%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : KLE021+3 : 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 : n006.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 08:28:06 AM UTC 2026 % Result : Theorem 0.37s 0.90s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : KLE021+3 : 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 % 0.18/0.35 % Computer : n006.cluster.edu % 0.18/0.35 % Model : x86_64 x86_64 % 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.35 % Memory : 8042.1875MB % 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.35 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Tue Jun 2 05:10:19 EDT 2026 % 0.18/0.35 % CPUTime : % 0.28/0.52 %----Proving TF0_NAR, FOF, or CNF % 0.37/0.90 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.37/0.90 % SZS status Theorem % 0.37/0.90 % SZS output start Proof % 0.37/0.90 ( % 0.37/0.90 (declare-sort $$unsorted 0) % 0.37/0.90 (declare-const tptp.c (-> $$unsorted $$unsorted)) % 0.37/0.90 (declare-const tptp.test (-> $$unsorted Bool)) % 0.37/0.90 (declare-const tptp.complement (-> $$unsorted $$unsorted Bool)) % 0.37/0.90 (declare-const tptp.multiplication (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.90 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.37/0.90 (declare-const tptp.zero $$unsorted) % 0.37/0.90 (declare-const tptp.one $$unsorted) % 0.37/0.90 (declare-const tptp.addition (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.90 (define @t1 () (@var "A" $$unsorted)) % 0.37/0.90 (define @t2 () (@var "B" $$unsorted)) % 0.37/0.90 (define @t3 () (tptp.addition @t1 @t2)) % 0.37/0.90 (define @t4 () (@list @t1 @t2)) % 0.37/0.90 (define @t5 () (@var "C" $$unsorted)) % 0.37/0.90 (define @t6 () (tptp.addition @t2 @t5)) % 0.37/0.90 (define @t7 () (@list @t1)) % 0.37/0.90 (define @t8 () (tptp.addition @t1 @t1)) % 0.37/0.90 (define @t9 () (forall @t7 (= @t8 @t1))) % 0.37/0.90 (define @t10 () (tptp.multiplication @t1 @t2)) % 0.37/0.90 (define @t11 () (tptp.multiplication @t2 @t5)) % 0.37/0.90 (define @t12 () (@list @t1 @t2 @t5)) % 0.37/0.90 (define @t13 () (tptp.multiplication tptp.one @t1)) % 0.37/0.90 (define @t14 () (forall @t7 (= @t13 @t1))) % 0.37/0.90 (define @t15 () (tptp.multiplication @t1 @t5)) % 0.37/0.90 (define @t16 () (forall @t12 (= (tptp.multiplication @t3 @t5) (tptp.addition @t15 @t11)))) % 0.37/0.90 (define @t17 () (@var "X0" $$unsorted)) % 0.37/0.90 (define @t18 () (@var "X1" $$unsorted)) % 0.37/0.90 (define @t19 () (tptp.complement @t18 @t17)) % 0.37/0.90 (define @t20 () (@list @t18)) % 0.37/0.90 (define @t21 () (exists @t20 @t19)) % 0.37/0.90 (define @t22 () (tptp.test @t17)) % 0.37/0.90 (define @t23 () (= @t22 @t21)) % 0.37/0.90 (define @t24 () (@list @t17)) % 0.37/0.90 (define @t25 () (forall @t24 @t23)) % 0.37/0.90 (define @t26 () (tptp.addition @t17 @t18)) % 0.37/0.90 (define @t27 () (tptp.multiplication @t18 @t17)) % 0.37/0.90 (define @t28 () (tptp.multiplication @t17 @t18)) % 0.37/0.90 (define @t29 () (and (= @t28 tptp.zero) (= @t27 tptp.zero) (= @t26 tptp.one))) % 0.37/0.90 (define @t30 () (= @t19 @t29)) % 0.37/0.90 (define @t31 () (@list @t17 @t18)) % 0.37/0.90 (define @t32 () (forall @t31 @t30)) % 0.37/0.90 (define @t33 () (tptp.complement @t17 @t18)) % 0.37/0.90 (define @t34 () (tptp.c @t17)) % 0.37/0.90 (define @t35 () (= (= @t34 @t18) @t33)) % 0.37/0.90 (define @t36 () (=> @t22 @t35)) % 0.37/0.90 (define @t37 () (forall @t31 @t36)) % 0.37/0.90 (define @t38 () (not @t22)) % 0.37/0.90 (define @t39 () (tptp.c @t18)) % 0.37/0.90 (define @t40 () (tptp.test @t18)) % 0.37/0.90 (define @t41 () (and @t22 @t40)) % 0.37/0.90 (define @t42 () (= @t17 (tptp.addition @t27 (tptp.multiplication @t39 @t17)))) % 0.37/0.90 (define @t43 () (forall @t31 (=> @t40 @t42))) % 0.37/0.90 (define @t44 () (not @t43)) % 0.37/0.90 (define @t45 () (forall @t31 (or (not @t40) @t42))) % 0.37/0.90 (define @t46 () (@quantifiers_skolemize @t45 0)) % 0.37/0.90 (define @t47 () (@quantifiers_skolemize @t45 1)) % 0.37/0.90 (define @t48 () (tptp.c @t47)) % 0.37/0.90 (define @t49 () (tptp.addition (tptp.multiplication @t47 @t46) (tptp.multiplication @t48 @t46))) % 0.37/0.90 (define @t50 () (= @t46 @t49)) % 0.37/0.90 (define @t51 () (tptp.test @t47)) % 0.37/0.90 (define @t52 () (not @t51)) % 0.37/0.90 (define @t53 () (or @t52 @t50)) % 0.37/0.90 (define @t54 () (not @t50)) % 0.37/0.90 (define @t55 () (@list true)) % 0.37/0.90 (define @t56 () (@list @t53)) % 0.37/0.90 (define @t57 () (tptp.addition @t47 @t48)) % 0.37/0.90 (define @t58 () (tptp.multiplication @t57 @t46)) % 0.37/0.90 (define @t59 () (= @t58 @t49)) % 0.37/0.90 (define @t60 () (@list @t47 @t48 @t46)) % 0.37/0.90 (define @t61 () (= @t49 @t58)) % 0.37/0.90 (define @t62 () (@list false)) % 0.37/0.90 (define @t63 () (forall @t20 (not (tptp.complement @t18 @t47)))) % 0.37/0.90 (define @t64 () (@quantifiers_skolemize @t63 0)) % 0.37/0.90 (define @t65 () (@list @t47 @t64)) % 0.37/0.90 (define @t66 () (@list @t47)) % 0.37/0.90 (define @t67 () (not @t63)) % 0.37/0.90 (define @t68 () (= @t51 @t67)) % 0.37/0.90 (define @t69 () (@list false false)) % 0.37/0.90 (define @t70 () (tptp.complement @t64 @t47)) % 0.37/0.90 (define @t71 () (not @t70)) % 0.37/0.90 (define @t72 () (not @t71)) % 0.37/0.90 (define @t73 () (tptp.addition @t47 @t64)) % 0.37/0.90 (define @t74 () (= tptp.one @t73)) % 0.37/0.90 (define @t75 () (= tptp.zero (tptp.multiplication @t64 @t47))) % 0.37/0.90 (define @t76 () (= tptp.zero (tptp.multiplication @t47 @t64))) % 0.37/0.90 (define @t77 () (and @t76 @t75 @t74)) % 0.37/0.90 (define @t78 () (= @t70 @t77)) % 0.37/0.90 (define @t79 () (not @t77)) % 0.37/0.90 (define @t80 () (@list @t77)) % 0.37/0.90 (define @t81 () (= @t18 @t34)) % 0.37/0.90 (define @t82 () (= @t33 @t81)) % 0.37/0.90 (define @t83 () (tptp.complement @t47 @t64)) % 0.37/0.90 (define @t84 () (= @t83 (= @t64 @t48))) % 0.37/0.90 (define @t85 () (or @t52 @t84)) % 0.37/0.90 (define @t86 () (forall @t31 (or @t38 @t82))) % 0.37/0.90 (define @t87 () (= @t48 @t64)) % 0.37/0.90 (define @t88 () (= @t83 @t87)) % 0.37/0.90 (define @t89 () (or @t52 @t88)) % 0.37/0.90 (define @t90 () (= tptp.one (tptp.addition @t64 @t47))) % 0.37/0.90 (define @t91 () (and @t75 @t76 @t90)) % 0.37/0.90 (define @t92 () (= @t83 @t91)) % 0.37/0.90 (define @t93 () (tptp.multiplication tptp.one @t46)) % 0.37/0.90 (define @t94 () (= @t46 @t93)) % 0.37/0.90 (define @t95 () (not @t94)) % 0.37/0.90 (define @t96 () (not @t87)) % 0.37/0.90 (define @t97 () (tptp.addition @t47 @t47)) % 0.37/0.90 (define @t98 () (= @t47 @t97)) % 0.37/0.90 (define @t99 () (not @t98)) % 0.37/0.90 (define @t100 () (not @t74)) % 0.37/0.90 (define @t101 () (tptp.addition @t48 @t47)) % 0.37/0.90 (define @t102 () (= @t57 @t101)) % 0.37/0.90 (define @t103 () (not @t102)) % 0.37/0.90 (define @t104 () (not @t61)) % 0.37/0.90 (define @t105 () (tptp.multiplication @t101 @t46)) % 0.37/0.90 (define @t106 () (tptp.addition @t97 @t64)) % 0.37/0.90 (define @t107 () (and @t95 @t94)) % 0.37/0.90 (assume @p1 (forall @t4 (= @t3 (tptp.addition @t2 @t1)))) % 0.37/0.90 (assume @p2 (forall (@list @t5 @t2 @t1) (= (tptp.addition @t1 @t6) (tptp.addition @t3 @t5)))) % 0.37/0.90 (assume @p3 (forall @t7 (= (tptp.addition @t1 tptp.zero) @t1))) % 0.37/0.90 (assume @p4 @t9) % 0.37/0.90 (assume @p5 (forall @t12 (= (tptp.multiplication @t1 @t11) (tptp.multiplication @t10 @t5)))) % 0.37/0.90 (assume @p6 (forall @t7 (= (tptp.multiplication @t1 tptp.one) @t1))) % 0.37/0.90 (assume @p7 @t14) % 0.37/0.90 (assume @p8 (forall @t12 (= (tptp.multiplication @t1 @t6) (tptp.addition @t10 @t15)))) % 0.37/0.90 (assume @p9 @t16) % 0.37/0.90 (assume @p10 (forall @t7 (= (tptp.multiplication @t1 tptp.zero) tptp.zero))) % 0.37/0.90 (assume @p11 (forall @t7 (= (tptp.multiplication tptp.zero @t1) tptp.zero))) % 0.37/0.90 (assume @p12 (forall @t4 (= (tptp.leq @t1 @t2) (= @t3 @t2)))) % 0.37/0.90 (assume @p13 @t25) % 0.37/0.90 (assume @p14 @t32) % 0.37/0.90 (assume @p15 @t37) % 0.37/0.90 (assume @p16 (forall @t24 (=> @t38 (= @t34 tptp.zero)))) % 0.37/0.90 (assume @p17 (forall @t31 (=> @t41 (= (tptp.c @t26) (tptp.multiplication @t34 @t39))))) % 0.37/0.90 (assume @p18 (forall @t31 (=> @t41 (= (tptp.c @t28) (tptp.addition @t34 @t39))))) % 0.37/0.90 (assume @p19 @t44) % 0.37/0.90 (assume @p20 true) % 0.37/0.90 (step @p21 :rule bool-impl-elim :args (@t40 @t42)) % 0.37/0.90 (step @p22 :rule cong :premises (@p21) :args (@t43)) % 0.37/0.90 (step @p23 :rule cong :premises (@p22) :args (@t44)) % 0.37/0.90 (step @p24 :rule eq_resolve :premises (@p19 @p23)) % 0.37/0.90 (step @p25 :rule skolemize :premises (@p24)) % 0.37/0.90 (step @p26 :rule cnf_or_neg :args (@t53 1)) % 0.37/0.90 (step @p27 :rule chain_m_resolution :premises (@p26 @p25) :args (@t54 @t55 @t56)) % 0.37/0.90 (step @p28 :rule eq-symm :args (@t58 @t49)) % 0.37/0.90 (step @p29 :rule refl :args (@t16)) % 0.37/0.90 (step @p30 :rule cong :premises (@p29 @p28) :args ((=> @t16 @t59))) % 0.37/0.90 (assume-push @p194 @t16) % 0.37/0.90 (step @p32 :rule instantiate :premises (@p9) :args (@t60)) % 0.37/0.90 (step-pop @p195 :rule scope :premises (@p32)) % 0.37/0.90 (step @p33 :rule process_scope :premises (@p195) :args (@t59)) % 0.37/0.90 (step @p35 :rule eq_resolve :premises (@p33 @p30)) % 0.37/0.90 (step @p36 :rule implies_elim :premises (@p35)) % 0.37/0.90 (step @p37 :rule chain_m_resolution :premises (@p36 @p9) :args (@t61 @t62 (@list @t16))) % 0.37/0.90 (step @p38 :rule instantiate :premises (@p1) :args ((@list @t47 @t48))) % 0.37/0.90 (step @p39 :rule eq-symm :args (@t26 tptp.one)) % 0.37/0.90 (step @p40 :rule eq-symm :args (@t27 tptp.zero)) % 0.37/0.90 (step @p41 :rule eq-symm :args (@t28 tptp.zero)) % 0.37/0.90 (step @p42 :rule nary_cong :premises (@p41 @p40 @p39) :args (@t29)) % 0.37/0.90 (step @p43 :rule refl :args (@t19)) % 0.37/0.90 (step @p44 :rule cong :premises (@p43 @p42) :args (@t30)) % 0.37/0.90 (step @p45 :rule cong :premises (@p44) :args (@t32)) % 0.37/0.90 (step @p46 :rule eq_resolve :premises (@p14 @p45)) % 0.37/0.90 (step @p47 :rule instantiate :premises (@p46) :args (@t65)) % 0.37/0.90 (step @p48 :rule exists-elim :args ((= @t21 (not (forall @t20 (not @t19)))))) % 0.37/0.90 (step @p49 :rule refl :args (@t22)) % 0.37/0.90 (step @p50 :rule cong :premises (@p49 @p48) :args (@t23)) % 0.37/0.90 (step @p51 :rule cong :premises (@p50) :args (@t25)) % 0.37/0.90 (step @p52 :rule eq_resolve :premises (@p13 @p51)) % 0.37/0.90 (step @p53 :rule instantiate :premises (@p52) :args (@t66)) % 0.37/0.90 (step @p54 :rule bool-double-not-elim :args (@t51)) % 0.37/0.90 (step @p55 :rule refl :args (@t53)) % 0.37/0.90 (step @p56 :rule nary_cong :premises (@p55 @p54) :args ((or @t53 (not @t52)))) % 0.37/0.90 (step @p57 :rule cnf_or_neg :args (@t53 0)) % 0.37/0.90 (step @p58 :rule eq_resolve :premises (@p57 @p56)) % 0.37/0.90 (step @p59 :rule reordering :premises (@p58) :args ((or @t51 @t53))) % 0.37/0.90 (step @p60 :rule chain_m_resolution :premises (@p59 @p25) :args (@t51 @t55 @t56)) % 0.37/0.90 (step @p61 :rule cnf_equiv_pos1 :args (@t68)) % 0.37/0.90 (step @p62 :rule reordering :premises (@p61) :args ((or @t52 @t67 (not @t68)))) % 0.37/0.90 (step @p63 :rule chain_m_resolution :premises (@p62 @p60 @p53) :args (@t67 @t69 (@list @t51 @t68))) % 0.37/0.90 (step @p64 :rule refl :args (@t70)) % 0.37/0.90 (step @p65 :rule bool-double-not-elim :args (@t63)) % 0.37/0.90 (step @p66 :rule nary_cong :premises (@p65 @p64) :args ((or (not @t67) @t70))) % 0.37/0.90 (step @p67 :rule bool-double-not-elim :args (@t70)) % 0.37/0.90 (step @p68 :rule refl :args (@t67)) % 0.37/0.90 (step @p69 :rule cong :premises (@p68 @p67) :args ((=> @t67 @t72))) % 0.37/0.90 (assume-push @p196 @t67) % 0.37/0.90 (step @p71 :rule skolemize :premises (@p63)) % 0.37/0.90 (step-pop @p197 :rule scope :premises (@p71)) % 0.37/0.90 (step @p72 :rule process_scope :premises (@p197) :args (@t72)) % 0.37/0.90 (step @p74 :rule eq_resolve :premises (@p72 @p69)) % 0.37/0.90 (step @p75 :rule implies_elim :premises (@p74)) % 0.37/0.90 (step @p76 :rule eq_resolve :premises (@p75 @p66)) % 0.37/0.90 (step @p77 :rule chain_m_resolution :premises (@p76 @p63) :args (@t70 @t55 (@list @t63))) % 0.37/0.90 (step @p78 :rule cnf_equiv_pos1 :args (@t78)) % 0.37/0.90 (step @p79 :rule reordering :premises (@p78) :args ((or @t71 @t77 (not @t78)))) % 0.37/0.90 (step @p80 :rule chain_m_resolution :premises (@p79 @p77 @p47) :args (@t77 @t69 (@list @t70 @t78))) % 0.37/0.90 (step @p81 :rule cnf_and_pos :args (@t77 2)) % 0.37/0.90 (step @p82 :rule reordering :premises (@p81) :args ((or @t74 @t79))) % 0.37/0.90 (step @p83 :rule chain_m_resolution :premises (@p82 @p80) :args (@t74 @t62 @t80)) % 0.37/0.90 (step @p84 :rule eq-symm :args (@t8 @t1)) % 0.37/0.90 (step @p85 :rule cong :premises (@p84) :args (@t9)) % 0.37/0.90 (step @p86 :rule eq_resolve :premises (@p4 @p85)) % 0.37/0.90 (step @p87 :rule instantiate :premises (@p86) :args (@t66)) % 0.37/0.90 (step @p88 :rule bool-impl-elim :args (@t22 @t82)) % 0.37/0.90 (step @p89 :rule cong :premises (@p88) :args ((forall @t31 (=> @t22 @t82)))) % 0.37/0.90 (step @p90 :rule eq-symm :args (@t81 @t33)) % 0.37/0.90 (step @p91 :rule refl :args (@t33)) % 0.37/0.90 (step @p92 :rule eq-symm :args (@t34 @t18)) % 0.37/0.90 (step @p93 :rule cong :premises (@p92 @p91) :args (@t35)) % 0.37/0.90 (step @p94 :rule trans :premises (@p93 @p90)) % 0.37/0.90 (step @p95 :rule cong :premises (@p49 @p94) :args (@t36)) % 0.37/0.90 (step @p96 :rule cong :premises (@p95) :args (@t37)) % 0.37/0.90 (step @p97 :rule trans :premises (@p96 @p89)) % 0.37/0.90 (step @p98 :rule eq_resolve :premises (@p15 @p97)) % 0.37/0.90 (step @p99 :rule eq-symm :args (@t64 @t48)) % 0.37/0.90 (step @p100 :rule refl :args (@t83)) % 0.37/0.90 (step @p101 :rule cong :premises (@p100 @p99) :args (@t84)) % 0.37/0.90 (step @p102 :rule refl :args (@t52)) % 0.37/0.90 (step @p103 :rule nary_cong :premises (@p102 @p101) :args (@t85)) % 0.37/0.90 (step @p104 :rule refl :args (@t86)) % 0.37/0.90 (step @p105 :rule cong :premises (@p104 @p103) :args ((=> @t86 @t85))) % 0.37/0.90 (assume-push @p198 @t86) % 0.37/0.90 (step @p107 :rule instantiate :premises (@p98) :args (@t65)) % 0.37/0.90 (step-pop @p199 :rule scope :premises (@p107)) % 0.37/0.90 (step @p108 :rule process_scope :premises (@p199) :args (@t85)) % 0.37/0.90 (step @p110 :rule eq_resolve :premises (@p108 @p105)) % 0.37/0.90 (step @p111 :rule implies_elim :premises (@p110)) % 0.37/0.90 (step @p112 :rule chain_m_resolution :premises (@p111 @p98) :args (@t89 @t62 (@list @t86))) % 0.37/0.90 (step @p113 :rule cnf_or_pos :args (@t89)) % 0.37/0.90 (step @p114 :rule reordering :premises (@p113) :args ((or @t52 @t88 (not @t89)))) % 0.37/0.90 (step @p115 :rule chain_m_resolution :premises (@p114 @p60 @p112) :args (@t88 @t69 (@list @t51 @t89))) % 0.37/0.90 (step @p116 :rule instantiate :premises (@p46) :args ((@list @t64 @t47))) % 0.37/0.90 (step @p117 :rule instantiate :premises (@p1) :args (@t65)) % 0.37/0.90 (step @p118 :rule trans :premises (@p83 @p117)) % 0.37/0.90 (step @p119 :rule cnf_and_pos :args (@t77 1)) % 0.37/0.90 (step @p120 :rule reordering :premises (@p119) :args ((or @t75 @t79))) % 0.37/0.90 (step @p121 :rule chain_m_resolution :premises (@p120 @p80) :args (@t75 @t62 @t80)) % 0.37/0.90 (step @p122 :rule cnf_and_pos :args (@t77 0)) % 0.37/0.90 (step @p123 :rule reordering :premises (@p122) :args ((or @t76 @t79))) % 0.37/0.90 (step @p124 :rule chain_m_resolution :premises (@p123 @p80) :args (@t76 @t62 @t80)) % 0.37/0.90 (step @p125 :rule cnf_and_neg :args (@t91)) % 0.37/0.90 (step @p126 :rule reordering :premises (@p125) :args ((or (not @t76) (not @t75) @t91 (not @t90)))) % 0.37/0.90 (step @p127 :rule chain_m_resolution :premises (@p126 @p124 @p121 @p118) :args (@t91 (@list false false false) (@list @t76 @t75 @t90))) % 0.37/0.90 (step @p128 :rule cnf_equiv_pos2 :args (@t92)) % 0.37/0.90 (step @p129 :rule reordering :premises (@p128) :args ((or @t83 (not @t91) (not @t92)))) % 0.37/0.90 (step @p130 :rule chain_m_resolution :premises (@p129 @p127 @p116) :args (@t83 @t69 (@list @t91 @t92))) % 0.37/0.90 (step @p131 :rule cnf_equiv_pos1 :args (@t88)) % 0.37/0.90 (step @p132 :rule reordering :premises (@p131) :args ((or (not @t83) @t87 (not @t88)))) % 0.37/0.90 (step @p133 :rule chain_m_resolution :premises (@p132 @p130 @p115) :args (@t87 @t69 (@list @t83 @t88))) % 0.37/0.90 (step @p134 :rule eq-symm :args (@t13 @t1)) % 0.37/0.90 (step @p135 :rule cong :premises (@p134) :args (@t14)) % 0.37/0.90 (step @p136 :rule eq_resolve :premises (@p7 @p135)) % 0.37/0.90 (step @p137 :rule instantiate :premises (@p136) :args ((@list @t46))) % 0.37/0.90 (step @p138 :rule refl :args (@t95)) % 0.37/0.90 (step @p139 :rule refl :args (@t96)) % 0.37/0.90 (step @p140 :rule refl :args (@t99)) % 0.37/0.90 (step @p141 :rule refl :args (@t100)) % 0.37/0.90 (step @p142 :rule refl :args (@t103)) % 0.37/0.90 (step @p143 :rule refl :args (@t104)) % 0.37/0.90 (step @p144 :rule bool-double-not-elim :args (@t50)) % 0.37/0.90 (step @p145 :rule nary_cong :premises (@p144 @p143 @p142 @p141 @p140 @p139 @p138) :args ((or (not @t54) @t104 @t103 @t100 @t99 @t96 @t95))) % 0.37/0.90 (assume-push @p200 @t95) % 0.37/0.90 (assume-push @p201 @t94) % 0.37/0.90 (step @p148 :rule evaluate :args ((= false true))) % 0.37/0.90 (step @p149 :rule true_intro :premises (@p137)) % 0.37/0.90 (step @p150 :rule false_intro :premises (@p27)) % 0.37/0.90 (step @p32 :rule instantiate :premises (@p9) :args (@t60)) % 0.37/0.90 (step @p151 :rule refl :args (@t46)) % 0.37/0.90 (step @p152 :rule symm :premises (@p38)) % 0.37/0.90 (step @p153 :rule cong :premises (@p152 @p151) :args (@t105)) % 0.37/0.90 (step @p154 :rule symm :premises (@p133)) % 0.37/0.90 (step @p155 :rule symm :premises (@p87)) % 0.37/0.90 (step @p156 :rule cong :premises (@p155 @p154) :args (@t106)) % 0.37/0.90 (step @p157 :rule refl :args (@t64)) % 0.37/0.90 (step @p158 :rule cong :premises (@p87 @p157) :args (@t73)) % 0.37/0.90 (step @p159 :rule trans :premises (@p83 @p158 @p156)) % 0.37/0.90 (step @p160 :rule trans :premises (@p159 @p38)) % 0.37/0.90 (step @p161 :rule cong :premises (@p160 @p151) :args (@t93)) % 0.37/0.90 (step @p162 :rule trans :premises (@p161 @p153 @p32)) % 0.37/0.90 (step @p163 :rule cong :premises (@p151 @p162) :args (@t94)) % 0.37/0.90 (step @p164 :rule trans :premises (@p163 @p150)) % 0.37/0.90 (step @p165 :rule symm :premises (@p164)) % 0.37/0.90 (step @p166 :rule trans :premises (@p165 @p149)) % 0.37/0.90 (step @p167 false :rule eq_resolve :premises (@p166 @p148)) % 0.37/0.90 (step-pop @p202 :rule scope :premises (@p167)) % 0.37/0.90 (step-pop @p203 :rule scope :premises (@p202)) % 0.37/0.90 (step @p168 :rule process_scope :premises (@p203) :args (false)) % 0.37/0.90 (assume-push @p204 @t54) % 0.37/0.90 (assume-push @p205 @t61) % 0.37/0.90 (assume-push @p206 @t102) % 0.37/0.90 (assume-push @p207 @t74) % 0.37/0.90 (assume-push @p208 @t98) % 0.37/0.90 (assume-push @p209 @t87) % 0.37/0.90 (assume-push @p210 @t94) % 0.37/0.90 (step @p150 :rule false_intro :premises (@p27)) % 0.37/0.90 (step @p32 :rule instantiate :premises (@p9) :args (@t60)) % 0.37/0.90 (step @p151 :rule refl :args (@t46)) % 0.37/0.90 (step @p152 :rule symm :premises (@p38)) % 0.37/0.90 (step @p153 :rule cong :premises (@p152 @p151) :args (@t105)) % 0.37/0.90 (step @p154 :rule symm :premises (@p133)) % 0.37/0.90 (step @p155 :rule symm :premises (@p87)) % 0.37/0.90 (step @p156 :rule cong :premises (@p155 @p154) :args (@t106)) % 0.37/0.90 (step @p157 :rule refl :args (@t64)) % 0.37/0.90 (step @p158 :rule cong :premises (@p87 @p157) :args (@t73)) % 0.37/0.90 (step @p159 :rule trans :premises (@p83 @p158 @p156)) % 0.37/0.90 (step @p160 :rule trans :premises (@p159 @p38)) % 0.37/0.90 (step @p161 :rule cong :premises (@p160 @p151) :args (@t93)) % 0.37/0.90 (step @p162 :rule trans :premises (@p161 @p153 @p32)) % 0.37/0.90 (step @p163 :rule cong :premises (@p151 @p162) :args (@t94)) % 0.37/0.90 (step @p178 :rule trans :premises (@p163 @p150)) % 0.37/0.90 (step @p179 :rule false_elim :premises (@p178)) % 0.37/0.90 (step @p180 :rule and_intro :premises (@p179 @p137)) % 0.37/0.90 (step-pop @p211 :rule scope :premises (@p180)) % 0.37/0.90 (step-pop @p212 :rule scope :premises (@p211)) % 0.37/0.90 (step-pop @p213 :rule scope :premises (@p212)) % 0.37/0.90 (step-pop @p214 :rule scope :premises (@p213)) % 0.37/0.90 (step-pop @p215 :rule scope :premises (@p214)) % 0.37/0.90 (step-pop @p216 :rule scope :premises (@p215)) % 0.37/0.90 (step-pop @p217 :rule scope :premises (@p216)) % 0.37/0.90 (step @p181 :rule process_scope :premises (@p217) :args (@t107)) % 0.37/0.90 (step @p189 :rule implies_elim :premises (@p181)) % 0.37/0.90 (step @p190 :rule resolution :premises (@p189 @p168) :args (true @t107)) % 0.37/0.90 (step @p191 :rule not_and :premises (@p190)) % 0.37/0.90 (step @p192 :rule eq_resolve :premises (@p191 @p145)) % 0.37/0.90 (step @p193 false :rule chain_m_resolution :premises (@p192 @p137 @p133 @p87 @p83 @p38 @p37 @p27) :args (false (@list false false false false false false true) (@list @t94 @t87 @t98 @t74 @t102 @t61 @t50))) % 0.37/0.90 ) % 0.37/0.90 % SZS output end Proof % 0.37/0.90 % cvc5 exiting %------------------------------------------------------------------------------