%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SEU355+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n028.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 06:17:53 EDT 2022
% Result : Theorem 0.18s 0.48s
% Output : Refutation 0.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : SEU355+1 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n028.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 18:59:58 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.48 GeoParameters:
% 0.18/0.48
% 0.18/0.48 tptp_input = 1
% 0.18/0.48 tptp_output = 0
% 0.18/0.48 nonempty = 1
% 0.18/0.48 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.48 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.18/0.48
% 0.18/0.48
% 0.18/0.48 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.48 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.48
% 0.18/0.48 RuleSystem INPUT:
% 0.18/0.48
% 0.18/0.48 Initial Rules:
% 0.18/0.48 #0: input, references = 3, size of lhs = 2:
% 0.18/0.48 in-{F}(V0,V1), in-{F}(V1,V0) | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #1: input, references = 3, size of lhs = 1:
% 0.18/0.48 empty-{F}(V0) | finite-{T}(V0)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #2: input, references = 3, size of lhs = 4:
% 0.18/0.48 P_the_carrier-{F}(V0,V1), rel_str-{F}(V0), element-{F}(V2,V1), relstr_element_smaller-{F}(V0,V3,V2) | pppp0-{T}(V0,V3,V2)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #3: input, references = 4, size of lhs = 4:
% 0.18/0.48 P_the_carrier-{F}(V0,V1), rel_str-{F}(V0), element-{F}(V2,V1), pppp0-{F}(V0,V3,V2) | relstr_element_smaller-{T}(V0,V3,V2)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #4: input, references = 3, size of lhs = 4:
% 0.18/0.48 P_the_carrier-{F}(V0,V3), pppp0-{F}(V0,V1,V2), element-{F}(V4,V3), in-{F}(V4,V1) | related-{T}(V0,V2,V4)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #5: input, references = 4, size of lhs = 3:
% 0.18/0.48 #-{F} V1, #-{F} V2, P_the_carrier-{F}(V0,V3) | pppp0-{T}(V0,V1,V2), pppp12-{T}(V0,V1,V2,V3)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #6: input, references = 4, size of lhs = 1:
% 0.18/0.48 pppp12-{F}(V0,V1,V2,V3) | EXISTS V4: pppp2-{T}(V0,V1,V2,V4,V3)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #7: input, references = 3, size of lhs = 2:
% 0.18/0.48 pppp2-{F}(V0,V1,V2,V3,V4), related-{F}(V0,V2,V3) | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #8: input, references = 4, size of lhs = 1:
% 0.18/0.48 pppp2-{F}(V0,V1,V2,V3,V4) | in-{T}(V3,V1)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #9: input, references = 3, size of lhs = 1:
% 0.18/0.48 pppp2-{F}(V0,V1,V2,V3,V4) | element-{T}(V3,V4)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #10: input, references = 3, size of lhs = 4:
% 0.18/0.48 P_the_carrier-{F}(V0,V1), rel_str-{F}(V0), element-{F}(V2,V1), relstr_set_smaller-{F}(V0,V3,V2) | pppp1-{T}(V0,V3,V2)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #11: input, references = 4, size of lhs = 4:
% 0.18/0.48 P_the_carrier-{F}(V0,V1), rel_str-{F}(V0), element-{F}(V2,V1), pppp1-{F}(V0,V3,V2) | relstr_set_smaller-{T}(V0,V3,V2)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #12: input, references = 3, size of lhs = 4:
% 0.18/0.48 P_the_carrier-{F}(V0,V3), pppp1-{F}(V0,V1,V2), element-{F}(V4,V3), in-{F}(V4,V1) | related-{T}(V0,V4,V2)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #13: input, references = 4, size of lhs = 3:
% 0.18/0.48 #-{F} V1, #-{F} V2, P_the_carrier-{F}(V0,V3) | pppp1-{T}(V0,V1,V2), pppp13-{T}(V0,V1,V2,V3)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #14: input, references = 4, size of lhs = 1:
% 0.18/0.48 pppp13-{F}(V0,V1,V2,V3) | EXISTS V4: pppp3-{T}(V0,V1,V2,V4,V3)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #15: input, references = 3, size of lhs = 2:
% 0.18/0.48 pppp3-{F}(V0,V1,V2,V3,V4), related-{F}(V0,V3,V2) | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #16: input, references = 4, size of lhs = 1:
% 0.18/0.48 pppp3-{F}(V0,V1,V2,V3,V4) | in-{T}(V3,V1)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #17: input, references = 3, size of lhs = 1:
% 0.18/0.48 pppp3-{F}(V0,V1,V2,V3,V4) | element-{T}(V3,V4)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #18: input, references = 3, size of lhs = 1:
% 0.18/0.48 rel_str-{F}(V0) | one_sorted_str-{T}(V0)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #19: input, references = 3, size of lhs = 0:
% 0.18/0.48 FALSE | EXISTS V0: pppp4-{T}(V0)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #20: input, references = 3, size of lhs = 1:
% 0.18/0.48 pppp4-{F}(V0) | rel_str-{T}(V0)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #21: input, references = 3, size of lhs = 0:
% 0.18/0.48 FALSE | EXISTS V0: pppp5-{T}(V0)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #22: input, references = 3, size of lhs = 1:
% 0.18/0.48 pppp5-{F}(V0) | one_sorted_str-{T}(V0)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #23: input, references = 3, size of lhs = 1:
% 0.18/0.48 #-{F} V0 | EXISTS V1: pppp6-{T}(V0,V1)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #24: input, references = 3, size of lhs = 1:
% 0.18/0.48 pppp6-{F}(V0,V1) | element-{T}(V1,V0)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #25: input, references = 4, size of lhs = 1:
% 0.18/0.48 P_empty_set-{F}(V0) | empty-{T}(V0)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #26: input, references = 3, size of lhs = 1:
% 0.18/0.48 P_empty_set-{F}(V0) | EXISTS V1: pppp7-{T}(V1)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #27: input, references = 3, size of lhs = 1:
% 0.18/0.48 pppp7-{F}(V0) | finite-{T}(V0)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #28: input, references = 3, size of lhs = 2:
% 0.18/0.48 pppp7-{F}(V0), empty-{F}(V0) | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #29: input, references = 4, size of lhs = 1:
% 0.18/0.48 P_empty_set-{F}(V0) | EXISTS V1: pppp8-{T}(V1)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #30: input, references = 5, size of lhs = 1:
% 0.18/0.48 pppp8-{F}(V0) | empty-{T}(V0)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #31: input, references = 3, size of lhs = 1:
% 0.18/0.48 P_empty_set-{F}(V0) | EXISTS V1: pppp9-{T}(V1)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #32: input, references = 3, size of lhs = 2:
% 0.18/0.48 pppp9-{F}(V0), empty-{F}(V0) | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #33: input, references = 3, size of lhs = 2:
% 0.18/0.48 P_empty_set-{F}(V0), in-{F}(V1,V2) | element-{T}(V1,V2)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #34: input, references = 4, size of lhs = 2:
% 0.18/0.48 P_empty_set-{F}(V0), element-{F}(V2,V1) | empty-{T}(V1), in-{T}(V2,V1)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #35: input, references = 4, size of lhs = 3:
% 0.18/0.48 P_empty_set-{F}(V0), empty-{F}(V1), V1 == V0 | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #36: input, references = 4, size of lhs = 1:
% 0.18/0.48 P_empty_set-{F}(V0) | EXISTS V1: pppp11-{T}(V1,V0)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #37: input, references = 4, size of lhs = 2:
% 0.18/0.48 pppp11-{F}(V0,V1), P_the_carrier-{F}(V0,V2) | EXISTS V3: pppp10-{T}(V0,V3,V1,V2)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #38: input, references = 4, size of lhs = 2:
% 0.18/0.48 pppp11-{F}(V0,V1), P_the_carrier-{F}(V0,V2) | rel_str-{T}(V0)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #39: input, references = 4, size of lhs = 3:
% 0.18/0.48 pppp10-{F}(V0,V1,V2,V3), relstr_set_smaller-{F}(V0,V2,V1), relstr_element_smaller-{F}(V0,V2,V1) | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #40: input, references = 4, size of lhs = 1:
% 0.18/0.48 pppp10-{F}(V0,V1,V2,V3) | element-{T}(V1,V3)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #41: input, references = 5, size of lhs = 3:
% 0.18/0.48 P_empty_set-{F}(V0), empty-{F}(V1), in-{F}(V2,V1) | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #42: input, references = 4, size of lhs = 4:
% 0.18/0.48 P_empty_set-{F}(V0), empty-{F}(V1), empty-{F}(V2), V2 == V1 | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #43: input, references = 4, size of lhs = 1:
% 0.18/0.48 #-{F} V0 | EXISTS V1: P_the_carrier-{T}(V0,V1)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #44: input, references = 4, size of lhs = 0:
% 0.18/0.48 FALSE | EXISTS V0: P_empty_set-{T}(V0)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 number of initial rules = 45
% 0.18/0.48
% 0.18/0.48 Simplifiers:
% 0.18/0.48 #45: unsound, references = 3, size of lhs = 3:
% 0.18/0.48 P_the_carrier-{F}(V0,V1), P_the_carrier-{F}(V0,V3), V1 == V3 | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #46: unsound, references = 3, size of lhs = 3:
% 0.18/0.48 P_empty_set-{F}(V0), P_empty_set-{F}(V1), V0 == V1 | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #47: unsound, references = 3, size of lhs = 3:
% 0.18/0.48 pppp2-{F}(V0,V1,V2,V3,V4), pppp2-{F}(V0,V1,V2,V8,V4), V3 == V8 | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #48: unsound, references = 3, size of lhs = 3:
% 0.18/0.48 pppp2-{F}(V0,V1,V2,V3,V4), pppp2-{F}(V0,V6,V7,V8,V9), V4 == V9 | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #49: unsound, references = 3, size of lhs = 3:
% 0.18/0.48 pppp3-{F}(V0,V1,V2,V3,V4), pppp3-{F}(V0,V1,V2,V8,V4), V3 == V8 | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #50: unsound, references = 3, size of lhs = 3:
% 0.18/0.48 pppp3-{F}(V0,V1,V2,V3,V4), pppp3-{F}(V0,V6,V7,V8,V9), V4 == V9 | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #51: unsound, references = 3, size of lhs = 3:
% 0.18/0.48 pppp4-{F}(V0), pppp4-{F}(V1), V0 == V1 | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #52: unsound, references = 3, size of lhs = 3:
% 0.18/0.48 pppp5-{F}(V0), pppp5-{F}(V1), V0 == V1 | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #53: unsound, references = 3, size of lhs = 3:
% 0.18/0.48 pppp6-{F}(V0,V1), pppp6-{F}(V0,V3), V1 == V3 | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #54: unsound, references = 3, size of lhs = 3:
% 0.18/0.48 pppp7-{F}(V0), pppp7-{F}(V1), V0 == V1 | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #55: unsound, references = 3, size of lhs = 3:
% 0.18/0.48 pppp8-{F}(V0), pppp8-{F}(V1), V0 == V1 | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #56: unsound, references = 3, size of lhs = 3:
% 0.18/0.48 pppp9-{F}(V0), pppp9-{F}(V1), V0 == V1 | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #57: unsound, references = 3, size of lhs = 3:
% 0.18/0.48 pppp10-{F}(V0,V1,V2,V3), pppp10-{F}(V0,V5,V2,V3), V1 == V5 | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #58: unsound, references = 3, size of lhs = 3:
% 0.18/0.48 pppp10-{F}(V0,V1,V2,V3), pppp10-{F}(V4,V5,V2,V7), V0 == V4 | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #59: unsound, references = 3, size of lhs = 3:
% 0.18/0.48 pppp10-{F}(V0,V1,V2,V3), pppp10-{F}(V4,V5,V6,V7), V2 == V6 | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #60: unsound, references = 3, size of lhs = 3:
% 0.18/0.48 pppp10-{F}(V0,V1,V2,V3), pppp10-{F}(V0,V5,V6,V7), V3 == V7 | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #61: unsound, references = 3, size of lhs = 3:
% 0.18/0.48 pppp11-{F}(V0,V1), pppp11-{F}(V2,V1), V0 == V2 | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #62: unsound, references = 3, size of lhs = 3:
% 0.18/0.48 pppp11-{F}(V0,V1), pppp11-{F}(V2,V3), V1 == V3 | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #63: unsound, references = 3, size of lhs = 3:
% 0.18/0.48 pppp12-{F}(V0,V1,V2,V3), pppp12-{F}(V0,V5,V6,V7), V3 == V7 | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #64: unsound, references = 3, size of lhs = 3:
% 0.18/0.48 pppp13-{F}(V0,V1,V2,V3), pppp13-{F}(V0,V5,V6,V7), V3 == V7 | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 number of simplifiers = 20
% 0.18/0.48
% 0.18/0.48 Learnt:
% 0.18/0.48 #68: mergings( V0 == V3; #65 ), references = 1, size of lhs = 3:
% 0.18/0.48 P_empty_set-{F}(V0), element-{F}(V1,V2), V2 == V0 | in-{T}(V1,V2)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #71: mergings( V0 == V3, V2 == V3; #66 ), references = 1, size of lhs = 4:
% 0.18/0.48 P_empty_set-{F}(V0), empty-{F}(V1), V0 == V1, element-{F}(V2,V0) | in-{T}(V2,V0)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #79: mergings( V0 == V2; #76 ), references = 1, size of lhs = 1:
% 0.18/0.48 P_empty_set-{F}(V0) | pppp8-{T}(V0)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #81: mergings( V0 == V2; #77 ), references = 1, size of lhs = 2:
% 0.18/0.48 P_empty_set-{F}(V0), empty-{F}(V1) | pppp8-{T}(V1)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #89: exists( #14, #87 ), references = 1, size of lhs = 3:
% 0.18/0.48 P_empty_set-{F}(V0), empty-{F}(V1), pppp13-{F}(V2,V1,V3,V4) | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #91: disj( #13, exists( #14, #87 ) ), references = 2, size of lhs = 4:
% 0.18/0.48 P_empty_set-{F}(V0), empty-{F}(V1), P_the_carrier-{F}(V2,V3), #-{F} V4 | pppp1-{T}(V2,V1,V4)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #96: exists( #6, #94 ), references = 1, size of lhs = 3:
% 0.18/0.48 P_empty_set-{F}(V0), empty-{F}(V1), pppp12-{F}(V2,V1,V3,V4) | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #98: disj( #5, exists( #6, #94 ) ), references = 2, size of lhs = 4:
% 0.18/0.48 P_empty_set-{F}(V0), empty-{F}(V1), P_the_carrier-{F}(V2,V3), #-{F} V4 | pppp0-{T}(V2,V1,V4)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #115: mergings( V6 == V7, V7 == V2, V4 == V5; #111 ), references = 2, size of lhs = 5:
% 0.18/0.48 P_empty_set-{F}(V0), empty-{F}(V1), rel_str-{F}(V2), pppp11-{F}(V2,V1), P_the_carrier-{F}(V2,V3) | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #120: mergings( V3 == V4; #118 ), references = 1, size of lhs = 3:
% 0.18/0.49 P_empty_set-{F}(V0), empty-{F}(V1), pppp11-{F}(V2,V1) | FALSE
% 0.18/0.49 (used 0 times, uses = {})
% 0.18/0.49
% 0.18/0.49 #123: mergings( V0 == V2; #121 ), references = 1, size of lhs = 2:
% 0.18/0.49 empty-{F}(V0), P_empty_set-{F}(V0) | FALSE
% 0.18/0.49 (used 0 times, uses = {})
% 0.18/0.49
% 0.18/0.49 #126: exists( #44, #124 ), references = 1, size of lhs = 0:
% 0.18/0.49 FALSE | FALSE
% 0.18/0.49 (used 0 times, uses = {})
% 0.18/0.49
% 0.18/0.49 number of learnt formulas = 12
% 0.18/0.49
% 0.18/0.49
% 0.18/0.49 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.49
% 0.18/0.49 randbase = 1
%------------------------------------------------------------------------------