%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYN036+1 : TPTP v9.2.1. Released v2.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n021.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 09:07:49 AM UTC 2026 % Result : Theorem 0.37s 0.57s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYN036+1 : TPTP v9.2.1. Released v2.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n021.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 23:19:05 EDT 2026 % 0.17/0.34 % CPUTime : % 0.31/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.37/0.57 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.37/0.57 % SZS status Theorem % 0.37/0.57 % SZS output start Proof % 0.37/0.57 ( % 0.37/0.57 (declare-sort $$unsorted 0) % 0.37/0.57 (declare-const tptp.big_q (-> $$unsorted Bool)) % 0.37/0.57 (declare-const tptp.big_p (-> $$unsorted Bool)) % 0.37/0.57 (define @t1 () (@var "W1" $$unsorted)) % 0.37/0.57 (define @t2 () (forall (@list @t1) (tptp.big_p @t1))) % 0.37/0.57 (define @t3 () (@var "U1" $$unsorted)) % 0.37/0.57 (define @t4 () (tptp.big_p @t3)) % 0.37/0.57 (define @t5 () (@list @t3)) % 0.37/0.57 (define @t6 () (exists @t5 @t4)) % 0.37/0.57 (define @t7 () (= @t6 @t2)) % 0.37/0.57 (define @t8 () (@var "Y1" $$unsorted)) % 0.37/0.57 (define @t9 () (tptp.big_q @t8)) % 0.37/0.57 (define @t10 () (@var "X1" $$unsorted)) % 0.37/0.57 (define @t11 () (@list @t8)) % 0.37/0.57 (define @t12 () (forall @t11 (= (tptp.big_q @t10) @t9))) % 0.37/0.57 (define @t13 () (@list @t10)) % 0.37/0.57 (define @t14 () (exists @t13 @t12)) % 0.37/0.57 (define @t15 () (= @t14 @t7)) % 0.37/0.57 (define @t16 () (@var "W" $$unsorted)) % 0.37/0.57 (define @t17 () (forall (@list @t16) (tptp.big_q @t16))) % 0.37/0.57 (define @t18 () (@var "U" $$unsorted)) % 0.37/0.57 (define @t19 () (tptp.big_q @t18)) % 0.37/0.57 (define @t20 () (@list @t18)) % 0.37/0.57 (define @t21 () (exists @t20 @t19)) % 0.37/0.57 (define @t22 () (= @t21 @t17)) % 0.37/0.57 (define @t23 () (@var "Y" $$unsorted)) % 0.37/0.57 (define @t24 () (tptp.big_p @t23)) % 0.37/0.57 (define @t25 () (@var "X" $$unsorted)) % 0.37/0.57 (define @t26 () (@list @t23)) % 0.37/0.57 (define @t27 () (forall @t26 (= (tptp.big_p @t25) @t24))) % 0.37/0.57 (define @t28 () (@list @t25)) % 0.37/0.57 (define @t29 () (exists @t28 @t27)) % 0.37/0.57 (define @t30 () (= @t29 @t22)) % 0.37/0.57 (define @t31 () (= @t30 @t15)) % 0.37/0.57 (define @t32 () (not @t31)) % 0.37/0.57 (define @t33 () (forall @t28 (not @t27))) % 0.37/0.57 (define @t34 () (@quantifiers_skolemize @t33 0)) % 0.37/0.57 (define @t35 () (tptp.big_p @t34)) % 0.37/0.57 (define @t36 () (forall @t26 (= @t24 @t35))) % 0.37/0.57 (define @t37 () (not @t33)) % 0.37/0.57 (define @t38 () (not @t37)) % 0.37/0.57 (define @t39 () (forall @t26 (= @t35 @t24))) % 0.37/0.57 (define @t40 () (not (not @t39))) % 0.37/0.57 (define @t41 () (forall @t5 (not @t4))) % 0.37/0.57 (define @t42 () (@quantifiers_skolemize @t41 0)) % 0.37/0.57 (define @t43 () (tptp.big_p @t42)) % 0.37/0.57 (define @t44 () (= @t43 @t35)) % 0.37/0.57 (define @t45 () (@quantifiers_skolemize @t2 0)) % 0.37/0.57 (define @t46 () (tptp.big_p @t45)) % 0.37/0.57 (define @t47 () (= @t46 @t35)) % 0.37/0.57 (define @t48 () (@list @t45)) % 0.37/0.57 (define @t49 () (forall @t20 (not @t19))) % 0.37/0.57 (define @t50 () (forall @t13 (not @t12))) % 0.37/0.57 (define @t51 () (@quantifiers_skolemize @t50 0)) % 0.37/0.57 (define @t52 () (@list @t51)) % 0.37/0.57 (define @t53 () (tptp.big_q @t51)) % 0.37/0.57 (define @t54 () (not @t53)) % 0.37/0.57 (define @t55 () (not @t41)) % 0.37/0.57 (define @t56 () (not @t50)) % 0.37/0.57 (define @t57 () (not @t49)) % 0.37/0.57 (define @t58 () (= @t2 @t55)) % 0.37/0.57 (define @t59 () (not @t58)) % 0.37/0.57 (define @t60 () (= @t56 @t58)) % 0.37/0.57 (define @t61 () (not @t56)) % 0.37/0.57 (define @t62 () (= @t17 @t57)) % 0.37/0.57 (define @t63 () (= @t37 @t62)) % 0.37/0.57 (define @t64 () (not @t63)) % 0.37/0.57 (define @t65 () (forall @t11 (= @t53 @t9))) % 0.37/0.57 (define @t66 () (not @t65)) % 0.37/0.57 (define @t67 () (not @t62)) % 0.37/0.57 (define @t68 () (not @t57)) % 0.37/0.57 (define @t69 () (forall @t11 (= @t9 @t53))) % 0.37/0.57 (define @t70 () (@quantifiers_skolemize @t69 0)) % 0.37/0.57 (define @t71 () (tptp.big_q @t70)) % 0.37/0.57 (define @t72 () (= @t53 @t71)) % 0.37/0.57 (define @t73 () (not @t72)) % 0.37/0.57 (define @t74 () (not @t69)) % 0.37/0.57 (define @t75 () (not (= @t71 @t53))) % 0.37/0.57 (define @t76 () (@list @t70)) % 0.37/0.57 (define @t77 () (not @t71)) % 0.37/0.57 (define @t78 () (not @t60)) % 0.37/0.57 (define @t79 () (not @t66)) % 0.37/0.57 (define @t80 () (not @t17)) % 0.37/0.57 (define @t81 () (@quantifiers_skolemize @t17 0)) % 0.37/0.57 (define @t82 () (tptp.big_q @t81)) % 0.37/0.57 (define @t83 () (not @t82)) % 0.37/0.57 (define @t84 () (= @t53 @t82)) % 0.37/0.57 (define @t85 () (= @t82 @t53)) % 0.37/0.57 (define @t86 () (@list @t81)) % 0.37/0.57 (define @t87 () (@quantifiers_skolemize @t49 0)) % 0.37/0.57 (define @t88 () (tptp.big_q @t87)) % 0.37/0.57 (define @t89 () (= @t88 @t53)) % 0.37/0.57 (define @t90 () (= @t53 @t88)) % 0.37/0.57 (define @t91 () (not @t88)) % 0.37/0.57 (define @t92 () (not @t91)) % 0.37/0.57 (define @t93 () (= @t35 @t46)) % 0.37/0.57 (define @t94 () (not @t93)) % 0.37/0.57 (define @t95 () (not @t35)) % 0.37/0.57 (define @t96 () (= @t35 @t43)) % 0.37/0.57 (define @t97 () (not @t96)) % 0.37/0.57 (define @t98 () (not @t43)) % 0.37/0.57 (define @t99 () (not @t55)) % 0.37/0.57 (define @t100 () (not @t98)) % 0.37/0.57 (define @t101 () (not @t46)) % 0.37/0.57 (define @t102 () (not @t2)) % 0.37/0.57 (define @t103 () (tptp.big_p @t81)) % 0.37/0.57 (define @t104 () (forall @t26 (= @t103 @t24))) % 0.37/0.57 (define @t105 () (not @t104)) % 0.37/0.57 (define @t106 () (forall @t26 (= @t24 @t103))) % 0.37/0.57 (define @t107 () (not @t106)) % 0.37/0.57 (define @t108 () (@list false)) % 0.37/0.57 (define @t109 () (@quantifiers_skolemize @t106 0)) % 0.37/0.57 (define @t110 () (tptp.big_p @t109)) % 0.37/0.57 (define @t111 () (= @t103 @t110)) % 0.37/0.57 (define @t112 () (not @t111)) % 0.37/0.57 (define @t113 () (not (= @t110 @t103))) % 0.37/0.57 (define @t114 () (@list @t109)) % 0.37/0.57 (define @t115 () (not @t110)) % 0.37/0.57 (define @t116 () (not @t103)) % 0.37/0.57 (define @t117 () (@list true false)) % 0.37/0.57 (define @t118 () (@list @t41)) % 0.37/0.57 (define @t119 () (@list true true)) % 0.37/0.57 (define @t120 () (= @t35 @t103)) % 0.37/0.57 (define @t121 () (not @t120)) % 0.37/0.57 (define @t122 () (@quantifiers_skolemize @t36 0)) % 0.37/0.57 (define @t123 () (tptp.big_p @t122)) % 0.37/0.57 (define @t124 () (not @t123)) % 0.37/0.57 (define @t125 () (= @t35 @t123)) % 0.37/0.57 (define @t126 () (not @t125)) % 0.37/0.57 (define @t127 () (not @t36)) % 0.37/0.57 (define @t128 () (not (= @t123 @t35))) % 0.37/0.57 (define @t129 () (= @t103 @t35)) % 0.37/0.57 (assume @p1 @t32) % 0.37/0.57 (assume @p2 true) % 0.37/0.57 (step @p3 :rule refl :args (@t36)) % 0.37/0.57 (step @p4 :rule bool-double-not-elim :args (@t33)) % 0.37/0.57 (step @p5 :rule nary_cong :premises (@p4 @p3) :args ((or @t38 @t36))) % 0.37/0.57 (step @p6 :rule eq-symm :args (@t35 @t24)) % 0.37/0.57 (step @p7 :rule cong :premises (@p6) :args (@t39)) % 0.37/0.57 (step @p8 :rule bool-double-not-elim :args (@t39)) % 0.37/0.57 (step @p9 :rule trans :premises (@p8 @p7)) % 0.37/0.57 (step @p10 :rule refl :args (@t37)) % 0.37/0.57 (step @p11 :rule cong :premises (@p10 @p9) :args ((=> @t37 @t40))) % 0.37/0.57 (assume-push @p347 @t37) % 0.37/0.57 (step @p13 :rule skolemize :premises (@p347)) % 0.37/0.57 (step-pop @p348 :rule scope :premises (@p13)) % 0.37/0.57 (step @p14 :rule process_scope :premises (@p348) :args (@t40)) % 0.37/0.57 (step @p16 :rule eq_resolve :premises (@p14 @p11)) % 0.37/0.57 (step @p17 :rule implies_elim :premises (@p16)) % 0.37/0.57 (step @p18 :rule eq_resolve :premises (@p17 @p5)) % 0.37/0.57 (step @p19 :rule eq-symm :args (@t43 @t35)) % 0.37/0.57 (step @p20 :rule cong :premises (@p3 @p19) :args ((=> @t36 @t44))) % 0.37/0.57 (assume-push @p349 @t36) % 0.37/0.57 (step @p22 :rule instantiate :premises (@p349) :args ((@list @t42))) % 0.37/0.57 (step-pop @p350 :rule scope :premises (@p22)) % 0.37/0.57 (step @p23 :rule process_scope :premises (@p350) :args (@t44)) % 0.37/0.57 (step @p25 :rule eq_resolve :premises (@p23 @p20)) % 0.37/0.57 (step @p26 :rule implies_elim :premises (@p25)) % 0.37/0.57 (step @p27 :rule eq-symm :args (@t46 @t35)) % 0.37/0.57 (step @p28 :rule cong :premises (@p3 @p27) :args ((=> @t36 @t47))) % 0.37/0.57 (assume-push @p351 @t36) % 0.37/0.57 (step @p30 :rule instantiate :premises (@p351) :args (@t48)) % 0.37/0.57 (step-pop @p352 :rule scope :premises (@p30)) % 0.37/0.57 (step @p31 :rule process_scope :premises (@p352) :args (@t47)) % 0.37/0.57 (step @p33 :rule eq_resolve :premises (@p31 @p28)) % 0.37/0.57 (step @p34 :rule implies_elim :premises (@p33)) % 0.37/0.57 (assume-push @p353 @t49) % 0.37/0.57 (step @p36 :rule instantiate :premises (@p353) :args (@t52)) % 0.37/0.57 (step-pop @p354 :rule scope :premises (@p36)) % 0.37/0.57 (step @p37 :rule process_scope :premises (@p354) :args (@t54)) % 0.37/0.57 (step @p39 :rule implies_elim :premises (@p37)) % 0.37/0.57 (step @p40 :rule eq-symm :args (@t55 @t2)) % 0.37/0.57 (step @p41 :rule refl :args (@t2)) % 0.37/0.57 (step @p42 :rule exists-elim :args ((= @t6 @t55))) % 0.37/0.57 (step @p43 :rule cong :premises (@p42 @p41) :args (@t7)) % 0.37/0.57 (step @p44 :rule trans :premises (@p43 @p40)) % 0.37/0.57 (step @p45 :rule exists-elim :args ((= @t14 @t56))) % 0.37/0.57 (step @p46 :rule cong :premises (@p45 @p44) :args (@t15)) % 0.37/0.57 (step @p47 :rule eq-symm :args (@t57 @t17)) % 0.37/0.57 (step @p48 :rule refl :args (@t17)) % 0.37/0.57 (step @p49 :rule exists-elim :args ((= @t21 @t57))) % 0.37/0.57 (step @p50 :rule cong :premises (@p49 @p48) :args (@t22)) % 0.37/0.57 (step @p51 :rule trans :premises (@p50 @p47)) % 0.37/0.57 (step @p52 :rule exists-elim :args ((= @t29 @t37))) % 0.37/0.57 (step @p53 :rule cong :premises (@p52 @p51) :args (@t30)) % 0.37/0.57 (step @p54 :rule cong :premises (@p53 @p46) :args (@t31)) % 0.37/0.57 (step @p55 :rule cong :premises (@p54) :args (@t32)) % 0.37/0.57 (step @p56 :rule eq_resolve :premises (@p1 @p55)) % 0.37/0.57 (step @p57 :rule not_equiv_elim1 :premises (@p56)) % 0.37/0.57 (step @p58 :rule refl :args (@t59)) % 0.37/0.57 (step @p59 :rule bool-double-not-elim :args (@t50)) % 0.37/0.57 (step @p60 :rule refl :args (@t60)) % 0.37/0.57 (step @p61 :rule nary_cong :premises (@p60 @p59 @p58) :args ((or @t60 @t61 @t59))) % 0.37/0.57 (step @p62 :rule cnf_equiv_neg2 :args (@t60)) % 0.37/0.57 (step @p63 :rule eq_resolve :premises (@p62 @p61)) % 0.37/0.57 (step @p64 :rule reordering :premises (@p63) :args ((or @t50 @t60 @t59))) % 0.37/0.57 (step @p65 :rule refl :args (@t62)) % 0.37/0.57 (step @p66 :rule refl :args (@t64)) % 0.37/0.57 (step @p67 :rule nary_cong :premises (@p66 @p4 @p65) :args ((or @t64 @t38 @t62))) % 0.37/0.57 (step @p68 :rule cnf_equiv_pos1 :args (@t63)) % 0.37/0.57 (step @p69 :rule eq_resolve :premises (@p68 @p67)) % 0.37/0.57 (step @p70 :rule reordering :premises (@p69) :args ((or @t33 @t62 @t64))) % 0.37/0.57 (step @p71 :rule eq-symm :args (@t53 @t9)) % 0.37/0.57 (step @p72 :rule cong :premises (@p71) :args (@t65)) % 0.37/0.57 (step @p73 :rule cong :premises (@p72) :args (@t66)) % 0.37/0.57 (step @p74 :rule refl :args (@t50)) % 0.37/0.57 (step @p75 :rule cong :premises (@p74 @p73) :args ((=> @t50 @t66))) % 0.37/0.57 (assume-push @p355 @t50) % 0.37/0.57 (step @p77 :rule instantiate :premises (@p355) :args (@t52)) % 0.37/0.57 (step-pop @p356 :rule scope :premises (@p77)) % 0.37/0.57 (step @p78 :rule process_scope :premises (@p356) :args (@t66)) % 0.37/0.57 (step @p80 :rule eq_resolve :premises (@p78 @p75)) % 0.37/0.57 (step @p81 :rule implies_elim :premises (@p80)) % 0.37/0.57 (step @p82 :rule bool-double-not-elim :args (@t49)) % 0.37/0.57 (step @p83 :rule refl :args (@t67)) % 0.37/0.57 (step @p84 :rule nary_cong :premises (@p83 @p48 @p82) :args ((or @t67 @t17 @t68))) % 0.37/0.57 (step @p85 :rule cnf_equiv_pos2 :args (@t62)) % 0.37/0.57 (step @p86 :rule eq_resolve :premises (@p85 @p84)) % 0.37/0.57 (step @p87 :rule reordering :premises (@p86) :args ((or @t17 @t49 @t67))) % 0.37/0.57 (step @p88 :rule refl :args (@t73)) % 0.37/0.57 (step @p89 :rule bool-double-not-elim :args (@t69)) % 0.37/0.57 (step @p90 :rule nary_cong :premises (@p89 @p88) :args ((or (not @t74) @t73))) % 0.37/0.57 (step @p91 :rule eq-symm :args (@t71 @t53)) % 0.37/0.57 (step @p92 :rule cong :premises (@p91) :args (@t75)) % 0.37/0.57 (step @p93 :rule refl :args (@t74)) % 0.37/0.57 (step @p94 :rule cong :premises (@p93 @p92) :args ((=> @t74 @t75))) % 0.37/0.57 (assume-push @p357 @t74) % 0.37/0.57 (step @p96 :rule skolemize :premises (@p357)) % 0.37/0.57 (step-pop @p358 :rule scope :premises (@p96)) % 0.37/0.57 (step @p97 :rule process_scope :premises (@p358) :args (@t75)) % 0.37/0.57 (step @p99 :rule eq_resolve :premises (@p97 @p94)) % 0.37/0.57 (step @p100 :rule implies_elim :premises (@p99)) % 0.37/0.57 (step @p101 :rule eq_resolve :premises (@p100 @p90)) % 0.37/0.57 (assume-push @p359 @t17) % 0.37/0.57 (step @p103 :rule instantiate :premises (@p359) :args (@t76)) % 0.37/0.57 (step-pop @p360 :rule scope :premises (@p103)) % 0.37/0.57 (step @p104 :rule process_scope :premises (@p360) :args (@t71)) % 0.37/0.57 (step @p106 :rule implies_elim :premises (@p104)) % 0.37/0.57 (step @p107 :rule cnf_equiv_neg2 :args (@t72)) % 0.37/0.57 (step @p108 :rule reordering :premises (@p107) :args ((or @t54 @t72 @t77))) % 0.37/0.57 (step @p109 :rule chain_m_resolution :premises (@p108 @p106 @p101 @p87 @p81 @p70 @p64 @p57 @p39) :args ((or @t33 @t60 @t59 @t54) (@list false true false true false false false true) (@list @t71 @t72 @t17 @t69 @t62 @t50 @t63 @t49))) % 0.37/0.57 (step @p110 :rule not_equiv_elim2 :premises (@p56)) % 0.37/0.57 (step @p111 :rule cnf_equiv_pos2 :args (@t60)) % 0.37/0.57 (step @p112 :rule reordering :premises (@p111) :args ((or @t56 @t59 @t78))) % 0.37/0.57 (step @p113 :rule refl :args (@t63)) % 0.37/0.57 (step @p114 :rule nary_cong :premises (@p113 @p4 @p83) :args ((or @t63 @t38 @t67))) % 0.37/0.57 (step @p115 :rule cnf_equiv_neg2 :args (@t63)) % 0.37/0.57 (step @p116 :rule eq_resolve :premises (@p115 @p114)) % 0.37/0.57 (step @p117 :rule reordering :premises (@p116) :args ((or @t33 @t63 @t67))) % 0.37/0.57 (step @p118 :rule refl :args (@t69)) % 0.37/0.57 (step @p119 :rule nary_cong :premises (@p59 @p118) :args ((or @t61 @t69))) % 0.37/0.57 (step @p120 :rule bool-double-not-elim :args (@t65)) % 0.37/0.57 (step @p121 :rule trans :premises (@p120 @p72)) % 0.37/0.57 (step @p122 :rule refl :args (@t56)) % 0.37/0.57 (step @p123 :rule cong :premises (@p122 @p121) :args ((=> @t56 @t79))) % 0.37/0.57 (assume-push @p361 @t56) % 0.37/0.57 (step @p125 :rule skolemize :premises (@p361)) % 0.37/0.57 (step-pop @p362 :rule scope :premises (@p125)) % 0.37/0.57 (step @p126 :rule process_scope :premises (@p362) :args (@t79)) % 0.37/0.57 (step @p128 :rule eq_resolve :premises (@p126 @p123)) % 0.37/0.57 (step @p129 :rule implies_elim :premises (@p128)) % 0.37/0.57 (step @p130 :rule eq_resolve :premises (@p129 @p119)) % 0.37/0.57 (step @p131 :rule refl :args (@t80)) % 0.37/0.57 (step @p132 :rule nary_cong :premises (@p65 @p131 @p82) :args ((or @t62 @t80 @t68))) % 0.37/0.57 (step @p133 :rule cnf_equiv_neg2 :args (@t62)) % 0.37/0.57 (step @p134 :rule eq_resolve :premises (@p133 @p132)) % 0.37/0.57 (step @p135 :rule reordering :premises (@p134) :args ((or @t49 @t62 @t80))) % 0.37/0.57 (step @p136 :rule refl :args (@t83)) % 0.37/0.57 (step @p137 :rule bool-double-not-elim :args (@t17)) % 0.37/0.57 (step @p138 :rule nary_cong :premises (@p137 @p136) :args ((or (not @t80) @t83))) % 0.37/0.57 (assume-push @p363 @t80) % 0.37/0.57 (step @p140 :rule skolemize :premises (@p363)) % 0.37/0.57 (step-pop @p364 :rule scope :premises (@p140)) % 0.37/0.57 (step @p141 :rule process_scope :premises (@p364) :args (@t83)) % 0.37/0.57 (step @p143 :rule implies_elim :premises (@p141)) % 0.37/0.57 (step @p144 :rule eq_resolve :premises (@p143 @p138)) % 0.37/0.57 (step @p145 :rule cnf_equiv_pos1 :args (@t84)) % 0.37/0.57 (step @p146 :rule reordering :premises (@p145) :args ((or @t54 @t82 (not @t84)))) % 0.37/0.57 (step @p147 :rule eq-symm :args (@t82 @t53)) % 0.37/0.57 (step @p148 :rule cong :premises (@p118 @p147) :args ((=> @t69 @t85))) % 0.37/0.57 (assume-push @p365 @t69) % 0.37/0.57 (step @p150 :rule instantiate :premises (@p365) :args (@t86)) % 0.37/0.57 (step-pop @p366 :rule scope :premises (@p150)) % 0.37/0.57 (step @p151 :rule process_scope :premises (@p366) :args (@t85)) % 0.37/0.57 (step @p153 :rule eq_resolve :premises (@p151 @p148)) % 0.37/0.57 (step @p154 :rule implies_elim :premises (@p153)) % 0.37/0.57 (step @p155 :rule chain_m_resolution :premises (@p154 @p146 @p144 @p135 @p130 @p117 @p112 @p110 @p109 @p39) :args ((or @t33 @t59 @t54) (@list true true true false true true true false true) (@list @t84 @t82 @t17 @t69 @t62 @t50 @t63 @t60 @t49))) % 0.37/0.57 (assume-push @p367 @t17) % 0.37/0.57 (step @p157 :rule instantiate :premises (@p367) :args (@t52)) % 0.37/0.57 (step-pop @p368 :rule scope :premises (@p157)) % 0.37/0.57 (step @p158 :rule process_scope :premises (@p368) :args (@t53)) % 0.37/0.57 (step @p160 :rule implies_elim :premises (@p158)) % 0.37/0.57 (step @p161 :rule eq-symm :args (@t88 @t53)) % 0.37/0.57 (step @p162 :rule cong :premises (@p118 @p161) :args ((=> @t69 @t89))) % 0.37/0.57 (assume-push @p369 @t69) % 0.37/0.57 (step @p164 :rule instantiate :premises (@p369) :args ((@list @t87))) % 0.37/0.57 (step-pop @p370 :rule scope :premises (@p164)) % 0.37/0.57 (step @p165 :rule process_scope :premises (@p370) :args (@t89)) % 0.37/0.57 (step @p167 :rule eq_resolve :premises (@p165 @p162)) % 0.37/0.57 (step @p168 :rule implies_elim :premises (@p167)) % 0.37/0.57 (step @p169 :rule cnf_equiv_pos2 :args (@t90)) % 0.37/0.57 (step @p170 :rule reordering :premises (@p169) :args ((or @t53 @t91 (not @t90)))) % 0.37/0.57 (step @p171 :rule refl :args (@t88)) % 0.37/0.57 (step @p172 :rule nary_cong :premises (@p82 @p171) :args ((or @t68 @t88))) % 0.37/0.57 (step @p173 :rule bool-double-not-elim :args (@t88)) % 0.37/0.57 (step @p174 :rule refl :args (@t57)) % 0.37/0.57 (step @p175 :rule cong :premises (@p174 @p173) :args ((=> @t57 @t92))) % 0.37/0.57 (assume-push @p371 @t57) % 0.37/0.57 (step @p177 :rule skolemize :premises (@p371)) % 0.37/0.57 (step-pop @p372 :rule scope :premises (@p177)) % 0.37/0.57 (step @p178 :rule process_scope :premises (@p372) :args (@t92)) % 0.37/0.57 (step @p180 :rule eq_resolve :premises (@p178 @p175)) % 0.37/0.57 (step @p181 :rule implies_elim :premises (@p180)) % 0.37/0.57 (step @p182 :rule eq_resolve :premises (@p181 @p172)) % 0.37/0.57 (step @p183 :rule cnf_equiv_neg1 :args (@t62)) % 0.37/0.57 (step @p184 :rule reordering :premises (@p183) :args ((or @t17 @t57 @t62))) % 0.37/0.57 (step @p185 :rule chain_m_resolution :premises (@p117 @p184 @p110 @p182 @p64 @p170 @p81 @p168 @p160 @p155) :args ((or @t33 @t59 @t74) (@list false true false false true true false true true) (@list @t62 @t63 @t49 @t60 @t88 @t50 @t90 @t17 @t53))) % 0.37/0.57 (step @p186 :rule cnf_equiv_neg1 :args (@t72)) % 0.37/0.57 (step @p187 :rule reordering :premises (@p186) :args ((or @t53 @t71 @t72))) % 0.37/0.57 (assume-push @p373 @t49) % 0.37/0.57 (step @p189 :rule instantiate :premises (@p373) :args (@t76)) % 0.37/0.57 (step-pop @p374 :rule scope :premises (@p189)) % 0.37/0.57 (step @p190 :rule process_scope :premises (@p374) :args (@t77)) % 0.37/0.57 (step @p192 :rule implies_elim :premises (@p190)) % 0.37/0.57 (step @p193 :rule chain_m_resolution :premises (@p192 @p87 @p70 @p57 @p187 @p112 @p101 @p130 @p185 @p160 @p155) :args ((or @t33 @t59) (@list false false false false true true false true true true) (@list @t49 @t62 @t63 @t71 @t60 @t72 @t50 @t69 @t17 @t53))) % 0.37/0.57 (step @p194 :rule cnf_equiv_pos1 :args (@t93)) % 0.37/0.57 (step @p195 :rule reordering :premises (@p194) :args ((or @t46 @t95 @t94))) % 0.37/0.57 (assume-push @p375 @t2) % 0.37/0.57 (step @p197 :rule instantiate :premises (@p375) :args (@t48)) % 0.37/0.57 (step-pop @p376 :rule scope :premises (@p197)) % 0.37/0.57 (step @p198 :rule process_scope :premises (@p376) :args (@t46)) % 0.37/0.57 (step @p200 :rule implies_elim :premises (@p198)) % 0.37/0.57 (step @p201 :rule cnf_equiv_pos2 :args (@t96)) % 0.37/0.57 (step @p202 :rule reordering :premises (@p201) :args ((or @t35 @t98 @t97))) % 0.37/0.57 (step @p203 :rule cnf_equiv_neg1 :args (@t58)) % 0.37/0.57 (step @p204 :rule reordering :premises (@p203) :args ((or @t2 @t55 @t58))) % 0.37/0.57 (step @p205 :rule refl :args (@t43)) % 0.37/0.57 (step @p206 :rule bool-double-not-elim :args (@t41)) % 0.37/0.57 (step @p207 :rule nary_cong :premises (@p206 @p205) :args ((or @t99 @t43))) % 0.37/0.57 (step @p208 :rule bool-double-not-elim :args (@t43)) % 0.37/0.57 (step @p209 :rule refl :args (@t55)) % 0.37/0.57 (step @p210 :rule cong :premises (@p209 @p208) :args ((=> @t55 @t100))) % 0.37/0.57 (assume-push @p377 @t55) % 0.37/0.57 (step @p212 :rule skolemize :premises (@p377)) % 0.37/0.57 (step-pop @p378 :rule scope :premises (@p212)) % 0.37/0.57 (step @p213 :rule process_scope :premises (@p378) :args (@t100)) % 0.37/0.57 (step @p215 :rule eq_resolve :premises (@p213 @p210)) % 0.37/0.57 (step @p216 :rule implies_elim :premises (@p215)) % 0.37/0.57 (step @p217 :rule eq_resolve :premises (@p216 @p207)) % 0.37/0.57 (step @p218 :rule chain_m_resolution :premises (@p217 @p204 @p202 @p200 @p195) :args ((or @t58 @t46 @t97 @t94) (@list true true true true) (@list @t41 @t43 @t2 @t35))) % 0.37/0.57 (step @p219 :rule refl :args (@t101)) % 0.37/0.57 (step @p220 :rule bool-double-not-elim :args (@t2)) % 0.37/0.57 (step @p221 :rule nary_cong :premises (@p220 @p219) :args ((or (not @t102) @t101))) % 0.37/0.57 (assume-push @p379 @t102) % 0.37/0.57 (step @p223 :rule skolemize :premises (@p379)) % 0.37/0.57 (step-pop @p380 :rule scope :premises (@p223)) % 0.37/0.57 (step @p224 :rule process_scope :premises (@p380) :args (@t101)) % 0.37/0.57 (step @p226 :rule implies_elim :premises (@p224)) % 0.37/0.57 (step @p227 :rule eq_resolve :premises (@p226 @p221)) % 0.37/0.57 (step @p228 :rule cnf_equiv_pos2 :args (@t93)) % 0.37/0.57 (step @p229 :rule reordering :premises (@p228) :args ((or @t35 @t101 @t94))) % 0.37/0.57 (step @p230 :rule refl :args (@t102)) % 0.37/0.57 (step @p231 :rule refl :args (@t58)) % 0.37/0.57 (step @p232 :rule nary_cong :premises (@p231 @p230 @p206) :args ((or @t58 @t102 @t99))) % 0.37/0.57 (step @p233 :rule cnf_equiv_neg2 :args (@t58)) % 0.37/0.57 (step @p234 :rule eq_resolve :premises (@p233 @p232)) % 0.37/0.57 (step @p235 :rule reordering :premises (@p234) :args ((or @t41 @t58 @t102))) % 0.37/0.57 (assume-push @p381 @t41) % 0.37/0.57 (step @p237 :rule instantiate :premises (@p381) :args ((@list @t34))) % 0.37/0.57 (step-pop @p382 :rule scope :premises (@p237)) % 0.37/0.57 (step @p238 :rule process_scope :premises (@p382) :args (@t95)) % 0.37/0.57 (step @p240 :rule implies_elim :premises (@p238)) % 0.37/0.57 (step @p241 :rule chain_m_resolution :premises (@p240 @p235 @p229 @p227 @p218 @p193 @p34 @p26 @p18) :args (@t33 (@list false false false false true false false false) (@list @t41 @t35 @t2 @t46 @t58 @t93 @t96 @t36))) % 0.37/0.57 (step @p242 :rule eq-symm :args (@t103 @t24)) % 0.37/0.57 (step @p243 :rule cong :premises (@p242) :args (@t104)) % 0.37/0.57 (step @p244 :rule cong :premises (@p243) :args (@t105)) % 0.37/0.57 (step @p245 :rule refl :args (@t33)) % 0.37/0.57 (step @p246 :rule cong :premises (@p245 @p244) :args ((=> @t33 @t105))) % 0.37/0.57 (assume-push @p383 @t33) % 0.37/0.57 (step @p248 :rule instantiate :premises (@p383) :args (@t86)) % 0.37/0.57 (step-pop @p384 :rule scope :premises (@p248)) % 0.37/0.57 (step @p249 :rule process_scope :premises (@p384) :args (@t105)) % 0.37/0.57 (step @p251 :rule eq_resolve :premises (@p249 @p246)) % 0.37/0.57 (step @p252 :rule implies_elim :premises (@p251)) % 0.37/0.57 (step @p253 :rule chain_m_resolution :premises (@p252 @p241) :args (@t107 @t108 (@list @t33))) % 0.37/0.57 (step @p254 :rule refl :args (@t112)) % 0.37/0.57 (step @p255 :rule bool-double-not-elim :args (@t106)) % 0.37/0.57 (step @p256 :rule nary_cong :premises (@p255 @p254) :args ((or (not @t107) @t112))) % 0.37/0.57 (step @p257 :rule eq-symm :args (@t110 @t103)) % 0.37/0.57 (step @p258 :rule cong :premises (@p257) :args (@t113)) % 0.37/0.57 (step @p259 :rule refl :args (@t107)) % 0.37/0.57 (step @p260 :rule cong :premises (@p259 @p258) :args ((=> @t107 @t113))) % 0.37/0.57 (assume-push @p385 @t107) % 0.37/0.57 (step @p262 :rule skolemize :premises (@p385)) % 0.37/0.57 (step-pop @p386 :rule scope :premises (@p262)) % 0.37/0.57 (step @p263 :rule process_scope :premises (@p386) :args (@t113)) % 0.37/0.57 (step @p265 :rule eq_resolve :premises (@p263 @p260)) % 0.37/0.57 (step @p266 :rule implies_elim :premises (@p265)) % 0.37/0.57 (step @p267 :rule eq_resolve :premises (@p266 @p256)) % 0.37/0.57 (step @p268 :rule chain_m_resolution :premises (@p267 @p253) :args (@t112 (@list true) (@list @t106))) % 0.37/0.57 (step @p269 :rule cnf_equiv_pos2 :args (@t63)) % 0.37/0.57 (step @p270 :rule reordering :premises (@p269) :args ((or @t37 @t67 @t64))) % 0.37/0.57 (step @p271 :rule refl :args (@t78)) % 0.37/0.57 (step @p272 :rule nary_cong :premises (@p271 @p59 @p231) :args ((or @t78 @t61 @t58))) % 0.37/0.57 (step @p273 :rule cnf_equiv_pos1 :args (@t60)) % 0.37/0.57 (step @p274 :rule eq_resolve :premises (@p273 @p272)) % 0.37/0.57 (step @p275 :rule reordering :premises (@p274) :args ((or @t50 @t58 @t78))) % 0.37/0.57 (step @p276 :rule chain_m_resolution :premises (@p275 @p81 @p57 @p101 @p270 @p241 @p187 @p184 @p192 @p39) :args ((or @t17 @t57 @t58) (@list true false false true false false false true true) (@list @t50 @t60 @t69 @t63 @t33 @t72 @t62 @t71 @t53))) % 0.37/0.57 (step @p277 :rule cnf_equiv_neg1 :args (@t63)) % 0.37/0.57 (step @p278 :rule reordering :premises (@p277) :args ((or @t37 @t62 @t63))) % 0.37/0.57 (step @p279 :rule cnf_equiv_neg1 :args (@t60)) % 0.37/0.57 (step @p280 :rule reordering :premises (@p279) :args ((or @t56 @t58 @t60))) % 0.37/0.57 (step @p281 :rule chain_m_resolution :premises (@p146 @p170 @p154 @p168 @p130 @p280 @p110 @p278 @p241 @p87 @p182 @p276 @p144) :args ((or @t17 @t58) (@list false false false false true true false false true false true true) (@list @t53 @t84 @t90 @t69 @t50 @t60 @t63 @t33 @t62 @t88 @t49 @t82))) % 0.37/0.57 (step @p282 :rule chain_m_resolution :premises (@p275 @p57 @p81 @p270 @p241 @p101 @p135 @p108 @p39 @p106 @p160 @p281) :args (@t58 (@list false true true false false false false true false false false) (@list @t60 @t50 @t63 @t33 @t69 @t62 @t72 @t49 @t71 @t53 @t17))) % 0.37/0.57 (assume-push @p387 @t2) % 0.37/0.57 (step @p284 :rule instantiate :premises (@p387) :args (@t114)) % 0.37/0.57 (step-pop @p388 :rule scope :premises (@p284)) % 0.37/0.57 (step @p285 :rule process_scope :premises (@p388) :args (@t110)) % 0.37/0.57 (step @p287 :rule implies_elim :premises (@p285)) % 0.37/0.57 (step @p288 :rule cnf_equiv_neg2 :args (@t111)) % 0.37/0.57 (step @p289 :rule reordering :premises (@p288) :args ((or @t116 @t111 @t115))) % 0.37/0.57 (assume-push @p389 @t2) % 0.37/0.57 (step @p291 :rule instantiate :premises (@p389) :args (@t86)) % 0.37/0.57 (step-pop @p390 :rule scope :premises (@p291)) % 0.37/0.57 (step @p292 :rule process_scope :premises (@p390) :args (@t103)) % 0.37/0.57 (step @p294 :rule implies_elim :premises (@p292)) % 0.37/0.57 (step @p295 :rule chain_m_resolution :premises (@p294 @p289 @p268 @p287) :args (@t102 (@list true true false) (@list @t103 @t111 @t110))) % 0.37/0.57 (step @p296 :rule nary_cong :premises (@p58 @p41 @p206) :args ((or @t59 @t2 @t99))) % 0.37/0.57 (step @p297 :rule cnf_equiv_pos2 :args (@t58)) % 0.37/0.57 (step @p298 :rule eq_resolve :premises (@p297 @p296)) % 0.37/0.57 (step @p299 :rule reordering :premises (@p298) :args ((or @t2 @t41 @t59))) % 0.37/0.57 (step @p300 :rule chain_m_resolution :premises (@p299 @p295 @p282) :args (@t41 @t117 (@list @t2 @t58))) % 0.37/0.57 (assume-push @p391 @t41) % 0.37/0.57 (step @p302 :rule instantiate :premises (@p391) :args (@t114)) % 0.37/0.57 (step-pop @p392 :rule scope :premises (@p302)) % 0.37/0.57 (step @p303 :rule process_scope :premises (@p392) :args (@t115)) % 0.37/0.57 (step @p305 :rule implies_elim :premises (@p303)) % 0.37/0.57 (step @p306 :rule chain_m_resolution :premises (@p305 @p300) :args (@t115 @t108 @t118)) % 0.37/0.57 (step @p307 :rule cnf_equiv_neg1 :args (@t111)) % 0.37/0.57 (step @p308 :rule reordering :premises (@p307) :args ((or @t103 @t110 @t111))) % 0.37/0.57 (step @p309 :rule chain_m_resolution :premises (@p308 @p306 @p268) :args (@t103 @t119 (@list @t110 @t111))) % 0.37/0.57 (step @p310 :rule chain_m_resolution :premises (@p240 @p300) :args (@t95 @t108 @t118)) % 0.37/0.57 (step @p311 :rule cnf_equiv_pos2 :args (@t120)) % 0.37/0.57 (step @p312 :rule reordering :premises (@p311) :args ((or @t35 @t116 @t121))) % 0.37/0.57 (step @p313 :rule chain_m_resolution :premises (@p312 @p310 @p309) :args (@t121 @t117 (@list @t35 @t103))) % 0.37/0.57 (assume-push @p393 @t41) % 0.37/0.57 (step @p315 :rule instantiate :premises (@p393) :args ((@list @t122))) % 0.37/0.57 (step-pop @p394 :rule scope :premises (@p315)) % 0.37/0.57 (step @p316 :rule process_scope :premises (@p394) :args (@t124)) % 0.37/0.57 (step @p318 :rule implies_elim :premises (@p316)) % 0.37/0.57 (step @p319 :rule chain_m_resolution :premises (@p318 @p300) :args (@t124 @t108 @t118)) % 0.37/0.57 (step @p320 :rule cnf_equiv_neg1 :args (@t125)) % 0.37/0.57 (step @p321 :rule reordering :premises (@p320) :args ((or @t35 @t123 @t125))) % 0.37/0.57 (step @p322 :rule chain_m_resolution :premises (@p321 @p310 @p319) :args (@t125 @t119 (@list @t35 @t123))) % 0.37/0.57 (step @p323 :rule refl :args (@t126)) % 0.37/0.57 (step @p324 :rule bool-double-not-elim :args (@t36)) % 0.37/0.57 (step @p325 :rule nary_cong :premises (@p324 @p323) :args ((or (not @t127) @t126))) % 0.37/0.57 (step @p326 :rule eq-symm :args (@t123 @t35)) % 0.37/0.57 (step @p327 :rule cong :premises (@p326) :args (@t128)) % 0.37/0.57 (step @p328 :rule refl :args (@t127)) % 0.37/0.57 (step @p329 :rule cong :premises (@p328 @p327) :args ((=> @t127 @t128))) % 0.37/0.57 (assume-push @p395 @t127) % 0.37/0.57 (step @p331 :rule skolemize :premises (@p395)) % 0.37/0.57 (step-pop @p396 :rule scope :premises (@p331)) % 0.37/0.57 (step @p332 :rule process_scope :premises (@p396) :args (@t128)) % 0.37/0.57 (step @p334 :rule eq_resolve :premises (@p332 @p329)) % 0.37/0.57 (step @p335 :rule implies_elim :premises (@p334)) % 0.37/0.57 (step @p336 :rule eq_resolve :premises (@p335 @p325)) % 0.37/0.57 (step @p337 :rule chain_m_resolution :premises (@p336 @p322) :args (@t36 @t108 (@list @t125))) % 0.37/0.57 (step @p338 :rule eq-symm :args (@t103 @t35)) % 0.37/0.57 (step @p339 :rule cong :premises (@p3 @p338) :args ((=> @t36 @t129))) % 0.37/0.57 (assume-push @p397 @t36) % 0.37/0.57 (step @p341 :rule instantiate :premises (@p397) :args (@t86)) % 0.37/0.57 (step-pop @p398 :rule scope :premises (@p341)) % 0.37/0.57 (step @p342 :rule process_scope :premises (@p398) :args (@t129)) % 0.37/0.57 (step @p344 :rule eq_resolve :premises (@p342 @p339)) % 0.37/0.57 (step @p345 :rule implies_elim :premises (@p344)) % 0.37/0.57 (step @p346 false :rule chain_m_resolution :premises (@p345 @p337 @p313) :args (false (@list false true) (@list @t36 @t120))) % 0.37/0.57 ) % 0.37/0.57 % SZS output end Proof % 0.37/0.57 % cvc5 exiting %------------------------------------------------------------------------------