0.03/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.03/0.13 % Command : do_cvc5 %s %d 0.12/0.34 % Computer : n010.cluster.edu 0.12/0.34 % Model : x86_64 x86_64 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.12/0.34 % Memory : 8042.1875MB 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64 0.12/0.34 % CPULimit : 960 0.12/0.34 % WCLimit : 120 0.12/0.34 % DateTime : Tue Aug 9 01:46:35 EDT 2022 0.12/0.34 % CPUTime : 0.19/0.47 %----Proving TF0_ARI 0.19/0.53 ------- cvc5-tfa casc j11 : /export/starexec/sandbox/benchmark/theBenchmark.p at /export/starexec/sandbox/benchmark/theBenchmark.p... 0.19/0.53 --- Run --finite-model-find --decision=internal at 15... 0.19/0.53 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... 0.19/0.53 % SZS status Theorem for theBenchmark 0.19/0.53 % SZS output start Proof for theBenchmark 0.19/0.53 (let ((_let_1 (forall ((X Real)) (=> (<= 0.0 X) (= (sqr (sqrt X)) X))))) (let ((_let_2 (forall ((X Real)) (= (sqr X) (* X X))))) (let ((_let_3 (sqrt 1.0))) (let ((_let_4 (= _let_3 1.0))) (let ((_let_5 (not _let_4))) (let ((_let_6 (forall ((X Real) (Y Real)) (=> (and (<= 0.0 Y) (<= 0.0 X)) (= (sqrt (* X Y)) (* (sqrt X) (sqrt Y))))))) (let ((_let_7 (* _let_3 _let_3))) (let ((_let_8 (= _let_3 _let_7))) (let ((_let_9 (sqr _let_3))) (let ((_let_10 (= _let_9 1.0))) (let ((_let_11 (= _let_9 _let_7))) (let ((_let_12 (ASSUME :args (_let_5)))) (let ((_let_13 (forall ((X Real) (Y Real)) (or (not (>= Y 0)) (not (>= X 0)) (= (sqrt (* X Y)) (* (sqrt X) (sqrt Y))))))) (let ((_let_14 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_15 (forall ((X Real)) (or (not (>= X 0)) (= X (sqr (sqrt X))))))) (let ((_let_16 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_17 (forall ((X Real)) (= (sqr X) (* X X))))) (let ((_let_18 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_19 (ASSUME :args (_let_10)))) (let ((_let_20 (ASSUME :args (_let_11)))) (let ((_let_21 (ASSUME :args (_let_8)))) (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_19 _let_20 _let_21 _let_12) :args (_let_5 _let_8 _let_10 _let_11)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO _let_12)) (TRUE_INTRO (TRANS (TRANS (SYMM (SYMM _let_21)) (SYMM _let_20)) (SYMM (SYMM _let_19)))))) :args (_let_10 _let_11 _let_8 _let_5)) :args ((not (and _let_5 _let_8 _let_10 _let_11)) SB_LITERAL))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_5) _let_4))) (REFL :args ((not _let_8))) (REFL :args ((not _let_10))) (REFL :args ((not _let_11))) :args (OR))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_18 :args (_let_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((sqr X)))) :args (_let_17))) _let_18 :args (_let_11 false _let_17)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_16 :args (1.0 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((sqrt X)))) :args (_let_15)))) _let_16 :args (_let_10 false _let_15)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_14 :args (1.0 1.0 QUANTIFIERS_INST_E_MATCHING ((sqrt X) (sqrt Y)))) :args (_let_13)))) _let_14 :args (_let_8 false _let_13)) _let_12 :args (false false _let_11 false _let_10 false _let_8 true _let_4)) :args ((= (sqrt 0.0) 0.0) (forall ((X Real)) (=> (<= 0.0 X) (= (sqrt (* X X)) X))) _let_6 _let_5 _let_2 (forall ((X Real) (Y Real)) (=> (and (<= X Y) (<= 0.0 X)) (<= (sqrt X) (sqrt Y)))) _let_1 (forall ((X Real)) (=> (<= 0.0 X) (<= 0.0 (sqrt X)))) true))))))))))))))))))))))) 0.19/0.53 % SZS output end Proof for theBenchmark 0.19/0.53 EOF