%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : CSR131^1 : TPTP v9.2.1. Released v4.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n027.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 08:13:03 AM UTC 2026 % Result : Theorem 0.38s 0.59s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : CSR131^1 : TPTP v9.2.1. Released v4.1.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n027.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Mon Jun 1 21:57:36 EDT 2026 % 0.15/0.34 % CPUTime : % 0.31/0.48 %----Proving TH0 % 0.38/0.59 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.38/0.59 % SZS status Theorem % 0.38/0.59 % SZS output start Proof % 0.38/0.59 ( % 0.38/0.59 (declare-sort $$unsorted 0) % 0.38/0.59 (declare-const tptp.likes_THFTYPE_IiioI (-> $$unsorted $$unsorted Bool)) % 0.38/0.59 (declare-const tptp.lBill_THFTYPE_i $$unsorted) % 0.38/0.59 (declare-const tptp.lBob_THFTYPE_i $$unsorted) % 0.38/0.59 (declare-const tptp.lSue_THFTYPE_i $$unsorted) % 0.38/0.59 (declare-const tptp.lBen_THFTYPE_i $$unsorted) % 0.38/0.59 (declare-const tptp.holdsDuring_THFTYPE_IiooI (-> $$unsorted Bool Bool)) % 0.38/0.59 (declare-const tptp.lYearFn_THFTYPE_IiiI (-> $$unsorted $$unsorted)) % 0.38/0.59 (declare-const tptp.n2009_THFTYPE_i $$unsorted) % 0.38/0.59 (declare-const tptp.parent_THFTYPE_IiioI (-> $$unsorted $$unsorted Bool)) % 0.38/0.59 (declare-const tptp.lMary_THFTYPE_i $$unsorted) % 0.38/0.59 (declare-const tptp.lAnna_THFTYPE_i $$unsorted) % 0.38/0.59 (define @t1 () (_ tptp.parent_THFTYPE_IiioI tptp.lMary_THFTYPE_i)) % 0.38/0.59 (define @t2 () (_ @t1 tptp.lAnna_THFTYPE_i)) % 0.38/0.59 (define @t3 () (_ tptp.lYearFn_THFTYPE_IiiI tptp.n2009_THFTYPE_i)) % 0.38/0.59 (define @t4 () (_ tptp.holdsDuring_THFTYPE_IiooI @t3)) % 0.38/0.59 (define @t5 () (_ tptp.parent_THFTYPE_IiioI tptp.lSue_THFTYPE_i)) % 0.38/0.59 (define @t6 () (_ tptp.parent_THFTYPE_IiioI tptp.lBob_THFTYPE_i)) % 0.38/0.59 (define @t7 () (_ @t6 tptp.lAnna_THFTYPE_i)) % 0.38/0.59 (define @t8 () (not @t7)) % 0.38/0.59 (define @t9 () (_ tptp.likes_THFTYPE_IiioI tptp.lSue_THFTYPE_i)) % 0.38/0.59 (define @t10 () (_ (_ tptp.likes_THFTYPE_IiioI tptp.lMary_THFTYPE_i) tptp.lBill_THFTYPE_i)) % 0.38/0.59 (define @t11 () (_ @t9 tptp.lMary_THFTYPE_i)) % 0.38/0.59 (define @t12 () (not @t11)) % 0.38/0.59 (define @t13 () (@var "B" $$unsorted)) % 0.38/0.59 (define @t14 () (@var "A" $$unsorted)) % 0.38/0.59 (define @t15 () (@var "Q" (-> $$unsorted $$unsorted Bool))) % 0.38/0.59 (define @t16 () (_ (_ @t15 @t14) @t13)) % 0.38/0.59 (define @t17 () (@list @t14 @t13)) % 0.38/0.59 (define @t18 () (forall @t17 @t16)) % 0.38/0.59 (define @t19 () (not @t18)) % 0.38/0.59 (define @t20 () (@var "R" (-> $$unsorted $$unsorted Bool))) % 0.38/0.59 (define @t21 () (_ (_ @t20 @t14) @t13)) % 0.38/0.59 (define @t22 () (forall @t17 @t21)) % 0.38/0.59 (define @t23 () (not @t22)) % 0.38/0.59 (define @t24 () (@var "Y" $$unsorted)) % 0.38/0.59 (define @t25 () (_ (_ @t15 @t24) tptp.lAnna_THFTYPE_i)) % 0.38/0.59 (define @t26 () (_ (_ @t20 @t24) tptp.lBill_THFTYPE_i)) % 0.38/0.59 (define @t27 () (and @t26 @t25 @t23 @t19)) % 0.38/0.59 (define @t28 () (_ @t4 @t27)) % 0.38/0.59 (define @t29 () (@list @t15 @t20 @t24)) % 0.38/0.59 (define @t30 () (exists @t29 @t28)) % 0.38/0.59 (define @t31 () (not @t30)) % 0.38/0.59 (define @t32 () (@purify @t2)) % 0.38/0.59 (define @t33 () (tptp.lYearFn_THFTYPE_IiiI tptp.n2009_THFTYPE_i)) % 0.38/0.59 (define @t34 () (tptp.holdsDuring_THFTYPE_IiooI @t33 @t32)) % 0.38/0.59 (define @t35 () (_ tptp.holdsDuring_THFTYPE_IiooI @t33)) % 0.38/0.59 (define @t36 () (= @t2 @t32)) % 0.38/0.59 (define @t37 () (_ @t15 @t14 @t13)) % 0.38/0.59 (define @t38 () (forall @t17 @t37)) % 0.38/0.59 (define @t39 () (not @t38)) % 0.38/0.59 (define @t40 () (_ @t20 @t14 @t13)) % 0.38/0.59 (define @t41 () (forall @t17 @t40)) % 0.38/0.59 (define @t42 () (not @t41)) % 0.38/0.59 (define @t43 () (_ @t15 @t24 tptp.lAnna_THFTYPE_i)) % 0.38/0.59 (define @t44 () (_ @t20 @t24 tptp.lBill_THFTYPE_i)) % 0.38/0.59 (define @t45 () (and @t44 @t43 @t42 @t39)) % 0.38/0.59 (define @t46 () (tptp.holdsDuring_THFTYPE_IiooI @t33 @t45)) % 0.38/0.59 (define @t47 () (forall @t29 (not @t46))) % 0.38/0.59 (define @t48 () (and @t26 @t25 @t42 @t39)) % 0.38/0.59 (define @t49 () (_ @t4 @t48)) % 0.38/0.59 (define @t50 () (not @t49)) % 0.38/0.59 (define @t51 () (forall @t29 @t50)) % 0.38/0.59 (define @t52 () (not @t51)) % 0.38/0.59 (define @t53 () (forall @t17 (tptp.parent_THFTYPE_IiioI @t14 @t13))) % 0.38/0.59 (define @t54 () (not @t53)) % 0.38/0.59 (define @t55 () (forall @t17 (tptp.likes_THFTYPE_IiioI @t14 @t13))) % 0.38/0.59 (define @t56 () (not @t55)) % 0.38/0.59 (define @t57 () (tptp.parent_THFTYPE_IiioI tptp.lMary_THFTYPE_i tptp.lAnna_THFTYPE_i)) % 0.38/0.59 (define @t58 () (tptp.likes_THFTYPE_IiioI tptp.lMary_THFTYPE_i tptp.lBill_THFTYPE_i)) % 0.38/0.59 (define @t59 () (and @t58 @t57 @t56 @t54)) % 0.38/0.59 (define @t60 () (@purify @t59)) % 0.38/0.59 (define @t61 () (tptp.holdsDuring_THFTYPE_IiooI @t33 @t59)) % 0.38/0.59 (define @t62 () (not @t61)) % 0.38/0.59 (define @t63 () (tptp.holdsDuring_THFTYPE_IiooI @t33 @t60)) % 0.38/0.59 (define @t64 () (not @t63)) % 0.38/0.59 (define @t65 () (@list false)) % 0.38/0.59 (define @t66 () (@list @t47)) % 0.38/0.59 (define @t67 () (not @t32)) % 0.38/0.59 (define @t68 () (and @t58 (tptp.likes_THFTYPE_IiioI tptp.lMary_THFTYPE_i tptp.lAnna_THFTYPE_i) @t56 @t56)) % 0.38/0.59 (define @t69 () (@purify @t68)) % 0.38/0.59 (define @t70 () (tptp.holdsDuring_THFTYPE_IiooI @t33 @t68)) % 0.38/0.59 (define @t71 () (not @t70)) % 0.38/0.59 (define @t72 () (tptp.holdsDuring_THFTYPE_IiooI @t33 @t69)) % 0.38/0.59 (define @t73 () (not @t72)) % 0.38/0.59 (define @t74 () (not @t69)) % 0.38/0.59 (define @t75 () (not @t34)) % 0.38/0.59 (define @t76 () (not @t73)) % 0.38/0.59 (define @t77 () (= false true)) % 0.38/0.59 (define @t78 () (and @t34 @t32 @t69 @t73)) % 0.38/0.59 (define @t79 () (not @t60)) % 0.38/0.59 (define @t80 () (not @t64)) % 0.38/0.59 (define @t81 () (and @t34 @t32 @t60 @t64)) % 0.38/0.59 (define @t82 () (not @t59)) % 0.38/0.59 (define @t83 () (@purify @t12)) % 0.38/0.59 (define @t84 () (tptp.holdsDuring_THFTYPE_IiooI @t33 @t83)) % 0.38/0.59 (define @t85 () (= @t12 @t83)) % 0.38/0.59 (define @t86 () (not @t84)) % 0.38/0.59 (define @t87 () (not @t74)) % 0.38/0.59 (define @t88 () (not @t83)) % 0.38/0.59 (define @t89 () (= true false)) % 0.38/0.59 (define @t90 () (and @t73 @t74 @t88 @t84)) % 0.38/0.59 (define @t91 () (tptp.likes_THFTYPE_IiioI tptp.lSue_THFTYPE_i tptp.lMary_THFTYPE_i)) % 0.38/0.59 (define @t92 () (not @t91)) % 0.38/0.59 (define @t93 () (@purify @t10)) % 0.38/0.59 (define @t94 () (tptp.holdsDuring_THFTYPE_IiooI @t33 @t93)) % 0.38/0.59 (define @t95 () (= @t10 @t93)) % 0.38/0.59 (define @t96 () (not @t94)) % 0.38/0.59 (define @t97 () (not @t93)) % 0.38/0.59 (define @t98 () (and @t73 @t74 @t97 @t94)) % 0.38/0.59 (define @t99 () (not @t57)) % 0.38/0.59 (define @t100 () (not @t58)) % 0.38/0.59 (define @t101 () (tptp.parent_THFTYPE_IiioI tptp.lBob_THFTYPE_i tptp.lAnna_THFTYPE_i)) % 0.38/0.59 (define @t102 () (not @t101)) % 0.38/0.59 (define @t103 () (@purify @t8)) % 0.38/0.59 (define @t104 () (= @t8 @t103)) % 0.38/0.59 (define @t105 () (not @t103)) % 0.38/0.59 (define @t106 () (tptp.holdsDuring_THFTYPE_IiooI @t33 @t103)) % 0.38/0.59 (define @t107 () (not @t106)) % 0.38/0.59 (define @t108 () (and @t73 @t74 @t105 @t106)) % 0.38/0.59 (define @t109 () (@list true)) % 0.38/0.59 (define @t110 () (and @t34 @t67 @t79 @t64)) % 0.38/0.59 (assume @p1 (_ @t4 @t2)) % 0.38/0.59 (assume @p2 (_ @t4 (_ @t5 tptp.lBen_THFTYPE_i))) % 0.38/0.59 (assume @p3 (_ @t4 @t8)) % 0.38/0.59 (assume @p4 (_ @t4 (_ @t9 tptp.lBill_THFTYPE_i))) % 0.38/0.59 (assume @p5 (_ @t4 (_ (_ tptp.likes_THFTYPE_IiioI tptp.lBob_THFTYPE_i) tptp.lBill_THFTYPE_i))) % 0.38/0.59 (assume @p6 (_ @t4 (not (_ @t6 tptp.lBen_THFTYPE_i)))) % 0.38/0.59 (assume @p7 (_ @t4 @t10)) % 0.38/0.59 (assume @p8 (_ @t4 (_ @t5 tptp.lAnna_THFTYPE_i))) % 0.38/0.59 (assume @p9 (_ @t4 (_ @t1 tptp.lBen_THFTYPE_i))) % 0.38/0.59 (assume @p10 (_ @t4 @t12)) % 0.38/0.59 (assume @p11 @t31) % 0.38/0.59 (assume @p12 true) % 0.38/0.59 (step @p13 :rule refl :args ((tptp.holdsDuring_THFTYPE_IiooI @t3 @t32))) % 0.38/0.59 (step @p14 :rule refl :args (@t32)) % 0.38/0.59 (step @p15 :rule refl :args (@t33)) % 0.38/0.59 (step @p16 :rule cong :premises (@p15 @p14) :args (@t34)) % 0.38/0.59 (step @p17 :rule trans :premises (@p16 @p13)) % 0.38/0.59 (step @p18 :rule refl :args (tptp.holdsDuring_THFTYPE_IiooI)) % 0.38/0.59 (step @p19 :rule ho_cong :premises (@p18 @p15)) % 0.38/0.59 (step @p20 :rule ho_cong :premises (@p19 @p14)) % 0.38/0.59 (step @p21 :rule cong :premises (@p20 @p17) :args ((= (_ @t35 @t32) @t34))) % 0.38/0.59 (step @p22 :rule symm :premises (@p21)) % 0.38/0.59 (step @p23 :rule refl :args ((_ @t4 @t32))) % 0.38/0.59 (step @p24 :rule eq_resolve :premises (@p23 @p22)) % 0.38/0.59 (step @p25 :rule eq-refl :args (@t2)) % 0.38/0.59 (step @p26 :rule skolem_intro :args (@t32)) % 0.38/0.59 (step @p27 :rule refl :args (@t2)) % 0.38/0.59 (step @p28 :rule cong :premises (@p27 @p26) :args (@t36)) % 0.38/0.59 (step @p29 :rule trans :premises (@p28 @p25)) % 0.38/0.59 (step @p30 :rule true_elim :premises (@p29)) % 0.38/0.59 (step @p31 :rule refl :args (@t3)) % 0.38/0.59 (step @p32 :rule cong :premises (@p31 @p15) :args ((= @t3 @t33))) % 0.38/0.59 (step @p33 :rule symm :premises (@p32)) % 0.38/0.59 (step @p34 :rule eq_resolve :premises (@p31 @p33)) % 0.38/0.59 (step @p35 :rule refl :args (tptp.holdsDuring_THFTYPE_IiooI)) % 0.38/0.59 (step @p36 :rule ho_cong :premises (@p35 @p34)) % 0.38/0.59 (step @p37 :rule ho_cong :premises (@p36 @p30)) % 0.38/0.59 (step @p38 :rule trans :premises (@p37 @p24)) % 0.38/0.59 (step @p39 :rule eq_resolve :premises (@p1 @p38)) % 0.38/0.59 (step @p40 :rule bool-double-not-elim :args (@t47)) % 0.38/0.59 (step @p41 :rule refl :args ((tptp.holdsDuring_THFTYPE_IiooI @t3 @t27))) % 0.38/0.59 (step @p42 :rule refl :args (@t37)) % 0.38/0.59 (step @p43 :rule cong :premises (@p42) :args (@t38)) % 0.38/0.59 (step @p44 :rule cong :premises (@p43) :args (@t39)) % 0.38/0.59 (step @p45 :rule refl :args (@t40)) % 0.38/0.59 (step @p46 :rule cong :premises (@p45) :args (@t41)) % 0.38/0.59 (step @p47 :rule cong :premises (@p46) :args (@t42)) % 0.38/0.59 (step @p48 :rule refl :args (@t43)) % 0.38/0.59 (step @p49 :rule refl :args (@t44)) % 0.38/0.59 (step @p50 :rule nary_cong :premises (@p49 @p48 @p47 @p44) :args (@t45)) % 0.38/0.59 (step @p51 :rule cong :premises (@p15 @p50) :args (@t46)) % 0.38/0.59 (step @p52 :rule trans :premises (@p51 @p41)) % 0.38/0.59 (step @p53 :rule ho_cong :premises (@p19 @p50)) % 0.38/0.59 (step @p54 :rule cong :premises (@p53 @p52) :args ((= (_ @t35 @t45) @t46))) % 0.38/0.59 (step @p55 :rule symm :premises (@p54)) % 0.38/0.59 (step @p56 :rule refl :args (@t28)) % 0.38/0.59 (step @p57 :rule eq_resolve :premises (@p56 @p55)) % 0.38/0.59 (step @p58 :rule refl :args (@t39)) % 0.38/0.59 (step @p59 :rule refl :args (@t42)) % 0.38/0.59 (step @p60 :rule refl :args (@t25)) % 0.38/0.59 (step @p61 :rule cong :premises (@p60 @p48) :args ((= @t25 @t43))) % 0.38/0.59 (step @p62 :rule symm :premises (@p61)) % 0.38/0.59 (step @p63 :rule eq_resolve :premises (@p60 @p62)) % 0.38/0.59 (step @p64 :rule refl :args (@t26)) % 0.38/0.59 (step @p65 :rule cong :premises (@p64 @p49) :args ((= @t26 @t44))) % 0.38/0.59 (step @p66 :rule symm :premises (@p65)) % 0.38/0.59 (step @p67 :rule eq_resolve :premises (@p64 @p66)) % 0.38/0.59 (step @p68 :rule nary_cong :premises (@p67 @p63 @p59 @p58) :args (@t48)) % 0.38/0.59 (step @p69 :rule eq_resolve :premises (@p31 @p33)) % 0.38/0.59 (step @p70 :rule ho_cong :premises (@p18 @p69)) % 0.38/0.59 (step @p71 :rule ho_cong :premises (@p70 @p68)) % 0.38/0.59 (step @p72 :rule trans :premises (@p71 @p57)) % 0.38/0.59 (step @p73 :rule cong :premises (@p72) :args (@t50)) % 0.38/0.59 (step @p74 :rule cong :premises (@p73) :args (@t51)) % 0.38/0.59 (step @p75 :rule cong :premises (@p74) :args (@t52)) % 0.38/0.59 (step @p76 :rule exists-elim :args ((= (exists @t29 @t49) @t52))) % 0.38/0.59 (step @p77 :rule trans :premises (@p76 @p75)) % 0.38/0.59 (step @p78 :rule refl :args (@t16)) % 0.38/0.59 (step @p79 :rule cong :premises (@p78 @p42) :args ((= @t16 @t37))) % 0.38/0.59 (step @p80 :rule symm :premises (@p79)) % 0.38/0.59 (step @p81 :rule eq_resolve :premises (@p78 @p80)) % 0.38/0.59 (step @p82 :rule cong :premises (@p81) :args (@t18)) % 0.38/0.59 (step @p83 :rule cong :premises (@p82) :args (@t19)) % 0.38/0.59 (step @p84 :rule refl :args (@t21)) % 0.38/0.59 (step @p85 :rule cong :premises (@p84 @p45) :args ((= @t21 @t40))) % 0.38/0.59 (step @p86 :rule symm :premises (@p85)) % 0.38/0.59 (step @p87 :rule eq_resolve :premises (@p84 @p86)) % 0.38/0.59 (step @p88 :rule cong :premises (@p87) :args (@t22)) % 0.38/0.59 (step @p89 :rule cong :premises (@p88) :args (@t23)) % 0.38/0.59 (step @p90 :rule refl :args (@t25)) % 0.38/0.59 (step @p91 :rule refl :args (@t26)) % 0.38/0.59 (step @p92 :rule nary_cong :premises (@p91 @p90 @p89 @p83) :args (@t27)) % 0.38/0.59 (step @p93 :rule refl :args (@t4)) % 0.38/0.59 (step @p94 :rule ho_cong :premises (@p93 @p92)) % 0.38/0.59 (step @p95 :rule cong :premises (@p94) :args (@t30)) % 0.38/0.59 (step @p96 :rule trans :premises (@p95 @p77)) % 0.38/0.59 (step @p97 :rule cong :premises (@p96) :args (@t31)) % 0.38/0.59 (step @p98 :rule trans :premises (@p97 @p40)) % 0.38/0.59 (step @p99 :rule eq_resolve :premises (@p11 @p98)) % 0.38/0.59 (step @p100 :rule eq-refl :args (@t59)) % 0.38/0.59 (step @p101 :rule skolem_intro :args (@t60)) % 0.38/0.59 (step @p102 :rule refl :args (@t59)) % 0.38/0.59 (step @p103 :rule cong :premises (@p102 @p101) :args ((= @t59 @t60))) % 0.38/0.59 (step @p104 :rule trans :premises (@p103 @p100)) % 0.38/0.59 (step @p105 :rule true_elim :premises (@p104)) % 0.38/0.59 (step @p106 :rule refl :args (@t33)) % 0.38/0.59 (step @p107 :rule cong :premises (@p106 @p105) :args (@t61)) % 0.38/0.59 (step @p108 :rule cong :premises (@p107) :args (@t62)) % 0.38/0.59 (step @p109 :rule refl :args (@t47)) % 0.38/0.59 (step @p110 :rule cong :premises (@p109 @p108) :args ((=> @t47 @t62))) % 0.38/0.59 (assume-push @p497 @t47) % 0.38/0.59 (step @p112 :rule instantiate :premises (@p99) :args ((@list tptp.parent_THFTYPE_IiioI tptp.likes_THFTYPE_IiioI tptp.lMary_THFTYPE_i))) % 0.38/0.59 (step-pop @p498 :rule scope :premises (@p112)) % 0.38/0.59 (step @p113 :rule process_scope :premises (@p498) :args (@t62)) % 0.38/0.59 (step @p115 :rule eq_resolve :premises (@p113 @p110)) % 0.38/0.59 (step @p116 :rule implies_elim :premises (@p115)) % 0.38/0.59 (step @p117 :rule chain_m_resolution :premises (@p116 @p99) :args (@t64 @t65 @t66)) % 0.38/0.59 (step @p118 :rule eq-symm :args (@t57 @t32)) % 0.38/0.59 (step @p119 :rule refl :args (@t32)) % 0.38/0.59 (step @p120 :rule refl :args (@t57)) % 0.38/0.59 (step @p121 :rule refl :args (@t2)) % 0.38/0.59 (step @p122 :rule cong :premises (@p121 @p120) :args ((= @t2 @t57))) % 0.38/0.59 (step @p123 :rule symm :premises (@p122)) % 0.38/0.59 (step @p124 :rule eq_resolve :premises (@p121 @p123)) % 0.38/0.59 (step @p125 :rule cong :premises (@p124 @p119) :args (@t36)) % 0.38/0.59 (step @p126 :rule trans :premises (@p125 @p118)) % 0.38/0.59 (step @p127 :rule eq-symm :args (@t32 @t2)) % 0.38/0.59 (step @p128 :rule trans :premises (@p127 @p126)) % 0.38/0.59 (step @p129 :rule eq_resolve :premises (@p26 @p128)) % 0.38/0.59 (step @p130 :rule equiv_elim1 :premises (@p129)) % 0.38/0.59 (step @p131 :rule reordering :premises (@p130) :args ((or @t57 @t67))) % 0.38/0.59 (step @p132 :rule eq-refl :args (@t68)) % 0.38/0.59 (step @p133 :rule skolem_intro :args (@t69)) % 0.38/0.59 (step @p134 :rule refl :args (@t68)) % 0.38/0.59 (step @p135 :rule cong :premises (@p134 @p133) :args ((= @t68 @t69))) % 0.38/0.59 (step @p136 :rule trans 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:rule cong :premises (@p388 @p387) :args ((= @t7 @t101))) % 0.38/0.59 (step @p390 :rule symm :premises (@p389)) % 0.38/0.59 (step @p391 :rule eq_resolve :premises (@p388 @p390)) % 0.38/0.59 (step @p392 :rule cong :premises (@p391) :args (@t8)) % 0.38/0.59 (step @p393 :rule cong :premises (@p392 @p386) :args (@t104)) % 0.38/0.59 (step @p394 :rule trans :premises (@p393 @p385)) % 0.38/0.59 (step @p395 :rule eq-symm :args (@t103 @t8)) % 0.38/0.59 (step @p396 :rule trans :premises (@p395 @p394)) % 0.38/0.59 (step @p397 :rule skolem_intro :args (@t103)) % 0.38/0.59 (step @p398 :rule eq_resolve :premises (@p397 @p396)) % 0.38/0.59 (step @p399 :rule equiv_elim1 :premises (@p398)) % 0.38/0.59 (step @p400 :rule reordering :premises (@p399) :args ((or @t102 @t105))) % 0.38/0.59 (step @p401 :rule refl :args ((tptp.holdsDuring_THFTYPE_IiooI @t3 @t103))) % 0.38/0.59 (step @p402 :rule refl :args (@t103)) % 0.38/0.59 (step @p403 :rule cong :premises (@p15 @p402) :args (@t106)) % 0.38/0.59 (step @p404 :rule trans :premises (@p403 @p401)) % 0.38/0.59 (step @p405 :rule ho_cong :premises (@p19 @p402)) % 0.38/0.59 (step @p406 :rule cong :premises (@p405 @p404) :args ((= (_ @t35 @t103) @t106))) % 0.38/0.59 (step @p407 :rule symm :premises (@p406)) % 0.38/0.59 (step @p408 :rule refl :args ((_ @t4 @t103))) % 0.38/0.59 (step @p409 :rule eq_resolve :premises (@p408 @p407)) % 0.38/0.59 (step @p410 :rule eq-refl :args (@t8)) % 0.38/0.59 (step @p411 :rule refl :args (@t8)) % 0.38/0.59 (step @p412 :rule cong :premises (@p411 @p397) :args (@t104)) % 0.38/0.59 (step @p413 :rule trans :premises (@p412 @p410)) % 0.38/0.59 (step @p414 :rule true_elim :premises (@p413)) % 0.38/0.59 (step @p415 :rule ho_cong :premises (@p36 @p414)) % 0.38/0.59 (step @p416 :rule trans :premises (@p415 @p409)) % 0.38/0.59 (step @p417 :rule eq_resolve :premises (@p3 @p416)) % 0.38/0.59 (step @p418 :rule bool-double-not-elim :args (@t103)) % 0.38/0.59 (step @p419 :rule refl :args (@t107)) % 0.38/0.59 (step @p420 :rule nary_cong :premises (@p419 @p418 @p148 @p244) :args ((or @t107 (not @t105) @t76 @t87))) % 0.38/0.59 (assume-push @p569 @t73) % 0.38/0.59 (assume-push @p570 @t74) % 0.38/0.59 (assume-push @p571 @t105) % 0.38/0.59 (assume-push @p572 @t106) % 0.38/0.59 (step @p252 :rule evaluate :args (@t89)) % 0.38/0.59 (step @p164 :rule false_intro :premises (@p147)) % 0.38/0.59 (step @p425 :rule false_intro :premises (@p570)) % 0.38/0.59 (step @p426 :rule symm :premises (@p425)) % 0.38/0.59 (step @p427 :rule false_intro :premises (@p571)) % 0.38/0.59 (step @p428 :rule trans :premises (@p427 @p426)) % 0.38/0.59 (step @p429 :rule cong :premises (@p106 @p428) :args (@t106)) % 0.38/0.59 (step @p430 :rule true_intro :premises (@p417)) % 0.38/0.59 (step @p431 :rule symm :premises (@p430)) % 0.38/0.59 (step @p432 :rule trans :premises (@p431 @p429 @p164)) % 0.38/0.59 (step @p433 false :rule eq_resolve :premises (@p432 @p252)) % 0.38/0.59 (step-pop @p573 :rule scope :premises (@p433)) % 0.38/0.59 (step-pop @p574 :rule scope :premises (@p573)) % 0.38/0.59 (step-pop @p575 :rule scope :premises (@p574)) % 0.38/0.59 (step-pop @p576 :rule scope :premises (@p575)) % 0.38/0.59 (step @p434 :rule process_scope :premises (@p576) :args (false)) % 0.38/0.59 (assume-push @p577 @t106) % 0.38/0.59 (assume-push @p578 @t105) % 0.38/0.59 (assume-push @p579 @t73) % 0.38/0.59 (assume-push @p580 @t74) % 0.38/0.59 (step @p443 :rule and_intro :premises (@p147 @p580 @p578 @p417)) % 0.38/0.59 (step-pop @p581 :rule scope :premises (@p443)) % 0.38/0.59 (step-pop @p582 :rule scope :premises (@p581)) % 0.38/0.59 (step-pop @p583 :rule scope :premises (@p582)) % 0.38/0.59 (step-pop @p584 :rule scope :premises (@p583)) % 0.38/0.59 (step @p444 :rule process_scope :premises (@p584) :args (@t108)) % 0.38/0.59 (step @p449 :rule implies_elim :premises (@p444)) % 0.38/0.59 (step @p450 :rule resolution :premises (@p449 @p434) :args (true @t108)) % 0.38/0.59 (step @p451 :rule not_and :premises (@p450)) % 0.38/0.59 (step @p452 :rule eq_resolve :premises (@p451 @p420)) % 0.38/0.59 (step @p453 :rule reordering :premises (@p452) :args ((or @t103 @t107 @t69 @t72))) % 0.38/0.59 (step @p454 :rule chain_m_resolution :premises (@p453 @p147 @p417 @p400 @p384 @p378 @p370 @p356 @p147 @p320 @p302 @p296 @p281 @p147 @p243 @p225 @p223 @p117 @p39 @p187 @p147 @p39 @p131) :args (@t67 (@list true false true false false false false true false true true false true false true true true false true true false false) (@list @t72 @t106 @t103 @t101 @t53 @t58 @t93 @t72 @t94 @t55 @t91 @t83 @t72 @t84 @t59 @t60 @t63 @t34 @t69 @t72 @t34 @t57))) % 0.38/0.59 (step @p455 :rule equiv_elim2 :premises (@p129)) % 0.38/0.59 (step @p456 :rule chain_m_resolution :premises (@p455 @p454) :args (@t99 @t109 (@list @t32))) % 0.38/0.59 (step @p457 :rule cnf_and_pos :args (@t59 1)) % 0.38/0.59 (step @p458 :rule reordering :premises (@p457) :args ((or @t57 @t82))) % 0.38/0.59 (step @p459 :rule chain_m_resolution :premises (@p458 @p456) :args (@t82 @t109 (@list @t57))) % 0.38/0.59 (step @p460 :rule equiv_elim2 :premises (@p105)) % 0.38/0.59 (step @p461 :rule chain_m_resolution :premises (@p460 @p459) :args (@t79 @t109 (@list @t59))) % 0.38/0.59 (step @p462 :rule bool-double-not-elim :args (@t60)) % 0.38/0.59 (step @p463 :rule bool-double-not-elim :args (@t32)) % 0.38/0.59 (step @p464 :rule nary_cong :premises (@p150 @p463 @p188 @p462) :args ((or @t75 (not @t67) @t80 (not @t79)))) % 0.38/0.59 (assume-push @p585 @t34) % 0.38/0.59 (assume-push @p586 @t67) % 0.38/0.59 (assume-push @p587 @t79) % 0.38/0.59 (assume-push @p588 @t64) % 0.38/0.59 (step @p157 :rule evaluate :args (@t77)) % 0.38/0.59 (step @p158 :rule true_intro :premises (@p39)) % 0.38/0.59 (step @p469 :rule false_intro :premises (@p586)) % 0.38/0.59 (step @p470 :rule symm :premises (@p469)) % 0.38/0.59 (step @p471 :rule false_intro :premises (@p587)) % 0.38/0.59 (step @p472 :rule trans :premises (@p471 @p470)) % 0.38/0.59 (step @p473 :rule cong :premises (@p106 @p472) :args (@t63)) % 0.38/0.59 (step @p200 :rule false_intro :premises (@p117)) % 0.38/0.59 (step @p201 :rule symm :premises (@p200)) % 0.38/0.59 (step @p474 :rule trans :premises (@p201 @p473 @p158)) % 0.38/0.59 (step @p475 false :rule eq_resolve :premises (@p474 @p157)) % 0.38/0.59 (step-pop @p589 :rule scope :premises (@p475)) % 0.38/0.59 (step-pop @p590 :rule scope :premises (@p589)) % 0.38/0.59 (step-pop @p591 :rule scope :premises (@p590)) % 0.38/0.59 (step-pop @p592 :rule scope :premises (@p591)) % 0.38/0.59 (step @p476 :rule process_scope :premises (@p592) :args (false)) % 0.38/0.59 (assume-push @p593 @t34) % 0.38/0.59 (assume-push @p594 @t67) % 0.38/0.59 (assume-push @p595 @t64) % 0.38/0.59 (assume-push @p596 @t79) % 0.38/0.59 (step @p485 :rule and_intro :premises (@p39 @p594 @p596 @p117)) % 0.38/0.59 (step-pop @p597 :rule scope :premises (@p485)) % 0.38/0.59 (step-pop @p598 :rule scope :premises (@p597)) % 0.38/0.59 (step-pop @p599 :rule scope :premises (@p598)) % 0.38/0.59 (step-pop @p600 :rule scope :premises (@p599)) % 0.38/0.59 (step @p486 :rule process_scope :premises (@p600) :args (@t110)) % 0.38/0.59 (step @p491 :rule implies_elim :premises (@p486)) % 0.38/0.59 (step @p492 :rule resolution :premises (@p491 @p476) :args (true @t110)) % 0.38/0.59 (step @p493 :rule not_and :premises (@p492)) % 0.38/0.59 (step @p494 :rule eq_resolve :premises (@p493 @p464)) % 0.38/0.59 (step @p495 :rule reordering :premises (@p494) :args ((or @t32 @t75 @t60 @t63))) % 0.38/0.59 (step @p496 false :rule chain_m_resolution :premises (@p495 @p461 @p454 @p117 @p39) :args (false (@list true true true false) (@list @t60 @t32 @t63 @t34))) % 0.38/0.59 ) % 0.38/0.59 % SZS output end Proof % 0.38/0.59 % cvc5 exiting %------------------------------------------------------------------------------