%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : KLE021+2 : 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 : 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 08:28:06 AM UTC 2026 % Result : Theorem 0.39s 0.62s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : KLE021+2 : 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 : n028.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 05:10:20 EDT 2026 % 0.17/0.34 % CPUTime : % 0.31/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.39/0.62 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.39/0.62 % SZS status Theorem % 0.39/0.62 % SZS output start Proof % 0.39/0.62 ( % 0.39/0.62 (declare-sort $$unsorted 0) % 0.39/0.62 (declare-const tptp.c (-> $$unsorted $$unsorted)) % 0.39/0.62 (declare-const tptp.test (-> $$unsorted Bool)) % 0.39/0.62 (declare-const tptp.complement (-> $$unsorted $$unsorted Bool)) % 0.39/0.62 (declare-const tptp.multiplication (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.62 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.39/0.62 (declare-const tptp.zero $$unsorted) % 0.39/0.62 (declare-const tptp.one $$unsorted) % 0.39/0.62 (declare-const tptp.addition (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.62 (define @t1 () (@var "A" $$unsorted)) % 0.39/0.62 (define @t2 () (@var "B" $$unsorted)) % 0.39/0.62 (define @t3 () (tptp.addition @t1 @t2)) % 0.39/0.62 (define @t4 () (@list @t1 @t2)) % 0.39/0.62 (define @t5 () (@var "C" $$unsorted)) % 0.39/0.62 (define @t6 () (tptp.addition @t2 @t5)) % 0.39/0.62 (define @t7 () (@list @t1)) % 0.39/0.62 (define @t8 () (tptp.addition @t1 @t1)) % 0.39/0.62 (define @t9 () (forall @t7 (= @t8 @t1))) % 0.39/0.62 (define @t10 () (tptp.multiplication @t1 @t2)) % 0.39/0.62 (define @t11 () (tptp.multiplication @t2 @t5)) % 0.39/0.62 (define @t12 () (@list @t1 @t2 @t5)) % 0.39/0.62 (define @t13 () (tptp.multiplication tptp.one @t1)) % 0.39/0.62 (define @t14 () (forall @t7 (= @t13 @t1))) % 0.39/0.62 (define @t15 () (tptp.multiplication @t1 @t5)) % 0.39/0.62 (define @t16 () (forall @t12 (= (tptp.multiplication @t3 @t5) (tptp.addition @t15 @t11)))) % 0.39/0.62 (define @t17 () (tptp.leq @t1 @t2)) % 0.39/0.62 (define @t18 () (= @t17 (= @t3 @t2))) % 0.39/0.62 (define @t19 () (forall @t4 @t18)) % 0.39/0.62 (define @t20 () (@var "X0" $$unsorted)) % 0.39/0.62 (define @t21 () (@var "X1" $$unsorted)) % 0.39/0.62 (define @t22 () (tptp.complement @t21 @t20)) % 0.39/0.62 (define @t23 () (@list @t21)) % 0.39/0.62 (define @t24 () (exists @t23 @t22)) % 0.39/0.62 (define @t25 () (tptp.test @t20)) % 0.39/0.62 (define @t26 () (= @t25 @t24)) % 0.39/0.62 (define @t27 () (@list @t20)) % 0.39/0.62 (define @t28 () (forall @t27 @t26)) % 0.39/0.62 (define @t29 () (tptp.addition @t20 @t21)) % 0.39/0.62 (define @t30 () (tptp.multiplication @t21 @t20)) % 0.39/0.62 (define @t31 () (tptp.multiplication @t20 @t21)) % 0.39/0.62 (define @t32 () (and (= @t31 tptp.zero) (= @t30 tptp.zero) (= @t29 tptp.one))) % 0.39/0.62 (define @t33 () (= @t22 @t32)) % 0.39/0.62 (define @t34 () (@list @t20 @t21)) % 0.39/0.62 (define @t35 () (forall @t34 @t33)) % 0.39/0.62 (define @t36 () (tptp.complement @t20 @t21)) % 0.39/0.62 (define @t37 () (tptp.c @t20)) % 0.39/0.62 (define @t38 () (= (= @t37 @t21) @t36)) % 0.39/0.62 (define @t39 () (=> @t25 @t38)) % 0.39/0.62 (define @t40 () (forall @t34 @t39)) % 0.39/0.62 (define @t41 () (not @t25)) % 0.39/0.62 (define @t42 () (tptp.addition @t30 (tptp.multiplication (tptp.c @t21) @t20))) % 0.39/0.62 (define @t43 () (and (tptp.leq @t20 @t42) (tptp.leq @t42 @t20))) % 0.39/0.62 (define @t44 () (tptp.test @t21)) % 0.39/0.62 (define @t45 () (forall @t34 (=> @t44 @t43))) % 0.39/0.62 (define @t46 () (not @t45)) % 0.39/0.62 (define @t47 () (forall @t34 (or (not @t44) @t43))) % 0.39/0.62 (define @t48 () (@quantifiers_skolemize @t47 0)) % 0.39/0.62 (define @t49 () (@quantifiers_skolemize @t47 1)) % 0.39/0.62 (define @t50 () (tptp.c @t49)) % 0.39/0.62 (define @t51 () (tptp.addition (tptp.multiplication @t49 @t48) (tptp.multiplication @t50 @t48))) % 0.39/0.62 (define @t52 () (tptp.leq @t51 @t48)) % 0.39/0.62 (define @t53 () (tptp.leq @t48 @t51)) % 0.39/0.62 (define @t54 () (and @t53 @t52)) % 0.39/0.62 (define @t55 () (tptp.test @t49)) % 0.39/0.62 (define @t56 () (not @t55)) % 0.39/0.62 (define @t57 () (or @t56 @t54)) % 0.39/0.62 (define @t58 () (@list true)) % 0.39/0.62 (define @t59 () (@list @t57)) % 0.39/0.62 (define @t60 () (tptp.leq @t48 @t48)) % 0.39/0.62 (define @t61 () (tptp.addition @t48 @t48)) % 0.39/0.62 (define @t62 () (= @t48 @t61)) % 0.39/0.62 (define @t63 () (forall @t4 (= @t17 (= @t2 @t3)))) % 0.39/0.62 (define @t64 () (= @t60 @t62)) % 0.39/0.62 (define @t65 () (= @t62 @t60)) % 0.39/0.62 (define @t66 () (@list false)) % 0.39/0.62 (define @t67 () (@list @t48)) % 0.39/0.62 (define @t68 () (@list false false)) % 0.39/0.62 (define @t69 () (forall @t23 (not (tptp.complement @t21 @t49)))) % 0.39/0.62 (define @t70 () (@quantifiers_skolemize @t69 0)) % 0.39/0.62 (define @t71 () (@list @t49 @t70)) % 0.39/0.62 (define @t72 () (not @t69)) % 0.39/0.62 (define @t73 () (= @t55 @t72)) % 0.39/0.62 (define @t74 () (tptp.complement @t70 @t49)) % 0.39/0.62 (define @t75 () (not @t74)) % 0.39/0.62 (define @t76 () (not @t75)) % 0.39/0.62 (define @t77 () (= tptp.one (tptp.addition @t49 @t70))) % 0.39/0.62 (define @t78 () (= tptp.zero (tptp.multiplication @t70 @t49))) % 0.39/0.62 (define @t79 () (= tptp.zero (tptp.multiplication @t49 @t70))) % 0.39/0.62 (define @t80 () (and @t79 @t78 @t77)) % 0.39/0.62 (define @t81 () (= @t74 @t80)) % 0.39/0.62 (define @t82 () (not @t80)) % 0.39/0.62 (define @t83 () (@list @t80)) % 0.39/0.62 (define @t84 () (= @t21 @t37)) % 0.39/0.62 (define @t85 () (= @t36 @t84)) % 0.39/0.62 (define @t86 () (tptp.complement @t49 @t70)) % 0.39/0.62 (define @t87 () (= @t86 (= @t70 @t50))) % 0.39/0.62 (define @t88 () (or @t56 @t87)) % 0.39/0.62 (define @t89 () (forall @t34 (or @t41 @t85))) % 0.39/0.62 (define @t90 () (= @t50 @t70)) % 0.39/0.62 (define @t91 () (= @t86 @t90)) % 0.39/0.62 (define @t92 () (or @t56 @t91)) % 0.39/0.62 (define @t93 () (= tptp.one (tptp.addition @t70 @t49))) % 0.39/0.62 (define @t94 () (and @t78 @t79 @t93)) % 0.39/0.62 (define @t95 () (= @t86 @t94)) % 0.39/0.62 (define @t96 () (tptp.addition @t49 @t50)) % 0.39/0.62 (define @t97 () (tptp.multiplication @t96 @t48)) % 0.39/0.62 (define @t98 () (= @t97 @t51)) % 0.39/0.62 (assume @p1 (forall @t4 (= @t3 (tptp.addition @t2 @t1)))) % 0.39/0.62 (assume @p2 (forall (@list @t5 @t2 @t1) (= (tptp.addition @t1 @t6) (tptp.addition @t3 @t5)))) % 0.39/0.62 (assume @p3 (forall @t7 (= (tptp.addition @t1 tptp.zero) @t1))) % 0.39/0.62 (assume @p4 @t9) % 0.39/0.62 (assume @p5 (forall @t12 (= (tptp.multiplication @t1 @t11) (tptp.multiplication @t10 @t5)))) % 0.39/0.62 (assume @p6 (forall @t7 (= (tptp.multiplication @t1 tptp.one) @t1))) % 0.39/0.62 (assume @p7 @t14) % 0.39/0.62 (assume @p8 (forall @t12 (= (tptp.multiplication @t1 @t6) (tptp.addition @t10 @t15)))) % 0.39/0.62 (assume @p9 @t16) % 0.39/0.62 (assume @p10 (forall @t7 (= (tptp.multiplication @t1 tptp.zero) tptp.zero))) % 0.39/0.62 (assume @p11 (forall @t7 (= (tptp.multiplication tptp.zero @t1) tptp.zero))) % 0.39/0.62 (assume @p12 @t19) % 0.39/0.62 (assume @p13 @t28) % 0.39/0.62 (assume @p14 @t35) % 0.39/0.62 (assume @p15 @t40) % 0.39/0.62 (assume @p16 (forall @t27 (=> @t41 (= @t37 tptp.zero)))) % 0.39/0.62 (assume @p17 @t46) % 0.39/0.62 (assume @p18 true) % 0.39/0.62 (step @p19 :rule bool-impl-elim :args (@t44 @t43)) % 0.39/0.62 (step @p20 :rule cong :premises (@p19) :args (@t45)) % 0.39/0.62 (step @p21 :rule cong :premises (@p20) :args (@t46)) % 0.39/0.62 (step @p22 :rule eq_resolve :premises (@p17 @p21)) % 0.39/0.62 (step @p23 :rule skolemize :premises (@p22)) % 0.39/0.62 (step @p24 :rule cnf_or_neg :args (@t57 1)) % 0.39/0.62 (step @p25 :rule chain_m_resolution :premises (@p24 @p23) :args ((not @t54) @t58 @t59)) % 0.39/0.62 (step @p26 :rule eq-symm :args (@t3 @t2)) % 0.39/0.62 (step @p27 :rule refl :args (@t17)) % 0.39/0.62 (step @p28 :rule cong :premises (@p27 @p26) :args (@t18)) % 0.39/0.62 (step @p29 :rule cong :premises (@p28) :args (@t19)) % 0.39/0.62 (step @p30 :rule eq_resolve :premises (@p12 @p29)) % 0.39/0.62 (step @p31 :rule eq-symm :args (@t60 @t62)) % 0.39/0.62 (step @p32 :rule refl :args (@t63)) % 0.39/0.62 (step @p33 :rule cong :premises (@p32 @p31) :args ((=> @t63 @t64))) % 0.39/0.62 (assume-push @p177 @t63) % 0.39/0.62 (step @p35 :rule instantiate :premises (@p30) :args ((@list @t48 @t48))) % 0.39/0.62 (step-pop @p178 :rule scope :premises (@p35)) % 0.39/0.62 (step @p36 :rule process_scope :premises (@p178) :args (@t64)) % 0.39/0.62 (step @p38 :rule eq_resolve :premises (@p36 @p33)) % 0.39/0.62 (step @p39 :rule implies_elim :premises (@p38)) % 0.39/0.62 (step @p40 :rule chain_m_resolution :premises (@p39 @p30) :args (@t65 @t66 (@list @t63))) % 0.39/0.62 (step @p41 :rule eq-symm :args (@t8 @t1)) % 0.39/0.62 (step @p42 :rule cong :premises (@p41) :args (@t9)) % 0.39/0.62 (step @p43 :rule eq_resolve :premises (@p4 @p42)) % 0.39/0.62 (step @p44 :rule instantiate :premises (@p43) :args (@t67)) % 0.39/0.62 (step @p45 :rule cnf_equiv_pos1 :args (@t65)) % 0.39/0.62 (step @p46 :rule reordering :premises (@p45) :args ((or @t60 (not @t62) (not @t65)))) % 0.39/0.62 (step @p47 :rule chain_m_resolution :premises (@p46 @p44 @p40) :args (@t60 @t68 (@list @t62 @t65))) % 0.39/0.62 (step @p48 :rule true_intro :premises (@p47)) % 0.39/0.62 (step @p49 :rule eq-symm :args (@t13 @t1)) % 0.39/0.62 (step @p50 :rule cong :premises (@p49) :args (@t14)) % 0.39/0.62 (step @p51 :rule eq_resolve :premises (@p7 @p50)) % 0.39/0.62 (step @p52 :rule instantiate :premises (@p51) :args (@t67)) % 0.39/0.62 (step @p53 :rule symm :premises (@p52)) % 0.39/0.62 (step @p54 :rule symm :premises (@p44)) % 0.39/0.62 (step @p55 :rule refl :args (tptp.one)) % 0.39/0.62 (step @p56 :rule cong :premises (@p55 @p54) :args ((tptp.multiplication tptp.one @t61))) % 0.39/0.62 (step @p57 :rule eq-symm :args (@t29 tptp.one)) % 0.39/0.62 (step @p58 :rule eq-symm :args (@t30 tptp.zero)) % 0.39/0.62 (step @p59 :rule eq-symm :args (@t31 tptp.zero)) % 0.39/0.62 (step @p60 :rule nary_cong :premises (@p59 @p58 @p57) :args (@t32)) % 0.39/0.62 (step @p61 :rule refl :args (@t22)) % 0.39/0.62 (step @p62 :rule cong :premises (@p61 @p60) :args (@t33)) % 0.39/0.62 (step @p63 :rule cong :premises (@p62) :args (@t35)) % 0.39/0.62 (step @p64 :rule eq_resolve :premises (@p14 @p63)) % 0.39/0.62 (step @p65 :rule instantiate :premises (@p64) :args (@t71)) % 0.39/0.62 (step @p66 :rule exists-elim :args ((= @t24 (not (forall @t23 (not @t22)))))) % 0.39/0.62 (step @p67 :rule refl :args (@t25)) % 0.39/0.62 (step @p68 :rule cong :premises (@p67 @p66) :args (@t26)) % 0.39/0.62 (step @p69 :rule cong :premises (@p68) :args (@t28)) % 0.39/0.62 (step @p70 :rule eq_resolve :premises (@p13 @p69)) % 0.39/0.62 (step @p71 :rule instantiate :premises (@p70) :args ((@list @t49))) % 0.39/0.62 (step @p72 :rule bool-double-not-elim :args (@t55)) % 0.39/0.62 (step @p73 :rule refl :args (@t57)) % 0.39/0.62 (step @p74 :rule nary_cong :premises (@p73 @p72) :args ((or @t57 (not @t56)))) % 0.39/0.62 (step @p75 :rule cnf_or_neg :args (@t57 0)) % 0.39/0.62 (step @p76 :rule eq_resolve :premises (@p75 @p74)) % 0.39/0.62 (step @p77 :rule reordering :premises (@p76) :args ((or @t55 @t57))) % 0.39/0.62 (step @p78 :rule chain_m_resolution :premises (@p77 @p23) :args (@t55 @t58 @t59)) % 0.39/0.62 (step @p79 :rule cnf_equiv_pos1 :args (@t73)) % 0.39/0.62 (step @p80 :rule reordering :premises (@p79) :args ((or @t56 @t72 (not @t73)))) % 0.39/0.62 (step @p81 :rule chain_m_resolution :premises (@p80 @p78 @p71) :args (@t72 @t68 (@list @t55 @t73))) % 0.39/0.62 (step @p82 :rule refl :args (@t74)) % 0.39/0.62 (step @p83 :rule bool-double-not-elim :args (@t69)) % 0.39/0.62 (step @p84 :rule nary_cong :premises (@p83 @p82) :args ((or (not @t72) @t74))) % 0.39/0.62 (step @p85 :rule bool-double-not-elim :args (@t74)) % 0.39/0.62 (step @p86 :rule refl :args (@t72)) % 0.39/0.62 (step @p87 :rule cong :premises (@p86 @p85) :args ((=> @t72 @t76))) % 0.39/0.62 (assume-push @p179 @t72) % 0.39/0.62 (step @p89 :rule skolemize :premises (@p81)) % 0.39/0.62 (step-pop @p180 :rule scope :premises (@p89)) % 0.39/0.62 (step @p90 :rule process_scope :premises (@p180) :args (@t76)) % 0.39/0.62 (step @p92 :rule eq_resolve :premises (@p90 @p87)) % 0.39/0.62 (step @p93 :rule implies_elim :premises (@p92)) % 0.39/0.62 (step @p94 :rule eq_resolve :premises (@p93 @p84)) % 0.39/0.62 (step @p95 :rule chain_m_resolution :premises (@p94 @p81) :args (@t74 @t58 (@list @t69))) % 0.39/0.62 (step @p96 :rule cnf_equiv_pos1 :args (@t81)) % 0.39/0.62 (step @p97 :rule reordering :premises (@p96) :args ((or @t75 @t80 (not @t81)))) % 0.39/0.62 (step @p98 :rule chain_m_resolution :premises (@p97 @p95 @p65) :args (@t80 @t68 (@list @t74 @t81))) % 0.39/0.62 (step @p99 :rule cnf_and_pos :args (@t80 2)) % 0.39/0.62 (step @p100 :rule reordering :premises (@p99) :args ((or @t77 @t82))) % 0.39/0.62 (step @p101 :rule chain_m_resolution :premises (@p100 @p98) :args (@t77 @t66 @t83)) % 0.39/0.62 (step @p102 :rule symm :premises (@p101)) % 0.39/0.62 (step @p103 :rule bool-impl-elim :args (@t25 @t85)) % 0.39/0.62 (step @p104 :rule cong :premises (@p103) :args ((forall @t34 (=> @t25 @t85)))) % 0.39/0.62 (step @p105 :rule eq-symm :args (@t84 @t36)) % 0.39/0.62 (step @p106 :rule refl :args (@t36)) % 0.39/0.62 (step @p107 :rule eq-symm :args (@t37 @t21)) % 0.39/0.62 (step @p108 :rule cong :premises (@p107 @p106) :args (@t38)) % 0.39/0.62 (step @p109 :rule trans :premises (@p108 @p105)) % 0.39/0.62 (step @p110 :rule cong :premises (@p67 @p109) :args (@t39)) % 0.39/0.62 (step @p111 :rule cong :premises (@p110) :args (@t40)) % 0.39/0.62 (step @p112 :rule trans :premises (@p111 @p104)) % 0.39/0.62 (step @p113 :rule eq_resolve :premises (@p15 @p112)) % 0.39/0.62 (step @p114 :rule eq-symm :args (@t70 @t50)) % 0.39/0.62 (step @p115 :rule refl :args (@t86)) % 0.39/0.62 (step @p116 :rule cong :premises (@p115 @p114) :args (@t87)) % 0.39/0.62 (step @p117 :rule refl :args (@t56)) % 0.39/0.62 (step @p118 :rule nary_cong :premises (@p117 @p116) :args (@t88)) % 0.39/0.62 (step @p119 :rule refl :args (@t89)) % 0.39/0.62 (step @p120 :rule cong :premises (@p119 @p118) :args ((=> @t89 @t88))) % 0.39/0.62 (assume-push @p181 @t89) % 0.39/0.62 (step @p122 :rule instantiate :premises (@p113) :args (@t71)) % 0.39/0.62 (step-pop @p182 :rule scope :premises (@p122)) % 0.39/0.62 (step @p123 :rule process_scope :premises (@p182) :args (@t88)) % 0.39/0.62 (step @p125 :rule eq_resolve :premises (@p123 @p120)) % 0.39/0.62 (step @p126 :rule implies_elim :premises (@p125)) % 0.39/0.62 (step @p127 :rule chain_m_resolution :premises (@p126 @p113) :args (@t92 @t66 (@list @t89))) % 0.39/0.62 (step @p128 :rule cnf_or_pos :args (@t92)) % 0.39/0.62 (step @p129 :rule reordering :premises (@p128) :args ((or @t56 @t91 (not @t92)))) % 0.39/0.62 (step @p130 :rule chain_m_resolution :premises (@p129 @p78 @p127) :args (@t91 @t68 (@list @t55 @t92))) % 0.39/0.62 (step @p131 :rule instantiate :premises (@p64) :args ((@list @t70 @t49))) % 0.39/0.62 (step @p132 :rule instantiate :premises (@p1) :args (@t71)) % 0.39/0.62 (step @p133 :rule trans :premises (@p101 @p132)) % 0.39/0.62 (step @p134 :rule cnf_and_pos :args (@t80 1)) % 0.39/0.62 (step @p135 :rule reordering :premises (@p134) :args ((or @t78 @t82))) % 0.39/0.62 (step @p136 :rule chain_m_resolution :premises (@p135 @p98) :args (@t78 @t66 @t83)) % 0.39/0.62 (step @p137 :rule cnf_and_pos :args (@t80 0)) % 0.39/0.62 (step @p138 :rule reordering :premises (@p137) :args ((or @t79 @t82))) % 0.39/0.62 (step @p139 :rule chain_m_resolution :premises (@p138 @p98) :args (@t79 @t66 @t83)) % 0.39/0.62 (step @p140 :rule cnf_and_neg :args (@t94)) % 0.39/0.62 (step @p141 :rule reordering :premises (@p140) :args ((or (not @t79) (not @t78) @t94 (not @t93)))) % 0.39/0.62 (step @p142 :rule chain_m_resolution :premises (@p141 @p139 @p136 @p133) :args (@t94 (@list false false false) (@list @t79 @t78 @t93))) % 0.39/0.62 (step @p143 :rule cnf_equiv_pos2 :args (@t95)) % 0.39/0.62 (step @p144 :rule reordering :premises (@p143) :args ((or @t86 (not @t94) (not @t95)))) % 0.39/0.62 (step @p145 :rule chain_m_resolution :premises (@p144 @p142 @p131) :args (@t86 @t68 (@list @t94 @t95))) % 0.39/0.62 (step @p146 :rule cnf_equiv_pos1 :args (@t91)) % 0.39/0.62 (step @p147 :rule reordering :premises (@p146) :args ((or (not @t86) @t90 (not @t91)))) % 0.39/0.62 (step @p148 :rule chain_m_resolution :premises (@p147 @p145 @p130) :args (@t90 @t68 (@list @t86 @t91))) % 0.39/0.62 (step @p149 :rule refl :args (@t49)) % 0.39/0.62 (step @p150 :rule cong :premises (@p149 @p148) :args (@t96)) % 0.39/0.62 (step @p151 :rule trans :premises (@p150 @p102)) % 0.39/0.62 (step @p152 :rule instantiate :premises (@p1) :args ((@list @t49 @t50))) % 0.39/0.62 (step @p153 :rule symm :premises (@p152)) % 0.39/0.62 (step @p154 :rule trans :premises (@p153 @p151)) % 0.39/0.62 (step @p155 :rule cong :premises (@p154 @p44) :args ((tptp.multiplication (tptp.addition @t50 @t49) @t48))) % 0.39/0.62 (step @p156 :rule refl :args (@t48)) % 0.39/0.62 (step @p157 :rule cong :premises (@p152 @p156) :args (@t97)) % 0.39/0.62 (step @p158 :rule eq-symm :args (@t97 @t51)) % 0.39/0.62 (step @p159 :rule refl :args (@t16)) % 0.39/0.62 (step @p160 :rule cong :premises (@p159 @p158) :args ((=> @t16 @t98))) % 0.39/0.62 (assume-push @p183 @t16) % 0.39/0.62 (step @p162 :rule instantiate :premises (@p9) :args ((@list @t49 @t50 @t48))) % 0.39/0.62 (step-pop @p184 :rule scope :premises (@p162)) % 0.39/0.62 (step @p163 :rule process_scope :premises (@p184) :args (@t98)) % 0.39/0.62 (step @p165 :rule eq_resolve :premises (@p163 @p160)) % 0.39/0.62 (step @p166 :rule implies_elim :premises (@p165)) % 0.39/0.62 (step @p167 :rule chain_m_resolution :premises (@p166 @p9) :args ((= @t51 @t97) @t66 (@list @t16))) % 0.39/0.62 (step @p168 :rule trans :premises (@p167 @p157 @p155 @p56 @p53)) % 0.39/0.62 (step @p169 :rule cong :premises (@p156 @p168) :args (@t53)) % 0.39/0.62 (step @p170 :rule trans :premises (@p169 @p48)) % 0.39/0.62 (step @p171 :rule true_elim :premises (@p170)) % 0.39/0.62 (step @p172 :rule cong :premises (@p168 @p156) :args (@t52)) % 0.39/0.62 (step @p173 :rule trans :premises (@p172 @p48)) % 0.39/0.62 (step @p174 :rule true_elim :premises (@p173)) % 0.39/0.62 (step @p175 :rule cnf_and_neg :args (@t54)) % 0.39/0.62 (step @p176 false :rule chain_m_resolution :premises (@p175 @p174 @p171 @p25) :args (false (@list false false true) (@list @t52 @t53 @t54))) % 0.39/0.62 ) % 0.39/0.62 % SZS output end Proof % 0.39/0.62 % cvc5 exiting %------------------------------------------------------------------------------