TSTP Solution File: COM003-2 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : COM003-2 : TPTP v8.1.0. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n027.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 05:59:15 EDT 2022
% Result : Unsatisfiable 0.12s 0.35s
% Output : Refutation 0.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : COM003-2 : TPTP v8.1.0. Released v1.1.0.
% 0.11/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n027.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Fri Jul 22 17:12:01 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.35 GeoParameters:
% 0.12/0.35
% 0.12/0.35 tptp_input = 1
% 0.12/0.35 tptp_output = 0
% 0.12/0.35 nonempty = 1
% 0.12/0.35 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.35 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.12/0.35
% 0.12/0.35
% 0.12/0.35 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.35 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.35
% 0.12/0.35 RuleSystem INPUT:
% 0.12/0.35
% 0.12/0.35 Initial Rules:
% 0.12/0.35 #0: input, references = 3, size of lhs = 3:
% 0.12/0.35 program-{F}(V0), program_decides-{F}(V1), #-{F} V2 | decides-{T}(V1,V0,V2)
% 0.12/0.35 (used 0 times, uses = {})
% 0.12/0.35
% 0.12/0.35 #1: input, references = 3, size of lhs = 1:
% 0.12/0.35 P_f2-{F}(V0,V1) | program_decides-{T}(V0), program-{T}(V1)
% 0.12/0.35 (used 0 times, uses = {})
% 0.12/0.35
% 0.12/0.35 #2: input, references = 3, size of lhs = 3:
% 0.12/0.35 P_f2-{F}(V0,V1), P_f1-{F}(V0,V2), decides-{F}(V0,V1,V2) | program_decides-{T}(V0)
% 0.12/0.35 (used 0 times, uses = {})
% 0.12/0.35
% 0.12/0.35 #3: input, references = 3, size of lhs = 1:
% 0.12/0.35 program_program_decides-{F}(V0) | program-{T}(V0)
% 0.12/0.35 (used 0 times, uses = {})
% 0.12/0.35
% 0.12/0.35 #4: input, references = 3, size of lhs = 1:
% 0.12/0.35 program_program_decides-{F}(V0) | program_decides-{T}(V0)
% 0.12/0.35 (used 0 times, uses = {})
% 0.12/0.35
% 0.12/0.35 #5: input, references = 3, size of lhs = 2:
% 0.12/0.35 program-{F}(V0), program_decides-{F}(V0) | program_program_decides-{T}(V0)
% 0.12/0.35 (used 0 times, uses = {})
% 0.12/0.35
% 0.12/0.35 #6: input, references = 3, size of lhs = 1:
% 0.12/0.35 algorithm_program_decides-{F}(V0) | algorithm-{T}(V0)
% 0.12/0.35 (used 0 times, uses = {})
% 0.12/0.35
% 0.12/0.35 #7: input, references = 3, size of lhs = 1:
% 0.12/0.35 algorithm_program_decides-{F}(V0) | program_decides-{T}(V0)
% 0.12/0.35 (used 0 times, uses = {})
% 0.12/0.35
% 0.12/0.35 #8: input, references = 3, size of lhs = 2:
% 0.12/0.35 algorithm-{F}(V0), program_decides-{F}(V0) | algorithm_program_decides-{T}(V0)
% 0.12/0.35 (used 0 times, uses = {})
% 0.12/0.35
% 0.12/0.35 #9: input, references = 3, size of lhs = 1:
% 0.12/0.35 program_halts2-{F}(V0,V1) | program-{T}(V0)
% 0.12/0.35 (used 0 times, uses = {})
% 0.12/0.35
% 0.12/0.35 #10: input, references = 4, size of lhs = 1:
% 0.12/0.35 program_halts2-{F}(V0,V1) | halts2-{T}(V0,V1)
% 0.12/0.35 (used 0 times, uses = {})
% 0.12/0.35
% 0.12/0.35 #11: input, references = 3, size of lhs = 2:
% 0.12/0.35 program-{F}(V0), halts2-{F}(V0,V1) | program_halts2-{T}(V0,V1)
% 0.12/0.35 (used 0 times, uses = {})
% 0.12/0.35
% 0.12/0.35 #12: input, references = 3, size of lhs = 1:
% 0.12/0.35 halts3_outputs-{F}(V0,V1,V2,V3) | halts3-{T}(V0,V1,V2)
% 0.12/0.35 (used 0 times, uses = {})
% 0.12/0.35
% 0.12/0.35 #13: input, references = 3, size of lhs = 1:
% 0.12/0.35 halts3_outputs-{F}(V0,V3,V2,V1) | outputs-{T}(V0,V1)
% 0.12/0.35 (used 0 times, uses = {})
% 0.12/0.35
% 0.12/0.35 #14: input, references = 3, size of lhs = 2:
% 0.12/0.35 outputs-{F}(V0,V1), halts3-{F}(V0,V3,V2) | halts3_outputs-{T}(V0,V3,V2,V1)
% 0.12/0.35 (used 0 times, uses = {})
% 0.12/0.35
% 0.12/0.35 #15: input, references = 3, size of lhs = 1:
% 0.12/0.35 program_not_halts2-{F}(V0,V1) | program-{T}(V0)
% 0.12/0.35 (used 0 times, uses = {})
% 0.12/0.35
% 0.12/0.35 #16: input, references = 4, size of lhs = 2:
% 0.12/0.35 program_not_halts2-{F}(V0,V1), halts2-{F}(V0,V1) | FALSE
% 0.12/0.35 (used 0 times, uses = {})
% 0.12/0.35
% 0.12/0.35 #17: input, references = 3, size of lhs = 2:
% 0.12/0.35 program-{F}(V0), #-{F} V1 | program_not_halts2-{T}(V0,V1), halts2-{T}(V0,V1)
% 0.12/0.35 (used 0 times, uses = {})
% 0.12/0.35
% 0.12/0.35 #18: input, references = 3, size of lhs = 1:
% 0.12/0.35 halts2_outputs-{F}(V0,V1,V2) | halts2-{T}(V0,V1)
% 0.12/0.35 (used 0 times, uses = {})
% 0.12/0.35
% 0.12/0.35 #19: input, references = 3, size of lhs = 1:
% 0.12/0.35 halts2_outputs-{F}(V0,V2,V1) | outputs-{T}(V0,V1)
% 0.12/0.35 (used 0 times, uses = {})
% 0.12/0.35
% 0.12/0.35 #20: input, references = 3, size of lhs = 2:
% 0.12/0.35 outputs-{F}(V0,V1), halts2-{F}(V0,V2) | halts2_outputs-{T}(V0,V2,V1)
% 0.12/0.35 (used 0 times, uses = {})
% 0.12/0.35
% 0.12/0.35 #21: input, references = 4, size of lhs = 1:
% 0.12/0.35 program_halts2_halts3_outputs-{F}(V3,V0,V1,V2) | program_halts2-{T}(V0,V1)
% 0.12/0.35 (used 0 times, uses = {})
% 0.12/0.35
% 0.12/0.35 #22: input, references = 3, size of lhs = 1:
% 0.12/0.35 program_halts2_halts3_outputs-{F}(V0,V1,V2,V3) | halts3_outputs-{T}(V0,V1,V2,V3)
% 0.12/0.35 (used 0 times, uses = {})
% 0.12/0.35
% 0.12/0.35 #23: input, references = 3, size of lhs = 2:
% 0.12/0.35 program_halts2-{F}(V0,V1), halts3_outputs-{F}(V3,V0,V1,V2) | program_halts2_halts3_outputs-{T}(V3,V0,V1,V2)
% 0.12/0.35 (used 0 times, uses = {})
% 0.12/0.35
% 0.12/0.35 #24: input, references = 4, size of lhs = 1:
% 0.12/0.35 program_not_halts2_halts3_outputs-{F}(V3,V0,V1,V2) | program_not_halts2-{T}(V0,V1)
% 0.12/0.35 (used 0 times, uses = {})
% 0.12/0.35
% 0.12/0.35 #25: input, references = 3, size of lhs = 1:
% 0.12/0.35 program_not_halts2_halts3_outputs-{F}(V0,V1,V2,V3) | halts3_outputs-{T}(V0,V1,V2,V3)
% 0.12/0.35 (used 0 times, uses = {})
% 0.12/0.35
% 0.12/0.35 #26: input, references = 3, size of lhs = 2:
% 0.12/0.35 program_not_halts2-{F}(V0,V1), halts3_outputs-{F}(V3,V0,V1,V2) | program_not_halts2_halts3_outputs-{T}(V3,V0,V1,V2)
% 0.12/0.35 (used 0 times, uses = {})
% 0.12/0.35
% 0.12/0.35 #27: input, references = 3, size of lhs = 1:
% 0.12/0.35 program_halts2_halts2_outputs-{F}(V2,V0,V1) | program_halts2-{T}(V0,V0)
% 0.12/0.35 (used 0 times, uses = {})
% 0.12/0.35
% 0.12/0.35 #28: input, references = 3, size of lhs = 1:
% 0.12/0.35 program_halts2_halts2_outputs-{F}(V0,V1,V2) | halts2_outputs-{T}(V0,V1,V2)
% 0.12/0.35 (used 0 times, uses = {})
% 0.12/0.35
% 0.12/0.35 #29: input, references = 3, size of lhs = 2:
% 0.12/0.35 program_halts2-{F}(V0,V0), halts2_outputs-{F}(V2,V0,V1) | program_halts2_halts2_outputs-{T}(V2,V0,V1)
% 0.12/0.35 (used 0 times, uses = {})
% 0.12/0.35
% 0.12/0.35 #30: input, references = 3, size of lhs = 1:
% 0.12/0.35 program_not_halts2_halts2_outputs-{F}(V2,V0,V1) | program_not_halts2-{T}(V0,V0)
% 0.12/0.35 (used 0 times, uses = {})
% 0.12/0.35
% 0.12/0.35 #31: input, references = 3, size of lhs = 1:
% 0.12/0.35 program_not_halts2_halts2_outputs-{F}(V0,V1,V2) | halts2_outputs-{T}(V0,V1,V2)
% 0.12/0.35 (used 0 times, uses = {})
% 0.12/0.35
% 0.12/0.35 #32: input, references = 3, size of lhs = 2:
% 0.12/0.35 program_not_halts2-{F}(V0,V0), halts2_outputs-{F}(V2,V0,V1) | program_not_halts2_halts2_outputs-{T}(V2,V0,V1)
% 0.12/0.35 (used 0 times, uses = {})
% 0.12/0.35
% 0.12/0.35 #33: input, references = 4, size of lhs = 2:
% 0.12/0.35 P_c1-{F}(V0), algorithm_program_decides-{F}(V1) | program_program_decides-{T}(V0)
% 0.12/0.35 (used 0 times, uses = {})
% 0.12/0.35
% 0.12/0.35 #34: input, references = 4, size of lhs = 5:
% 0.12/0.35 P_c1-{F}(V0), P_good-{F}(V1), program_program_decides-{F}(V2), #-{F} V3, #-{F} V4 | program_halts2_halts3_outputs-{T}(V2,V4,V3,V1)
% 0.12/0.35 (used 0 times, uses = {})
% 0.12/0.35
% 0.12/0.35 #35: input, references = 4, size of lhs = 6:
% 0.12/0.35 P_c1-{F}(V0), P_good-{F}(V1), P_bad-{F}(V2), program_program_decides-{F}(V3), #-{F} V4, #-{F} V5 | program_not_halts2_halts3_outputs-{T}(V3,V5,V4,V2)
% 0.12/0.35 (used 0 times, uses = {})
% 0.12/0.35
% 0.12/0.35 #36: input, references = 3, size of lhs = 8:
% 0.12/0.35 P_c1-{F}(V0), P_good-{F}(V1), P_bad-{F}(V2), P_c2-{F}(V3), P_f3-{F}(V4,V5), program-{F}(V4), program_halts2_halts3_outputs-{F}(V4,V5,V5,V1), program_not_halts2_halts3_outputs-{F}(V4,V5,V5,V2) | program-{T}(V3)
% 0.12/0.35 (used 0 times, uses = {})
% 0.12/0.35
% 0.12/0.35 #37: input, references = 3, size of lhs = 9:
% 0.12/0.35 P_c1-{F}(V0), P_good-{F}(V1), P_bad-{F}(V2), P_c2-{F}(V3), #-{F} V4, P_f3-{F}(V5,V6), program-{F}(V5), program_halts2_halts3_outputs-{F}(V5,V6,V6,V1), program_not_halts2_halts3_outputs-{F}(V5,V6,V6,V2) | program_halts2_halts2_outputs-{T}(V3,V4,V1)
% 0.12/0.35 (used 0 times, uses = {})
% 0.12/0.35
% 0.12/0.35 #38: input, references = 3, size of lhs = 9:
% 0.12/0.35 P_c1-{F}(V0), P_good-{F}(V1), P_bad-{F}(V2), P_c2-{F}(V3), #-{F} V4, P_f3-{F}(V5,V6), program-{F}(V5), program_halts2_halts3_outputs-{F}(V5,V6,V6,V1), program_not_halts2_halts3_outputs-{F}(V5,V6,V6,V2) | program_not_halts2_halts2_outputs-{T}(V3,V4,V2)
% 0.12/0.35 (used 0 times, uses = {})
% 0.12/0.35
% 0.12/0.35 #39: input, references = 3, size of lhs = 9:
% 0.12/0.35 P_c1-{F}(V0), P_good-{F}(V1), P_bad-{F}(V2), P_c2-{F}(V3), P_c3-{F}(V4), P_f4-{F}(V5,V6), program-{F}(V5), program_halts2_halts2_outputs-{F}(V5,V6,V1), program_not_halts2_halts2_outputs-{F}(V5,V6,V2) | program-{T}(V4)
% 0.12/0.35 (used 0 times, uses = {})
% 0.12/0.35
% 0.12/0.35 #40: input, references = 3, size of lhs = 10:
% 0.12/0.35 P_c1-{F}(V0), P_good-{F}(V1), P_bad-{F}(V2), P_c2-{F}(V3), P_c3-{F}(V4), program_halts2-{F}(V5,V5), P_f4-{F}(V6,V7), program-{F}(V6), program_halts2_halts2_outputs-{F}(V6,V7,V1), program_not_halts2_halts2_outputs-{F}(V6,V7,V2) | halts2-{T}(V4,V5)
% 0.12/0.35 (used 0 times, uses = {})
% 0.12/0.35
% 0.12/0.35 #41: input, references = 3, size of lhs = 10:
% 0.12/0.35 P_c1-{F}(V0), P_good-{F}(V1), P_bad-{F}(V2), P_c2-{F}(V3), P_c3-{F}(V4), #-{F} V5, P_f4-{F}(V6,V7), program-{F}(V6), program_halts2_halts2_outputs-{F}(V6,V7,V1), program_not_halts2_halts2_outputs-{F}(V6,V7,V2) | program_not_halts2_halts2_outputs-{T}(V4,V5,V2)
% 0.12/0.35 (used 0 times, uses = {})
% 0.12/0.35
% 0.12/0.35 #42: input, references = 4, size of lhs = 6:
% 0.12/0.35 P_c1-{F}(V0), P_good-{F}(V1), P_bad-{F}(V2), P_c2-{F}(V3), P_c3-{F}(V4), P_c4-{F}(V5) | algorithm_program_decides-{T}(V5)
% 0.12/0.35 (used 0 times, uses = {})
% 0.12/0.35
% 0.12/0.35 #43: input, references = 3, size of lhs = 1:
% 0.12/0.35 #-{F} V0 | EXISTS V1: P_f2-{T}(V0,V1)
% 0.12/0.35 (used 0 times, uses = {})
% 0.12/0.35
% 0.12/0.35 #44: input, references = 3, size of lhs = 1:
% 0.12/0.35 #-{F} V0 | EXISTS V1: P_f1-{T}(V0,V1)
% 0.12/0.35 (used 0 times, uses = {})
% 0.12/0.35
% 0.12/0.35 #45: input, references = 4, size of lhs = 0:
% 0.12/0.35 FALSE | EXISTS V0: P_c1-{T}(V0)
% 0.12/0.35 (used 0 times, uses = {})
% 0.12/0.35
% 0.12/0.35 #46: input, references = 4, size of lhs = 0:
% 0.12/0.35 FALSE | EXISTS V0: P_good-{T}(V0)
% 0.12/0.35 (used 0 times, uses = {})
% 0.12/0.35
% 0.12/0.35 #47: input, references = 4, size of lhs = 0:
% 0.12/0.35 FALSE | EXISTS V0: P_bad-{T}(V0)
% 0.12/0.35 (used 0 times, uses = {})
% 0.12/0.35
% 0.12/0.35 #48: input, references = 3, size of lhs = 1:
% 0.12/0.35 #-{F} V0 | EXISTS V1: P_f3-{T}(V0,V1)
% 0.12/0.35 (used 0 times, uses = {})
% 0.12/0.35
% 0.12/0.35 #49: input, references = 4, size of lhs = 0:
% 0.12/0.35 FALSE | EXISTS V0: P_c2-{T}(V0)
% 0.12/0.35 (used 0 times, uses = {})
% 0.12/0.35
% 0.12/0.35 #50: input, references = 3, size of lhs = 1:
% 0.12/0.35 #-{F} V0 | EXISTS V1: P_f4-{T}(V0,V1)
% 0.12/0.35 (used 0 times, uses = {})
% 0.12/0.35
% 0.12/0.35 #51: input, references = 4, size of lhs = 0:
% 0.12/0.35 FALSE | EXISTS V0: P_c3-{T}(V0)
% 0.12/0.35 (used 0 times, uses = {})
% 0.12/0.35
% 0.12/0.35 #52: input, references = 4, size of lhs = 0:
% 0.12/0.35 FALSE | EXISTS V0: P_c4-{T}(V0)
% 0.12/0.35 (used 0 times, uses = {})
% 0.12/0.35
% 0.12/0.35 number of initial rules = 53
% 0.12/0.35
% 0.12/0.35 Simplifiers:
% 0.12/0.35 #53: unsound, references = 3, size of lhs = 3:
% 0.12/0.35 algorithm_program_decides-{F}(V0), algorithm_program_decides-{F}(V1), V0 == V1 | FALSE
% 0.12/0.35 (used 0 times, uses = {})
% 0.12/0.35
% 0.12/0.35 #54: unsound, references = 3, size of lhs = 3:
% 0.12/0.35 algorithm-{F}(V0), algorithm-{F}(V1), V0 == V1 | FALSE
% 0.12/0.35 (used 0 times, uses = {})
% 0.12/0.35
% 0.12/0.35 #55: unsound, references = 3, size of lhs = 3:
% 0.12/0.35 P_f2-{F}(V0,V1), P_f2-{F}(V0,V3), V1 == V3 | FALSE
% 0.12/0.35 (used 0 times, uses = {})
% 0.12/0.35
% 0.12/0.35 #56: unsound, references = 3, size of lhs = 3:
% 0.12/0.35 P_f1-{F}(V0,V1), P_f1-{F}(V0,V3), V1 == V3 | FALSE
% 0.12/0.35 (used 0 times, uses = {})
% 0.12/0.35
% 0.12/0.35 #57: unsound, references = 3, size of lhs = 3:
% 0.12/0.35 P_c1-{F}(V0), P_c1-{F}(V1), V0 == V1 | FALSE
% 0.12/0.35 (used 0 times, uses = {})
% 0.12/0.35
% 0.12/0.35 #58: unsound, references = 3, size of lhs = 3:
% 0.12/0.35 P_good-{F}(V0), P_good-{F}(V1), V0 == V1 | FALSE
% 0.12/0.35 (used 0 times, uses = {})
% 0.12/0.35
% 0.12/0.35 #59: unsound, references = 3, size of lhs = 3:
% 0.12/0.35 P_bad-{F}(V0), P_bad-{F}(V1), V0 == V1 | FALSE
% 0.12/0.35 (used 0 times, uses = {})
% 0.12/0.35
% 0.12/0.35 #60: unsound, references = 3, size of lhs = 3:
% 0.12/0.35 P_c2-{F}(V0), P_c2-{F}(V1), V0 == V1 | FALSE
% 0.12/0.35 (used 0 times, uses = {})
% 0.12/0.35
% 0.12/0.35 #61: unsound, references = 3, size of lhs = 3:
% 0.12/0.35 P_f3-{F}(V0,V1), P_f3-{F}(V0,V3), V1 == V3 | FALSE
% 0.12/0.35 (used 0 times, uses = {})
% 0.12/0.35
% 0.12/0.35 #62: unsound, references = 3, size of lhs = 3:
% 0.12/0.35 P_c3-{F}(V0), P_c3-{F}(V1), V0 == V1 | FALSE
% 0.12/0.35 (used 0 times, uses = {})
% 0.12/0.35
% 0.12/0.35 #63: unsound, references = 3, size of lhs = 3:
% 0.12/0.35 P_f4-{F}(V0,V1), P_f4-{F}(V0,V3), V1 == V3 | FALSE
% 0.12/0.35 (used 0 times, uses = {})
% 0.12/0.35
% 0.12/0.35 #64: unsound, references = 3, size of lhs = 3:
% 0.12/0.35 P_c4-{F}(V0), P_c4-{F}(V1), V0 == V1 | FALSE
% 0.12/0.35 (used 0 times, uses = {})
% 0.12/0.35
% 0.12/0.35 number of simplifiers = 12
% 0.12/0.35
% 0.12/0.35 Learnt:
% 0.12/0.35 #79: mergings( V1 == V6, V6 == V7, V7 == V9, V2 == V8, V8 == V10, V3 == V11; #72 ), references = 1, size of lhs = 5:
% 0.12/0.35 P_c2-{F}(V0), P_c3-{F}(V1), P_c1-{F}(V2), P_good-{F}(V3), P_bad-{F}(V4) | FALSE
% 0.12/0.35 (used 0 times, uses = {})
% 0.12/0.35
% 0.12/0.35 #87: mergings( V1 == V5, V5 == V6, V6 == V8, V2 == V7, V7 == V9, V3 == V10; #80 ), references = 1, size of lhs = 4:
% 0.12/0.35 P_c2-{F}(V0), P_c1-{F}(V1), P_good-{F}(V2), P_bad-{F}(V3) | FALSE
% 0.12/0.35 (used 0 times, uses = {})
% 0.12/0.35
% 0.12/0.35 #95: mergings( V1 == V4, V4 == V5, V5 == V7, V2 == V6, V6 == V8, V3 == V9; #88 ), references = 1, size of lhs = 3:
% 0.12/0.35 P_c1-{F}(V0), P_good-{F}(V1), P_bad-{F}(V2) | FALSE
% 0.12/0.35 (used 0 times, uses = {})
% 0.12/0.35
% 0.12/0.35 #102: mergings( V1 == V3, V3 == V4, V4 == V6, V2 == V5, V5 == V7; #96 ), references = 1, size of lhs = 2:
% 0.12/0.35 P_c1-{F}(V0), P_good-{F}(V1) | FALSE
% 0.12/0.35 (used 0 times, uses = {})
% 0.12/0.35
% 0.12/0.35 #107: mergings( V1 == V2, V2 == V3, V3 == V4; #103 ), references = 1, size of lhs = 1:
% 0.12/0.35 P_c1-{F}(V0) | FALSE
% 0.12/0.35 (used 0 times, uses = {})
% 0.12/0.35
% 0.12/0.35 #109: exists( #45, #103 ), references = 1, size of lhs = 0:
% 0.12/0.35 FALSE | FALSE
% 0.12/0.35 (used 0 times, uses = {})
% 0.12/0.35
% 0.12/0.35 number of learnt formulas = 6
% 0.12/0.35
% 0.12/0.35
% 0.12/0.35 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.35
% 0.12/0.35 randbase = 1
%------------------------------------------------------------------------------