TSTP Solution File: PUZ131-10 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : PUZ131-10 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n029.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 : Sat Jul 23 06:14:30 EDT 2022
% Result : Unsatisfiable 1.53s 1.70s
% Output : Refutation 1.53s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : PUZ131-10 : TPTP v8.1.0. Released v7.5.0.
% 0.11/0.13 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.34 % Computer : n029.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Fri Jul 22 07:14:33 EDT 2022
% 0.12/0.34 % CPUTime :
% 1.53/1.70 GeoParameters:
% 1.53/1.70
% 1.53/1.70 tptp_input = 1
% 1.53/1.70 tptp_output = 0
% 1.53/1.70 nonempty = 1
% 1.53/1.70 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.53/1.70 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 1.53/1.70
% 1.53/1.70
% 1.53/1.70 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.53/1.70 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.53/1.70
% 1.53/1.70 RuleSystem INPUT:
% 1.53/1.70
% 1.53/1.70 Initial Rules:
% 1.53/1.70 #0: input, references = 4, size of lhs = 2:
% 1.53/1.70 P_ifeq-{F}(V0,V0,V1,V2,V3), V3 == V1 | FALSE
% 1.53/1.70 (used 0 times, uses = {})
% 1.53/1.70
% 1.53/1.70 #1: input, references = 4, size of lhs = 4:
% 1.53/1.70 P_sK7_student_type_A-{F}(V0), P_student-{F}(V0,V1), P_true-{F}(V2), V1 == V2 | FALSE
% 1.53/1.70 (used 0 times, uses = {})
% 1.53/1.70
% 1.53/1.70 #2: input, references = 4, size of lhs = 6:
% 1.53/1.70 P_sK7_student_type_A-{F}(V0), P_student-{F}(V0,V1), P_true-{F}(V2), P_sK6_professor_type_A-{F}(V3), P_professor-{F}(V3,V4), V4 == V2 | FALSE
% 1.53/1.70 (used 0 times, uses = {})
% 1.53/1.70
% 1.53/1.70 #3: input, references = 4, size of lhs = 8:
% 1.53/1.70 P_sK7_student_type_A-{F}(V0), P_student-{F}(V0,V1), P_true-{F}(V2), P_sK6_professor_type_A-{F}(V3), P_professor-{F}(V3,V4), P_sK5_course_type_A-{F}(V5), P_course-{F}(V5,V6), V6 == V2 | FALSE
% 1.53/1.70 (used 0 times, uses = {})
% 1.53/1.70
% 1.53/1.70 #4: input, references = 4, size of lhs = 10:
% 1.53/1.70 P_sK7_student_type_A-{F}(V0), P_student-{F}(V0,V1), P_true-{F}(V2), P_sK6_professor_type_A-{F}(V3), P_professor-{F}(V3,V4), P_sK5_course_type_A-{F}(V5), P_course-{F}(V5,V6), P_michael-{F}(V7), P_student-{F}(V7,V8), V8 == V2 | FALSE
% 1.53/1.70 (used 0 times, uses = {})
% 1.53/1.70
% 1.53/1.70 #5: input, references = 4, size of lhs = 12:
% 1.53/1.70 P_sK7_student_type_A-{F}(V0), P_student-{F}(V0,V1), P_true-{F}(V2), P_sK6_professor_type_A-{F}(V3), P_professor-{F}(V3,V4), P_sK5_course_type_A-{F}(V5), P_course-{F}(V5,V6), P_michael-{F}(V7), P_student-{F}(V7,V8), P_victor-{F}(V9), P_professor-{F}(V9,V10), V10 == V2 | FALSE
% 1.53/1.70 (used 0 times, uses = {})
% 1.53/1.70
% 1.53/1.70 #6: input, references = 4, size of lhs = 14:
% 1.53/1.70 P_sK7_student_type_A-{F}(V0), P_student-{F}(V0,V1), P_true-{F}(V2), P_sK6_professor_type_A-{F}(V3), P_professor-{F}(V3,V4), P_sK5_course_type_A-{F}(V5), P_course-{F}(V5,V6), P_michael-{F}(V7), P_student-{F}(V7,V8), P_victor-{F}(V9), P_professor-{F}(V9,V10), P_csc410-{F}(V11), P_course-{F}(V11,V12), V12 == V2 | FALSE
% 1.53/1.70 (used 0 times, uses = {})
% 1.53/1.70
% 1.53/1.70 #7: input, references = 3, size of lhs = 18:
% 1.53/1.70 P_sK7_student_type_A-{F}(V0), P_student-{F}(V0,V1), P_true-{F}(V2), P_sK6_professor_type_A-{F}(V3), P_professor-{F}(V3,V4), P_sK5_course_type_A-{F}(V5), P_course-{F}(V5,V6), P_michael-{F}(V7), P_student-{F}(V7,V8), P_victor-{F}(V9), P_professor-{F}(V9,V10), P_csc410-{F}(V11), P_course-{F}(V11,V12), P_course-{F}(V13,V14), P_coordinatorof-{F}(V13,V15), P_professor-{F}(V15,V16), P_ifeq-{F}(V14,V2,V16,V2,V17), V17 == V2 | FALSE
% 1.53/1.70 (used 0 times, uses = {})
% 1.53/1.70
% 1.53/1.70 #8: input, references = 3, size of lhs = 18:
% 1.53/1.70 P_sK7_student_type_A-{F}(V0), P_student-{F}(V0,V1), P_true-{F}(V2), P_sK6_professor_type_A-{F}(V3), P_professor-{F}(V3,V4), P_sK5_course_type_A-{F}(V5), P_course-{F}(V5,V6), P_michael-{F}(V7), P_student-{F}(V7,V8), P_victor-{F}(V9), P_professor-{F}(V9,V10), P_csc410-{F}(V11), P_course-{F}(V11,V12), P_student-{F}(V13,V14), P_sK4_student_enrolled_axiom_Y-{F}(V13,V15), P_enrolled-{F}(V13,V15,V16), P_ifeq-{F}(V14,V2,V16,V2,V17), V17 == V2 | FALSE
% 1.53/1.70 (used 0 times, uses = {})
% 1.53/1.70
% 1.53/1.70 #9: input, references = 3, size of lhs = 18:
% 1.53/1.70 P_sK7_student_type_A-{F}(V0), P_student-{F}(V0,V1), P_true-{F}(V2), P_sK6_professor_type_A-{F}(V3), P_professor-{F}(V3,V4), P_sK5_course_type_A-{F}(V5), P_course-{F}(V5,V6), P_michael-{F}(V7), P_student-{F}(V7,V8), P_victor-{F}(V9), P_professor-{F}(V9,V10), P_csc410-{F}(V11), P_course-{F}(V11,V12), P_student-{F}(V13,V14), P_sK4_student_enrolled_axiom_Y-{F}(V13,V15), P_course-{F}(V15,V16), P_ifeq-{F}(V14,V2,V16,V2,V17), V17 == V2 | FALSE
% 1.53/1.70 (used 0 times, uses = {})
% 1.53/1.70
% 1.53/1.70 #10: input, references = 4, size of lhs = 18:
% 1.53/1.70 P_sK7_student_type_A-{F}(V0), P_student-{F}(V0,V1), P_true-{F}(V2), P_sK6_professor_type_A-{F}(V3), P_professor-{F}(V3,V4), P_sK5_course_type_A-{F}(V5), P_course-{F}(V5,V6), P_michael-{F}(V7), P_student-{F}(V7,V8), P_victor-{F}(V9), P_professor-{F}(V9,V10), P_csc410-{F}(V11), P_course-{F}(V11,V12), P_professor-{F}(V13,V14), P_sK3_professor_teaches_Y-{F}(V13,V15), P_teaches-{F}(V13,V15,V16), P_ifeq-{F}(V14,V2,V16,V2,V17), V17 == V2 | FALSE
% 1.53/1.70 (used 0 times, uses = {})
% 1.53/1.70
% 1.53/1.70 #11: input, references = 4, size of lhs = 18:
% 1.53/1.70 P_sK7_student_type_A-{F}(V0), P_student-{F}(V0,V1), P_true-{F}(V2), P_sK6_professor_type_A-{F}(V3), P_professor-{F}(V3,V4), P_sK5_course_type_A-{F}(V5), P_course-{F}(V5,V6), P_michael-{F}(V7), P_student-{F}(V7,V8), P_victor-{F}(V9), P_professor-{F}(V9,V10), P_csc410-{F}(V11), P_course-{F}(V11,V12), P_professor-{F}(V13,V14), P_sK3_professor_teaches_Y-{F}(V13,V15), P_course-{F}(V15,V16), P_ifeq-{F}(V14,V2,V16,V2,V17), V17 == V2 | FALSE
% 1.53/1.70 (used 0 times, uses = {})
% 1.53/1.70
% 1.53/1.70 #12: input, references = 4, size of lhs = 18:
% 1.53/1.70 P_sK7_student_type_A-{F}(V0), P_student-{F}(V0,V1), P_true-{F}(V2), P_sK6_professor_type_A-{F}(V3), P_professor-{F}(V3,V4), P_sK5_course_type_A-{F}(V5), P_course-{F}(V5,V6), P_michael-{F}(V7), P_student-{F}(V7,V8), P_victor-{F}(V9), P_professor-{F}(V9,V10), P_csc410-{F}(V11), P_course-{F}(V11,V12), P_course-{F}(V13,V14), P_sK2_course_enrolled_Y-{F}(V13,V15), P_enrolled-{F}(V15,V13,V16), P_ifeq-{F}(V14,V2,V16,V2,V17), V17 == V2 | FALSE
% 1.53/1.70 (used 0 times, uses = {})
% 1.53/1.70
% 1.53/1.70 #13: input, references = 4, size of lhs = 18:
% 1.53/1.70 P_sK7_student_type_A-{F}(V0), P_student-{F}(V0,V1), P_true-{F}(V2), P_sK6_professor_type_A-{F}(V3), P_professor-{F}(V3,V4), P_sK5_course_type_A-{F}(V5), P_course-{F}(V5,V6), P_michael-{F}(V7), P_student-{F}(V7,V8), P_victor-{F}(V9), P_professor-{F}(V9,V10), P_csc410-{F}(V11), P_course-{F}(V11,V12), P_course-{F}(V13,V14), P_sK2_course_enrolled_Y-{F}(V13,V15), P_student-{F}(V15,V16), P_ifeq-{F}(V14,V2,V16,V2,V17), V17 == V2 | FALSE
% 1.53/1.70 (used 0 times, uses = {})
% 1.53/1.70
% 1.53/1.70 #14: input, references = 4, size of lhs = 18:
% 1.53/1.70 P_sK7_student_type_A-{F}(V0), P_student-{F}(V0,V1), P_true-{F}(V2), P_sK6_professor_type_A-{F}(V3), P_professor-{F}(V3,V4), P_sK5_course_type_A-{F}(V5), P_course-{F}(V5,V6), P_michael-{F}(V7), P_student-{F}(V7,V8), P_victor-{F}(V9), P_professor-{F}(V9,V10), P_csc410-{F}(V11), P_course-{F}(V11,V12), P_course-{F}(V13,V14), P_sK1_course_teaches_Y-{F}(V13,V15), P_teaches-{F}(V15,V13,V16), P_ifeq-{F}(V14,V2,V16,V2,V17), V17 == V2 | FALSE
% 1.53/1.70 (used 0 times, uses = {})
% 1.53/1.70
% 1.53/1.70 #15: input, references = 3, size of lhs = 18:
% 1.53/1.70 P_sK7_student_type_A-{F}(V0), P_student-{F}(V0,V1), P_true-{F}(V2), P_sK6_professor_type_A-{F}(V3), P_professor-{F}(V3,V4), P_sK5_course_type_A-{F}(V5), P_course-{F}(V5,V6), P_michael-{F}(V7), P_student-{F}(V7,V8), P_victor-{F}(V9), P_professor-{F}(V9,V10), P_csc410-{F}(V11), P_course-{F}(V11,V12), P_course-{F}(V13,V14), P_sK1_course_teaches_Y-{F}(V13,V15), P_professor-{F}(V15,V16), P_ifeq-{F}(V14,V2,V16,V2,V17), V17 == V2 | FALSE
% 1.53/1.70 (used 0 times, uses = {})
% 1.53/1.70
% 1.53/1.70 #16: input, references = 5, size of lhs = 18:
% 1.53/1.70 P_sK7_student_type_A-{F}(V0), P_student-{F}(V0,V1), P_true-{F}(V2), P_sK6_professor_type_A-{F}(V3), P_professor-{F}(V3,V4), P_sK5_course_type_A-{F}(V5), P_course-{F}(V5,V6), P_michael-{F}(V7), P_student-{F}(V7,V8), P_victor-{F}(V9), P_professor-{F}(V9,V10), P_csc410-{F}(V11), P_course-{F}(V11,V12), P_course-{F}(V13,V14), P_coordinatorof-{F}(V13,V15), P_teaches-{F}(V15,V13,V16), P_ifeq-{F}(V14,V2,V16,V2,V17), V17 == V2 | FALSE
% 1.53/1.70 (used 0 times, uses = {})
% 1.53/1.70
% 1.53/1.70 #17: input, references = 4, size of lhs = 25:
% 1.53/1.70 P_sK7_student_type_A-{F}(V0), P_student-{F}(V0,V1), P_true-{F}(V2), P_sK6_professor_type_A-{F}(V3), P_professor-{F}(V3,V4), P_sK5_course_type_A-{F}(V5), P_course-{F}(V5,V6), P_michael-{F}(V7), P_student-{F}(V7,V8), P_victor-{F}(V9), P_professor-{F}(V9,V10), P_csc410-{F}(V11), P_course-{F}(V11,V12), P_teaches-{F}(V14,V15,V16), P_enrolled-{F}(V13,V15,V17), P_course-{F}(V15,V18), P_professor-{F}(V14,V19), P_student-{F}(V13,V20), P_taughtby-{F}(V13,V14,V21), P_ifeq-{F}(V20,V2,V21,V2,V22), P_ifeq-{F}(V19,V2,V22,V2,V23), P_ifeq-{F}(V18,V2,V23,V2,V24), P_ifeq-{F}(V17,V2,V24,V2,V25), P_ifeq-{F}(V16,V2,V25,V2,V26), V26 == V2 | FALSE
% 1.53/1.70 (used 0 times, uses = {})
% 1.53/1.70
% 1.53/1.70 #18: input, references = 4, size of lhs = 15:
% 1.53/1.70 P_sK7_student_type_A-{F}(V0), P_student-{F}(V0,V1), P_true-{F}(V2), P_sK6_professor_type_A-{F}(V3), P_professor-{F}(V3,V4), P_sK5_course_type_A-{F}(V5), P_course-{F}(V5,V6), P_michael-{F}(V7), P_student-{F}(V7,V8), P_victor-{F}(V9), P_professor-{F}(V9,V10), P_csc410-{F}(V11), P_course-{F}(V11,V12), P_enrolled-{F}(V7,V11,V13), V13 == V2 | FALSE
% 1.53/1.70 (used 0 times, uses = {})
% 1.53/1.70
% 1.53/1.70 #19: input, references = 4, size of lhs = 16:
% 1.53/1.70 P_sK7_student_type_A-{F}(V0), P_student-{F}(V0,V1), P_true-{F}(V2), P_sK6_professor_type_A-{F}(V3), P_professor-{F}(V3,V4), P_sK5_course_type_A-{F}(V5), P_course-{F}(V5,V6), P_michael-{F}(V7), P_student-{F}(V7,V8), P_victor-{F}(V9), P_professor-{F}(V9,V10), P_csc410-{F}(V11), P_course-{F}(V11,V12), P_enrolled-{F}(V7,V11,V13), P_coordinatorof-{F}(V11,V14), V14 == V9 | FALSE
% 1.53/1.70 (used 0 times, uses = {})
% 1.53/1.70
% 1.53/1.70 #20: input, references = 4, size of lhs = 16:
% 1.53/1.70 P_sK7_student_type_A-{F}(V0), P_student-{F}(V0,V1), P_true-{F}(V2), P_sK6_professor_type_A-{F}(V3), P_professor-{F}(V3,V4), P_sK5_course_type_A-{F}(V5), P_course-{F}(V5,V6), P_michael-{F}(V7), P_student-{F}(V7,V8), P_victor-{F}(V9), P_professor-{F}(V9,V10), P_csc410-{F}(V11), P_course-{F}(V11,V12), P_enrolled-{F}(V7,V11,V13), P_coordinatorof-{F}(V11,V14), P_taughtby-{F}(V7,V9,V2) | FALSE
% 1.53/1.70 (used 0 times, uses = {})
% 1.53/1.70
% 1.53/1.70 #21: input, references = 4, size of lhs = 4:
% 1.53/1.70 #-{F} V0, #-{F} V1, #-{F} V2, #-{F} V3 | EXISTS V4: P_ifeq-{T}(V0,V1,V2,V3,V4)
% 1.53/1.70 (used 0 times, uses = {})
% 1.53/1.70
% 1.53/1.70 #22: input, references = 7, size of lhs = 1:
% 1.53/1.70 #-{F} V0 | EXISTS V1: P_student-{T}(V0,V1)
% 1.53/1.70 (used 0 times, uses = {})
% 1.53/1.70
% 1.53/1.70 #23: input, references = 4, size of lhs = 0:
% 1.53/1.70 FALSE | EXISTS V0: P_sK7_student_type_A-{T}(V0)
% 1.53/1.70 (used 0 times, uses = {})
% 1.53/1.70
% 1.53/1.70 #24: input, references = 4, size of lhs = 0:
% 1.53/1.70 FALSE | EXISTS V0: P_true-{T}(V0)
% 1.53/1.70 (used 0 times, uses = {})
% 1.53/1.70
% 1.53/1.70 #25: input, references = 7, size of lhs = 1:
% 1.53/1.70 #-{F} V0 | EXISTS V1: P_professor-{T}(V0,V1)
% 1.53/1.70 (used 0 times, uses = {})
% 1.53/1.70
% 1.53/1.70 #26: input, references = 4, size of lhs = 0:
% 1.53/1.70 FALSE | EXISTS V0: P_sK6_professor_type_A-{T}(V0)
% 1.53/1.70 (used 0 times, uses = {})
% 1.53/1.70
% 1.53/1.70 #27: input, references = 6, size of lhs = 1:
% 1.53/1.70 #-{F} V0 | EXISTS V1: P_course-{T}(V0,V1)
% 1.53/1.70 (used 0 times, uses = {})
% 1.53/1.70
% 1.53/1.70 #28: input, references = 4, size of lhs = 0:
% 1.53/1.70 FALSE | EXISTS V0: P_sK5_course_type_A-{T}(V0)
% 1.53/1.70 (used 0 times, uses = {})
% 1.53/1.70
% 1.53/1.70 #29: input, references = 4, size of lhs = 0:
% 1.53/1.70 FALSE | EXISTS V0: P_michael-{T}(V0)
% 1.53/1.70 (used 0 times, uses = {})
% 1.53/1.70
% 1.53/1.70 #30: input, references = 4, size of lhs = 0:
% 1.53/1.70 FALSE | EXISTS V0: P_victor-{T}(V0)
% 1.53/1.70 (used 0 times, uses = {})
% 1.53/1.70
% 1.53/1.70 #31: input, references = 4, size of lhs = 0:
% 1.53/1.70 FALSE | EXISTS V0: P_csc410-{T}(V0)
% 1.53/1.70 (used 0 times, uses = {})
% 1.53/1.70
% 1.53/1.70 #32: input, references = 4, size of lhs = 1:
% 1.53/1.70 #-{F} V0 | EXISTS V1: P_coordinatorof-{T}(V0,V1)
% 1.53/1.70 (used 0 times, uses = {})
% 1.53/1.70
% 1.53/1.70 #33: input, references = 5, size of lhs = 2:
% 1.53/1.70 #-{F} V0, #-{F} V1 | EXISTS V2: P_enrolled-{T}(V0,V1,V2)
% 1.53/1.70 (used 0 times, uses = {})
% 1.53/1.70
% 1.53/1.70 #34: input, references = 3, size of lhs = 1:
% 1.53/1.70 #-{F} V0 | EXISTS V1: P_sK4_student_enrolled_axiom_Y-{T}(V0,V1)
% 1.53/1.70 (used 0 times, uses = {})
% 1.53/1.70
% 1.53/1.70 #35: input, references = 5, size of lhs = 2:
% 1.53/1.70 #-{F} V0, #-{F} V1 | EXISTS V2: P_teaches-{T}(V0,V1,V2)
% 1.53/1.70 (used 0 times, uses = {})
% 1.53/1.70
% 1.53/1.70 #36: input, references = 3, size of lhs = 1:
% 1.53/1.70 #-{F} V0 | EXISTS V1: P_sK3_professor_teaches_Y-{T}(V0,V1)
% 1.53/1.70 (used 0 times, uses = {})
% 1.53/1.70
% 1.53/1.70 #37: input, references = 3, size of lhs = 1:
% 1.53/1.70 #-{F} V0 | EXISTS V1: P_sK2_course_enrolled_Y-{T}(V0,V1)
% 1.53/1.70 (used 0 times, uses = {})
% 1.53/1.70
% 1.53/1.70 #38: input, references = 3, size of lhs = 1:
% 1.53/1.70 #-{F} V0 | EXISTS V1: P_sK1_course_teaches_Y-{T}(V0,V1)
% 1.53/1.70 (used 0 times, uses = {})
% 1.53/1.70
% 1.53/1.70 #39: input, references = 4, size of lhs = 2:
% 1.53/1.70 #-{F} V0, #-{F} V1 | EXISTS V2: P_taughtby-{T}(V0,V1,V2)
% 1.53/1.70 (used 0 times, uses = {})
% 1.53/1.70
% 1.53/1.70 number of initial rules = 40
% 1.53/1.70
% 1.53/1.70 Simplifiers:
% 1.53/1.70 #40: unsound, references = 3, size of lhs = 3:
% 1.53/1.70 P_ifeq-{F}(V0,V1,V2,V3,V4), P_ifeq-{F}(V0,V1,V2,V3,V9), V4 == V9 | FALSE
% 1.53/1.70 (used 0 times, uses = {})
% 1.53/1.70
% 1.53/1.70 #41: unsound, references = 3, size of lhs = 3:
% 1.53/1.70 P_student-{F}(V0,V1), P_student-{F}(V0,V3), V1 == V3 | FALSE
% 1.53/1.70 (used 0 times, uses = {})
% 1.53/1.70
% 1.53/1.70 #42: unsound, references = 3, size of lhs = 3:
% 1.53/1.70 P_sK7_student_type_A-{F}(V0), P_sK7_student_type_A-{F}(V1), V0 == V1 | FALSE
% 1.53/1.70 (used 0 times, uses = {})
% 1.53/1.70
% 1.53/1.70 #43: unsound, references = 3, size of lhs = 3:
% 1.53/1.70 P_true-{F}(V0), P_true-{F}(V1), V0 == V1 | FALSE
% 1.53/1.70 (used 0 times, uses = {})
% 1.53/1.70
% 1.53/1.70 #44: unsound, references = 3, size of lhs = 3:
% 1.53/1.70 P_professor-{F}(V0,V1), P_professor-{F}(V0,V3), V1 == V3 | FALSE
% 1.53/1.70 (used 0 times, uses = {})
% 1.53/1.70
% 1.53/1.70 #45: unsound, references = 3, size of lhs = 3:
% 1.53/1.70 P_sK6_professor_type_A-{F}(V0), P_sK6_professor_type_A-{F}(V1), V0 == V1 | FALSE
% 1.53/1.70 (used 0 times, uses = {})
% 1.53/1.70
% 1.53/1.70 #46: unsound, references = 3, size of lhs = 3:
% 1.53/1.70 P_course-{F}(V0,V1), P_course-{F}(V0,V3), V1 == V3 | FALSE
% 1.53/1.70 (used 0 times, uses = {})
% 1.53/1.70
% 1.53/1.70 #47: unsound, references = 3, size of lhs = 3:
% 1.53/1.70 P_sK5_course_type_A-{F}(V0), P_sK5_course_type_A-{F}(V1), V0 == V1 | FALSE
% 1.53/1.70 (used 0 times, uses = {})
% 1.53/1.70
% 1.53/1.70 #48: unsound, references = 3, size of lhs = 3:
% 1.53/1.70 P_michael-{F}(V0), P_michael-{F}(V1), V0 == V1 | FALSE
% 1.53/1.70 (used 0 times, uses = {})
% 1.53/1.70
% 1.53/1.70 #49: unsound, references = 3, size of lhs = 3:
% 1.53/1.70 P_victor-{F}(V0), P_victor-{F}(V1), V0 == V1 | FALSE
% 1.53/1.70 (used 0 times, uses = {})
% 1.53/1.70
% 1.53/1.70 #50: unsound, references = 3, size of lhs = 3:
% 1.53/1.70 P_csc410-{F}(V0), P_csc410-{F}(V1), V0 == V1 | FALSE
% 1.53/1.70 (used 0 times, uses = {})
% 1.53/1.70
% 1.53/1.70 #51: unsound, references = 3, size of lhs = 3:
% 1.53/1.70 P_coordinatorof-{F}(V0,V1), P_coordinatorof-{F}(V0,V3), V1 == V3 | FALSE
% 1.53/1.70 (used 0 times, uses = {})
% 1.53/1.70
% 1.53/1.70 #52: unsound, references = 3, size of lhs = 3:
% 1.53/1.70 P_enrolled-{F}(V0,V1,V2), P_enrolled-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.53/1.70 (used 0 times, uses = {})
% 1.53/1.70
% 1.53/1.70 #53: unsound, references = 3, size of lhs = 3:
% 1.53/1.70 P_sK4_student_enrolled_axiom_Y-{F}(V0,V1), P_sK4_student_enrolled_axiom_Y-{F}(V0,V3), V1 == V3 | FALSE
% 1.53/1.70 (used 0 times, uses = {})
% 1.53/1.70
% 1.53/1.70 #54: unsound, references = 3, size of lhs = 3:
% 1.53/1.70 P_teaches-{F}(V0,V1,V2), P_teaches-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.53/1.70 (used 0 times, uses = {})
% 1.53/1.70
% 1.53/1.70 #55: unsound, references = 3, size of lhs = 3:
% 1.53/1.70 P_sK3_professor_teaches_Y-{F}(V0,V1), P_sK3_professor_teaches_Y-{F}(V0,V3), V1 == V3 | FALSE
% 1.53/1.70 (used 0 times, uses = {})
% 1.53/1.70
% 1.53/1.70 #56: unsound, references = 3, size of lhs = 3:
% 1.53/1.70 P_sK2_course_enrolled_Y-{F}(V0,V1), P_sK2_course_enrolled_Y-{F}(V0,V3), V1 == V3 | FALSE
% 1.53/1.70 (used 0 times, uses = {})
% 1.53/1.70
% 1.53/1.70 #57: unsound, references = 3, size of lhs = 3:
% 1.53/1.70 P_sK1_course_teaches_Y-{F}(V0,V1), P_sK1_course_teaches_Y-{F}(V0,V3), V1 == V3 | FALSE
% 1.53/1.70 (used 0 times, uses = {})
% 1.53/1.70
% 1.53/1.70 #58: unsound, references = 3, size of lhs = 3:
% 1.53/1.70 P_taughtby-{F}(V0,V1,V2), P_taughtby-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.53/1.70 (used 0 times, uses = {})
% 1.53/1.70
% 1.53/1.70 number of simplifiers = 19
% 1.53/1.70
% 1.53/1.70 Learnt:
% 1.53/1.70 #60: exists( #21, #0 ), references = 7, size of lhs = 3:
% 1.53/1.70 #-{F} V0, #-{F} V1, #-{F} V2 | P_ifeq-{T}(V0,V0,V1,V2,V1)
% 1.53/1.70 (used 0 times, uses = {})
% 1.53/1.70
% 1.53/1.70 #62: exists( #25, #13 ), references = 1, size of lhs = 16:
% 1.53/1.70 P_sK7_student_type_A-{F}(V0), P_student-{F}(V0,V1), P_true-{F}(V2), P_sK6_professor_type_A-{F}(V3), P_victor-{F}(V3), P_sK5_course_type_A-{F}(V4), P_course-{F}(V4,V5), P_michael-{F}(V6), P_student-{F}(V6,V7), P_csc410-{F}(V8), P_course-{F}(V8,V9), P_course-{F}(V10,V11), P_sK2_course_enrolled_Y-{F}(V10,V12), P_student-{F}(V12,V13), P_ifeq-{F}(V11,V2,V13,V2,V14), V14 == V2 | FALSE
% 1.53/1.70 (used 0 times, uses = {})
% 1.53/1.70
% 1.53/1.70 #64: exists( #22, #61 ), references = 1, size of lhs = 14:
% 1.53/1.70 P_sK7_student_type_A-{F}(V0), P_michael-{F}(V0), P_true-{F}(V1), P_sK6_professor_type_A-{F}(V2), P_victor-{F}(V2), P_sK5_course_type_A-{F}(V3), P_course-{F}(V3,V4), P_csc410-{F}(V5), P_course-{F}(V5,V6), P_course-{F}(V7,V8), P_sK2_course_enrolled_Y-{F}(V7,V9), P_student-{F}(V9,V10), P_ifeq-{F}(V8,V1,V10,V1,V11), V11 == V1 | FALSE
% 1.53/1.70 (used 0 times, uses = {})
% 1.53/1.70
% 1.53/1.70 #68: exists( #25, #16 ), references = 1, size of lhs = 16:
% 1.53/1.70 P_sK7_student_type_A-{F}(V0), P_student-{F}(V0,V1), P_true-{F}(V2), P_sK6_professor_type_A-{F}(V3), P_victor-{F}(V3), P_sK5_course_type_A-{F}(V4), P_course-{F}(V4,V5), P_michael-{F}(V6), P_student-{F}(V6,V7), P_csc410-{F}(V8), P_course-{F}(V8,V9), P_course-{F}(V10,V11), P_coordinatorof-{F}(V10,V12), P_teaches-{F}(V12,V10,V13), P_ifeq-{F}(V11,V2,V13,V2,V14), V14 == V2 | FALSE
% 1.53/1.70 (used 0 times, uses = {})
% 1.53/1.70
% 1.53/1.70 #69: exists( #25, #2 ), references = 2, size of lhs = 4:
% 1.53/1.70 P_sK7_student_type_A-{F}(V0), P_student-{F}(V0,V1), P_true-{F}(V2), P_sK6_professor_type_A-{F}(V3) | P_professor-{T}(V3,V2)
% 1.53/1.70 (used 0 times, uses = {})
% 1.53/1.70
% 1.53/1.70 #71: exists( #22, #67 ), references = 1, size of lhs = 14:
% 1.53/1.70 P_sK7_student_type_A-{F}(V0), P_michael-{F}(V0), P_true-{F}(V1), P_sK6_professor_type_A-{F}(V2), P_victor-{F}(V2), P_sK5_course_type_A-{F}(V3), P_course-{F}(V3,V4), P_csc410-{F}(V5), P_course-{F}(V5,V6), P_course-{F}(V7,V8), P_coordinatorof-{F}(V7,V9), P_teaches-{F}(V9,V7,V10), P_ifeq-{F}(V8,V1,V10,V1,V11), V11 == V1 | FALSE
% 1.53/1.70 (used 0 times, uses = {})
% 1.53/1.70
% 1.53/1.70 #73: exists( #22, #1 ), references = 1, size of lhs = 2:
% 1.53/1.70 P_sK7_student_type_A-{F}(V0), P_true-{F}(V1) | P_student-{T}(V0,V1)
% 1.53/1.70 (used 0 times, uses = {})
% 1.53/1.70
% 1.53/1.70 #76: exists( #27, #3 ), references = 1, size of lhs = 6:
% 1.53/1.70 P_sK7_student_type_A-{F}(V0), P_student-{F}(V0,V1), P_true-{F}(V2), P_sK6_professor_type_A-{F}(V3), P_professor-{F}(V3,V4), P_sK5_course_type_A-{F}(V5) | P_course-{T}(V5,V2)
% 1.53/1.70 (used 0 times, uses = {})
% 1.53/1.70
% 1.53/1.70 #79: exists( #25, #18 ), references = 1, size of lhs = 14:
% 1.53/1.70 P_sK7_student_type_A-{F}(V0), P_student-{F}(V0,V1), P_true-{F}(V2), P_sK6_professor_type_A-{F}(V3), P_professor-{F}(V3,V4), P_sK5_course_type_A-{F}(V5), P_course-{F}(V5,V6), P_michael-{F}(V7), P_student-{F}(V7,V8), P_victor-{F}(V9), P_csc410-{F}(V10), P_course-{F}(V10,V11), P_enrolled-{F}(V7,V10,V12), V12 == V2 | FALSE
% 1.53/1.70 (used 0 times, uses = {})
% 1.53/1.70
% 1.53/1.70 #80: exists( #25, #12 ), references = 2, size of lhs = 17:
% 1.53/1.70 P_sK7_student_type_A-{F}(V0), P_student-{F}(V0,V1), P_true-{F}(V2), P_sK6_professor_type_A-{F}(V3), P_professor-{F}(V3,V4), P_sK5_course_type_A-{F}(V5), P_course-{F}(V5,V6), P_michael-{F}(V7), P_student-{F}(V7,V8), P_victor-{F}(V9), P_csc410-{F}(V10), P_course-{F}(V10,V11), P_course-{F}(V12,V13), P_sK2_course_enrolled_Y-{F}(V12,V14), P_enrolled-{F}(V14,V12,V15), P_ifeq-{F}(V13,V2,V15,V2,V16), V16 == V2 | FALSE
% 1.53/1.70 (used 0 times, uses = {})
% 1.53/1.70
% 1.53/1.70 #82: exists( #33, #77 ), references = 2, size of lhs = 12:
% 1.53/1.70 P_sK7_student_type_A-{F}(V0), P_student-{F}(V0,V1), P_true-{F}(V2), P_sK6_professor_type_A-{F}(V3), P_professor-{F}(V3,V4), P_sK5_course_type_A-{F}(V5), P_course-{F}(V5,V6), P_michael-{F}(V7), P_student-{F}(V7,V8), P_victor-{F}(V9), P_csc410-{F}(V10), P_course-{F}(V10,V11) | P_enrolled-{T}(V7,V10,V2)
% 1.53/1.70 (used 0 times, uses = {})
% 1.53/1.70
% 1.53/1.70 #87: exists( #33, #83 ), references = 1, size of lhs = 14:
% 1.53/1.70 P_sK7_student_type_A-{F}(V0), P_student-{F}(V0,V1), P_true-{F}(V2), P_sK6_professor_type_A-{F}(V3), P_professor-{F}(V3,V4), P_sK5_course_type_A-{F}(V5), P_course-{F}(V5,V6), P_michael-{F}(V7), P_student-{F}(V7,V8), P_victor-{F}(V9), P_csc410-{F}(V10), P_course-{F}(V10,V11), P_course-{F}(V12,V2), P_sK2_course_enrolled_Y-{F}(V12,V13) | P_enrolled-{T}(V13,V12,V2)
% 1.53/1.70 (used 0 times, uses = {})
% 1.53/1.70
% 1.53/1.70 #90: exists( #35, #88 ), references = 1, size of lhs = 15:
% 1.53/1.70 P_sK7_student_type_A-{F}(V0), P_student-{F}(V0,V1), P_true-{F}(V2), P_sK6_professor_type_A-{F}(V3), P_professor-{F}(V3,V4), P_sK5_course_type_A-{F}(V5), P_course-{F}(V5,V6), P_michael-{F}(V7), P_student-{F}(V7,V8), P_victor-{F}(V9), P_professor-{F}(V9,V10), P_csc410-{F}(V11), P_course-{F}(V11,V12), P_professor-{F}(V13,V2), P_sK3_professor_teaches_Y-{F}(V13,V14) | P_teaches-{T}(V13,V14,V2)
% 1.53/1.70 (used 0 times, uses = {})
% 1.53/1.70
% 1.53/1.70 #93: exists( #27, #91 ), references = 1, size of lhs = 15:
% 1.53/1.70 P_sK7_student_type_A-{F}(V0), P_student-{F}(V0,V1), P_true-{F}(V2), P_sK6_professor_type_A-{F}(V3), P_professor-{F}(V3,V4), P_sK5_course_type_A-{F}(V5), P_course-{F}(V5,V6), P_michael-{F}(V7), P_student-{F}(V7,V8), P_victor-{F}(V9), P_professor-{F}(V9,V10), P_csc410-{F}(V11), P_course-{F}(V11,V12), P_professor-{F}(V13,V2), P_sK3_professor_teaches_Y-{F}(V13,V14) | P_course-{T}(V14,V2)
% 1.53/1.70 (used 0 times, uses = {})
% 1.53/1.70
% 1.53/1.70 #99: exists( #35, #95 ), references = 2, size of lhs = 15:
% 1.53/1.70 P_sK7_student_type_A-{F}(V0), P_student-{F}(V0,V1), P_true-{F}(V2), P_sK6_professor_type_A-{F}(V3), P_professor-{F}(V3,V4), P_sK5_course_type_A-{F}(V5), P_course-{F}(V5,V6), P_michael-{F}(V7), P_student-{F}(V7,V8), P_victor-{F}(V9), P_professor-{F}(V9,V10), P_csc410-{F}(V11), P_course-{F}(V11,V12), P_course-{F}(V13,V2), P_coordinatorof-{F}(V13,V14) | P_teaches-{T}(V14,V13,V2)
% 1.53/1.70 (used 0 times, uses = {})
% 1.53/1.70
% 1.53/1.70 #100: exists( #35, #96 ), references = 1, size of lhs = 15:
% 1.53/1.70 P_sK7_student_type_A-{F}(V0), P_student-{F}(V0,V1), P_true-{F}(V2), P_sK6_professor_type_A-{F}(V3), P_professor-{F}(V3,V4), P_sK5_course_type_A-{F}(V5), P_course-{F}(V5,V6), P_michael-{F}(V7), P_student-{F}(V7,V8), P_victor-{F}(V9), P_professor-{F}(V9,V10), P_csc410-{F}(V11), P_course-{F}(V11,V12), P_course-{F}(V13,V2), P_sK1_course_teaches_Y-{F}(V13,V14) | P_teaches-{T}(V14,V13,V2)
% 1.53/1.70 (used 0 times, uses = {})
% 1.53/1.70
% 1.53/1.70 #103: exists( #39, #101 ), references = 2, size of lhs = 18:
% 1.53/1.70 P_sK7_student_type_A-{F}(V0), P_student-{F}(V0,V1), P_true-{F}(V2), P_sK6_professor_type_A-{F}(V3), P_professor-{F}(V3,V4), P_sK5_course_type_A-{F}(V5), P_course-{F}(V5,V6), P_michael-{F}(V7), P_student-{F}(V7,V8), P_victor-{F}(V9), P_professor-{F}(V9,V10), P_csc410-{F}(V11), P_course-{F}(V11,V12), P_course-{F}(V13,V2), P_teaches-{F}(V14,V13,V2), P_professor-{F}(V14,V2), P_enrolled-{F}(V15,V13,V2), P_student-{F}(V15,V2) | P_taughtby-{T}(V15,V14,V2)
% 1.53/1.70 (used 0 times, uses = {})
% 1.53/1.70
% 1.53/1.70 #107: exists( #25, #5 ), references = 2, size of lhs = 10:
% 1.53/1.70 P_sK7_student_type_A-{F}(V0), P_student-{F}(V0,V1), P_true-{F}(V2), P_sK6_professor_type_A-{F}(V3), P_professor-{F}(V3,V4), P_sK5_course_type_A-{F}(V5), P_course-{F}(V5,V6), P_michael-{F}(V7), P_student-{F}(V7,V8), P_victor-{F}(V9) | P_professor-{T}(V9,V2)
% 1.53/1.70 (used 0 times, uses = {})
% 1.53/1.70
% 1.53/1.70 #109: exists( #32, #19 ), references = 2, size of lhs = 14:
% 1.53/1.70 P_sK7_student_type_A-{F}(V0), P_student-{F}(V0,V1), P_true-{F}(V2), P_sK6_professor_type_A-{F}(V3), P_professor-{F}(V3,V4), P_sK5_course_type_A-{F}(V5), P_course-{F}(V5,V6), P_michael-{F}(V7), P_student-{F}(V7,V8), P_victor-{F}(V9), P_professor-{F}(V9,V10), P_csc410-{F}(V11), P_course-{F}(V11,V12), P_enrolled-{F}(V7,V11,V13) | P_coordinatorof-{T}(V11,V9)
% 1.53/1.70 (used 0 times, uses = {})
% 1.53/1.70
% 1.53/1.70 #116: exists( #22, #4 ), references = 1, size of lhs = 8:
% 1.53/1.70 P_sK7_student_type_A-{F}(V0), P_student-{F}(V0,V1), P_true-{F}(V2), P_sK6_professor_type_A-{F}(V3), P_professor-{F}(V3,V4), P_sK5_course_type_A-{F}(V5), P_course-{F}(V5,V6), P_michael-{F}(V7) | P_student-{T}(V7,V2)
% 1.53/1.70 (used 0 times, uses = {})
% 1.53/1.70
% 1.53/1.70 #118: exists( #27, #6 ), references = 1, size of lhs = 12:
% 1.53/1.70 P_sK7_student_type_A-{F}(V0), P_student-{F}(V0,V1), P_true-{F}(V2), P_sK6_professor_type_A-{F}(V3), P_professor-{F}(V3,V4), P_sK5_course_type_A-{F}(V5), P_course-{F}(V5,V6), P_michael-{F}(V7), P_student-{F}(V7,V8), P_victor-{F}(V9), P_professor-{F}(V9,V10), P_csc410-{F}(V11) | P_course-{T}(V11,V2)
% 1.53/1.70 (used 0 times, uses = {})
% 1.53/1.70
% 1.53/1.70 #174: mergings( V47 == V55, V55 == V56, V56 == V57, V1 == V11, V2 == V12, V11 == V18, V12 == V19, V18 == V25, V19 == V26, V25 == V35, V26 == V36, V35 == V45, V36 == V46, V20 == V57, V57 == V49, V49 == V58, V3 == V13, V4 == V14, V13 == V21, V14 == V22, V21 == V27, V22 == V28, V27 == V37, V28 == V38, V37 == V50, V38 == V51, V5 == V15, V6 == V16, V15 == V23, V16 == V24, V23 == V29, V24 == V30, V29 == V39, V30 == V40, V39 == V52, V40 == V53, V7 == V31, V8 == V32, V31 == V41, V32 == V42, V41 == V54, V42 == V58, V9 == V17, V17 == V33, V10 == V34, V33 == V43, V34 == V44, V43 == V48, V44 == V58; #124 ), references = 2, size of lhs = 11:
% 1.53/1.70 P_sK7_student_type_A-{F}(V0), P_student-{F}(V0,V1), P_true-{F}(V2), P_victor-{F}(V3), P_professor-{F}(V3,V2), P_sK6_professor_type_A-{F}(V4), P_professor-{F}(V4,V5), P_sK5_course_type_A-{F}(V6), P_course-{F}(V6,V7), P_michael-{F}(V8), P_student-{F}(V8,V2) | FALSE
% 1.53/1.70 (used 0 times, uses = {})
% 1.53/1.70
% 1.53/1.70 #185: mergings( V1 == V9, V2 == V10, V3 == V12, V4 == V13, V5 == V14, V6 == V15, V7 == V16, V8 == V11; #176 ), references = 1, size of lhs = 9:
% 1.53/1.70 P_sK7_student_type_A-{F}(V0), P_student-{F}(V0,V1), P_true-{F}(V2), P_sK6_professor_type_A-{F}(V3), P_professor-{F}(V3,V4), P_sK5_course_type_A-{F}(V5), P_course-{F}(V5,V6), P_michael-{F}(V7), P_student-{F}(V7,V2) | FALSE
% 1.53/1.70 (used 0 times, uses = {})
% 1.53/1.70
% 1.53/1.70 #200: mergings( V1 == V7, V2 == V8, V7 == V13, V8 == V14, V3 == V9, V4 == V10, V9 == V16, V10 == V17, V5 == V11, V6 == V12, V11 == V18, V12 == V19; #187 ), references = 1, size of lhs = 7:
% 1.53/1.70 P_sK7_student_type_A-{F}(V0), P_student-{F}(V0,V1), P_true-{F}(V2), P_sK6_professor_type_A-{F}(V3), P_professor-{F}(V3,V4), P_sK5_course_type_A-{F}(V5), P_course-{F}(V5,V6) | FALSE
% 1.53/1.70 (used 0 times, uses = {})
% 1.53/1.70
% 1.53/1.70 #216: mergings( V1 == V6, V2 == V7, V6 == V10, V7 == V11, V10 == V14, V11 == V15, V3 == V16, V4 == V8, V5 == V9, V8 == V12, V9 == V13, V12 == V17, V13 == V18; #202 ), references = 1, size of lhs = 5:
% 1.53/1.70 P_sK7_student_type_A-{F}(V0), P_student-{F}(V0,V1), P_true-{F}(V2), P_sK6_professor_type_A-{F}(V3), P_professor-{F}(V3,V4) | FALSE
% 1.53/1.70 (used 0 times, uses = {})
% 1.53/1.70
% 1.53/1.70 #229: mergings( V1 == V4, V2 == V5, V4 == V7, V5 == V8, V7 == V9, V8 == V10, V9 == V11, V10 == V12, V3 == V6, V6 == V13; #218 ), references = 1, size of lhs = 3:
% 1.53/1.70 P_sK7_student_type_A-{F}(V0), P_student-{F}(V0,V1), P_true-{F}(V2) | FALSE
% 1.53/1.70 (used 0 times, uses = {})
% 1.53/1.70
% 1.53/1.70 #232: exists( #24, #230 ), references = 1, size of lhs = 1:
% 1.53/1.70 P_sK7_student_type_A-{F}(V0) | FALSE
% 1.53/1.70 (used 0 times, uses = {})
% 1.53/1.70
% 1.53/1.70 #234: exists( #23, #231 ), references = 1, size of lhs = 0:
% 1.53/1.70 FALSE | FALSE
% 1.53/1.70 (used 0 times, uses = {})
% 1.53/1.70
% 1.53/1.70 number of learnt formulas = 28
% 1.53/1.70
% 1.53/1.70
% 1.53/1.70 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.53/1.70
% 1.53/1.70 randbase = 1
%------------------------------------------------------------------------------