael,iPr_def_11) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_155,c_165]) ).
tcf(c_337,plain,
! [X0: $i] : ifeq(course(X0),iPr_def_12,professor(coordinatorof(X0)),iPr_def_12) = iPr_def_12,
inference(light_normalisation,[status(thm)],[c_177,c_166]) ).
tcf(c_339,plain,
ifeq(iPr_def_13,iPr_def_12,professor(coordinatorof(csc410)),iPr_def_12) = iPr_def_12,
inference(superposition,[status(thm)],[c_158,c_337]) ).
tcf(c_341,plain,
! [X0: $i] : ifeq(course(X0),iPr_def_12,teaches(coordinatorof(X0),X0),iPr_def_12) = iPr_def_12,
inference(light_normalisation,[status(thm)],[c_168,c_166]) ).
tcf(c_343,plain,
ifeq(iPr_def_13,iPr_def_12,teaches(coordinatorof(csc410),csc410),iPr_def_12) = iPr_def_12,
inference(superposition,[status(thm)],[c_158,c_341]) ).
tcf(c_357,plain,
! [X0: $i,X1: $i,X2: $i] : ifeq(teaches(X0,X1),iPr_def_12,ifeq(enrolled(X2,X1),iPr_def_12,ifeq(course(X1),iPr_def_12,ifeq(professor(X0),iPr_def_12,ifeq(student(X2),iPr_def_12,taughtby(X2,X0),iPr_def_12),iPr_def_12),iPr_def_12),iPr_def_12),iPr_def_12) = iPr_def_12,
inference(light_normalisation,[status(thm)],[c_167,c_166]) ).
tcf(c_358,plain,
! [X0: $i] : ifeq(teaches(X0,csc410),iPr_def_12,ifeq(iPr_def_12,iPr_def_12,ifeq(course(csc410),iPr_def_12,ifeq(professor(X0),iPr_def_12,ifeq(student(michael),iPr_def_12,taughtby(michael,X0),iPr_def_12),iPr_def_12),iPr_def_12),iPr_def_12),iPr_def_12) = iPr_def_12,
inference(superposition,[status(thm)],[c_157,c_357]) ).
tcf(c_431,plain,
student(michael) = iPr_def_14,
inference(demodulation,[status(thm)],[c_160,c_319]) ).
tcf(c_434,plain,
iPr_def_12 = iPr_def_14,
inference(demodulation,[status(thm)],[c_320,c_321]) ).
tcf(c_435,plain,
course(csc410) = iPr_def_12,
inference(demodulation,[status(thm)],[c_158,c_321]) ).
tcf(c_439,plain,
ifeq(iPr_def_12,iPr_def_12,professor(iPr_def_11),iPr_def_12) = iPr_def_12,
inference(light_normalisation,[status(thm)],[c_339,c_156,c_321]) ).
tcf(c_440,plain,
professor(iPr_def_11) = iPr_def_12,
inference(superposition,[status(thm)],[c_184,c_439]) ).
tcf(c_454,plain,
ifeq(iPr_def_12,iPr_def_12,teaches(iPr_def_11,csc410),iPr_def_12) = iPr_def_12,
inference(light_normalisation,[status(thm)],[c_343,c_156,c_321]) ).
tcf(c_455,plain,
teaches(iPr_def_11,csc410) = iPr_def_12,
inference(superposition,[status(thm)],[c_184,c_454]) ).
tcf(c_459,plain,
ifeq(teaches(iPr_def_11,csc410),iPr_def_12,ifeq(iPr_def_12,iPr_def_12,ifeq(course(csc410),iPr_def_12,ifeq(professor(iPr_def_11),iPr_def_12,ifeq(student(michael),iPr_def_12,iPr_def_10,iPr_def_12),iPr_def_12),iPr_def_12),iPr_def_12),iPr_def_12) = iPr_def_12,
inference(superposition,[status(thm)],[c_324,c_358]) ).
tcf(c_477,plain,
ifeq(iPr_def_12,iPr_def_12,ifeq(iPr_def_12,iPr_def_12,ifeq(course(csc410),iPr_def_12,ifeq(iPr_def_12,iPr_def_12,ifeq(student(michael),iPr_def_12,iPr_def_10,iPr_def_12),iPr_def_12),iPr_def_12),iPr_def_12),iPr_def_12) = iPr_def_12,
inference(demodulation,[status(thm)],[c_459,c_440,c_455]) ).
tcf(c_620,plain,
student(michael) = iPr_def_12,
inference(demodulation,[status(thm)],[c_431,c_434]) ).
tcf(c_691,plain,
ifeq(iPr_def_12,iPr_def_12,ifeq(iPr_def_12,iPr_def_12,ifeq(iPr_def_12,iPr_def_12,ifeq(iPr_def_12,iPr_def_12,ifeq(student(michael),iPr_def_12,iPr_def_10,iPr_def_12),iPr_def_12),iPr_def_12),iPr_def_12),iPr_def_12) = iPr_def_12,
inference(light_normalisation,[status(thm)],[c_477,c_435]) ).
tcf(c_695,plain,
ifeq(student(michael),iPr_def_12,iPr_def_10,iPr_def_12) = iPr_def_12,
inference(superposition,[status(thm)],[c_184,c_691]) ).
tcf(c_2030,plain,
ifeq(iPr_def_12,iPr_def_12,iPr_def_10,iPr_def_12) = iPr_def_12,
inference(light_normalisation,[status(thm)],[c_695,c_620]) ).
tcf(c_2035,plain,
iPr_def_10 = iPr_def_12,
inference(superposition,[status(thm)],[c_184,c_2030]) ).
tcf(c_4072,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_322,c_2035]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ131-10 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.08/0.36 % Computer : n020.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 : Thu Sep 24 07:00:48 UTC 2026
% 0.12/0.36 % CPUTime :
% 0.12/0.36 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.12/0.40 Running UEQ theorem proving
% 0.12/0.40 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s ueq_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.41
% 0.12/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.12/0.41
% 0.12/0.41 % Detected problem language: tptp
% 0.12/0.42 % Proving...
% 2.27/1.17 WARNING - Clausifier option not provided in the heuristic config "heur/vip2_118404", setting default options.
% 2.27/1.17 % SZS status Started for theBenchmark.p
% 2.27/1.17 % SZS status Unsatisfiable for theBenchmark.p
% 2.27/1.17
% 2.27/1.17 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.27/1.17
% 2.27/1.17 % ------ iProver source info
% 2.27/1.17
% 2.27/1.17 % git: date: 2026-07-19 20:42:38 +0200
% 2.27/1.17 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.27/1.17 % git: non_committed_changes: false
% 2.27/1.17
% 2.27/1.17 % ------ Parsing...% successful
% 2.27/1.17
% 2.27/1.17
% 2.27/1.17 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 2.27/1.17
% 2.27/1.17 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e %
% 2.27/1.17
% 2.27/1.17 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 2.27/1.17
% 2.27/1.17 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 2.27/1.17 % ------ Proving...
% 2.27/1.17 % ------ Problem Properties
% 2.27/1.17
% 2.27/1.17 %
% 2.27/1.17 % clauses 30
% 2.27/1.17 % conjectures 21
% 2.27/1.17 % EPR 9
% 2.27/1.17 % Horn 30
% 2.27/1.17 % unary 30
% 2.27/1.17 % binary 0
% 2.27/1.17 % lits 30
% 2.27/1.17 % lits eq 30
% 2.27/1.17 % fd_pure 0
% 2.27/1.17 % fd_pseudo 0
% 2.27/1.17 % fd_cond 0
% 2.27/1.17 % fd_pseudo_cond 0
% 2.27/1.17 % AC symbols 0
% 2.27/1.17
% 2.27/1.17 % ------ Input Options Time Limit: Unbounded
% 2.27/1.17
% 2.27/1.17
% 2.27/1.17 % ------
% 2.27/1.17 % Current options:
% 2.27/1.17 % ------
% 2.27/1.17
% 2.27/1.17
% 2.27/1.17 %
% 2.27/1.17
% 2.27/1.17 % ------ Proving...
% 2.27/1.17 %
% 2.27/1.17
% 2.27/1.17 % SZS status Unsatisfiable for theBenchmark.p
% 2.27/1.17
% 2.27/1.17 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.27/1.17
% 2.27/1.17
%------------------------------------------------------------------------------