TSTP Solution File: DAT093_1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : DAT093_1 : TPTP v8.1.2. Released v6.1.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n001.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 22:10:35 EDT 2023
% Result : Theorem 0.21s 0.55s
% Output : Proof 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : DAT093_1 : TPTP v8.1.2. Released v6.1.0.
% 0.00/0.15 % Command : do_cvc5 %s %d
% 0.14/0.36 % Computer : n001.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Thu Aug 24 14:39:26 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.21/0.50 %----Proving TF0_ARI
% 0.21/0.55 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.aPsfChF8mT/cvc5---1.0.5_4561.p...
% 0.21/0.55 ------- get file name : TPTP file name is DAT093_1
% 0.21/0.55 ------- cvc5-tfa : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_4561.smt2...
% 0.21/0.55 --- Run --finite-model-find --decision=internal at 15...
% 0.21/0.55 % SZS status Theorem for DAT093_1
% 0.21/0.55 % SZS output start Proof for DAT093_1
% 0.21/0.55 (
% 0.21/0.55 (let ((_let_1 (not (not (forall ((K tptp.list) (L tptp.list)) (= (tptp.length (tptp.append K L)) (+ (+ (tptp.length K) (tptp.length L)) 1))))))) (let ((_let_2 (forall ((L tptp.list)) (= (tptp.append tptp.nil L) L)))) (let ((_let_3 (tptp.length tptp.nil))) (let ((_let_4 (= _let_3 0))) (let ((_let_5 (* 2 _let_3))) (let ((_let_6 (tptp.append tptp.nil tptp.nil))) (let ((_let_7 (tptp.length _let_6))) (let ((_let_8 (= _let_7 (+ 1 _let_5)))) (let ((_let_9 (= tptp.nil _let_6))) (let ((_let_10 (_let_4))) (let ((_let_11 (ASSUME :args _let_10))) (let ((_let_12 (forall ((K tptp.list) (L tptp.list)) (= (tptp.length (tptp.append K L)) (+ 1 (tptp.length K) (tptp.length L)))))) (let ((_let_13 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_14 (forall ((L tptp.list)) (= L (tptp.append tptp.nil L))))) (let ((_let_15 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_16 (= 0 _let_7))) (let ((_let_17 (= _let_7 0))) (let ((_let_18 ((not _let_17)))) (let ((_let_19 (_let_17))) (let ((_let_20 (ASSUME :args (_let_8)))) (let ((_let_21 (= 0 _let_3))) (let ((_let_22 (ASSUME :args (_let_9)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_11 _let_20 (MODUS_PONENS (AND_INTRO _let_22 (MODUS_PONENS _let_11 (SCOPE (SYMM _let_11) :args _let_10))) (SCOPE (TRANS (SYMM (SYMM (ASSUME :args (_let_21)))) (CONG (SYMM (SYMM _let_22)) :args (APPLY_UF tptp.length))) :args (_let_9 _let_21)))) :args (_let_4 _let_8 _let_9)) (SCOPE (CONTRA (MACRO_SR_PRED_TRANSFORM (ASSUME :args (_let_16)) :args _let_19) (MACRO_SR_PRED_TRANSFORM (MACRO_SR_PRED_TRANSFORM (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB (ASSUME :args _let_19) (MACRO_SR_PRED_TRANSFORM _let_20 :args ((= (+ _let_5 (* (- 1) _let_7)) (- 1)))) _let_11 :args (1.0 1.0 (- 2.0))) :args (false)) :args _let_19) :args _let_18) :args _let_18)) :args (_let_4 _let_8 _let_16)) :args ((not (and _let_4 _let_8 _let_9)) SB_LITERAL))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_15 :args (tptp.nil QUANTIFIERS_INST_CBQI_PROP)) :args (_let_14))) _let_15 :args (_let_9 false _let_14)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_13 :args (tptp.nil tptp.nil QUANTIFIERS_INST_FMF_FMC_EXH)) :args (_let_12)))) _let_13 :args (_let_8 false _let_12)) _let_11 :args (false false _let_9 false _let_8 false _let_4)) :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))))) (forall ((K Int) (L tptp.list)) (not (= (tptp.cons K L) tptp.nil))) (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_4 (forall ((H Int) (T tptp.list)) (= (tptp.length (tptp.cons H T)) (+ 1 (tptp.length T)))) (forall ((K Int)) (= (tptp.count K tptp.nil) 0)) (forall ((K Int) (H Int) (T tptp.list) (N Int)) (=> (not (= K H)) (= (tptp.count K (tptp.cons H T)) (tptp.count K T)))) (forall ((K Int) (H Int) (T tptp.list) (N Int)) (=> (= K H) (= (tptp.count K (tptp.cons H T)) (+ (tptp.count K T) 1)))) _let_2 (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)))))))))))))))))))))))))
% 0.21/0.55 )
% 0.21/0.55 % SZS output end Proof for DAT093_1
% 0.21/0.55 % cvc5---1.0.5 exiting
% 0.21/0.56 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------