TSTP Solution File: DAT080_1 by cvc5---1.0.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : DAT080_1 : TPTP v8.1.2. Released v6.1.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n003.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 22:10:31 EDT 2023
% Result : Theorem 0.75s 0.93s
% Output : Proof 0.75s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : DAT080_1 : TPTP v8.1.2. Released v6.1.0.
% 0.12/0.13 % Command : do_cvc5 %s %d
% 0.13/0.34 % Computer : n003.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu Aug 24 13:58:22 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.19/0.48 %----Proving TF0_ARI
% 0.75/0.93 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.IpDsb7wzH1/cvc5---1.0.5_27406.p...
% 0.75/0.93 ------- get file name : TPTP file name is DAT080_1
% 0.75/0.93 ------- cvc5-tfa : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_27406.smt2...
% 0.75/0.93 --- Run --finite-model-find --decision=internal at 15...
% 0.75/0.93 % SZS status Theorem for DAT080_1
% 0.75/0.93 % SZS output start Proof for DAT080_1
% 0.75/0.93 (
% 0.75/0.93 (let ((_let_1 (tptp.cons 3 tptp.nil))) (let ((_let_2 (tptp.cons 2 _let_1))) (let ((_let_3 (tptp.cons 1 _let_2))) (let ((_let_4 (tptp.in 4 _let_3))) (let ((_let_5 (not _let_4))) (let ((_let_6 (not _let_5))) (let ((_let_7 (forall ((N Int) (L tptp.list)) (= (tptp.in N L) (> (tptp.count N L) 0))))) (let ((_let_8 (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_9 (forall ((K Int)) (= (tptp.count K tptp.nil) 0)))) (let ((_let_10 (tptp.count 4 _let_2))) (let ((_let_11 (tptp.count 4 _let_3))) (let ((_let_12 (= _let_11 _let_10))) (let ((_let_13 (tptp.count 4 tptp.nil))) (let ((_let_14 (tptp.count 4 _let_1))) (let ((_let_15 (= _let_14 _let_13))) (let ((_let_16 (= _let_13 0))) (let ((_let_17 (= _let_14 _let_10))) (let ((_let_18 (>= _let_11 1))) (let ((_let_19 (forall ((K Int) (H Int) (T tptp.list)) (or (= K H) (= (tptp.count K (tptp.cons H T)) (tptp.count K T)))))) (let ((_let_20 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_21 (_let_19))) (let ((_let_22 (_let_9))) (let ((_let_23 (ASSUME :args _let_22))) (let ((_let_24 (= _let_4 _let_18))) (let ((_let_25 (forall ((N Int) (L tptp.list)) (= (tptp.in N L) (>= (tptp.count N L) 1))))) (let ((_let_26 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_27 (= 0 _let_11))) (let ((_let_28 (< _let_11 1))) (let ((_let_29 (_let_18))) (let ((_let_30 (ASSUME :args _let_29))) (let ((_let_31 (ASSUME :args (_let_12)))) (let ((_let_32 (ASSUME :args (_let_17)))) (let ((_let_33 (ASSUME :args (_let_15)))) (let ((_let_34 (ASSUME :args (_let_16)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_30 (MODUS_PONENS (AND_INTRO _let_31 _let_32 _let_33 _let_34) (SCOPE (TRANS (SYMM _let_34) (SYMM _let_33) (SYMM (SYMM _let_32)) (SYMM _let_31)) :args (_let_12 _let_17 _let_15 _let_16)))) :args (_let_12 _let_15 _let_16 _let_17 _let_18)) (SCOPE (CONTRA (MACRO_SR_PRED_TRANSFORM (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB _let_30 (MACRO_SR_PRED_TRANSFORM (ASSUME :args (_let_27)) :args ((= _let_11 0))) :args ((- 1.0) 1.0)) :args (false)) :args _let_29) :args (_let_28)) (MACRO_SR_PRED_TRANSFORM _let_30 :args ((not _let_28)))) :args (_let_18 _let_27)) :args ((not (and _let_12 _let_15 _let_16 _let_17 _let_18)) SB_LITERAL))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_24)) :args ((or _let_5 _let_18 (not _let_24)))) (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_26 :args (4 _let_3 QUANTIFIERS_INST_FMF_FMC_EXH)) :args (_let_25))) _let_26 :args (_let_24 false _let_25)) :args (_let_18 false _let_4 false _let_24)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_20 :args (4 2 _let_1 QUANTIFIERS_INST_CBQI_PROP)) :args _let_21))) _let_20 :args (_let_17 false _let_19)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_23 :args (4 QUANTIFIERS_INST_CBQI_PROP)) :args _let_22)) _let_23 :args (_let_16 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_20 :args (4 3 tptp.nil QUANTIFIERS_INST_FMF_FMC_EXH)) :args _let_21))) _let_20 :args (_let_15 false _let_19)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_20 :args (4 1 _let_2 QUANTIFIERS_INST_FMF_FMC_EXH)) :args _let_21))) _let_20 :args (_let_12 false _let_19)) :args (false false _let_18 false _let_17 false _let_16 false _let_15 false _let_12)) :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)))))) (= (tptp.length tptp.nil) 0) (forall ((H Int) (T tptp.list)) (= (tptp.length (tptp.cons H T)) (+ 1 (tptp.length T)))) _let_9 _let_8 (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)))) _let_7 _let_6 true)))))))))))))))))))))))))))))))))))))
% 0.75/0.94 )
% 0.75/0.94 % SZS output end Proof for DAT080_1
% 0.75/0.94 % cvc5---1.0.5 exiting
% 0.75/0.94 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------