%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : PUZ131+1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 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 : Fri Sep 25 02:33:01 PM UTC 2026
% Result : Theorem 1.23s 1.28s
% Output : CNFRefutation 1.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 8
% Syntax : Number of formulae : 36 ( 21 unt; 0 def)
% Number of atoms : 85 ( 9 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 102 ( 53 ~; 43 |; 1 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% 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 : 27 ( 0 sgn 27 !; 0 ?; 12 :)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
student(michael),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',michael_type) ).
fof(f5,axiom,
professor(victor),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',victor_type) ).
fof(f6,axiom,
course(csc410),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',csc410_type) ).
fof(f12,axiom,
! [X0] :
( course(X0)
=> teaches(coordinatorof(X0),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',coordinator_teaches) ).
fof(f13,axiom,
! [X0,X1] :
( ( course(X1)
& student(X0) )
=> ( enrolled(X0,X1)
=> ! [X2] :
( professor(X2)
=> ( teaches(X2,X1)
=> taughtby(X0,X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',student_enrolled_taught) ).
fof(f14,axiom,
enrolled(michael,csc410),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',michael_enrolled_csc410_axiom) ).
fof(f15,axiom,
coordinatorof(csc410) = victor,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',victor_coordinator_csc410_axiom) ).
fof(f16,conjecture,
taughtby(michael,victor),
file('/export/starexec/sandbox/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] :
( ~ course(X0)
| teaches(coordinatorof(X0),X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f25,plain,
! [X0,X1] :
( ~ course(X1)
| ~ student(X0)
| ~ enrolled(X0,X1)
| ! [X2] :
( ~ professor(X2)
| ~ teaches(X2,X1)
| taughtby(X0,X2) ) ),
inference(ennf_transformation,[],[f13]) ).
fof(f26,plain,
! [X0,X1] :
( ~ course(X1)
| ~ student(X0)
| ~ enrolled(X0,X1)
| ! [X2] :
( ~ professor(X2)
| ~ teaches(X2,X1)
| taughtby(X0,X2) ) ),
inference(flattening,[],[f25]) ).
fof(f37,plain,
student(michael),
inference(cnf_transformation,[],[f4]) ).
fof(f38,plain,
professor(victor),
inference(cnf_transformation,[],[f5]) ).
fof(f39,plain,
course(csc410),
inference(cnf_transformation,[],[f6]) ).
fof(f49,plain,
! [X0] :
( ~ course(X0)
| teaches(coordinatorof(X0),X0) ),
inference(cnf_transformation,[],[f24]) ).
fof(f50,plain,
! [X2,X0,X1] :
( ~ course(X1)
| ~ student(X0)
| ~ enrolled(X0,X1)
| ~ professor(X2)
| ~ teaches(X2,X1)
| taughtby(X0,X2) ),
inference(cnf_transformation,[],[f26]) ).
fof(f51,plain,
enrolled(michael,csc410),
inference(cnf_transformation,[],[f14]) ).
fof(f52,plain,
victor = coordinatorof(csc410),
inference(cnf_transformation,[],[f15]) ).
fof(f53,plain,
~ taughtby(michael,victor),
inference(cnf_transformation,[],[f18]) ).
tcf(c_52,plain,
student(michael),
inference(cnf_transformation,[],[f37]) ).
tcf(c_53,plain,
professor(victor),
inference(cnf_transformation,[],[f38]) ).
tcf(c_54,plain,
course(csc410),
inference(cnf_transformation,[],[f39]) ).
tcf(c_64,plain,
! [X0: $i] :
( teaches(coordinatorof(X0),X0)
| ~ course(X0) ),
inference(cnf_transformation,[],[f49]) ).
tcf(c_65,plain,
! [X0: $i,X1: $i,X2: $i] :
( taughtby(X0,X2)
| ~ course(X1)
| ~ professor(X2)
| ~ student(X0)
| ~ teaches(X2,X1)
| ~ enrolled(X0,X1) ),
inference(cnf_transformation,[],[f50]) ).
tcf(c_66,plain,
enrolled(michael,csc410),
inference(cnf_transformation,[],[f51]) ).
tcf(c_67,plain,
coordinatorof(csc410) = victor,
inference(cnf_transformation,[],[f52]) ).
tcf(c_68,negated_conjecture,
~ taughtby(michael,victor),
inference(cnf_transformation,[],[f53]) ).
tcf(c_210,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ course(X2)
| ~ professor(X1)
| ~ student(X0)
| ~ teaches(X1,X2)
| ~ enrolled(X0,X2)
| ( X1 != victor )
| ( X0 != michael ) ),
inference(resolution_lifted,[status(thm)],[c_65,c_68]) ).
tcf(c_211,plain,
! [X0: $i] :
( ~ professor(victor)
| ~ student(michael)
| ~ course(X0)
| ~ teaches(victor,X0)
| ~ enrolled(michael,X0) ),
inference(unflattening,[status(thm)],[c_210]) ).
tcf(c_213,plain,
! [X0: $i] :
( ~ course(X0)
| ~ teaches(victor,X0)
| ~ enrolled(michael,X0) ),
inference(global_subsumption_just,[status(thm)],[c_211,c_53,c_52,c_211]) ).
tcf(c_296,plain,
! [X0: $i,X1: $i] :
( ~ course(X1)
| ~ course(X0)
| ~ enrolled(michael,X1)
| ( X0 != X1 )
| ( coordinatorof(X0) != victor ) ),
inference(resolution_lifted,[status(thm)],[c_64,c_213]) ).
tcf(c_297,plain,
! [X0: $i] :
( ~ course(X0)
| ~ enrolled(michael,X0)
| ( coordinatorof(X0) != victor ) ),
inference(unflattening,[status(thm)],[c_296]) ).
tcf(c_298,plain,
( ~ course(csc410)
| ~ enrolled(michael,csc410)
| ( coordinatorof(csc410) != victor ) ),
inference(instantiation,[status(thm)],[c_297]) ).
tcf(c_299,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_298,c_67,c_66,c_54]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : PUZ131+1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.03 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.08/0.36 % Computer : n006.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 06:59:43 UTC 2026
% 0.08/0.37 % CPUTime :
% 0.08/0.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.08/0.41 Running first-order theorem proving
% 0.08/0.41 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
% 0.08/0.42
% 0.08/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.08/0.42
% 0.08/0.42 % Detected problem language: tptp
% 0.08/0.43 % Proving...
% 1.23/1.28 % SZS status Started for theBenchmark.p
% 1.23/1.28 % SZS status Theorem for theBenchmark.p
% 1.23/1.28
% 1.23/1.28 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.23/1.28
% 1.23/1.28 % ------ iProver source info
% 1.23/1.28
% 1.23/1.28 % git: date: 2026-07-19 20:42:38 +0200
% 1.23/1.28 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.23/1.28 % git: non_committed_changes: false
% 1.23/1.28
% 1.23/1.28 % ------ Parsing...
% 1.23/1.28 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.23/1.28
% 1.23/1.28 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s%
% 1.23/1.28
% 1.23/1.28 % SZS status Theorem for theBenchmark.p
% 1.23/1.28
% 1.23/1.28 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.23/1.28
% 1.23/1.28
%------------------------------------------------------------------------------