%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : KLE167+1 : 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 : n028.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 08:28:26 AM UTC 2026 % Result : Theorem 0.61s 0.82s % Output : Proof 0.61s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : KLE167+1 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n028.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 05:22:20 EDT 2026 % 0.16/0.35 % CPUTime : % 0.25/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.61/0.82 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.61/0.82 % SZS status Theorem % 0.61/0.82 % SZS output start Proof % 0.61/0.82 ( % 0.61/0.82 (declare-sort $$unsorted 0) % 0.61/0.82 (declare-const tptp.strong_iteration (-> $$unsorted $$unsorted)) % 0.61/0.82 (declare-const tptp.star (-> $$unsorted $$unsorted)) % 0.61/0.82 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.61/0.82 (declare-const tptp.multiplication (-> $$unsorted $$unsorted $$unsorted)) % 0.61/0.82 (declare-const tptp.zero $$unsorted) % 0.61/0.82 (declare-const tptp.one $$unsorted) % 0.61/0.82 (declare-const tptp.addition (-> $$unsorted $$unsorted $$unsorted)) % 0.61/0.82 (define @t1 () (@var "A" $$unsorted)) % 0.61/0.82 (define @t2 () (@var "B" $$unsorted)) % 0.61/0.82 (define @t3 () (tptp.addition @t1 @t2)) % 0.61/0.82 (define @t4 () (@list @t1 @t2)) % 0.61/0.82 (define @t5 () (@var "C" $$unsorted)) % 0.61/0.82 (define @t6 () (tptp.addition @t2 @t5)) % 0.61/0.82 (define @t7 () (forall (@list @t5 @t2 @t1) (= (tptp.addition @t1 @t6) (tptp.addition @t3 @t5)))) % 0.61/0.82 (define @t8 () (tptp.addition @t1 tptp.zero)) % 0.61/0.82 (define @t9 () (@list @t1)) % 0.61/0.82 (define @t10 () (forall @t9 (= @t8 @t1))) % 0.61/0.82 (define @t11 () (tptp.addition @t1 @t1)) % 0.61/0.82 (define @t12 () (forall @t9 (= @t11 @t1))) % 0.61/0.82 (define @t13 () (tptp.multiplication @t1 @t2)) % 0.61/0.82 (define @t14 () (tptp.multiplication @t2 @t5)) % 0.61/0.82 (define @t15 () (@list @t1 @t2 @t5)) % 0.61/0.82 (define @t16 () (tptp.multiplication @t1 tptp.one)) % 0.61/0.82 (define @t17 () (forall @t9 (= @t16 @t1))) % 0.61/0.82 (define @t18 () (tptp.multiplication @t1 @t5)) % 0.61/0.82 (define @t19 () (tptp.star @t1)) % 0.61/0.82 (define @t20 () (tptp.addition tptp.one (tptp.multiplication @t19 @t1))) % 0.61/0.82 (define @t21 () (forall @t9 (= @t20 @t19))) % 0.61/0.82 (define @t22 () (tptp.addition @t18 @t2)) % 0.61/0.82 (define @t23 () (tptp.leq (tptp.multiplication @t2 @t19) @t5)) % 0.61/0.82 (define @t24 () (tptp.leq (tptp.addition (tptp.multiplication @t5 @t1) @t2) @t5)) % 0.61/0.82 (define @t25 () (forall @t15 (=> @t24 @t23))) % 0.61/0.82 (define @t26 () (tptp.strong_iteration @t1)) % 0.61/0.82 (define @t27 () (tptp.leq @t1 @t2)) % 0.61/0.82 (define @t28 () (= @t27 (= @t3 @t2))) % 0.61/0.82 (define @t29 () (forall @t4 @t28)) % 0.61/0.82 (define @t30 () (@var "X1" $$unsorted)) % 0.61/0.82 (define @t31 () (@var "X0" $$unsorted)) % 0.61/0.82 (define @t32 () (tptp.multiplication @t31 (tptp.star @t30))) % 0.61/0.82 (define @t33 () (tptp.leq @t31 @t32)) % 0.61/0.82 (define @t34 () (tptp.leq @t32 @t31)) % 0.61/0.82 (define @t35 () (tptp.multiplication @t31 @t30)) % 0.61/0.82 (define @t36 () (=> (= @t35 tptp.zero) @t34)) % 0.61/0.82 (define @t37 () (and @t36 @t33)) % 0.61/0.82 (define @t38 () (@list @t31 @t30)) % 0.61/0.82 (define @t39 () (forall @t38 @t37)) % 0.61/0.82 (define @t40 () (not @t39)) % 0.61/0.82 (define @t41 () (@var "BOUND_VARIABLE_7561" $$unsorted)) % 0.61/0.82 (define @t42 () (@var "BOUND_VARIABLE_7563" $$unsorted)) % 0.61/0.82 (define @t43 () (forall (@list @t41 @t42) (or (not (= tptp.zero (tptp.multiplication @t41 @t42))) (tptp.leq (tptp.multiplication @t41 (tptp.star @t42)) @t41)))) % 0.61/0.82 (define @t44 () (@quantifiers_skolemize @t43 0)) % 0.61/0.82 (define @t45 () (@quantifiers_skolemize @t43 1)) % 0.61/0.82 (define @t46 () (tptp.multiplication @t44 @t45)) % 0.61/0.82 (define @t47 () (tptp.addition @t44 @t44)) % 0.61/0.82 (define @t48 () (tptp.addition @t46 @t47)) % 0.61/0.82 (define @t49 () (tptp.addition @t46 @t44)) % 0.61/0.82 (define @t50 () (tptp.addition @t49 @t44)) % 0.61/0.82 (define @t51 () (= @t48 @t50)) % 0.61/0.82 (define @t52 () (@list @t44 @t44 @t46)) % 0.61/0.82 (define @t53 () (= @t50 @t48)) % 0.61/0.82 (define @t54 () (@list false)) % 0.61/0.82 (define @t55 () (@list @t44)) % 0.61/0.82 (define @t56 () (@var "BOUND_VARIABLE_7576" $$unsorted)) % 0.61/0.82 (define @t57 () (@var "BOUND_VARIABLE_7574" $$unsorted)) % 0.61/0.82 (define @t58 () (forall (@list @t57 @t56) (tptp.leq @t57 (tptp.multiplication @t57 (tptp.star @t56))))) % 0.61/0.82 (define @t59 () (@quantifiers_skolemize @t58 1)) % 0.61/0.82 (define @t60 () (tptp.star @t59)) % 0.61/0.82 (define @t61 () (@quantifiers_skolemize @t58 0)) % 0.61/0.82 (define @t62 () (tptp.multiplication @t61 @t60)) % 0.61/0.82 (define @t63 () (tptp.multiplication @t60 @t59)) % 0.61/0.82 (define @t64 () (tptp.multiplication @t61 @t63)) % 0.61/0.82 (define @t65 () (tptp.multiplication @t61 tptp.one)) % 0.61/0.82 (define @t66 () (tptp.addition @t65 @t61)) % 0.61/0.82 (define @t67 () (= @t62 (tptp.addition @t61 @t62))) % 0.61/0.82 (define @t68 () (tptp.leq @t61 @t62)) % 0.61/0.82 (define @t69 () (= @t68 @t67)) % 0.61/0.82 (define @t70 () (not @t68)) % 0.61/0.82 (define @t71 () (not @t58)) % 0.61/0.82 (define @t72 () (forall @t38 @t33)) % 0.61/0.82 (define @t73 () (@list @t31 @t30)) % 0.61/0.82 (define @t74 () (= tptp.zero @t35)) % 0.61/0.82 (define @t75 () (or (not @t74) @t34)) % 0.61/0.82 (define @t76 () (forall @t38 @t75)) % 0.61/0.82 (define @t77 () (and @t76 @t72)) % 0.61/0.82 (define @t78 () (and (=> @t74 @t34) @t33)) % 0.61/0.82 (define @t79 () (not @t43)) % 0.61/0.82 (define @t80 () (tptp.leq (tptp.multiplication @t44 (tptp.star @t45)) @t44)) % 0.61/0.82 (define @t81 () (= tptp.zero @t46)) % 0.61/0.82 (define @t82 () (not @t81)) % 0.61/0.82 (define @t83 () (or @t82 @t80)) % 0.61/0.82 (define @t84 () (not @t83)) % 0.61/0.82 (define @t85 () (@list true)) % 0.61/0.82 (define @t86 () (@list @t83)) % 0.61/0.82 (define @t87 () (tptp.leq @t49 @t44)) % 0.61/0.82 (define @t88 () (not @t87)) % 0.61/0.82 (define @t89 () (or @t88 @t80)) % 0.61/0.82 (define @t90 () (@list true false)) % 0.61/0.82 (define @t91 () (= @t44 @t50)) % 0.61/0.82 (define @t92 () (= @t87 @t91)) % 0.61/0.82 (define @t93 () (not @t91)) % 0.61/0.82 (define @t94 () (= @t49 (tptp.addition @t44 @t46))) % 0.61/0.82 (define @t95 () (tptp.addition @t44 tptp.zero)) % 0.61/0.82 (define @t96 () (= @t44 @t95)) % 0.61/0.82 (define @t97 () (= @t44 @t47)) % 0.61/0.82 (define @t98 () (and @t81 @t94 @t53 @t96 @t97)) % 0.61/0.82 (assume @p1 (forall @t4 (= @t3 (tptp.addition @t2 @t1)))) % 0.61/0.82 (assume @p2 @t7) % 0.61/0.82 (assume @p3 @t10) % 0.61/0.82 (assume @p4 @t12) % 0.61/0.82 (assume @p5 (forall @t15 (= (tptp.multiplication @t1 @t14) (tptp.multiplication @t13 @t5)))) % 0.61/0.82 (assume @p6 @t17) % 0.61/0.82 (assume @p7 (forall @t9 (= (tptp.multiplication tptp.one @t1) @t1))) % 0.61/0.82 (assume @p8 (forall @t15 (= (tptp.multiplication @t1 @t6) (tptp.addition @t13 @t18)))) % 0.61/0.82 (assume @p9 (forall @t15 (= (tptp.multiplication @t3 @t5) (tptp.addition @t18 @t14)))) % 0.61/0.82 (assume @p10 (forall @t9 (= (tptp.multiplication tptp.zero @t1) tptp.zero))) % 0.61/0.82 (assume @p11 (forall @t9 (= (tptp.addition tptp.one (tptp.multiplication @t1 @t19)) @t19))) % 0.61/0.82 (assume @p12 @t21) % 0.61/0.82 (assume @p13 (forall @t15 (=> (tptp.leq @t22 @t5) (tptp.leq (tptp.multiplication @t19 @t2) @t5)))) % 0.61/0.82 (assume @p14 @t25) % 0.61/0.82 (assume @p15 (forall @t9 (= @t26 (tptp.addition (tptp.multiplication @t1 @t26) tptp.one)))) % 0.61/0.82 (assume @p16 (forall @t15 (=> (tptp.leq @t5 @t22) (tptp.leq @t5 (tptp.multiplication @t26 @t2))))) % 0.61/0.82 (assume @p17 (forall @t9 (= @t26 (tptp.addition @t19 (tptp.multiplication @t26 tptp.zero))))) % 0.61/0.82 (assume @p18 @t29) % 0.61/0.82 (assume @p19 @t40) % 0.61/0.82 (assume @p20 true) % 0.61/0.82 (step @p21 :rule instantiate :premises (@p1) :args ((@list @t46 @t44))) % 0.61/0.82 (step @p22 :rule eq-symm :args (@t48 @t50)) % 0.61/0.82 (step @p23 :rule refl :args (@t7)) % 0.61/0.82 (step @p24 :rule cong :premises (@p23 @p22) :args ((=> @t7 @t51))) % 0.61/0.82 (assume-push @p178 @t7) % 0.61/0.82 (step @p26 :rule instantiate :premises (@p2) :args (@t52)) % 0.61/0.82 (step-pop @p179 :rule scope :premises (@p26)) % 0.61/0.82 (step @p27 :rule process_scope :premises (@p179) :args (@t51)) % 0.61/0.82 (step @p29 :rule eq_resolve :premises (@p27 @p24)) % 0.61/0.82 (step @p30 :rule implies_elim :premises (@p29)) % 0.61/0.82 (step @p31 :rule chain_m_resolution :premises (@p30 @p2) :args (@t53 @t54 (@list @t7))) % 0.61/0.82 (step @p32 :rule eq-symm :args (@t8 @t1)) % 0.61/0.82 (step @p33 :rule cong :premises (@p32) :args (@t10)) % 0.61/0.82 (step @p34 :rule eq_resolve :premises (@p3 @p33)) % 0.61/0.82 (step @p35 :rule instantiate :premises (@p34) :args (@t55)) % 0.61/0.82 (step @p36 :rule eq-symm :args (@t11 @t1)) % 0.61/0.82 (step @p37 :rule cong :premises (@p36) :args (@t12)) % 0.61/0.82 (step @p38 :rule eq_resolve :premises (@p4 @p37)) % 0.61/0.82 (step @p39 :rule instantiate :premises (@p38) :args (@t55)) % 0.61/0.82 (step @p40 :rule eq-symm :args (@t3 @t2)) % 0.61/0.82 (step @p41 :rule refl :args (@t27)) % 0.61/0.82 (step @p42 :rule cong :premises (@p41 @p40) :args (@t28)) % 0.61/0.82 (step @p43 :rule cong :premises (@p42) :args (@t29)) % 0.61/0.82 (step @p44 :rule eq_resolve :premises (@p18 @p43)) % 0.61/0.82 (step @p45 :rule instantiate :premises (@p44) :args ((@list @t61 @t62))) % 0.61/0.82 (step @p46 :rule eq-symm :args (@t20 @t19)) % 0.61/0.82 (step @p47 :rule cong :premises (@p46) :args (@t21)) % 0.61/0.82 (step @p48 :rule eq_resolve :premises (@p12 @p47)) % 0.61/0.82 (step @p49 :rule instantiate :premises (@p48) :args ((@list @t59))) % 0.61/0.82 (step @p50 :rule symm :premises (@p49)) % 0.61/0.82 (step @p51 :rule refl :args (@t61)) % 0.61/0.82 (step @p52 :rule cong :premises (@p51 @p50) :args ((tptp.multiplication @t61 (tptp.addition tptp.one @t63)))) % 0.61/0.82 (step @p53 :rule instantiate :premises (@p8) :args ((@list @t61 tptp.one @t63))) % 0.61/0.82 (step @p54 :rule symm :premises (@p53)) % 0.61/0.82 (step @p55 :rule trans :premises (@p54 @p52)) % 0.61/0.82 (step @p56 :rule cong :premises (@p51 @p55) :args ((tptp.addition @t61 (tptp.addition @t65 @t64)))) % 0.61/0.82 (step @p57 :rule instantiate :premises (@p2) :args ((@list @t64 @t65 @t61))) % 0.61/0.82 (step @p58 :rule symm :premises (@p57)) % 0.61/0.82 (step @p59 :rule instantiate :premises (@p1) :args ((@list (tptp.addition @t61 @t65) @t64))) % 0.61/0.82 (step @p60 :rule symm :premises (@p59)) % 0.61/0.82 (step @p61 :rule eq-symm :args (@t16 @t1)) % 0.61/0.82 (step @p62 :rule cong :premises (@p61) :args (@t17)) % 0.61/0.82 (step @p63 :rule eq_resolve :premises (@p6 @p62)) % 0.61/0.82 (step @p64 :rule instantiate :premises (@p63) :args ((@list @t61))) % 0.61/0.82 (step @p65 :rule symm :premises (@p64)) % 0.61/0.82 (step @p66 :rule cong :premises (@p65 @p64) :args (@t66)) % 0.61/0.82 (step @p67 :rule refl :args (@t64)) % 0.61/0.82 (step @p68 :rule cong :premises (@p67 @p66) :args ((tptp.addition @t64 @t66))) % 0.61/0.82 (step @p69 :rule symm :premises (@p66)) % 0.61/0.82 (step @p70 :rule refl :args (@t65)) % 0.61/0.82 (step @p71 :rule cong :premises (@p65 @p70) :args ((tptp.addition @t65 @t65))) % 0.61/0.82 (step @p72 :rule instantiate :premises (@p38) :args ((@list @t65))) % 0.61/0.82 (step @p73 :rule trans :premises (@p64 @p72 @p71 @p69)) % 0.61/0.82 (step @p74 :rule cong :premises (@p67 @p73) :args ((tptp.addition @t64 @t61))) % 0.61/0.82 (step @p75 :rule cong :premises (@p67 @p65) :args ((tptp.addition @t64 @t65))) % 0.61/0.82 (step @p76 :rule instantiate :premises (@p1) :args ((@list @t65 @t64))) % 0.61/0.82 (step @p77 :rule symm :premises (@p52)) % 0.61/0.82 (step @p78 :rule trans :premises (@p77 @p53 @p76 @p75 @p74 @p68 @p60 @p58 @p56)) % 0.61/0.82 (step @p79 :rule cnf_equiv_pos2 :args (@t69)) % 0.61/0.82 (step @p80 :rule reordering :premises (@p79) :args ((or @t68 (not @t67) (not @t69)))) % 0.61/0.82 (step @p81 :rule chain_m_resolution :premises (@p80 @p78 @p45) :args (@t68 (@list false false) (@list @t67 @t69))) % 0.61/0.82 (step @p82 :rule refl :args (@t70)) % 0.61/0.82 (step @p83 :rule bool-double-not-elim :args (@t58)) % 0.61/0.82 (step @p84 :rule nary_cong :premises (@p83 @p82) :args ((or (not @t71) @t70))) % 0.61/0.82 (assume-push @p180 @t71) % 0.61/0.82 (step @p86 :rule skolemize :premises (@p180)) % 0.61/0.82 (step-pop @p181 :rule scope :premises (@p86)) % 0.61/0.82 (step @p87 :rule process_scope :premises (@p181) :args (@t70)) % 0.61/0.82 (step @p89 :rule implies_elim :premises (@p87)) % 0.61/0.82 (step @p90 :rule eq_resolve :premises (@p89 @p84)) % 0.61/0.82 (step @p91 :rule chain_m_resolution :premises (@p90 @p81) :args (@t58 @t54 (@list @t68))) % 0.61/0.82 (step @p92 :rule alpha_equiv :args (@t72 @t73 (@list @t57 @t56))) % 0.61/0.82 (step @p93 :rule alpha_equiv :args (@t76 @t73 (@list @t41 @t42))) % 0.61/0.82 (step @p94 :rule nary_cong :premises (@p93 @p92) :args (@t77)) % 0.61/0.82 (step @p95 :rule quant-miniscope-and :args ((= (forall @t38 (and @t75 @t33)) @t77))) % 0.61/0.82 (step @p96 :rule trans :premises (@p95 @p94)) % 0.61/0.82 (step @p97 :rule refl :args (@t33)) % 0.61/0.82 (step @p98 :rule bool-impl-elim :args (@t74 @t34)) % 0.61/0.82 (step @p99 :rule nary_cong :premises (@p98 @p97) :args (@t78)) % 0.61/0.82 (step @p100 :rule cong :premises (@p99) :args ((forall @t38 @t78))) % 0.61/0.82 (step @p101 :rule trans :premises (@p100 @p96)) % 0.61/0.82 (step @p102 :rule refl :args (@t33)) % 0.61/0.82 (step @p103 :rule refl :args (@t34)) % 0.61/0.82 (step @p104 :rule eq-symm :args (@t35 tptp.zero)) % 0.61/0.82 (step @p105 :rule cong :premises (@p104 @p103) :args (@t36)) % 0.61/0.82 (step @p106 :rule nary_cong :premises (@p105 @p102) :args (@t37)) % 0.61/0.82 (step @p107 :rule cong :premises (@p106) :args (@t39)) % 0.61/0.82 (step @p108 :rule trans :premises (@p107 @p101)) % 0.61/0.82 (step @p109 :rule cong :premises (@p108) :args (@t40)) % 0.61/0.82 (step @p110 :rule eq_resolve :premises (@p19 @p109)) % 0.61/0.82 (step @p111 :rule not_and :premises (@p110)) % 0.61/0.82 (step @p112 :rule chain_m_resolution :premises (@p111 @p91) :args (@t79 @t54 (@list @t58))) % 0.61/0.82 (step @p113 :rule refl :args (@t84)) % 0.61/0.82 (step @p114 :rule bool-double-not-elim :args (@t43)) % 0.61/0.82 (step @p115 :rule nary_cong :premises (@p114 @p113) :args ((or (not @t79) @t84))) % 0.61/0.82 (assume-push @p182 @t79) % 0.61/0.82 (step @p117 :rule skolemize :premises (@p182)) % 0.61/0.82 (step-pop @p183 :rule scope :premises (@p117)) % 0.61/0.82 (step @p118 :rule process_scope :premises (@p183) :args (@t84)) % 0.61/0.82 (step @p120 :rule implies_elim :premises (@p118)) % 0.61/0.82 (step @p121 :rule eq_resolve :premises (@p120 @p115)) % 0.61/0.82 (step @p122 :rule chain_m_resolution :premises (@p121 @p112) :args (@t84 @t85 (@list @t43))) % 0.61/0.82 (step @p123 :rule bool-double-not-elim :args (@t81)) % 0.61/0.82 (step @p124 :rule refl :args (@t83)) % 0.61/0.82 (step @p125 :rule nary_cong :premises (@p124 @p123) :args ((or @t83 (not @t82)))) % 0.61/0.82 (step @p126 :rule cnf_or_neg :args (@t83 0)) % 0.61/0.82 (step @p127 :rule eq_resolve :premises (@p126 @p125)) % 0.61/0.82 (step @p128 :rule reordering :premises (@p127) :args ((or @t81 @t83))) % 0.61/0.82 (step @p129 :rule chain_m_resolution :premises (@p128 @p122) :args (@t81 @t85 @t86)) % 0.61/0.82 (step @p130 :rule instantiate :premises (@p44) :args ((@list @t49 @t44))) % 0.61/0.82 (step @p131 :rule bool-impl-elim :args (@t24 @t23)) % 0.61/0.82 (step @p132 :rule cong :premises (@p131) :args (@t25)) % 0.61/0.82 (step @p133 :rule eq_resolve :premises (@p14 @p132)) % 0.61/0.82 (step @p134 :rule instantiate :premises (@p133) :args ((@list @t45 @t44 @t44))) % 0.61/0.82 (step @p135 :rule cnf_or_neg :args (@t83 1)) % 0.61/0.82 (step @p136 :rule chain_m_resolution :premises (@p135 @p122) :args ((not @t80) @t85 @t86)) % 0.61/0.82 (step @p137 :rule cnf_or_pos :args (@t89)) % 0.61/0.82 (step @p138 :rule reordering :premises (@p137) :args ((or @t80 @t88 (not @t89)))) % 0.61/0.82 (step @p139 :rule chain_m_resolution :premises (@p138 @p136 @p134) :args (@t88 @t90 (@list @t80 @t89))) % 0.61/0.82 (step @p140 :rule cnf_equiv_pos2 :args (@t92)) % 0.61/0.82 (step @p141 :rule reordering :premises (@p140) :args ((or @t87 @t93 (not @t92)))) % 0.61/0.82 (step @p142 :rule chain_m_resolution :premises (@p141 @p139 @p130) :args (@t93 @t90 (@list @t87 @t92))) % 0.61/0.82 (assume-push @p184 @t81) % 0.61/0.82 (assume-push @p185 @t94) % 0.61/0.82 (assume-push @p186 @t53) % 0.61/0.82 (assume-push @p187 @t96) % 0.61/0.82 (assume-push @p188 @t97) % 0.61/0.82 (assume-push @p189 @t53) % 0.61/0.82 (assume-push @p190 @t97) % 0.61/0.82 (assume-push @p191 @t94) % 0.61/0.82 (assume-push @p192 @t81) % 0.61/0.82 (assume-push @p193 @t96) % 0.61/0.82 (step @p26 :rule instantiate :premises (@p2) :args (@t52)) % 0.61/0.82 (step @p153 :rule refl :args (@t46)) % 0.61/0.82 (step @p154 :rule cong :premises (@p153 @p39) :args (@t49)) % 0.61/0.82 (step @p155 :rule symm :premises (@p21)) % 0.61/0.82 (step @p156 :rule refl :args (@t44)) % 0.61/0.82 (step @p157 :rule cong :premises (@p156 @p184) :args (@t95)) % 0.61/0.82 (step @p158 :rule trans :premises (@p35 @p157 @p155 @p154 @p26)) % 0.61/0.82 (step-pop @p194 :rule scope :premises (@p158)) % 0.61/0.82 (step-pop @p195 :rule scope :premises (@p194)) % 0.61/0.82 (step-pop @p196 :rule scope :premises (@p195)) % 0.61/0.82 (step-pop @p197 :rule scope :premises (@p196)) % 0.61/0.82 (step-pop @p198 :rule scope :premises (@p197)) % 0.61/0.82 (step @p159 :rule process_scope :premises (@p198) :args (@t91)) % 0.61/0.82 (step @p165 :rule and_intro :premises (@p31 @p39 @p21 @p184 @p35)) % 0.61/0.82 (step @p166 :rule modus_ponens :premises (@p165 @p159)) % 0.61/0.82 (step-pop @p199 :rule scope :premises (@p166)) % 0.61/0.82 (step-pop @p200 :rule scope :premises (@p199)) % 0.61/0.82 (step-pop @p201 :rule scope :premises (@p200)) % 0.61/0.82 (step-pop @p202 :rule scope :premises (@p201)) % 0.61/0.82 (step-pop @p203 :rule scope :premises (@p202)) % 0.61/0.82 (step @p167 :rule process_scope :premises (@p203) :args (@t91)) % 0.61/0.82 (step @p173 :rule implies_elim :premises (@p167)) % 0.61/0.82 (step @p174 :rule cnf_and_neg :args (@t98)) % 0.61/0.82 (step @p175 :rule resolution :premises (@p174 @p173) :args (true @t98)) % 0.61/0.82 (step @p176 :rule reordering :premises (@p175) :args ((or @t82 @t91 (not @t94) (not @t53) (not @t96) (not @t97)))) % 0.61/0.82 (step @p177 false :rule chain_m_resolution :premises (@p176 @p142 @p129 @p39 @p35 @p31 @p21) :args (false (@list true false false false false false) (@list @t91 @t81 @t97 @t96 @t53 @t94))) % 0.61/0.82 ) % 0.61/0.82 % SZS output end Proof % 0.61/0.82 % cvc5 exiting %------------------------------------------------------------------------------