%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : KLE007+1 : 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 : n011.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 0.50s 0.75s % Output : Proof 0.50s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : KLE007+1 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n011.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 05:09:05 EDT 2026 % 0.17/0.34 % CPUTime : % 0.28/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.50/0.75 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.50/0.75 % SZS status Theorem % 0.50/0.75 % SZS output start Proof % 0.50/0.75 ( % 0.50/0.75 (declare-sort $$unsorted 0) % 0.50/0.75 (declare-const tptp.c (-> $$unsorted $$unsorted)) % 0.50/0.75 (declare-const tptp.test (-> $$unsorted Bool)) % 0.50/0.75 (declare-const tptp.complement (-> $$unsorted $$unsorted Bool)) % 0.50/0.75 (declare-const tptp.multiplication (-> $$unsorted $$unsorted $$unsorted)) % 0.50/0.75 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.50/0.75 (declare-const tptp.zero $$unsorted) % 0.50/0.75 (declare-const tptp.one $$unsorted) % 0.50/0.75 (declare-const tptp.addition (-> $$unsorted $$unsorted $$unsorted)) % 0.50/0.75 (define @t1 () (@var "A" $$unsorted)) % 0.50/0.75 (define @t2 () (@var "B" $$unsorted)) % 0.50/0.75 (define @t3 () (tptp.addition @t1 @t2)) % 0.50/0.75 (define @t4 () (@list @t1 @t2)) % 0.50/0.75 (define @t5 () (@var "C" $$unsorted)) % 0.50/0.75 (define @t6 () (tptp.addition @t2 @t5)) % 0.50/0.75 (define @t7 () (@list @t1)) % 0.50/0.75 (define @t8 () (tptp.multiplication @t1 @t2)) % 0.50/0.75 (define @t9 () (tptp.multiplication @t2 @t5)) % 0.50/0.75 (define @t10 () (@list @t1 @t2 @t5)) % 0.50/0.75 (define @t11 () (tptp.multiplication @t1 tptp.one)) % 0.50/0.75 (define @t12 () (forall @t7 (= @t11 @t1))) % 0.50/0.75 (define @t13 () (tptp.multiplication tptp.one @t1)) % 0.50/0.75 (define @t14 () (forall @t7 (= @t13 @t1))) % 0.50/0.75 (define @t15 () (tptp.multiplication @t1 @t5)) % 0.50/0.75 (define @t16 () (@var "X0" $$unsorted)) % 0.50/0.75 (define @t17 () (@var "X1" $$unsorted)) % 0.50/0.75 (define @t18 () (tptp.complement @t17 @t16)) % 0.50/0.75 (define @t19 () (tptp.test @t16)) % 0.50/0.75 (define @t20 () (@list @t16)) % 0.50/0.75 (define @t21 () (tptp.addition @t16 @t17)) % 0.50/0.75 (define @t22 () (tptp.multiplication @t17 @t16)) % 0.50/0.75 (define @t23 () (tptp.multiplication @t16 @t17)) % 0.50/0.75 (define @t24 () (and (= @t23 tptp.zero) (= @t22 tptp.zero) (= @t21 tptp.one))) % 0.50/0.75 (define @t25 () (= @t18 @t24)) % 0.50/0.75 (define @t26 () (@list @t16 @t17)) % 0.50/0.75 (define @t27 () (forall @t26 @t25)) % 0.50/0.75 (define @t28 () (tptp.complement @t16 @t17)) % 0.50/0.75 (define @t29 () (tptp.c @t16)) % 0.50/0.75 (define @t30 () (= (= @t29 @t17) @t28)) % 0.50/0.75 (define @t31 () (=> @t19 @t30)) % 0.50/0.75 (define @t32 () (forall @t26 @t31)) % 0.50/0.75 (define @t33 () (not @t19)) % 0.50/0.75 (define @t34 () (tptp.addition @t16 @t29)) % 0.50/0.75 (define @t35 () (= tptp.one (tptp.addition (tptp.multiplication @t34 @t17) (tptp.multiplication @t34 (tptp.c @t17))))) % 0.50/0.75 (define @t36 () (tptp.test @t17)) % 0.50/0.75 (define @t37 () (and @t36 @t19)) % 0.50/0.75 (define @t38 () (forall @t26 (=> @t37 @t35))) % 0.50/0.75 (define @t39 () (not @t38)) % 0.50/0.75 (define @t40 () (not @t36)) % 0.50/0.75 (define @t41 () (or @t40 @t33 @t35)) % 0.50/0.75 (define @t42 () (forall @t26 @t41)) % 0.50/0.75 (define @t43 () (@quantifiers_skolemize @t42 0)) % 0.50/0.75 (define @t44 () (tptp.c @t43)) % 0.50/0.75 (define @t45 () (@list @t43 @t44)) % 0.50/0.75 (define @t46 () (@quantifiers_skolemize @t42 1)) % 0.50/0.75 (define @t47 () (tptp.multiplication @t44 @t46)) % 0.50/0.75 (define @t48 () (tptp.multiplication @t43 @t46)) % 0.50/0.75 (define @t49 () (tptp.addition @t43 @t44)) % 0.50/0.75 (define @t50 () (tptp.multiplication @t49 @t46)) % 0.50/0.75 (define @t51 () (tptp.c @t46)) % 0.50/0.75 (define @t52 () (tptp.multiplication @t49 @t51)) % 0.50/0.75 (define @t53 () (= tptp.one (tptp.addition @t50 @t52))) % 0.50/0.75 (define @t54 () (tptp.test @t43)) % 0.50/0.75 (define @t55 () (not @t54)) % 0.50/0.75 (define @t56 () (tptp.test @t46)) % 0.50/0.75 (define @t57 () (not @t56)) % 0.50/0.75 (define @t58 () (or @t57 @t55 @t53)) % 0.50/0.75 (define @t59 () (@list true)) % 0.50/0.75 (define @t60 () (@list @t58)) % 0.50/0.75 (define @t61 () (= tptp.one (tptp.addition @t52 @t50))) % 0.50/0.75 (define @t62 () (and (= tptp.zero (tptp.multiplication @t52 @t50)) (= tptp.zero (tptp.multiplication @t50 @t52)) @t61)) % 0.50/0.75 (define @t63 () (not @t62)) % 0.50/0.75 (define @t64 () (tptp.complement @t50 @t52)) % 0.50/0.75 (define @t65 () (= @t64 @t62)) % 0.50/0.75 (define @t66 () (not @t64)) % 0.50/0.75 (define @t67 () (= @t17 @t29)) % 0.50/0.75 (define @t68 () (= @t28 @t67)) % 0.50/0.75 (define @t69 () (tptp.complement @t43 @t44)) % 0.50/0.75 (define @t70 () (= @t69 (= @t44 @t44))) % 0.50/0.75 (define @t71 () (or @t55 @t70)) % 0.50/0.75 (define @t72 () (forall @t26 (or @t33 @t68))) % 0.50/0.75 (define @t73 () (or @t55 @t69)) % 0.50/0.75 (define @t74 () (@list false)) % 0.50/0.75 (define @t75 () (@list @t72)) % 0.50/0.75 (define @t76 () (@list false false)) % 0.50/0.75 (define @t77 () (tptp.addition @t44 @t43)) % 0.50/0.75 (define @t78 () (= tptp.one @t77)) % 0.50/0.75 (define @t79 () (and (= tptp.zero (tptp.multiplication @t44 @t43)) (= tptp.zero (tptp.multiplication @t43 @t44)) @t78)) % 0.50/0.75 (define @t80 () (= @t69 @t79)) % 0.50/0.75 (define @t81 () (@list @t46)) % 0.50/0.75 (define @t82 () (@list @t51)) % 0.50/0.75 (define @t83 () (tptp.complement @t46 @t51)) % 0.50/0.75 (define @t84 () (= @t83 (= @t51 @t51))) % 0.50/0.75 (define @t85 () (or @t57 @t84)) % 0.50/0.75 (define @t86 () (or @t57 @t83)) % 0.50/0.75 (define @t87 () (not @t83)) % 0.50/0.75 (define @t88 () (tptp.multiplication tptp.one @t51)) % 0.50/0.75 (define @t89 () (= @t51 @t88)) % 0.50/0.75 (define @t90 () (not @t89)) % 0.50/0.75 (define @t91 () (tptp.multiplication tptp.one @t46)) % 0.50/0.75 (define @t92 () (= @t46 @t91)) % 0.50/0.75 (define @t93 () (not @t92)) % 0.50/0.75 (define @t94 () (= @t51 (tptp.multiplication @t51 tptp.one))) % 0.50/0.75 (define @t95 () (not @t94)) % 0.50/0.75 (define @t96 () (= @t46 (tptp.multiplication @t46 tptp.one))) % 0.50/0.75 (define @t97 () (not @t96)) % 0.50/0.75 (define @t98 () (= @t50 (tptp.multiplication @t50 tptp.one))) % 0.50/0.75 (define @t99 () (not @t98)) % 0.50/0.75 (define @t100 () (not @t78)) % 0.50/0.75 (define @t101 () (tptp.addition @t47 @t48)) % 0.50/0.75 (define @t102 () (tptp.addition @t48 @t47)) % 0.50/0.75 (define @t103 () (= @t102 @t101)) % 0.50/0.75 (define @t104 () (not @t103)) % 0.50/0.75 (define @t105 () (= @t50 @t102)) % 0.50/0.75 (define @t106 () (not @t105)) % 0.50/0.75 (define @t107 () (= @t49 @t77)) % 0.50/0.75 (define @t108 () (not @t107)) % 0.50/0.75 (define @t109 () (tptp.multiplication @t46 @t49)) % 0.50/0.75 (define @t110 () (tptp.multiplication @t51 @t49)) % 0.50/0.75 (define @t111 () (and @t107 @t105 @t103 @t78 @t66 @t98 @t96 @t94 @t92 @t89)) % 0.50/0.75 (assume @p1 (forall @t4 (= @t3 (tptp.addition @t2 @t1)))) % 0.50/0.75 (assume @p2 (forall (@list @t5 @t2 @t1) (= (tptp.addition @t1 @t6) (tptp.addition @t3 @t5)))) % 0.50/0.75 (assume @p3 (forall @t7 (= (tptp.addition @t1 tptp.zero) @t1))) % 0.50/0.75 (assume @p4 (forall @t7 (= (tptp.addition @t1 @t1) @t1))) % 0.50/0.75 (assume @p5 (forall @t10 (= (tptp.multiplication @t1 @t9) (tptp.multiplication @t8 @t5)))) % 0.50/0.75 (assume @p6 @t12) % 0.50/0.75 (assume @p7 @t14) % 0.50/0.75 (assume @p8 (forall @t10 (= (tptp.multiplication @t1 @t6) (tptp.addition @t8 @t15)))) % 0.50/0.75 (assume @p9 (forall @t10 (= (tptp.multiplication @t3 @t5) (tptp.addition @t15 @t9)))) % 0.50/0.75 (assume @p10 (forall @t7 (= (tptp.multiplication @t1 tptp.zero) tptp.zero))) % 0.50/0.75 (assume @p11 (forall @t7 (= (tptp.multiplication tptp.zero @t1) tptp.zero))) % 0.50/0.75 (assume @p12 (forall @t4 (= (tptp.leq @t1 @t2) (= @t3 @t2)))) % 0.50/0.75 (assume @p13 (forall @t20 (= @t19 (exists (@list @t17) @t18)))) % 0.50/0.75 (assume @p14 @t27) % 0.50/0.75 (assume @p15 @t32) % 0.50/0.75 (assume @p16 (forall @t20 (=> @t33 (= @t29 tptp.zero)))) % 0.50/0.75 (assume @p17 @t39) % 0.50/0.75 (assume @p18 true) % 0.50/0.75 (step @p19 :rule instantiate :premises (@p1) :args (@t45)) % 0.50/0.75 (step @p20 :rule instantiate :premises (@p9) :args ((@list @t43 @t44 @t46))) % 0.50/0.75 (step @p21 :rule instantiate :premises (@p1) :args ((@list @t48 @t47))) % 0.50/0.75 (step @p22 :rule eq-symm :args (@t21 tptp.one)) % 0.50/0.75 (step @p23 :rule eq-symm :args (@t22 tptp.zero)) % 0.50/0.75 (step @p24 :rule eq-symm :args (@t23 tptp.zero)) % 0.50/0.75 (step @p25 :rule nary_cong :premises (@p24 @p23 @p22) :args (@t24)) % 0.50/0.75 (step @p26 :rule refl :args (@t18)) % 0.50/0.75 (step @p27 :rule cong :premises (@p26 @p25) :args (@t25)) % 0.50/0.75 (step @p28 :rule cong :premises (@p27) :args (@t27)) % 0.50/0.75 (step @p29 :rule eq_resolve :premises (@p14 @p28)) % 0.50/0.75 (step @p30 :rule instantiate :premises (@p29) :args ((@list @t52 @t50))) % 0.50/0.75 (step @p31 :rule aci_norm :args ((= (or (or @t40 @t33) @t35) @t41))) % 0.50/0.75 (step @p32 :rule refl :args (@t35)) % 0.50/0.75 (step @p33 :rule bool-and-de-morgan :args (@t36 @t19 true)) % 0.50/0.75 (step @p34 :rule nary_cong :premises (@p33 @p32) :args ((or (not @t37) @t35))) % 0.50/0.75 (step @p35 :rule trans :premises (@p34 @p31)) % 0.50/0.75 (step @p36 :rule bool-impl-elim :args (@t37 @t35)) % 0.50/0.75 (step @p37 :rule trans :premises (@p36 @p35)) % 0.50/0.75 (step @p38 :rule cong :premises (@p37) :args (@t38)) % 0.50/0.75 (step @p39 :rule cong :premises (@p38) :args (@t39)) % 0.50/0.75 (step @p40 :rule eq_resolve :premises (@p17 @p39)) % 0.50/0.75 (step @p41 :rule skolemize :premises (@p40)) % 0.50/0.75 (step @p42 :rule cnf_or_neg :args (@t58 2)) % 0.50/0.75 (step @p43 :rule chain_m_resolution :premises (@p42 @p41) :args ((not @t53) @t59 @t60)) % 0.50/0.75 (step @p44 :rule false_intro :premises (@p43)) % 0.50/0.75 (step @p45 :rule instantiate :premises (@p1) :args ((@list @t50 @t52))) % 0.50/0.75 (step @p46 :rule symm :premises (@p45)) % 0.50/0.75 (step @p47 :rule refl :args (tptp.one)) % 0.50/0.75 (step @p48 :rule cong :premises (@p47 @p46) :args (@t61)) % 0.50/0.75 (step @p49 :rule trans :premises (@p48 @p44)) % 0.50/0.75 (step @p50 :rule false_elim :premises (@p49)) % 0.50/0.75 (step @p51 :rule cnf_and_pos :args (@t62 2)) % 0.50/0.75 (step @p52 :rule reordering :premises (@p51) :args ((or @t61 @t63))) % 0.50/0.75 (step @p53 :rule chain_m_resolution :premises (@p52 @p50) :args (@t63 @t59 (@list @t61))) % 0.50/0.75 (step @p54 :rule cnf_equiv_pos1 :args (@t65)) % 0.50/0.75 (step @p55 :rule reordering :premises (@p54) :args ((or @t62 @t66 (not @t65)))) % 0.50/0.75 (step @p56 :rule chain_m_resolution :premises (@p55 @p53 @p30) :args (@t66 (@list true false) (@list @t62 @t65))) % 0.50/0.75 (step @p57 :rule instantiate :premises (@p29) :args ((@list @t44 @t43))) % 0.50/0.75 (step @p58 :rule bool-impl-elim :args (@t19 @t68)) % 0.50/0.75 (step @p59 :rule cong :premises (@p58) :args ((forall @t26 (=> @t19 @t68)))) % 0.50/0.75 (step @p60 :rule eq-symm :args (@t67 @t28)) % 0.50/0.75 (step @p61 :rule refl :args (@t28)) % 0.50/0.75 (step @p62 :rule eq-symm :args (@t29 @t17)) % 0.50/0.75 (step @p63 :rule cong :premises (@p62 @p61) :args (@t30)) % 0.50/0.75 (step @p64 :rule trans :premises (@p63 @p60)) % 0.50/0.75 (step @p65 :rule refl :args (@t19)) % 0.50/0.75 (step @p66 :rule cong :premises (@p65 @p64) :args (@t31)) % 0.50/0.75 (step @p67 :rule cong :premises (@p66) :args (@t32)) % 0.50/0.75 (step @p68 :rule trans :premises (@p67 @p59)) % 0.50/0.75 (step @p69 :rule eq_resolve :premises (@p15 @p68)) % 0.50/0.75 (step @p70 :rule bool-eq-true :args (@t69)) % 0.50/0.75 (step @p71 :rule eq-refl :args (@t44)) % 0.50/0.75 (step @p72 :rule refl :args (@t69)) % 0.50/0.75 (step @p73 :rule cong :premises (@p72 @p71) :args (@t70)) % 0.50/0.75 (step @p74 :rule trans :premises (@p73 @p70)) % 0.50/0.75 (step @p75 :rule refl :args (@t55)) % 0.50/0.75 (step @p76 :rule nary_cong :premises (@p75 @p74) :args (@t71)) % 0.50/0.75 (step @p77 :rule refl :args (@t72)) % 0.50/0.75 (step @p78 :rule cong :premises (@p77 @p76) :args ((=> @t72 @t71))) % 0.50/0.75 (assume-push @p214 @t72) % 0.50/0.75 (step @p80 :rule instantiate :premises (@p69) :args (@t45)) % 0.50/0.75 (step-pop @p215 :rule scope :premises (@p80)) % 0.50/0.75 (step @p81 :rule process_scope :premises (@p215) :args (@t71)) % 0.50/0.75 (step @p83 :rule eq_resolve :premises (@p81 @p78)) % 0.50/0.75 (step @p84 :rule implies_elim :premises (@p83)) % 0.50/0.75 (step @p85 :rule chain_m_resolution :premises (@p84 @p69) :args (@t73 @t74 @t75)) % 0.50/0.75 (step @p86 :rule bool-double-not-elim :args (@t54)) % 0.50/0.75 (step @p87 :rule refl :args (@t58)) % 0.50/0.75 (step @p88 :rule nary_cong :premises (@p87 @p86) :args ((or @t58 (not @t55)))) % 0.50/0.75 (step @p89 :rule cnf_or_neg :args (@t58 1)) % 0.50/0.75 (step @p90 :rule eq_resolve :premises (@p89 @p88)) % 0.50/0.75 (step @p91 :rule reordering :premises (@p90) :args ((or @t54 @t58))) % 0.50/0.75 (step @p92 :rule chain_m_resolution :premises (@p91 @p41) :args (@t54 @t59 @t60)) % 0.50/0.75 (step @p93 :rule cnf_or_pos :args (@t73)) % 0.50/0.75 (step @p94 :rule reordering :premises (@p93) :args ((or @t55 @t69 (not @t73)))) % 0.50/0.75 (step @p95 :rule chain_m_resolution :premises (@p94 @p92 @p85) :args (@t69 @t76 (@list @t54 @t73))) % 0.50/0.75 (step @p96 :rule cnf_equiv_pos1 :args (@t80)) % 0.50/0.75 (step @p97 :rule reordering :premises (@p96) :args ((or @t79 (not @t69) (not @t80)))) % 0.50/0.75 (step @p98 :rule chain_m_resolution :premises (@p97 @p95 @p57) :args (@t79 @t76 (@list @t69 @t80))) % 0.50/0.75 (step @p99 :rule cnf_and_pos :args (@t79 2)) % 0.50/0.75 (step @p100 :rule reordering :premises (@p99) :args ((or @t78 (not @t79)))) % 0.50/0.75 (step @p101 :rule chain_m_resolution :premises (@p100 @p98) :args (@t78 @t74 (@list @t79))) % 0.50/0.75 (step @p102 :rule eq-symm :args (@t11 @t1)) % 0.50/0.75 (step @p103 :rule cong :premises (@p102) :args (@t12)) % 0.50/0.75 (step @p104 :rule eq_resolve :premises (@p6 @p103)) % 0.50/0.75 (step @p105 :rule instantiate :premises (@p104) :args ((@list @t50))) % 0.50/0.75 (step @p106 :rule instantiate :premises (@p104) :args (@t81)) % 0.50/0.75 (step @p107 :rule instantiate :premises (@p104) :args (@t82)) % 0.50/0.75 (step @p108 :rule eq-symm :args (@t13 @t1)) % 0.50/0.75 (step @p109 :rule cong :premises (@p108) :args (@t14)) % 0.50/0.75 (step @p110 :rule eq_resolve :premises (@p7 @p109)) % 0.50/0.75 (step @p111 :rule instantiate :premises (@p110) :args (@t81)) % 0.50/0.75 (step @p112 :rule instantiate :premises (@p110) :args (@t82)) % 0.50/0.75 (step @p113 :rule bool-eq-true :args (@t83)) % 0.50/0.75 (step @p114 :rule eq-refl :args (@t51)) % 0.50/0.75 (step @p115 :rule refl :args (@t83)) % 0.50/0.75 (step @p116 :rule cong :premises (@p115 @p114) :args (@t84)) % 0.50/0.75 (step @p117 :rule trans :premises (@p116 @p113)) % 0.50/0.75 (step @p118 :rule refl :args (@t57)) % 0.50/0.75 (step @p119 :rule nary_cong :premises (@p118 @p117) :args (@t85)) % 0.50/0.75 (step @p120 :rule cong :premises (@p77 @p119) :args ((=> @t72 @t85))) % 0.50/0.75 (assume-push @p216 @t72) % 0.50/0.75 (step @p122 :rule instantiate :premises (@p69) :args ((@list @t46 @t51))) % 0.50/0.75 (step-pop @p217 :rule scope :premises (@p122)) % 0.50/0.75 (step @p123 :rule process_scope :premises (@p217) :args (@t85)) % 0.50/0.75 (step @p125 :rule eq_resolve :premises (@p123 @p120)) % 0.50/0.75 (step @p126 :rule implies_elim :premises (@p125)) % 0.50/0.75 (step @p127 :rule chain_m_resolution :premises (@p126 @p69) :args (@t86 @t74 @t75)) % 0.50/0.75 (step @p128 :rule bool-double-not-elim :args (@t56)) % 0.50/0.75 (step @p129 :rule nary_cong :premises (@p87 @p128) :args ((or @t58 (not @t57)))) % 0.50/0.75 (step @p130 :rule cnf_or_neg :args (@t58 0)) % 0.50/0.75 (step @p131 :rule eq_resolve :premises (@p130 @p129)) % 0.50/0.75 (step @p132 :rule reordering :premises (@p131) :args ((or @t56 @t58))) % 0.50/0.75 (step @p133 :rule chain_m_resolution :premises (@p132 @p41) :args (@t56 @t59 @t60)) % 0.50/0.75 (step @p134 :rule cnf_or_pos :args (@t86)) % 0.50/0.75 (step @p135 :rule reordering :premises (@p134) :args ((or @t57 @t83 (not @t86)))) % 0.50/0.75 (step @p136 :rule chain_m_resolution :premises (@p135 @p133 @p127) :args (@t83 @t76 (@list @t56 @t86))) % 0.50/0.75 (step @p137 :rule refl :args (@t87)) % 0.50/0.75 (step @p138 :rule refl :args (@t90)) % 0.50/0.75 (step @p139 :rule refl :args (@t93)) % 0.50/0.75 (step @p140 :rule refl :args (@t95)) % 0.50/0.75 (step @p141 :rule refl :args (@t97)) % 0.50/0.75 (step @p142 :rule refl :args (@t99)) % 0.50/0.75 (step @p143 :rule bool-double-not-elim :args (@t64)) % 0.50/0.75 (step @p144 :rule refl :args (@t100)) % 0.50/0.75 (step @p145 :rule refl :args (@t104)) % 0.50/0.75 (step @p146 :rule refl :args (@t106)) % 0.50/0.75 (step @p147 :rule refl :args (@t108)) % 0.50/0.75 (step @p148 :rule nary_cong :premises (@p147 @p146 @p145 @p144 @p143 @p142 @p141 @p140 @p139 @p138 @p137) :args ((or @t108 @t106 @t104 @t100 (not @t66) @t99 @t97 @t95 @t93 @t90 @t87))) % 0.50/0.75 (assume-push @p218 @t107) % 0.50/0.75 (assume-push @p219 @t105) % 0.50/0.75 (assume-push @p220 @t103) % 0.50/0.75 (assume-push @p221 @t78) % 0.50/0.75 (assume-push @p222 @t66) % 0.50/0.75 (assume-push @p223 @t98) % 0.50/0.75 (assume-push @p224 @t96) % 0.50/0.75 (assume-push @p225 @t94) % 0.50/0.75 (assume-push @p226 @t92) % 0.50/0.75 (assume-push @p227 @t89) % 0.50/0.75 (step @p159 :rule false_intro :premises (@p56)) % 0.50/0.75 (step @p160 :rule refl :args (@t52)) % 0.50/0.75 (step @p161 :rule symm :premises (@p105)) % 0.50/0.75 (step @p162 :rule symm :premises (@p101)) % 0.50/0.75 (step @p163 :rule trans :premises (@p19 @p162)) % 0.50/0.75 (step @p164 :rule symm :premises (@p20)) % 0.50/0.75 (step @p165 :rule symm :premises (@p21)) % 0.50/0.75 (step @p166 :rule trans :premises (@p165 @p164)) % 0.50/0.75 (step @p167 :rule cong :premises (@p166 @p163) :args ((tptp.multiplication @t101 @t49))) % 0.50/0.75 (step @p168 :rule refl :args (@t49)) % 0.50/0.75 (step @p169 :rule symm :premises (@p166)) % 0.50/0.75 (step @p170 :rule cong :premises (@p169 @p168) :args ((tptp.multiplication @t50 @t49))) % 0.50/0.75 (step @p171 :rule trans :premises (@p170 @p167 @p161)) % 0.50/0.75 (step @p172 :rule symm :premises (@p170)) % 0.50/0.75 (step @p173 :rule symm :premises (@p167)) % 0.50/0.75 (step @p174 :rule refl :args (@t46)) % 0.50/0.75 (step @p175 :rule symm :premises (@p163)) % 0.50/0.75 (step @p176 :rule cong :premises (@p175 @p174) :args (@t91)) % 0.50/0.75 (step @p177 :rule symm :premises (@p106)) % 0.50/0.75 (step @p178 :rule cong :premises (@p174 @p163) :args (@t109)) % 0.50/0.75 (step @p179 :rule trans :premises (@p178 @p177 @p111 @p176 @p105 @p173 @p172)) % 0.50/0.75 (step @p180 :rule symm :premises (@p178)) % 0.50/0.75 (step @p181 :rule trans :premises (@p106 @p180)) % 0.50/0.75 (step @p182 :rule trans :premises (@p181 @p179 @p171)) % 0.50/0.75 (step @p183 :rule cong :premises (@p182 @p160) :args ((tptp.complement @t46 @t52))) % 0.50/0.75 (step @p184 :rule refl :args (@t51)) % 0.50/0.75 (step @p185 :rule cong :premises (@p175 @p184) :args (@t88)) % 0.50/0.75 (step @p186 :rule symm :premises (@p107)) % 0.50/0.75 (step @p187 :rule cong :premises (@p184 @p163) :args (@t110)) % 0.50/0.75 (step @p188 :rule trans :premises (@p187 @p186 @p112 @p185)) % 0.50/0.75 (step @p189 :rule cong :premises (@p174 @p188) :args ((tptp.complement @t46 @t110))) % 0.50/0.75 (step @p190 :rule symm :premises (@p187)) % 0.50/0.75 (step @p191 :rule trans :premises (@p107 @p190)) % 0.50/0.75 (step @p192 :rule symm :premises (@p181)) % 0.50/0.75 (step @p193 :rule cong :premises (@p192 @p191) :args ((tptp.complement @t109 @t51))) % 0.50/0.75 (step @p194 :rule cong :premises (@p181 @p184) :args (@t83)) % 0.50/0.75 (step @p195 :rule trans :premises (@p194 @p193 @p189 @p183 @p159)) % 0.50/0.75 (step @p196 :rule false_elim :premises (@p195)) % 0.50/0.75 (step-pop @p228 :rule scope :premises (@p196)) % 0.50/0.75 (step-pop @p229 :rule scope :premises (@p228)) % 0.50/0.75 (step-pop @p230 :rule scope :premises (@p229)) % 0.50/0.75 (step-pop @p231 :rule scope :premises (@p230)) % 0.50/0.75 (step-pop @p232 :rule scope :premises (@p231)) % 0.50/0.75 (step-pop @p233 :rule scope :premises (@p232)) % 0.50/0.75 (step-pop @p234 :rule scope :premises (@p233)) % 0.50/0.75 (step-pop @p235 :rule scope :premises (@p234)) % 0.50/0.75 (step-pop @p236 :rule scope :premises (@p235)) % 0.50/0.75 (step-pop @p237 :rule scope :premises (@p236)) % 0.50/0.75 (step @p197 :rule process_scope :premises (@p237) :args (@t87)) % 0.50/0.75 (step @p208 :rule implies_elim :premises (@p197)) % 0.50/0.75 (step @p209 :rule cnf_and_neg :args (@t111)) % 0.50/0.75 (step @p210 :rule resolution :premises (@p209 @p208) :args (true @t111)) % 0.50/0.75 (step @p211 :rule eq_resolve :premises (@p210 @p148)) % 0.50/0.75 (step @p212 :rule reordering :premises (@p211) :args ((or @t108 @t106 @t64 @t104 @t100 @t87 @t99 @t97 @t95 @t93 @t90))) % 0.50/0.75 (step @p213 false :rule chain_m_resolution :premises (@p212 @p136 @p112 @p111 @p107 @p106 @p105 @p101 @p56 @p21 @p20 @p19) :args (false (@list false false false false false false false true false false false) (@list @t83 @t89 @t92 @t94 @t96 @t98 @t78 @t64 @t103 @t105 @t107))) % 0.50/0.75 ) % 0.50/0.75 % SZS output end Proof % 0.50/0.75 % cvc5 exiting %------------------------------------------------------------------------------