TSTP Solution File: DAT091_1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : DAT091_1 : TPTP v8.1.2. Released v6.1.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% 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 : Wed Aug 30 22:10:34 EDT 2023
% Result : Theorem 15.57s 15.78s
% Output : Proof 15.57s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : DAT091_1 : TPTP v8.1.2. Released v6.1.0.
% 0.12/0.12 % Command : do_cvc5 %s %d
% 0.14/0.32 % Computer : n028.cluster.edu
% 0.14/0.32 % Model : x86_64 x86_64
% 0.14/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.32 % Memory : 8042.1875MB
% 0.14/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.32 % CPULimit : 300
% 0.14/0.32 % WCLimit : 300
% 0.14/0.32 % DateTime : Thu Aug 24 14:49:35 EDT 2023
% 0.14/0.32 % CPUTime :
% 0.18/0.45 %----Proving TF0_ARI
% 15.57/15.78 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.7xK32xjpjB/cvc5---1.0.5_32395.p...
% 15.57/15.78 ------- get file name : TPTP file name is DAT091_1
% 15.57/15.78 ------- cvc5-tfa : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_32395.smt2...
% 15.57/15.78 --- Run --finite-model-find --decision=internal at 15...
% 15.57/15.78 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 15.57/15.78 --- Run --no-e-matching --full-saturate-quant at 15...
% 15.57/15.78 % SZS status Theorem for DAT091_1
% 15.57/15.78 % SZS output start Proof for DAT091_1
% 15.57/15.78 (
% 15.57/15.78 (let ((_let_1 (not (not (forall ((L1 tptp.list) (L2 tptp.list)) (=> (not (= L1 L2)) (forall ((N Int)) (not (= (tptp.count N L1) (tptp.count N L2)))))))))) (let ((_let_2 (forall ((K Int) (H Int) (T tptp.list) (N Int)) (=> (not (= K H)) (= (tptp.count K (tptp.cons H T)) (tptp.count K T)))))) (let ((_let_3 (forall ((H Int) (T tptp.list)) (= (tptp.length (tptp.cons H T)) (+ 1 (tptp.length T)))))) (let ((_let_4 (tptp.length tptp.nil))) (let ((_let_5 (= _let_4 0))) (let ((_let_6 (forall ((K Int) (L tptp.list)) (not (= (tptp.cons K L) tptp.nil))))) (let ((_let_7 (tptp.cons 0 tptp.nil))) (let ((_let_8 (tptp.length _let_7))) (let ((_let_9 (= _let_4 (+ (- 1) _let_8)))) (let ((_let_10 (= _let_8 0))) (let ((_let_11 (ASSUME :args (_let_5)))) (let ((_let_12 (_let_3))) (let ((_let_13 (ASSUME :args _let_12))) (let ((_let_14 (0 tptp.nil QUANTIFIERS_INST_ENUM))) (let ((_let_15 (= (tptp.count _let_8 tptp.nil) (tptp.count _let_8 _let_7)))) (let ((_let_16 (or _let_10 _let_15))) (let ((_let_17 (forall ((K Int) (H Int) (T tptp.list)) (or (= K H) (= (tptp.count K (tptp.cons H T)) (tptp.count K T)))))) (let ((_let_18 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_19 (not _let_15))) (let ((_let_20 (= tptp.nil _let_7))) (let ((_let_21 (or _let_20 _let_19))) (let ((_let_22 (forall ((L1 tptp.list) (L2 tptp.list) (BOUND_VARIABLE_854 Int)) (or (= L1 L2) (not (= (tptp.count BOUND_VARIABLE_854 L1) (tptp.count BOUND_VARIABLE_854 L2))))))) (let ((_let_23 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_24 (forall ((K Int) (L tptp.list)) (not (= tptp.nil (tptp.cons K L)))))) (let ((_let_25 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_26 (not (= 0 _let_8)))) (let ((_let_27 (ASSUME :args (_let_10)))) (let ((_let_28 ((= _let_4 _let_8)))) (let ((_let_29 (ASSUME :args (_let_9)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO (MODUS_PONENS (AND_INTRO _let_11 _let_29) (SCOPE (FALSE_ELIM (TRANS (CONG (SYMM _let_11) (REFL :args (_let_8)) :args (=)) (FALSE_INTRO (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB (ASSUME :args _let_28) (MACRO_SR_PRED_TRANSFORM _let_29 :args ((= (+ _let_4 (* (- 1) _let_8)) (- 1)))) :args ((- 1) 1)) :args (false)) :args _let_28)))) :args (_let_5 _let_9))) _let_27) :args (_let_5 _let_9 _let_10)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO (ASSUME :args (_let_26)))) (TRUE_INTRO (SYMM _let_27)))) :args (_let_26 _let_10)) :args ((not (and _let_5 _let_9 _let_10)) SB_LITERAL))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_16)) :args ((or _let_10 _let_15 (not _let_16)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_21)) :args ((or _let_20 _let_19 (not _let_21)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_25 :args _let_14) :args (_let_24))) _let_25 :args ((not _let_20) false _let_24)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_23 :args (tptp.nil _let_7 _let_8 QUANTIFIERS_INST_ENUM)) :args (_let_22))) _let_23 :args (_let_21 false _let_22)) :args (_let_19 true _let_20 false _let_21)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_18 :args (_let_8 0 tptp.nil QUANTIFIERS_INST_CBQI_CONFLICT)) :args (_let_17)))) _let_18 :args (_let_16 false _let_17)) :args (_let_10 true _let_15 false _let_16)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_13 :args _let_14) :args _let_12))) _let_13 :args (_let_9 false _let_3)) _let_11 :args (false false _let_10 false _let_9 false _let_5)) :args ((forall ((K Int) (L tptp.list)) (= (tptp.head (tptp.cons K L)) K)) (forall ((K Int) (L tptp.list)) (= (tptp.tail (tptp.cons K L)) L)) (forall ((L tptp.list)) (or (= L tptp.nil) (= L (tptp.cons (tptp.head L) (tptp.tail L))))) _let_6 (forall ((X Int) (L tptp.list)) (= (tptp.in X L) (or (exists ((H Int) (T tptp.list)) (and (= L (tptp.cons H T)) (= X H))) (exists ((H Int) (T tptp.list)) (and (= L (tptp.cons H T)) (tptp.in X T)))))) (forall ((N Int) (L tptp.list)) (= (tptp.inRange N L) (or (= L tptp.nil) (exists ((K Int) (T tptp.list)) (and (= L (tptp.cons K T)) (<= 0 K) (< K N) (tptp.inRange N T)))))) _let_5 _let_3 (forall ((K Int)) (= (tptp.count K tptp.nil) 0)) _let_2 (forall ((K Int) (H Int) (T tptp.list) (N Int)) (=> (= K H) (= (tptp.count K (tptp.cons H T)) (+ (tptp.count K T) 1)))) (forall ((L tptp.list)) (= (tptp.append tptp.nil L) L)) (forall ((I Int) (K tptp.list) (L tptp.list)) (= (tptp.append (tptp.cons I K) L) (tptp.cons I (tptp.append K L)))) (forall ((N Int) (L tptp.list)) (= (tptp.in N L) (> (tptp.count N L) 0))) _let_1 true))))))))))))))))))))))))))))))))
% 15.57/15.78 )
% 15.57/15.78 % SZS output end Proof for DAT091_1
% 15.57/15.78 % cvc5---1.0.5 exiting
% 15.57/15.78 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------