%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP001^5 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n019.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 08:19:33 AM UTC 2026 % Result : Theorem 1.33s 1.55s % Output : Proof 1.33s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GRP001^5 : TPTP v9.2.1. Released v4.0.0. % 0.13/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n019.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 00:39:19 EDT 2026 % 0.17/0.35 % CPUTime : % 0.31/0.49 %----Proving TH0 % 1.33/1.55 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 1.33/1.55 % SZS status Theorem % 1.33/1.55 % SZS output start Proof % 1.33/1.55 ( % 1.33/1.55 (declare-sort $$unsorted 0) % 1.33/1.55 (declare-const tptp.e $$unsorted) % 1.33/1.55 (declare-const tptp.cP (-> $$unsorted $$unsorted $$unsorted)) % 1.33/1.55 (define @t1 () (@var "Xa" $$unsorted)) % 1.33/1.55 (define @t2 () (@var "Xb" $$unsorted)) % 1.33/1.55 (define @t3 () (_ (_ tptp.cP @t2) @t1)) % 1.33/1.55 (define @t4 () (_ (_ tptp.cP @t1) @t2)) % 1.33/1.55 (define @t5 () (= @t4 @t3)) % 1.33/1.55 (define @t6 () (@list @t1 @t2)) % 1.33/1.55 (define @t7 () (forall @t6 @t5)) % 1.33/1.55 (define @t8 () (@var "Xz" $$unsorted)) % 1.33/1.55 (define @t9 () (@var "Xy" $$unsorted)) % 1.33/1.55 (define @t10 () (_ tptp.cP @t9)) % 1.33/1.55 (define @t11 () (_ @t10 @t8)) % 1.33/1.55 (define @t12 () (@var "Xx" $$unsorted)) % 1.33/1.55 (define @t13 () (_ tptp.cP @t12)) % 1.33/1.55 (define @t14 () (_ @t13 @t11)) % 1.33/1.55 (define @t15 () (_ @t13 @t9)) % 1.33/1.55 (define @t16 () (_ (_ tptp.cP @t15) @t8)) % 1.33/1.55 (define @t17 () (= @t16 @t14)) % 1.33/1.55 (define @t18 () (forall (@list @t12 @t9 @t8) @t17)) % 1.33/1.55 (define @t19 () (_ (_ tptp.cP @t8) @t8)) % 1.33/1.55 (define @t20 () (@list @t8)) % 1.33/1.55 (define @t21 () (forall @t20 (= @t19 tptp.e))) % 1.33/1.55 (define @t22 () (_ @t10 tptp.e)) % 1.33/1.55 (define @t23 () (@list @t9)) % 1.33/1.55 (define @t24 () (forall @t23 (= @t22 @t9))) % 1.33/1.55 (define @t25 () (_ (_ tptp.cP tptp.e) @t12)) % 1.33/1.55 (define @t26 () (@list @t12)) % 1.33/1.55 (define @t27 () (forall @t26 (= @t25 @t12))) % 1.33/1.55 (define @t28 () (and @t27 @t24 @t21 @t18)) % 1.33/1.55 (define @t29 () (=> @t28 @t7)) % 1.33/1.55 (define @t30 () (not @t29)) % 1.33/1.55 (define @t31 () (tptp.cP @t2 @t1)) % 1.33/1.55 (define @t32 () (tptp.cP @t1 @t2)) % 1.33/1.55 (define @t33 () (tptp.cP @t9 @t8)) % 1.33/1.55 (define @t34 () (tptp.cP @t12 @t33)) % 1.33/1.55 (define @t35 () (tptp.cP @t12 @t9)) % 1.33/1.55 (define @t36 () (tptp.cP @t35 @t8)) % 1.33/1.55 (define @t37 () (tptp.cP @t8 @t8)) % 1.33/1.55 (define @t38 () (= tptp.e @t19)) % 1.33/1.55 (define @t39 () (tptp.cP @t9 tptp.e)) % 1.33/1.55 (define @t40 () (= @t9 @t22)) % 1.33/1.55 (define @t41 () (tptp.cP tptp.e @t12)) % 1.33/1.55 (define @t42 () (= @t12 @t25)) % 1.33/1.55 (define @t43 () (forall @t6 (= @t32 @t31))) % 1.33/1.55 (define @t44 () (@quantifiers_skolemize @t43 1)) % 1.33/1.55 (define @t45 () (@list @t44)) % 1.33/1.55 (define @t46 () (@quantifiers_skolemize @t43 0)) % 1.33/1.55 (define @t47 () (@list @t46)) % 1.33/1.55 (define @t48 () (tptp.cP @t44 @t46)) % 1.33/1.55 (define @t49 () (tptp.cP @t46 @t44)) % 1.33/1.55 (define @t50 () (tptp.cP @t48 @t44)) % 1.33/1.55 (define @t51 () (tptp.cP @t44 @t44)) % 1.33/1.55 (define @t52 () (tptp.cP @t51 @t50)) % 1.33/1.55 (define @t53 () (tptp.cP @t44 @t52)) % 1.33/1.55 (define @t54 () (tptp.cP @t52 @t44)) % 1.33/1.55 (define @t55 () (tptp.cP @t44 tptp.e)) % 1.33/1.55 (define @t56 () (= @t44 @t55)) % 1.33/1.55 (define @t57 () (= tptp.e @t51)) % 1.33/1.55 (define @t58 () (tptp.cP @t46 @t55)) % 1.33/1.55 (define @t59 () (tptp.cP @t49 tptp.e)) % 1.33/1.55 (define @t60 () (= @t59 @t58)) % 1.33/1.55 (define @t61 () (tptp.cP @t51 @t44)) % 1.33/1.55 (define @t62 () (= @t61 (tptp.cP @t44 @t51))) % 1.33/1.55 (define @t63 () (tptp.cP tptp.e @t46)) % 1.33/1.55 (define @t64 () (= @t46 @t63)) % 1.33/1.55 (define @t65 () (tptp.cP @t63 @t44)) % 1.33/1.55 (define @t66 () (= @t65 (tptp.cP tptp.e @t49))) % 1.33/1.55 (define @t67 () (tptp.cP @t44 @t48)) % 1.33/1.55 (define @t68 () (= (tptp.cP @t51 @t46) @t67)) % 1.33/1.55 (define @t69 () (= @t46 (tptp.cP @t46 tptp.e))) % 1.33/1.55 (define @t70 () (tptp.cP @t46 @t51)) % 1.33/1.55 (define @t71 () (tptp.cP @t49 @t44)) % 1.33/1.55 (define @t72 () (= @t71 @t70)) % 1.33/1.55 (define @t73 () (tptp.cP @t44 @t50)) % 1.33/1.55 (define @t74 () (= (tptp.cP @t67 @t44) @t73)) % 1.33/1.55 (define @t75 () (tptp.cP @t44 @t71)) % 1.33/1.55 (define @t76 () (tptp.cP @t44 @t49)) % 1.33/1.55 (define @t77 () (= (tptp.cP @t76 @t44) @t75)) % 1.33/1.55 (define @t78 () (= @t50 @t76)) % 1.33/1.55 (define @t79 () (tptp.cP tptp.e @t76)) % 1.33/1.55 (define @t80 () (= (tptp.cP (tptp.cP tptp.e @t44) @t49) @t79)) % 1.33/1.55 (define @t81 () (tptp.cP @t52 @t52)) % 1.33/1.55 (define @t82 () (= tptp.e @t81)) % 1.33/1.55 (define @t83 () (tptp.cP @t52 (tptp.cP @t52 @t49))) % 1.33/1.55 (define @t84 () (tptp.cP @t81 @t49)) % 1.33/1.55 (define @t85 () (= @t84 @t83)) % 1.33/1.55 (define @t86 () (tptp.cP @t44 @t81)) % 1.33/1.55 (define @t87 () (tptp.cP @t53 @t52)) % 1.33/1.55 (define @t88 () (= @t87 @t86)) % 1.33/1.55 (define @t89 () (tptp.cP @t87 @t46)) % 1.33/1.55 (define @t90 () (= @t89 (tptp.cP @t53 (tptp.cP @t52 @t46)))) % 1.33/1.55 (define @t91 () (tptp.cP @t50 @t46)) % 1.33/1.55 (define @t92 () (= @t91 (tptp.cP @t48 @t48))) % 1.33/1.55 (define @t93 () (tptp.cP @t54 @t54)) % 1.33/1.55 (define @t94 () (= tptp.e @t93)) % 1.33/1.55 (define @t95 () (= @t49 @t48)) % 1.33/1.55 (define @t96 () (and @t56 @t57 @t60 @t62 @t64 @t66 @t68 @t69 @t72 @t74 @t77 @t78 @t80 @t82 @t85 @t88 @t90 @t92 @t94)) % 1.33/1.55 (assume @p1 @t30) % 1.33/1.55 (assume @p2 true) % 1.33/1.55 (step @p3 :rule refl :args (@t31)) % 1.33/1.55 (step @p4 :rule refl :args (@t3)) % 1.33/1.55 (step @p5 :rule cong :premises (@p4 @p3) :args ((= @t3 @t31))) % 1.33/1.55 (step @p6 :rule symm :premises (@p5)) % 1.33/1.55 (step @p7 :rule eq_resolve :premises (@p4 @p6)) % 1.33/1.55 (step @p8 :rule refl :args (@t32)) % 1.33/1.55 (step @p9 :rule refl :args (@t4)) % 1.33/1.55 (step @p10 :rule cong :premises (@p9 @p8) :args ((= @t4 @t32))) % 1.33/1.55 (step @p11 :rule symm :premises (@p10)) % 1.33/1.55 (step @p12 :rule eq_resolve :premises (@p9 @p11)) % 1.33/1.55 (step @p13 :rule cong :premises (@p12 @p7) :args (@t5)) % 1.33/1.55 (step @p14 :rule cong :premises (@p13) :args (@t7)) % 1.33/1.55 (step @p15 :rule refl :args ((tptp.cP @t12 @t11))) % 1.33/1.55 (step @p16 :rule refl :args (@t33)) % 1.33/1.55 (step @p17 :rule refl :args (@t12)) % 1.33/1.55 (step @p18 :rule cong :premises (@p17 @p16) :args (@t34)) % 1.33/1.55 (step @p19 :rule trans :premises (@p18 @p15)) % 1.33/1.55 (step @p20 :rule refl :args (@t13)) % 1.33/1.55 (step @p21 :rule ho_cong :premises (@p20 @p16)) % 1.33/1.55 (step @p22 :rule cong :premises (@p21 @p19) :args ((= (_ @t13 @t33) @t34))) % 1.33/1.55 (step @p23 :rule symm :premises (@p22)) % 1.33/1.55 (step @p24 :rule refl :args (@t14)) % 1.33/1.55 (step @p25 :rule eq_resolve :premises (@p24 @p23)) % 1.33/1.55 (step @p26 :rule refl :args (@t11)) % 1.33/1.55 (step @p27 :rule cong :premises (@p26 @p16) :args ((= @t11 @t33))) % 1.33/1.55 (step @p28 :rule symm :premises (@p27)) % 1.33/1.55 (step @p29 :rule eq_resolve :premises (@p26 @p28)) % 1.33/1.55 (step @p30 :rule ho_cong :premises (@p20 @p29)) % 1.33/1.55 (step @p31 :rule trans :premises (@p30 @p25)) % 1.33/1.55 (step @p32 :rule refl :args ((tptp.cP @t15 @t8))) % 1.33/1.55 (step @p33 :rule refl :args (@t8)) % 1.33/1.55 (step @p34 :rule refl :args (@t35)) % 1.33/1.55 (step @p35 :rule cong :premises (@p34 @p33) :args (@t36)) % 1.33/1.55 (step @p36 :rule trans :premises (@p35 @p32)) % 1.33/1.55 (step @p37 :rule refl :args (tptp.cP)) % 1.33/1.55 (step @p38 :rule ho_cong :premises (@p37 @p34)) % 1.33/1.55 (step @p39 :rule ho_cong :premises (@p38 @p33)) % 1.33/1.55 (step @p40 :rule cong :premises (@p39 @p36) :args ((= (_ (_ tptp.cP @t35) @t8) @t36))) % 1.33/1.55 (step @p41 :rule symm :premises (@p40)) % 1.33/1.55 (step @p42 :rule refl :args (@t16)) % 1.33/1.55 (step @p43 :rule eq_resolve :premises (@p42 @p41)) % 1.33/1.55 (step @p44 :rule refl :args (@t15)) % 1.33/1.55 (step @p45 :rule cong :premises (@p44 @p34) :args ((= @t15 @t35))) % 1.33/1.55 (step @p46 :rule symm :premises (@p45)) % 1.33/1.55 (step @p47 :rule eq_resolve :premises (@p44 @p46)) % 1.33/1.55 (step @p48 :rule ho_cong :premises (@p37 @p47)) % 1.33/1.55 (step @p49 :rule ho_cong :premises (@p48 @p33)) % 1.33/1.55 (step @p50 :rule trans :premises (@p49 @p43)) % 1.33/1.55 (step @p51 :rule cong :premises (@p50 @p31) :args (@t17)) % 1.33/1.55 (step @p52 :rule cong :premises (@p51) :args (@t18)) % 1.33/1.55 (step @p53 :rule refl :args (@t37)) % 1.33/1.55 (step @p54 :rule refl :args (@t19)) % 1.33/1.55 (step @p55 :rule cong :premises (@p54 @p53) :args ((= @t19 @t37))) % 1.33/1.55 (step @p56 :rule symm :premises (@p55)) % 1.33/1.55 (step @p57 :rule eq_resolve :premises (@p54 @p56)) % 1.33/1.55 (step @p58 :rule refl :args (tptp.e)) % 1.33/1.55 (step @p59 :rule cong :premises (@p58 @p57) :args (@t38)) % 1.33/1.55 (step @p60 :rule cong :premises (@p59) :args ((forall @t20 @t38))) % 1.33/1.55 (step @p61 :rule eq-symm :args (@t19 tptp.e)) % 1.33/1.55 (step @p62 :rule cong :premises (@p61) :args (@t21)) % 1.33/1.55 (step @p63 :rule trans :premises (@p62 @p60)) % 1.33/1.55 (step @p64 :rule refl :args (@t39)) % 1.33/1.55 (step @p65 :rule refl :args (@t22)) % 1.33/1.55 (step @p66 :rule cong :premises (@p65 @p64) :args ((= @t22 @t39))) % 1.33/1.55 (step @p67 :rule symm :premises (@p66)) % 1.33/1.55 (step @p68 :rule eq_resolve :premises (@p65 @p67)) % 1.33/1.55 (step @p69 :rule refl :args (@t9)) % 1.33/1.55 (step @p70 :rule cong :premises (@p69 @p68) :args (@t40)) % 1.33/1.55 (step @p71 :rule cong :premises (@p70) :args ((forall @t23 @t40))) % 1.33/1.55 (step @p72 :rule eq-symm :args (@t22 @t9)) % 1.33/1.55 (step @p73 :rule cong :premises (@p72) :args (@t24)) % 1.33/1.55 (step @p74 :rule trans :premises (@p73 @p71)) % 1.33/1.55 (step @p75 :rule refl :args (@t41)) % 1.33/1.55 (step @p76 :rule refl :args (@t25)) % 1.33/1.55 (step @p77 :rule cong :premises (@p76 @p75) :args ((= @t25 @t41))) % 1.33/1.55 (step @p78 :rule symm :premises (@p77)) % 1.33/1.55 (step @p79 :rule eq_resolve :premises (@p76 @p78)) % 1.33/1.55 (step @p80 :rule cong :premises (@p17 @p79) :args (@t42)) % 1.33/1.55 (step @p81 :rule cong :premises (@p80) :args ((forall @t26 @t42))) % 1.33/1.55 (step @p82 :rule eq-symm :args (@t25 @t12)) % 1.33/1.55 (step @p83 :rule cong :premises (@p82) :args (@t27)) % 1.33/1.55 (step @p84 :rule trans :premises (@p83 @p81)) % 1.33/1.55 (step @p85 :rule nary_cong :premises (@p84 @p74 @p63 @p52) :args (@t28)) % 1.33/1.55 (step @p86 :rule cong :premises (@p85 @p14) :args (@t29)) % 1.33/1.55 (step @p87 :rule cong :premises (@p86) :args (@t30)) % 1.33/1.55 (step @p88 :rule eq_resolve :premises (@p1 @p87)) % 1.33/1.55 (step @p89 :rule not_implies_elim2 :premises (@p88)) % 1.33/1.55 (step @p90 :rule skolemize :premises (@p89)) % 1.33/1.55 (step @p91 :rule not_implies_elim1 :premises (@p88)) % 1.33/1.55 (step @p92 :rule and_elim :premises (@p91) :args (1)) % 1.33/1.55 (step @p93 :rule instantiate :premises (@p92) :args (@t45)) % 1.33/1.55 (step @p94 :rule and_elim :premises (@p91) :args (2)) % 1.33/1.55 (step @p95 :rule instantiate :premises (@p94) :args (@t45)) % 1.33/1.55 (step @p96 :rule and_elim :premises (@p91) :args (3)) % 1.33/1.55 (step @p97 :rule instantiate :premises (@p96) :args ((@list @t46 @t44 tptp.e))) % 1.33/1.55 (step @p98 :rule instantiate :premises (@p96) :args ((@list @t44 @t44 @t44))) % 1.33/1.55 (step @p99 :rule and_elim :premises (@p91) :args (0)) % 1.33/1.55 (step @p100 :rule instantiate :premises (@p99) :args (@t47)) % 1.33/1.55 (step @p101 :rule instantiate :premises (@p96) :args ((@list tptp.e @t46 @t44))) % 1.33/1.55 (step @p102 :rule instantiate :premises (@p96) :args ((@list @t44 @t44 @t46))) % 1.33/1.55 (step @p103 :rule instantiate :premises (@p92) :args (@t47)) % 1.33/1.55 (step @p104 :rule instantiate :premises (@p96) :args ((@list @t46 @t44 @t44))) % 1.33/1.55 (step @p105 :rule instantiate :premises (@p96) :args ((@list @t44 @t48 @t44))) % 1.33/1.55 (step @p106 :rule instantiate :premises (@p96) :args ((@list @t44 @t49 @t44))) % 1.33/1.55 (step @p107 :rule instantiate :premises (@p96) :args ((@list @t44 @t46 @t44))) % 1.33/1.55 (step @p108 :rule instantiate :premises (@p96) :args ((@list tptp.e @t44 @t49))) % 1.33/1.55 (step @p109 :rule instantiate :premises (@p94) :args ((@list @t52))) % 1.33/1.55 (step @p110 :rule instantiate :premises (@p96) :args ((@list @t52 @t52 @t49))) % 1.33/1.55 (step @p111 :rule instantiate :premises (@p96) :args ((@list @t44 @t52 @t52))) % 1.33/1.55 (step @p112 :rule instantiate :premises (@p96) :args ((@list @t53 @t52 @t46))) % 1.33/1.55 (step @p113 :rule instantiate :premises (@p96) :args ((@list @t48 @t44 @t46))) % 1.33/1.55 (step @p114 :rule instantiate :premises (@p94) :args ((@list @t54))) % 1.33/1.55 (assume-push @p217 @t56) % 1.33/1.55 (assume-push @p218 @t57) % 1.33/1.55 (assume-push @p219 @t60) % 1.33/1.55 (assume-push @p220 @t62) % 1.33/1.55 (assume-push @p221 @t64) % 1.33/1.55 (assume-push @p222 @t66) % 1.33/1.55 (assume-push @p223 @t68) % 1.33/1.55 (assume-push @p224 @t69) % 1.33/1.55 (assume-push @p225 @t72) % 1.33/1.55 (assume-push @p226 @t74) % 1.33/1.55 (assume-push @p227 @t77) % 1.33/1.55 (assume-push @p228 @t78) % 1.33/1.55 (assume-push @p229 @t80) % 1.33/1.55 (assume-push @p230 @t82) % 1.33/1.55 (assume-push @p231 @t85) % 1.33/1.55 (assume-push @p232 @t88) % 1.33/1.55 (assume-push @p233 @t90) % 1.33/1.55 (assume-push @p234 @t92) % 1.33/1.55 (assume-push @p235 @t94) % 1.33/1.55 (step @p134 :rule refl :args (@t46)) % 1.33/1.55 (step @p135 :rule symm :premises (@p93)) % 1.33/1.55 (step @p136 :rule symm :premises (@p109)) % 1.33/1.55 (step @p137 :rule refl :args (@t44)) % 1.33/1.55 (step @p138 :rule cong :premises (@p137 @p136) :args (@t86)) % 1.33/1.55 (step @p139 :rule trans :premises (@p111 @p138 @p135)) % 1.33/1.55 (step @p140 :rule cong :premises (@p139 @p134) :args (@t89)) % 1.33/1.55 (step @p141 :rule symm :premises (@p112)) % 1.33/1.55 (step @p142 :rule refl :args (@t50)) % 1.33/1.55 (step @p143 :rule cong :premises (@p95 @p142) :args ((tptp.cP tptp.e @t50))) % 1.33/1.55 (step @p144 :rule symm :premises (@p107)) % 1.33/1.55 (step @p145 :rule refl :args (tptp.e)) % 1.33/1.55 (step @p146 :rule cong :premises (@p145 @p144) :args (@t79)) % 1.33/1.55 (step @p147 :rule refl :args (@t49)) % 1.33/1.55 (step @p148 :rule symm :premises (@p95)) % 1.33/1.55 (step @p149 :rule cong :premises (@p148 @p137) :args (@t61)) % 1.33/1.55 (step @p150 :rule symm :premises (@p98)) % 1.33/1.55 (step @p151 :rule cong :premises (@p137 @p95) :args (@t55)) % 1.33/1.55 (step @p152 :rule trans :premises (@p93 @p151 @p150 @p149)) % 1.33/1.55 (step @p153 :rule cong :premises (@p152 @p147) :args (@t76)) % 1.33/1.55 (step @p154 :rule trans :premises (@p153 @p108 @p146 @p143)) % 1.33/1.55 (step @p155 :rule trans :premises (@p107 @p154)) % 1.33/1.55 (step @p156 :rule cong :premises (@p155 @p134) :args (@t91)) % 1.33/1.55 (step @p157 :rule symm :premises (@p113)) % 1.33/1.55 (step @p158 :rule refl :args (@t48)) % 1.33/1.55 (step @p159 :rule symm :premises (@p103)) % 1.33/1.55 (step @p160 :rule cong :premises (@p134 @p148) :args (@t70)) % 1.33/1.55 (step @p161 :rule trans :premises (@p104 @p160 @p159)) % 1.33/1.55 (step @p162 :rule cong :premises (@p137 @p161) :args (@t75)) % 1.33/1.55 (step @p163 :rule refl :args (@t76)) % 1.33/1.55 (step @p164 :rule cong :premises (@p163 @p135) :args ((tptp.cP @t76 @t55))) % 1.33/1.55 (step @p165 :rule symm :premises (@p154)) % 1.33/1.55 (step @p166 :rule cong :premises (@p165 @p93) :args (@t54)) % 1.33/1.55 (step @p167 :rule trans :premises (@p166 @p164 @p106 @p162)) % 1.33/1.55 (step @p168 :rule cong :premises (@p167 @p158) :args ((tptp.cP @t54 @t48))) % 1.33/1.56 (step @p169 :rule refl :args (@t54)) % 1.33/1.56 (step @p170 :rule cong :premises (@p169 @p167) :args (@t93)) % 1.33/1.56 (step @p171 :rule trans :premises (@p114 @p170 @p168 @p157 @p156)) % 1.33/1.56 (step @p172 :rule cong :premises (@p137 @p155) :args (@t73)) % 1.33/1.56 (step @p173 :rule cong :premises (@p95 @p134) :args (@t63)) % 1.33/1.56 (step @p174 :rule trans :premises (@p100 @p173 @p102)) % 1.33/1.56 (step @p175 :rule cong :premises (@p174 @p135) :args (@t58)) % 1.33/1.56 (step @p176 :rule cong :premises (@p134 @p93) :args (@t49)) % 1.33/1.56 (step @p177 :rule trans :premises (@p176 @p175 @p105 @p172)) % 1.33/1.56 (step @p178 :rule symm :premises (@p176)) % 1.33/1.56 (step @p179 :rule symm :premises (@p100)) % 1.33/1.56 (step @p180 :rule cong :premises (@p179 @p93) :args (@t65)) % 1.33/1.56 (step @p181 :rule symm :premises (@p101)) % 1.33/1.56 (step @p182 :rule cong :premises (@p136 @p147) :args (@t84)) % 1.33/1.56 (step @p183 :rule symm :premises (@p110)) % 1.33/1.56 (step @p184 :rule trans :premises (@p183 @p182 @p181 @p180 @p178)) % 1.33/1.56 (step @p185 :rule trans :premises (@p184 @p177)) % 1.33/1.56 (step @p186 :rule cong :premises (@p185 @p171) :args ((tptp.cP @t83 tptp.e))) % 1.33/1.56 (step @p187 :rule symm :premises (@p184)) % 1.33/1.56 (step @p188 :rule cong :premises (@p187 @p148) :args ((tptp.cP @t49 @t51))) % 1.33/1.56 (step @p189 :rule cong :premises (@p147 @p95) :args (@t59)) % 1.33/1.56 (step @p190 :rule symm :premises (@p97)) % 1.33/1.56 (step @p191 :rule trans :premises (@p176 @p190 @p189 @p188 @p186 @p141 @p140)) % 1.33/1.56 (step-pop @p236 :rule scope :premises (@p191)) % 1.33/1.56 (step-pop @p237 :rule scope :premises (@p236)) % 1.33/1.56 (step-pop @p238 :rule scope :premises (@p237)) % 1.33/1.56 (step-pop @p239 :rule scope :premises (@p238)) % 1.33/1.56 (step-pop @p240 :rule scope :premises (@p239)) % 1.33/1.56 (step-pop @p241 :rule scope :premises (@p240)) % 1.33/1.56 (step-pop @p242 :rule scope :premises (@p241)) % 1.33/1.56 (step-pop @p243 :rule scope :premises (@p242)) % 1.33/1.56 (step-pop @p244 :rule scope :premises (@p243)) % 1.33/1.56 (step-pop @p245 :rule scope :premises (@p244)) % 1.33/1.56 (step-pop @p246 :rule scope :premises (@p245)) % 1.33/1.56 (step-pop @p247 :rule scope :premises (@p246)) % 1.33/1.56 (step-pop @p248 :rule scope :premises (@p247)) % 1.33/1.56 (step-pop @p249 :rule scope :premises (@p248)) % 1.33/1.56 (step-pop @p250 :rule scope :premises (@p249)) % 1.33/1.56 (step-pop @p251 :rule scope :premises (@p250)) % 1.33/1.56 (step-pop @p252 :rule scope :premises (@p251)) % 1.33/1.56 (step-pop @p253 :rule scope :premises (@p252)) % 1.33/1.56 (step-pop @p254 :rule scope :premises (@p253)) % 1.33/1.56 (step @p192 :rule process_scope :premises (@p254) :args (@t95)) % 1.33/1.56 (step @p212 :rule implies_elim :premises (@p192)) % 1.33/1.56 (step @p213 :rule cnf_and_neg :args (@t96)) % 1.33/1.56 (step @p214 :rule resolution :premises (@p213 @p212) :args (true @t96)) % 1.33/1.56 (step @p215 :rule reordering :premises (@p214) :args ((or @t95 (not @t56) (not @t57) (not @t60) (not @t62) (not @t64) (not @t66) (not @t68) (not @t69) (not @t72) (not @t74) (not @t77) (not @t78) (not @t80) (not @t82) (not @t85) (not @t88) (not @t90) (not @t92) (not @t94)))) % 1.33/1.56 (step @p216 false :rule chain_m_resolution :premises (@p215 @p114 @p113 @p112 @p111 @p110 @p109 @p108 @p107 @p106 @p105 @p104 @p103 @p102 @p101 @p100 @p98 @p97 @p95 @p93 @p90) :args (false (@list false false false false false false false false false false false false false false false false false false false true) (@list @t94 @t92 @t90 @t88 @t85 @t82 @t80 @t78 @t77 @t74 @t72 @t69 @t68 @t66 @t64 @t62 @t60 @t57 @t56 @t95))) % 1.33/1.56 ) % 1.33/1.56 % SZS output end Proof % 1.33/1.56 % cvc5 exiting %------------------------------------------------------------------------------