%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : KLE144+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 : n023.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 08:28:23 AM UTC 2026 % Result : Theorem 33.90s 34.94s % Output : Proof 33.90s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : KLE144+1 : TPTP v9.2.1. Released v4.0.0. % 0.11/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n023.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 05:20:58 EDT 2026 % 0.17/0.35 % CPUTime : % 0.28/0.51 %----Proving TF0_NAR, FOF, or CNF % 33.90/34.94 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 33.90/34.94 --- Run --no-e-matching --full-saturate-quant at 6... % 33.90/34.94 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 33.90/34.94 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 33.90/34.94 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 33.90/34.94 % SZS status Theorem % 33.90/34.94 % SZS output start Proof % 33.90/34.94 ( % 33.90/34.94 (declare-sort $$unsorted 0) % 33.90/34.94 (declare-const tptp.strong_iteration (-> $$unsorted $$unsorted)) % 33.90/34.94 (declare-const tptp.star (-> $$unsorted $$unsorted)) % 33.90/34.94 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 33.90/34.94 (declare-const tptp.multiplication (-> $$unsorted $$unsorted $$unsorted)) % 33.90/34.94 (declare-const tptp.zero $$unsorted) % 33.90/34.94 (declare-const tptp.one $$unsorted) % 33.90/34.94 (declare-const tptp.addition (-> $$unsorted $$unsorted $$unsorted)) % 33.90/34.94 (define @t1 () (@var "A" $$unsorted)) % 33.90/34.94 (define @t2 () (@var "B" $$unsorted)) % 33.90/34.94 (define @t3 () (tptp.addition @t1 @t2)) % 33.90/34.94 (define @t4 () (@list @t1 @t2)) % 33.90/34.94 (define @t5 () (@var "C" $$unsorted)) % 33.90/34.94 (define @t6 () (tptp.addition @t2 @t5)) % 33.90/34.94 (define @t7 () (@list @t1)) % 33.90/34.94 (define @t8 () (tptp.addition @t1 @t1)) % 33.90/34.94 (define @t9 () (forall @t7 (= @t8 @t1))) % 33.90/34.94 (define @t10 () (tptp.multiplication @t1 @t2)) % 33.90/34.94 (define @t11 () (tptp.multiplication @t2 @t5)) % 33.90/34.94 (define @t12 () (@list @t1 @t2 @t5)) % 33.90/34.94 (define @t13 () (tptp.multiplication @t1 tptp.one)) % 33.90/34.94 (define @t14 () (forall @t7 (= @t13 @t1))) % 33.90/34.94 (define @t15 () (tptp.multiplication tptp.one @t1)) % 33.90/34.94 (define @t16 () (forall @t7 (= @t15 @t1))) % 33.90/34.94 (define @t17 () (tptp.multiplication @t1 @t5)) % 33.90/34.94 (define @t18 () (tptp.star @t1)) % 33.90/34.94 (define @t19 () (tptp.addition tptp.one (tptp.multiplication @t1 @t18))) % 33.90/34.94 (define @t20 () (forall @t7 (= @t19 @t18))) % 33.90/34.94 (define @t21 () (tptp.addition tptp.one (tptp.multiplication @t18 @t1))) % 33.90/34.94 (define @t22 () (forall @t7 (= @t21 @t18))) % 33.90/34.94 (define @t23 () (tptp.addition @t17 @t2)) % 33.90/34.94 (define @t24 () (tptp.leq (tptp.multiplication @t2 @t18) @t5)) % 33.90/34.94 (define @t25 () (tptp.leq (tptp.addition (tptp.multiplication @t5 @t1) @t2) @t5)) % 33.90/34.94 (define @t26 () (forall @t12 (=> @t25 @t24))) % 33.90/34.94 (define @t27 () (tptp.strong_iteration @t1)) % 33.90/34.94 (define @t28 () (tptp.leq @t5 (tptp.multiplication @t27 @t2))) % 33.90/34.94 (define @t29 () (tptp.leq @t5 @t23)) % 33.90/34.94 (define @t30 () (forall @t12 (=> @t29 @t28))) % 33.90/34.94 (define @t31 () (tptp.leq @t1 @t2)) % 33.90/34.94 (define @t32 () (= @t31 (= @t3 @t2))) % 33.90/34.94 (define @t33 () (forall @t4 @t32)) % 33.90/34.94 (define @t34 () (tptp.strong_iteration tptp.one)) % 33.90/34.94 (define @t35 () (@var "X0" $$unsorted)) % 33.90/34.94 (define @t36 () (forall (@list @t35) (= (tptp.strong_iteration (tptp.star @t35)) @t34))) % 33.90/34.94 (define @t37 () (not @t36)) % 33.90/34.94 (define @t38 () (@quantifiers_skolemize @t36 0)) % 33.90/34.94 (define @t39 () (tptp.star @t38)) % 33.90/34.94 (define @t40 () (tptp.strong_iteration @t39)) % 33.90/34.94 (define @t41 () (tptp.multiplication @t39 @t40)) % 33.90/34.94 (define @t42 () (tptp.addition @t41 tptp.one)) % 33.90/34.94 (define @t43 () (tptp.multiplication tptp.one @t34)) % 33.90/34.94 (define @t44 () (tptp.star @t39)) % 33.90/34.94 (define @t45 () (tptp.multiplication @t40 tptp.zero)) % 33.90/34.94 (define @t46 () (tptp.addition @t45 @t44)) % 33.90/34.94 (define @t47 () (not (= @t34 @t40))) % 33.90/34.94 (define @t48 () (not (= @t40 @t34))) % 33.90/34.94 (define @t49 () (@list @t39)) % 33.90/34.94 (define @t50 () (@list @t38)) % 33.90/34.94 (define @t51 () (tptp.multiplication @t39 @t38)) % 33.90/34.94 (define @t52 () (tptp.multiplication @t51 @t40)) % 33.90/34.94 (define @t53 () (tptp.multiplication tptp.one @t40)) % 33.90/34.94 (define @t54 () (tptp.addition @t53 @t52)) % 33.90/34.94 (define @t55 () (@list @t40)) % 33.90/34.94 (define @t56 () (@list tptp.one)) % 33.90/34.94 (define @t57 () (tptp.multiplication tptp.one tptp.one)) % 33.90/34.94 (define @t58 () (tptp.addition @t57 tptp.one)) % 33.90/34.94 (define @t59 () (tptp.addition tptp.one tptp.one)) % 33.90/34.94 (define @t60 () (tptp.star tptp.one)) % 33.90/34.94 (define @t61 () (tptp.multiplication tptp.one @t60)) % 33.90/34.94 (define @t62 () (= tptp.one (tptp.addition @t58 tptp.one))) % 33.90/34.94 (define @t63 () (tptp.leq @t58 tptp.one)) % 33.90/34.94 (define @t64 () (= @t63 @t62)) % 33.90/34.94 (define @t65 () (@list false false)) % 33.90/34.94 (define @t66 () (tptp.leq @t61 tptp.one)) % 33.90/34.94 (define @t67 () (not @t63)) % 33.90/34.94 (define @t68 () (or @t67 @t66)) % 33.90/34.94 (define @t69 () (= tptp.one (tptp.addition @t61 tptp.one))) % 33.90/34.94 (define @t70 () (= @t66 @t69)) % 33.90/34.94 (define @t71 () (tptp.multiplication @t44 @t39)) % 33.90/34.94 (define @t72 () (tptp.addition @t71 tptp.one)) % 33.90/34.94 (define @t73 () (tptp.addition @t43 tptp.one)) % 33.90/34.94 (define @t74 () (tptp.multiplication @t39 @t73)) % 33.90/34.94 (define @t75 () (tptp.addition @t74 tptp.one)) % 33.90/34.94 (define @t76 () (tptp.multiplication @t38 @t39)) % 33.90/34.94 (define @t77 () (tptp.addition (tptp.multiplication @t38 tptp.one) (tptp.multiplication @t38 @t51))) % 33.90/34.94 (define @t78 () (tptp.addition tptp.one @t61)) % 33.90/34.94 (define @t79 () (tptp.addition @t57 @t76)) % 33.90/34.94 (define @t80 () (tptp.addition @t79 tptp.one)) % 33.90/34.94 (define @t81 () (@list @t34)) % 33.90/34.94 (define @t82 () (tptp.addition @t74 @t34)) % 33.90/34.94 (define @t83 () (tptp.addition @t74 @t43)) % 33.90/34.94 (define @t84 () (= @t75 (tptp.addition @t73 @t75))) % 33.90/34.94 (define @t85 () (tptp.leq @t73 @t75)) % 33.90/34.94 (define @t86 () (= @t85 @t84)) % 33.90/34.94 (define @t87 () (tptp.leq @t73 (tptp.multiplication @t40 tptp.one))) % 33.90/34.94 (define @t88 () (not @t85)) % 33.90/34.94 (define @t89 () (or @t88 @t87)) % 33.90/34.94 (define @t90 () (tptp.leq @t73 @t41)) % 33.90/34.94 (define @t91 () (= @t41 (tptp.addition @t73 @t41))) % 33.90/34.94 (define @t92 () (= @t90 @t91)) % 33.90/34.94 (define @t93 () (tptp.addition @t46 @t43)) % 33.90/34.94 (define @t94 () (= @t43 @t93)) % 33.90/34.94 (define @t95 () (tptp.leq @t46 @t43)) % 33.90/34.94 (define @t96 () (= @t95 @t94)) % 33.90/34.94 (define @t97 () (not @t95)) % 33.90/34.94 (define @t98 () (tptp.multiplication @t60 @t40)) % 33.90/34.94 (define @t99 () (tptp.leq @t42 (tptp.multiplication @t34 tptp.one))) % 33.90/34.94 (define @t100 () (= @t40 (tptp.addition @t42 @t40))) % 33.90/34.94 (define @t101 () (tptp.leq @t42 @t40)) % 33.90/34.94 (define @t102 () (= @t101 @t100)) % 33.90/34.94 (define @t103 () (tptp.addition @t44 @t61)) % 33.90/34.94 (define @t104 () (tptp.multiplication tptp.one @t42)) % 33.90/34.94 (define @t105 () (tptp.addition @t104 tptp.one)) % 33.90/34.94 (define @t106 () (tptp.leq @t42 @t105)) % 33.90/34.94 (define @t107 () (not @t106)) % 33.90/34.94 (define @t108 () (or @t107 @t99)) % 33.90/34.94 (assume @p1 (forall @t4 (= @t3 (tptp.addition @t2 @t1)))) % 33.90/34.94 (assume @p2 (forall (@list @t5 @t2 @t1) (= (tptp.addition @t1 @t6) (tptp.addition @t3 @t5)))) % 33.90/34.94 (assume @p3 (forall @t7 (= (tptp.addition @t1 tptp.zero) @t1))) % 33.90/34.94 (assume @p4 @t9) % 33.90/34.94 (assume @p5 (forall @t12 (= (tptp.multiplication @t1 @t11) (tptp.multiplication @t10 @t5)))) % 33.90/34.94 (assume @p6 @t14) % 33.90/34.94 (assume @p7 @t16) % 33.90/34.94 (assume @p8 (forall @t12 (= (tptp.multiplication @t1 @t6) (tptp.addition @t10 @t17)))) % 33.90/34.94 (assume @p9 (forall @t12 (= (tptp.multiplication @t3 @t5) (tptp.addition @t17 @t11)))) % 33.90/34.94 (assume @p10 (forall @t7 (= (tptp.multiplication tptp.zero @t1) tptp.zero))) % 33.90/34.94 (assume @p11 @t20) % 33.90/34.94 (assume @p12 @t22) % 33.90/34.94 (assume @p13 (forall @t12 (=> (tptp.leq @t23 @t5) (tptp.leq (tptp.multiplication @t18 @t2) @t5)))) % 33.90/34.94 (assume @p14 @t26) % 33.90/34.94 (assume @p15 (forall @t7 (= @t27 (tptp.addition (tptp.multiplication @t1 @t27) tptp.one)))) % 33.90/34.94 (assume @p16 @t30) % 33.90/34.94 (assume @p17 (forall @t7 (= @t27 (tptp.addition @t18 (tptp.multiplication @t27 tptp.zero))))) % 33.90/34.94 (assume @p18 @t33) % 33.90/34.94 (assume @p19 @t37) % 33.90/34.94 (assume @p20 true) % 33.90/34.94 (step @p21 :rule bool-impl-elim :args (@t29 @t28)) % 33.90/34.94 (step @p22 :rule cong :premises (@p21) :args (@t30)) % 33.90/34.94 (step @p23 :rule eq_resolve :premises (@p16 @p22)) % 33.90/34.94 (step @p24 :rule instantiate :premises (@p23) :args ((@list tptp.one tptp.one @t42))) % 33.90/34.94 (step @p25 :rule eq-symm :args (@t3 @t2)) % 33.90/34.94 (step @p26 :rule refl :args (@t31)) % 33.90/34.94 (step @p27 :rule cong :premises (@p26 @p25) :args (@t32)) % 33.90/34.94 (step @p28 :rule cong :premises (@p27) :args (@t33)) % 33.90/34.94 (step @p29 :rule eq_resolve :premises (@p18 @p28)) % 33.90/34.94 (step @p30 :rule instantiate :premises (@p29) :args ((@list @t46 @t43))) % 33.90/34.94 (step @p31 :rule refl :args (@t47)) % 33.90/34.94 (step @p32 :rule bool-double-not-elim :args (@t36)) % 33.90/34.94 (step @p33 :rule nary_cong :premises (@p32 @p31) :args ((or (not @t37) @t47))) % 33.90/34.94 (step @p34 :rule eq-symm :args (@t40 @t34)) % 33.90/34.94 (step @p35 :rule cong :premises (@p34) :args (@t48)) % 33.90/34.94 (step @p36 :rule refl :args (@t37)) % 33.90/34.94 (step @p37 :rule cong :premises (@p36 @p35) :args ((=> @t37 @t48))) % 33.90/34.94 (assume-push @p281 @t37) % 33.90/34.94 (step @p39 :rule skolemize :premises (@p19)) % 33.90/34.94 (step-pop @p282 :rule scope :premises (@p39)) % 33.90/34.94 (step @p40 :rule process_scope :premises (@p282) :args (@t48)) % 33.90/34.94 (step @p42 :rule eq_resolve :premises (@p40 @p37)) % 33.90/34.94 (step @p43 :rule implies_elim :premises (@p42)) % 33.90/34.94 (step @p44 :rule eq_resolve :premises (@p43 @p33)) % 33.90/34.94 (step @p45 :rule chain_m_resolution :premises (@p44 @p19) :args (@t47 (@list true) (@list @t36))) % 33.90/34.94 (step @p46 :rule false_intro :premises (@p45)) % 33.90/34.94 (step @p47 :rule instantiate :premises (@p15) :args (@t49)) % 33.90/34.94 (step @p48 :rule symm :premises (@p47)) % 33.90/34.94 (step @p49 :rule instantiate :premises (@p1) :args ((@list @t41 tptp.one))) % 33.90/34.94 (step @p50 :rule symm :premises (@p49)) % 33.90/34.94 (step @p51 :rule refl :args (@t40)) % 33.90/34.94 (step @p52 :rule eq-symm :args (@t21 @t18)) % 33.90/34.94 (step @p53 :rule cong :premises (@p52) :args (@t22)) % 33.90/34.94 (step @p54 :rule eq_resolve :premises (@p12 @p53)) % 33.90/34.94 (step @p55 :rule instantiate :premises (@p54) :args (@t50)) % 33.90/34.94 (step @p56 :rule symm :premises (@p55)) % 33.90/34.94 (step @p57 :rule cong :premises (@p56 @p51) :args ((tptp.multiplication (tptp.addition tptp.one @t51) @t40))) % 33.90/34.94 (step @p58 :rule instantiate :premises (@p9) :args ((@list tptp.one @t51 @t40))) % 33.90/34.94 (step @p59 :rule symm :premises (@p58)) % 33.90/34.94 (step @p60 :rule trans :premises (@p59 @p57)) % 33.90/34.94 (step @p61 :rule refl :args (tptp.one)) % 33.90/34.94 (step @p62 :rule cong :premises (@p61 @p60) :args ((tptp.addition tptp.one @t54))) % 33.90/34.94 (step @p63 :rule instantiate :premises (@p2) :args ((@list @t52 @t53 tptp.one))) % 33.90/34.94 (step @p64 :rule symm :premises (@p63)) % 33.90/34.94 (step @p65 :rule refl :args (@t52)) % 33.90/34.94 (step @p66 :rule eq-symm :args (@t15 @t1)) % 33.90/34.94 (step @p67 :rule cong :premises (@p66) :args (@t16)) % 33.90/34.94 (step @p68 :rule eq_resolve :premises (@p7 @p67)) % 33.90/34.94 (step @p69 :rule instantiate :premises (@p68) :args (@t55)) % 33.90/34.94 (step @p70 :rule instantiate :premises (@p17) :args (@t49)) % 33.90/34.94 (step @p71 :rule symm :premises (@p70)) % 33.90/34.94 (step @p72 :rule instantiate :premises (@p1) :args ((@list @t44 @t45))) % 33.90/34.94 (step @p73 :rule symm :premises (@p72)) % 33.90/34.94 (step @p74 :rule trans :premises (@p73 @p71 @p69)) % 33.90/34.94 (step @p75 :rule instantiate :premises (@p68) :args (@t56)) % 33.90/34.94 (step @p76 :rule symm :premises (@p75)) % 33.90/34.94 (step @p77 :rule eq-symm :args (@t8 @t1)) % 33.90/34.94 (step @p78 :rule cong :premises (@p77) :args (@t9)) % 33.90/34.94 (step @p79 :rule eq_resolve :premises (@p4 @p78)) % 33.90/34.94 (step @p80 :rule instantiate :premises (@p79) :args ((@list @t57))) % 33.90/34.94 (step @p81 :rule symm :premises (@p80)) % 33.90/34.94 (step @p82 :rule refl :args (@t57)) % 33.90/34.94 (step @p83 :rule cong :premises (@p82 @p75) :args (@t58)) % 33.90/34.94 (step @p84 :rule cong :premises (@p75 @p61) :args (@t59)) % 33.90/34.94 (step @p85 :rule trans :premises (@p84 @p83 @p81 @p76)) % 33.90/34.94 (step @p86 :rule symm :premises (@p84)) % 33.90/34.94 (step @p87 :rule cong :premises (@p82 @p76) :args ((tptp.addition @t57 @t57))) % 33.90/34.94 (step @p88 :rule instantiate :premises (@p29) :args ((@list @t61 tptp.one))) % 33.90/34.94 (step @p89 :rule bool-impl-elim :args (@t25 @t24)) % 33.90/34.94 (step @p90 :rule cong :premises (@p89) :args (@t26)) % 33.90/34.94 (step @p91 :rule eq_resolve :premises (@p14 @p90)) % 33.90/34.94 (step @p92 :rule instantiate :premises (@p91) :args ((@list tptp.one tptp.one tptp.one))) % 33.90/34.94 (step @p93 :rule instantiate :premises (@p29) :args ((@list @t58 tptp.one))) % 33.90/34.94 (step @p94 :rule trans :premises (@p75 @p80 @p87 @p86)) % 33.90/34.94 (step @p95 :rule trans :premises (@p94 @p84)) % 33.90/34.94 (step @p96 :rule cong :premises (@p95 @p61) :args (@t59)) % 33.90/34.94 (step @p97 :rule trans :premises (@p75 @p80 @p87 @p86 @p96)) % 33.90/34.94 (step @p98 :rule cnf_equiv_pos2 :args (@t64)) % 33.90/34.94 (step @p99 :rule reordering :premises (@p98) :args ((or @t63 (not @t62) (not @t64)))) % 33.90/34.94 (step @p100 :rule chain_m_resolution :premises (@p99 @p97 @p93) :args (@t63 @t65 (@list @t62 @t64))) % 33.90/34.94 (step @p101 :rule cnf_or_pos :args (@t68)) % 33.90/34.94 (step @p102 :rule reordering :premises (@p101) :args ((or @t67 @t66 (not @t68)))) % 33.90/34.94 (step @p103 :rule chain_m_resolution :premises (@p102 @p100 @p92) :args (@t66 @t65 (@list @t63 @t68))) % 33.90/34.94 (step @p104 :rule cnf_equiv_pos1 :args (@t70)) % 33.90/34.94 (step @p105 :rule reordering :premises (@p104) :args ((or (not @t66) @t69 (not @t70)))) % 33.90/34.94 (step @p106 :rule chain_m_resolution :premises (@p105 @p103 @p88) :args (@t69 @t65 (@list @t66 @t70))) % 33.90/34.94 (step @p107 :rule symm :premises (@p106)) % 33.90/34.94 (step @p108 :rule instantiate :premises (@p1) :args ((@list tptp.one @t61))) % 33.90/34.94 (step @p109 :rule eq-symm :args (@t19 @t18)) % 33.90/34.94 (step @p110 :rule cong :premises (@p109) :args (@t20)) % 33.90/34.94 (step @p111 :rule eq_resolve :premises (@p11 @p110)) % 33.90/34.94 (step @p112 :rule instantiate :premises (@p111) :args (@t56)) % 33.90/34.94 (step @p113 :rule trans :premises (@p112 @p108 @p107 @p75 @p80 @p87 @p86)) % 33.90/34.94 (step @p114 :rule instantiate :premises (@p68) :args ((@list @t60))) % 33.90/34.94 (step @p115 :rule symm :premises (@p114)) % 33.90/34.94 (step @p116 :rule trans :premises (@p115 @p113 @p85)) % 33.90/34.94 (step @p117 :rule cong :premises (@p116 @p74) :args ((tptp.addition @t61 @t46))) % 33.90/34.94 (step @p118 :rule instantiate :premises (@p1) :args ((@list @t46 @t61))) % 33.90/34.94 (step @p119 :rule instantiate :premises (@p2) :args ((@list @t61 @t44 @t45))) % 33.90/34.94 (step @p120 :rule refl :args (@t61)) % 33.90/34.94 (step @p121 :rule instantiate :premises (@p54) :args (@t49)) % 33.90/34.94 (step @p122 :rule symm :premises (@p121)) % 33.90/34.94 (step @p123 :rule instantiate :premises (@p1) :args ((@list tptp.one @t71))) % 33.90/34.94 (step @p124 :rule symm :premises (@p123)) % 33.90/34.94 (step @p125 :rule trans :premises (@p124 @p122)) % 33.90/34.94 (step @p126 :rule cong :premises (@p125 @p120) :args ((tptp.addition @t72 @t61))) % 33.90/34.94 (step @p127 :rule instantiate :premises (@p2) :args ((@list @t61 tptp.one @t71))) % 33.90/34.94 (step @p128 :rule symm :premises (@p108)) % 33.90/34.94 (step @p129 :rule trans :premises (@p106 @p128)) % 33.90/34.94 (step @p130 :rule refl :args (@t71)) % 33.90/34.94 (step @p131 :rule cong :premises (@p130 @p129) :args (@t72)) % 33.90/34.94 (step @p132 :rule trans :premises (@p121 @p123 @p131 @p127 @p126)) % 33.90/34.94 (step @p133 :rule refl :args (@t45)) % 33.90/34.94 (step @p134 :rule cong :premises (@p133 @p132) :args (@t46)) % 33.90/34.94 (step @p135 :rule symm :premises (@p69)) % 33.90/34.94 (step @p136 :rule trans :premises (@p135 @p70 @p72 @p134 @p119 @p118 @p117)) % 33.90/34.94 (step @p137 :rule cong :premises (@p136 @p65) :args (@t54)) % 33.90/34.94 (step @p138 :rule symm :premises (@p57)) % 33.90/34.94 (step @p139 :rule instantiate :premises (@p29) :args ((@list @t73 @t41))) % 33.90/34.94 (step @p140 :rule instantiate :premises (@p23) :args ((@list @t39 tptp.one @t73))) % 33.90/34.94 (step @p141 :rule instantiate :premises (@p29) :args ((@list @t73 @t75))) % 33.90/34.94 (step @p142 :rule refl :args (@t73)) % 33.90/34.94 (step @p143 :rule instantiate :premises (@p1) :args ((@list tptp.one @t51))) % 33.90/34.94 (step @p144 :rule symm :premises (@p143)) % 33.90/34.94 (step @p145 :rule refl :args (@t38)) % 33.90/34.94 (step @p146 :rule instantiate :premises (@p111) :args (@t50)) % 33.90/34.94 (step @p147 :rule symm :premises (@p146)) % 33.90/34.94 (step @p148 :rule cong :premises (@p147 @p145) :args ((tptp.multiplication (tptp.addition tptp.one @t76) @t38))) % 33.90/34.94 (step @p149 :rule instantiate :premises (@p9) :args ((@list tptp.one @t76 @t38))) % 33.90/34.94 (step @p150 :rule symm :premises (@p149)) % 33.90/34.94 (step @p151 :rule instantiate :premises (@p5) :args ((@list @t38 @t39 @t38))) % 33.90/34.94 (step @p152 :rule instantiate :premises (@p68) :args (@t50)) % 33.90/34.94 (step @p153 :rule eq-symm :args (@t13 @t1)) % 33.90/34.94 (step @p154 :rule cong :premises (@p153) :args (@t14)) % 33.90/34.94 (step @p155 :rule eq_resolve :premises (@p6 @p154)) % 33.90/34.94 (step @p156 :rule instantiate :premises (@p155) :args (@t50)) % 33.90/34.94 (step @p157 :rule symm :premises (@p156)) % 33.90/34.94 (step @p158 :rule trans :premises (@p157 @p152)) % 33.90/34.94 (step @p159 :rule cong :premises (@p158 @p151) :args (@t77)) % 33.90/34.94 (step @p160 :rule trans :premises (@p159 @p150 @p148)) % 33.90/34.94 (step @p161 :rule cong :premises (@p160 @p61) :args ((tptp.addition @t77 tptp.one))) % 33.90/34.94 (step @p162 :rule trans :premises (@p108 @p107)) % 33.90/34.94 (step @p163 :rule symm :premises (@p160)) % 33.90/34.94 (step @p164 :rule instantiate :premises (@p8) :args ((@list @t38 tptp.one @t51))) % 33.90/34.94 (step @p165 :rule cong :premises (@p145 @p55) :args (@t76)) % 33.90/34.94 (step @p166 :rule trans :premises (@p165 @p164 @p159 @p150 @p148)) % 33.90/34.94 (step @p167 :rule trans :premises (@p166 @p163)) % 33.90/34.94 (step @p168 :rule cong :premises (@p167 @p162) :args ((tptp.addition @t76 @t78))) % 33.90/34.94 (step @p169 :rule instantiate :premises (@p2) :args ((@list @t61 tptp.one @t76))) % 33.90/34.94 (step @p170 :rule symm :premises (@p169)) % 33.90/34.94 (step @p171 :rule symm :premises (@p112)) % 33.90/34.94 (step @p172 :rule trans :premises (@p106 @p128 @p171 @p114)) % 33.90/34.94 (step @p173 :rule instantiate :premises (@p1) :args ((@list tptp.one @t76))) % 33.90/34.94 (step @p174 :rule trans :premises (@p146 @p173)) % 33.90/34.94 (step @p175 :rule cong :premises (@p76 @p166) :args (@t79)) % 33.90/34.94 (step @p176 :rule trans :premises (@p175 @p56)) % 33.90/34.94 (step @p177 :rule trans :premises (@p176 @p174)) % 33.90/34.94 (step @p178 :rule cong :premises (@p177 @p172) :args (@t80)) % 33.90/34.94 (step @p179 :rule trans :premises (@p178 @p170 @p168 @p161 @p144 @p56)) % 33.90/34.94 (step @p180 :rule cong :premises (@p179 @p142) :args ((tptp.multiplication @t80 @t73))) % 33.90/34.94 (step @p181 :rule instantiate :premises (@p9) :args ((@list @t79 tptp.one @t73))) % 33.90/34.94 (step @p182 :rule symm :premises (@p181)) % 33.90/34.94 (step @p183 :rule instantiate :premises (@p15) :args (@t56)) % 33.90/34.94 (step @p184 :rule cong :premises (@p61 @p183) :args (@t43)) % 33.90/34.94 (step @p185 :rule instantiate :premises (@p68) :args (@t81)) % 33.90/34.94 (step @p186 :rule trans :premises (@p185 @p184)) % 33.90/34.94 (step @p187 :rule symm :premises (@p176)) % 33.90/34.94 (step @p188 :rule cong :premises (@p187 @p142) :args (@t74)) % 33.90/34.94 (step @p189 :rule cong :premises (@p188 @p186) :args (@t82)) % 33.90/34.94 (step @p190 :rule symm :premises (@p185)) % 33.90/34.94 (step @p191 :rule refl :args (@t74)) % 33.90/34.94 (step @p192 :rule cong :premises (@p191 @p190) :args (@t83)) % 33.90/34.94 (step @p193 :rule trans :premises (@p192 @p189 @p182 @p180)) % 33.90/34.94 (step @p194 :rule cong :premises (@p193 @p61) :args ((tptp.addition @t83 tptp.one))) % 33.90/34.94 (step @p195 :rule instantiate :premises (@p2) :args ((@list tptp.one @t43 @t74))) % 33.90/34.94 (step @p196 :rule cong :premises (@p191 @p183) :args (@t82)) % 33.90/34.94 (step @p197 :rule symm :premises (@p189)) % 33.90/34.94 (step @p198 :rule symm :premises (@p180)) % 33.90/34.94 (step @p199 :rule trans :premises (@p198 @p181 @p197 @p196 @p195 @p194)) % 33.90/34.94 (step @p200 :rule cong :premises (@p183 @p199) :args ((tptp.addition @t34 @t74))) % 33.90/34.94 (step @p201 :rule instantiate :premises (@p1) :args ((@list @t74 @t34))) % 33.90/34.94 (step @p202 :rule symm :premises (@p196)) % 33.90/34.94 (step @p203 :rule symm :premises (@p195)) % 33.90/34.94 (step @p204 :rule symm :premises (@p194)) % 33.90/34.94 (step @p205 :rule trans :premises (@p204 @p203 @p202 @p201 @p200)) % 33.90/34.94 (step @p206 :rule cnf_equiv_pos2 :args (@t86)) % 33.90/34.94 (step @p207 :rule reordering :premises (@p206) :args ((or @t85 (not @t84) (not @t86)))) % 33.90/34.94 (step @p208 :rule chain_m_resolution :premises (@p207 @p205 @p141) :args (@t85 @t65 (@list @t84 @t86))) % 33.90/34.94 (step @p209 :rule cnf_or_pos :args (@t89)) % 33.90/34.94 (step @p210 :rule reordering :premises (@p209) :args ((or @t88 @t87 (not @t89)))) % 33.90/34.94 (step @p211 :rule chain_m_resolution :premises (@p210 @p208 @p140) :args (@t87 @t65 (@list @t85 @t89))) % 33.90/34.94 (step @p212 :rule true_intro :premises (@p211)) % 33.90/34.94 (step @p213 :rule instantiate :premises (@p155) :args (@t55)) % 33.90/34.94 (step @p214 :rule trans :premises (@p138 @p58 @p137 @p64 @p62 @p50 @p48 @p213)) % 33.90/34.94 (step @p215 :rule cong :premises (@p142 @p214) :args (@t90)) % 33.90/34.94 (step @p216 :rule trans :premises (@p215 @p212)) % 33.90/34.94 (step @p217 :rule true_elim :premises (@p216)) % 33.90/34.94 (step @p218 :rule cnf_equiv_pos1 :args (@t92)) % 33.90/34.94 (step @p219 :rule reordering :premises (@p218) :args ((or @t91 (not @t90) (not @t92)))) % 33.90/34.94 (step @p220 :rule chain_m_resolution :premises (@p219 @p217 @p139) :args (@t91 @t65 (@list @t90 @t92))) % 33.90/34.94 (step @p221 :rule symm :premises (@p220)) % 33.90/34.94 (step @p222 :rule instantiate :premises (@p2) :args ((@list @t41 tptp.one @t43))) % 33.90/34.94 (step @p223 :rule instantiate :premises (@p1) :args ((@list @t43 (tptp.addition tptp.one @t41)))) % 33.90/34.94 (step @p224 :rule symm :premises (@p223)) % 33.90/34.94 (step @p225 :rule refl :args (@t43)) % 33.90/34.94 (step @p226 :rule trans :premises (@p135 @p47 @p49)) % 33.90/34.94 (step @p227 :rule trans :premises (@p74 @p226)) % 33.90/34.94 (step @p228 :rule cong :premises (@p227 @p225) :args (@t93)) % 33.90/34.94 (step @p229 :rule trans :premises (@p228 @p224 @p222 @p221 @p138 @p58 @p137 @p64 @p62 @p50 @p48)) % 33.90/34.94 (step @p230 :rule cong :premises (@p190 @p229) :args (@t94)) % 33.90/34.94 (step @p231 :rule trans :premises (@p230 @p46)) % 33.90/34.94 (step @p232 :rule false_elim :premises (@p231)) % 33.90/34.94 (step @p233 :rule cnf_equiv_pos1 :args (@t96)) % 33.90/34.94 (step @p234 :rule reordering :premises (@p233) :args ((or @t94 @t97 (not @t96)))) % 33.90/34.94 (step @p235 :rule chain_m_resolution :premises (@p234 @p232 @p30) :args (@t97 (@list true false) (@list @t94 @t96))) % 33.90/34.94 (step @p236 :rule false_intro :premises (@p235)) % 33.90/34.94 (step @p237 :rule trans :premises (@p48 @p70 @p72)) % 33.90/34.94 (step @p238 :rule trans :premises (@p73 @p71)) % 33.90/34.94 (step @p239 :rule trans :premises (@p112 @p108 @p107 @p75)) % 33.90/34.94 (step @p240 :rule trans :premises (@p239 @p76)) % 33.90/34.94 (step @p241 :rule cong :premises (@p240 @p238) :args ((tptp.multiplication @t60 @t46))) % 33.90/34.94 (step @p242 :rule symm :premises (@p238)) % 33.90/34.94 (step @p243 :rule refl :args (@t60)) % 33.90/34.94 (step @p244 :rule cong :premises (@p243 @p242) :args (@t98)) % 33.90/34.94 (step @p245 :rule trans :premises (@p244 @p241 @p135 @p47)) % 33.90/34.94 (step @p246 :rule trans :premises (@p245 @p237)) % 33.90/34.94 (step @p247 :rule cong :premises (@p246 @p185) :args ((tptp.leq @t98 @t34))) % 33.90/34.94 (step @p248 :rule instantiate :premises (@p155) :args (@t81)) % 33.90/34.94 (step @p249 :rule symm :premises (@p248)) % 33.90/34.94 (step @p250 :rule symm :premises (@p245)) % 33.90/34.94 (step @p251 :rule cong :premises (@p250 @p249) :args (@t99)) % 33.90/34.94 (step @p252 :rule trans :premises (@p251 @p247 @p236)) % 33.90/34.94 (step @p253 :rule false_elim :premises (@p252)) % 33.90/34.94 (step @p254 :rule instantiate :premises (@p29) :args ((@list @t42 @t40))) % 33.90/34.95 (step @p255 :rule cong :premises (@p47 @p51) :args ((tptp.addition @t40 @t40))) % 33.90/34.95 (step @p256 :rule instantiate :premises (@p79) :args (@t55)) % 33.90/34.95 (step @p257 :rule trans :premises (@p256 @p255)) % 33.90/34.95 (step @p258 :rule cnf_equiv_pos2 :args (@t102)) % 33.90/34.95 (step @p259 :rule reordering :premises (@p258) :args ((or @t101 (not @t100) (not @t102)))) % 33.90/34.95 (step @p260 :rule chain_m_resolution :premises (@p259 @p257 @p254) :args (@t101 @t65 (@list @t100 @t102))) % 33.90/34.95 (step @p261 :rule true_intro :premises (@p260)) % 33.90/34.95 (step @p262 :rule cong :premises (@p130 @p162) :args ((tptp.addition @t71 @t78))) % 33.90/34.95 (step @p263 :rule symm :premises (@p127)) % 33.90/34.95 (step @p264 :rule trans :premises (@p121 @p123)) % 33.90/34.95 (step @p265 :rule cong :premises (@p264 @p120) :args (@t103)) % 33.90/34.95 (step @p266 :rule trans :premises (@p265 @p263 @p262 @p124 @p122)) % 33.90/34.95 (step @p267 :rule cong :premises (@p133 @p266) :args ((tptp.addition @t45 @t103))) % 33.90/34.95 (step @p268 :rule symm :premises (@p119)) % 33.90/34.95 (step @p269 :rule trans :premises (@p135 @p70 @p72)) % 33.90/34.95 (step @p270 :rule cong :premises (@p61 @p48) :args (@t104)) % 33.90/34.95 (step @p271 :rule trans :premises (@p270 @p269)) % 33.90/34.95 (step @p272 :rule cong :premises (@p271 @p172) :args (@t105)) % 33.90/34.95 (step @p273 :rule trans :premises (@p272 @p268 @p267 @p73 @p71)) % 33.90/34.95 (step @p274 :rule refl :args (@t42)) % 33.90/34.95 (step @p275 :rule cong :premises (@p274 @p273) :args (@t106)) % 33.90/34.95 (step @p276 :rule trans :premises (@p275 @p261)) % 33.90/34.95 (step @p277 :rule true_elim :premises (@p276)) % 33.90/34.95 (step @p278 :rule cnf_or_pos :args (@t108)) % 33.90/34.95 (step @p279 :rule reordering :premises (@p278) :args ((or @t107 @t99 (not @t108)))) % 33.90/34.95 (step @p280 false :rule chain_m_resolution :premises (@p279 @p277 @p253 @p24) :args (false (@list false true false) (@list @t106 @t99 @t108))) % 33.90/34.95 ) % 33.90/34.95 % SZS output end Proof % 33.90/34.95 % cvc5 exiting %------------------------------------------------------------------------------