%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : PUZ131_1 : TPTP v9.3.1. Released v5.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n009.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 02:33:01 PM UTC 2026
% Result : Theorem 1.35s 1.31s
% Output : CNFRefutation 1.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 5
% Syntax : Number of formulae : 25 ( 17 unt; 0 typ; 0 def)
% Number of atoms : 72 ( 10 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 38 ( 23 ~; 13 |; 0 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 32 ( 32 fml; 0 var)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 11 ( 9 usr; 6 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 1 con; 0-1 aty)
% Number of variables : 21 ( 0 sgn 21 !; 0 ?; 21 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_0,type,
michael: student ).
tff(pred_def_1,type,
enrolled: ( course * student ) > $o ).
tff(pred_def_2,type,
teaches: ( course * professor ) > $o ).
tff(pred_def_3,type,
taughtby: ( professor * student ) > $o ).
tff(func_def_4,type,
sK0: student > course ).
tff(func_def_5,type,
sK1: professor > course ).
tff(func_def_6,type,
sK2: course > student ).
tff(func_def_7,type,
sK3: course > professor ).
tff(f5,axiom,
! [X0: course] : teaches(coordinatorof(X0),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',coordinator_teaches) ).
tff(f6,axiom,
! [X0: student,X1: course] :
( enrolled(X0,X1)
=> ! [X2: professor] :
( teaches(X2,X1)
=> taughtby(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',student_enrolled_taught) ).
tff(f7,axiom,
enrolled(michael,csc410),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',michael_enrolled_csc410) ).
tff(f8,axiom,
coordinatorof(csc410) = victor,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',victor_coordinator_csc410) ).
tff(f9,conjecture,
taughtby(michael,victor),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',teaching_conjecture) ).
tff(f10,negated_conjecture,
~ taughtby(michael,victor),
inference(negated_conjecture,[status(cth)],[f9]) ).
tff(f11,plain,
~ taughtby(michael,victor),
inference(flattening,[],[f10]) ).
tff(f12,plain,
! [X0: student,X1: course] :
( ~ enrolled(X0,X1)
| ! [X2: professor] :
( ~ teaches(X2,X1)
| taughtby(X0,X2) ) ),
inference(ennf_transformation,[],[f6]) ).
tff(f21,plain,
! [X0: course] : teaches(coordinatorof(X0),X0),
inference(cnf_transformation,[],[f5]) ).
tff(f22,plain,
! [X2: professor,X0: student,X1: course] :
( ~ enrolled(X0,X1)
| ~ teaches(X2,X1)
| taughtby(X0,X2) ),
inference(cnf_transformation,[],[f12]) ).
tff(f23,plain,
enrolled(michael,csc410),
inference(cnf_transformation,[],[f7]) ).
tff(f24,plain,
coordinatorof(csc410) = victor,
inference(cnf_transformation,[],[f8]) ).
tff(f25,plain,
~ taughtby(michael,victor),
inference(cnf_transformation,[],[f11]) ).
tcf(c_53,plain,
! [X0_course: course] : teaches(coordinatorof(X0_course),X0_course),
inference(cnf_transformation,[],[f21]) ).
tcf(c_54,plain,
! [X0_student: student,X0_professor: professor,X0_course: course] :
( taughtby(X0_student,X0_professor)
| ~ teaches(X0_professor,X0_course)
| ~ enrolled(X0_student,X0_course) ),
inference(cnf_transformation,[],[f22]) ).
tcf(c_55,plain,
enrolled(michael,csc410),
inference(cnf_transformation,[],[f23]) ).
tcf(c_56,plain,
coordinatorof(csc410) = victor,
inference(cnf_transformation,[],[f24]) ).
tcf(c_57,negated_conjecture,
~ taughtby(michael,victor),
inference(cnf_transformation,[],[f25]) ).
tcf(c_89,plain,
! [X0_student: student,X0_professor: professor,X0_course: course] :
( ~ teaches(X0_professor,X0_course)
| ~ enrolled(X0_student,X0_course)
| ( X0_professor != victor )
| ( X0_student != michael ) ),
inference(resolution_lifted,[status(thm)],[c_54,c_57]) ).
tcf(c_90,plain,
! [X0_course: course] :
( ~ teaches(victor,X0_course)
| ~ enrolled(michael,X0_course) ),
inference(unflattening,[status(thm)],[c_89]) ).
tcf(c_114,plain,
! [X0_course: course] :
( ~ teaches(victor,X0_course)
| ( michael != michael )
| ( X0_course != csc410 ) ),
inference(resolution_lifted,[status(thm)],[c_55,c_90]) ).
tcf(c_115,plain,
~ teaches(victor,csc410),
inference(unflattening,[status(thm)],[c_114]) ).
tcf(c_156,plain,
! [X0_course: course] :
( ( X0_course != csc410 )
| ( coordinatorof(X0_course) != victor ) ),
inference(resolution_lifted,[status(thm)],[c_53,c_115]) ).
tcf(c_157,plain,
coordinatorof(csc410) != victor,
inference(unflattening,[status(thm)],[c_156]) ).
tcf(c_158,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_157,c_56]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ131_1 : TPTP v9.3.1. Released v5.0.0.
% 0.00/0.05 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.12/0.38 % Computer : n009.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Thu Sep 24 06:59:44 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.12/0.42 Running first-order theorem proving
% 0.12/0.42 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.44
% 0.12/0.44 % ======== iProver multi-core TPTP/SMT =========
% 0.12/0.44
% 0.12/0.44 % Detected problem language: tptp
% 0.12/0.45 % Proving...
% 1.35/1.31 % SZS status Started for theBenchmark.p
% 1.35/1.31 % SZS status Theorem for theBenchmark.p
% 1.35/1.31
% 1.35/1.31 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.35/1.31
% 1.35/1.31 % ------ iProver source info
% 1.35/1.31
% 1.35/1.31 % git: date: 2026-07-19 20:42:38 +0200
% 1.35/1.31 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.35/1.31 % git: non_committed_changes: false
% 1.35/1.31
% 1.35/1.31 % ------ Parsing...
% 1.35/1.31 % ------ Clausification by vclausify_rel & Parsing by iProver...% ------ preprocesses with Global Options Modified: tff_prep: switching off prep_sem_filter, sub_typing, pure_diseq_elim
% 1.35/1.31 %
% 1.35/1.31
% 1.35/1.31 % ------ Preprocessing... sup_sim: 0 pe_s pe:1:0s pe:2:0s%
% 1.35/1.31
% 1.35/1.31 % SZS status Theorem for theBenchmark.p
% 1.35/1.31
% 1.35/1.31 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.35/1.31
% 1.35/1.31
%------------------------------------------------------------------------------