TSTP Solution File: LAT266-2 by Geo-III---2018C
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%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : LAT266-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n012.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 06:08:09 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
% 0.06/0.12 % Problem : LAT266-2 : TPTP v8.1.0. Released v3.2.0.
% 0.06/0.13 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n012.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 20:31:07 EDT 2022
% 0.12/0.34 % 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/sandbox2/benchmark/theBenchmark.p
% 0.12/0.35 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 0.12/0.35
% 0.12/0.35
% 0.12/0.35 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.35 % SZS output start Refutation for /export/starexec/sandbox2/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 = 4, size of lhs = 6:
% 0.12/0.35 P_v_S-{F}(V0), P_v_cl-{F}(V1), P_t_a-{F}(V2), P_tc_Product__Type_Ounit-{F}(V3), P_c_Tarski_Opotype_Opset-{F}(V1,V2,V3,V4), P_tc_set-{F}(V2,V5) | c_lessequals-{T}(V0,V4,V5)
% 0.12/0.35 (used 0 times, uses = {})
% 0.12/0.35
% 0.12/0.35 #1: input, references = 4, size of lhs = 9:
% 0.12/0.35 P_v_S-{F}(V0), P_v_cl-{F}(V1), P_t_a-{F}(V2), P_tc_Product__Type_Ounit-{F}(V3), P_c_Tarski_Opotype_Opset-{F}(V1,V2,V3,V4), P_tc_set-{F}(V2,V5), P_c_Tarski_Odual-{F}(V1,V2,V6), P_c_Tarski_Opotype_Opset-{F}(V6,V2,V3,V7), c_lessequals-{F}(V0,V7,V5) | FALSE
% 0.12/0.35 (used 0 times, uses = {})
% 0.12/0.35
% 0.12/0.35 #2: input, references = 4, size of lhs = 10:
% 0.12/0.35 P_v_S-{F}(V0), P_v_cl-{F}(V1), P_t_a-{F}(V2), P_tc_Product__Type_Ounit-{F}(V3), P_c_Tarski_Opotype_Opset-{F}(V1,V2,V3,V4), P_tc_set-{F}(V2,V5), P_c_Tarski_Odual-{F}(V1,V2,V6), P_c_Tarski_Opotype_Opset-{F}(V6,V2,V3,V7), P_v_A-{F}(V8), V8 == V4 | FALSE
% 0.12/0.35 (used 0 times, uses = {})
% 0.12/0.35
% 0.12/0.35 #3: input, references = 4, size of lhs = 13:
% 0.12/0.35 P_v_S-{F}(V0), P_v_cl-{F}(V1), P_t_a-{F}(V2), P_tc_Product__Type_Ounit-{F}(V3), P_c_Tarski_Opotype_Opset-{F}(V1,V2,V3,V4), P_tc_set-{F}(V2,V5), P_c_Tarski_Odual-{F}(V1,V2,V6), P_c_Tarski_Opotype_Opset-{F}(V6,V2,V3,V7), P_v_A-{F}(V8), P_c_Tarski_Odual-{F}(V9,V10,V11), P_c_Tarski_Opotype_Opset-{F}(V11,V10,V3,V12), P_c_Tarski_Opotype_Opset-{F}(V9,V10,V3,V13), V12 == V13 | FALSE
% 0.12/0.35 (used 0 times, uses = {})
% 0.12/0.35
% 0.12/0.35 #4: input, references = 4, size of lhs = 0:
% 0.12/0.35 FALSE | EXISTS V0: P_v_S-{T}(V0)
% 0.12/0.35 (used 0 times, uses = {})
% 0.12/0.35
% 0.12/0.35 #5: input, references = 5, size of lhs = 3:
% 0.12/0.35 #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_c_Tarski_Opotype_Opset-{T}(V0,V1,V2,V3)
% 0.12/0.35 (used 0 times, uses = {})
% 0.12/0.35
% 0.12/0.35 #6: input, references = 4, size of lhs = 0:
% 0.12/0.35 FALSE | EXISTS V0: P_v_cl-{T}(V0)
% 0.12/0.35 (used 0 times, uses = {})
% 0.12/0.35
% 0.12/0.35 #7: input, references = 4, size of lhs = 0:
% 0.12/0.35 FALSE | EXISTS V0: P_t_a-{T}(V0)
% 0.12/0.35 (used 0 times, uses = {})
% 0.12/0.35
% 0.12/0.35 #8: input, references = 4, size of lhs = 0:
% 0.12/0.35 FALSE | EXISTS V0: P_tc_Product__Type_Ounit-{T}(V0)
% 0.12/0.35 (used 0 times, uses = {})
% 0.12/0.35
% 0.12/0.35 #9: input, references = 4, size of lhs = 1:
% 0.12/0.35 #-{F} V0 | EXISTS V1: P_tc_set-{T}(V0,V1)
% 0.12/0.35 (used 0 times, uses = {})
% 0.12/0.35
% 0.12/0.35 #10: input, references = 4, size of lhs = 2:
% 0.12/0.35 #-{F} V0, #-{F} V1 | EXISTS V2: P_c_Tarski_Odual-{T}(V0,V1,V2)
% 0.12/0.35 (used 0 times, uses = {})
% 0.12/0.35
% 0.12/0.35 #11: input, references = 4, size of lhs = 0:
% 0.12/0.35 FALSE | EXISTS V0: P_v_A-{T}(V0)
% 0.12/0.35 (used 0 times, uses = {})
% 0.12/0.35
% 0.12/0.35 number of initial rules = 12
% 0.12/0.35
% 0.12/0.35 Simplifiers:
% 0.12/0.35 #12: unsound, references = 3, size of lhs = 3:
% 0.12/0.35 c_lessequals-{F}(V0,V1,V2), c_lessequals-{F}(V3,V4,V5), V0 == V3 | FALSE
% 0.12/0.35 (used 0 times, uses = {})
% 0.12/0.35
% 0.12/0.35 #13: unsound, references = 3, size of lhs = 3:
% 0.12/0.35 P_v_S-{F}(V0), P_v_S-{F}(V1), V0 == V1 | FALSE
% 0.12/0.35 (used 0 times, uses = {})
% 0.12/0.35
% 0.12/0.35 #14: unsound, references = 3, size of lhs = 3:
% 0.12/0.35 P_c_Tarski_Opotype_Opset-{F}(V0,V1,V2,V3), P_c_Tarski_Opotype_Opset-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 0.12/0.35 (used 0 times, uses = {})
% 0.12/0.35
% 0.12/0.35 #15: unsound, references = 3, size of lhs = 3:
% 0.12/0.35 P_v_cl-{F}(V0), P_v_cl-{F}(V1), V0 == V1 | FALSE
% 0.12/0.35 (used 0 times, uses = {})
% 0.12/0.35
% 0.12/0.35 #16: unsound, references = 3, size of lhs = 3:
% 0.12/0.35 P_t_a-{F}(V0), P_t_a-{F}(V1), V0 == V1 | FALSE
% 0.12/0.35 (used 0 times, uses = {})
% 0.12/0.35
% 0.12/0.35 #17: unsound, references = 3, size of lhs = 3:
% 0.12/0.35 P_tc_Product__Type_Ounit-{F}(V0), P_tc_Product__Type_Ounit-{F}(V1), V0 == V1 | FALSE
% 0.12/0.35 (used 0 times, uses = {})
% 0.12/0.35
% 0.12/0.35 #18: unsound, references = 3, size of lhs = 3:
% 0.12/0.35 P_tc_set-{F}(V0,V1), P_tc_set-{F}(V0,V3), V1 == V3 | FALSE
% 0.12/0.35 (used 0 times, uses = {})
% 0.12/0.35
% 0.12/0.35 #19: unsound, references = 3, size of lhs = 3:
% 0.12/0.35 P_c_Tarski_Odual-{F}(V0,V1,V2), P_c_Tarski_Odual-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.12/0.35 (used 0 times, uses = {})
% 0.12/0.35
% 0.12/0.35 #20: unsound, references = 3, size of lhs = 3:
% 0.12/0.35 P_v_A-{F}(V0), P_v_A-{F}(V1), V0 == V1 | FALSE
% 0.12/0.35 (used 0 times, uses = {})
% 0.12/0.35
% 0.12/0.35 number of simplifiers = 9
% 0.12/0.35
% 0.12/0.35 Learnt:
% 0.12/0.35 #22: exists( #5, #2 ), references = 2, size of lhs = 8:
% 0.12/0.35 P_v_S-{F}(V0), P_v_cl-{F}(V1), P_t_a-{F}(V2), P_tc_Product__Type_Ounit-{F}(V3), P_tc_set-{F}(V2,V4), P_c_Tarski_Odual-{F}(V1,V2,V5), P_c_Tarski_Opotype_Opset-{F}(V5,V2,V3,V6), P_v_A-{F}(V7) | P_c_Tarski_Opotype_Opset-{T}(V1,V2,V3,V7)
% 0.12/0.35 (used 0 times, uses = {})
% 0.12/0.35
% 0.12/0.35 #28: mergings( V4 == V6, V8 == V9, V5 == V10; #24 ), references = 1, size of lhs = 7:
% 0.12/0.35 P_v_S-{F}(V0), P_v_cl-{F}(V1), P_t_a-{F}(V2), P_tc_Product__Type_Ounit-{F}(V3), P_tc_set-{F}(V2,V4), P_v_A-{F}(V5), P_c_Tarski_Odual-{F}(V1,V2,V6) | P_c_Tarski_Opotype_Opset-{T}(V6,V2,V3,V5)
% 0.12/0.35 (used 0 times, uses = {})
% 0.12/0.35
% 0.12/0.35 #40: mergings( V3 == V4, V4 == V6, V6 == V8, V9 == V10, V10 == V11, V11 == V12, V5 == V7; #32 ), references = 1, size of lhs = 6:
% 0.12/0.35 P_v_A-{F}(V0), P_v_S-{F}(V1), P_v_cl-{F}(V2), P_t_a-{F}(V3), P_tc_set-{F}(V3,V4), P_tc_Product__Type_Ounit-{F}(V5) | FALSE
% 0.12/0.35 (used 0 times, uses = {})
% 0.12/0.35
% 0.12/0.35 #46: mergings( V2 == V3, V3 == V5, V5 == V7, V4 == V6; #41 ), references = 1, size of lhs = 5:
% 0.12/0.35 P_v_A-{F}(V0), P_v_S-{F}(V1), P_v_cl-{F}(V2), P_t_a-{F}(V3), P_tc_Product__Type_Ounit-{F}(V4) | FALSE
% 0.12/0.35 (used 0 times, uses = {})
% 0.12/0.35
% 0.12/0.35 #51: mergings( V1 == V2, V2 == V3, V3 == V4; #47 ), references = 1, size of lhs = 4:
% 0.12/0.35 P_v_S-{F}(V0), P_v_cl-{F}(V1), P_t_a-{F}(V2), P_tc_Product__Type_Ounit-{F}(V3) | FALSE
% 0.12/0.35 (used 0 times, uses = {})
% 0.12/0.35
% 0.12/0.35 #56: mergings( V1 == V2, V2 == V3, V3 == V4; #52 ), references = 1, size of lhs = 3:
% 0.12/0.35 P_v_S-{F}(V0), P_v_cl-{F}(V1), P_t_a-{F}(V2) | FALSE
% 0.12/0.35 (used 0 times, uses = {})
% 0.12/0.35
% 0.12/0.35 #61: mergings( V1 == V2, V2 == V3, V3 == V4; #57 ), references = 1, size of lhs = 2:
% 0.12/0.35 P_v_S-{F}(V0), P_v_cl-{F}(V1) | FALSE
% 0.12/0.35 (used 0 times, uses = {})
% 0.12/0.35
% 0.12/0.35 #66: mergings( V1 == V2, V2 == V3, V3 == V4; #62 ), references = 1, size of lhs = 1:
% 0.12/0.35 P_v_S-{F}(V0) | FALSE
% 0.12/0.35 (used 0 times, uses = {})
% 0.12/0.35
% 0.12/0.35 #68: exists( #4, #62 ), 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 = 9
% 0.12/0.35
% 0.12/0.35
% 0.12/0.35 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.35
% 0.12/0.35 randbase = 1
%------------------------------------------------------------------------------