TSTP Solution File: DAT082_1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : DAT082_1 : TPTP v8.1.2. Released v6.1.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n032.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 22:10:32 EDT 2023
% Result : Theorem 0.14s 0.47s
% Output : Proof 0.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : DAT082_1 : TPTP v8.1.2. Released v6.1.0.
% 0.00/0.10 % Command : do_cvc5 %s %d
% 0.12/0.29 % Computer : n032.cluster.edu
% 0.12/0.29 % Model : x86_64 x86_64
% 0.12/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.29 % Memory : 8042.1875MB
% 0.12/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.29 % CPULimit : 300
% 0.12/0.29 % WCLimit : 300
% 0.12/0.29 % DateTime : Thu Aug 24 14:11:12 EDT 2023
% 0.12/0.29 % CPUTime :
% 0.14/0.38 %----Proving TF0_ARI
% 0.14/0.47 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.okzIRPBTSY/cvc5---1.0.5_26124.p...
% 0.14/0.47 ------- get file name : TPTP file name is DAT082_1
% 0.14/0.47 ------- cvc5-tfa : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_26124.smt2...
% 0.14/0.47 --- Run --finite-model-find --decision=internal at 15...
% 0.14/0.47 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 0.14/0.47 % SZS status Theorem for DAT082_1
% 0.14/0.47 % SZS output start Proof for DAT082_1
% 0.14/0.47 (
% 0.14/0.47 (let ((_let_1 (tptp.cons 2 tptp.nil))) (let ((_let_2 (tptp.length (tptp.cons 1 _let_1)))) (let ((_let_3 (= _let_2 2))) (let ((_let_4 (not _let_3))) (let ((_let_5 (forall ((H Int) (T tptp.list)) (= (tptp.length (tptp.cons H T)) (+ 1 (tptp.length T)))))) (let ((_let_6 (tptp.length tptp.nil))) (let ((_let_7 (= _let_6 0))) (let ((_let_8 (tptp.length _let_1))) (let ((_let_9 (= _let_2 (+ 1 _let_8)))) (let ((_let_10 (= _let_6 (+ (- 1) _let_8)))) (let ((_let_11 (>= _let_2 3))) (let ((_let_12 (ASSUME :args (_let_7)))) (let ((_let_13 (_let_5))) (let ((_let_14 (ASSUME :args _let_13))) (let ((_let_15 ((tptp.cons H T)))) (let ((_let_16 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_14 :args (1 _let_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_15)) :args _let_13)) _let_14 :args (_let_9 false _let_5)))) (let ((_let_17 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_14 :args (2 tptp.nil QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_15)) :args _let_13))) _let_14 :args (_let_10 false _let_5)))) (let ((_let_18 (ASSUME :args (_let_4)))) (let ((_let_19 (not _let_10))) (let ((_let_20 (not _let_9))) (let ((_let_21 (not _let_7))) (let ((_let_22 (not _let_11))) (let ((_let_23 (<= _let_2 1))) (let ((_let_24 (_let_23))) (let ((_let_25 (false))) (let ((_let_26 (* (- 1) _let_8))) (let ((_let_27 (ASSUME :args (_let_9)))) (let ((_let_28 (MACRO_SR_PRED_TRANSFORM _let_27 :args ((= (+ _let_2 _let_26) 1))))) (let ((_let_29 (ASSUME :args (_let_10)))) (let ((_let_30 (MACRO_SR_PRED_TRANSFORM _let_29 :args ((= (+ _let_6 _let_26) (- 1)))))) (let ((_let_31 ((< _let_2 3)))) (let ((_let_32 (_let_22))) (let ((_let_33 (ASSUME :args _let_32))) (let ((_let_34 (_let_11))) (let ((_let_35 (ASSUME :args _let_34))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (NOT_AND (SCOPE (CONTRA _let_35 (MACRO_SR_PRED_TRANSFORM (MACRO_SR_PRED_TRANSFORM (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB _let_35 _let_30 _let_28 _let_12 :args ((- 1.0) (- 1.0) 1.0 1.0)) :args _let_25) :args _let_34) :args _let_31) :args _let_32)) :args (_let_7 _let_9 _let_10 _let_11))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_12 _let_27 _let_29 _let_18 _let_33) :args (_let_7 _let_4 _let_9 _let_10 _let_22)) (SCOPE (CONTRA (INT_TIGHT_UB (ARITH_TRICHOTOMY _let_18 (INT_TIGHT_UB (MACRO_SR_PRED_TRANSFORM _let_33 :args _let_31)) :args ((< _let_2 2)))) (MACRO_SR_PRED_TRANSFORM (MACRO_SR_PRED_TRANSFORM (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB (ASSUME :args _let_24) _let_30 _let_28 _let_12 :args (1.0 1.0 (- 1.0) (- 1.0))) :args _let_25) :args _let_24) :args ((> _let_2 1))) :args ((not _let_23)))) :args (_let_7 _let_9 _let_10 _let_4 _let_22)) :args ((not (and _let_7 _let_4 _let_9 _let_10 _let_22)) SB_LITERAL))) (CONG (REFL :args (_let_21)) (MACRO_SR_PRED_INTRO :args ((= (not _let_4) _let_3))) (REFL :args (_let_20)) (REFL :args (_let_19)) (MACRO_SR_PRED_INTRO :args ((= (not _let_22) _let_11))) :args (or))) :args ((or _let_3 _let_21 _let_20 _let_19 _let_11))) _let_18 _let_12 _let_16 _let_17 :args (_let_11 true _let_3 false _let_7 false _let_9 false _let_10)) _let_17 _let_16 _let_12 :args (false false _let_11 false _let_10 false _let_9 false _let_7)) :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_7 _let_5 (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)))) (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_4 true))))))))))))))))))))))))))))))))))))))
% 0.14/0.47 )
% 0.14/0.47 % SZS output end Proof for DAT082_1
% 0.14/0.47 % cvc5---1.0.5 exiting
% 0.14/0.47 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------