TSTP Solution File: BOO017-10 by Geo-III---2018C

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Geo-III---2018C
% Problem  : BOO017-10 : TPTP v8.1.0. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : geo -tptp_input -nonempty -inputfile %s

% Computer : n026.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 05:58:39 EDT 2022

% Result   : Unsatisfiable 14.89s 15.10s
% Output   : Refutation 14.89s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11  % Problem  : BOO017-10 : TPTP v8.1.0. Released v7.5.0.
% 0.07/0.12  % Command  : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33  % Computer : n026.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 08:55:05 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 14.89/15.10  GeoParameters:
% 14.89/15.10  
% 14.89/15.10  tptp_input =     1
% 14.89/15.10  tptp_output =    0
% 14.89/15.10  nonempty =       1
% 14.89/15.10  inputfile =      /export/starexec/sandbox/benchmark/theBenchmark.p
% 14.89/15.10  includepath =    /export/starexec/sandbox/solver/bin/../../benchmark/
% 14.89/15.10  
% 14.89/15.10  
% 14.89/15.10  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 14.89/15.10  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 14.89/15.10  
% 14.89/15.10  RuleSystem INPUT:
% 14.89/15.10  
% 14.89/15.10  Initial Rules:
% 14.89/15.10  #0: input, references = 4, size of lhs = 2:
% 14.89/15.10     P_ifeq2-{F}(V0,V0,V1,V2,V3), V3 == V1 | FALSE
% 14.89/15.10        (used 0 times, uses = {})
% 14.89/15.10  
% 14.89/15.10  #1: input, references = 4, size of lhs = 2:
% 14.89/15.10     P_ifeq-{F}(V0,V0,V1,V2,V3), V3 == V1 | FALSE
% 14.89/15.10        (used 0 times, uses = {})
% 14.89/15.10  
% 14.89/15.10  #2: input, references = 4, size of lhs = 4:
% 14.89/15.10     P_true-{F}(V0), P_add-{F}(V1,V2,V3), P_sum-{F}(V1,V2,V3,V4), V4 == V0 | FALSE
% 14.89/15.10        (used 0 times, uses = {})
% 14.89/15.10  
% 14.89/15.10  #3: input, references = 4, size of lhs = 4:
% 14.89/15.10     P_true-{F}(V0), P_multiply-{F}(V1,V2,V3), P_product-{F}(V1,V2,V3,V4), V4 == V0 | FALSE
% 14.89/15.10        (used 0 times, uses = {})
% 14.89/15.10  
% 14.89/15.10  #4: input, references = 4, size of lhs = 5:
% 14.89/15.10     P_true-{F}(V0), P_sum-{F}(V1,V2,V3,V4), P_sum-{F}(V2,V1,V3,V5), P_ifeq-{F}(V4,V0,V5,V0,V6), V6 == V0 | FALSE
% 14.89/15.10        (used 0 times, uses = {})
% 14.89/15.10  
% 14.89/15.10  #5: input, references = 3, size of lhs = 5:
% 14.89/15.10     P_true-{F}(V0), P_product-{F}(V1,V2,V3,V4), P_product-{F}(V2,V1,V3,V5), P_ifeq-{F}(V4,V0,V5,V0,V6), V6 == V0 | FALSE
% 14.89/15.10        (used 0 times, uses = {})
% 14.89/15.10  
% 14.89/15.10  #6: input, references = 3, size of lhs = 4:
% 14.89/15.10     P_true-{F}(V0), P_additive_identity-{F}(V1), P_sum-{F}(V1,V2,V2,V3), V3 == V0 | FALSE
% 14.89/15.10        (used 0 times, uses = {})
% 14.89/15.10  
% 14.89/15.10  #7: input, references = 4, size of lhs = 4:
% 14.89/15.10     P_true-{F}(V0), P_additive_identity-{F}(V1), P_sum-{F}(V2,V1,V2,V3), V3 == V0 | FALSE
% 14.89/15.10        (used 0 times, uses = {})
% 14.89/15.10  
% 14.89/15.10  #8: input, references = 4, size of lhs = 5:
% 14.89/15.10     P_true-{F}(V0), P_additive_identity-{F}(V1), P_multiplicative_identity-{F}(V2), P_product-{F}(V2,V3,V3,V4), V4 == V0 | FALSE
% 14.89/15.10        (used 0 times, uses = {})
% 14.89/15.10  
% 14.89/15.10  #9: input, references = 4, size of lhs = 5:
% 14.89/15.10     P_true-{F}(V0), P_additive_identity-{F}(V1), P_multiplicative_identity-{F}(V2), P_product-{F}(V3,V2,V3,V4), V4 == V0 | FALSE
% 14.89/15.10        (used 0 times, uses = {})
% 14.89/15.10  
% 14.89/15.10  #10: input, references = 4, size of lhs = 13:
% 14.89/15.10     P_true-{F}(V0), P_additive_identity-{F}(V1), P_multiplicative_identity-{F}(V2), P_product-{F}(V3,V6,V7,V10), P_product-{F}(V3,V5,V8,V11), P_product-{F}(V3,V4,V9,V12), P_sum-{F}(V4,V5,V6,V13), P_sum-{F}(V9,V8,V7,V14), P_ifeq-{F}(V13,V0,V14,V0,V15), P_ifeq-{F}(V12,V0,V15,V0,V16), P_ifeq-{F}(V11,V0,V16,V0,V17), P_ifeq-{F}(V10,V0,V17,V0,V18), V18 == V0 | FALSE
% 14.89/15.10        (used 0 times, uses = {})
% 14.89/15.10  
% 14.89/15.10  #11: input, references = 4, size of lhs = 13:
% 14.89/15.10     P_true-{F}(V0), P_additive_identity-{F}(V1), P_multiplicative_identity-{F}(V2), P_product-{F}(V3,V5,V8,V10), P_product-{F}(V3,V4,V9,V11), P_sum-{F}(V9,V8,V7,V12), P_sum-{F}(V4,V5,V6,V13), P_product-{F}(V3,V6,V7,V14), P_ifeq-{F}(V13,V0,V14,V0,V15), P_ifeq-{F}(V12,V0,V15,V0,V16), P_ifeq-{F}(V11,V0,V16,V0,V17), P_ifeq-{F}(V10,V0,V17,V0,V18), V18 == V0 | FALSE
% 14.89/15.10        (used 0 times, uses = {})
% 14.89/15.10  
% 14.89/15.10  #12: input, references = 4, size of lhs = 13:
% 14.89/15.10     P_true-{F}(V0), P_additive_identity-{F}(V1), P_multiplicative_identity-{F}(V2), P_product-{F}(V6,V3,V7,V10), P_product-{F}(V5,V3,V8,V11), P_product-{F}(V4,V3,V9,V12), P_sum-{F}(V4,V5,V6,V13), P_sum-{F}(V9,V8,V7,V14), P_ifeq-{F}(V13,V0,V14,V0,V15), P_ifeq-{F}(V12,V0,V15,V0,V16), P_ifeq-{F}(V11,V0,V16,V0,V17), P_ifeq-{F}(V10,V0,V17,V0,V18), V18 == V0 | FALSE
% 14.89/15.10        (used 0 times, uses = {})
% 14.89/15.10  
% 14.89/15.10  #13: input, references = 3, size of lhs = 13:
% 14.89/15.10     P_true-{F}(V0), P_additive_identity-{F}(V1), P_multiplicative_identity-{F}(V2), P_product-{F}(V5,V3,V8,V10), P_product-{F}(V4,V3,V9,V11), P_sum-{F}(V9,V8,V7,V12), P_sum-{F}(V4,V5,V6,V13), P_product-{F}(V6,V3,V7,V14), P_ifeq-{F}(V13,V0,V14,V0,V15), P_ifeq-{F}(V12,V0,V15,V0,V16), P_ifeq-{F}(V11,V0,V16,V0,V17), P_ifeq-{F}(V10,V0,V17,V0,V18), V18 == V0 | FALSE
% 14.89/15.10        (used 0 times, uses = {})
% 14.89/15.10  
% 14.89/15.10  #14: input, references = 4, size of lhs = 13:
% 14.89/15.10     P_true-{F}(V0), P_additive_identity-{F}(V1), P_multiplicative_identity-{F}(V2), P_product-{F}(V4,V5,V6,V10), P_sum-{F}(V3,V6,V7,V11), P_sum-{F}(V3,V5,V8,V12), P_sum-{F}(V3,V4,V9,V13), P_product-{F}(V9,V8,V7,V14), P_ifeq-{F}(V13,V0,V14,V0,V15), P_ifeq-{F}(V12,V0,V15,V0,V16), P_ifeq-{F}(V11,V0,V16,V0,V17), P_ifeq-{F}(V10,V0,V17,V0,V18), V18 == V0 | FALSE
% 14.89/15.10        (used 0 times, uses = {})
% 14.89/15.10  
% 14.89/15.10  #15: input, references = 3, size of lhs = 13:
% 14.89/15.10     P_true-{F}(V0), P_additive_identity-{F}(V1), P_multiplicative_identity-{F}(V2), P_product-{F}(V9,V8,V7,V10), P_product-{F}(V4,V5,V6,V11), P_sum-{F}(V3,V5,V8,V12), P_sum-{F}(V3,V4,V9,V13), P_sum-{F}(V3,V6,V7,V14), P_ifeq-{F}(V13,V0,V14,V0,V15), P_ifeq-{F}(V12,V0,V15,V0,V16), P_ifeq-{F}(V11,V0,V16,V0,V17), P_ifeq-{F}(V10,V0,V17,V0,V18), V18 == V0 | FALSE
% 14.89/15.10        (used 0 times, uses = {})
% 14.89/15.10  
% 14.89/15.10  #16: input, references = 4, size of lhs = 13:
% 14.89/15.10     P_true-{F}(V0), P_additive_identity-{F}(V1), P_multiplicative_identity-{F}(V2), P_product-{F}(V4,V5,V6,V10), P_sum-{F}(V6,V3,V7,V11), P_sum-{F}(V5,V3,V8,V12), P_sum-{F}(V4,V3,V9,V13), P_product-{F}(V9,V8,V7,V14), P_ifeq-{F}(V13,V0,V14,V0,V15), P_ifeq-{F}(V12,V0,V15,V0,V16), P_ifeq-{F}(V11,V0,V16,V0,V17), P_ifeq-{F}(V10,V0,V17,V0,V18), V18 == V0 | FALSE
% 14.89/15.10        (used 0 times, uses = {})
% 14.89/15.10  
% 14.89/15.10  #17: input, references = 3, size of lhs = 13:
% 14.89/15.10     P_true-{F}(V0), P_additive_identity-{F}(V1), P_multiplicative_identity-{F}(V2), P_product-{F}(V9,V8,V7,V10), P_product-{F}(V4,V5,V6,V11), P_sum-{F}(V5,V3,V8,V12), P_sum-{F}(V4,V3,V9,V13), P_sum-{F}(V6,V3,V7,V14), P_ifeq-{F}(V13,V0,V14,V0,V15), P_ifeq-{F}(V12,V0,V15,V0,V16), P_ifeq-{F}(V11,V0,V16,V0,V17), P_ifeq-{F}(V10,V0,V17,V0,V18), V18 == V0 | FALSE
% 14.89/15.10        (used 0 times, uses = {})
% 14.89/15.10  
% 14.89/15.10  #18: input, references = 3, size of lhs = 6:
% 14.89/15.10     P_true-{F}(V0), P_additive_identity-{F}(V1), P_multiplicative_identity-{F}(V2), P_inverse-{F}(V3,V4), P_sum-{F}(V4,V3,V2,V5), V5 == V0 | FALSE
% 14.89/15.10        (used 0 times, uses = {})
% 14.89/15.10  
% 14.89/15.10  #19: input, references = 4, size of lhs = 6:
% 14.89/15.10     P_true-{F}(V0), P_additive_identity-{F}(V1), P_multiplicative_identity-{F}(V2), P_inverse-{F}(V3,V4), P_sum-{F}(V3,V4,V2,V5), V5 == V0 | FALSE
% 14.89/15.10        (used 0 times, uses = {})
% 14.89/15.10  
% 14.89/15.10  #20: input, references = 4, size of lhs = 6:
% 14.89/15.10     P_true-{F}(V0), P_additive_identity-{F}(V1), P_multiplicative_identity-{F}(V2), P_inverse-{F}(V3,V4), P_product-{F}(V4,V3,V1,V5), V5 == V0 | FALSE
% 14.89/15.10        (used 0 times, uses = {})
% 14.89/15.10  
% 14.89/15.10  #21: input, references = 4, size of lhs = 6:
% 14.89/15.10     P_true-{F}(V0), P_additive_identity-{F}(V1), P_multiplicative_identity-{F}(V2), P_inverse-{F}(V3,V4), P_product-{F}(V3,V4,V1,V5), V5 == V0 | FALSE
% 14.89/15.10        (used 0 times, uses = {})
% 14.89/15.10  
% 14.89/15.10  #22: input, references = 9, size of lhs = 8:
% 14.89/15.10     P_true-{F}(V0), P_additive_identity-{F}(V1), P_multiplicative_identity-{F}(V2), P_sum-{F}(V3,V4,V5,V7), P_sum-{F}(V3,V4,V6,V8), P_ifeq2-{F}(V8,V0,V6,V5,V9), P_ifeq2-{F}(V7,V0,V9,V5,V10), V10 == V5 | FALSE
% 14.89/15.10        (used 0 times, uses = {})
% 14.89/15.10  
% 14.89/15.10  #23: input, references = 8, size of lhs = 8:
% 14.89/15.10     P_true-{F}(V0), P_additive_identity-{F}(V1), P_multiplicative_identity-{F}(V2), P_product-{F}(V3,V4,V5,V7), P_product-{F}(V3,V4,V6,V8), P_ifeq2-{F}(V8,V0,V6,V5,V9), P_ifeq2-{F}(V7,V0,V9,V5,V10), V10 == V5 | FALSE
% 14.89/15.10        (used 0 times, uses = {})
% 14.89/15.10  
% 14.89/15.10  #24: input, references = 4, size of lhs = 8:
% 14.89/15.10     P_true-{F}(V0), P_additive_identity-{F}(V1), P_multiplicative_identity-{F}(V2), P_x-{F}(V3), P_y-{F}(V4), P_z-{F}(V5), P_sum-{F}(V3,V4,V5,V6), V6 == V0 | FALSE
% 14.89/15.10        (used 0 times, uses = {})
% 14.89/15.10  
% 14.89/15.10  #25: input, references = 5, size of lhs = 8:
% 14.89/15.10     P_true-{F}(V0), P_additive_identity-{F}(V1), P_multiplicative_identity-{F}(V2), P_x-{F}(V3), P_y-{F}(V4), P_z-{F}(V5), P_sum-{F}(V3,V4,V5,V6), P_product-{F}(V3,V5,V3,V0) | FALSE
% 14.89/15.10        (used 0 times, uses = {})
% 14.89/15.10  
% 14.89/15.10  #26: input, references = 5, size of lhs = 4:
% 14.89/15.10     #-{F} V0, #-{F} V1, #-{F} V2, #-{F} V3 | EXISTS V4: P_ifeq2-{T}(V0,V1,V2,V3,V4)
% 14.89/15.10        (used 0 times, uses = {})
% 14.89/15.10  
% 14.89/15.10  #27: input, references = 5, size of lhs = 4:
% 14.89/15.10     #-{F} V0, #-{F} V1, #-{F} V2, #-{F} V3 | EXISTS V4: P_ifeq-{T}(V0,V1,V2,V3,V4)
% 14.89/15.10        (used 0 times, uses = {})
% 14.89/15.10  
% 14.89/15.10  #28: input, references = 7, size of lhs = 3:
% 14.89/15.10     #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_sum-{T}(V0,V1,V2,V3)
% 14.89/15.10        (used 0 times, uses = {})
% 14.89/15.10  
% 14.89/15.10  #29: input, references = 6, size of lhs = 2:
% 14.89/15.10     #-{F} V0, #-{F} V1 | EXISTS V2: P_add-{T}(V0,V1,V2)
% 14.89/15.10        (used 0 times, uses = {})
% 14.89/15.10  
% 14.89/15.10  #30: input, references = 4, size of lhs = 0:
% 14.89/15.10     FALSE | EXISTS V0: P_true-{T}(V0)
% 14.89/15.10        (used 0 times, uses = {})
% 14.89/15.10  
% 14.89/15.10  #31: input, references = 7, size of lhs = 3:
% 14.89/15.10     #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_product-{T}(V0,V1,V2,V3)
% 14.89/15.10        (used 0 times, uses = {})
% 14.89/15.10  
% 14.89/15.10  #32: input, references = 6, size of lhs = 2:
% 14.89/15.10     #-{F} V0, #-{F} V1 | EXISTS V2: P_multiply-{T}(V0,V1,V2)
% 14.89/15.10        (used 0 times, uses = {})
% 14.89/15.10  
% 14.89/15.10  #33: input, references = 4, size of lhs = 0:
% 14.89/15.10     FALSE | EXISTS V0: P_additive_identity-{T}(V0)
% 14.89/15.10        (used 0 times, uses = {})
% 14.89/15.10  
% 14.89/15.10  #34: input, references = 4, size of lhs = 0:
% 14.89/15.10     FALSE | EXISTS V0: P_multiplicative_identity-{T}(V0)
% 14.89/15.10        (used 0 times, uses = {})
% 14.89/15.10  
% 14.89/15.10  #35: input, references = 8, size of lhs = 1:
% 14.89/15.10     #-{F} V0 | EXISTS V1: P_inverse-{T}(V0,V1)
% 14.89/15.10        (used 0 times, uses = {})
% 14.89/15.10  
% 14.89/15.10  #36: input, references = 4, size of lhs = 0:
% 14.89/15.10     FALSE | EXISTS V0: P_x-{T}(V0)
% 14.89/15.10        (used 0 times, uses = {})
% 14.89/15.10  
% 14.89/15.10  #37: input, references = 5, size of lhs = 0:
% 14.89/15.10     FALSE | EXISTS V0: P_y-{T}(V0)
% 14.89/15.10        (used 0 times, uses = {})
% 14.89/15.10  
% 14.89/15.10  #38: input, references = 5, size of lhs = 0:
% 14.89/15.10     FALSE | EXISTS V0: P_z-{T}(V0)
% 14.89/15.10        (used 0 times, uses = {})
% 14.89/15.10  
% 14.89/15.10  number of initial rules = 39
% 14.89/15.10  
% 14.89/15.10  Simplifiers:
% 14.89/15.10  #39: unsound, references = 3, size of lhs = 3:
% 14.89/15.10     P_ifeq2-{F}(V0,V1,V2,V3,V4), P_ifeq2-{F}(V0,V1,V2,V3,V9), V4 == V9 | FALSE
% 14.89/15.10        (used 0 times, uses = {})
% 14.89/15.10  
% 14.89/15.10  #40: unsound, references = 3, size of lhs = 3:
% 14.89/15.10     P_ifeq-{F}(V0,V1,V2,V3,V4), P_ifeq-{F}(V0,V1,V2,V3,V9), V4 == V9 | FALSE
% 14.89/15.10        (used 0 times, uses = {})
% 14.89/15.10  
% 14.89/15.10  #41: unsound, references = 3, size of lhs = 3:
% 14.89/15.10     P_sum-{F}(V0,V1,V2,V3), P_sum-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 14.89/15.10        (used 0 times, uses = {})
% 14.89/15.10  
% 14.89/15.10  #42: unsound, references = 3, size of lhs = 3:
% 14.89/15.10     P_add-{F}(V0,V1,V2), P_add-{F}(V0,V1,V5), V2 == V5 | FALSE
% 14.89/15.10        (used 0 times, uses = {})
% 14.89/15.10  
% 14.89/15.10  #43: unsound, references = 3, size of lhs = 3:
% 14.89/15.10     P_true-{F}(V0), P_true-{F}(V1), V0 == V1 | FALSE
% 14.89/15.10        (used 0 times, uses = {})
% 14.89/15.10  
% 14.89/15.10  #44: unsound, references = 3, size of lhs = 3:
% 14.89/15.10     P_product-{F}(V0,V1,V2,V3), P_product-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 14.89/15.10        (used 0 times, uses = {})
% 14.89/15.10  
% 14.89/15.10  #45: unsound, references = 3, size of lhs = 3:
% 14.89/15.10     P_multiply-{F}(V0,V1,V2), P_multiply-{F}(V0,V1,V5), V2 == V5 | FALSE
% 14.89/15.10        (used 0 times, uses = {})
% 14.89/15.10  
% 14.89/15.10  #46: unsound, references = 3, size of lhs = 3:
% 14.89/15.10     P_additive_identity-{F}(V0), P_additive_identity-{F}(V1), V0 == V1 | FALSE
% 14.89/15.10        (used 0 times, uses = {})
% 14.89/15.10  
% 14.89/15.10  #47: unsound, references = 3, size of lhs = 3:
% 14.89/15.10     P_multiplicative_identity-{F}(V0), P_multiplicative_identity-{F}(V1), V0 == V1 | FALSE
% 14.89/15.10        (used 0 times, uses = {})
% 14.89/15.10  
% 14.89/15.10  #48: unsound, references = 3, size of lhs = 3:
% 14.89/15.10     P_inverse-{F}(V0,V1), P_inverse-{F}(V0,V3), V1 == V3 | FALSE
% 14.89/15.10        (used 0 times, uses = {})
% 14.89/15.10  
% 14.89/15.10  #49: unsound, references = 3, size of lhs = 3:
% 14.89/15.10     P_x-{F}(V0), P_x-{F}(V1), V0 == V1 | FALSE
% 14.89/15.10        (used 0 times, uses = {})
% 14.89/15.10  
% 14.89/15.10  #50: unsound, references = 3, size of lhs = 3:
% 14.89/15.10     P_y-{F}(V0), P_y-{F}(V1), V0 == V1 | FALSE
% 14.89/15.10        (used 0 times, uses = {})
% 14.89/15.10  
% 14.89/15.10  #51: unsound, references = 3, size of lhs = 3:
% 14.89/15.10     P_z-{F}(V0), P_z-{F}(V1), V0 == V1 | FALSE
% 14.89/15.10        (used 0 times, uses = {})
% 14.89/15.10  
% 14.89/15.10  number of simplifiers = 13
% 14.89/15.10  
% 14.89/15.10  Learnt:
% 14.89/15.10  #53: exists( #27, #1 ), references = 6, size of lhs = 3:
% 14.89/15.10     #-{F} V0, #-{F} V1, #-{F} V2 | P_ifeq-{T}(V0,V0,V1,V2,V1)
% 14.89/15.10        (used 0 times, uses = {})
% 14.89/15.10  
% 14.89/15.10  #55: exists( #26, #0 ), references = 10, size of lhs = 3:
% 14.89/15.10     #-{F} V0, #-{F} V1, #-{F} V2 | P_ifeq2-{T}(V0,V0,V1,V2,V1)
% 14.89/15.10        (used 0 times, uses = {})
% 14.89/15.10  
% 14.89/15.10  #57: exists( #28, #2 ), references = 4, size of lhs = 2:
% 14.89/15.10     P_true-{F}(V0), P_add-{F}(V1,V2,V3) | P_sum-{T}(V1,V2,V3,V0)
% 14.89/15.10        (used 0 times, uses = {})
% 14.89/15.10  
% 14.89/15.10  #61: exists( #28, #7 ), references = 8, size of lhs = 3:
% 14.89/15.10     P_true-{F}(V0), P_additive_identity-{F}(V1), #-{F} V2 | P_sum-{T}(V2,V1,V2,V0)
% 14.89/15.10        (used 0 times, uses = {})
% 14.89/15.10  
% 14.89/15.10  #62: exists( #28, #24 ), references = 3, size of lhs = 6:
% 14.89/15.10     P_true-{F}(V0), P_additive_identity-{F}(V1), P_multiplicative_identity-{F}(V2), P_x-{F}(V3), P_y-{F}(V4), P_z-{F}(V5) | P_sum-{T}(V3,V4,V5,V0)
% 14.89/15.10        (used 0 times, uses = {})
% 14.89/15.10  
% 14.89/15.10  #63: exists( #28, #19 ), references = 3, size of lhs = 4:
% 14.89/15.10     P_true-{F}(V0), P_additive_identity-{F}(V1), P_multiplicative_identity-{F}(V2), P_inverse-{F}(V3,V4) | P_sum-{T}(V3,V4,V2,V0)
% 14.89/15.10        (used 0 times, uses = {})
% 14.89/15.10  
% 14.89/15.10  #66: exists( #31, #8 ), references = 1, size of lhs = 4:
% 14.89/15.10     P_true-{F}(V0), P_additive_identity-{F}(V1), P_multiplicative_identity-{F}(V2), #-{F} V3 | P_product-{T}(V2,V3,V3,V0)
% 14.89/15.10        (used 0 times, uses = {})
% 14.89/15.10  
% 14.89/15.10  #67: exists( #31, #9 ), references = 5, size of lhs = 4:
% 14.89/15.10     P_true-{F}(V0), P_additive_identity-{F}(V1), P_multiplicative_identity-{F}(V2), #-{F} V3 | P_product-{T}(V3,V2,V3,V0)
% 14.89/15.10        (used 0 times, uses = {})
% 14.89/15.10  
% 14.89/15.10  #77: exists( #29, #75 ), references = 2, size of lhs = 4:
% 14.89/15.10     P_true-{F}(V0), P_additive_identity-{F}(V1), P_multiplicative_identity-{F}(V2), P_sum-{F}(V3,V4,V5,V0) | P_add-{T}(V3,V4,V5)
% 14.89/15.10        (used 0 times, uses = {})
% 14.89/15.10  
% 14.89/15.10  #83: mergings( V1 == V6, V2 == V7; #80 ), references = 2, size of lhs = 6:
% 14.89/15.10     P_x-{F}(V0), P_y-{F}(V1), P_true-{F}(V2), P_additive_identity-{F}(V3), P_multiplicative_identity-{F}(V4), P_sum-{F}(V0,V1,V5,V2) | P_z-{T}(V5)
% 14.89/15.10        (used 0 times, uses = {})
% 14.89/15.10  
% 14.89/15.10  #87: exists( #31, #3 ), references = 8, size of lhs = 2:
% 14.89/15.10     P_true-{F}(V0), P_multiply-{F}(V1,V2,V3) | P_product-{T}(V1,V2,V3,V0)
% 14.89/15.10        (used 0 times, uses = {})
% 14.89/15.10  
% 14.89/15.10  #93: exists( #32, #91 ), references = 1, size of lhs = 4:
% 14.89/15.10     P_true-{F}(V0), P_additive_identity-{F}(V1), P_multiplicative_identity-{F}(V2), P_product-{F}(V3,V4,V5,V0) | P_multiply-{T}(V3,V4,V5)
% 14.89/15.10        (used 0 times, uses = {})
% 14.89/15.10  
% 14.89/15.10  #101: exists( #28, #97 ), references = 2, size of lhs = 7:
% 14.89/15.10     P_true-{F}(V0), P_additive_identity-{F}(V1), P_multiplicative_identity-{F}(V2), P_product-{F}(V3,V4,V5,V0), P_product-{F}(V3,V6,V7,V0), P_sum-{F}(V8,V6,V4,V0), P_product-{F}(V3,V8,V9,V0) | P_sum-{T}(V9,V7,V5,V0)
% 14.89/15.10        (used 0 times, uses = {})
% 14.89/15.10  
% 14.89/15.10  #102: exists( #28, #98 ), references = 2, size of lhs = 7:
% 14.89/15.10     P_true-{F}(V0), P_additive_identity-{F}(V1), P_multiplicative_identity-{F}(V2), P_product-{F}(V3,V4,V5,V0), P_product-{F}(V6,V4,V7,V0), P_sum-{F}(V8,V6,V3,V0), P_product-{F}(V8,V4,V9,V0) | P_sum-{T}(V9,V7,V5,V0)
% 14.89/15.10        (used 0 times, uses = {})
% 14.89/15.10  
% 14.89/15.10  #107: exists( #28, #105 ), references = 6, size of lhs = 2:
% 14.89/15.10     P_true-{F}(V0), P_sum-{F}(V1,V2,V3,V0) | P_sum-{T}(V2,V1,V3,V0)
% 14.89/15.10        (used 0 times, uses = {})
% 14.89/15.10  
% 14.89/15.10  #112: mergings( V3 == V4; #110 ), references = 2, size of lhs = 8:
% 14.89/15.10     P_true-{F}(V0), P_additive_identity-{F}(V1), P_multiplicative_identity-{F}(V2), P_add-{F}(V3,V4,V5), P_sum-{F}(V4,V3,V6,V7), P_ifeq2-{F}(V0,V0,V5,V6,V8), P_ifeq2-{F}(V7,V0,V8,V6,V9), V9 == V6 | FALSE
% 14.89/15.10        (used 0 times, uses = {})
% 14.89/15.10  
% 14.89/15.10  #124: mergings( V4 == V7, V0 == V2, V2 == V5, V5 == V8, V3 == V6, V6 == V9; #117 ), references = 1, size of lhs = 3:
% 14.89/15.10     P_true-{F}(V0), P_additive_identity-{F}(V1), P_multiplicative_identity-{F}(V2) | P_inverse-{T}(V1,V2)
% 14.89/15.10        (used 0 times, uses = {})
% 14.89/15.10  
% 14.89/15.10  #127: exists( #31, #20 ), references = 4, size of lhs = 4:
% 14.89/15.10     P_true-{F}(V0), P_additive_identity-{F}(V1), P_multiplicative_identity-{F}(V2), P_inverse-{F}(V3,V4) | P_product-{T}(V4,V3,V1,V0)
% 14.89/15.10        (used 0 times, uses = {})
% 14.89/15.10  
% 14.89/15.10  #128: exists( #31, #21 ), references = 2, size of lhs = 4:
% 14.89/15.10     P_true-{F}(V0), P_additive_identity-{F}(V1), P_multiplicative_identity-{F}(V2), P_inverse-{F}(V3,V4) | P_product-{T}(V3,V4,V1,V0)
% 14.89/15.10        (used 0 times, uses = {})
% 14.89/15.10  
% 14.89/15.10  #138: mergings( V2 == V3, V3 == V6, V0 == V4, V4 == V7; #133 ), references = 1, size of lhs = 3:
% 14.89/15.10     P_true-{F}(V0), P_additive_identity-{F}(V1), P_multiplicative_identity-{F}(V2) | P_inverse-{T}(V2,V1)
% 14.89/15.10        (used 0 times, uses = {})
% 14.89/15.10  
% 14.89/15.10  #148: exists( #26, #22 ), references = 1, size of lhs = 6:
% 14.89/15.10     P_true-{F}(V0), P_additive_identity-{F}(V1), P_multiplicative_identity-{F}(V2), P_sum-{F}(V3,V4,V5,V6), P_sum-{F}(V3,V4,V7,V8), P_ifeq2-{F}(V8,V0,V7,V5,V9) | P_ifeq2-{T}(V6,V0,V9,V5,V5)
% 14.89/15.10        (used 0 times, uses = {})
% 14.89/15.10  
% 14.89/15.10  #149: exists( #26, #112 ), references = 1, size of lhs = 6:
% 14.89/15.10     P_true-{F}(V0), P_additive_identity-{F}(V1), P_multiplicative_identity-{F}(V2), P_add-{F}(V3,V4,V5), P_sum-{F}(V4,V3,V6,V7), P_ifeq2-{F}(V0,V0,V5,V6,V8) | P_ifeq2-{T}(V7,V0,V8,V6,V6)
% 14.89/15.10        (used 0 times, uses = {})
% 14.89/15.10  
% 14.89/15.10  #150: exists( #26, #23 ), references = 1, size of lhs = 6:
% 14.89/15.10     P_true-{F}(V0), P_additive_identity-{F}(V1), P_multiplicative_identity-{F}(V2), P_product-{F}(V3,V4,V5,V6), P_product-{F}(V3,V4,V7,V8), P_ifeq2-{F}(V8,V0,V7,V5,V9) | P_ifeq2-{T}(V6,V0,V9,V5,V5)
% 14.89/15.10        (used 0 times, uses = {})
% 14.89/15.10  
% 14.89/15.10  #154: exists( #27, #11 ), references = 1, size of lhs = 11:
% 14.89/15.10     P_true-{F}(V0), P_additive_identity-{F}(V1), P_multiplicative_identity-{F}(V2), P_ifeq-{F}(V3,V0,V4,V0,V5), P_ifeq-{F}(V6,V0,V5,V0,V7), P_ifeq-{F}(V8,V0,V7,V0,V9), P_product-{F}(V10,V11,V12,V8), P_sum-{F}(V12,V13,V14,V6), P_product-{F}(V10,V15,V14,V4), P_sum-{F}(V11,V16,V15,V3), P_product-{F}(V10,V16,V13,V17) | P_ifeq-{T}(V17,V0,V9,V0,V0)
% 14.89/15.10        (used 0 times, uses = {})
% 14.89/15.10  
% 14.89/15.10  #176: mergings( V3 == V4, V4 == V7, V5 == V8; #171 ), references = 3, size of lhs = 6:
% 14.89/15.10     P_true-{F}(V0), P_additive_identity-{F}(V1), P_multiplicative_identity-{F}(V2), P_product-{F}(V3,V4,V1,V0), P_sum-{F}(V4,V5,V6,V0), P_product-{F}(V3,V6,V7,V0) | P_multiply-{T}(V3,V5,V7)
% 14.89/15.10        (used 0 times, uses = {})
% 14.89/15.10  
% 14.89/15.10  #204: mergings( V3 == V4, V4 == V7, V5 == V8; #199 ), references = 2, size of lhs = 6:
% 14.89/15.10     P_true-{F}(V0), P_additive_identity-{F}(V1), P_multiplicative_identity-{F}(V2), P_product-{F}(V3,V4,V1,V0), P_sum-{F}(V5,V3,V6,V0), P_product-{F}(V6,V4,V7,V0) | P_multiply-{T}(V5,V4,V7)
% 14.89/15.10        (used 0 times, uses = {})
% 14.89/15.10  
% 14.89/15.10  #218: mergings( V6 == V9, V3 == V4, V4 == V7, V7 == V10, V2 == V5, V5 == V8, V8 == V11; #210 ), references = 1, size of lhs = 7:
% 14.89/15.10     P_x-{F}(V0), P_additive_identity-{F}(V0), P_true-{F}(V1), P_multiplicative_identity-{F}(V2), P_y-{F}(V3), P_z-{F}(V4), P_sum-{F}(V0,V3,V4,V5) | FALSE
% 14.89/15.10        (used 0 times, uses = {})
% 14.89/15.10  
% 14.89/15.10  #233: mergings( V1 == V8, V8 == V11, V2 == V5, V5 == V6, V6 == V9, V9 == V12, V3 == V4, V4 == V7, V7 == V10, V10 == V13; #222 ), references = 1, size of lhs = 4:
% 14.89/15.10     P_x-{F}(V0), P_additive_identity-{F}(V0), P_true-{F}(V1), P_multiplicative_identity-{F}(V2) | FALSE
% 14.89/15.10        (used 0 times, uses = {})
% 14.89/15.10  
% 14.89/15.10  #254: mergings( V5 == V8, V2 == V6, V6 == V9, V3 == V4, V4 == V7, V7 == V10; #247 ), references = 1, size of lhs = 4:
% 14.89/15.10     P_true-{F}(V0), P_additive_identity-{F}(V1), P_multiplicative_identity-{F}(V2), P_sum-{F}(V3,V2,V3,V0) | P_inverse-{T}(V3,V1)
% 14.89/15.10        (used 0 times, uses = {})
% 14.89/15.10  
% 14.89/15.10  #287: exists( #31, #283 ), references = 3, size of lhs = 7:
% 14.89/15.10     P_true-{F}(V0), P_additive_identity-{F}(V1), P_multiplicative_identity-{F}(V2), P_product-{F}(V3,V4,V5,V0), P_sum-{F}(V6,V5,V7,V0), P_sum-{F}(V6,V4,V8,V0), P_sum-{F}(V6,V3,V9,V0) | P_product-{T}(V9,V8,V7,V0)
% 14.89/15.10        (used 0 times, uses = {})
% 14.89/15.10  
% 14.89/15.10  #288: exists( #31, #284 ), references = 1, size of lhs = 7:
% 14.89/15.10     P_true-{F}(V0), P_additive_identity-{F}(V1), P_multiplicative_identity-{F}(V2), P_product-{F}(V3,V4,V5,V0), P_sum-{F}(V5,V6,V7,V0), P_sum-{F}(V4,V6,V8,V0), P_sum-{F}(V3,V6,V9,V0) | P_product-{T}(V9,V8,V7,V0)
% 14.89/15.10        (used 0 times, uses = {})
% 14.89/15.10  
% 14.89/15.10  #318: mergings( V3 == V5, V5 == V8, V4 == V6, V6 == V9; #313 ), references = 1, size of lhs = 6:
% 14.89/15.10     P_true-{F}(V0), P_additive_identity-{F}(V1), P_multiplicative_identity-{F}(V2), P_sum-{F}(V3,V4,V2,V0), P_product-{F}(V5,V4,V6,V0), P_sum-{F}(V3,V6,V7,V0) | P_add-{T}(V3,V5,V7)
% 14.89/15.10        (used 0 times, uses = {})
% 14.89/15.10  
% 14.89/15.10  #327: mergings( V1 == V3, V3 == V6, V2 == V4, V4 == V7; #322 ), references = 2, size of lhs = 8:
% 14.89/15.10     P_true-{F}(V0), P_additive_identity-{F}(V1), P_multiplicative_identity-{F}(V2), P_x-{F}(V3), P_y-{F}(V4), P_sum-{F}(V3,V5,V3,V0), P_product-{F}(V6,V4,V5,V0), P_sum-{F}(V3,V6,V3,V0) | FALSE
% 14.89/15.10        (used 0 times, uses = {})
% 14.89/15.10  
% 14.89/15.10  #351: mergings( V5 == V7, V7 == V10, V2 == V8, V8 == V11, V3 == V4, V4 == V6, V6 == V9, V9 == V12; #342 ), references = 1, size of lhs = 9:
% 14.89/15.10     P_true-{F}(V0), P_additive_identity-{F}(V1), P_multiplicative_identity-{F}(V2), P_x-{F}(V3), P_y-{F}(V4), P_sum-{F}(V3,V5,V3,V0), P_sum-{F}(V5,V4,V4,V0), P_sum-{F}(V3,V6,V3,V0), P_product-{F}(V5,V2,V6,V0) | FALSE
% 14.89/15.10        (used 0 times, uses = {})
% 14.89/15.10  
% 14.89/15.10  #364: mergings( V5 == V7, V7 == V10, V1 == V2, V2 == V8, V8 == V11, V3 == V4, V4 == V6, V6 == V9, V9 == V12; #354 ), references = 1, size of lhs = 7:
% 14.89/15.10     P_true-{F}(V0), P_additive_identity-{F}(V1), P_multiplicative_identity-{F}(V2), P_x-{F}(V3), P_sum-{F}(V3,V1,V3,V0), P_sum-{F}(V3,V4,V3,V0), P_product-{F}(V1,V2,V4,V0) | FALSE
% 14.89/15.10        (used 0 times, uses = {})
% 14.89/15.10  
% 14.89/15.10  #376: mergings( V5 == V7, V7 == V10, V1 == V2, V2 == V8, V8 == V11, V3 == V4, V4 == V6, V6 == V9, V9 == V12; #366 ), references = 1, size of lhs = 4:
% 14.89/15.10     P_true-{F}(V0), P_additive_identity-{F}(V1), P_multiplicative_identity-{F}(V2), P_product-{F}(V1,V2,V1,V0) | FALSE
% 14.89/15.10        (used 0 times, uses = {})
% 14.89/15.10  
% 14.89/15.10  #385: mergings( V4 == V5, V5 == V7, V1 == V2, V2 == V3, V3 == V6, V6 == V8; #378 ), references = 1, size of lhs = 2:
% 14.89/15.10     P_true-{F}(V0), P_additive_identity-{F}(V1) | FALSE
% 14.89/15.10        (used 0 times, uses = {})
% 14.89/15.10  
% 14.89/15.10  #389: mergings( V1 == V2, V2 == V3; #386 ), references = 1, size of lhs = 1:
% 14.89/15.10     P_true-{F}(V0) | FALSE
% 14.89/15.10        (used 0 times, uses = {})
% 14.89/15.10  
% 14.89/15.10  #391: exists( #30, #386 ), references = 1, size of lhs = 0:
% 14.89/15.10     FALSE | FALSE
% 14.89/15.10        (used 0 times, uses = {})
% 14.89/15.10  
% 14.89/15.10  number of learnt formulas = 39
% 14.89/15.10  
% 14.89/15.10  
% 14.89/15.10  % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 14.89/15.10  
% 14.89/15.10  randbase = 1
%------------------------------------------------------------------------------