%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : KLE007+3 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n008.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 08:28:02 AM UTC 2026 % Result : Theorem 0.63s 0.88s % Output : Proof 0.63s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : KLE007+3 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.19/0.35 % Computer : n008.cluster.edu % 0.19/0.35 % Model : x86_64 x86_64 % 0.19/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.19/0.35 % Memory : 8042.1875MB % 0.19/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.19/0.35 % CPULimit : 300 % 0.19/0.35 % WCLimit : 300 % 0.19/0.35 % DateTime : Tue Jun 2 05:09:48 EDT 2026 % 0.19/0.35 % CPUTime : % 0.32/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.63/0.88 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.63/0.88 % SZS status Theorem % 0.63/0.88 % SZS output start Proof % 0.63/0.88 ( % 0.63/0.88 (declare-sort $$unsorted 0) % 0.63/0.88 (declare-const tptp.c (-> $$unsorted $$unsorted)) % 0.63/0.88 (declare-const tptp.test (-> $$unsorted Bool)) % 0.63/0.88 (declare-const tptp.complement (-> $$unsorted $$unsorted Bool)) % 0.63/0.88 (declare-const tptp.multiplication (-> $$unsorted $$unsorted $$unsorted)) % 0.63/0.88 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.63/0.88 (declare-const tptp.zero $$unsorted) % 0.63/0.88 (declare-const tptp.one $$unsorted) % 0.63/0.88 (declare-const tptp.addition (-> $$unsorted $$unsorted $$unsorted)) % 0.63/0.88 (define @t1 () (@var "A" $$unsorted)) % 0.63/0.88 (define @t2 () (@var "B" $$unsorted)) % 0.63/0.88 (define @t3 () (tptp.addition @t1 @t2)) % 0.63/0.88 (define @t4 () (@list @t1 @t2)) % 0.63/0.88 (define @t5 () (@var "C" $$unsorted)) % 0.63/0.88 (define @t6 () (tptp.addition @t2 @t5)) % 0.63/0.88 (define @t7 () (@list @t1)) % 0.63/0.88 (define @t8 () (tptp.multiplication @t1 @t2)) % 0.63/0.88 (define @t9 () (tptp.multiplication @t2 @t5)) % 0.63/0.88 (define @t10 () (@list @t1 @t2 @t5)) % 0.63/0.88 (define @t11 () (forall @t10 (= (tptp.multiplication @t1 @t9) (tptp.multiplication @t8 @t5)))) % 0.63/0.88 (define @t12 () (tptp.multiplication @t1 tptp.one)) % 0.63/0.88 (define @t13 () (forall @t7 (= @t12 @t1))) % 0.63/0.88 (define @t14 () (tptp.multiplication tptp.one @t1)) % 0.63/0.88 (define @t15 () (forall @t7 (= @t14 @t1))) % 0.63/0.88 (define @t16 () (tptp.multiplication @t1 @t5)) % 0.63/0.88 (define @t17 () (@var "X0" $$unsorted)) % 0.63/0.88 (define @t18 () (@var "X1" $$unsorted)) % 0.63/0.88 (define @t19 () (tptp.complement @t18 @t17)) % 0.63/0.88 (define @t20 () (tptp.test @t17)) % 0.63/0.88 (define @t21 () (@list @t17)) % 0.63/0.88 (define @t22 () (tptp.addition @t17 @t18)) % 0.63/0.88 (define @t23 () (tptp.multiplication @t18 @t17)) % 0.63/0.88 (define @t24 () (tptp.multiplication @t17 @t18)) % 0.63/0.88 (define @t25 () (and (= @t24 tptp.zero) (= @t23 tptp.zero) (= @t22 tptp.one))) % 0.63/0.88 (define @t26 () (= @t19 @t25)) % 0.63/0.88 (define @t27 () (@list @t17 @t18)) % 0.63/0.88 (define @t28 () (forall @t27 @t26)) % 0.63/0.88 (define @t29 () (tptp.complement @t17 @t18)) % 0.63/0.88 (define @t30 () (tptp.c @t17)) % 0.63/0.88 (define @t31 () (= (= @t30 @t18) @t29)) % 0.63/0.88 (define @t32 () (=> @t20 @t31)) % 0.63/0.88 (define @t33 () (forall @t27 @t32)) % 0.63/0.88 (define @t34 () (not @t20)) % 0.63/0.88 (define @t35 () (tptp.c @t18)) % 0.63/0.88 (define @t36 () (tptp.test @t18)) % 0.63/0.88 (define @t37 () (and @t20 @t36)) % 0.63/0.88 (define @t38 () (tptp.addition @t17 @t30)) % 0.63/0.88 (define @t39 () (= tptp.one (tptp.addition (tptp.multiplication @t38 @t18) (tptp.multiplication @t38 @t35)))) % 0.63/0.88 (define @t40 () (and @t36 @t20)) % 0.63/0.88 (define @t41 () (forall @t27 (=> @t40 @t39))) % 0.63/0.88 (define @t42 () (not @t41)) % 0.63/0.88 (define @t43 () (not @t36)) % 0.63/0.88 (define @t44 () (or @t43 @t34 @t39)) % 0.63/0.88 (define @t45 () (forall @t27 @t44)) % 0.63/0.88 (define @t46 () (@quantifiers_skolemize @t45 0)) % 0.63/0.88 (define @t47 () (tptp.c @t46)) % 0.63/0.88 (define @t48 () (@list @t46 @t47)) % 0.63/0.88 (define @t49 () (@quantifiers_skolemize @t45 1)) % 0.63/0.88 (define @t50 () (tptp.addition @t46 @t47)) % 0.63/0.88 (define @t51 () (tptp.multiplication @t50 @t49)) % 0.63/0.88 (define @t52 () (tptp.c @t49)) % 0.63/0.88 (define @t53 () (tptp.multiplication @t50 @t52)) % 0.63/0.88 (define @t54 () (= tptp.one (tptp.addition @t51 @t53))) % 0.63/0.88 (define @t55 () (tptp.test @t46)) % 0.63/0.88 (define @t56 () (not @t55)) % 0.63/0.88 (define @t57 () (tptp.test @t49)) % 0.63/0.88 (define @t58 () (not @t57)) % 0.63/0.88 (define @t59 () (or @t58 @t56 @t54)) % 0.63/0.88 (define @t60 () (@list true)) % 0.63/0.88 (define @t61 () (@list @t59)) % 0.63/0.88 (define @t62 () (= tptp.one (tptp.addition @t53 @t51))) % 0.63/0.88 (define @t63 () (and (= tptp.zero (tptp.multiplication @t53 @t51)) (= tptp.zero (tptp.multiplication @t51 @t53)) @t62)) % 0.63/0.88 (define @t64 () (not @t63)) % 0.63/0.88 (define @t65 () (tptp.complement @t51 @t53)) % 0.63/0.88 (define @t66 () (= @t65 @t63)) % 0.63/0.88 (define @t67 () (not @t65)) % 0.63/0.88 (define @t68 () (tptp.multiplication @t52 @t50)) % 0.63/0.88 (define @t69 () (tptp.multiplication @t50 @t68)) % 0.63/0.88 (define @t70 () (tptp.multiplication @t53 @t50)) % 0.63/0.88 (define @t71 () (= @t69 @t70)) % 0.63/0.88 (define @t72 () (= @t70 @t69)) % 0.63/0.88 (define @t73 () (@list false)) % 0.63/0.88 (define @t74 () (@list @t11)) % 0.63/0.88 (define @t75 () (tptp.multiplication @t49 @t50)) % 0.63/0.88 (define @t76 () (tptp.multiplication @t50 @t75)) % 0.63/0.88 (define @t77 () (tptp.multiplication @t51 @t50)) % 0.63/0.88 (define @t78 () (= @t76 @t77)) % 0.63/0.88 (define @t79 () (@list @t50 @t49 @t50)) % 0.63/0.88 (define @t80 () (= @t77 @t76)) % 0.63/0.88 (define @t81 () (= @t18 @t30)) % 0.63/0.88 (define @t82 () (= @t29 @t81)) % 0.63/0.88 (define @t83 () (tptp.complement @t46 @t47)) % 0.63/0.88 (define @t84 () (= @t83 (= @t47 @t47))) % 0.63/0.88 (define @t85 () (or @t56 @t84)) % 0.63/0.88 (define @t86 () (forall @t27 (or @t34 @t82))) % 0.63/0.88 (define @t87 () (or @t56 @t83)) % 0.63/0.88 (define @t88 () (@list @t86)) % 0.63/0.88 (define @t89 () (@list false false)) % 0.63/0.88 (define @t90 () (tptp.addition @t47 @t46)) % 0.63/0.88 (define @t91 () (= tptp.one @t90)) % 0.63/0.88 (define @t92 () (and (= tptp.zero (tptp.multiplication @t47 @t46)) (= tptp.zero (tptp.multiplication @t46 @t47)) @t91)) % 0.63/0.88 (define @t93 () (= @t83 @t92)) % 0.63/0.88 (define @t94 () (@list @t49)) % 0.63/0.88 (define @t95 () (@list @t52)) % 0.63/0.88 (define @t96 () (tptp.complement @t49 @t52)) % 0.63/0.88 (define @t97 () (= @t96 (= @t52 @t52))) % 0.63/0.88 (define @t98 () (or @t58 @t97)) % 0.63/0.88 (define @t99 () (or @t58 @t96)) % 0.63/0.88 (define @t100 () (not @t96)) % 0.63/0.88 (define @t101 () (tptp.multiplication tptp.one @t52)) % 0.63/0.88 (define @t102 () (= @t52 @t101)) % 0.63/0.88 (define @t103 () (not @t102)) % 0.63/0.88 (define @t104 () (tptp.multiplication tptp.one @t49)) % 0.63/0.88 (define @t105 () (= @t49 @t104)) % 0.63/0.88 (define @t106 () (not @t105)) % 0.63/0.88 (define @t107 () (= @t52 (tptp.multiplication @t52 tptp.one))) % 0.63/0.88 (define @t108 () (not @t107)) % 0.63/0.88 (define @t109 () (= @t49 (tptp.multiplication @t49 tptp.one))) % 0.63/0.88 (define @t110 () (not @t109)) % 0.63/0.88 (define @t111 () (not @t80)) % 0.63/0.88 (define @t112 () (not @t72)) % 0.63/0.88 (define @t113 () (not @t91)) % 0.63/0.88 (define @t114 () (= @t50 @t90)) % 0.63/0.88 (define @t115 () (not @t114)) % 0.63/0.88 (define @t116 () (and @t114 @t91 @t67 @t72 @t80 @t109 @t107 @t105 @t102)) % 0.63/0.88 (assume @p1 (forall @t4 (= @t3 (tptp.addition @t2 @t1)))) % 0.63/0.88 (assume @p2 (forall (@list @t5 @t2 @t1) (= (tptp.addition @t1 @t6) (tptp.addition @t3 @t5)))) % 0.63/0.88 (assume @p3 (forall @t7 (= (tptp.addition @t1 tptp.zero) @t1))) % 0.63/0.88 (assume @p4 (forall @t7 (= (tptp.addition @t1 @t1) @t1))) % 0.63/0.88 (assume @p5 @t11) % 0.63/0.88 (assume @p6 @t13) % 0.63/0.88 (assume @p7 @t15) % 0.63/0.88 (assume @p8 (forall @t10 (= (tptp.multiplication @t1 @t6) (tptp.addition @t8 @t16)))) % 0.63/0.88 (assume @p9 (forall @t10 (= (tptp.multiplication @t3 @t5) (tptp.addition @t16 @t9)))) % 0.63/0.88 (assume @p10 (forall @t7 (= (tptp.multiplication @t1 tptp.zero) tptp.zero))) % 0.63/0.88 (assume @p11 (forall @t7 (= (tptp.multiplication tptp.zero @t1) tptp.zero))) % 0.63/0.88 (assume @p12 (forall @t4 (= (tptp.leq @t1 @t2) (= @t3 @t2)))) % 0.63/0.88 (assume @p13 (forall @t21 (= @t20 (exists (@list @t18) @t19)))) % 0.63/0.88 (assume @p14 @t28) % 0.63/0.88 (assume @p15 @t33) % 0.63/0.88 (assume @p16 (forall @t21 (=> @t34 (= @t30 tptp.zero)))) % 0.63/0.88 (assume @p17 (forall @t27 (=> @t37 (= (tptp.c @t22) (tptp.multiplication @t30 @t35))))) % 0.63/0.88 (assume @p18 (forall @t27 (=> @t37 (= (tptp.c @t24) (tptp.addition @t30 @t35))))) % 0.63/0.88 (assume @p19 @t42) % 0.63/0.88 (assume @p20 true) % 0.63/0.88 (step @p21 :rule instantiate :premises (@p1) :args (@t48)) % 0.63/0.88 (step @p22 :rule eq-symm :args (@t22 tptp.one)) % 0.63/0.88 (step @p23 :rule eq-symm :args (@t23 tptp.zero)) % 0.63/0.88 (step @p24 :rule eq-symm :args (@t24 tptp.zero)) % 0.63/0.88 (step @p25 :rule nary_cong :premises (@p24 @p23 @p22) :args (@t25)) % 0.63/0.88 (step @p26 :rule refl :args (@t19)) % 0.63/0.88 (step @p27 :rule cong :premises (@p26 @p25) :args (@t26)) % 0.63/0.88 (step @p28 :rule cong :premises (@p27) :args (@t28)) % 0.63/0.88 (step @p29 :rule eq_resolve :premises (@p14 @p28)) % 0.63/0.88 (step @p30 :rule instantiate :premises (@p29) :args ((@list @t53 @t51))) % 0.63/0.88 (step @p31 :rule aci_norm :args ((= (or (or @t43 @t34) @t39) @t44))) % 0.63/0.88 (step @p32 :rule refl :args (@t39)) % 0.63/0.88 (step @p33 :rule bool-and-de-morgan :args (@t36 @t20 true)) % 0.63/0.88 (step @p34 :rule nary_cong :premises (@p33 @p32) :args ((or (not @t40) @t39))) % 0.63/0.88 (step @p35 :rule trans :premises (@p34 @p31)) % 0.63/0.88 (step @p36 :rule bool-impl-elim :args (@t40 @t39)) % 0.63/0.88 (step @p37 :rule trans :premises (@p36 @p35)) % 0.63/0.88 (step @p38 :rule cong :premises (@p37) :args (@t41)) % 0.63/0.88 (step @p39 :rule cong :premises (@p38) :args (@t42)) % 0.63/0.88 (step @p40 :rule eq_resolve :premises (@p19 @p39)) % 0.63/0.88 (step @p41 :rule skolemize :premises (@p40)) % 0.63/0.88 (step @p42 :rule cnf_or_neg :args (@t59 2)) % 0.63/0.88 (step @p43 :rule chain_m_resolution :premises (@p42 @p41) :args ((not @t54) @t60 @t61)) % 0.63/0.88 (step @p44 :rule false_intro :premises (@p43)) % 0.63/0.88 (step @p45 :rule instantiate :premises (@p1) :args ((@list @t51 @t53))) % 0.63/0.88 (step @p46 :rule symm :premises (@p45)) % 0.63/0.88 (step @p47 :rule refl :args (tptp.one)) % 0.63/0.88 (step @p48 :rule cong :premises (@p47 @p46) :args (@t62)) % 0.63/0.88 (step @p49 :rule trans :premises (@p48 @p44)) % 0.63/0.88 (step @p50 :rule false_elim :premises (@p49)) % 0.63/0.88 (step @p51 :rule cnf_and_pos :args (@t63 2)) % 0.63/0.88 (step @p52 :rule reordering :premises (@p51) :args ((or @t62 @t64))) % 0.63/0.88 (step @p53 :rule chain_m_resolution :premises (@p52 @p50) :args (@t64 @t60 (@list @t62))) % 0.63/0.88 (step @p54 :rule cnf_equiv_pos1 :args (@t66)) % 0.63/0.88 (step @p55 :rule reordering :premises (@p54) :args ((or @t63 @t67 (not @t66)))) % 0.63/0.88 (step @p56 :rule chain_m_resolution :premises (@p55 @p53 @p30) :args (@t67 (@list true false) (@list @t63 @t66))) % 0.63/0.88 (step @p57 :rule eq-symm :args (@t69 @t70)) % 0.63/0.88 (step @p58 :rule refl :args (@t11)) % 0.63/0.88 (step @p59 :rule cong :premises (@p58 @p57) :args ((=> @t11 @t71))) % 0.63/0.88 (assume-push @p222 @t11) % 0.63/0.88 (step @p61 :rule instantiate :premises (@p5) :args ((@list @t50 @t52 @t50))) % 0.63/0.88 (step-pop @p223 :rule scope :premises (@p61)) % 0.63/0.88 (step @p62 :rule process_scope :premises (@p223) :args (@t71)) % 0.63/0.88 (step @p64 :rule eq_resolve :premises (@p62 @p59)) % 0.63/0.88 (step @p65 :rule implies_elim :premises (@p64)) % 0.63/0.88 (step @p66 :rule chain_m_resolution :premises (@p65 @p5) :args (@t72 @t73 @t74)) % 0.63/0.88 (step @p67 :rule eq-symm :args (@t76 @t77)) % 0.63/0.88 (step @p68 :rule cong :premises (@p58 @p67) :args ((=> @t11 @t78))) % 0.63/0.88 (assume-push @p224 @t11) % 0.63/0.88 (step @p70 :rule instantiate :premises (@p5) :args (@t79)) % 0.63/0.88 (step-pop @p225 :rule scope :premises (@p70)) % 0.63/0.88 (step @p71 :rule process_scope :premises (@p225) :args (@t78)) % 0.63/0.88 (step @p73 :rule eq_resolve :premises (@p71 @p68)) % 0.63/0.88 (step @p74 :rule implies_elim :premises (@p73)) % 0.63/0.88 (step @p75 :rule chain_m_resolution :premises (@p74 @p5) :args (@t80 @t73 @t74)) % 0.63/0.88 (step @p76 :rule instantiate :premises (@p29) :args ((@list @t47 @t46))) % 0.63/0.88 (step @p77 :rule bool-impl-elim :args (@t20 @t82)) % 0.63/0.88 (step @p78 :rule cong :premises (@p77) :args ((forall @t27 (=> @t20 @t82)))) % 0.63/0.88 (step @p79 :rule eq-symm :args (@t81 @t29)) % 0.63/0.88 (step @p80 :rule refl :args (@t29)) % 0.63/0.88 (step @p81 :rule eq-symm :args (@t30 @t18)) % 0.63/0.88 (step @p82 :rule cong :premises (@p81 @p80) :args (@t31)) % 0.63/0.88 (step @p83 :rule trans :premises (@p82 @p79)) % 0.63/0.88 (step @p84 :rule refl :args (@t20)) % 0.63/0.88 (step @p85 :rule cong :premises (@p84 @p83) :args (@t32)) % 0.63/0.88 (step @p86 :rule cong :premises (@p85) :args (@t33)) % 0.63/0.88 (step @p87 :rule trans :premises (@p86 @p78)) % 0.63/0.88 (step @p88 :rule eq_resolve :premises (@p15 @p87)) % 0.63/0.88 (step @p89 :rule bool-eq-true :args (@t83)) % 0.63/0.88 (step @p90 :rule eq-refl :args (@t47)) % 0.63/0.88 (step @p91 :rule refl :args (@t83)) % 0.63/0.88 (step @p92 :rule cong :premises (@p91 @p90) :args (@t84)) % 0.63/0.88 (step @p93 :rule trans :premises (@p92 @p89)) % 0.63/0.88 (step @p94 :rule refl :args (@t56)) % 0.63/0.88 (step @p95 :rule nary_cong :premises (@p94 @p93) :args (@t85)) % 0.63/0.88 (step @p96 :rule refl :args (@t86)) % 0.63/0.88 (step @p97 :rule cong :premises (@p96 @p95) :args ((=> @t86 @t85))) % 0.63/0.88 (assume-push @p226 @t86) % 0.63/0.88 (step @p99 :rule instantiate :premises (@p88) :args (@t48)) % 0.63/0.88 (step-pop @p227 :rule scope :premises (@p99)) % 0.63/0.88 (step @p100 :rule process_scope :premises (@p227) :args (@t85)) % 0.63/0.88 (step @p102 :rule eq_resolve :premises (@p100 @p97)) % 0.63/0.88 (step @p103 :rule implies_elim :premises (@p102)) % 0.63/0.88 (step @p104 :rule chain_m_resolution :premises (@p103 @p88) :args (@t87 @t73 @t88)) % 0.63/0.88 (step @p105 :rule bool-double-not-elim :args (@t55)) % 0.63/0.88 (step @p106 :rule refl :args (@t59)) % 0.63/0.88 (step @p107 :rule nary_cong :premises (@p106 @p105) :args ((or @t59 (not @t56)))) % 0.63/0.88 (step @p108 :rule cnf_or_neg :args (@t59 1)) % 0.63/0.88 (step @p109 :rule eq_resolve :premises (@p108 @p107)) % 0.63/0.88 (step @p110 :rule reordering :premises (@p109) :args ((or @t55 @t59))) % 0.63/0.88 (step @p111 :rule chain_m_resolution :premises (@p110 @p41) :args (@t55 @t60 @t61)) % 0.63/0.88 (step @p112 :rule cnf_or_pos :args (@t87)) % 0.63/0.88 (step @p113 :rule reordering :premises (@p112) :args ((or @t56 @t83 (not @t87)))) % 0.63/0.88 (step @p114 :rule chain_m_resolution :premises (@p113 @p111 @p104) :args (@t83 @t89 (@list @t55 @t87))) % 0.63/0.88 (step @p115 :rule cnf_equiv_pos1 :args (@t93)) % 0.63/0.88 (step @p116 :rule reordering :premises (@p115) :args ((or @t92 (not @t83) (not @t93)))) % 0.63/0.88 (step @p117 :rule chain_m_resolution :premises (@p116 @p114 @p76) :args (@t92 @t89 (@list @t83 @t93))) % 0.63/0.88 (step @p118 :rule cnf_and_pos :args (@t92 2)) % 0.63/0.88 (step @p119 :rule reordering :premises (@p118) :args ((or @t91 (not @t92)))) % 0.63/0.88 (step @p120 :rule chain_m_resolution :premises (@p119 @p117) :args (@t91 @t73 (@list @t92))) % 0.63/0.88 (step @p121 :rule eq-symm :args (@t12 @t1)) % 0.63/0.88 (step @p122 :rule cong :premises (@p121) :args (@t13)) % 0.63/0.88 (step @p123 :rule eq_resolve :premises (@p6 @p122)) % 0.63/0.88 (step @p124 :rule instantiate :premises (@p123) :args (@t94)) % 0.63/0.88 (step @p125 :rule instantiate :premises (@p123) :args (@t95)) % 0.63/0.88 (step @p126 :rule eq-symm :args (@t14 @t1)) % 0.63/0.88 (step @p127 :rule cong :premises (@p126) :args (@t15)) % 0.63/0.88 (step @p128 :rule eq_resolve :premises (@p7 @p127)) % 0.63/0.88 (step @p129 :rule instantiate :premises (@p128) :args (@t94)) % 0.63/0.88 (step @p130 :rule instantiate :premises (@p128) :args (@t95)) % 0.63/0.88 (step @p131 :rule bool-eq-true :args (@t96)) % 0.63/0.88 (step @p132 :rule eq-refl :args (@t52)) % 0.63/0.88 (step @p133 :rule refl :args (@t96)) % 0.63/0.88 (step @p134 :rule cong :premises (@p133 @p132) :args (@t97)) % 0.63/0.88 (step @p135 :rule trans :premises (@p134 @p131)) % 0.63/0.88 (step @p136 :rule refl :args (@t58)) % 0.63/0.88 (step @p137 :rule nary_cong :premises (@p136 @p135) :args (@t98)) % 0.63/0.88 (step @p138 :rule cong :premises (@p96 @p137) :args ((=> @t86 @t98))) % 0.63/0.88 (assume-push @p228 @t86) % 0.63/0.88 (step @p140 :rule instantiate :premises (@p88) :args ((@list @t49 @t52))) % 0.63/0.88 (step-pop @p229 :rule scope :premises (@p140)) % 0.63/0.88 (step @p141 :rule process_scope :premises (@p229) :args (@t98)) % 0.63/0.88 (step @p143 :rule eq_resolve :premises (@p141 @p138)) % 0.63/0.88 (step @p144 :rule implies_elim :premises (@p143)) % 0.63/0.88 (step @p145 :rule chain_m_resolution :premises (@p144 @p88) :args (@t99 @t73 @t88)) % 0.63/0.88 (step @p146 :rule bool-double-not-elim :args (@t57)) % 0.63/0.88 (step @p147 :rule nary_cong :premises (@p106 @p146) :args ((or @t59 (not @t58)))) % 0.63/0.88 (step @p148 :rule cnf_or_neg :args (@t59 0)) % 0.63/0.88 (step @p149 :rule eq_resolve :premises (@p148 @p147)) % 0.63/0.88 (step @p150 :rule reordering :premises (@p149) :args ((or @t57 @t59))) % 0.63/0.88 (step @p151 :rule chain_m_resolution :premises (@p150 @p41) :args (@t57 @t60 @t61)) % 0.63/0.88 (step @p152 :rule cnf_or_pos :args (@t99)) % 0.63/0.88 (step @p153 :rule reordering :premises (@p152) :args ((or @t58 @t96 (not @t99)))) % 0.63/0.88 (step @p154 :rule chain_m_resolution :premises (@p153 @p151 @p145) :args (@t96 @t89 (@list @t57 @t99))) % 0.63/0.88 (step @p155 :rule refl :args (@t100)) % 0.63/0.88 (step @p156 :rule refl :args (@t103)) % 0.63/0.88 (step @p157 :rule refl :args (@t106)) % 0.63/0.88 (step @p158 :rule refl :args (@t108)) % 0.63/0.88 (step @p159 :rule refl :args (@t110)) % 0.63/0.88 (step @p160 :rule refl :args (@t111)) % 0.63/0.88 (step @p161 :rule refl :args (@t112)) % 0.63/0.88 (step @p162 :rule bool-double-not-elim :args (@t65)) % 0.63/0.88 (step @p163 :rule refl :args (@t113)) % 0.63/0.88 (step @p164 :rule refl :args (@t115)) % 0.63/0.88 (step @p165 :rule nary_cong :premises (@p164 @p163 @p162 @p161 @p160 @p159 @p158 @p157 @p156 @p155) :args ((or @t115 @t113 (not @t67) @t112 @t111 @t110 @t108 @t106 @t103 @t100))) % 0.63/0.88 (assume-push @p230 @t114) % 0.63/0.88 (assume-push @p231 @t91) % 0.63/0.88 (assume-push @p232 @t67) % 0.63/0.88 (assume-push @p233 @t72) % 0.63/0.88 (assume-push @p234 @t80) % 0.63/0.88 (assume-push @p235 @t109) % 0.63/0.88 (assume-push @p236 @t107) % 0.63/0.88 (assume-push @p237 @t105) % 0.63/0.88 (assume-push @p238 @t102) % 0.63/0.88 (step @p175 :rule false_intro :premises (@p56)) % 0.63/0.88 (step @p176 :rule symm :premises (@p125)) % 0.63/0.88 (step @p177 :rule symm :premises (@p120)) % 0.63/0.88 (step @p178 :rule trans :premises (@p21 @p177)) % 0.63/0.88 (step @p179 :rule refl :args (@t52)) % 0.63/0.88 (step @p180 :rule cong :premises (@p179 @p178) :args (@t68)) % 0.63/0.88 (step @p181 :rule trans :premises (@p180 @p176)) % 0.63/0.88 (step @p182 :rule symm :premises (@p178)) % 0.63/0.88 (step @p183 :rule cong :premises (@p182 @p181) :args ((tptp.multiplication tptp.one @t68))) % 0.63/0.88 (step @p184 :rule refl :args (@t68)) % 0.63/0.88 (step @p185 :rule cong :premises (@p178 @p184) :args (@t69)) % 0.63/0.88 (step @p186 :rule trans :premises (@p66 @p185 @p183)) % 0.63/0.88 (step @p187 :rule refl :args (@t49)) % 0.63/0.88 (step @p188 :rule cong :premises (@p182 @p187) :args (@t104)) % 0.63/0.88 (step @p189 :rule symm :premises (@p124)) % 0.63/0.88 (step @p190 :rule cong :premises (@p187 @p178) :args (@t75)) % 0.63/0.88 (step @p191 :rule trans :premises (@p190 @p189)) % 0.63/0.88 (step @p192 :rule cong :premises (@p178 @p191) :args (@t76)) % 0.63/0.88 (step @p193 :rule trans :premises (@p75 @p192 @p188)) % 0.63/0.88 (step @p70 :rule instantiate :premises (@p5) :args (@t79)) % 0.63/0.88 (step @p194 :rule symm :premises (@p192)) % 0.63/0.88 (step @p195 :rule trans :premises (@p190 @p189 @p129 @p194 @p70)) % 0.63/0.88 (step @p196 :rule symm :premises (@p191)) % 0.63/0.88 (step @p197 :rule trans :premises (@p196 @p195 @p193)) % 0.63/0.88 (step @p198 :rule cong :premises (@p197 @p186) :args ((tptp.complement @t49 @t70))) % 0.63/0.88 (step @p199 :rule symm :premises (@p186)) % 0.63/0.88 (step @p200 :rule cong :premises (@p187 @p199) :args ((tptp.complement @t49 @t53))) % 0.63/0.88 (step @p201 :rule cong :premises (@p182 @p179) :args (@t101)) % 0.63/0.89 (step @p202 :rule trans :premises (@p130 @p201)) % 0.63/0.89 (step @p203 :rule cong :premises (@p187 @p202) :args (@t96)) % 0.63/0.89 (step @p204 :rule trans :premises (@p203 @p200 @p198 @p175)) % 0.63/0.89 (step @p205 :rule false_elim :premises (@p204)) % 0.63/0.89 (step-pop @p239 :rule scope :premises (@p205)) % 0.63/0.89 (step-pop @p240 :rule scope :premises (@p239)) % 0.63/0.89 (step-pop @p241 :rule scope :premises (@p240)) % 0.63/0.89 (step-pop @p242 :rule scope :premises (@p241)) % 0.63/0.89 (step-pop @p243 :rule scope :premises (@p242)) % 0.63/0.89 (step-pop @p244 :rule scope :premises (@p243)) % 0.63/0.89 (step-pop @p245 :rule scope :premises (@p244)) % 0.63/0.89 (step-pop @p246 :rule scope :premises (@p245)) % 0.63/0.89 (step-pop @p247 :rule scope :premises (@p246)) % 0.63/0.89 (step @p206 :rule process_scope :premises (@p247) :args (@t100)) % 0.63/0.89 (step @p216 :rule implies_elim :premises (@p206)) % 0.63/0.89 (step @p217 :rule cnf_and_neg :args (@t116)) % 0.63/0.89 (step @p218 :rule resolution :premises (@p217 @p216) :args (true @t116)) % 0.63/0.89 (step @p219 :rule eq_resolve :premises (@p218 @p165)) % 0.63/0.89 (step @p220 :rule reordering :premises (@p219) :args ((or @t115 @t65 @t113 @t112 @t111 @t100 @t110 @t108 @t106 @t103))) % 0.63/0.89 (step @p221 false :rule chain_m_resolution :premises (@p220 @p154 @p130 @p129 @p125 @p124 @p120 @p75 @p66 @p56 @p21) :args (false (@list false false false false false false false false true false) (@list @t96 @t102 @t105 @t107 @t109 @t91 @t80 @t72 @t65 @t114))) % 0.63/0.89 ) % 0.63/0.89 % SZS output end Proof % 0.63/0.89 % cvc5 exiting %------------------------------------------------------------------------------