TSTP Solution File: SET821-2 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SET821-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n006.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 06:16:45 EDT 2022
% Result : Unsatisfiable 15.36s 15.57s
% Output : Refutation 15.36s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SET821-2 : TPTP v8.1.0. Released v3.2.0.
% 0.11/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.33 % Computer : n006.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Sat Jul 23 02:38:32 EDT 2022
% 0.13/0.33 % CPUTime :
% 15.36/15.57 GeoParameters:
% 15.36/15.57
% 15.36/15.57 tptp_input = 1
% 15.36/15.57 tptp_output = 0
% 15.36/15.57 nonempty = 1
% 15.36/15.57 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 15.36/15.57 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 15.36/15.57
% 15.36/15.57
% 15.36/15.57 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 15.36/15.57 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 15.36/15.57
% 15.36/15.57 RuleSystem INPUT:
% 15.36/15.57
% 15.36/15.57 Initial Rules:
% 15.36/15.57 #0: input, references = 5, size of lhs = 2:
% 15.36/15.57 class_Orderings_Oorder-{F}(V0), c_less-{F}(V1,V1,V0) | FALSE
% 15.36/15.57 (used 0 times, uses = {})
% 15.36/15.57
% 15.36/15.57 #1: input, references = 14, size of lhs = 4:
% 15.36/15.57 P_tc_set-{F}(V0,V3), P_c_uminus-{F}(V2,V3,V4), c_in-{F}(V1,V2,V0), c_in-{F}(V1,V4,V0) | FALSE
% 15.36/15.57 (used 0 times, uses = {})
% 15.36/15.57
% 15.36/15.57 #2: input, references = 17, size of lhs = 3:
% 15.36/15.57 #-{F} V1, P_tc_set-{F}(V0,V3), P_c_uminus-{F}(V2,V3,V4) | c_in-{T}(V1,V2,V0), c_in-{T}(V1,V4,V0)
% 15.36/15.57 (used 0 times, uses = {})
% 15.36/15.57
% 15.36/15.57 #3: input, references = 10, size of lhs = 2:
% 15.36/15.57 c_in-{F}(V1,V2,V0), P_c_insert-{F}(V3,V2,V0,V4) | c_in-{T}(V1,V4,V0)
% 15.36/15.57 (used 0 times, uses = {})
% 15.36/15.57
% 15.36/15.57 #4: input, references = 5, size of lhs = 1:
% 15.36/15.57 P_c_insert-{F}(V1,V2,V0,V3) | c_in-{T}(V1,V3,V0)
% 15.36/15.57 (used 0 times, uses = {})
% 15.36/15.57
% 15.36/15.57 #5: input, references = 7, size of lhs = 3:
% 15.36/15.57 P_c_insert-{F}(V1,V2,V3,V4), c_in-{F}(V0,V4,V3), V0 == V1 | c_in-{T}(V0,V2,V3)
% 15.36/15.57 (used 0 times, uses = {})
% 15.36/15.57
% 15.36/15.57 #6: input, references = 4, size of lhs = 3:
% 15.36/15.57 P_v_a-{F}(V0), P_v_b-{F}(V1), P_tc_IntDef_Oint-{F}(V2) | c_less-{T}(V0,V1,V2)
% 15.36/15.57 (used 0 times, uses = {})
% 15.36/15.57
% 15.36/15.57 #7: input, references = 5, size of lhs = 4:
% 15.36/15.57 P_v_a-{F}(V0), P_v_b-{F}(V1), P_tc_IntDef_Oint-{F}(V2), P_v_c-{F}(V3) | c_less-{T}(V1,V3,V2)
% 15.36/15.57 (used 0 times, uses = {})
% 15.36/15.57
% 15.36/15.57 #8: input, references = 4, size of lhs = 5:
% 15.36/15.57 P_v_a-{F}(V0), P_v_b-{F}(V1), P_tc_IntDef_Oint-{F}(V2), P_v_c-{F}(V3), c_in-{F}(V1,V4,V2) | c_in-{T}(V3,V4,V2), c_in-{T}(V0,V4,V2)
% 15.36/15.57 (used 0 times, uses = {})
% 15.36/15.57
% 15.36/15.57 #9: input, references = 5, size of lhs = 4:
% 15.36/15.57 P_v_a-{F}(V0), P_v_b-{F}(V1), P_tc_IntDef_Oint-{F}(V2), P_v_c-{F}(V3) | class_Orderings_Oorder-{T}(V2)
% 15.36/15.57 (used 0 times, uses = {})
% 15.36/15.57
% 15.36/15.57 #10: input, references = 7, size of lhs = 2:
% 15.36/15.57 #-{F} V0, #-{F} V1 | EXISTS V2: P_c_uminus-{T}(V0,V1,V2)
% 15.36/15.57 (used 0 times, uses = {})
% 15.36/15.57
% 15.36/15.57 #11: input, references = 5, size of lhs = 1:
% 15.36/15.57 #-{F} V0 | EXISTS V1: P_tc_set-{T}(V0,V1)
% 15.36/15.57 (used 0 times, uses = {})
% 15.36/15.57
% 15.36/15.57 #12: input, references = 5, size of lhs = 3:
% 15.36/15.57 #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_c_insert-{T}(V0,V1,V2,V3)
% 15.36/15.57 (used 0 times, uses = {})
% 15.36/15.57
% 15.36/15.57 #13: input, references = 4, size of lhs = 0:
% 15.36/15.57 FALSE | EXISTS V0: P_v_a-{T}(V0)
% 15.36/15.57 (used 0 times, uses = {})
% 15.36/15.57
% 15.36/15.57 #14: input, references = 4, size of lhs = 0:
% 15.36/15.57 FALSE | EXISTS V0: P_v_b-{T}(V0)
% 15.36/15.57 (used 0 times, uses = {})
% 15.36/15.57
% 15.36/15.57 #15: input, references = 5, size of lhs = 0:
% 15.36/15.57 FALSE | EXISTS V0: P_tc_IntDef_Oint-{T}(V0)
% 15.36/15.57 (used 0 times, uses = {})
% 15.36/15.57
% 15.36/15.57 #16: input, references = 5, size of lhs = 0:
% 15.36/15.57 FALSE | EXISTS V0: P_v_c-{T}(V0)
% 15.36/15.57 (used 0 times, uses = {})
% 15.36/15.57
% 15.36/15.57 number of initial rules = 17
% 15.36/15.57
% 15.36/15.57 Simplifiers:
% 15.36/15.57 #17: unsound, references = 3, size of lhs = 3:
% 15.36/15.57 class_Orderings_Oorder-{F}(V0), class_Orderings_Oorder-{F}(V1), V0 == V1 | FALSE
% 15.36/15.57 (used 0 times, uses = {})
% 15.36/15.57
% 15.36/15.57 #18: unsound, references = 3, size of lhs = 3:
% 15.36/15.57 c_less-{F}(V0,V1,V2), c_less-{F}(V3,V4,V5), V2 == V5 | FALSE
% 15.36/15.57 (used 0 times, uses = {})
% 15.36/15.57
% 15.36/15.57 #19: unsound, references = 3, size of lhs = 3:
% 15.36/15.57 P_c_uminus-{F}(V0,V1,V2), P_c_uminus-{F}(V0,V1,V5), V2 == V5 | FALSE
% 15.36/15.57 (used 0 times, uses = {})
% 15.36/15.57
% 15.36/15.57 #20: unsound, references = 3, size of lhs = 3:
% 15.36/15.57 P_tc_set-{F}(V0,V1), P_tc_set-{F}(V0,V3), V1 == V3 | FALSE
% 15.36/15.57 (used 0 times, uses = {})
% 15.36/15.57
% 15.36/15.57 #21: unsound, references = 3, size of lhs = 3:
% 15.36/15.57 P_c_insert-{F}(V0,V1,V2,V3), P_c_insert-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 15.36/15.57 (used 0 times, uses = {})
% 15.36/15.57
% 15.36/15.57 #22: unsound, references = 3, size of lhs = 3:
% 15.36/15.57 P_v_a-{F}(V0), P_v_a-{F}(V1), V0 == V1 | FALSE
% 15.36/15.57 (used 0 times, uses = {})
% 15.36/15.57
% 15.36/15.57 #23: unsound, references = 3, size of lhs = 3:
% 15.36/15.57 P_v_b-{F}(V0), P_v_b-{F}(V1), V0 == V1 | FALSE
% 15.36/15.57 (used 0 times, uses = {})
% 15.36/15.57
% 15.36/15.57 #24: unsound, references = 3, size of lhs = 3:
% 15.36/15.57 P_tc_IntDef_Oint-{F}(V0), P_tc_IntDef_Oint-{F}(V1), V0 == V1 | FALSE
% 15.36/15.57 (used 0 times, uses = {})
% 15.36/15.57
% 15.36/15.57 #25: unsound, references = 3, size of lhs = 3:
% 15.36/15.57 P_v_c-{F}(V0), P_v_c-{F}(V1), V0 == V1 | FALSE
% 15.36/15.57 (used 0 times, uses = {})
% 15.36/15.57
% 15.36/15.57 number of simplifiers = 9
% 15.36/15.57
% 15.36/15.57 Learnt:
% 15.36/15.57 #28: exists( #16, #26 ), references = 2, size of lhs = 4:
% 15.36/15.57 P_v_a-{F}(V0), P_v_b-{F}(V1), P_tc_IntDef_Oint-{F}(V2), c_less-{F}(V3,V3,V2) | FALSE
% 15.36/15.57 (used 0 times, uses = {})
% 15.36/15.57
% 15.36/15.57 #33: mergings( V1 == V2, V2 == V3; #30 ), references = 2, size of lhs = 2:
% 15.36/15.57 P_v_a-{F}(V0), P_v_b-{F}(V0) | FALSE
% 15.36/15.57 (used 0 times, uses = {})
% 15.36/15.57
% 15.36/15.57 #40: mergings( V2 == V5, V3 == V4; #37 ), references = 1, size of lhs = 3:
% 15.36/15.57 P_tc_set-{F}(V0,V1), P_c_uminus-{F}(V2,V1,V2), #-{F} V3 | c_in-{T}(V3,V2,V0)
% 15.36/15.57 (used 0 times, uses = {})
% 15.36/15.57
% 15.36/15.57 #64: mergings( V2 == V5; #62 ), references = 3, size of lhs = 4:
% 15.36/15.57 P_tc_set-{F}(V0,V1), P_c_uminus-{F}(V2,V1,V3), P_c_uminus-{F}(V3,V1,V4), c_in-{F}(V5,V2,V0) | c_in-{T}(V5,V4,V0)
% 15.36/15.57 (used 0 times, uses = {})
% 15.36/15.57
% 15.36/15.57 #69: mergings( V6 == V7, V7 == V8; #66 ), references = 1, size of lhs = 9:
% 15.36/15.57 P_tc_set-{F}(V0,V1), P_c_uminus-{F}(V2,V1,V3), P_tc_set-{F}(V4,V5), P_c_uminus-{F}(V6,V5,V7), P_c_uminus-{F}(V7,V5,V8), c_in-{F}(V9,V6,V4), P_c_uminus-{F}(V8,V5,V10), c_in-{F}(V9,V10,V4), #-{F} V11 | c_in-{T}(V11,V3,V0)
% 15.36/15.57 (used 0 times, uses = {})
% 15.36/15.57
% 15.36/15.57 #75: mergings( V2 == V5, V4 == V7, V5 == V6; #71 ), references = 1, size of lhs = 5:
% 15.36/15.57 P_tc_set-{F}(V0,V1), P_c_uminus-{F}(V2,V1,V3), P_c_uminus-{F}(V3,V1,V4), P_c_uminus-{F}(V4,V1,V2), #-{F} V5 | c_in-{T}(V5,V3,V0)
% 15.36/15.57 (used 0 times, uses = {})
% 15.36/15.57
% 15.36/15.57 #86: mergings( V2 == V5; #84 ), references = 1, size of lhs = 5:
% 15.36/15.57 P_tc_set-{F}(V0,V1), P_c_uminus-{F}(V2,V1,V3), P_c_uminus-{F}(V3,V1,V4), P_c_insert-{F}(V5,V3,V0,V4), #-{F} V6 | c_in-{T}(V6,V2,V0)
% 15.36/15.57 (used 0 times, uses = {})
% 15.36/15.57
% 15.36/15.57 #157: mergings( V2 == V5, V4 == V7, V5 == V6, V7 == V9; #152 ), references = 1, size of lhs = 7:
% 15.36/15.57 P_tc_set-{F}(V0,V1), P_c_uminus-{F}(V2,V1,V3), P_c_uminus-{F}(V3,V1,V4), P_c_insert-{F}(V5,V4,V0,V6), P_c_insert-{F}(V7,V3,V0,V6), #-{F} V8, V8 == V7 | c_in-{T}(V8,V3,V0)
% 15.36/15.57 (used 0 times, uses = {})
% 15.36/15.57
% 15.36/15.57 #318: disj( #8, #5+#1 ), references = 1, size of lhs = 10:
% 15.36/15.57 P_v_a-{F}(V0), P_v_b-{F}(V1), P_tc_IntDef_Oint-{F}(V2), P_v_c-{F}(V3), P_tc_set-{F}(V2,V4), c_in-{F}(V3,V5,V2), P_c_uminus-{F}(V5,V4,V6), c_in-{F}(V1,V7,V2), P_c_insert-{F}(V8,V6,V2,V7), V3 == V8 | c_in-{T}(V0,V7,V2)
% 15.36/15.57 (used 0 times, uses = {})
% 15.36/15.57
% 15.36/15.57 #324: mergings( V6 == V8; #322 ), references = 2, size of lhs = 11:
% 15.36/15.57 P_v_a-{F}(V0), P_v_b-{F}(V1), V0 == V1, P_tc_IntDef_Oint-{F}(V2), P_v_c-{F}(V3), V3 == V1, c_in-{F}(V3,V4,V2), P_tc_set-{F}(V2,V5), P_c_uminus-{F}(V4,V5,V6), c_in-{F}(V0,V7,V2), P_c_uminus-{F}(V7,V5,V6) | FALSE
% 15.36/15.57 (used 0 times, uses = {})
% 15.36/15.57
% 15.36/15.57 #334: mergings( V2 == V6, V4 == V7; #331 ), references = 1, size of lhs = 7:
% 15.36/15.57 P_v_a-{F}(V0), P_v_c-{F}(V0), P_v_b-{F}(V1), V0 == V1, P_tc_IntDef_Oint-{F}(V2), P_tc_set-{F}(V2,V3), P_c_uminus-{F}(V4,V3,V5) | c_in-{T}(V0,V5,V2)
% 15.36/15.57 (used 0 times, uses = {})
% 15.36/15.57
% 15.36/15.57 #354: exists( #10, #324 ), references = 3, size of lhs = 9:
% 15.36/15.57 P_v_a-{F}(V0), P_v_b-{F}(V1), V0 == V1, P_tc_IntDef_Oint-{F}(V2), P_v_c-{F}(V3), V3 == V1, c_in-{F}(V3,V4,V2), c_in-{F}(V0,V4,V2), P_tc_set-{F}(V2,V5) | FALSE
% 15.36/15.57 (used 0 times, uses = {})
% 15.36/15.57
% 15.36/15.57 #359: mergings( V1 == V7, V3 == V5; #356 ), references = 1, size of lhs = 6:
% 15.36/15.57 P_v_a-{F}(V0), P_v_c-{F}(V0), P_v_b-{F}(V1), V0 == V1, P_tc_IntDef_Oint-{F}(V2), P_tc_set-{F}(V2,V3) | FALSE
% 15.36/15.57 (used 0 times, uses = {})
% 15.36/15.57
% 15.36/15.57 #362: mergings( V2 == V4; #360 ), references = 1, size of lhs = 5:
% 15.36/15.57 P_v_a-{F}(V0), P_v_c-{F}(V0), P_v_b-{F}(V1), V0 == V1, P_tc_IntDef_Oint-{F}(V2) | FALSE
% 15.36/15.57 (used 0 times, uses = {})
% 15.36/15.57
% 15.36/15.57 #416: mergings( V2 == V5; #414 ), references = 1, size of lhs = 5:
% 15.36/15.57 P_tc_set-{F}(V0,V1), P_c_uminus-{F}(V2,V1,V3), P_c_uminus-{F}(V4,V1,V3), P_c_insert-{F}(V5,V3,V0,V4), #-{F} V6 | c_in-{T}(V6,V2,V0)
% 15.36/15.57 (used 0 times, uses = {})
% 15.36/15.57
% 15.36/15.57 #455: mergings( V2 == V5; #453 ), references = 1, size of lhs = 5:
% 15.36/15.57 P_tc_set-{F}(V0,V1), P_c_uminus-{F}(V2,V1,V3), P_c_insert-{F}(V4,V2,V0,V5), P_c_uminus-{F}(V5,V1,V6), c_in-{F}(V7,V6,V0) | c_in-{T}(V7,V3,V0)
% 15.36/15.57 (used 0 times, uses = {})
% 15.36/15.57
% 15.36/15.57 #555: mergings( V2 == V5; #553 ), references = 1, size of lhs = 7:
% 15.36/15.57 P_tc_set-{F}(V0,V1), P_c_uminus-{F}(V2,V1,V3), P_c_uminus-{F}(V4,V1,V3), P_c_insert-{F}(V5,V3,V0,V6), P_c_insert-{F}(V7,V4,V0,V6), #-{F} V8, V8 == V7 | c_in-{T}(V8,V2,V0)
% 15.36/15.57 (used 0 times, uses = {})
% 15.36/15.57
% 15.36/15.57 #603: mergings( V2 == V5; #601 ), references = 1, size of lhs = 4:
% 15.36/15.57 P_tc_set-{F}(V0,V1), P_c_uminus-{F}(V2,V1,V3), P_c_uminus-{F}(V3,V1,V4), c_in-{F}(V5,V4,V0) | c_in-{T}(V5,V2,V0)
% 15.36/15.57 (used 0 times, uses = {})
% 15.36/15.57
% 15.36/15.57 #669: mergings( V2 == V5, V4 == V6; #666 ), references = 1, size of lhs = 4:
% 15.36/15.57 P_tc_set-{F}(V0,V1), P_c_uminus-{F}(V2,V1,V3), P_c_insert-{F}(V4,V2,V0,V3), #-{F} V5 | c_in-{T}(V5,V3,V0)
% 15.36/15.57 (used 0 times, uses = {})
% 15.36/15.57
% 15.36/15.57 #703: mergings( V2 == V7; #700 ), references = 4, size of lhs = 9:
% 15.36/15.57 P_v_a-{F}(V0), P_v_b-{F}(V1), V0 == V1, P_tc_IntDef_Oint-{F}(V2), P_v_c-{F}(V3), V3 == V1, c_in-{F}(V0,V4,V2), P_tc_set-{F}(V2,V5), P_c_uminus-{F}(V4,V5,V6) | c_in-{T}(V3,V6,V2)
% 15.36/15.57 (used 0 times, uses = {})
% 15.36/15.57
% 15.36/15.57 #706: mergings( V2 == V7, V8 == V4; #701 ), references = 1, size of lhs = 10:
% 15.36/15.57 P_v_a-{F}(V0), P_v_b-{F}(V1), V0 == V1, P_tc_IntDef_Oint-{F}(V2), P_v_c-{F}(V3), V3 == V1, P_tc_set-{F}(V2,V4), c_in-{F}(V0,V5,V2), P_c_uminus-{F}(V5,V4,V6), P_c_uminus-{F}(V7,V4,V6) | c_in-{T}(V3,V6,V2)
% 15.36/15.57 (used 0 times, uses = {})
% 15.36/15.57
% 15.36/15.57 #713: exists( #12, #711 ), references = 3, size of lhs = 8:
% 15.36/15.57 P_v_a-{F}(V0), P_v_b-{F}(V1), V0 == V1, P_tc_IntDef_Oint-{F}(V2), P_v_c-{F}(V3), V3 == V1, c_in-{F}(V3,V4,V2), P_tc_set-{F}(V2,V5) | FALSE
% 15.36/15.57 (used 0 times, uses = {})
% 15.36/15.57
% 15.36/15.57 #740: mergings( V2 == V8, V4 == V9, V8 == V11, V0 == V6, V5 == V7; #734 ), references = 3, size of lhs = 8:
% 15.36/15.57 P_v_a-{F}(V0), P_v_b-{F}(V1), V0 == V1, P_tc_IntDef_Oint-{F}(V2), P_v_c-{F}(V3), V3 == V1, P_tc_set-{F}(V2,V4), P_c_uminus-{F}(V5,V4,V6) | c_in-{T}(V0,V6,V2)
% 15.36/15.57 (used 0 times, uses = {})
% 15.36/15.57
% 15.36/15.57 #748: exists( #10, #743 ), references = 1, size of lhs = 8:
% 15.36/15.57 P_v_a-{F}(V0), P_v_b-{F}(V1), V0 == V1, P_tc_IntDef_Oint-{F}(V2), P_v_c-{F}(V3), V3 == V1, P_tc_set-{F}(V2,V4), c_in-{F}(V0,V5,V2) | FALSE
% 15.36/15.57 (used 0 times, uses = {})
% 15.36/15.57
% 15.36/15.57 #752: mergings( V1 == V9, V3 == V5, V4 == V6; #746 ), references = 1, size of lhs = 8:
% 15.36/15.57 P_v_a-{F}(V0), P_v_b-{F}(V1), V0 == V1, P_tc_IntDef_Oint-{F}(V2), c_in-{F}(V0,V3,V2), P_v_c-{F}(V4), V4 == V1, P_tc_set-{F}(V2,V5) | FALSE
% 15.36/15.57 (used 0 times, uses = {})
% 15.36/15.57
% 15.36/15.57 #758: mergings( V1 == V11, V5 == V7, V3 == V6, V6 == V8, V4 == V10; #747 ), references = 1, size of lhs = 8:
% 15.36/15.57 P_v_a-{F}(V0), P_v_b-{F}(V1), V0 == V1, P_tc_IntDef_Oint-{F}(V2), c_in-{F}(V0,V3,V2), P_v_c-{F}(V4), V4 == V1, P_tc_set-{F}(V2,V5) | FALSE
% 15.36/15.57 (used 0 times, uses = {})
% 15.36/15.57
% 15.36/15.57 #771: mergings( V1 == V10, V10 == V12, V4 == V7, V3 == V5, V5 == V8, V6 == V11; #762 ), references = 1, size of lhs = 7:
% 15.36/15.57 P_v_a-{F}(V0), P_v_b-{F}(V1), V0 == V1, P_tc_IntDef_Oint-{F}(V2), P_v_c-{F}(V3), V3 == V1, P_tc_set-{F}(V2,V4) | FALSE
% 15.36/15.57 (used 0 times, uses = {})
% 15.36/15.57
% 15.36/15.57 #779: mergings( V3 == V6, V2 == V4, V4 == V7, V5 == V8; #772 ), references = 1, size of lhs = 6:
% 15.36/15.57 P_v_a-{F}(V0), P_v_b-{F}(V1), V0 == V1, P_tc_IntDef_Oint-{F}(V2), P_v_c-{F}(V3), V3 == V1 | FALSE
% 15.36/15.57 (used 0 times, uses = {})
% 15.36/15.57
% 15.36/15.57 #786: mergings( V2 == V4, V1 == V3, V3 == V5; #780 ), references = 1, size of lhs = 4:
% 15.36/15.57 P_v_a-{F}(V0), P_v_b-{F}(V1), V0 == V1, P_tc_IntDef_Oint-{F}(V2) | P_v_c-{T}(V1)
% 15.36/15.57 (used 0 times, uses = {})
% 15.36/15.57
% 15.36/15.57 #813: mergings( V1 == V2, V2 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14; #799 ), references = 1, size of lhs = 3:
% 15.36/15.57 P_v_a-{F}(V0), P_v_b-{F}(V1), V0 == V1 | FALSE
% 15.36/15.57 (used 0 times, uses = {})
% 15.36/15.57
% 15.36/15.57 #823: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8; #814 ), references = 1, size of lhs = 1:
% 15.36/15.57 P_v_a-{F}(V0) | P_v_b-{T}(V0)
% 15.36/15.57 (used 0 times, uses = {})
% 15.36/15.57
% 15.36/15.57 #827: exists( #13, #825 ), references = 1, size of lhs = 0:
% 15.36/15.57 FALSE | FALSE
% 15.36/15.57 (used 0 times, uses = {})
% 15.36/15.57
% 15.36/15.57 number of learnt formulas = 32
% 15.36/15.57
% 15.36/15.57
% 15.36/15.57 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 15.36/15.57
% 15.36/15.57 randbase = 1
%------------------------------------------------------------------------------