TSTP Solution File: RNG111+4 by cvc5---1.0.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : RNG111+4 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n014.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 : Thu Aug 31 13:50:07 EDT 2023
% Result : Theorem 24.27s 24.49s
% Output : Proof 24.27s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : RNG111+4 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.15/0.36 % Computer : n014.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Sun Aug 27 01:54:31 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.22/0.50 %----Proving TF0_NAR, FOF, or CNF
% 24.27/24.49 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.0wnGGAoekT/cvc5---1.0.5_23697.p...
% 24.27/24.49 ------- get file name : TPTP file name is RNG111+4
% 24.27/24.49 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_23697.smt2...
% 24.27/24.49 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 24.27/24.49 --- Run --no-e-matching --full-saturate-quant at 5...
% 24.27/24.49 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 24.27/24.49 --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 24.27/24.49 % SZS status Theorem for RNG111+4
% 24.27/24.49 % SZS output start Proof for RNG111+4
% 24.27/24.49 (
% 24.27/24.49 (let ((_let_1 (not (forall ((W0 $$unsorted)) (=> (and (exists ((W1 $$unsorted) (W2 $$unsorted)) (and (tptp.aElementOf0 W1 (tptp.slsdtgt0 tptp.xa)) (tptp.aElementOf0 W2 (tptp.slsdtgt0 tptp.xb)) (= (tptp.sdtpldt0 W1 W2) W0))) (tptp.aElementOf0 W0 tptp.xI) (not (= W0 tptp.sz00))) (=> (forall ((W1 $$unsorted)) (=> (and (or (exists ((W2 $$unsorted) (W3 $$unsorted)) (and (tptp.aElementOf0 W2 (tptp.slsdtgt0 tptp.xa)) (tptp.aElementOf0 W3 (tptp.slsdtgt0 tptp.xb)) (= (tptp.sdtpldt0 W2 W3) W1))) (tptp.aElementOf0 W1 tptp.xI)) (not (= W1 tptp.sz00))) (=> (tptp.iLess0 (tptp.sbrdtbr0 W1) (tptp.sbrdtbr0 W0)) (exists ((W2 $$unsorted)) (and (exists ((W3 $$unsorted) (W4 $$unsorted)) (and (tptp.aElementOf0 W3 (tptp.slsdtgt0 tptp.xa)) (tptp.aElementOf0 W4 (tptp.slsdtgt0 tptp.xb)) (= (tptp.sdtpldt0 W3 W4) W2))) (tptp.aElementOf0 W2 tptp.xI) (not (= W2 tptp.sz00)) (forall ((W3 $$unsorted)) (=> (and (or (exists ((W4 $$unsorted) (W5 $$unsorted)) (and (tptp.aElementOf0 W4 (tptp.slsdtgt0 tptp.xa)) (tptp.aElementOf0 W5 (tptp.slsdtgt0 tptp.xb)) (= (tptp.sdtpldt0 W4 W5) W3))) (tptp.aElementOf0 W3 tptp.xI)) (not (= W3 tptp.sz00))) (not (tptp.iLess0 (tptp.sbrdtbr0 W3) (tptp.sbrdtbr0 W2)))))))))) (exists ((W1 $$unsorted)) (and (or (exists ((W2 $$unsorted) (W3 $$unsorted)) (and (tptp.aElementOf0 W2 (tptp.slsdtgt0 tptp.xa)) (tptp.aElementOf0 W3 (tptp.slsdtgt0 tptp.xb)) (= (tptp.sdtpldt0 W2 W3) W1))) (tptp.aElementOf0 W1 tptp.xI)) (not (= W1 tptp.sz00)) (forall ((W2 $$unsorted)) (=> (and (exists ((W3 $$unsorted) (W4 $$unsorted)) (and (tptp.aElementOf0 W3 (tptp.slsdtgt0 tptp.xa)) (tptp.aElementOf0 W4 (tptp.slsdtgt0 tptp.xb)) (= (tptp.sdtpldt0 W3 W4) W2))) (tptp.aElementOf0 W2 tptp.xI) (not (= W2 tptp.sz00))) (not (tptp.iLess0 (tptp.sbrdtbr0 W2) (tptp.sbrdtbr0 W1))))))))))))) (let ((_let_2 (tptp.slsdtgt0 tptp.xb))) (let ((_let_3 (tptp.aElementOf0 tptp.sz00 _let_2))) (let ((_let_4 (tptp.slsdtgt0 tptp.xa))) (let ((_let_5 (tptp.aElementOf0 tptp.sz00 _let_4))) (let ((_let_6 (tptp.sdtpldt1 _let_4 _let_2))) (let ((_let_7 (and (tptp.aSet0 tptp.xI) (forall ((W0 $$unsorted)) (=> (tptp.aElementOf0 W0 tptp.xI) (and (forall ((W1 $$unsorted)) (=> (tptp.aElementOf0 W1 tptp.xI) (tptp.aElementOf0 (tptp.sdtpldt0 W0 W1) tptp.xI))) (forall ((W1 $$unsorted)) (=> (tptp.aElement0 W1) (tptp.aElementOf0 (tptp.sdtasdt0 W1 W0) tptp.xI)))))) (tptp.aIdeal0 tptp.xI) (forall ((W0 $$unsorted)) (= (tptp.aElementOf0 W0 (tptp.slsdtgt0 tptp.xa)) (exists ((W1 $$unsorted)) (and (tptp.aElement0 W1) (= (tptp.sdtasdt0 tptp.xa W1) W0))))) (forall ((W0 $$unsorted)) (= (tptp.aElementOf0 W0 (tptp.slsdtgt0 tptp.xb)) (exists ((W1 $$unsorted)) (and (tptp.aElement0 W1) (= (tptp.sdtasdt0 tptp.xb W1) W0))))) (forall ((W0 $$unsorted)) (= (tptp.aElementOf0 W0 tptp.xI) (exists ((W1 $$unsorted) (W2 $$unsorted)) (and (tptp.aElementOf0 W1 (tptp.slsdtgt0 tptp.xa)) (tptp.aElementOf0 W2 (tptp.slsdtgt0 tptp.xb)) (= (tptp.sdtpldt0 W1 W2) W0))))) (= tptp.xI _let_6)))) (let ((_let_8 (tptp.aElement0 tptp.xc))) (let ((_let_9 (tptp.sdtpldt0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_95 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_94))) (let ((_let_10 (= tptp.sz00 _let_9))) (let ((_let_11 (tptp.sdtpldt0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11))) (let ((_let_12 (tptp.iLess0 (tptp.sbrdtbr0 _let_9) (tptp.sbrdtbr0 _let_11)))) (let ((_let_13 (not _let_12))) (let ((_let_14 (tptp.aElementOf0 _let_9 _let_6))) (let ((_let_15 (not _let_14))) (let ((_let_16 (tptp.sdtpldt0 tptp.sz00 tptp.sz00))) (let ((_let_17 (not _let_3))) (let ((_let_18 (not _let_5))) (let ((_let_19 (and (or _let_18 _let_17 (not (= _let_16 _let_9))) _let_15))) (let ((_let_20 (or _let_19 _let_10 _let_13))) (let ((_let_21 (or _let_15 _let_10 _let_13 (not (tptp.aElementOf0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_95 _let_4)) (not (tptp.aElementOf0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_94 _let_2))))) (let ((_let_22 (forall ((BOUND_VARIABLE_2452 $$unsorted) (BOUND_VARIABLE_2450 $$unsorted)) (let ((_let_1 (tptp.slsdtgt0 tptp.xb))) (let ((_let_2 (tptp.slsdtgt0 tptp.xa))) (let ((_let_3 (tptp.sdtpldt0 BOUND_VARIABLE_2450 BOUND_VARIABLE_2452))) (or (not (tptp.aElementOf0 _let_3 (tptp.sdtpldt1 _let_2 _let_1))) (= tptp.sz00 _let_3) (not (tptp.iLess0 (tptp.sbrdtbr0 _let_3) (tptp.sbrdtbr0 (tptp.sdtpldt0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11)))) (not (tptp.aElementOf0 BOUND_VARIABLE_2450 _let_2)) (not (tptp.aElementOf0 BOUND_VARIABLE_2452 _let_1))))))))) (let ((_let_23 (not _let_21))) (let ((_let_24 (not _let_22))) (let ((_let_25 (= tptp.sz00 _let_11))) (let ((_let_26 (tptp.aElementOf0 _let_11 _let_6))) (let ((_let_27 (not _let_26))) (let ((_let_28 (and (or _let_18 _let_17 (not (= _let_11 _let_16))) _let_27))) (let ((_let_29 (or _let_28 _let_25 _let_24))) (let ((_let_30 (forall ((W1 $$unsorted) (BOUND_VARIABLE_2494 $$unsorted) (BOUND_VARIABLE_2492 $$unsorted)) (let ((_let_1 (tptp.slsdtgt0 tptp.xb))) (let ((_let_2 (tptp.slsdtgt0 tptp.xa))) (or (and (or (not (tptp.aElementOf0 BOUND_VARIABLE_2492 _let_2)) (not (tptp.aElementOf0 BOUND_VARIABLE_2494 _let_1)) (not (= W1 (tptp.sdtpldt0 BOUND_VARIABLE_2492 BOUND_VARIABLE_2494)))) (not (tptp.aElementOf0 W1 (tptp.sdtpldt1 _let_2 _let_1)))) (= tptp.sz00 W1) (not (forall ((BOUND_VARIABLE_2452 $$unsorted) (BOUND_VARIABLE_2450 $$unsorted)) (let ((_let_1 (tptp.slsdtgt0 tptp.xb))) (let ((_let_2 (tptp.slsdtgt0 tptp.xa))) (let ((_let_3 (tptp.sdtpldt0 BOUND_VARIABLE_2450 BOUND_VARIABLE_2452))) (or (not (tptp.aElementOf0 _let_3 (tptp.sdtpldt1 _let_2 _let_1))) (= tptp.sz00 _let_3) (not (tptp.iLess0 (tptp.sbrdtbr0 _let_3) (tptp.sbrdtbr0 W1))) (not (tptp.aElementOf0 BOUND_VARIABLE_2450 _let_2)) (not (tptp.aElementOf0 BOUND_VARIABLE_2452 _let_1)))))))))))))) (let ((_let_31 (EQ_RESOLVE (ASSUME :args (_let_1)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT)) (MACRO_SR_EQ_INTRO (AND_ELIM (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))) :args (6)) :args ((not (or (not (forall ((W1 $$unsorted) (BOUND_VARIABLE_2494 $$unsorted) (BOUND_VARIABLE_2492 $$unsorted)) (or (and (or (not (tptp.aElementOf0 BOUND_VARIABLE_2492 (tptp.slsdtgt0 tptp.xa))) (not (tptp.aElementOf0 BOUND_VARIABLE_2494 (tptp.slsdtgt0 tptp.xb))) (not (= W1 (tptp.sdtpldt0 BOUND_VARIABLE_2492 BOUND_VARIABLE_2494)))) (not (tptp.aElementOf0 W1 tptp.xI))) (= tptp.sz00 W1) (not (forall ((BOUND_VARIABLE_2452 $$unsorted) (BOUND_VARIABLE_2450 $$unsorted)) (let ((_let_1 (tptp.sdtpldt0 BOUND_VARIABLE_2450 BOUND_VARIABLE_2452))) (or (not (tptp.aElementOf0 _let_1 tptp.xI)) (= tptp.sz00 _let_1) (not (tptp.iLess0 (tptp.sbrdtbr0 _let_1) (tptp.sbrdtbr0 W1))) (not (tptp.aElementOf0 BOUND_VARIABLE_2450 (tptp.slsdtgt0 tptp.xa))) (not (tptp.aElementOf0 BOUND_VARIABLE_2452 (tptp.slsdtgt0 tptp.xb)))))))))) (forall ((BOUND_VARIABLE_2538 $$unsorted) (BOUND_VARIABLE_2536 $$unsorted) (BOUND_VARIABLE_2526 $$unsorted) (BOUND_VARIABLE_2524 $$unsorted)) (let ((_let_1 (tptp.slsdtgt0 tptp.xb))) (let ((_let_2 (tptp.slsdtgt0 tptp.xa))) (let ((_let_3 (tptp.sdtpldt0 BOUND_VARIABLE_2538 BOUND_VARIABLE_2536))) (let ((_let_4 (tptp.sdtpldt0 BOUND_VARIABLE_2524 BOUND_VARIABLE_2526))) (or (not (tptp.aElementOf0 _let_4 tptp.xI)) (= tptp.sz00 _let_4) (and (or (not (tptp.aElementOf0 _let_3 tptp.xI)) (= tptp.sz00 _let_3) (not (forall ((W3 $$unsorted) (BOUND_VARIABLE_2323 $$unsorted) (BOUND_VARIABLE_2321 $$unsorted)) (or (and (or (not (tptp.aElementOf0 BOUND_VARIABLE_2321 (tptp.slsdtgt0 tptp.xa))) (not (tptp.aElementOf0 BOUND_VARIABLE_2323 (tptp.slsdtgt0 tptp.xb))) (not (= W3 (tptp.sdtpldt0 BOUND_VARIABLE_2321 BOUND_VARIABLE_2323)))) (not (tptp.aElementOf0 W3 tptp.xI))) (= tptp.sz00 W3) (not (tptp.iLess0 (tptp.sbrdtbr0 W3) (tptp.sbrdtbr0 (tptp.sdtpldt0 BOUND_VARIABLE_2538 BOUND_VARIABLE_2536))))))) (not (tptp.aElementOf0 BOUND_VARIABLE_2538 _let_2)) (not (tptp.aElementOf0 BOUND_VARIABLE_2536 _let_1))) (not (forall ((W1 $$unsorted) (BOUND_VARIABLE_2398 $$unsorted) (BOUND_VARIABLE_2396 $$unsorted)) (or (and (or (not (tptp.aElementOf0 BOUND_VARIABLE_2396 (tptp.slsdtgt0 tptp.xa))) (not (tptp.aElementOf0 BOUND_VARIABLE_2398 (tptp.slsdtgt0 tptp.xb))) (not (= W1 (tptp.sdtpldt0 BOUND_VARIABLE_2396 BOUND_VARIABLE_2398)))) (not (tptp.aElementOf0 W1 tptp.xI))) (= tptp.sz00 W1) (not (tptp.iLess0 (tptp.sbrdtbr0 W1) (tptp.sbrdtbr0 (tptp.sdtpldt0 BOUND_VARIABLE_2524 BOUND_VARIABLE_2526)))))))) (not (tptp.aElementOf0 BOUND_VARIABLE_2524 _let_2)) (not (tptp.aElementOf0 BOUND_VARIABLE_2526 _let_1)))))))))) SB_DEFAULT SBA_FIXPOINT)))))) (let ((_let_32 (NOT_NOT_ELIM (NOT_OR_ELIM _let_31 :args (0))))) (let ((_let_33 (_let_30))) (let ((_let_34 (ASSUME :args _let_33))) (let ((_let_35 (not _let_28))) (let ((_let_36 (forall ((W3 $$unsorted) (BOUND_VARIABLE_2323 $$unsorted) (BOUND_VARIABLE_2321 $$unsorted)) (let ((_let_1 (tptp.slsdtgt0 tptp.xb))) (let ((_let_2 (tptp.slsdtgt0 tptp.xa))) (or (and (or (not (tptp.aElementOf0 BOUND_VARIABLE_2321 _let_2)) (not (tptp.aElementOf0 BOUND_VARIABLE_2323 _let_1)) (not (= W3 (tptp.sdtpldt0 BOUND_VARIABLE_2321 BOUND_VARIABLE_2323)))) (not (tptp.aElementOf0 W3 (tptp.sdtpldt1 _let_2 _let_1)))) (= tptp.sz00 W3) (not (tptp.iLess0 (tptp.sbrdtbr0 W3) (tptp.sbrdtbr0 (tptp.sdtpldt0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11)))))))))) (let ((_let_37 (not _let_36))) (let ((_let_38 (or _let_27 _let_25 _let_37 (not (tptp.aElementOf0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 _let_4)) (not (tptp.aElementOf0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 _let_2))))) (let ((_let_39 (forall ((W1 $$unsorted) (BOUND_VARIABLE_2398 $$unsorted) (BOUND_VARIABLE_2396 $$unsorted)) (let ((_let_1 (tptp.slsdtgt0 tptp.xb))) (let ((_let_2 (tptp.slsdtgt0 tptp.xa))) (or (and (or (not (tptp.aElementOf0 BOUND_VARIABLE_2396 _let_2)) (not (tptp.aElementOf0 BOUND_VARIABLE_2398 _let_1)) (not (= W1 (tptp.sdtpldt0 BOUND_VARIABLE_2396 BOUND_VARIABLE_2398)))) (not (tptp.aElementOf0 W1 (tptp.sdtpldt1 _let_2 _let_1)))) (= tptp.sz00 W1) (not (tptp.iLess0 (tptp.sbrdtbr0 W1) (tptp.sbrdtbr0 (tptp.sdtpldt0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12)))))))))) (let ((_let_40 (not _let_39))) (let ((_let_41 (and _let_38 _let_40))) (let ((_let_42 (not _let_38))) (let ((_let_43 (tptp.sdtpldt0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12))) (let ((_let_44 (= tptp.sz00 _let_43))) (let ((_let_45 (tptp.aElementOf0 _let_43 _let_6))) (let ((_let_46 (not _let_45))) (let ((_let_47 (or _let_46 _let_44 _let_41 (not (tptp.aElementOf0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13 _let_4)) (not (tptp.aElementOf0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 _let_2))))) (let ((_let_48 (forall ((BOUND_VARIABLE_2538 $$unsorted) (BOUND_VARIABLE_2536 $$unsorted) (BOUND_VARIABLE_2526 $$unsorted) (BOUND_VARIABLE_2524 $$unsorted)) (let ((_let_1 (tptp.slsdtgt0 tptp.xb))) (let ((_let_2 (tptp.slsdtgt0 tptp.xa))) (let ((_let_3 (tptp.sdtpldt0 BOUND_VARIABLE_2538 BOUND_VARIABLE_2536))) (let ((_let_4 (tptp.sdtpldt1 _let_2 _let_1))) (let ((_let_5 (tptp.sdtpldt0 BOUND_VARIABLE_2524 BOUND_VARIABLE_2526))) (or (not (tptp.aElementOf0 _let_5 _let_4)) (= tptp.sz00 _let_5) (and (or (not (tptp.aElementOf0 _let_3 _let_4)) (= tptp.sz00 _let_3) (not (forall ((W3 $$unsorted) (BOUND_VARIABLE_2323 $$unsorted) (BOUND_VARIABLE_2321 $$unsorted)) (let ((_let_1 (tptp.slsdtgt0 tptp.xb))) (let ((_let_2 (tptp.slsdtgt0 tptp.xa))) (or (and (or (not (tptp.aElementOf0 BOUND_VARIABLE_2321 _let_2)) (not (tptp.aElementOf0 BOUND_VARIABLE_2323 _let_1)) (not (= W3 (tptp.sdtpldt0 BOUND_VARIABLE_2321 BOUND_VARIABLE_2323)))) (not (tptp.aElementOf0 W3 (tptp.sdtpldt1 _let_2 _let_1)))) (= tptp.sz00 W3) (not (tptp.iLess0 (tptp.sbrdtbr0 W3) (tptp.sbrdtbr0 (tptp.sdtpldt0 BOUND_VARIABLE_2538 BOUND_VARIABLE_2536))))))))) (not (tptp.aElementOf0 BOUND_VARIABLE_2538 _let_2)) (not (tptp.aElementOf0 BOUND_VARIABLE_2536 _let_1))) (not (forall ((W1 $$unsorted) (BOUND_VARIABLE_2398 $$unsorted) (BOUND_VARIABLE_2396 $$unsorted)) (let ((_let_1 (tptp.slsdtgt0 tptp.xb))) (let ((_let_2 (tptp.slsdtgt0 tptp.xa))) (or (and (or (not (tptp.aElementOf0 BOUND_VARIABLE_2396 _let_2)) (not (tptp.aElementOf0 BOUND_VARIABLE_2398 _let_1)) (not (= W1 (tptp.sdtpldt0 BOUND_VARIABLE_2396 BOUND_VARIABLE_2398)))) (not (tptp.aElementOf0 W1 (tptp.sdtpldt1 _let_2 _let_1)))) (= tptp.sz00 W1) (not (tptp.iLess0 (tptp.sbrdtbr0 W1) (tptp.sbrdtbr0 (tptp.sdtpldt0 BOUND_VARIABLE_2524 BOUND_VARIABLE_2526)))))))))) (not (tptp.aElementOf0 BOUND_VARIABLE_2524 _let_2)) (not (tptp.aElementOf0 BOUND_VARIABLE_2526 _let_1))))))))))) (let ((_let_49 (not _let_47))) (let ((_let_50 (or))) (let ((_let_51 (not _let_48))) (let ((_let_52 (_let_51))) (let ((_let_53 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_52)) :args _let_52)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_51) _let_48))) (REFL :args (_let_49)) :args _let_50)) (NOT_OR_ELIM _let_31 :args (1)) :args (_let_49 true _let_48)))) (let ((_let_54 (tptp.sdtpldt0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_214 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_213))) (let ((_let_55 (tptp.iLess0 (tptp.sbrdtbr0 _let_54) (tptp.sbrdtbr0 _let_43)))) (let ((_let_56 (not _let_55))) (let ((_let_57 (= tptp.sz00 _let_54))) (let ((_let_58 (tptp.aElementOf0 _let_54 _let_6))) (let ((_let_59 (not _let_58))) (let ((_let_60 (and (or _let_18 _let_17 (not (= _let_16 _let_54))) _let_59))) (let ((_let_61 (or _let_60 _let_57 _let_56))) (let ((_let_62 (not _let_61))) (let ((_let_63 (not _let_60))) (let ((_let_64 (or _let_59 _let_57 _let_56 (not (tptp.aElementOf0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_214 _let_4)) (not (tptp.aElementOf0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_213 _let_2))))) (let ((_let_65 (forall ((BOUND_VARIABLE_2452 $$unsorted) (BOUND_VARIABLE_2450 $$unsorted)) (let ((_let_1 (tptp.slsdtgt0 tptp.xb))) (let ((_let_2 (tptp.slsdtgt0 tptp.xa))) (let ((_let_3 (tptp.sdtpldt0 BOUND_VARIABLE_2450 BOUND_VARIABLE_2452))) (or (not (tptp.aElementOf0 _let_3 (tptp.sdtpldt1 _let_2 _let_1))) (= tptp.sz00 _let_3) (not (tptp.iLess0 (tptp.sbrdtbr0 _let_3) (tptp.sbrdtbr0 (tptp.sdtpldt0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12)))) (not (tptp.aElementOf0 BOUND_VARIABLE_2450 _let_2)) (not (tptp.aElementOf0 BOUND_VARIABLE_2452 _let_1))))))))) (let ((_let_66 (not _let_64))) (let ((_let_67 (not _let_65))) (let ((_let_68 (and (or _let_18 _let_17 (not (= _let_43 _let_16))) _let_46))) (let ((_let_69 (or _let_68 _let_44 _let_67))) (let ((_let_70 (not _let_68))) (let ((_let_71 (_let_67))) (let ((_let_72 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_71)) :args _let_71)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_67) _let_65))) (REFL :args (_let_66)) :args _let_50)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_69)) :args ((or _let_44 _let_68 _let_67 (not _let_69)))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_47 1)) _let_53 :args ((not _let_44) true _let_47)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_68 1)) :args ((or _let_46 _let_70))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_47 0)) (CONG (REFL :args (_let_47)) (MACRO_SR_PRED_INTRO :args ((= (not _let_46) _let_45))) :args _let_50)) :args ((or _let_45 _let_47))) _let_53 :args (_let_45 true _let_47)) :args (_let_70 false _let_45)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_34 :args (_let_43 tptp.sz00 tptp.sz00 QUANTIFIERS_INST_FMF_FMC_EXH)) :args _let_33)) _let_32 :args (_let_69 false _let_30)) :args (_let_67 true _let_44 true _let_68 false _let_69)) :args (_let_66 true _let_65)))) (let ((_let_73 (REFL :args (_let_64)))) (let ((_let_74 (_let_39))) (let ((_let_75 (_let_41))) (let ((_let_76 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_AND_NEG :args _let_75) (CONG (REFL :args _let_75) (REFL :args (_let_42)) (MACRO_SR_PRED_INTRO :args ((= (not _let_40) _let_39))) :args _let_50)) :args ((or _let_39 _let_41 _let_42))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_74) :args (_let_54 tptp.sz00 tptp.sz00 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_74))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_61)) :args ((or _let_57 _let_56 _let_60 _let_62))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_64 1)) _let_72 :args ((not _let_57) true _let_64)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_64 2)) (CONG _let_73 (MACRO_SR_PRED_INTRO :args ((= (not _let_56) _let_55))) :args _let_50)) :args ((or _let_55 _let_64))) _let_72 :args (_let_55 true _let_64)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_60 1)) :args ((or _let_59 _let_63))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_64 0)) (CONG _let_73 (MACRO_SR_PRED_INTRO :args ((= (not _let_59) _let_58))) :args _let_50)) :args ((or _let_58 _let_64))) _let_72 :args (_let_58 true _let_64)) :args (_let_63 false _let_58)) :args (_let_62 true _let_57 false _let_55 true _let_60)) :args (_let_40 true _let_61)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_47 2)) _let_53 :args ((not _let_41) true _let_47)) :args (_let_42 true _let_39 true _let_41)))) (let ((_let_77 (REFL :args (_let_38)))) (let ((_let_78 (_let_24))) (let ((_let_79 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_78)) :args _let_78)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_24) _let_22))) (REFL :args (_let_23)) :args _let_50)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_29)) :args ((or _let_25 _let_28 _let_24 (not _let_29)))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_38 1)) _let_76 :args ((not _let_25) true _let_38)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_28 1)) :args ((or _let_27 _let_35))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_38 0)) (CONG _let_77 (MACRO_SR_PRED_INTRO :args ((= (not _let_27) _let_26))) :args _let_50)) :args ((or _let_26 _let_38))) _let_76 :args (_let_26 true _let_38)) :args (_let_35 false _let_26)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_34 :args (_let_11 tptp.sz00 tptp.sz00 QUANTIFIERS_INST_FMF_FMC_EXH)) :args _let_33)) _let_32 :args (_let_29 false _let_30)) :args (_let_24 true _let_25 true _let_28 false _let_29)) :args (_let_23 true _let_22)))) (let ((_let_80 (_let_36))) (let ((_let_81 (REFL :args (_let_21)))) (let ((_let_82 (not _let_19))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_20)) :args ((or _let_10 _let_13 _let_19 (not _let_20)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_19 1)) :args ((or _let_15 _let_82))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_21 0)) (CONG _let_81 (MACRO_SR_PRED_INTRO :args ((= (not _let_15) _let_14))) :args _let_50)) :args ((or _let_14 _let_21))) _let_79 :args (_let_14 true _let_21)) :args (_let_82 false _let_14)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_21 2)) (CONG _let_81 (MACRO_SR_PRED_INTRO :args ((= (not _let_13) _let_12))) :args _let_50)) :args ((or _let_12 _let_21))) _let_79 :args (_let_12 true _let_21)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_80) :args (_let_9 tptp.sz00 tptp.sz00 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_80))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_38 2)) (CONG _let_77 (MACRO_SR_PRED_INTRO :args ((= (not _let_37) _let_36))) :args _let_50)) :args ((or _let_36 _let_38))) _let_76 :args (_let_36 true _let_38)) :args (_let_20 false _let_36)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_21 1)) _let_79 :args ((not _let_10) true _let_21)) :args (false true _let_19 false _let_12 false _let_20 true _let_10)) :args ((forall ((W0 $$unsorted)) (=> (tptp.aElement0 W0) true)) (tptp.aElement0 tptp.sz00) (tptp.aElement0 tptp.sz10) (forall ((W0 $$unsorted)) (=> (tptp.aElement0 W0) (tptp.aElement0 (tptp.smndt0 W0)))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aElement0 W0) (tptp.aElement0 W1)) (tptp.aElement0 (tptp.sdtpldt0 W0 W1)))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aElement0 W0) (tptp.aElement0 W1)) (tptp.aElement0 (tptp.sdtasdt0 W0 W1)))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aElement0 W0) (tptp.aElement0 W1)) (= (tptp.sdtpldt0 W0 W1) (tptp.sdtpldt0 W1 W0)))) (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (=> (and (tptp.aElement0 W0) (tptp.aElement0 W1) (tptp.aElement0 W2)) (= (tptp.sdtpldt0 (tptp.sdtpldt0 W0 W1) W2) (tptp.sdtpldt0 W0 (tptp.sdtpldt0 W1 W2))))) (forall ((W0 $$unsorted)) (=> (tptp.aElement0 W0) (and (= (tptp.sdtpldt0 W0 tptp.sz00) W0) (= W0 (tptp.sdtpldt0 tptp.sz00 W0))))) (forall ((W0 $$unsorted)) (let ((_let_1 (tptp.smndt0 W0))) (=> (tptp.aElement0 W0) (and (= (tptp.sdtpldt0 W0 _let_1) tptp.sz00) (= tptp.sz00 (tptp.sdtpldt0 _let_1 W0)))))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aElement0 W0) (tptp.aElement0 W1)) (= (tptp.sdtasdt0 W0 W1) (tptp.sdtasdt0 W1 W0)))) (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (=> (and (tptp.aElement0 W0) (tptp.aElement0 W1) (tptp.aElement0 W2)) (= (tptp.sdtasdt0 (tptp.sdtasdt0 W0 W1) W2) (tptp.sdtasdt0 W0 (tptp.sdtasdt0 W1 W2))))) (forall ((W0 $$unsorted)) (=> (tptp.aElement0 W0) (and (= (tptp.sdtasdt0 W0 tptp.sz10) W0) (= W0 (tptp.sdtasdt0 tptp.sz10 W0))))) (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (let ((_let_1 (tptp.sdtpldt0 W1 W2))) (=> (and (tptp.aElement0 W0) (tptp.aElement0 W1) (tptp.aElement0 W2)) (and (= (tptp.sdtasdt0 W0 _let_1) (tptp.sdtpldt0 (tptp.sdtasdt0 W0 W1) (tptp.sdtasdt0 W0 W2))) (= (tptp.sdtasdt0 _let_1 W0) (tptp.sdtpldt0 (tptp.sdtasdt0 W1 W0) (tptp.sdtasdt0 W2 W0))))))) (forall ((W0 $$unsorted)) (let ((_let_1 (tptp.smndt0 tptp.sz10))) (let ((_let_2 (tptp.smndt0 W0))) (=> (tptp.aElement0 W0) (and (= (tptp.sdtasdt0 _let_1 W0) _let_2) (= _let_2 (tptp.sdtasdt0 W0 _let_1))))))) (forall ((W0 $$unsorted)) (=> (tptp.aElement0 W0) (and (= (tptp.sdtasdt0 W0 tptp.sz00) tptp.sz00) (= tptp.sz00 (tptp.sdtasdt0 tptp.sz00 W0))))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aElement0 W0) (tptp.aElement0 W1)) (=> (= (tptp.sdtasdt0 W0 W1) tptp.sz00) (or (= W0 tptp.sz00) (= W1 tptp.sz00))))) (not (= tptp.sz10 tptp.sz00)) (forall ((W0 $$unsorted)) (=> (tptp.aSet0 W0) true)) (forall ((W0 $$unsorted)) (=> (tptp.aSet0 W0) (forall ((W1 $$unsorted)) (=> (tptp.aElementOf0 W1 W0) (tptp.aElement0 W1))))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aSet0 W0) (tptp.aSet0 W1)) (=> (and (forall ((W2 $$unsorted)) (=> (tptp.aElementOf0 W2 W0) (tptp.aElementOf0 W2 W1))) (forall ((W2 $$unsorted)) (=> (tptp.aElementOf0 W2 W1) (tptp.aElementOf0 W2 W0)))) (= W0 W1)))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aSet0 W0) (tptp.aSet0 W1)) (forall ((W2 $$unsorted)) (= (= W2 (tptp.sdtpldt1 W0 W1)) (and (tptp.aSet0 W2) (forall ((W3 $$unsorted)) (= (tptp.aElementOf0 W3 W2) (exists ((W4 $$unsorted) (W5 $$unsorted)) (and (tptp.aElementOf0 W4 W0) (tptp.aElementOf0 W5 W1) (= (tptp.sdtpldt0 W4 W5) W3)))))))))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aSet0 W0) (tptp.aSet0 W1)) (forall ((W2 $$unsorted)) (= (= W2 (tptp.sdtasasdt0 W0 W1)) (and (tptp.aSet0 W2) (forall ((W3 $$unsorted)) (= (tptp.aElementOf0 W3 W2) (and (tptp.aElementOf0 W3 W0) (tptp.aElementOf0 W3 W1))))))))) (forall ((W0 $$unsorted)) (= (tptp.aIdeal0 W0) (and (tptp.aSet0 W0) (forall ((W1 $$unsorted)) (=> (tptp.aElementOf0 W1 W0) (and (forall ((W2 $$unsorted)) (=> (tptp.aElementOf0 W2 W0) (tptp.aElementOf0 (tptp.sdtpldt0 W1 W2) W0))) (forall ((W2 $$unsorted)) (=> (tptp.aElement0 W2) (tptp.aElementOf0 (tptp.sdtasdt0 W2 W1) W0))))))))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aIdeal0 W0) (tptp.aIdeal0 W1)) (tptp.aIdeal0 (tptp.sdtpldt1 W0 W1)))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aIdeal0 W0) (tptp.aIdeal0 W1)) (tptp.aIdeal0 (tptp.sdtasasdt0 W0 W1)))) (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (=> (and (tptp.aElement0 W0) (tptp.aElement0 W1) (tptp.aIdeal0 W2)) (= (tptp.sdteqdtlpzmzozddtrp0 W0 W1 W2) (tptp.aElementOf0 (tptp.sdtpldt0 W0 (tptp.smndt0 W1)) W2)))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aIdeal0 W0) (tptp.aIdeal0 W1)) (=> (forall ((W2 $$unsorted)) (=> (tptp.aElement0 W2) (tptp.aElementOf0 W2 (tptp.sdtpldt1 W0 W1)))) (forall ((W2 $$unsorted) (W3 $$unsorted)) (=> (and (tptp.aElement0 W2) (tptp.aElement0 W3)) (exists ((W4 $$unsorted)) (and (tptp.aElement0 W4) (tptp.sdteqdtlpzmzozddtrp0 W4 W2 W0) (tptp.sdteqdtlpzmzozddtrp0 W4 W3 W1)))))))) (forall ((W0 $$unsorted)) (=> (tptp.aNaturalNumber0 W0) true)) (forall ((W0 $$unsorted)) (=> (and (tptp.aElement0 W0) (not (= W0 tptp.sz00))) (tptp.aNaturalNumber0 (tptp.sbrdtbr0 W0)))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1)) (=> (tptp.iLess0 W0 W1) true))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aElement0 W0) (tptp.aElement0 W1) (not (= W1 tptp.sz00))) (exists ((W2 $$unsorted) (W3 $$unsorted)) (and (tptp.aElement0 W2) (tptp.aElement0 W3) (= W0 (tptp.sdtpldt0 (tptp.sdtasdt0 W2 W1) W3)) (=> (not (= W3 tptp.sz00)) (tptp.iLess0 (tptp.sbrdtbr0 W3) (tptp.sbrdtbr0 W1))))))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aElement0 W0) (tptp.aElement0 W1)) (= (tptp.doDivides0 W0 W1) (exists ((W2 $$unsorted)) (and (tptp.aElement0 W2) (= (tptp.sdtasdt0 W0 W2) W1)))))) (forall ((W0 $$unsorted)) (=> (tptp.aElement0 W0) (forall ((W1 $$unsorted)) (= (tptp.aDivisorOf0 W1 W0) (and (tptp.aElement0 W1) (tptp.doDivides0 W1 W0)))))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aElement0 W0) (tptp.aElement0 W1)) (forall ((W2 $$unsorted)) (= (tptp.aGcdOfAnd0 W2 W0 W1) (and (tptp.aDivisorOf0 W2 W0) (tptp.aDivisorOf0 W2 W1) (forall ((W3 $$unsorted)) (=> (and (tptp.aDivisorOf0 W3 W0) (tptp.aDivisorOf0 W3 W1)) (tptp.doDivides0 W3 W2)))))))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aElement0 W0) (tptp.aElement0 W1)) (= (tptp.misRelativelyPrime0 W0 W1) (tptp.aGcdOfAnd0 tptp.sz10 W0 W1)))) (forall ((W0 $$unsorted)) (=> (tptp.aElement0 W0) (forall ((W1 $$unsorted)) (= (= W1 (tptp.slsdtgt0 W0)) (and (tptp.aSet0 W1) (forall ((W2 $$unsorted)) (= (tptp.aElementOf0 W2 W1) (exists ((W3 $$unsorted)) (and (tptp.aElement0 W3) (= (tptp.sdtasdt0 W0 W3) W2)))))))))) (forall ((W0 $$unsorted)) (=> (tptp.aElement0 W0) (tptp.aIdeal0 (tptp.slsdtgt0 W0)))) (and (tptp.aElement0 tptp.xa) (tptp.aElement0 tptp.xb)) (or (not (= tptp.xa tptp.sz00)) (not (= tptp.xb tptp.sz00))) (and _let_8 (exists ((W0 $$unsorted)) (and (tptp.aElement0 W0) (= (tptp.sdtasdt0 tptp.xc W0) tptp.xa))) (tptp.doDivides0 tptp.xc tptp.xa) (tptp.aDivisorOf0 tptp.xc tptp.xa) _let_8 (exists ((W0 $$unsorted)) (and (tptp.aElement0 W0) (= (tptp.sdtasdt0 tptp.xc W0) tptp.xb))) (tptp.doDivides0 tptp.xc tptp.xb) (tptp.aDivisorOf0 tptp.xc tptp.xb) (forall ((W0 $$unsorted)) (=> (and (or (and (tptp.aElement0 W0) (or (exists ((W1 $$unsorted)) (and (tptp.aElement0 W1) (= (tptp.sdtasdt0 W0 W1) tptp.xa))) (tptp.doDivides0 W0 tptp.xa))) (tptp.aDivisorOf0 W0 tptp.xa)) (or (exists ((W1 $$unsorted)) (and (tptp.aElement0 W1) (= (tptp.sdtasdt0 W0 W1) tptp.xb))) (tptp.doDivides0 W0 tptp.xb) (tptp.aDivisorOf0 W0 tptp.xb))) (and (exists ((W1 $$unsorted)) (and (tptp.aElement0 W1) (= (tptp.sdtasdt0 W0 W1) tptp.xc))) (tptp.doDivides0 W0 tptp.xc)))) (tptp.aGcdOfAnd0 tptp.xc tptp.xa tptp.xb)) _let_7 (and (exists ((W0 $$unsorted)) (and (tptp.aElement0 W0) (= (tptp.sdtasdt0 tptp.xa W0) tptp.sz00))) _let_5 (exists ((W0 $$unsorted)) (and (tptp.aElement0 W0) (= (tptp.sdtasdt0 tptp.xa W0) tptp.xa))) (tptp.aElementOf0 tptp.xa _let_4) (exists ((W0 $$unsorted)) (and (tptp.aElement0 W0) (= (tptp.sdtasdt0 tptp.xb W0) tptp.sz00))) _let_3 (exists ((W0 $$unsorted)) (and (tptp.aElement0 W0) (= (tptp.sdtasdt0 tptp.xb W0) tptp.xb))) (tptp.aElementOf0 tptp.xb _let_2)) (exists ((W0 $$unsorted)) (and (forall ((W1 $$unsorted)) (= (tptp.aElementOf0 W1 (tptp.slsdtgt0 tptp.xa)) (exists ((W2 $$unsorted)) (and (tptp.aElement0 W2) (= (tptp.sdtasdt0 tptp.xa W2) W1))))) (forall ((W1 $$unsorted)) (= (tptp.aElementOf0 W1 (tptp.slsdtgt0 tptp.xb)) (exists ((W2 $$unsorted)) (and (tptp.aElement0 W2) (= (tptp.sdtasdt0 tptp.xb W2) W1))))) (exists ((W1 $$unsorted) (W2 $$unsorted)) (and (tptp.aElementOf0 W1 (tptp.slsdtgt0 tptp.xa)) (tptp.aElementOf0 W2 (tptp.slsdtgt0 tptp.xb)) (= (tptp.sdtpldt0 W1 W2) W0))) (tptp.aElementOf0 W0 (tptp.sdtpldt1 (tptp.slsdtgt0 tptp.xa) (tptp.slsdtgt0 tptp.xb))) (not (= W0 tptp.sz00)))) _let_1 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 24.27/24.50 )
% 24.27/24.50 % SZS output end Proof for RNG111+4
% 24.27/24.50 % cvc5---1.0.5 exiting
% 24.27/24.50 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------