%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : HWV052-1.001.001 : TPTP v9.2.1. Released v4.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 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 Jun 3 08:23:25 AM UTC 2026 % Result : Unsatisfiable 15.41s 15.63s % Output : Proof 15.41s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.13 % Problem : HWV052-1.001.001 : TPTP v9.2.1. Released v4.1.0. % 0.12/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.35 % Computer : n003.cluster.edu % 0.16/0.35 % Model : x86_64 x86_64 % 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.35 % Memory : 8042.1875MB % 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.35 % CPULimit : 300 % 0.16/0.35 % WCLimit : 300 % 0.16/0.35 % DateTime : Tue Jun 2 02:47:14 EDT 2026 % 0.16/0.35 % CPUTime : % 0.28/0.52 %----Proving TF0_NAR, FOF, or CNF % 0.28/0.53 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.30/15.59 --- Run --no-e-matching --full-saturate-quant at 6... % 15.41/15.63 % SZS status Unsatisfiable % 15.41/15.63 % SZS output start Proof % 15.41/15.64 ( % 15.41/15.64 (declare-sort $$unsorted 0) % 15.41/15.64 (declare-const tptp.unpack1 (-> $$unsorted $$unsorted $$unsorted)) % 15.41/15.64 (declare-const tptp.pack1 (-> $$unsorted $$unsorted)) % 15.41/15.64 (declare-const tptp.inv (-> $$unsorted $$unsorted)) % 15.41/15.64 (declare-const tptp.o $$unsorted) % 15.41/15.64 (declare-const tptp.i $$unsorted) % 15.41/15.64 (define @t1 () (@var "X" $$unsorted)) % 15.41/15.64 (define @t2 () (or (= @t1 tptp.o) (= @t1 tptp.i))) % 15.41/15.64 (define @t3 () (@list @t1)) % 15.41/15.64 (define @t4 () (forall @t3 @t2)) % 15.41/15.64 (define @t5 () (tptp.inv @t1)) % 15.41/15.64 (define @t6 () (not (= @t5 @t1))) % 15.41/15.64 (define @t7 () (forall @t3 @t6)) % 15.41/15.64 (define @t8 () (@var "X1" $$unsorted)) % 15.41/15.64 (define @t9 () (tptp.pack1 @t8)) % 15.41/15.64 (define @t10 () (tptp.unpack1 @t8 @t9)) % 15.41/15.64 (define @t11 () (@list @t8)) % 15.41/15.64 (define @t12 () (forall @t11 (= @t10 @t8))) % 15.41/15.64 (define @t13 () (tptp.unpack1 (tptp.inv @t8) @t9)) % 15.41/15.64 (define @t14 () (forall @t11 (= @t13 @t8))) % 15.41/15.64 (define @t15 () (tptp.unpack1 @t8 (tptp.inv @t9))) % 15.41/15.64 (define @t16 () (forall @t11 (= @t15 @t8))) % 15.41/15.64 (define @t17 () (@const 0 $$unsorted)) % 15.41/15.64 (define @t18 () (@list @t17)) % 15.41/15.64 (define @t19 () (tptp.inv @t17)) % 15.41/15.64 (define @t20 () (@list @t19)) % 15.41/15.64 (define @t21 () (= tptp.o @t19)) % 15.41/15.64 (define @t22 () (not @t21)) % 15.41/15.64 (define @t23 () (= @t17 @t19)) % 15.41/15.64 (define @t24 () (= tptp.o @t17)) % 15.41/15.64 (define @t25 () (not @t24)) % 15.41/15.64 (define @t26 () (not @t23)) % 15.41/15.64 (define @t27 () (not @t26)) % 15.41/15.64 (define @t28 () (and @t24 @t26)) % 15.41/15.64 (define @t29 () (= tptp.i @t19)) % 15.41/15.64 (define @t30 () (or @t21 @t29)) % 15.41/15.64 (define @t31 () (forall @t3 (not (= @t1 @t5)))) % 15.41/15.64 (define @t32 () (forall @t3 (or (= tptp.o @t1) (= tptp.i @t1)))) % 15.41/15.64 (define @t33 () (tptp.pack1 @t17)) % 15.41/15.64 (define @t34 () (tptp.unpack1 @t19 @t33)) % 15.41/15.64 (define @t35 () (= @t17 @t34)) % 15.41/15.64 (define @t36 () (= tptp.o @t33)) % 15.41/15.64 (define @t37 () (tptp.pack1 @t19)) % 15.41/15.64 (define @t38 () (= @t19 (tptp.unpack1 @t19 @t37))) % 15.41/15.64 (define @t39 () (= tptp.o @t37)) % 15.41/15.64 (define @t40 () (and @t24 @t35 @t36 @t38 @t39)) % 15.41/15.64 (define @t41 () (not @t39)) % 15.41/15.64 (define @t42 () (not @t38)) % 15.41/15.64 (define @t43 () (not @t36)) % 15.41/15.64 (define @t44 () (not @t35)) % 15.41/15.64 (define @t45 () (= tptp.i @t37)) % 15.41/15.64 (define @t46 () (or @t39 @t45)) % 15.41/15.64 (define @t47 () (tptp.inv @t37)) % 15.41/15.64 (define @t48 () (= tptp.i @t47)) % 15.41/15.64 (define @t49 () (not @t48)) % 15.41/15.64 (define @t50 () (not @t45)) % 15.41/15.64 (define @t51 () (= @t19 (tptp.inv @t19))) % 15.41/15.64 (define @t52 () (not @t29)) % 15.41/15.64 (define @t53 () (not @t51)) % 15.41/15.64 (define @t54 () (not @t53)) % 15.41/15.64 (define @t55 () (and @t29 @t53 @t45)) % 15.41/15.64 (define @t56 () (= tptp.o @t47)) % 15.41/15.64 (define @t57 () (or @t56 @t48)) % 15.41/15.64 (define @t58 () (tptp.unpack1 @t19 @t47)) % 15.41/15.64 (define @t59 () (= @t19 @t58)) % 15.41/15.64 (define @t60 () (and @t24 @t35 @t29 @t36 @t59 @t45 @t56)) % 15.41/15.64 (define @t61 () (not @t56)) % 15.41/15.64 (define @t62 () (not @t59)) % 15.41/15.64 (define @t63 () (= tptp.i @t33)) % 15.41/15.64 (define @t64 () (or @t36 @t63)) % 15.41/15.64 (define @t65 () (and @t24 @t35 @t29 @t63 @t59 @t39)) % 15.41/15.64 (define @t66 () (not @t63)) % 15.41/15.64 (define @t67 () (and @t35 @t63 @t38 @t45)) % 15.41/15.64 (define @t68 () (= tptp.i @t17)) % 15.41/15.64 (define @t69 () (or @t24 @t68)) % 15.41/15.64 (define @t70 () (@list true false)) % 15.41/15.64 (define @t71 () (not @t68)) % 15.41/15.64 (define @t72 () (and @t68 @t26)) % 15.41/15.64 (define @t73 () (and @t35 @t36 @t38 @t39)) % 15.41/15.64 (define @t74 () (and @t68 @t35 @t21 @t36 @t59 @t45)) % 15.41/15.64 (define @t75 () (and @t21 @t53 @t39)) % 15.41/15.64 (define @t76 () (and @t68 @t35 @t21 @t63 @t59 @t39 @t48)) % 15.41/15.64 (assume @p1 @t4) % 15.41/15.64 (assume @p2 @t7) % 15.41/15.64 (assume @p3 @t12) % 15.41/15.64 (assume @p4 @t14) % 15.41/15.64 (assume @p5 @t16) % 15.41/15.64 (step @p6 :rule eq-symm :args (@t13 @t8)) % 15.41/15.64 (step @p7 :rule cong :premises (@p6) :args (@t14)) % 15.41/15.64 (step @p8 :rule eq_resolve :premises (@p4 @p7)) % 15.41/15.64 (step @p9 :rule instantiate :premises (@p8) :args (@t18)) % 15.41/15.64 (step @p10 :rule eq-symm :args (@t5 @t1)) % 15.41/15.64 (step @p11 :rule cong :premises (@p10) :args (@t6)) % 15.41/15.64 (step @p12 :rule cong :premises (@p11) :args (@t7)) % 15.41/15.64 (step @p13 :rule eq_resolve :premises (@p2 @p12)) % 15.41/15.64 (step @p14 :rule instantiate :premises (@p13) :args (@t20)) % 15.41/15.64 (step @p15 :rule eq-symm :args (@t15 @t8)) % 15.41/15.64 (step @p16 :rule cong :premises (@p15) :args (@t16)) % 15.41/15.64 (step @p17 :rule eq_resolve :premises (@p5 @p16)) % 15.41/15.64 (step @p18 :rule instantiate :premises (@p17) :args (@t20)) % 15.41/15.64 (step @p19 :rule eq-symm :args (@t1 tptp.i)) % 15.41/15.64 (step @p20 :rule eq-symm :args (@t1 tptp.o)) % 15.41/15.64 (step @p21 :rule nary_cong :premises (@p20 @p19) :args (@t2)) % 15.41/15.64 (step @p22 :rule cong :premises (@p21) :args (@t4)) % 15.41/15.64 (step @p23 :rule eq_resolve :premises (@p1 @p22)) % 15.41/15.64 (step @p24 :rule instantiate :premises (@p23) :args (@t18)) % 15.41/15.64 (step @p25 :rule instantiate :premises (@p13) :args (@t18)) % 15.41/15.64 (step @p26 :rule refl :args (@t22)) % 15.41/15.64 (step @p27 :rule bool-double-not-elim :args (@t23)) % 15.41/15.64 (step @p28 :rule refl :args (@t25)) % 15.41/15.64 (step @p29 :rule nary_cong :premises (@p28 @p27 @p26) :args ((or @t25 @t27 @t22))) % 15.41/15.64 (assume-push @p430 @t24) % 15.41/15.64 (assume-push @p431 @t26) % 15.41/15.64 (assume-push @p432 @t26) % 15.41/15.64 (assume-push @p433 @t24) % 15.41/15.64 (step @p34 :rule false_intro :premises (@p25)) % 15.41/15.64 (step @p35 :rule refl :args (@t19)) % 15.41/15.64 (step @p36 :rule cong :premises (@p430 @p35) :args (@t21)) % 15.41/15.64 (step @p37 :rule trans :premises (@p36 @p34)) % 15.41/15.64 (step @p38 :rule false_elim :premises (@p37)) % 15.41/15.64 (step-pop @p434 :rule scope :premises (@p38)) % 15.41/15.64 (step-pop @p435 :rule scope :premises (@p434)) % 15.41/15.64 (step @p39 :rule process_scope :premises (@p435) :args (@t22)) % 15.41/15.64 (step @p42 :rule and_intro :premises (@p25 @p430)) % 15.41/15.64 (step @p43 :rule modus_ponens :premises (@p42 @p39)) % 15.41/15.64 (step-pop @p436 :rule scope :premises (@p43)) % 15.41/15.64 (step-pop @p437 :rule scope :premises (@p436)) % 15.41/15.64 (step @p44 :rule process_scope :premises (@p437) :args (@t22)) % 15.41/15.64 (step @p47 :rule implies_elim :premises (@p44)) % 15.41/15.64 (step @p48 :rule cnf_and_neg :args (@t28)) % 15.41/15.64 (step @p49 :rule resolution :premises (@p48 @p47) :args (true @t28)) % 15.41/15.64 (step @p50 :rule eq_resolve :premises (@p49 @p29)) % 15.41/15.64 (step @p51 :rule reordering :premises (@p50) :args ((or @t23 @t25 @t22))) % 15.41/15.64 (step @p52 :rule instantiate :premises (@p23) :args (@t20)) % 15.41/15.64 (step @p53 :rule cnf_or_pos :args (@t30)) % 15.41/15.64 (step @p54 :rule reordering :premises (@p53) :args ((or @t21 @t29 (not @t30)))) % 15.41/15.64 (assume-push @p438 @t31) % 15.41/15.64 (step-pop @p439 :rule scope :premises (@p25)) % 15.41/15.64 (step @p56 :rule process_scope :premises (@p439) :args (@t26)) % 15.41/15.64 (step @p58 :rule implies_elim :premises (@p56)) % 15.41/15.64 (assume-push @p440 @t32) % 15.41/15.64 (step-pop @p441 :rule scope :premises (@p52)) % 15.41/15.64 (step @p60 :rule process_scope :premises (@p441) :args (@t30)) % 15.41/15.64 (step @p62 :rule implies_elim :premises (@p60)) % 15.41/15.64 (step @p63 :rule eq-symm :args (@t10 @t8)) % 15.41/15.64 (step @p64 :rule cong :premises (@p63) :args (@t12)) % 15.41/15.64 (step @p65 :rule eq_resolve :premises (@p3 @p64)) % 15.41/15.64 (step @p66 :rule instantiate :premises (@p65) :args (@t20)) % 15.41/15.64 (assume-push @p442 @t24) % 15.41/15.64 (assume-push @p443 @t35) % 15.41/15.64 (assume-push @p444 @t36) % 15.41/15.64 (assume-push @p445 @t38) % 15.41/15.64 (assume-push @p446 @t39) % 15.41/15.64 (assume-push @p447 @t38) % 15.41/15.64 (assume-push @p448 @t39) % 15.41/15.64 (assume-push @p449 @t36) % 15.41/15.64 (assume-push @p450 @t35) % 15.41/15.64 (assume-push @p451 @t24) % 15.41/15.64 (step @p77 :rule symm :premises (@p66)) % 15.41/15.64 (step @p78 :rule symm :premises (@p444)) % 15.41/15.64 (step @p79 :rule trans :premises (@p78 @p446)) % 15.41/15.64 (step @p35 :rule refl :args (@t19)) % 15.41/15.64 (step @p80 :rule cong :premises (@p35 @p79) :args (@t34)) % 15.41/15.64 (step @p81 :rule trans :premises (@p442 @p9 @p80 @p77)) % 15.41/15.64 (step-pop @p452 :rule scope :premises (@p81)) % 15.41/15.64 (step-pop @p453 :rule scope :premises (@p452)) % 15.41/15.64 (step-pop @p454 :rule scope :premises (@p453)) % 15.41/15.64 (step-pop @p455 :rule scope :premises (@p454)) % 15.41/15.64 (step-pop @p456 :rule scope :premises (@p455)) % 15.41/15.64 (step @p82 :rule process_scope :premises (@p456) :args (@t21)) % 15.41/15.64 (step @p88 :rule and_intro :premises (@p66 @p446 @p444 @p9 @p442)) % 15.41/15.64 (step @p89 :rule modus_ponens :premises (@p88 @p82)) % 15.41/15.64 (step-pop @p457 :rule scope :premises (@p89)) % 15.41/15.64 (step-pop @p458 :rule scope :premises (@p457)) % 15.41/15.64 (step-pop @p459 :rule scope :premises (@p458)) % 15.41/15.64 (step-pop @p460 :rule scope :premises (@p459)) % 15.41/15.64 (step-pop @p461 :rule scope :premises (@p460)) % 15.41/15.64 (step @p90 :rule process_scope :premises (@p461) :args (@t21)) % 15.41/15.64 (step @p96 :rule implies_elim :premises (@p90)) % 15.41/15.64 (step @p97 :rule cnf_and_neg :args (@t40)) % 15.41/15.64 (step @p98 :rule resolution :premises (@p97 @p96) :args (true @t40)) % 15.41/15.64 (step @p99 :rule reordering :premises (@p98) :args ((or @t25 @t44 @t21 @t43 @t42 @t41))) % 15.41/15.64 (step @p100 :rule instantiate :premises (@p23) :args ((@list @t37))) % 15.41/15.64 (step @p101 :rule cnf_or_pos :args (@t46)) % 15.41/15.64 (step @p102 :rule reordering :premises (@p101) :args ((or @t39 @t45 (not @t46)))) % 15.41/15.64 (step @p103 :rule refl :args (@t49)) % 15.41/15.64 (step @p104 :rule refl :args (@t50)) % 15.41/15.64 (step @p105 :rule bool-double-not-elim :args (@t51)) % 15.41/15.64 (step @p106 :rule refl :args (@t52)) % 15.41/15.64 (step @p107 :rule nary_cong :premises (@p106 @p105 @p104 @p103) :args ((or @t52 @t54 @t50 @t49))) % 15.41/15.64 (assume-push @p462 @t29) % 15.41/15.64 (assume-push @p463 @t53) % 15.41/15.64 (assume-push @p464 @t45) % 15.41/15.64 (assume-push @p465 @t53) % 15.41/15.64 (assume-push @p466 @t29) % 15.41/15.64 (assume-push @p467 @t45) % 15.41/15.64 (step @p114 :rule false_intro :premises (@p14)) % 15.41/15.64 (step @p115 :rule symm :premises (@p464)) % 15.41/15.64 (step @p116 :rule trans :premises (@p115 @p462)) % 15.41/15.64 (step @p117 :rule cong :premises (@p116) :args (@t47)) % 15.41/15.64 (step @p118 :rule cong :premises (@p462 @p117) :args (@t48)) % 15.41/15.64 (step @p119 :rule trans :premises (@p118 @p114)) % 15.41/15.64 (step @p120 :rule false_elim :premises (@p119)) % 15.41/15.64 (step-pop @p468 :rule scope :premises (@p120)) % 15.41/15.64 (step-pop @p469 :rule scope :premises (@p468)) % 15.41/15.64 (step-pop @p470 :rule scope :premises (@p469)) % 15.41/15.64 (step @p121 :rule process_scope :premises (@p470) :args (@t49)) % 15.41/15.64 (step @p125 :rule and_intro :premises (@p14 @p462 @p464)) % 15.41/15.64 (step @p126 :rule modus_ponens :premises (@p125 @p121)) % 15.41/15.64 (step-pop @p471 :rule scope :premises (@p126)) % 15.41/15.64 (step-pop @p472 :rule scope :premises (@p471)) % 15.41/15.64 (step-pop @p473 :rule scope :premises (@p472)) % 15.41/15.64 (step @p127 :rule process_scope :premises (@p473) :args (@t49)) % 15.41/15.64 (step @p131 :rule implies_elim :premises (@p127)) % 15.41/15.64 (step @p132 :rule cnf_and_neg :args (@t55)) % 15.41/15.64 (step @p133 :rule resolution :premises (@p132 @p131) :args (true @t55)) % 15.41/15.64 (step @p134 :rule eq_resolve :premises (@p133 @p107)) % 15.41/15.64 (step @p135 :rule instantiate :premises (@p23) :args ((@list @t47))) % 15.41/15.64 (step @p136 :rule cnf_or_pos :args (@t57)) % 15.41/15.64 (step @p137 :rule reordering :premises (@p136) :args ((or @t56 @t48 (not @t57)))) % 15.41/15.64 (assume-push @p474 @t24) % 15.41/15.64 (assume-push @p475 @t35) % 15.41/15.64 (assume-push @p476 @t29) % 15.41/15.64 (assume-push @p477 @t36) % 15.41/15.64 (assume-push @p478 @t59) % 15.41/15.64 (assume-push @p479 @t45) % 15.41/15.64 (assume-push @p480 @t56) % 15.41/15.64 (assume-push @p481 @t29) % 15.41/15.64 (assume-push @p482 @t45) % 15.41/15.64 (assume-push @p483 @t56) % 15.41/15.64 (assume-push @p484 @t24) % 15.41/15.64 (assume-push @p485 @t35) % 15.41/15.64 (assume-push @p486 @t36) % 15.41/15.64 (assume-push @p487 @t59) % 15.41/15.64 (step @p152 :rule symm :premises (@p479)) % 15.41/15.64 (step @p153 :rule trans :premises (@p152 @p476)) % 15.41/15.64 (step @p154 :rule cong :premises (@p153) :args (@t47)) % 15.41/15.64 (step @p155 :rule symm :premises (@p474)) % 15.41/15.64 (step @p156 :rule symm :premises (@p9)) % 15.41/15.64 (step @p157 :rule symm :premises (@p480)) % 15.41/15.64 (step @p158 :rule trans :premises (@p157 @p477)) % 15.41/15.64 (step @p35 :rule refl :args (@t19)) % 15.41/15.64 (step @p159 :rule cong :premises (@p35 @p158) :args (@t58)) % 15.41/15.64 (step @p160 :rule trans :premises (@p18 @p159 @p156 @p155 @p480 @p154)) % 15.41/15.64 (step-pop @p488 :rule scope :premises (@p160)) % 15.41/15.64 (step-pop @p489 :rule scope :premises (@p488)) % 15.41/15.64 (step-pop @p490 :rule scope :premises (@p489)) % 15.41/15.64 (step-pop @p491 :rule scope :premises (@p490)) % 15.41/15.64 (step-pop @p492 :rule scope :premises (@p491)) % 15.41/15.64 (step-pop @p493 :rule scope :premises (@p492)) % 15.41/15.64 (step-pop @p494 :rule scope :premises (@p493)) % 15.41/15.64 (step @p161 :rule process_scope :premises (@p494) :args (@t51)) % 15.41/15.64 (step @p169 :rule and_intro :premises (@p476 @p479 @p480 @p474 @p9 @p477 @p18)) % 15.41/15.64 (step @p170 :rule modus_ponens :premises (@p169 @p161)) % 15.41/15.64 (step-pop @p495 :rule scope :premises (@p170)) % 15.41/15.64 (step-pop @p496 :rule scope :premises (@p495)) % 15.41/15.64 (step-pop @p497 :rule scope :premises (@p496)) % 15.41/15.64 (step-pop @p498 :rule scope :premises (@p497)) % 15.41/15.64 (step-pop @p499 :rule scope :premises (@p498)) % 15.41/15.64 (step-pop @p500 :rule scope :premises (@p499)) % 15.41/15.64 (step-pop @p501 :rule scope :premises (@p500)) % 15.41/15.64 (step @p171 :rule process_scope :premises (@p501) :args (@t51)) % 15.41/15.64 (step @p179 :rule implies_elim :premises (@p171)) % 15.41/15.64 (step @p180 :rule cnf_and_neg :args (@t60)) % 15.41/15.64 (step @p181 :rule resolution :premises (@p180 @p179) :args (true @t60)) % 15.41/15.64 (step @p182 :rule reordering :premises (@p181) :args ((or @t25 @t44 @t52 @t43 @t51 @t62 @t50 @t61))) % 15.41/15.64 (step @p183 :rule chain_m_resolution :premises (@p182 @p18 @p14 @p9 @p137 @p135 @p134 @p14 @p102 @p100 @p99 @p66 @p9 @p54 @p62 @p23 @p51 @p58 @p13) :args ((or @t25 @t43) (@list false true false false false true true false false true false false false false false true true false) (@list @t59 @t51 @t35 @t56 @t57 @t48 @t51 @t45 @t46 @t39 @t38 @t35 @t29 @t30 @t32 @t21 @t23 @t31))) % 15.41/15.64 (step @p184 :rule instantiate :premises (@p23) :args ((@list @t33))) % 15.41/15.64 (step @p185 :rule cnf_or_pos :args (@t64)) % 15.41/15.64 (step @p186 :rule reordering :premises (@p185) :args ((or @t36 @t63 (not @t64)))) % 15.41/15.64 (assume-push @p502 @t24) % 15.41/15.64 (assume-push @p503 @t35) % 15.41/15.64 (assume-push @p504 @t29) % 15.41/15.64 (assume-push @p505 @t63) % 15.41/15.64 (assume-push @p506 @t59) % 15.41/15.64 (assume-push @p507 @t39) % 15.41/15.64 (assume-push @p508 @t59) % 15.41/15.64 (assume-push @p509 @t39) % 15.41/15.64 (assume-push @p510 @t24) % 15.41/15.64 (assume-push @p511 @t29) % 15.41/15.64 (assume-push @p512 @t63) % 15.41/15.64 (assume-push @p513 @t35) % 15.41/15.64 (step @p199 :rule symm :premises (@p18)) % 15.41/15.64 (step @p200 :rule symm :premises (@p502)) % 15.41/15.64 (step @p201 :rule trans :premises (@p200 @p507)) % 15.41/15.64 (step @p202 :rule cong :premises (@p201) :args (@t19)) % 15.41/15.64 (step @p203 :rule symm :premises (@p505)) % 15.41/15.64 (step @p204 :rule trans :premises (@p203 @p504 @p202)) % 15.41/15.64 (step @p35 :rule refl :args (@t19)) % 15.41/15.64 (step @p205 :rule cong :premises (@p35 @p204) :args (@t34)) % 15.41/15.64 (step @p206 :rule trans :premises (@p9 @p205 @p199)) % 15.41/15.64 (step-pop @p514 :rule scope :premises (@p206)) % 15.41/15.64 (step-pop @p515 :rule scope :premises (@p514)) % 15.41/15.64 (step-pop @p516 :rule scope :premises (@p515)) % 15.41/15.64 (step-pop @p517 :rule scope :premises (@p516)) % 15.41/15.64 (step-pop @p518 :rule scope :premises (@p517)) % 15.41/15.64 (step-pop @p519 :rule scope :premises (@p518)) % 15.41/15.64 (step @p207 :rule process_scope :premises (@p519) :args (@t23)) % 15.41/15.64 (step @p214 :rule and_intro :premises (@p18 @p507 @p502 @p504 @p505 @p9)) % 15.41/15.64 (step @p215 :rule modus_ponens :premises (@p214 @p207)) % 15.41/15.64 (step-pop @p520 :rule scope :premises (@p215)) % 15.41/15.64 (step-pop @p521 :rule scope :premises (@p520)) % 15.41/15.64 (step-pop @p522 :rule scope :premises (@p521)) % 15.41/15.64 (step-pop @p523 :rule scope :premises (@p522)) % 15.41/15.64 (step-pop @p524 :rule scope :premises (@p523)) % 15.41/15.64 (step-pop @p525 :rule scope :premises (@p524)) % 15.41/15.64 (step @p216 :rule process_scope :premises (@p525) :args (@t23)) % 15.41/15.64 (step @p223 :rule implies_elim :premises (@p216)) % 15.41/15.64 (step @p224 :rule cnf_and_neg :args (@t65)) % 15.41/15.64 (step @p225 :rule resolution :premises (@p224 @p223) :args (true @t65)) % 15.41/15.64 (step @p226 :rule reordering :premises (@p225) :args ((or @t23 @t25 @t44 @t52 @t66 @t62 @t41))) % 15.41/15.64 (assume-push @p526 @t35) % 15.41/15.64 (assume-push @p527 @t63) % 15.41/15.64 (assume-push @p528 @t38) % 15.41/15.64 (assume-push @p529 @t45) % 15.41/15.64 (assume-push @p530 @t38) % 15.41/15.64 (assume-push @p531 @t45) % 15.41/15.64 (assume-push @p532 @t63) % 15.41/15.64 (assume-push @p533 @t35) % 15.41/15.64 (step @p77 :rule symm :premises (@p66)) % 15.41/15.64 (step @p235 :rule symm :premises (@p527)) % 15.41/15.64 (step @p236 :rule trans :premises (@p235 @p529)) % 15.41/15.64 (step @p35 :rule refl :args (@t19)) % 15.41/15.64 (step @p237 :rule cong :premises (@p35 @p236) :args (@t34)) % 15.41/15.64 (step @p238 :rule trans :premises (@p9 @p237 @p77)) % 15.41/15.64 (step-pop @p534 :rule scope :premises (@p238)) % 15.41/15.64 (step-pop @p535 :rule scope :premises (@p534)) % 15.41/15.64 (step-pop @p536 :rule scope :premises (@p535)) % 15.41/15.64 (step-pop @p537 :rule scope :premises (@p536)) % 15.41/15.64 (step @p239 :rule process_scope :premises (@p537) :args (@t23)) % 15.41/15.64 (step @p244 :rule and_intro :premises (@p66 @p529 @p527 @p9)) % 15.41/15.64 (step @p245 :rule modus_ponens :premises (@p244 @p239)) % 15.41/15.64 (step-pop @p538 :rule scope :premises (@p245)) % 15.41/15.64 (step-pop @p539 :rule scope :premises (@p538)) % 15.41/15.64 (step-pop @p540 :rule scope :premises (@p539)) % 15.41/15.64 (step-pop @p541 :rule scope :premises (@p540)) % 15.41/15.64 (step @p246 :rule process_scope :premises (@p541) :args (@t23)) % 15.41/15.64 (step @p251 :rule implies_elim :premises (@p246)) % 15.41/15.64 (step @p252 :rule cnf_and_neg :args (@t67)) % 15.41/15.64 (step @p253 :rule resolution :premises (@p252 @p251) :args (true @t67)) % 15.41/15.64 (step @p254 :rule reordering :premises (@p253) :args ((or @t23 @t44 @t66 @t42 @t50))) % 15.41/15.64 (step @p255 :rule chain_m_resolution :premises (@p254 @p66 @p9 @p25 @p102 @p100 @p226 @p18 @p9 @p25 @p186 @p184 @p183 @p54 @p52 @p51 @p25) :args (@t25 (@list false false true false false true false false true false false true false false true true) (@list @t38 @t35 @t23 @t45 @t46 @t39 @t59 @t35 @t23 @t63 @t64 @t36 @t29 @t30 @t21 @t23))) % 15.41/15.64 (step @p256 :rule cnf_or_pos :args (@t69)) % 15.41/15.64 (step @p257 :rule reordering :premises (@p256) :args ((or @t24 @t68 (not @t69)))) % 15.41/15.64 (step @p258 :rule chain_m_resolution :premises (@p257 @p255 @p24) :args (@t68 @t70 (@list @t24 @t69))) % 15.41/15.64 (step @p259 :rule refl :args (@t71)) % 15.41/15.64 (step @p260 :rule nary_cong :premises (@p259 @p27 @p106) :args ((or @t71 @t27 @t52))) % 15.41/15.64 (assume-push @p542 @t68) % 15.41/15.64 (assume-push @p543 @t26) % 15.41/15.64 (assume-push @p544 @t26) % 15.41/15.64 (assume-push @p545 @t68) % 15.41/15.64 (step @p34 :rule false_intro :premises (@p25)) % 15.41/15.64 (step @p35 :rule refl :args (@t19)) % 15.41/15.64 (step @p265 :rule cong :premises (@p542 @p35) :args (@t29)) % 15.41/15.64 (step @p266 :rule trans :premises (@p265 @p34)) % 15.41/15.64 (step @p267 :rule false_elim :premises (@p266)) % 15.41/15.64 (step-pop @p546 :rule scope :premises (@p267)) % 15.41/15.64 (step-pop @p547 :rule scope :premises (@p546)) % 15.41/15.64 (step @p268 :rule process_scope :premises (@p547) :args (@t52)) % 15.41/15.64 (step @p271 :rule and_intro :premises (@p25 @p542)) % 15.41/15.64 (step @p272 :rule modus_ponens :premises (@p271 @p268)) % 15.41/15.64 (step-pop @p548 :rule scope :premises (@p272)) % 15.41/15.64 (step-pop @p549 :rule scope :premises (@p548)) % 15.41/15.64 (step @p273 :rule process_scope :premises (@p549) :args (@t52)) % 15.41/15.64 (step @p276 :rule implies_elim :premises (@p273)) % 15.41/15.64 (step @p277 :rule cnf_and_neg :args (@t72)) % 15.41/15.64 (step @p278 :rule resolution :premises (@p277 @p276) :args (true @t72)) % 15.41/15.64 (step @p279 :rule eq_resolve :premises (@p278 @p260)) % 15.41/15.64 (step @p280 :rule reordering :premises (@p279) :args ((or @t23 @t71 @t52))) % 15.41/15.64 (step @p281 :rule chain_m_resolution :premises (@p280 @p25 @p258) :args (@t52 @t70 (@list @t23 @t68))) % 15.41/15.64 (step @p282 :rule chain_m_resolution :premises (@p54 @p281 @p52) :args (@t21 @t70 (@list @t29 @t30))) % 15.41/15.64 (assume-push @p550 @t35) % 15.41/15.64 (assume-push @p551 @t36) % 15.41/15.64 (assume-push @p552 @t38) % 15.41/15.64 (assume-push @p553 @t39) % 15.41/15.64 (assume-push @p554 @t38) % 15.41/15.64 (assume-push @p555 @t39) % 15.41/15.64 (assume-push @p556 @t36) % 15.41/15.64 (assume-push @p557 @t35) % 15.41/15.64 (step @p77 :rule symm :premises (@p66)) % 15.41/15.64 (step @p291 :rule symm :premises (@p551)) % 15.41/15.64 (step @p292 :rule trans :premises (@p291 @p553)) % 15.41/15.64 (step @p35 :rule refl :args (@t19)) % 15.41/15.64 (step @p293 :rule cong :premises (@p35 @p292) :args (@t34)) % 15.41/15.64 (step @p294 :rule trans :premises (@p9 @p293 @p77)) % 15.41/15.64 (step-pop @p558 :rule scope :premises (@p294)) % 15.41/15.64 (step-pop @p559 :rule scope :premises (@p558)) % 15.41/15.64 (step-pop @p560 :rule scope :premises (@p559)) % 15.41/15.64 (step-pop @p561 :rule scope :premises (@p560)) % 15.41/15.64 (step @p295 :rule process_scope :premises (@p561) :args (@t23)) % 15.41/15.64 (step @p300 :rule and_intro :premises (@p66 @p553 @p551 @p9)) % 15.41/15.64 (step @p301 :rule modus_ponens :premises (@p300 @p295)) % 15.41/15.64 (step-pop @p562 :rule scope :premises (@p301)) % 15.41/15.64 (step-pop @p563 :rule scope :premises (@p562)) % 15.41/15.64 (step-pop @p564 :rule scope :premises (@p563)) % 15.41/15.64 (step-pop @p565 :rule scope :premises (@p564)) % 15.41/15.64 (step @p302 :rule process_scope :premises (@p565) :args (@t23)) % 15.41/15.64 (step @p307 :rule implies_elim :premises (@p302)) % 15.41/15.64 (step @p308 :rule cnf_and_neg :args (@t73)) % 15.41/15.64 (step @p309 :rule resolution :premises (@p308 @p307) :args (true @t73)) % 15.41/15.64 (step @p310 :rule reordering :premises (@p309) :args ((or @t23 @t44 @t43 @t42 @t41))) % 15.41/15.64 (assume-push @p566 @t68) % 15.41/15.64 (assume-push @p567 @t35) % 15.41/15.64 (assume-push @p568 @t21) % 15.41/15.64 (assume-push @p569 @t36) % 15.41/15.64 (assume-push @p570 @t59) % 15.41/15.64 (assume-push @p571 @t45) % 15.41/15.64 (assume-push @p572 @t59) % 15.41/15.64 (assume-push @p573 @t45) % 15.41/15.64 (assume-push @p574 @t68) % 15.41/15.64 (assume-push @p575 @t21) % 15.41/15.64 (assume-push @p576 @t36) % 15.41/15.64 (assume-push @p577 @t35) % 15.41/15.64 (step @p199 :rule symm :premises (@p18)) % 15.41/15.64 (step @p323 :rule symm :premises (@p566)) % 15.41/15.64 (step @p324 :rule trans :premises (@p323 @p571)) % 15.41/15.64 (step @p325 :rule cong :premises (@p324) :args (@t19)) % 15.41/15.64 (step @p326 :rule symm :premises (@p569)) % 15.41/15.64 (step @p327 :rule trans :premises (@p326 @p568 @p325)) % 15.41/15.64 (step @p35 :rule refl :args (@t19)) % 15.41/15.64 (step @p328 :rule cong :premises (@p35 @p327) :args (@t34)) % 15.41/15.64 (step @p329 :rule trans :premises (@p9 @p328 @p199)) % 15.41/15.64 (step-pop @p578 :rule scope :premises (@p329)) % 15.41/15.64 (step-pop @p579 :rule scope :premises (@p578)) % 15.41/15.64 (step-pop @p580 :rule scope :premises (@p579)) % 15.41/15.64 (step-pop @p581 :rule scope :premises (@p580)) % 15.41/15.64 (step-pop @p582 :rule scope :premises (@p581)) % 15.41/15.64 (step-pop @p583 :rule scope :premises (@p582)) % 15.41/15.64 (step @p330 :rule process_scope :premises (@p583) :args (@t23)) % 15.41/15.64 (step @p337 :rule and_intro :premises (@p18 @p571 @p566 @p568 @p569 @p9)) % 15.41/15.64 (step @p338 :rule modus_ponens :premises (@p337 @p330)) % 15.41/15.64 (step-pop @p584 :rule scope :premises (@p338)) % 15.41/15.64 (step-pop @p585 :rule scope :premises (@p584)) % 15.41/15.64 (step-pop @p586 :rule scope :premises (@p585)) % 15.41/15.64 (step-pop @p587 :rule scope :premises (@p586)) % 15.41/15.64 (step-pop @p588 :rule scope :premises (@p587)) % 15.41/15.64 (step-pop @p589 :rule scope :premises (@p588)) % 15.41/15.64 (step @p339 :rule process_scope :premises (@p589) :args (@t23)) % 15.41/15.64 (step @p346 :rule implies_elim :premises (@p339)) % 15.41/15.64 (step @p347 :rule cnf_and_neg :args (@t74)) % 15.41/15.64 (step @p348 :rule resolution :premises (@p347 @p346) :args (true @t74)) % 15.41/15.64 (step @p349 :rule reordering :premises (@p348) :args ((or @t23 @t71 @t44 @t22 @t43 @t62 @t50))) % 15.41/15.64 (step @p350 :rule chain_m_resolution :premises (@p349 @p282 @p258 @p18 @p9 @p25 @p102 @p100 @p310 @p66 @p9 @p25) :args (@t43 (@list false false false false true false false true false false true) (@list @t21 @t68 @t59 @t35 @t23 @t45 @t46 @t39 @t38 @t35 @t23))) % 15.41/15.64 (step @p351 :rule chain_m_resolution :premises (@p186 @p350 @p184) :args (@t63 @t70 (@list @t36 @t64))) % 15.41/15.64 (step @p352 :rule chain_m_resolution :premises (@p254 @p25 @p9 @p351 @p66) :args (@t50 (@list true false false false) (@list @t23 @t35 @t63 @t38))) % 15.41/15.64 (step @p353 :rule chain_m_resolution :premises (@p102 @p352 @p100) :args (@t39 @t70 (@list @t45 @t46))) % 15.41/15.64 (step @p354 :rule refl :args (@t61)) % 15.41/15.64 (step @p355 :rule refl :args (@t41)) % 15.41/15.64 (step @p356 :rule nary_cong :premises (@p26 @p105 @p355 @p354) :args ((or @t22 @t54 @t41 @t61))) % 15.41/15.64 (assume-push @p590 @t21) % 15.41/15.64 (assume-push @p591 @t53) % 15.41/15.64 (assume-push @p592 @t39) % 15.41/15.64 (assume-push @p593 @t53) % 15.41/15.64 (assume-push @p594 @t21) % 15.41/15.64 (assume-push @p595 @t39) % 15.41/15.64 (step @p114 :rule false_intro :premises (@p14)) % 15.41/15.64 (step @p363 :rule symm :premises (@p592)) % 15.41/15.64 (step @p364 :rule trans :premises (@p363 @p590)) % 15.41/15.64 (step @p365 :rule cong :premises (@p364) :args (@t47)) % 15.41/15.64 (step @p366 :rule cong :premises (@p590 @p365) :args (@t56)) % 15.41/15.64 (step @p367 :rule trans :premises (@p366 @p114)) % 15.41/15.64 (step @p368 :rule false_elim :premises (@p367)) % 15.41/15.64 (step-pop @p596 :rule scope :premises (@p368)) % 15.41/15.64 (step-pop @p597 :rule scope :premises (@p596)) % 15.41/15.64 (step-pop @p598 :rule scope :premises (@p597)) % 15.41/15.64 (step @p369 :rule process_scope :premises (@p598) :args (@t61)) % 15.41/15.64 (step @p373 :rule and_intro :premises (@p14 @p590 @p592)) % 15.41/15.64 (step @p374 :rule modus_ponens :premises (@p373 @p369)) % 15.41/15.64 (step-pop @p599 :rule scope :premises (@p374)) % 15.41/15.64 (step-pop @p600 :rule scope :premises (@p599)) % 15.41/15.64 (step-pop @p601 :rule scope :premises (@p600)) % 15.41/15.64 (step @p375 :rule process_scope :premises (@p601) :args (@t61)) % 15.41/15.64 (step @p379 :rule implies_elim :premises (@p375)) % 15.41/15.64 (step @p380 :rule cnf_and_neg :args (@t75)) % 15.41/15.64 (step @p381 :rule resolution :premises (@p380 @p379) :args (true @t75)) % 15.41/15.64 (step @p382 :rule eq_resolve :premises (@p381 @p356)) % 15.41/15.64 (step @p383 :rule chain_m_resolution :premises (@p382 @p282 @p14 @p353) :args (@t61 (@list false true false) (@list @t21 @t51 @t39))) % 15.41/15.64 (step @p384 :rule chain_m_resolution :premises (@p137 @p383 @p135) :args (@t48 @t70 (@list @t56 @t57))) % 15.41/15.64 (assume-push @p602 @t68) % 15.41/15.64 (assume-push @p603 @t35) % 15.41/15.64 (assume-push @p604 @t21) % 15.41/15.64 (assume-push @p605 @t63) % 15.41/15.64 (assume-push @p606 @t59) % 15.41/15.64 (assume-push @p607 @t39) % 15.41/15.64 (assume-push @p608 @t48) % 15.41/15.64 (assume-push @p609 @t21) % 15.41/15.64 (assume-push @p610 @t39) % 15.41/15.64 (assume-push @p611 @t48) % 15.41/15.64 (assume-push @p612 @t68) % 15.41/15.64 (assume-push @p613 @t35) % 15.41/15.64 (assume-push @p614 @t63) % 15.41/15.64 (assume-push @p615 @t59) % 15.41/15.64 (step @p399 :rule symm :premises (@p607)) % 15.41/15.64 (step @p400 :rule trans :premises (@p399 @p604)) % 15.41/15.64 (step @p401 :rule cong :premises (@p400) :args (@t47)) % 15.41/15.64 (step @p402 :rule symm :premises (@p602)) % 15.41/15.64 (step @p156 :rule symm :premises (@p9)) % 15.41/15.64 (step @p403 :rule symm :premises (@p608)) % 15.41/15.64 (step @p404 :rule trans :premises (@p403 @p605)) % 15.41/15.64 (step @p35 :rule refl :args (@t19)) % 15.41/15.64 (step @p405 :rule cong :premises (@p35 @p404) :args (@t58)) % 15.41/15.64 (step @p406 :rule trans :premises (@p18 @p405 @p156 @p402 @p608 @p401)) % 15.41/15.64 (step-pop @p616 :rule scope :premises (@p406)) % 15.41/15.64 (step-pop @p617 :rule scope :premises (@p616)) % 15.41/15.64 (step-pop @p618 :rule scope :premises (@p617)) % 15.41/15.64 (step-pop @p619 :rule scope :premises (@p618)) % 15.41/15.64 (step-pop @p620 :rule scope :premises (@p619)) % 15.41/15.64 (step-pop @p621 :rule scope :premises (@p620)) % 15.41/15.64 (step-pop @p622 :rule scope :premises (@p621)) % 15.41/15.64 (step @p407 :rule process_scope :premises (@p622) :args (@t51)) % 15.41/15.64 (step @p415 :rule and_intro :premises (@p604 @p607 @p608 @p602 @p9 @p605 @p18)) % 15.41/15.64 (step @p416 :rule modus_ponens :premises (@p415 @p407)) % 15.41/15.64 (step-pop @p623 :rule scope :premises (@p416)) % 15.41/15.64 (step-pop @p624 :rule scope :premises (@p623)) % 15.41/15.64 (step-pop @p625 :rule scope :premises (@p624)) % 15.41/15.64 (step-pop @p626 :rule scope :premises (@p625)) % 15.41/15.64 (step-pop @p627 :rule scope :premises (@p626)) % 15.41/15.64 (step-pop @p628 :rule scope :premises (@p627)) % 15.41/15.64 (step-pop @p629 :rule scope :premises (@p628)) % 15.41/15.64 (step @p417 :rule process_scope :premises (@p629) :args (@t51)) % 15.41/15.64 (step @p425 :rule implies_elim :premises (@p417)) % 15.41/15.64 (step @p426 :rule cnf_and_neg :args (@t76)) % 15.41/15.64 (step @p427 :rule resolution :premises (@p426 @p425) :args (true @t76)) % 15.41/15.65 (step @p428 :rule reordering :premises (@p427) :args ((or @t71 @t44 @t22 @t66 @t51 @t62 @t41 @t49))) % 15.41/15.65 (step @p429 false :rule chain_m_resolution :premises (@p428 @p384 @p353 @p351 @p282 @p258 @p18 @p14 @p9) :args (false (@list false false false false false false true false) (@list @t48 @t39 @t63 @t21 @t68 @t59 @t51 @t35))) % 15.41/15.65 ) % 15.41/15.65 % SZS output end Proof % 15.41/15.65 % cvc5 exiting %------------------------------------------------------------------------------