%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET611+3 : TPTP v9.2.1. Released v2.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n029.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 08:48:13 AM UTC 2026 % Result : Theorem 0.51s 0.73s % Output : Proof 0.51s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET611+3 : TPTP v9.2.1. Released v2.2.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.33 % Computer : n029.cluster.edu % 0.16/0.33 % Model : x86_64 x86_64 % 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.33 % Memory : 8042.1875MB % 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.33 % CPULimit : 300 % 0.16/0.33 % WCLimit : 300 % 0.16/0.33 % DateTime : Tue Jun 2 16:04:47 EDT 2026 % 0.16/0.33 % CPUTime : % 0.29/0.48 %----Proving TF0_NAR, FOF, or CNF % 0.51/0.73 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.51/0.73 % SZS status Theorem % 0.51/0.73 % SZS output start Proof % 0.51/0.73 ( % 0.51/0.73 (declare-sort $$unsorted 0) % 0.51/0.73 (declare-const tptp.empty (-> $$unsorted Bool)) % 0.51/0.73 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.51/0.73 (declare-const tptp.empty_set $$unsorted) % 0.51/0.73 (declare-const tptp.difference (-> $$unsorted $$unsorted $$unsorted)) % 0.51/0.73 (declare-const tptp.intersection (-> $$unsorted $$unsorted $$unsorted)) % 0.51/0.73 (declare-const tptp.member (-> $$unsorted $$unsorted Bool)) % 0.51/0.73 (define @t1 () (@var "C" $$unsorted)) % 0.51/0.73 (define @t2 () (@var "B" $$unsorted)) % 0.51/0.73 (define @t3 () (= @t2 @t1)) % 0.51/0.73 (define @t4 () (@var "D" $$unsorted)) % 0.51/0.73 (define @t5 () (tptp.member @t4 @t1)) % 0.51/0.73 (define @t6 () (tptp.member @t4 @t2)) % 0.51/0.73 (define @t7 () (@list @t4)) % 0.51/0.73 (define @t8 () (forall @t7 (= @t6 @t5))) % 0.51/0.73 (define @t9 () (@list @t2 @t1)) % 0.51/0.73 (define @t10 () (forall @t9 (=> @t8 @t3))) % 0.51/0.73 (define @t11 () (tptp.intersection @t2 @t1)) % 0.51/0.73 (define @t12 () (@list @t2 @t1 @t4)) % 0.51/0.73 (define @t13 () (tptp.difference @t2 @t1)) % 0.51/0.73 (define @t14 () (@list @t2)) % 0.51/0.73 (define @t15 () (forall @t14 (not (tptp.member @t2 tptp.empty_set)))) % 0.51/0.73 (define @t16 () (tptp.subset @t2 @t1)) % 0.51/0.73 (define @t17 () (forall @t7 (=> @t6 @t5))) % 0.51/0.73 (define @t18 () (= @t16 @t17)) % 0.51/0.73 (define @t19 () (forall @t9 @t18)) % 0.51/0.73 (define @t20 () (@list @t1)) % 0.51/0.73 (define @t21 () (= @t11 tptp.empty_set)) % 0.51/0.73 (define @t22 () (= @t21 (= @t13 @t2))) % 0.51/0.73 (define @t23 () (forall @t9 @t22)) % 0.51/0.73 (define @t24 () (not @t23)) % 0.51/0.73 (define @t25 () (forall @t9 (= @t21 (= @t2 @t13)))) % 0.51/0.73 (define @t26 () (@quantifiers_skolemize @t25 1)) % 0.51/0.73 (define @t27 () (@quantifiers_skolemize @t25 0)) % 0.51/0.73 (define @t28 () (tptp.intersection @t27 @t26)) % 0.51/0.73 (define @t29 () (tptp.member @t4 @t28)) % 0.51/0.73 (define @t30 () (forall @t7 (= @t29 (tptp.member @t4 tptp.empty_set)))) % 0.51/0.73 (define @t31 () (not @t30)) % 0.51/0.73 (define @t32 () (= @t28 tptp.empty_set)) % 0.51/0.73 (define @t33 () (or @t31 @t32)) % 0.51/0.73 (define @t34 () (forall @t9 (or (not @t8) @t3))) % 0.51/0.73 (define @t35 () (= tptp.empty_set @t28)) % 0.51/0.73 (define @t36 () (or @t31 @t35)) % 0.51/0.73 (define @t37 () (@list false)) % 0.51/0.73 (define @t38 () (tptp.difference @t27 @t26)) % 0.51/0.73 (define @t39 () (@list @t27 @t38)) % 0.51/0.73 (define @t40 () (tptp.member @t4 @t38)) % 0.51/0.73 (define @t41 () (tptp.member @t4 @t27)) % 0.51/0.73 (define @t42 () (forall @t7 (= @t41 @t40))) % 0.51/0.73 (define @t43 () (@quantifiers_skolemize @t42 0)) % 0.51/0.73 (define @t44 () (tptp.member @t43 @t38)) % 0.51/0.73 (define @t45 () (tptp.member @t43 @t27)) % 0.51/0.73 (define @t46 () (= @t45 @t44)) % 0.51/0.73 (define @t47 () (@list @t27 @t26 @t43)) % 0.51/0.73 (define @t48 () (tptp.member @t43 @t26)) % 0.51/0.73 (define @t49 () (not @t48)) % 0.51/0.73 (define @t50 () (and @t45 @t49)) % 0.51/0.73 (define @t51 () (= @t44 @t50)) % 0.51/0.73 (define @t52 () (not @t51)) % 0.51/0.73 (define @t53 () (not @t44)) % 0.51/0.73 (define @t54 () (not @t50)) % 0.51/0.73 (define @t55 () (not @t45)) % 0.51/0.73 (define @t56 () (or @t55 @t44)) % 0.51/0.73 (define @t57 () (not @t56)) % 0.51/0.73 (define @t58 () (forall @t7 (or (not @t41) @t40))) % 0.51/0.73 (define @t59 () (@list @t43)) % 0.51/0.73 (define @t60 () (tptp.subset @t27 @t38)) % 0.51/0.73 (define @t61 () (= @t60 @t58)) % 0.51/0.73 (define @t62 () (and @t45 @t48)) % 0.51/0.73 (define @t63 () (and @t60 (tptp.subset @t38 @t27))) % 0.51/0.73 (define @t64 () (tptp.member @t43 @t28)) % 0.51/0.73 (define @t65 () (= @t64 @t62)) % 0.51/0.73 (define @t66 () (= @t27 @t38)) % 0.51/0.73 (define @t67 () (= @t66 @t63)) % 0.51/0.73 (define @t68 () (not @t64)) % 0.51/0.73 (define @t69 () (or @t68 @t44)) % 0.51/0.73 (define @t70 () (= @t66 @t35)) % 0.51/0.73 (define @t71 () (not @t70)) % 0.51/0.73 (define @t72 () (not @t25)) % 0.51/0.73 (define @t73 () (= @t32 @t66)) % 0.51/0.73 (define @t74 () (not @t73)) % 0.51/0.73 (define @t75 () (@list true)) % 0.51/0.73 (define @t76 () (forall @t7 (or (not @t29) @t40))) % 0.51/0.73 (define @t77 () (@quantifiers_skolemize @t76 0)) % 0.51/0.73 (define @t78 () (tptp.member @t77 @t28)) % 0.51/0.73 (define @t79 () (not @t78)) % 0.51/0.73 (define @t80 () (or @t79 (tptp.member @t77 @t38))) % 0.51/0.73 (define @t81 () (not @t80)) % 0.51/0.73 (define @t82 () (not @t76)) % 0.51/0.73 (define @t83 () (tptp.member @t77 tptp.empty_set)) % 0.51/0.73 (define @t84 () (not @t35)) % 0.51/0.73 (define @t85 () (not @t83)) % 0.51/0.73 (define @t86 () (and @t35 @t85)) % 0.51/0.73 (define @t87 () (not @t46)) % 0.51/0.73 (define @t88 () (not @t42)) % 0.51/0.73 (define @t89 () (or @t88 @t66)) % 0.51/0.73 (define @t90 () (@list false false)) % 0.51/0.73 (define @t91 () (@list true false)) % 0.51/0.73 (define @t92 () (@quantifiers_skolemize @t30 0)) % 0.51/0.73 (define @t93 () (tptp.member @t92 tptp.empty_set)) % 0.51/0.73 (define @t94 () (tptp.member @t92 @t28)) % 0.51/0.73 (define @t95 () (= @t94 @t93)) % 0.51/0.73 (define @t96 () (not @t95)) % 0.51/0.73 (define @t97 () (forall @t20 (not (tptp.member @t1 @t28)))) % 0.51/0.73 (define @t98 () (@quantifiers_skolemize @t97 0)) % 0.51/0.73 (define @t99 () (@list @t27 @t26 @t98)) % 0.51/0.73 (define @t100 () (tptp.member @t98 @t26)) % 0.51/0.73 (define @t101 () (tptp.member @t98 @t27)) % 0.51/0.73 (define @t102 () (and @t101 @t100)) % 0.51/0.73 (define @t103 () (not @t102)) % 0.51/0.73 (define @t104 () (not @t100)) % 0.51/0.73 (define @t105 () (and @t101 @t104)) % 0.51/0.73 (define @t106 () (tptp.member @t98 @t38)) % 0.51/0.73 (define @t107 () (= @t106 @t105)) % 0.51/0.73 (define @t108 () (and @t66 @t101)) % 0.51/0.73 (define @t109 () (tptp.member @t98 @t28)) % 0.51/0.73 (define @t110 () (= @t109 @t102)) % 0.51/0.73 (define @t111 () (not @t109)) % 0.51/0.73 (define @t112 () (not @t97)) % 0.51/0.73 (define @t113 () (not @t111)) % 0.51/0.73 (define @t114 () (@list @t92)) % 0.51/0.73 (define @t115 () (not @t94)) % 0.51/0.73 (assume @p1 @t10) % 0.51/0.73 (assume @p2 (forall @t12 (= (tptp.member @t4 @t11) (and @t6 @t5)))) % 0.51/0.73 (assume @p3 (forall @t12 (= (tptp.member @t4 @t13) (and @t6 (not @t5))))) % 0.51/0.73 (assume @p4 @t15) % 0.51/0.73 (assume @p5 (forall @t9 (= @t3 (and @t16 (tptp.subset @t1 @t2))))) % 0.51/0.73 (assume @p6 (forall @t9 (= @t11 (tptp.intersection @t1 @t2)))) % 0.51/0.73 (assume @p7 (forall @t9 (= @t3 @t8))) % 0.51/0.73 (assume @p8 @t19) % 0.51/0.73 (assume @p9 (forall @t14 (tptp.subset @t2 @t2))) % 0.51/0.73 (assume @p10 (forall @t14 (= (tptp.empty @t2) (forall @t20 (not (tptp.member @t1 @t2)))))) % 0.51/0.73 (assume @p11 @t24) % 0.51/0.73 (assume @p12 true) % 0.51/0.73 (step @p13 :rule bool-impl-elim :args (@t8 @t3)) % 0.51/0.73 (step @p14 :rule cong :premises (@p13) :args (@t10)) % 0.51/0.73 (step @p15 :rule eq_resolve :premises (@p1 @p14)) % 0.51/0.73 (step @p16 :rule eq-symm :args (@t28 tptp.empty_set)) % 0.51/0.73 (step @p17 :rule refl :args (@t31)) % 0.51/0.73 (step @p18 :rule nary_cong :premises (@p17 @p16) :args (@t33)) % 0.51/0.73 (step @p19 :rule refl :args (@t34)) % 0.51/0.73 (step @p20 :rule cong :premises (@p19 @p18) :args ((=> @t34 @t33))) % 0.51/0.73 (assume-push @p243 @t34) % 0.51/0.73 (step @p22 :rule instantiate :premises (@p15) :args ((@list @t28 tptp.empty_set))) % 0.51/0.73 (step-pop @p244 :rule scope :premises (@p22)) % 0.51/0.73 (step @p23 :rule process_scope :premises (@p244) :args (@t33)) % 0.51/0.73 (step @p25 :rule eq_resolve :premises (@p23 @p20)) % 0.51/0.73 (step @p26 :rule implies_elim :premises (@p25)) % 0.51/0.73 (step @p27 :rule chain_m_resolution :premises (@p26 @p15) :args (@t36 @t37 (@list @t34))) % 0.51/0.73 (step @p28 :rule instantiate :premises (@p15) :args (@t39)) % 0.51/0.73 (step @p29 :rule cnf_equiv_neg2 :args (@t46)) % 0.51/0.73 (step @p30 :rule instantiate :premises (@p3) :args (@t47)) % 0.51/0.73 (step @p31 :rule cnf_equiv_pos1 :args (@t51)) % 0.51/0.73 (step @p32 :rule reordering :premises (@p31) :args ((or @t53 @t50 @t52))) % 0.51/0.73 (step @p33 :rule cnf_and_pos :args (@t50 0)) % 0.51/0.73 (step @p34 :rule reordering :premises (@p33) :args ((or @t45 @t54))) % 0.51/0.73 (step @p35 :rule chain_m_resolution :premises (@p34 @p32 @p30 @p29) :args ((or @t46 @t53) (@list false false true) (@list @t50 @t51 @t45))) % 0.51/0.73 (step @p36 :rule cnf_equiv_neg1 :args (@t46)) % 0.51/0.73 (step @p37 :rule reordering :premises (@p36) :args ((or @t45 @t44 @t46))) % 0.51/0.73 (step @p38 :rule cnf_or_pos :args (@t56)) % 0.51/0.73 (step @p39 :rule reordering :premises (@p38) :args ((or @t44 @t55 @t57))) % 0.51/0.73 (step @p40 :rule chain_m_resolution :premises (@p39 @p37) :args ((or @t44 @t46 @t57) @t37 (@list @t45))) % 0.51/0.73 (step @p41 :rule cnf_equiv_pos2 :args (@t51)) % 0.51/0.73 (step @p42 :rule reordering :premises (@p41) :args ((or @t44 @t54 @t52))) % 0.51/0.73 (assume-push @p245 @t58) % 0.51/0.73 (step @p44 :rule instantiate :premises (@p245) :args (@t59)) % 0.51/0.73 (step-pop @p246 :rule scope :premises (@p44)) % 0.51/0.73 (step @p45 :rule process_scope :premises (@p246) :args (@t56)) % 0.51/0.73 (step @p47 :rule implies_elim :premises (@p45)) % 0.51/0.73 (step @p48 :rule bool-double-not-elim :args (@t48)) % 0.51/0.73 (step @p49 :rule refl :args (@t55)) % 0.51/0.73 (step @p50 :rule refl :args (@t50)) % 0.51/0.73 (step @p51 :rule nary_cong :premises (@p50 @p49 @p48) :args ((or @t50 @t55 (not @t49)))) % 0.51/0.73 (step @p52 :rule cnf_and_neg :args (@t50)) % 0.51/0.73 (step @p53 :rule eq_resolve :premises (@p52 @p51)) % 0.51/0.73 (step @p54 :rule reordering :premises (@p53) :args ((or @t55 @t48 @t50))) % 0.51/0.73 (step @p55 :rule bool-impl-elim :args (@t6 @t5)) % 0.51/0.73 (step @p56 :rule cong :premises (@p55) :args (@t17)) % 0.51/0.73 (step @p57 :rule refl :args (@t16)) % 0.51/0.73 (step @p58 :rule cong :premises (@p57 @p56) :args (@t18)) % 0.51/0.73 (step @p59 :rule cong :premises (@p58) :args (@t19)) % 0.51/0.73 (step @p60 :rule eq_resolve :premises (@p8 @p59)) % 0.51/0.73 (step @p61 :rule instantiate :premises (@p60) :args (@t39)) % 0.51/0.73 (step @p62 :rule cnf_equiv_pos1 :args (@t61)) % 0.51/0.73 (step @p63 :rule reordering :premises (@p62) :args ((or @t58 (not @t60) (not @t61)))) % 0.51/0.73 (step @p64 :rule cnf_and_neg :args (@t62)) % 0.51/0.73 (step @p65 :rule reordering :premises (@p64) :args ((or @t55 @t49 @t62))) % 0.51/0.73 (step @p66 :rule cnf_and_pos :args (@t63 0)) % 0.51/0.73 (step @p67 :rule reordering :premises (@p66) :args ((or @t60 (not @t63)))) % 0.51/0.73 (step @p68 :rule instantiate :premises (@p2) :args (@t47)) % 0.51/0.73 (step @p69 :rule cnf_equiv_pos2 :args (@t65)) % 0.51/0.73 (step @p70 :rule reordering :premises (@p69) :args ((or @t64 (not @t62) (not @t65)))) % 0.51/0.73 (step @p71 :rule instantiate :premises (@p5) :args (@t39)) % 0.51/0.73 (step @p72 :rule cnf_equiv_pos1 :args (@t67)) % 0.51/0.73 (step @p73 :rule reordering :premises (@p72) :args ((or (not @t66) @t63 (not @t67)))) % 0.51/0.73 (step @p74 :rule cnf_or_pos :args (@t69)) % 0.51/0.73 (step @p75 :rule reordering :premises (@p74) :args ((or @t44 @t68 (not @t69)))) % 0.51/0.73 (step @p76 :rule eq-symm :args (@t13 @t2)) % 0.51/0.73 (step @p77 :rule refl :args (@t21)) % 0.51/0.73 (step @p78 :rule cong :premises (@p77 @p76) :args (@t22)) % 0.51/0.73 (step @p79 :rule cong :premises (@p78) :args (@t23)) % 0.51/0.73 (step @p80 :rule cong :premises (@p79) :args (@t24)) % 0.51/0.73 (step @p81 :rule eq_resolve :premises (@p11 @p80)) % 0.51/0.73 (step @p82 :rule refl :args (@t71)) % 0.51/0.73 (step @p83 :rule bool-double-not-elim :args (@t25)) % 0.51/0.73 (step @p84 :rule nary_cong :premises (@p83 @p82) :args ((or (not @t72) @t71))) % 0.51/0.73 (step @p85 :rule eq-symm :args (@t35 @t66)) % 0.51/0.73 (step @p86 :rule refl :args (@t66)) % 0.51/0.73 (step @p87 :rule cong :premises (@p16 @p86) :args (@t73)) % 0.51/0.73 (step @p88 :rule trans :premises (@p87 @p85)) % 0.51/0.73 (step @p89 :rule cong :premises (@p88) :args (@t74)) % 0.51/0.73 (step @p90 :rule refl :args (@t72)) % 0.51/0.73 (step @p91 :rule cong :premises (@p90 @p89) :args ((=> @t72 @t74))) % 0.51/0.73 (assume-push @p247 @t72) % 0.51/0.73 (step @p93 :rule skolemize :premises (@p81)) % 0.51/0.73 (step-pop @p248 :rule scope :premises (@p93)) % 0.51/0.73 (step @p94 :rule process_scope :premises (@p248) :args (@t74)) % 0.51/0.73 (step @p96 :rule eq_resolve :premises (@p94 @p91)) % 0.51/0.73 (step @p97 :rule implies_elim :premises (@p96)) % 0.51/0.73 (step @p98 :rule eq_resolve :premises (@p97 @p84)) % 0.51/0.73 (step @p99 :rule chain_m_resolution :premises (@p98 @p81) :args (@t71 @t75 (@list @t25))) % 0.51/0.73 (step @p100 :rule cnf_equiv_neg1 :args (@t70)) % 0.51/0.73 (step @p101 :rule reordering :premises (@p100) :args ((or @t66 @t35 @t70))) % 0.51/0.73 (assume-push @p249 @t76) % 0.51/0.73 (step @p103 :rule instantiate :premises (@p249) :args (@t59)) % 0.51/0.73 (step-pop @p250 :rule scope :premises (@p103)) % 0.51/0.73 (step @p104 :rule process_scope :premises (@p250) :args (@t69)) % 0.51/0.73 (step @p106 :rule implies_elim :premises (@p104)) % 0.51/0.73 (step @p107 :rule refl :args (@t81)) % 0.51/0.73 (step @p108 :rule bool-double-not-elim :args (@t76)) % 0.51/0.73 (step @p109 :rule nary_cong :premises (@p108 @p107) :args ((or (not @t82) @t81))) % 0.51/0.73 (assume-push @p251 @t82) % 0.51/0.73 (step @p111 :rule skolemize :premises (@p251)) % 0.51/0.73 (step-pop @p252 :rule scope :premises (@p111)) % 0.51/0.73 (step @p112 :rule process_scope :premises (@p252) :args (@t81)) % 0.51/0.73 (step @p114 :rule implies_elim :premises (@p112)) % 0.51/0.73 (step @p115 :rule eq_resolve :premises (@p114 @p109)) % 0.51/0.73 (step @p116 :rule bool-double-not-elim :args (@t78)) % 0.51/0.73 (step @p117 :rule refl :args (@t80)) % 0.51/0.73 (step @p118 :rule nary_cong :premises (@p117 @p116) :args ((or @t80 (not @t79)))) % 0.51/0.73 (step @p119 :rule cnf_or_neg :args (@t80 0)) % 0.51/0.73 (step @p120 :rule eq_resolve :premises (@p119 @p118)) % 0.51/0.73 (step @p121 :rule reordering :premises (@p120) :args ((or @t78 @t80))) % 0.51/0.73 (step @p122 :rule instantiate :premises (@p4) :args ((@list @t77))) % 0.51/0.73 (step @p123 :rule refl :args (@t79)) % 0.51/0.73 (step @p124 :rule bool-double-not-elim :args (@t83)) % 0.51/0.73 (step @p125 :rule refl :args (@t84)) % 0.51/0.73 (step @p126 :rule nary_cong :premises (@p125 @p124 @p123) :args ((or @t84 (not @t85) @t79))) % 0.51/0.73 (assume-push @p253 @t35) % 0.51/0.73 (assume-push @p254 @t85) % 0.51/0.73 (assume-push @p255 @t85) % 0.51/0.73 (assume-push @p256 @t35) % 0.51/0.73 (step @p131 :rule false_intro :premises (@p122)) % 0.51/0.73 (step @p132 :rule symm :premises (@p253)) % 0.51/0.73 (step @p133 :rule refl :args (@t77)) % 0.51/0.73 (step @p134 :rule cong :premises (@p133 @p132) :args (@t78)) % 0.51/0.73 (step @p135 :rule trans :premises (@p134 @p131)) % 0.51/0.73 (step @p136 :rule false_elim :premises (@p135)) % 0.51/0.73 (step-pop @p257 :rule scope :premises (@p136)) % 0.51/0.73 (step-pop @p258 :rule scope :premises (@p257)) % 0.51/0.73 (step @p137 :rule process_scope :premises (@p258) :args (@t79)) % 0.51/0.73 (step @p140 :rule and_intro :premises (@p122 @p253)) % 0.51/0.73 (step @p141 :rule modus_ponens :premises (@p140 @p137)) % 0.51/0.73 (step-pop @p259 :rule scope :premises (@p141)) % 0.51/0.73 (step-pop @p260 :rule scope :premises (@p259)) % 0.51/0.73 (step @p142 :rule process_scope :premises (@p260) :args (@t79)) % 0.51/0.73 (step @p145 :rule implies_elim :premises (@p142)) % 0.51/0.73 (step @p146 :rule cnf_and_neg :args (@t86)) % 0.51/0.73 (step @p147 :rule resolution :premises (@p146 @p145) :args (true @t86)) % 0.51/0.73 (step @p148 :rule eq_resolve :premises (@p147 @p126)) % 0.51/0.73 (step @p149 :rule reordering :premises (@p148) :args ((or @t84 @t79 @t83))) % 0.51/0.73 (step @p150 :rule chain_m_resolution :premises (@p149 @p122 @p121 @p115 @p106 @p101 @p99 @p75 @p73 @p71 @p70 @p68 @p67 @p65 @p63 @p61 @p54 @p47 @p42 @p30 @p37 @p40 @p35) :args (@t46 (@list true false true true false true true true false false false true false true false false true true false false true true) (@list @t83 @t78 @t80 @t76 @t35 @t70 @t69 @t66 @t67 @t64 @t65 @t63 @t62 @t60 @t61 @t48 @t58 @t50 @t51 @t45 @t56 @t44))) % 0.51/0.73 (step @p151 :rule refl :args (@t87)) % 0.51/0.73 (step @p152 :rule bool-double-not-elim :args (@t42)) % 0.51/0.73 (step @p153 :rule nary_cong :premises (@p152 @p151) :args ((or (not @t88) @t87))) % 0.51/0.73 (assume-push @p261 @t88) % 0.51/0.73 (step @p155 :rule skolemize :premises (@p261)) % 0.51/0.73 (step-pop @p262 :rule scope :premises (@p155)) % 0.51/0.73 (step @p156 :rule process_scope :premises (@p262) :args (@t87)) % 0.51/0.73 (step @p158 :rule implies_elim :premises (@p156)) % 0.51/0.73 (step @p159 :rule eq_resolve :premises (@p158 @p153)) % 0.51/0.73 (step @p160 :rule chain_m_resolution :premises (@p159 @p150) :args (@t42 @t37 (@list @t46))) % 0.51/0.73 (step @p161 :rule cnf_or_pos :args (@t89)) % 0.51/0.73 (step @p162 :rule reordering :premises (@p161) :args ((or @t66 @t88 (not @t89)))) % 0.51/0.73 (step @p163 :rule chain_m_resolution :premises (@p162 @p160 @p28) :args (@t66 @t90 (@list @t42 @t89))) % 0.51/0.73 (step @p164 :rule cnf_equiv_neg2 :args (@t70)) % 0.51/0.73 (step @p165 :rule chain_m_resolution :premises (@p164 @p99 @p163) :args (@t84 @t91 (@list @t70 @t66))) % 0.51/0.73 (step @p166 :rule cnf_or_pos :args (@t36)) % 0.51/0.73 (step @p167 :rule reordering :premises (@p166) :args ((or @t35 @t31 (not @t36)))) % 0.51/0.73 (step @p168 :rule chain_m_resolution :premises (@p167 @p165 @p27) :args (@t31 @t91 (@list @t35 @t36))) % 0.51/0.73 (step @p169 :rule refl :args (@t96)) % 0.51/0.73 (step @p170 :rule bool-double-not-elim :args (@t30)) % 0.51/0.73 (step @p171 :rule nary_cong :premises (@p170 @p169) :args ((or (not @t31) @t96))) % 0.51/0.73 (assume-push @p263 @t31) % 0.51/0.73 (step @p173 :rule skolemize :premises (@p263)) % 0.51/0.73 (step-pop @p264 :rule scope :premises (@p173)) % 0.51/0.73 (step @p174 :rule process_scope :premises (@p264) :args (@t96)) % 0.51/0.73 (step @p176 :rule implies_elim :premises (@p174)) % 0.51/0.73 (step @p177 :rule eq_resolve :premises (@p176 @p171)) % 0.51/0.73 (step @p178 :rule chain_m_resolution :premises (@p177 @p168) :args (@t96 @t75 (@list @t30))) % 0.51/0.73 (step @p179 :rule instantiate :premises (@p2) :args (@t99)) % 0.51/0.73 (step @p180 :rule cnf_and_pos :args (@t102 0)) % 0.51/0.73 (step @p181 :rule reordering :premises (@p180) :args ((or @t101 @t103))) % 0.51/0.73 (step @p182 :rule cnf_and_pos :args (@t102 1)) % 0.51/0.73 (step @p183 :rule reordering :premises (@p182) :args ((or @t100 @t103))) % 0.51/0.73 (step @p184 :rule cnf_and_pos :args (@t105 1)) % 0.51/0.73 (step @p185 :rule reordering :premises (@p184) :args ((or @t104 (not @t105)))) % 0.51/0.73 (step @p186 :rule instantiate :premises (@p3) :args (@t99)) % 0.51/0.73 (step @p187 :rule cnf_equiv_pos1 :args (@t107)) % 0.51/0.73 (step @p188 :rule reordering :premises (@p187) :args ((or (not @t106) @t105 (not @t107)))) % 0.51/0.73 (assume-push @p265 @t66) % 0.51/0.73 (assume-push @p266 @t101) % 0.51/0.73 (assume-push @p267 @t101) % 0.51/0.73 (assume-push @p268 @t66) % 0.51/0.73 (step @p193 :rule true_intro :premises (@p266)) % 0.51/0.73 (step @p194 :rule symm :premises (@p265)) % 0.51/0.73 (step @p195 :rule refl :args (@t98)) % 0.51/0.73 (step @p196 :rule cong :premises (@p195 @p194) :args (@t106)) % 0.51/0.73 (step @p197 :rule trans :premises (@p196 @p193)) % 0.51/0.73 (step @p198 :rule true_elim :premises (@p197)) % 0.51/0.73 (step-pop @p269 :rule scope :premises (@p198)) % 0.51/0.73 (step-pop @p270 :rule scope :premises (@p269)) % 0.51/0.73 (step @p199 :rule process_scope :premises (@p270) :args (@t106)) % 0.51/0.73 (step @p202 :rule and_intro :premises (@p266 @p265)) % 0.51/0.73 (step @p203 :rule modus_ponens :premises (@p202 @p199)) % 0.51/0.73 (step-pop @p271 :rule scope :premises (@p203)) % 0.51/0.73 (step-pop @p272 :rule scope :premises (@p271)) % 0.51/0.73 (step @p204 :rule process_scope :premises (@p272) :args (@t106)) % 0.51/0.73 (step @p207 :rule implies_elim :premises (@p204)) % 0.51/0.73 (step @p208 :rule cnf_and_neg :args (@t108)) % 0.51/0.73 (step @p209 :rule resolution :premises (@p208 @p207) :args (true @t108)) % 0.51/0.73 (step @p210 :rule chain_m_resolution :premises (@p209 @p163 @p188 @p186 @p185 @p183 @p181) :args (@t103 (@list false true false true false false) (@list @t66 @t106 @t107 @t105 @t100 @t101))) % 0.51/0.73 (step @p211 :rule cnf_equiv_pos1 :args (@t110)) % 0.51/0.73 (step @p212 :rule reordering :premises (@p211) :args ((or @t111 @t102 (not @t110)))) % 0.51/0.73 (step @p213 :rule chain_m_resolution :premises (@p212 @p210 @p179) :args (@t111 @t91 (@list @t102 @t110))) % 0.51/0.73 (step @p214 :rule refl :args (@t109)) % 0.51/0.73 (step @p215 :rule bool-double-not-elim :args (@t97)) % 0.51/0.73 (step @p216 :rule nary_cong :premises (@p215 @p214) :args ((or (not @t112) @t109))) % 0.51/0.73 (step @p217 :rule bool-double-not-elim :args (@t109)) % 0.51/0.73 (step @p218 :rule refl :args (@t112)) % 0.51/0.73 (step @p219 :rule cong :premises (@p218 @p217) :args ((=> @t112 @t113))) % 0.51/0.73 (assume-push @p273 @t112) % 0.51/0.73 (step @p221 :rule skolemize :premises (@p273)) % 0.51/0.73 (step-pop @p274 :rule scope :premises (@p221)) % 0.51/0.73 (step @p222 :rule process_scope :premises (@p274) :args (@t113)) % 0.51/0.73 (step @p224 :rule eq_resolve :premises (@p222 @p219)) % 0.51/0.73 (step @p225 :rule implies_elim :premises (@p224)) % 0.51/0.73 (step @p226 :rule eq_resolve :premises (@p225 @p216)) % 0.51/0.73 (step @p227 :rule chain_m_resolution :premises (@p226 @p213) :args (@t97 @t75 (@list @t109))) % 0.51/0.73 (assume-push @p275 @t97) % 0.51/0.73 (step @p229 :rule instantiate :premises (@p275) :args (@t114)) % 0.51/0.73 (step-pop @p276 :rule scope :premises (@p229)) % 0.51/0.73 (step @p230 :rule process_scope :premises (@p276) :args (@t115)) % 0.51/0.73 (step @p232 :rule implies_elim :premises (@p230)) % 0.51/0.73 (step @p233 :rule chain_m_resolution :premises (@p232 @p227) :args (@t115 @t37 (@list @t97))) % 0.51/0.73 (step @p234 :rule cnf_equiv_neg1 :args (@t95)) % 0.51/0.73 (step @p235 :rule reordering :premises (@p234) :args ((or @t94 @t93 @t95))) % 0.51/0.73 (step @p236 :rule chain_m_resolution :premises (@p235 @p233 @p178) :args (@t93 (@list true true) (@list @t94 @t95))) % 0.51/0.73 (assume-push @p277 @t15) % 0.51/0.73 (step @p238 :rule instantiate :premises (@p4) :args (@t114)) % 0.51/0.73 (step-pop @p278 :rule scope :premises (@p238)) % 0.51/0.73 (step @p239 :rule process_scope :premises (@p278) :args ((not @t93))) % 0.51/0.73 (step @p241 :rule implies_elim :premises (@p239)) % 0.51/0.73 (step @p242 false :rule chain_m_resolution :premises (@p241 @p236 @p4) :args (false @t90 (@list @t93 @t15))) % 0.51/0.73 ) % 0.51/0.73 % SZS output end Proof % 0.51/0.73 % cvc5 exiting %------------------------------------------------------------------------------