TSTP Solution File: PUZ131-10 by Otter---3.3
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%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : PUZ131-10 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n021.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Jul 27 13:11:40 EDT 2022
% Result : Unsatisfiable 1.76s 1.98s
% Output : Refutation 1.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 9
% Syntax : Number of clauses : 13 ( 13 unt; 0 nHn; 9 RR)
% Number of literals : 13 ( 12 equ; 1 neg)
% Maximal clause size : 1 ( 1 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 : 8 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
taughtby(michael,victor) != true,
file('PUZ131-10.p',unknown),
[] ).
cnf(4,axiom,
ife_q(A,A,B,C) = B,
file('PUZ131-10.p',unknown),
[] ).
cnf(12,axiom,
student(michael) = true,
file('PUZ131-10.p',unknown),
[] ).
cnf(14,axiom,
professor(victor) = true,
file('PUZ131-10.p',unknown),
[] ).
cnf(16,axiom,
course(csc410) = true,
file('PUZ131-10.p',unknown),
[] ).
cnf(35,axiom,
ife_q(course(A),true,teaches(coordinatorof(A),A),true) = true,
file('PUZ131-10.p',unknown),
[] ).
cnf(37,axiom,
ife_q(teaches(A,B),true,ife_q(enrolled(C,B),true,ife_q(course(B),true,ife_q(professor(A),true,ife_q(student(C),true,taughtby(C,A),true),true),true),true),true) = true,
file('PUZ131-10.p',unknown),
[] ).
cnf(39,axiom,
enrolled(michael,csc410) = true,
file('PUZ131-10.p',unknown),
[] ).
cnf(42,axiom,
coordinatorof(csc410) = victor,
file('PUZ131-10.p',unknown),
[] ).
cnf(201,plain,
teaches(victor,csc410) = true,
inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[35,16]),42,4]),
[iquote('para_into,35.1.1.1,15.1.1,demod,42,4')] ).
cnf(217,plain,
ife_q(enrolled(A,csc410),true,ife_q(student(A),true,taughtby(A,victor),true),true) = true,
inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[37,201]),16,14,4,4,4]),
[iquote('para_into,37.1.1.1,201.1.1,demod,16,14,4,4,4')] ).
cnf(517,plain,
taughtby(michael,victor) = true,
inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[217,39]),12,4,4]),
[iquote('para_into,217.1.1.1,39.1.1,demod,12,4,4')] ).
cnf(519,plain,
$false,
inference(binary,[status(thm)],[517,1]),
[iquote('binary,517.1,1.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : PUZ131-10 : TPTP v8.1.0. Released v7.5.0.
% 0.12/0.13 % Command : otter-tptp-script %s
% 0.13/0.35 % Computer : n021.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Wed Jul 27 01:43:23 EDT 2022
% 0.13/0.35 % CPUTime :
% 1.76/1.96 ----- Otter 3.3f, August 2004 -----
% 1.76/1.96 The process was started by sandbox2 on n021.cluster.edu,
% 1.76/1.96 Wed Jul 27 01:43:23 2022
% 1.76/1.96 The command was "./otter". The process ID is 28890.
% 1.76/1.96
% 1.76/1.96 set(prolog_style_variables).
% 1.76/1.96 set(auto).
% 1.76/1.96 dependent: set(auto1).
% 1.76/1.96 dependent: set(process_input).
% 1.76/1.96 dependent: clear(print_kept).
% 1.76/1.96 dependent: clear(print_new_demod).
% 1.76/1.96 dependent: clear(print_back_demod).
% 1.76/1.96 dependent: clear(print_back_sub).
% 1.76/1.96 dependent: set(control_memory).
% 1.76/1.96 dependent: assign(max_mem, 12000).
% 1.76/1.96 dependent: assign(pick_given_ratio, 4).
% 1.76/1.96 dependent: assign(stats_level, 1).
% 1.76/1.96 dependent: assign(max_seconds, 10800).
% 1.76/1.96 clear(print_given).
% 1.76/1.96
% 1.76/1.96 list(usable).
% 1.76/1.96 0 [] A=A.
% 1.76/1.96 0 [] ife_q(A,A,B,C)=B.
% 1.76/1.96 0 [] student(sK7_student_type_A)=true.
% 1.76/1.96 0 [] professor(sK6_professor_type_A)=true.
% 1.76/1.96 0 [] course(sK5_course_type_A)=true.
% 1.76/1.96 0 [] student(michael)=true.
% 1.76/1.96 0 [] professor(victor)=true.
% 1.76/1.96 0 [] course(csc410)=true.
% 1.76/1.96 0 [] ife_q(course(A),true,professor(coordinatorof(A)),true)=true.
% 1.76/1.96 0 [] ife_q(student(X),true,enrolled(X,sK4_student_enrolled_axiom_Y(X)),true)=true.
% 1.76/1.96 0 [] ife_q(student(X),true,course(sK4_student_enrolled_axiom_Y(X)),true)=true.
% 1.76/1.96 0 [] ife_q(professor(X),true,teaches(X,sK3_professor_teaches_Y(X)),true)=true.
% 1.76/1.96 0 [] ife_q(professor(X),true,course(sK3_professor_teaches_Y(X)),true)=true.
% 1.76/1.96 0 [] ife_q(course(X),true,enrolled(sK2_course_enrolled_Y(X),X),true)=true.
% 1.76/1.96 0 [] ife_q(course(X),true,student(sK2_course_enrolled_Y(X)),true)=true.
% 1.76/1.96 0 [] ife_q(course(X),true,teaches(sK1_course_teaches_Y(X),X),true)=true.
% 1.76/1.96 0 [] ife_q(course(X),true,professor(sK1_course_teaches_Y(X)),true)=true.
% 1.76/1.96 0 [] ife_q(course(X),true,teaches(coordinatorof(X),X),true)=true.
% 1.76/1.96 0 [] ife_q(teaches(Z,Y),true,ife_q(enrolled(X,Y),true,ife_q(course(Y),true,ife_q(professor(Z),true,ife_q(student(X),true,taughtby(X,Z),true),true),true),true),true)=true.
% 1.76/1.96 0 [] enrolled(michael,csc410)=true.
% 1.76/1.96 0 [] coordinatorof(csc410)=victor.
% 1.76/1.96 0 [] taughtby(michael,victor)!=true.
% 1.76/1.96 end_of_list.
% 1.76/1.96
% 1.76/1.96 SCAN INPUT: prop=0, horn=1, equality=1, symmetry=0, max_lits=1.
% 1.76/1.96
% 1.76/1.96 All clauses are units, and equality is present; the
% 1.76/1.96 strategy will be Knuth-Bendix with positive clauses in sos.
% 1.76/1.96
% 1.76/1.96 dependent: set(knuth_bendix).
% 1.76/1.96 dependent: set(anl_eq).
% 1.76/1.96 dependent: set(para_from).
% 1.76/1.96 dependent: set(para_into).
% 1.76/1.96 dependent: clear(para_from_right).
% 1.76/1.96 dependent: clear(para_into_right).
% 1.76/1.96 dependent: set(para_from_vars).
% 1.76/1.96 dependent: set(eq_units_both_ways).
% 1.76/1.96 dependent: set(dynamic_demod_all).
% 1.76/1.96 dependent: set(dynamic_demod).
% 1.76/1.96 dependent: set(order_eq).
% 1.76/1.96 dependent: set(back_demod).
% 1.76/1.96 dependent: set(lrpo).
% 1.76/1.96
% 1.76/1.96 ------------> process usable:
% 1.76/1.96 ** KEPT (pick-wt=5): 1 [] taughtby(michael,victor)!=true.
% 1.76/1.96
% 1.76/1.96 ------------> process sos:
% 1.76/1.96 ** KEPT (pick-wt=3): 2 [] A=A.
% 1.76/1.96 ** KEPT (pick-wt=7): 3 [] ife_q(A,A,B,C)=B.
% 1.76/1.96 ---> New Demodulator: 4 [new_demod,3] ife_q(A,A,B,C)=B.
% 1.76/1.96 ** KEPT (pick-wt=4): 5 [] student(sK7_student_type_A)=true.
% 1.76/1.96 ---> New Demodulator: 6 [new_demod,5] student(sK7_student_type_A)=true.
% 1.76/1.96 ** KEPT (pick-wt=4): 7 [] professor(sK6_professor_type_A)=true.
% 1.76/1.96 ---> New Demodulator: 8 [new_demod,7] professor(sK6_professor_type_A)=true.
% 1.76/1.96 ** KEPT (pick-wt=4): 9 [] course(sK5_course_type_A)=true.
% 1.76/1.96 ---> New Demodulator: 10 [new_demod,9] course(sK5_course_type_A)=true.
% 1.76/1.96 ** KEPT (pick-wt=4): 11 [] student(michael)=true.
% 1.76/1.96 ---> New Demodulator: 12 [new_demod,11] student(michael)=true.
% 1.76/1.96 ** KEPT (pick-wt=4): 13 [] professor(victor)=true.
% 1.76/1.96 ---> New Demodulator: 14 [new_demod,13] professor(victor)=true.
% 1.76/1.96 ** KEPT (pick-wt=4): 15 [] course(csc410)=true.
% 1.76/1.96 ---> New Demodulator: 16 [new_demod,15] course(csc410)=true.
% 1.76/1.96 ** KEPT (pick-wt=10): 17 [] ife_q(course(A),true,professor(coordinatorof(A)),true)=true.
% 1.76/1.96 ---> New Demodulator: 18 [new_demod,17] ife_q(course(A),true,professor(coordinatorof(A)),true)=true.
% 1.76/1.96 ** KEPT (pick-wt=11): 19 [] ife_q(student(A),true,enrolled(A,sK4_student_enrolled_axiom_Y(A)),true)=true.
% 1.76/1.96 ---> New Demodulator: 20 [new_demod,19] ife_q(student(A),true,enrolled(A,sK4_student_enrolled_axiom_Y(A)),true)=true.
% 1.76/1.96 ** KEPT (pick-wt=10): 21 [] ife_q(student(A),true,course(sK4_student_enrolled_axiom_Y(A)),true)=true.
% 1.76/1.96 ---> New Demodulator: 22 [new_demod,21] ife_q(student(A),true,course(sK4_student_enrolled_axiom_Y(A)),true)=true.
% 1.76/1.98 ** KEPT (pick-wt=11): 23 [] ife_q(professor(A),true,teaches(A,sK3_professor_teaches_Y(A)),true)=true.
% 1.76/1.98 ---> New Demodulator: 24 [new_demod,23] ife_q(professor(A),true,teaches(A,sK3_professor_teaches_Y(A)),true)=true.
% 1.76/1.98 ** KEPT (pick-wt=10): 25 [] ife_q(professor(A),true,course(sK3_professor_teaches_Y(A)),true)=true.
% 1.76/1.98 ---> New Demodulator: 26 [new_demod,25] ife_q(professor(A),true,course(sK3_professor_teaches_Y(A)),true)=true.
% 1.76/1.98 ** KEPT (pick-wt=11): 27 [] ife_q(course(A),true,enrolled(sK2_course_enrolled_Y(A),A),true)=true.
% 1.76/1.98 ---> New Demodulator: 28 [new_demod,27] ife_q(course(A),true,enrolled(sK2_course_enrolled_Y(A),A),true)=true.
% 1.76/1.98 ** KEPT (pick-wt=10): 29 [] ife_q(course(A),true,student(sK2_course_enrolled_Y(A)),true)=true.
% 1.76/1.98 ---> New Demodulator: 30 [new_demod,29] ife_q(course(A),true,student(sK2_course_enrolled_Y(A)),true)=true.
% 1.76/1.98 ** KEPT (pick-wt=11): 31 [] ife_q(course(A),true,teaches(sK1_course_teaches_Y(A),A),true)=true.
% 1.76/1.98 ---> New Demodulator: 32 [new_demod,31] ife_q(course(A),true,teaches(sK1_course_teaches_Y(A),A),true)=true.
% 1.76/1.98 ** KEPT (pick-wt=10): 33 [] ife_q(course(A),true,professor(sK1_course_teaches_Y(A)),true)=true.
% 1.76/1.98 ---> New Demodulator: 34 [new_demod,33] ife_q(course(A),true,professor(sK1_course_teaches_Y(A)),true)=true.
% 1.76/1.98 ** KEPT (pick-wt=11): 35 [] ife_q(course(A),true,teaches(coordinatorof(A),A),true)=true.
% 1.76/1.98 ---> New Demodulator: 36 [new_demod,35] ife_q(course(A),true,teaches(coordinatorof(A),A),true)=true.
% 1.76/1.98 ** KEPT (pick-wt=32): 37 [] ife_q(teaches(A,B),true,ife_q(enrolled(C,B),true,ife_q(course(B),true,ife_q(professor(A),true,ife_q(student(C),true,taughtby(C,A),true),true),true),true),true)=true.
% 1.76/1.98 ---> New Demodulator: 38 [new_demod,37] ife_q(teaches(A,B),true,ife_q(enrolled(C,B),true,ife_q(course(B),true,ife_q(professor(A),true,ife_q(student(C),true,taughtby(C,A),true),true),true),true),true)=true.
% 1.76/1.98 ** KEPT (pick-wt=5): 39 [] enrolled(michael,csc410)=true.
% 1.76/1.98 ---> New Demodulator: 40 [new_demod,39] enrolled(michael,csc410)=true.
% 1.76/1.98 ** KEPT (pick-wt=4): 41 [] coordinatorof(csc410)=victor.
% 1.76/1.98 ---> New Demodulator: 42 [new_demod,41] coordinatorof(csc410)=victor.
% 1.76/1.98 Following clause subsumed by 2 during input processing: 0 [copy,2,flip.1] A=A.
% 1.76/1.98 >>>> Starting back demodulation with 4.
% 1.76/1.98 >>>> Starting back demodulation with 6.
% 1.76/1.98 >>>> Starting back demodulation with 8.
% 1.76/1.98 >>>> Starting back demodulation with 10.
% 1.76/1.98 >>>> Starting back demodulation with 12.
% 1.76/1.98 >>>> Starting back demodulation with 14.
% 1.76/1.98 >>>> Starting back demodulation with 16.
% 1.76/1.98 >>>> Starting back demodulation with 18.
% 1.76/1.98 >>>> Starting back demodulation with 20.
% 1.76/1.98 >>>> Starting back demodulation with 22.
% 1.76/1.98 >>>> Starting back demodulation with 24.
% 1.76/1.98 >>>> Starting back demodulation with 26.
% 1.76/1.98 >>>> Starting back demodulation with 28.
% 1.76/1.98 >>>> Starting back demodulation with 30.
% 1.76/1.98 >>>> Starting back demodulation with 32.
% 1.76/1.98 >>>> Starting back demodulation with 34.
% 1.76/1.98 >>>> Starting back demodulation with 36.
% 1.76/1.98 >>>> Starting back demodulation with 38.
% 1.76/1.98 >>>> Starting back demodulation with 40.
% 1.76/1.98 >>>> Starting back demodulation with 42.
% 1.76/1.98
% 1.76/1.98 ======= end of input processing =======
% 1.76/1.98
% 1.76/1.98 =========== start of search ===========
% 1.76/1.98
% 1.76/1.98
% 1.76/1.98 Resetting weight limit to 7.
% 1.76/1.98
% 1.76/1.98
% 1.76/1.98 Resetting weight limit to 7.
% 1.76/1.98
% 1.76/1.98 sos_size=177
% 1.76/1.98
% 1.76/1.98 -------- PROOF --------
% 1.76/1.98
% 1.76/1.98 ----> UNIT CONFLICT at 0.01 sec ----> 519 [binary,517.1,1.1] $F.
% 1.76/1.98
% 1.76/1.98 Length of proof is 3. Level of proof is 3.
% 1.76/1.98
% 1.76/1.98 ---------------- PROOF ----------------
% 1.76/1.98 % SZS status Unsatisfiable
% 1.76/1.98 % SZS output start Refutation
% See solution above
% 1.76/1.98 ------------ end of proof -------------
% 1.76/1.98
% 1.76/1.98
% 1.76/1.98 Search stopped by max_proofs option.
% 1.76/1.98
% 1.76/1.98
% 1.76/1.98 Search stopped by max_proofs option.
% 1.76/1.98
% 1.76/1.98 ============ end of search ============
% 1.76/1.98
% 1.76/1.98 -------------- statistics -------------
% 1.76/1.98 clauses given 151
% 1.76/1.98 clauses generated 872
% 1.76/1.98 clauses kept 260
% 1.76/1.98 clauses forward subsumed 430
% 1.76/1.98 clauses back subsumed 0
% 1.76/1.98 Kbytes malloced 4882
% 1.76/1.98
% 1.76/1.98 ----------- times (seconds) -----------
% 1.76/1.98 user CPU time 0.01 (0 hr, 0 min, 0 sec)
% 1.76/1.98 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.76/1.98 wall-clock time 1 (0 hr, 0 min, 1 sec)
% 1.76/1.98
% 1.76/1.98 That finishes the proof of the theorem.
% 1.76/1.98
% 1.76/1.98 Process 28890 finished Wed Jul 27 01:43:24 2022
% 1.76/1.98 Otter interrupted
% 1.76/1.98 PROOF FOUND
%------------------------------------------------------------------------------