%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : GEO502+1 : TPTP v8.1.2. Released v7.0.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% 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 : Wed Aug 30 22:51:36 EDT 2023

% Result   : Theorem 25.56s 26.08s
% Output   : Proof 25.56s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14  % Problem    : GEO502+1 : TPTP v8.1.2. Released v7.0.0.
% 0.08/0.15  % Command    : do_cvc5 %s %d
% 0.15/0.37  % Computer : n027.cluster.edu
% 0.15/0.37  % Model    : x86_64 x86_64
% 0.15/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37  % Memory   : 8042.1875MB
% 0.15/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37  % CPULimit   : 300
% 0.15/0.37  % WCLimit    : 300
% 0.15/0.37  % DateTime   : Tue Aug 29 21:41:53 EDT 2023
% 0.15/0.37  % CPUTime    : 
% 0.22/0.52  %----Proving TF0_NAR, FOF, or CNF
% 25.56/26.08  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.DbXXJ1h9wr/cvc5---1.0.5_22442.p...
% 25.56/26.08  ------- get file name : TPTP file name is GEO502+1
% 25.56/26.08  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_22442.smt2...
% 25.56/26.08  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 25.56/26.08  --- Run --no-e-matching --full-saturate-quant at 5...
% 25.56/26.08  --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 25.56/26.08  --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 25.56/26.08  --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 25.56/26.08  % SZS status Theorem for GEO502+1
% 25.56/26.08  % SZS output start Proof for GEO502+1
% 25.56/26.08  (
% 25.56/26.08  (let ((_let_1 (forall ((Xa1 $$unsorted) (Xm1 $$unsorted) (Xb1 $$unsorted) (Xc $$unsorted) (Xb2 $$unsorted) (Xm2 $$unsorted) (Xa2 $$unsorted)) (let ((_let_1 (tptp.s_kf Xa1 Xm1 Xb1 Xc Xb2 Xm2 Xa2))) (let ((_let_2 (tptp.s_m Xa2 Xm2 Xb2))) (let ((_let_3 (tptp.s_m Xa1 Xm1 Xb1))) (let ((_let_4 (tptp.s_e Xc Xa2 Xc Xb2))) (let ((_let_5 (tptp.s_e Xc Xa1 Xc Xb1))) (let ((_let_6 (tptp.s_t Xb1 Xc Xb2))) (let ((_let_7 (tptp.s_t Xa1 Xc Xa2))) (let ((_let_8 (not _let_1))) (and (or _let_8 _let_7) (or _let_8 _let_6) (or _let_8 _let_5) (or _let_8 _let_4) (or _let_8 _let_3) (or _let_8 _let_2) (or (not _let_7) (not _let_6) (not _let_5) (not _let_4) (not _let_3) (not _let_2) _let_1))))))))))))) (let ((_let_2 (forall ((Xa1 $$unsorted) (Xc $$unsorted) (Xa2 $$unsorted) (Xb1 $$unsorted) (Xb2 $$unsorted) (Xm1 $$unsorted) (Xm2 $$unsorted)) (or (not (tptp.s_t Xa1 Xc Xa2)) (not (tptp.s_t Xb1 Xc Xb2)) (not (tptp.s_e Xc Xa1 Xc Xb1)) (not (tptp.s_e Xc Xa2 Xc Xb2)) (not (tptp.s_m Xa1 Xm1 Xb1)) (not (tptp.s_m Xa2 Xm2 Xb2)) (tptp.s_t Xm1 Xc Xm2))))) (let ((_let_3 (not _let_2))) (let ((_let_4 (forall ((Xa1 $$unsorted) (Xm1 $$unsorted) (Xb1 $$unsorted) (Xc $$unsorted) (Xb2 $$unsorted) (Xm2 $$unsorted) (Xa2 $$unsorted)) (or (not (tptp.s_kf Xa1 Xm1 Xb1 Xc Xb2 Xm2 Xa2)) (tptp.s_t Xm1 Xc Xm2))))) (let ((_let_5 (tptp.s_t SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_6 (tptp.s_kf SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_7 (not _let_6))) (let ((_let_8 (or _let_7 _let_5))) (let ((_let_9 (_let_4))) (let ((_let_10 (ASSUME :args _let_9))) (let ((_let_11 (not _let_8))) (let ((_let_12 (tptp.s_m SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_13 (not _let_12))) (let ((_let_14 (tptp.s_m SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_15 (not _let_14))) (let ((_let_16 (tptp.s_e SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_17 (not _let_16))) (let ((_let_18 (tptp.s_e SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_19 (not _let_18))) (let ((_let_20 (tptp.s_t SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_21 (not _let_20))) (let ((_let_22 (tptp.s_t SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_23 (not _let_22))) (let ((_let_24 (or _let_23 _let_21 _let_19 _let_17 _let_15 _let_13 _let_6))) (let ((_let_25 (forall ((BOUND_VARIABLE_3574 $$unsorted) (BOUND_VARIABLE_3576 $$unsorted) (BOUND_VARIABLE_3578 $$unsorted) (BOUND_VARIABLE_3580 $$unsorted) (BOUND_VARIABLE_3582 $$unsorted) (BOUND_VARIABLE_3584 $$unsorted) (BOUND_VARIABLE_3586 $$unsorted)) (or (not (tptp.s_t BOUND_VARIABLE_3574 BOUND_VARIABLE_3580 BOUND_VARIABLE_3586)) (not (tptp.s_t BOUND_VARIABLE_3578 BOUND_VARIABLE_3580 BOUND_VARIABLE_3582)) (not (tptp.s_e BOUND_VARIABLE_3580 BOUND_VARIABLE_3574 BOUND_VARIABLE_3580 BOUND_VARIABLE_3578)) (not (tptp.s_e BOUND_VARIABLE_3580 BOUND_VARIABLE_3586 BOUND_VARIABLE_3580 BOUND_VARIABLE_3582)) (not (tptp.s_m BOUND_VARIABLE_3574 BOUND_VARIABLE_3576 BOUND_VARIABLE_3578)) (not (tptp.s_m BOUND_VARIABLE_3586 BOUND_VARIABLE_3584 BOUND_VARIABLE_3582)) (tptp.s_kf BOUND_VARIABLE_3574 BOUND_VARIABLE_3576 BOUND_VARIABLE_3578 BOUND_VARIABLE_3580 BOUND_VARIABLE_3582 BOUND_VARIABLE_3584 BOUND_VARIABLE_3586))))) (let ((_let_26 (_let_25))) (let ((_let_27 (or _let_23 _let_21 _let_19 _let_17 _let_15 _let_13 _let_5))) (let ((_let_28 (not _let_27))) (let ((_let_29 (_let_3))) (let ((_let_30 (ASSUME :args _let_29))) (let ((_let_31 (or))) (let ((_let_32 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_30) :args _let_29)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_3) _let_2))) (REFL :args (_let_28)) :args _let_31)) _let_30 :args (_let_28 true _let_2)))) (let ((_let_33 (REFL :args (_let_27)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_10 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_9)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_8)) :args ((or _let_5 _let_7 _let_11))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_27 6)) _let_32 :args ((not _let_5) true _let_27)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_24)) :args ((or _let_23 _let_21 _let_19 _let_17 _let_15 _let_13 _let_6 (not _let_24)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_27 0)) (CONG _let_33 (MACRO_SR_PRED_INTRO :args ((= (not _let_23) _let_22))) :args _let_31)) :args ((or _let_22 _let_27))) _let_32 :args (_let_22 true _let_27)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_27 1)) (CONG _let_33 (MACRO_SR_PRED_INTRO :args ((= (not _let_21) _let_20))) :args _let_31)) :args ((or _let_20 _let_27))) _let_32 :args (_let_20 true _let_27)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_27 2)) (CONG _let_33 (MACRO_SR_PRED_INTRO :args ((= (not _let_19) _let_18))) :args _let_31)) :args ((or _let_18 _let_27))) _let_32 :args (_let_18 true _let_27)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_27 3)) (CONG _let_33 (MACRO_SR_PRED_INTRO :args ((= (not _let_17) _let_16))) :args _let_31)) :args ((or _let_16 _let_27))) _let_32 :args (_let_16 true _let_27)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_27 4)) (CONG _let_33 (MACRO_SR_PRED_INTRO :args ((= (not _let_15) _let_14))) :args _let_31)) :args ((or _let_14 _let_27))) _let_32 :args (_let_14 true _let_27)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_27 5)) (CONG _let_33 (MACRO_SR_PRED_INTRO :args ((= (not _let_13) _let_12))) :args _let_31)) :args ((or _let_12 _let_27))) _let_32 :args (_let_12 true _let_27)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_26) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.s_t BOUND_VARIABLE_3578 BOUND_VARIABLE_3580 BOUND_VARIABLE_3582) false)) (not (= (tptp.s_m BOUND_VARIABLE_3574 BOUND_VARIABLE_3576 BOUND_VARIABLE_3578) false)) (not (= (tptp.s_m BOUND_VARIABLE_3586 BOUND_VARIABLE_3584 BOUND_VARIABLE_3582) false))))) :args _let_26)) (AND_ELIM (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))) :args (6)) :args (_let_24 false _let_25)) :args (_let_6 false _let_22 false _let_20 false _let_18 false _let_16 false _let_14 false _let_12 false _let_24)) :args (_let_11 true _let_5 false _let_6)) _let_10 :args (false true _let_8 false _let_4)) :args ((forall ((X $$unsorted) (Y $$unsorted)) (tptp.s_e X Y Y X)) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted) (V $$unsorted) (Z2 $$unsorted) (V2 $$unsorted)) (or (not (tptp.s_e X Y Z V)) (not (tptp.s_e X Y Z2 V2)) (tptp.s_e Z V Z2 V2))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.s_e X Y Z Z)) (= X Y))) (forall ((X $$unsorted) (Y $$unsorted) (W $$unsorted) (V $$unsorted)) (let ((_let_1 (tptp.ext X Y W V))) (and (tptp.s_t X Y _let_1) (tptp.s_e Y _let_1 W V)))) (forall ((X $$unsorted) (Y $$unsorted) (X1 $$unsorted) (Y1 $$unsorted) (Z $$unsorted) (Z1 $$unsorted) (V $$unsorted) (V1 $$unsorted)) (or (not (tptp.s_e X Y X1 Y1)) (not (tptp.s_e Y Z Y1 Z1)) (not (tptp.s_e X V X1 V1)) (not (tptp.s_e Y V Y1 V1)) (not (tptp.s_t X Y Z)) (not (tptp.s_t X1 Y1 Z1)) (= X Y) (tptp.s_e Z V Z1 V1))) (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.s_t X Y X)) (= X Y))) (forall ((Xa $$unsorted) (Xp $$unsorted) (Xc $$unsorted) (Xb $$unsorted) (Xq $$unsorted)) (let ((_let_1 (tptp.ip Xa Xp Xc Xb Xq))) (let ((_let_2 (not (tptp.s_t Xb Xq Xc)))) (let ((_let_3 (not (tptp.s_t Xa Xp Xc)))) (and (or _let_3 _let_2 (tptp.s_t Xp _let_1 Xb)) (or _let_3 _let_2 (tptp.s_t Xq _let_1 Xa))))))) (and (not (tptp.s_t tptp.alpha tptp.beta tptp.gamma)) (not (tptp.s_t tptp.beta tptp.gamma tptp.alpha)) (not (tptp.s_t tptp.gamma tptp.alpha tptp.beta))) (forall ((Xa $$unsorted) (Xb $$unsorted)) (tptp.s_e Xa Xb Xa Xb)) (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted) (Xd $$unsorted)) (or (not (tptp.s_e Xa Xb Xc Xd)) (tptp.s_e Xc Xd Xa Xb))) (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted) (Xd $$unsorted) (Xe $$unsorted) (Xf $$unsorted)) (or (not (tptp.s_e Xa Xb Xc Xd)) (not (tptp.s_e Xc Xd Xe Xf)) (tptp.s_e Xa Xb Xe Xf))) (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted) (Xd $$unsorted)) (or (not (tptp.s_e Xa Xb Xc Xd)) (tptp.s_e Xb Xa Xc Xd))) (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted) (Xd $$unsorted)) (or (not (tptp.s_e Xa Xb Xc Xd)) (tptp.s_e Xa Xb Xd Xc))) (forall ((Xa $$unsorted) (Xb $$unsorted)) (tptp.s_e Xa Xa Xb Xb)) (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted) (Xa1 $$unsorted) (Xb1 $$unsorted) (Xc1 $$unsorted)) (or (not (tptp.s_t Xa Xb Xc)) (not (tptp.s_t Xa1 Xb1 Xc1)) (not (tptp.s_e Xa Xb Xa1 Xb1)) (not (tptp.s_e Xb Xc Xb1 Xc1)) (tptp.s_e Xa Xc Xa1 Xc1))) (forall ((Xq $$unsorted) (Xa $$unsorted) (Xd $$unsorted) (Xb $$unsorted) (Xc $$unsorted)) (or (= Xq Xa) (not (tptp.s_t Xq Xa Xd)) (not (tptp.s_e Xa Xd Xb Xc)) (= Xd (tptp.ext Xq Xa Xb Xc)))) (forall ((Xb $$unsorted) (Xc $$unsorted) (Xa $$unsorted)) (or (not (tptp.s_e Xb Xc Xa Xa)) (= Xb Xc))) (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted) (Xd $$unsorted)) (or (not (tptp.s_e Xa Xb Xc Xd)) (tptp.s_e Xb Xa Xd Xc))) (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted) (XA $$unsorted) (XB $$unsorted) (XC $$unsorted)) (or (not (tptp.s_t Xa Xb Xc)) (not (tptp.s_t XA XB XC)) (not (tptp.s_e Xa Xb XB XC)) (not (tptp.s_e Xb Xc XA XB)) (tptp.s_e Xa Xc XA XC))) (forall ((Xa $$unsorted) (Xb $$unsorted)) (tptp.s_t Xa Xb Xb)) (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted)) (or (not (tptp.s_t Xa Xb Xc)) (tptp.s_t Xc Xb Xa))) (forall ((Xa1 $$unsorted) (Xb1 $$unsorted)) (tptp.s_t Xa1 Xa1 Xb1)) (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted)) (or (not (tptp.s_t Xa Xb Xc)) (not (tptp.s_t Xb Xa Xc)) (= Xa Xb))) (forall ((Xa $$unsorted) (Xb $$unsorted) (Xd $$unsorted) (Xc $$unsorted)) (or (not (tptp.s_t Xa Xb Xd)) (not (tptp.s_t Xb Xc Xd)) (tptp.s_t Xa Xb Xc))) (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted) (Xd $$unsorted)) (or (not (tptp.s_t Xa Xb Xc)) (not (tptp.s_t Xa Xc Xd)) (tptp.s_t Xb Xc Xd))) (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted) (Xd $$unsorted)) (or (not (tptp.s_t Xa Xb Xc)) (not (tptp.s_t Xb Xc Xd)) (= Xb Xc) (tptp.s_t Xa Xc Xd))) (forall ((Xa $$unsorted) (Xb $$unsorted) (Xd $$unsorted) (Xc $$unsorted)) (or (not (tptp.s_t Xa Xb Xd)) (not (tptp.s_t Xb Xc Xd)) (tptp.s_t Xa Xc Xd))) (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted) (Xd $$unsorted)) (or (not (tptp.s_t Xa Xb Xc)) (not (tptp.s_t Xa Xc Xd)) (tptp.s_t Xa Xb Xd))) (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted) (Xd $$unsorted)) (or (not (tptp.s_t Xa Xb Xc)) (not (tptp.s_t Xb Xc Xd)) (= Xb Xc) (tptp.s_t Xa Xb Xd))) (not (= tptp.alpha tptp.beta)) (not (= tptp.beta tptp.gamma)) (not (= tptp.alpha tptp.gamma)) (forall ((Xa $$unsorted) (Xb $$unsorted)) (tptp.s_t Xa Xb (tptp.ext Xa Xb tptp.alpha tptp.gamma))) (forall ((Xb $$unsorted) (Xa $$unsorted)) (not (= Xb (tptp.ext Xa Xb tptp.alpha tptp.gamma)))) (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted) (Xa1 $$unsorted) (Xb1 $$unsorted) (Xp $$unsorted)) (let ((_let_1 (tptp.crossbar Xa Xb Xc Xa1 Xb1 Xp))) (let ((_let_2 (not (tptp.s_t Xa Xp Xa1)))) (let ((_let_3 (not (tptp.s_t Xa1 Xb1 Xc)))) (let ((_let_4 (not (tptp.s_t Xa Xb Xc)))) (and (or _let_4 _let_3 _let_2 (tptp.s_t Xp _let_1 Xc)) (or _let_4 _let_3 _let_2 (tptp.s_t Xb _let_1 Xb1)))))))) (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted) (Xd $$unsorted) (Xa1 $$unsorted) (Xb1 $$unsorted) (Xc1 $$unsorted) (Xd1 $$unsorted)) (or (not (tptp.s_ifs Xa Xb Xc Xd Xa1 Xb1 Xc1 Xd1)) (tptp.s_e Xb Xd Xb1 Xd1))) (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted) (Xa1 $$unsorted) (Xb1 $$unsorted) (Xc1 $$unsorted)) (or (not (tptp.s_t Xa Xb Xc)) (not (tptp.s_t Xa1 Xb1 Xc1)) (not (tptp.s_e Xa Xc Xa1 Xc1)) (not (tptp.s_e Xb Xc Xb1 Xc1)) (tptp.s_e Xa Xb Xa1 Xb1))) (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted) (Xa1 $$unsorted) (Xc1 $$unsorted)) (let ((_let_1 (tptp.insert Xa Xb Xa1 Xc1))) (let ((_let_2 (not (tptp.s_e Xa Xc Xa1 Xc1)))) (let ((_let_3 (not (tptp.s_t Xa Xb Xc)))) (and (or _let_3 _let_2 (tptp.s_t Xa1 _let_1 Xc1)) (or _let_3 _let_2 (tptp.s_e3 Xa Xb Xc Xa1 _let_1 Xc1))))))) (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted) (Xa1 $$unsorted) (Xb1 $$unsorted) (Xc1 $$unsorted)) (or (not (tptp.s_t Xa Xb Xc)) (not (tptp.s_e3 Xa Xb Xc Xa1 Xb1 Xc1)) (tptp.s_t Xa1 Xb1 Xc1))) (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted)) (or (not (tptp.s_col Xa Xb Xc)) (tptp.s_col Xb Xc Xa))) (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted)) (or (not (tptp.s_col Xa Xb Xc)) (tptp.s_col Xc Xa Xb))) (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted)) (or (not (tptp.s_col Xa Xb Xc)) (tptp.s_col Xc Xb Xa))) (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted)) (or (not (tptp.s_col Xa Xb Xc)) (tptp.s_col Xb Xa Xc))) (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted)) (or (not (tptp.s_col Xa Xb Xc)) (tptp.s_col Xa Xc Xb))) (forall ((Xa $$unsorted) (Xb $$unsorted)) (tptp.s_col Xa Xa Xb)) (forall ((Xa $$unsorted) (Xb $$unsorted)) (tptp.s_col Xa Xb Xa)) (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted) (Xa1 $$unsorted) (Xb1 $$unsorted) (Xc1 $$unsorted)) (or (not (tptp.s_col Xa Xb Xc)) (not (tptp.s_e3 Xa Xb Xc Xa1 Xb1 Xc1)) (tptp.s_col Xa1 Xb1 Xc1))) (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted) (Xa1 $$unsorted) (Xb1 $$unsorted)) (or (not (tptp.s_col Xa Xb Xc)) (not (tptp.s_e Xa Xb Xa1 Xb1)) (tptp.s_e3 Xa Xb Xc Xa1 Xb1 (tptp.insert5 Xa Xb Xc Xa1 Xb1)))) (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted) (Xd $$unsorted) (Xa1 $$unsorted) (Xb1 $$unsorted) (Xc1 $$unsorted) (Xd1 $$unsorted)) (or (not (tptp.s_fs Xa Xb Xc Xd Xa1 Xb1 Xc1 Xd1)) (= Xa Xb) (tptp.s_e Xc Xd Xc1 Xd1))) (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted) (Xp $$unsorted) (Xq $$unsorted)) (or (= Xa Xb) (not (tptp.s_col Xa Xb Xc)) (not (tptp.s_e Xa Xp Xa Xq)) (not (tptp.s_e Xb Xp Xb Xq)) (tptp.s_e Xc Xp Xc Xq))) (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted) (Xc1 $$unsorted)) (or (= Xa Xb) (not (tptp.s_col Xa Xb Xc)) (not (tptp.s_e Xa Xc Xa Xc1)) (not (tptp.s_e Xb Xc Xb Xc1)) (= Xc Xc1))) (forall ((Xa $$unsorted) (Xc $$unsorted) (Xb $$unsorted) (Xc1 $$unsorted)) (or (not (tptp.s_t Xa Xc Xb)) (not (tptp.s_e Xa Xc Xa Xc1)) (not (tptp.s_e Xb Xc Xb Xc1)) (= Xc Xc1))) (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted) (Xd $$unsorted)) (or (= Xa Xb) (not (tptp.s_t Xa Xb Xc)) (not (tptp.s_t Xa Xb Xd)) (tptp.s_t Xa Xc Xd) (tptp.s_t Xa Xd Xc))) (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted) (Xd $$unsorted)) (or (= Xa Xb) (not (tptp.s_t Xa Xb Xc)) (not (tptp.s_t Xa Xb Xd)) (tptp.s_t Xb Xc Xd) (tptp.s_t Xb Xd Xc))) (forall ((Xa $$unsorted) (Xb $$unsorted) (Xd $$unsorted) (Xc $$unsorted)) (or (not (tptp.s_t Xa Xb Xd)) (not (tptp.s_t Xa Xc Xd)) (tptp.s_t Xa Xb Xc) (tptp.s_t Xa Xc Xb))) (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted) (Xd $$unsorted)) (let ((_let_1 (tptp.ins Xc Xd Xa Xb))) (let ((_let_2 (not (tptp.le Xa Xb Xc Xd)))) (and (or _let_2 (tptp.s_t Xa Xb _let_1)) (or _let_2 (tptp.s_e Xa _let_1 Xc Xd)) (or _let_2 (= _let_1 (tptp.ext Xa Xb (tptp.insert Xa Xb Xc Xd) Xd))))))) (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted) (Xd $$unsorted) (Xe $$unsorted)) (or (tptp.le Xa Xb Xc Xd) (not (tptp.s_t Xa Xb Xe)) (not (tptp.s_e Xa Xe Xc Xd)))) (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted) (Xd $$unsorted) (Xa1 $$unsorted) (Xb1 $$unsorted) (Xc1 $$unsorted) (Xd1 $$unsorted)) (or (not (tptp.le Xa Xb Xc Xd)) (not (tptp.s_e Xa Xb Xa1 Xb1)) (not (tptp.s_e Xc Xd Xc1 Xd1)) (tptp.le Xa1 Xb1 Xc1 Xd1))) (forall ((Xa $$unsorted) (Xb $$unsorted)) (tptp.le Xa Xb Xa Xb)) (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted) (Xd $$unsorted) (Xe $$unsorted) (Xf $$unsorted)) (or (not (tptp.le Xa Xb Xc Xd)) (not (tptp.le Xc Xd Xe Xf)) (tptp.le Xa Xb Xe Xf))) (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted) (Xd $$unsorted)) (or (not (tptp.le Xa Xb Xc Xd)) (not (tptp.le Xc Xd Xa Xb)) (tptp.s_e Xa Xb Xc Xd))) (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted) (Xd $$unsorted)) (or (tptp.le Xa Xb Xc Xd) (tptp.le Xc Xd Xa Xb))) (forall ((Xa $$unsorted) (Xc $$unsorted) (Xd $$unsorted)) (tptp.le Xa Xa Xc Xd)) (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted)) (or (not (tptp.s_col Xa Xb Xc)) (not (tptp.s_t Xa Xb Xc)) (tptp.le Xa Xb Xa Xc))) (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted)) (or (not (tptp.s_col Xa Xb Xc)) (not (tptp.s_t Xa Xb Xc)) (tptp.le Xb Xc Xa Xc))) (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted)) (or (not (tptp.s_t Xa Xb Xc)) (not (tptp.s_e Xa Xc Xa Xb)) (= Xc Xb))) (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted)) (or (not (tptp.s_col Xa Xb Xc)) (tptp.s_t Xa Xb Xc) (not (tptp.le Xa Xb Xa Xc)) (not (tptp.le Xb Xc Xa Xc)))) (forall ((Xa $$unsorted) (Xp $$unsorted) (Xb $$unsorted) (Xc $$unsorted)) (or (= Xa Xp) (= Xb Xp) (= Xc Xp) (not (tptp.s_t Xa Xp Xc)) (not (tptp.s_t Xb Xp Xc)) (tptp.sameside Xa Xp Xb))) (forall ((Xa $$unsorted) (Xp $$unsorted) (Xb $$unsorted) (Xc $$unsorted)) (or (= Xa Xp) (= Xb Xp) (= Xc Xp) (not (tptp.s_t Xa Xp Xc)) (tptp.s_t Xb Xp Xc) (not (tptp.sameside Xa Xp Xb)))) (forall ((Xa $$unsorted) (Xp $$unsorted) (Xb $$unsorted)) (let ((_let_1 (tptp.c63 Xa Xp Xb))) (let ((_let_2 (not (tptp.sameside Xa Xp Xb)))) (and (or _let_2 (not (= Xa Xp))) (or _let_2 (not (= Xb Xp))) (or _let_2 (not (= _let_1 Xp))) (or _let_2 (tptp.s_t Xa Xp _let_1)) (or _let_2 (tptp.s_t Xb Xp _let_1)))))) (forall ((Xa $$unsorted) (Xp $$unsorted) (Xb $$unsorted) (Xc $$unsorted)) (or (tptp.sameside Xa Xp Xb) (= Xa Xp) (= Xb Xp) (= Xc Xp) (not (tptp.s_t Xa Xp Xc)) (not (tptp.s_t Xb Xp Xc)))) (forall ((Xa $$unsorted) (Xp $$unsorted) (Xb $$unsorted)) (let ((_let_1 (not (tptp.sameside Xa Xp Xb)))) (and (or _let_1 (tptp.s_col Xa Xp Xb)) (or _let_1 (not (tptp.s_t Xa Xp Xb)))))) (forall ((Xa $$unsorted) (Xp $$unsorted) (Xb $$unsorted)) (or (tptp.sameside Xa Xp Xb) (not (tptp.s_col Xa Xp Xb)) (tptp.s_t Xa Xp Xb))) (forall ((Xa $$unsorted) (Xp $$unsorted)) (or (= Xa Xp) (tptp.sameside Xa Xp Xa))) (forall ((Xa $$unsorted) (Xp $$unsorted) (Xb $$unsorted)) (or (not (tptp.sameside Xa Xp Xb)) (tptp.sameside Xb Xp Xa))) (forall ((Xa $$unsorted) (Xp $$unsorted) (Xb $$unsorted) (Xc $$unsorted)) (or (not (tptp.sameside Xa Xp Xb)) (not (tptp.sameside Xb Xp Xc)) (tptp.sameside Xa Xp Xc))) (forall ((Xr $$unsorted) (Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted)) (let ((_let_1 (tptp.insert Xb Xc Xa Xr))) (let ((_let_2 (= Xb Xc))) (let ((_let_3 (= Xr Xa))) (and (or _let_3 _let_2 (tptp.sameside _let_1 Xa Xr)) (or _let_3 _let_2 (tptp.s_e Xa _let_1 Xb Xc))))))) (forall ((Xr $$unsorted) (Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted) (Xp $$unsorted) (Xq $$unsorted)) (or (= Xr Xa) (= Xb Xc) (not (tptp.sameside Xp Xa Xr)) (not (tptp.s_e Xa Xp Xb Xc)) (not (tptp.sameside Xq Xa Xr)) (not (tptp.s_e Xa Xq Xb Xc)) (= Xp Xq))) (forall ((Xa $$unsorted) (Xp $$unsorted) (Xb $$unsorted)) (or (not (tptp.sameside Xa Xp Xb)) (not (tptp.le Xp Xa Xp Xb)) (tptp.s_t Xp Xa Xb))) (forall ((Xa $$unsorted) (Xp $$unsorted) (Xb $$unsorted)) (or (not (tptp.sameside Xa Xp Xb)) (tptp.le Xp Xa Xp Xb) (not (tptp.s_t Xp Xa Xb)))) (forall ((Xp $$unsorted) (Xq $$unsorted) (Xr $$unsorted) (Xa $$unsorted)) (or (= Xp Xq) (= Xp Xr) (not (tptp.s_t Xq Xp Xr)) (not (tptp.s_col Xa Xp Xq)) (= Xa Xp) (tptp.sameside Xa Xp Xq) (tptp.sameside Xa Xp Xr))) (forall ((Xp $$unsorted) (Xq $$unsorted) (Xr $$unsorted) (Xa $$unsorted)) (or (= Xp Xq) (= Xp Xr) (not (tptp.s_t Xq Xp Xr)) (not (tptp.sameside Xa Xp Xq)) (tptp.s_col Xa Xp Xq))) (forall ((Xp $$unsorted) (Xq $$unsorted) (Xr $$unsorted) (Xa $$unsorted)) (or (= Xp Xq) (= Xp Xr) (not (tptp.s_t Xq Xp Xr)) (not (tptp.sameside Xa Xp Xr)) (tptp.s_col Xa Xp Xq))) (forall ((Xp $$unsorted) (Xq $$unsorted) (Xr $$unsorted) (Xa $$unsorted)) (or (= Xp Xq) (= Xp Xr) (not (tptp.s_t Xq Xp Xr)) (not (= Xa Xp)) (tptp.s_col Xa Xp Xq))) (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted) (Xd $$unsorted)) (or (= Xa Xb) (not (tptp.s_t Xc Xa Xb)) (not (tptp.s_t Xd Xa Xb)) (tptp.s_t Xd Xc Xb) (tptp.s_t Xc Xd Xb))) (forall ((Xp $$unsorted) (Xq $$unsorted) (Xcs $$unsorted) (Xr $$unsorted)) (or (= Xp Xq) (= Xcs Xp) (not (tptp.s_col Xp Xq Xcs)) (not (tptp.s_col Xp Xq Xr)) (tptp.s_col Xp Xcs Xr))) (forall ((Xp $$unsorted) (Xq $$unsorted)) (or (= Xp Xq) (tptp.s_col Xp Xq Xp))) (forall ((Xp $$unsorted) (Xq $$unsorted) (Xr $$unsorted)) (or (= Xp Xq) (not (tptp.s_col Xp Xq Xr)) (tptp.s_col Xq Xp Xr))) (forall ((Xa $$unsorted) (Xb $$unsorted) (Xp $$unsorted) (Xq $$unsorted) (Xr $$unsorted)) (or (= Xa Xb) (= Xp Xq) (not (tptp.s_col Xp Xq Xa)) (not (tptp.s_col Xp Xq Xb)) (not (tptp.s_col Xp Xq Xr)) (tptp.s_col Xa Xb Xr))) (forall ((Xa $$unsorted) (Xb $$unsorted) (Xp $$unsorted) (Xq $$unsorted) (Xc $$unsorted) (Xd $$unsorted) (Xe $$unsorted)) (or (= Xa Xb) (= Xp Xq) (not (tptp.s_col Xa Xb Xc)) (not (tptp.s_col Xp Xq Xc)) (not (tptp.s_col Xa Xb Xd)) (not (tptp.s_col Xp Xq Xd)) (= Xc Xd) (not (tptp.s_col Xa Xb Xe)) (tptp.s_col Xp Xq Xe))) (forall ((Xa $$unsorted) (Xb $$unsorted)) (or (= Xa Xb) (not (tptp.s_col Xa Xb (tptp.pointOffLine Xa Xb))))) (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted) (Xa1 $$unsorted) (Xb1 $$unsorted) (Xc1 $$unsorted)) (or (not (tptp.sameside Xa Xb Xc)) (not (tptp.sameside Xa1 Xb1 Xc1)) (not (tptp.s_e Xb Xa Xb1 Xa1)) (not (tptp.s_e Xb Xc Xb1 Xc1)) (tptp.s_e Xa Xc Xa1 Xc1))) (forall ((Xa $$unsorted) (Xm $$unsorted) (Xb $$unsorted)) (or (not (tptp.s_m Xa Xm Xb)) (tptp.s_m Xb Xm Xa))) (forall ((Xa $$unsorted) (Xm $$unsorted)) (or (not (tptp.s_m Xa Xm Xa)) (= Xm Xa))) (forall ((Xa $$unsorted) (Xm $$unsorted)) (or (tptp.s_m Xa Xm Xa) (not (= Xm Xa)))) (forall ((Xp $$unsorted) (Xa $$unsorted)) (tptp.s_m Xp Xa (tptp.s Xa Xp))) (forall ((Xp $$unsorted) (Xa $$unsorted) (Xr $$unsorted) (Xq $$unsorted)) (or (not (tptp.s_m Xp Xa Xr)) (not (tptp.s_m Xp Xa Xq)) (= Xr Xq))) (forall ((Xp $$unsorted) (Xa $$unsorted) (Xq $$unsorted)) (or (not (tptp.s_m Xp Xa Xq)) (= Xq (tptp.s Xa Xp)))) (forall ((Xa $$unsorted) (Xp $$unsorted)) (= (tptp.s Xa (tptp.s Xa Xp)) Xp)) (forall ((Xa $$unsorted) (Xp $$unsorted) (Xr $$unsorted) (Xq $$unsorted)) (or (not (= (tptp.s Xa Xp) Xr)) (not (= (tptp.s Xa Xq) Xr)) (= Xp Xq))) (forall ((Xa $$unsorted) (Xp $$unsorted) (Xq $$unsorted)) (or (not (= (tptp.s Xa Xp) (tptp.s Xa Xq))) (= Xp Xq))) (forall ((Xa $$unsorted) (Xp $$unsorted)) (or (not (= (tptp.s Xa Xp) Xp)) (= Xp Xa))) (forall ((Xa $$unsorted) (Xp $$unsorted)) (or (= (tptp.s Xa Xp) Xp) (not (= Xp Xa)))) (forall ((Xp $$unsorted) (Xq $$unsorted) (Xa $$unsorted)) (tptp.s_e Xp Xq (tptp.s Xa Xp) (tptp.s Xa Xq))) (forall ((Xp $$unsorted) (Xq $$unsorted) (Xr $$unsorted) (Xa $$unsorted)) (or (not (tptp.s_t Xp Xq Xr)) (tptp.s_t (tptp.s Xa Xp) (tptp.s Xa Xq) (tptp.s Xa Xr)))) (forall ((Xp $$unsorted) (Xq $$unsorted) (Xr $$unsorted) (Xa $$unsorted)) (or (tptp.s_t Xp Xq Xr) (not (tptp.s_t (tptp.s Xa Xp) (tptp.s Xa Xq) (tptp.s Xa Xr))))) (forall ((Xp $$unsorted) (Xq $$unsorted) (Xr $$unsorted) (Xcs $$unsorted) (Xa $$unsorted)) (or (not (tptp.s_e Xp Xq Xr Xcs)) (tptp.s_e (tptp.s Xa Xp) (tptp.s Xa Xq) (tptp.s Xa Xr) (tptp.s Xa Xcs)))) (forall ((Xp $$unsorted) (Xq $$unsorted) (Xr $$unsorted) (Xcs $$unsorted) (Xa $$unsorted)) (or (tptp.s_e Xp Xq Xr Xcs) (not (tptp.s_e (tptp.s Xa Xp) (tptp.s Xa Xq) (tptp.s Xa Xr) (tptp.s Xa Xcs))))) (forall ((Xp $$unsorted) (Xa $$unsorted) (Xq $$unsorted) (Xb $$unsorted)) (or (not (tptp.s_m Xp Xa Xq)) (not (tptp.s_m Xp Xb Xq)) (= Xa Xb))) (forall ((Xa $$unsorted) (Xp $$unsorted) (Xb $$unsorted)) (or (not (= (tptp.s Xa Xp) (tptp.s Xb Xp))) (= Xa Xb))) (forall ((Xa $$unsorted) (Xb $$unsorted) (Xp $$unsorted)) (or (not (= (tptp.s Xa (tptp.s Xb Xp)) (tptp.s Xb (tptp.s Xa Xp)))) (= Xa Xb))) (forall ((Xa $$unsorted) (Xm $$unsorted) (Xb $$unsorted)) (or (not (tptp.s_col Xa Xm Xb)) (not (tptp.s_e Xm Xa Xm Xb)) (= Xa Xb) (tptp.s_m Xa Xm Xb))) (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted) (Xd $$unsorted) (Xp $$unsorted)) (or (tptp.s_col Xa Xb Xc) (= Xb Xd) (not (tptp.s_e Xa Xb Xc Xd)) (not (tptp.s_e Xb Xc Xd Xa)) (not (tptp.s_col Xa Xp Xc)) (not (tptp.s_col Xb Xp Xd)) (tptp.s_m Xa Xp Xc))) (forall ((Xa1 $$unsorted) (Xm1 $$unsorted) (Xb1 $$unsorted) (Xc $$unsorted) (Xb2 $$unsorted) (Xm2 $$unsorted) (Xa2 $$unsorted)) (or (not (tptp.s_kf Xa1 Xm1 Xb1 Xc Xb2 Xm2 Xa2)) (tptp.s_t Xm1 Xc Xm2) (not (tptp.le Xc Xa1 Xc Xa2)))) _let_4 _let_3 (forall ((Xa $$unsorted) (Xb $$unsorted) (Xa1 $$unsorted) (Xc1 $$unsorted)) (= (tptp.insert Xa Xb Xa1 Xc1) (tptp.ext (tptp.ext Xc1 Xa1 tptp.alpha tptp.gamma) Xa1 Xa Xb))) (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted) (Xd $$unsorted) (Za $$unsorted) (Zb $$unsorted) (Zc $$unsorted) (Zd $$unsorted)) (let ((_let_1 (tptp.s_afs Xa Xb Xc Xd Za Zb Zc Zd))) (let ((_let_2 (tptp.s_e Xb Xd Zb Zd))) (let ((_let_3 (tptp.s_e Xa Xd Za Zd))) (let ((_let_4 (tptp.s_e Xb Xc Zb Zc))) (let ((_let_5 (tptp.s_e Xa Xb Za Zb))) (let ((_let_6 (tptp.s_t Za Zb Zc))) (let ((_let_7 (tptp.s_t Xa Xb Xc))) (let ((_let_8 (not _let_1))) (and (or _let_8 _let_7) (or _let_8 _let_6) (or _let_8 _let_5) (or _let_8 _let_4) (or _let_8 _let_3) (or _let_8 _let_2) (or (not _let_7) (not _let_6) (not _let_5) (not _let_4) (not _let_3) (not _let_2) _let_1))))))))))) (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted) (Xd $$unsorted) (Za $$unsorted) (Zb $$unsorted) (Zc $$unsorted) (Zd $$unsorted)) (let ((_let_1 (tptp.s_ifs Xa Xb Xc Xd Za Zb Zc Zd))) (let ((_let_2 (tptp.s_e Xc Xd Zc Zd))) (let ((_let_3 (tptp.s_e Xa Xd Za Zd))) (let ((_let_4 (tptp.s_e Xb Xc Zb Zc))) (let ((_let_5 (tptp.s_e Xa Xc Za Zc))) (let ((_let_6 (tptp.s_t Za Zb Zc))) (let ((_let_7 (tptp.s_t Xa Xb Xc))) (let ((_let_8 (not _let_1))) (and (or _let_8 _let_7) (or _let_8 _let_6) (or _let_8 _let_5) (or _let_8 _let_4) (or _let_8 _let_3) (or _let_8 _let_2) (or (not _let_7) (not _let_6) (not _let_5) (not _let_4) (not _let_3) (not _let_2) _let_1))))))))))) (forall ((Xa1 $$unsorted) (Xa2 $$unsorted) (Xa3 $$unsorted) (Xb1 $$unsorted) (Xb2 $$unsorted) (Xb3 $$unsorted)) (let ((_let_1 (tptp.s_e3 Xa1 Xa2 Xa3 Xb1 Xb2 Xb3))) (let ((_let_2 (tptp.s_e Xa2 Xa3 Xb2 Xb3))) (let ((_let_3 (tptp.s_e Xa1 Xa3 Xb1 Xb3))) (let ((_let_4 (tptp.s_e Xa1 Xa2 Xb1 Xb2))) (let ((_let_5 (not _let_1))) (and (or _let_5 _let_4) (or _let_5 _let_3) (or _let_5 _let_2) (or (not _let_4) (not _let_3) (not _let_2) _let_1)))))))) (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted)) (let ((_let_1 (tptp.s_t Xc Xa Xb))) (let ((_let_2 (tptp.s_col Xa Xb Xc))) (let ((_let_3 (tptp.s_t Xb Xc Xa))) (let ((_let_4 (tptp.s_t Xa Xb Xc))) (and (or (not _let_2) _let_4 _let_3 _let_1) (or _let_2 (not _let_4)) (or _let_2 (not _let_3)) (or _let_2 (not _let_1)))))))) (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted) (Xd $$unsorted) (Xa1 $$unsorted) (Xb1 $$unsorted) (Xc1 $$unsorted) (Xd1 $$unsorted)) (let ((_let_1 (tptp.s_fs Xa Xb Xc Xd Xa1 Xb1 Xc1 Xd1))) (let ((_let_2 (tptp.s_e Xb Xd Xb1 Xd1))) (let ((_let_3 (tptp.s_e Xa Xd Xa1 Xd1))) (let ((_let_4 (tptp.s_e3 Xa Xb Xc Xa1 Xb1 Xc1))) (let ((_let_5 (tptp.s_col Xa Xb Xc))) (let ((_let_6 (not _let_1))) (and (or _let_6 _let_5) (or _let_6 _let_4) (or _let_6 _let_3) (or _let_6 _let_2) (or (not _let_5) (not _let_4) (not _let_3) (not _let_2) _let_1))))))))) (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted) (Xd $$unsorted) (Y $$unsorted)) (let ((_let_1 (tptp.le Xa Xb Xc Xd))) (let ((_let_2 (tptp.insert Xa Xb Xc Xd))) (let ((_let_3 (not _let_1))) (and (or _let_3 (tptp.s_t Xc _let_2 Xd)) (or _let_3 (tptp.s_e Xa Xb Xc _let_2)) (or (not (tptp.s_t Xc Y Xd)) (not (tptp.s_e Xa Xb Xc Y)) _let_1)))))) (forall ((Xa $$unsorted) (Xp $$unsorted) (Xb $$unsorted)) (let ((_let_1 (tptp.sameside Xa Xp Xb))) (let ((_let_2 (= Xb Xp))) (let ((_let_3 (= Xa Xp))) (let ((_let_4 (tptp.s_t Xp Xb Xa))) (let ((_let_5 (tptp.s_t Xp Xa Xb))) (let ((_let_6 (not _let_1))) (and (or _let_6 (not _let_3)) (or _let_6 (not _let_2)) (or _let_6 _let_5 _let_4) (or (not _let_5) _let_3 (= tptp.xb Xp) _let_1) (or (not _let_4) _let_3 _let_2 _let_1))))))))) (forall ((Xa $$unsorted) (Xm $$unsorted) (Xb $$unsorted)) (let ((_let_1 (tptp.s_m Xa Xm Xb))) (let ((_let_2 (tptp.s_e Xm Xa Xm Xb))) (let ((_let_3 (tptp.s_t Xa Xm Xb))) (let ((_let_4 (not _let_1))) (and (or _let_4 _let_3) (or _let_4 _let_2) (or (not _let_3) (not _let_2) _let_1))))))) _let_1 true))))))))))))))))))))))))))))))))))))
% 25.56/26.08  )
% 25.56/26.08  % SZS output end Proof for GEO502+1
% 25.56/26.08  % cvc5---1.0.5 exiting
% 25.56/26.09  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------