%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : KLE044+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 : n026.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 08:28:11 AM UTC 2026 % Result : Theorem 0.97s 1.16s % Output : Proof 0.97s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : KLE044+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 % 0.16/0.34 % Computer : n026.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 05:11:25 EDT 2026 % 0.16/0.34 % CPUTime : % 0.29/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.97/1.16 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.97/1.16 % SZS status Theorem % 0.97/1.16 % SZS output start Proof % 0.97/1.16 ( % 0.97/1.16 (declare-sort $$unsorted 0) % 0.97/1.16 (declare-const tptp.star (-> $$unsorted $$unsorted)) % 0.97/1.16 (declare-const tptp.multiplication (-> $$unsorted $$unsorted $$unsorted)) % 0.97/1.16 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.97/1.16 (declare-const tptp.zero $$unsorted) % 0.97/1.16 (declare-const tptp.one $$unsorted) % 0.97/1.16 (declare-const tptp.addition (-> $$unsorted $$unsorted $$unsorted)) % 0.97/1.16 (define @t1 () (@var "A" $$unsorted)) % 0.97/1.16 (define @t2 () (@var "B" $$unsorted)) % 0.97/1.16 (define @t3 () (tptp.addition @t1 @t2)) % 0.97/1.16 (define @t4 () (@list @t1 @t2)) % 0.97/1.16 (define @t5 () (@var "C" $$unsorted)) % 0.97/1.16 (define @t6 () (tptp.addition @t2 @t5)) % 0.97/1.16 (define @t7 () (forall (@list @t5 @t2 @t1) (= (tptp.addition @t1 @t6) (tptp.addition @t3 @t5)))) % 0.97/1.16 (define @t8 () (@list @t1)) % 0.97/1.16 (define @t9 () (tptp.multiplication @t1 @t2)) % 0.97/1.16 (define @t10 () (tptp.multiplication @t2 @t5)) % 0.97/1.16 (define @t11 () (@list @t1 @t2 @t5)) % 0.97/1.16 (define @t12 () (tptp.multiplication @t1 tptp.one)) % 0.97/1.16 (define @t13 () (forall @t8 (= @t12 @t1))) % 0.97/1.16 (define @t14 () (tptp.multiplication tptp.one @t1)) % 0.97/1.16 (define @t15 () (forall @t8 (= @t14 @t1))) % 0.97/1.16 (define @t16 () (tptp.multiplication @t1 @t5)) % 0.97/1.16 (define @t17 () (tptp.leq @t1 @t2)) % 0.97/1.16 (define @t18 () (= @t17 (= @t3 @t2))) % 0.97/1.16 (define @t19 () (forall @t4 @t18)) % 0.97/1.16 (define @t20 () (tptp.star @t1)) % 0.97/1.16 (define @t21 () (tptp.leq (tptp.multiplication @t20 @t5) @t2)) % 0.97/1.16 (define @t22 () (tptp.addition @t9 @t5)) % 0.97/1.16 (define @t23 () (tptp.leq @t22 @t2)) % 0.97/1.16 (define @t24 () (forall @t11 (=> @t23 @t21))) % 0.97/1.16 (define @t25 () (tptp.leq (tptp.multiplication @t5 (tptp.star @t2)) @t1)) % 0.97/1.16 (define @t26 () (tptp.leq @t22 @t1)) % 0.97/1.16 (define @t27 () (forall @t11 (=> @t26 @t25))) % 0.97/1.16 (define @t28 () (@var "X0" $$unsorted)) % 0.97/1.16 (define @t29 () (tptp.star (tptp.addition tptp.one @t28))) % 0.97/1.16 (define @t30 () (tptp.star @t28)) % 0.97/1.16 (define @t31 () (tptp.leq @t30 @t29)) % 0.97/1.16 (define @t32 () (tptp.leq @t29 @t30)) % 0.97/1.16 (define @t33 () (@list @t28)) % 0.97/1.16 (define @t34 () (forall @t33 (and @t32 @t31))) % 0.97/1.16 (define @t35 () (not @t34)) % 0.97/1.16 (define @t36 () (tptp.multiplication tptp.one tptp.one)) % 0.97/1.16 (define @t37 () (@var "BOUND_VARIABLE_7530" $$unsorted)) % 0.97/1.16 (define @t38 () (forall (@list @t37) (tptp.leq (tptp.star (tptp.addition tptp.one @t37)) (tptp.star @t37)))) % 0.97/1.16 (define @t39 () (@quantifiers_skolemize @t38 0)) % 0.97/1.16 (define @t40 () (tptp.addition tptp.one @t39)) % 0.97/1.16 (define @t41 () (tptp.star @t39)) % 0.97/1.16 (define @t42 () (@list @t39)) % 0.97/1.16 (define @t43 () (tptp.multiplication @t39 @t41)) % 0.97/1.16 (define @t44 () (tptp.leq (tptp.addition @t43 tptp.one) @t41)) % 0.97/1.16 (define @t45 () (tptp.multiplication @t41 tptp.one)) % 0.97/1.16 (define @t46 () (tptp.leq @t45 @t41)) % 0.97/1.16 (define @t47 () (not @t44)) % 0.97/1.16 (define @t48 () (or @t47 @t46)) % 0.97/1.16 (define @t49 () (@list false false)) % 0.97/1.16 (define @t50 () (tptp.multiplication @t41 @t39)) % 0.97/1.16 (define @t51 () (tptp.addition tptp.one @t50)) % 0.97/1.16 (define @t52 () (= @t41 (tptp.addition @t51 @t41))) % 0.97/1.16 (define @t53 () (tptp.leq @t51 @t41)) % 0.97/1.16 (define @t54 () (= @t53 @t52)) % 0.97/1.16 (define @t55 () (tptp.multiplication @t41 @t40)) % 0.97/1.16 (define @t56 () (tptp.addition @t55 @t36)) % 0.97/1.16 (define @t57 () (tptp.leq @t56 @t41)) % 0.97/1.16 (define @t58 () (tptp.star @t40)) % 0.97/1.16 (define @t59 () (tptp.leq (tptp.multiplication @t36 @t58) @t41)) % 0.97/1.16 (define @t60 () (not @t57)) % 0.97/1.16 (define @t61 () (or @t60 @t59)) % 0.97/1.16 (define @t62 () (tptp.leq @t58 @t41)) % 0.97/1.16 (define @t63 () (not @t62)) % 0.97/1.16 (define @t64 () (not @t38)) % 0.97/1.16 (define @t65 () (@list false)) % 0.97/1.16 (define @t66 () (@var "BOUND_VARIABLE_7538" $$unsorted)) % 0.97/1.16 (define @t67 () (forall (@list @t66) (tptp.leq (tptp.star @t66) (tptp.star (tptp.addition tptp.one @t66))))) % 0.97/1.16 (define @t68 () (@quantifiers_skolemize @t67 0)) % 0.97/1.16 (define @t69 () (tptp.addition tptp.one @t68)) % 0.97/1.16 (define @t70 () (tptp.star @t69)) % 0.97/1.16 (define @t71 () (tptp.multiplication @t70 @t69)) % 0.97/1.16 (define @t72 () (tptp.addition tptp.one @t71)) % 0.97/1.16 (define @t73 () (tptp.multiplication @t68 @t72)) % 0.97/1.16 (define @t74 () (tptp.addition @t73 tptp.one)) % 0.97/1.16 (define @t75 () (tptp.multiplication @t70 @t68)) % 0.97/1.16 (define @t76 () (tptp.multiplication @t70 tptp.one)) % 0.97/1.16 (define @t77 () (@list @t70)) % 0.97/1.16 (define @t78 () (tptp.multiplication tptp.one @t70)) % 0.97/1.16 (define @t79 () (@list @t69)) % 0.97/1.16 (define @t80 () (tptp.leq (tptp.addition @t71 tptp.one) @t70)) % 0.97/1.16 (define @t81 () (tptp.leq @t78 @t70)) % 0.97/1.16 (define @t82 () (not @t80)) % 0.97/1.16 (define @t83 () (or @t82 @t81)) % 0.97/1.16 (define @t84 () (tptp.addition @t78 @t70)) % 0.97/1.16 (define @t85 () (= @t70 @t84)) % 0.97/1.16 (define @t86 () (= @t81 @t85)) % 0.97/1.16 (define @t87 () (tptp.addition @t71 @t70)) % 0.97/1.16 (define @t88 () (tptp.multiplication @t69 @t70)) % 0.97/1.16 (define @t89 () (tptp.addition tptp.one @t88)) % 0.97/1.16 (define @t90 () (tptp.addition @t89 @t70)) % 0.97/1.16 (define @t91 () (= @t70 @t90)) % 0.97/1.16 (define @t92 () (tptp.leq @t89 @t70)) % 0.97/1.16 (define @t93 () (= @t92 @t91)) % 0.97/1.16 (define @t94 () (tptp.addition @t68 tptp.one)) % 0.97/1.16 (define @t95 () (tptp.multiplication @t94 @t70)) % 0.97/1.16 (define @t96 () (tptp.addition @t72 @t70)) % 0.97/1.16 (define @t97 () (= @t70 @t96)) % 0.97/1.16 (define @t98 () (tptp.leq @t72 @t70)) % 0.97/1.16 (define @t99 () (= @t98 @t97)) % 0.97/1.16 (define @t100 () (tptp.multiplication @t69 @t72)) % 0.97/1.16 (define @t101 () (tptp.addition @t100 @t88)) % 0.97/1.16 (define @t102 () (tptp.addition @t88 @t70)) % 0.97/1.16 (define @t103 () (tptp.multiplication @t68 @t70)) % 0.97/1.16 (define @t104 () (tptp.addition @t103 @t78)) % 0.97/1.16 (define @t105 () (tptp.addition @t103 tptp.one)) % 0.97/1.16 (define @t106 () (tptp.addition @t76 @t105)) % 0.97/1.16 (define @t107 () (tptp.addition @t71 @t106)) % 0.97/1.16 (define @t108 () (tptp.addition tptp.one @t87)) % 0.97/1.16 (define @t109 () (= @t108 @t96)) % 0.97/1.16 (define @t110 () (@list @t70 @t71 tptp.one)) % 0.97/1.16 (define @t111 () (@list @t7)) % 0.97/1.16 (define @t112 () (tptp.addition tptp.one @t102)) % 0.97/1.16 (define @t113 () (= @t112 @t90)) % 0.97/1.16 (define @t114 () (= @t72 (tptp.addition @t74 @t72))) % 0.97/1.16 (define @t115 () (tptp.leq @t74 @t72)) % 0.97/1.16 (define @t116 () (= @t115 @t114)) % 0.97/1.16 (define @t117 () (tptp.star @t68)) % 0.97/1.16 (define @t118 () (tptp.leq (tptp.multiplication @t117 tptp.one) @t72)) % 0.97/1.16 (define @t119 () (not @t115)) % 0.97/1.16 (define @t120 () (or @t119 @t118)) % 0.97/1.16 (define @t121 () (tptp.leq @t117 @t70)) % 0.97/1.16 (define @t122 () (not @t121)) % 0.97/1.16 (define @t123 () (not @t67)) % 0.97/1.16 (define @t124 () (forall @t33 @t31)) % 0.97/1.16 (define @t125 () (@list @t28)) % 0.97/1.16 (define @t126 () (forall @t33 @t32)) % 0.97/1.16 (define @t127 () (and @t126 @t124)) % 0.97/1.16 (assume @p1 (forall @t4 (= @t3 (tptp.addition @t2 @t1)))) % 0.97/1.16 (assume @p2 @t7) % 0.97/1.16 (assume @p3 (forall @t8 (= (tptp.addition @t1 tptp.zero) @t1))) % 0.97/1.16 (assume @p4 (forall @t8 (= (tptp.addition @t1 @t1) @t1))) % 0.97/1.16 (assume @p5 (forall @t11 (= (tptp.multiplication @t1 @t10) (tptp.multiplication @t9 @t5)))) % 0.97/1.16 (assume @p6 @t13) % 0.97/1.16 (assume @p7 @t15) % 0.97/1.16 (assume @p8 (forall @t11 (= (tptp.multiplication @t1 @t6) (tptp.addition @t9 @t16)))) % 0.97/1.16 (assume @p9 (forall @t11 (= (tptp.multiplication @t3 @t5) (tptp.addition @t16 @t10)))) % 0.97/1.16 (assume @p10 (forall @t8 (= (tptp.multiplication @t1 tptp.zero) tptp.zero))) % 0.97/1.16 (assume @p11 (forall @t8 (= (tptp.multiplication tptp.zero @t1) tptp.zero))) % 0.97/1.16 (assume @p12 @t19) % 0.97/1.16 (assume @p13 (forall @t8 (tptp.leq (tptp.addition tptp.one (tptp.multiplication @t1 @t20)) @t20))) % 0.97/1.16 (assume @p14 (forall @t8 (tptp.leq (tptp.addition tptp.one (tptp.multiplication @t20 @t1)) @t20))) % 0.97/1.16 (assume @p15 @t24) % 0.97/1.16 (assume @p16 @t27) % 0.97/1.16 (assume @p17 @t35) % 0.97/1.16 (assume @p18 true) % 0.97/1.16 (step @p19 :rule bool-impl-elim :args (@t26 @t25)) % 0.97/1.16 (step @p20 :rule cong :premises (@p19) :args (@t27)) % 0.97/1.16 (step @p21 :rule eq_resolve :premises (@p16 @p20)) % 0.97/1.16 (step @p22 :rule instantiate :premises (@p21) :args ((@list @t41 @t40 @t36))) % 0.97/1.16 (step @p23 :rule bool-impl-elim :args (@t23 @t21)) % 0.97/1.16 (step @p24 :rule cong :premises (@p23) :args (@t24)) % 0.97/1.16 (step @p25 :rule eq_resolve :premises (@p15 @p24)) % 0.97/1.16 (step @p26 :rule instantiate :premises (@p25) :args ((@list @t39 @t41 tptp.one))) % 0.97/1.16 (step @p27 :rule instantiate :premises (@p13) :args (@t42)) % 0.97/1.16 (step @p28 :rule true_intro :premises (@p27)) % 0.97/1.16 (step @p29 :rule refl :args (@t41)) % 0.97/1.16 (step @p30 :rule instantiate :premises (@p1) :args ((@list tptp.one @t43))) % 0.97/1.16 (step @p31 :rule symm :premises (@p30)) % 0.97/1.16 (step @p32 :rule cong :premises (@p31 @p29) :args (@t44)) % 0.97/1.16 (step @p33 :rule trans :premises (@p32 @p28)) % 0.97/1.16 (step @p34 :rule true_elim :premises (@p33)) % 0.97/1.16 (step @p35 :rule cnf_or_pos :args (@t48)) % 0.97/1.16 (step @p36 :rule reordering :premises (@p35) :args ((or @t47 @t46 (not @t48)))) % 0.97/1.16 (step @p37 :rule chain_m_resolution :premises (@p36 @p34 @p26) :args (@t46 @t49 (@list @t44 @t48))) % 0.97/1.16 (step @p38 :rule true_intro :premises (@p37)) % 0.97/1.16 (step @p39 :rule eq-symm :args (@t12 @t1)) % 0.97/1.16 (step @p40 :rule cong :premises (@p39) :args (@t13)) % 0.97/1.16 (step @p41 :rule eq_resolve :premises (@p6 @p40)) % 0.97/1.16 (step @p42 :rule instantiate :premises (@p41) :args ((@list @t41))) % 0.97/1.16 (step @p43 :rule eq-symm :args (@t3 @t2)) % 0.97/1.16 (step @p44 :rule refl :args (@t17)) % 0.97/1.16 (step @p45 :rule cong :premises (@p44 @p43) :args (@t18)) % 0.97/1.16 (step @p46 :rule cong :premises (@p45) :args (@t19)) % 0.97/1.16 (step @p47 :rule eq_resolve :premises (@p12 @p46)) % 0.97/1.16 (step @p48 :rule instantiate :premises (@p47) :args ((@list @t51 @t41))) % 0.97/1.16 (step @p49 :rule instantiate :premises (@p14) :args (@t42)) % 0.97/1.16 (step @p50 :rule cnf_equiv_pos1 :args (@t54)) % 0.97/1.16 (step @p51 :rule reordering :premises (@p50) :args ((or (not @t53) @t52 (not @t54)))) % 0.97/1.16 (step @p52 :rule chain_m_resolution :premises (@p51 @p49 @p48) :args (@t52 @t49 (@list @t53 @t54))) % 0.97/1.16 (step @p53 :rule symm :premises (@p52)) % 0.97/1.16 (step @p54 :rule instantiate :premises (@p2) :args ((@list @t41 @t50 tptp.one))) % 0.97/1.16 (step @p55 :rule instantiate :premises (@p1) :args ((@list @t50 @t41))) % 0.97/1.16 (step @p56 :rule symm :premises (@p55)) % 0.97/1.16 (step @p57 :rule refl :args (@t50)) % 0.97/1.16 (step @p58 :rule symm :premises (@p42)) % 0.97/1.16 (step @p59 :rule cong :premises (@p58 @p57) :args ((tptp.addition @t45 @t50))) % 0.97/1.16 (step @p60 :rule instantiate :premises (@p8) :args ((@list @t41 tptp.one @t39))) % 0.97/1.16 (step @p61 :rule trans :premises (@p60 @p59 @p56)) % 0.97/1.16 (step @p62 :rule refl :args (tptp.one)) % 0.97/1.16 (step @p63 :rule cong :premises (@p62 @p61) :args ((tptp.addition tptp.one @t55))) % 0.97/1.16 (step @p64 :rule instantiate :premises (@p1) :args ((@list @t55 tptp.one))) % 0.97/1.16 (step @p65 :rule trans :premises (@p64 @p63 @p54 @p53)) % 0.97/1.16 (step @p66 :rule instantiate :premises (@p41) :args ((@list tptp.one))) % 0.97/1.16 (step @p67 :rule symm :premises (@p66)) % 0.97/1.16 (step @p68 :rule refl :args (@t55)) % 0.97/1.16 (step @p69 :rule cong :premises (@p68 @p67) :args (@t56)) % 0.97/1.16 (step @p70 :rule trans :premises (@p69 @p65 @p42)) % 0.97/1.16 (step @p71 :rule cong :premises (@p70 @p29) :args (@t57)) % 0.97/1.16 (step @p72 :rule trans :premises (@p71 @p38)) % 0.97/1.16 (step @p73 :rule true_elim :premises (@p72)) % 0.97/1.16 (step @p74 :rule cnf_or_pos :args (@t61)) % 0.97/1.16 (step @p75 :rule reordering :premises (@p74) :args ((or @t60 @t59 (not @t61)))) % 0.97/1.16 (step @p76 :rule chain_m_resolution :premises (@p75 @p73 @p22) :args (@t59 @t49 (@list @t57 @t61))) % 0.97/1.16 (step @p77 :rule true_intro :premises (@p76)) % 0.97/1.16 (step @p78 :rule instantiate :premises (@p5) :args ((@list tptp.one tptp.one @t58))) % 0.97/1.16 (step @p79 :rule eq-symm :args (@t14 @t1)) % 0.97/1.16 (step @p80 :rule cong :premises (@p79) :args (@t15)) % 0.97/1.16 (step @p81 :rule eq_resolve :premises (@p7 @p80)) % 0.97/1.16 (step @p82 :rule instantiate :premises (@p81) :args ((@list @t58))) % 0.97/1.16 (step @p83 :rule cong :premises (@p62 @p82) :args ((tptp.multiplication tptp.one @t58))) % 0.97/1.16 (step @p84 :rule trans :premises (@p82 @p83 @p78)) % 0.97/1.16 (step @p85 :rule cong :premises (@p84 @p29) :args (@t62)) % 0.97/1.16 (step @p86 :rule trans :premises (@p85 @p77)) % 0.97/1.16 (step @p87 :rule true_elim :premises (@p86)) % 0.97/1.16 (step @p88 :rule refl :args (@t63)) % 0.97/1.16 (step @p89 :rule bool-double-not-elim :args (@t38)) % 0.97/1.16 (step @p90 :rule nary_cong :premises (@p89 @p88) :args ((or (not @t64) @t63))) % 0.97/1.16 (assume-push @p270 @t64) % 0.97/1.16 (step @p92 :rule skolemize :premises (@p270)) % 0.97/1.16 (step-pop @p271 :rule scope :premises (@p92)) % 0.97/1.16 (step @p93 :rule process_scope :premises (@p271) :args (@t63)) % 0.97/1.16 (step @p95 :rule implies_elim :premises (@p93)) % 0.97/1.16 (step @p96 :rule eq_resolve :premises (@p95 @p90)) % 0.97/1.16 (step @p97 :rule chain_m_resolution :premises (@p96 @p87) :args (@t38 @t65 (@list @t62))) % 0.97/1.16 (step @p98 :rule instantiate :premises (@p25) :args ((@list @t68 @t72 tptp.one))) % 0.97/1.16 (step @p99 :rule instantiate :premises (@p47) :args ((@list @t74 @t72))) % 0.97/1.16 (step @p100 :rule instantiate :premises (@p8) :args ((@list @t70 tptp.one @t68))) % 0.97/1.16 (step @p101 :rule symm :premises (@p100)) % 0.97/1.16 (step @p102 :rule instantiate :premises (@p1) :args ((@list @t76 @t75))) % 0.97/1.16 (step @p103 :rule symm :premises (@p102)) % 0.97/1.16 (step @p104 :rule instantiate :premises (@p41) :args (@t77)) % 0.97/1.16 (step @p105 :rule instantiate :premises (@p47) :args ((@list @t78 @t70))) % 0.97/1.16 (step @p106 :rule instantiate :premises (@p21) :args ((@list @t70 @t69 tptp.one))) % 0.97/1.16 (step @p107 :rule instantiate :premises (@p14) :args (@t79)) % 0.97/1.16 (step @p108 :rule true_intro :premises (@p107)) % 0.97/1.16 (step @p109 :rule refl :args (@t70)) % 0.97/1.16 (step @p110 :rule instantiate :premises (@p1) :args ((@list tptp.one @t71))) % 0.97/1.16 (step @p111 :rule symm :premises (@p110)) % 0.97/1.16 (step @p112 :rule cong :premises (@p111 @p109) :args (@t80)) % 0.97/1.16 (step @p113 :rule trans :premises (@p112 @p108)) % 0.97/1.16 (step @p114 :rule true_elim :premises (@p113)) % 0.97/1.16 (step @p115 :rule cnf_or_pos :args (@t83)) % 0.97/1.16 (step @p116 :rule reordering :premises (@p115) :args ((or @t82 @t81 (not @t83)))) % 0.97/1.16 (step @p117 :rule chain_m_resolution :premises (@p116 @p114 @p106) :args (@t81 @t49 (@list @t80 @t83))) % 0.97/1.16 (step @p118 :rule cnf_equiv_pos1 :args (@t86)) % 0.97/1.16 (step @p119 :rule reordering :premises (@p118) :args ((or (not @t81) @t85 (not @t86)))) % 0.97/1.16 (step @p120 :rule chain_m_resolution :premises (@p119 @p117 @p105) :args (@t85 @t49 (@list @t81 @t86))) % 0.97/1.16 (step @p121 :rule symm :premises (@p120)) % 0.97/1.16 (step @p122 :rule trans :premises (@p121 @p104)) % 0.97/1.16 (step @p123 :rule refl :args (@t75)) % 0.97/1.16 (step @p124 :rule cong :premises (@p123 @p122) :args ((tptp.addition @t75 @t84))) % 0.97/1.16 (step @p125 :rule instantiate :premises (@p2) :args ((@list @t70 @t78 @t75))) % 0.97/1.16 (step @p126 :rule symm :premises (@p125)) % 0.97/1.16 (step @p127 :rule instantiate :premises (@p81) :args (@t77)) % 0.97/1.16 (step @p128 :rule symm :premises (@p104)) % 0.97/1.16 (step @p129 :rule trans :premises (@p128 @p127)) % 0.97/1.16 (step @p130 :rule cong :premises (@p123 @p129) :args ((tptp.addition @t75 @t76))) % 0.97/1.16 (step @p131 :rule trans :premises (@p100 @p102 @p130)) % 0.97/1.16 (step @p132 :rule cong :premises (@p131 @p109) :args (@t87)) % 0.97/1.16 (step @p133 :rule instantiate :premises (@p47) :args ((@list @t89 @t70))) % 0.97/1.16 (step @p134 :rule instantiate :premises (@p13) :args (@t79)) % 0.97/1.16 (step @p135 :rule cnf_equiv_pos1 :args (@t93)) % 0.97/1.16 (step @p136 :rule reordering :premises (@p135) :args ((or (not @t92) @t91 (not @t93)))) % 0.97/1.16 (step @p137 :rule chain_m_resolution :premises (@p136 @p134 @p133) :args (@t91 @t49 (@list @t92 @t93))) % 0.97/1.16 (step @p138 :rule symm :premises (@p137)) % 0.97/1.16 (step @p139 :rule instantiate :premises (@p2) :args ((@list @t70 @t88 tptp.one))) % 0.97/1.16 (step @p140 :rule instantiate :premises (@p1) :args ((@list tptp.one @t68))) % 0.97/1.16 (step @p141 :rule symm :premises (@p140)) % 0.97/1.16 (step @p142 :rule cong :premises (@p141 @p109) :args (@t95)) % 0.97/1.16 (step @p143 :rule instantiate :premises (@p47) :args ((@list @t72 @t70))) % 0.97/1.16 (step @p144 :rule cnf_equiv_pos1 :args (@t99)) % 0.97/1.16 (step @p145 :rule reordering :premises (@p144) :args ((or (not @t98) @t97 (not @t99)))) % 0.97/1.16 (step @p146 :rule chain_m_resolution :premises (@p145 @p107 @p143) :args (@t97 @t49 (@list @t98 @t99))) % 0.97/1.16 (step @p147 :rule symm :premises (@p146)) % 0.97/1.16 (step @p148 :rule cong :premises (@p140 @p147) :args ((tptp.multiplication @t69 @t96))) % 0.97/1.16 (step @p149 :rule instantiate :premises (@p8) :args ((@list @t69 @t72 @t70))) % 0.97/1.16 (step @p150 :rule symm :premises (@p149)) % 0.97/1.16 (step @p151 :rule trans :premises (@p150 @p148 @p142)) % 0.97/1.16 (step @p152 :rule cong :premises (@p151 @p109) :args ((tptp.addition @t101 @t70))) % 0.97/1.16 (step @p153 :rule instantiate :premises (@p2) :args ((@list @t70 @t88 @t100))) % 0.97/1.16 (step @p154 :rule trans :premises (@p153 @p152)) % 0.97/1.16 (step @p155 :rule cong :premises (@p62 @p154) :args ((tptp.addition tptp.one (tptp.addition @t100 @t102)))) % 0.97/1.16 (step @p156 :rule symm :premises (@p153)) % 0.97/1.16 (step @p157 :rule symm :premises (@p152)) % 0.97/1.16 (step @p158 :rule instantiate :premises (@p9) :args ((@list tptp.one @t68 @t70))) % 0.97/1.16 (step @p159 :rule symm :premises (@p158)) % 0.97/1.16 (step @p160 :rule instantiate :premises (@p1) :args ((@list @t78 @t103))) % 0.97/1.16 (step @p161 :rule symm :premises (@p160)) % 0.97/1.16 (step @p162 :rule trans :premises (@p161 @p159)) % 0.97/1.16 (step @p163 :rule cong :premises (@p162 @p109) :args ((tptp.addition @t104 @t70))) % 0.97/1.16 (step @p164 :rule instantiate :premises (@p2) :args ((@list @t70 @t78 @t103))) % 0.97/1.16 (step @p165 :rule symm :premises (@p127)) % 0.97/1.16 (step @p166 :rule trans :premises (@p165 @p120)) % 0.97/1.16 (step @p167 :rule refl :args (@t103)) % 0.97/1.16 (step @p168 :rule cong :premises (@p167 @p166) :args (@t104)) % 0.97/1.16 (step @p169 :rule trans :premises (@p158 @p160 @p168 @p164 @p163 @p157 @p156)) % 0.97/1.16 (step @p170 :rule cong :premises (@p62 @p169) :args (@t89)) % 0.97/1.16 (step @p171 :rule instantiate :premises (@p1) :args ((@list tptp.one @t88))) % 0.97/1.16 (step @p172 :rule symm :premises (@p171)) % 0.97/1.16 (step @p173 :rule cong :premises (@p159 @p62) :args ((tptp.addition (tptp.addition @t78 @t103) tptp.one))) % 0.97/1.16 (step @p174 :rule instantiate :premises (@p2) :args ((@list tptp.one @t103 @t78))) % 0.97/1.16 (step @p175 :rule refl :args (@t105)) % 0.97/1.16 (step @p176 :rule cong :premises (@p129 @p175) :args (@t106)) % 0.97/1.16 (step @p177 :rule trans :premises (@p176 @p174 @p173 @p172 @p170 @p155 @p139 @p138)) % 0.97/1.16 (step @p178 :rule refl :args (@t71)) % 0.97/1.16 (step @p179 :rule cong :premises (@p178 @p177) :args (@t107)) % 0.97/1.16 (step @p180 :rule trans :premises (@p179 @p132 @p126 @p124 @p103 @p101)) % 0.97/1.16 (step @p181 :rule cong :premises (@p62 @p180) :args ((tptp.addition tptp.one @t107))) % 0.97/1.16 (step @p182 :rule symm :premises (@p179)) % 0.97/1.16 (step @p183 :rule cong :premises (@p62 @p182) :args (@t108)) % 0.97/1.16 (step @p184 :rule eq-symm :args (@t108 @t96)) % 0.97/1.16 (step @p185 :rule refl :args (@t7)) % 0.97/1.16 (step @p186 :rule cong :premises (@p185 @p184) :args ((=> @t7 @t109))) % 0.97/1.16 (assume-push @p272 @t7) % 0.97/1.16 (step @p188 :rule instantiate :premises (@p2) :args (@t110)) % 0.97/1.16 (step-pop @p273 :rule scope :premises (@p188)) % 0.97/1.16 (step @p189 :rule process_scope :premises (@p273) :args (@t109)) % 0.97/1.16 (step @p191 :rule eq_resolve :premises (@p189 @p186)) % 0.97/1.16 (step @p192 :rule implies_elim :premises (@p191)) % 0.97/1.16 (step @p193 :rule chain_m_resolution :premises (@p192 @p2) :args ((= @t96 @t108) @t65 @t111)) % 0.97/1.16 (step @p194 :rule trans :premises (@p151 @p158)) % 0.97/1.16 (step @p195 :rule cong :premises (@p194 @p62) :args ((tptp.addition @t101 tptp.one))) % 0.97/1.16 (step @p196 :rule instantiate :premises (@p2) :args ((@list tptp.one @t88 @t100))) % 0.97/1.16 (step @p197 :rule instantiate :premises (@p1) :args ((@list @t100 (tptp.addition @t88 tptp.one)))) % 0.97/1.16 (step @p198 :rule symm :premises (@p197)) % 0.97/1.16 (step @p199 :rule refl :args (@t72)) % 0.97/1.16 (step @p200 :rule cong :premises (@p141 @p199) :args ((tptp.multiplication @t94 @t72))) % 0.97/1.16 (step @p201 :rule trans :premises (@p146 @p193 @p183 @p181)) % 0.97/1.16 (step @p202 :rule refl :args (@t94)) % 0.97/1.16 (step @p203 :rule cong :premises (@p202 @p201) :args (@t95)) % 0.97/1.16 (step @p204 :rule symm :premises (@p142)) % 0.97/1.16 (step @p205 :rule trans :premises (@p204 @p203 @p200)) % 0.97/1.16 (step @p206 :rule symm :premises (@p170)) % 0.97/1.16 (step @p207 :rule symm :premises (@p155)) % 0.97/1.16 (step @p208 :rule eq-symm :args (@t112 @t90)) % 0.97/1.16 (step @p209 :rule cong :premises (@p185 @p208) :args ((=> @t7 @t113))) % 0.97/1.16 (assume-push @p274 @t7) % 0.97/1.16 (step-pop @p275 :rule scope :premises (@p139)) % 0.97/1.16 (step @p211 :rule process_scope :premises (@p275) :args (@t113)) % 0.97/1.16 (step @p213 :rule eq_resolve :premises (@p211 @p209)) % 0.97/1.16 (step @p214 :rule implies_elim :premises (@p213)) % 0.97/1.16 (step @p215 :rule chain_m_resolution :premises (@p214 @p2) :args ((= @t90 @t112) @t65 @t111)) % 0.97/1.16 (step @p216 :rule trans :premises (@p137 @p215 @p207 @p206)) % 0.97/1.16 (step @p217 :rule trans :premises (@p216 @p171)) % 0.97/1.16 (step @p218 :rule cong :premises (@p217 @p205) :args ((tptp.addition @t70 @t88))) % 0.97/1.16 (step @p219 :rule instantiate :premises (@p1) :args ((@list @t88 @t70))) % 0.97/1.16 (step @p220 :rule trans :premises (@p168 @p164 @p163 @p219 @p218 @p198 @p196 @p195 @p173 @p172 @p170 @p155 @p139 @p138 @p146 @p193 @p183 @p181)) % 0.97/1.16 (step @p221 :rule instantiate :premises (@p1) :args ((@list @t73 tptp.one))) % 0.97/1.16 (step @p222 :rule symm :premises (@p221)) % 0.97/1.16 (step @p223 :rule cong :premises (@p222 @p220) :args ((tptp.addition (tptp.addition tptp.one @t73) @t104))) % 0.97/1.16 (step @p224 :rule instantiate :premises (@p2) :args ((@list @t104 @t73 tptp.one))) % 0.97/1.16 (step @p225 :rule instantiate :premises (@p2) :args ((@list @t78 @t103 @t73))) % 0.97/1.16 (step @p226 :rule symm :premises (@p225)) % 0.97/1.16 (step @p227 :rule refl :args (@t78)) % 0.97/1.16 (step @p228 :rule instantiate :premises (@p8) :args ((@list @t68 @t72 @t70))) % 0.97/1.16 (step @p229 :rule refl :args (@t68)) % 0.97/1.16 (step @p230 :rule cong :premises (@p229 @p146) :args (@t103)) % 0.97/1.16 (step @p231 :rule trans :premises (@p230 @p228)) % 0.97/1.16 (step @p232 :rule cong :premises (@p231 @p227) :args (@t104)) % 0.97/1.16 (step @p233 :rule trans :premises (@p158 @p160 @p232 @p226)) % 0.97/1.16 (step @p234 :rule cong :premises (@p62 @p233) :args (@t89)) % 0.97/1.16 (step @p188 :rule instantiate :premises (@p2) :args (@t110)) % 0.97/1.16 (step @p235 :rule symm :premises (@p183)) % 0.97/1.16 (step @p236 :rule symm :premises (@p181)) % 0.97/1.16 (step @p237 :rule trans :premises (@p236 @p235 @p188 @p147 @p137 @p215 @p207 @p206 @p234 @p224 @p223)) % 0.97/1.16 (step @p238 :rule cnf_equiv_pos2 :args (@t116)) % 0.97/1.16 (step @p239 :rule reordering :premises (@p238) :args ((or @t115 (not @t114) (not @t116)))) % 0.97/1.16 (step @p240 :rule chain_m_resolution :premises (@p239 @p237 @p99) :args (@t115 @t49 (@list @t114 @t116))) % 0.97/1.16 (step @p241 :rule cnf_or_pos :args (@t120)) % 0.97/1.16 (step @p242 :rule reordering :premises (@p241) :args ((or @t119 @t118 (not @t120)))) % 0.97/1.16 (step @p243 :rule chain_m_resolution :premises (@p242 @p240 @p98) :args (@t118 @t49 (@list @t115 @t120))) % 0.97/1.16 (step @p244 :rule true_intro :premises (@p243)) % 0.97/1.16 (step @p245 :rule instantiate :premises (@p41) :args ((@list @t117))) % 0.97/1.16 (step @p246 :rule cong :premises (@p245 @p199) :args ((tptp.leq @t117 @t72))) % 0.97/1.16 (step @p247 :rule refl :args (@t117)) % 0.97/1.16 (step @p248 :rule cong :premises (@p247 @p201) :args (@t121)) % 0.97/1.16 (step @p249 :rule trans :premises (@p248 @p246 @p244)) % 0.97/1.16 (step @p250 :rule true_elim :premises (@p249)) % 0.97/1.16 (step @p251 :rule refl :args (@t122)) % 0.97/1.16 (step @p252 :rule bool-double-not-elim :args (@t67)) % 0.97/1.16 (step @p253 :rule nary_cong :premises (@p252 @p251) :args ((or (not @t123) @t122))) % 0.97/1.16 (assume-push @p276 @t123) % 0.97/1.16 (step @p255 :rule skolemize :premises (@p276)) % 0.97/1.16 (step-pop @p277 :rule scope :premises (@p255)) % 0.97/1.16 (step @p256 :rule process_scope :premises (@p277) :args (@t122)) % 0.97/1.16 (step @p258 :rule implies_elim :premises (@p256)) % 0.97/1.16 (step @p259 :rule eq_resolve :premises (@p258 @p253)) % 0.97/1.16 (step @p260 :rule chain_m_resolution :premises (@p259 @p250) :args (@t67 @t65 (@list @t121))) % 0.97/1.16 (step @p261 :rule alpha_equiv :args (@t124 @t125 (@list @t66))) % 0.97/1.16 (step @p262 :rule alpha_equiv :args (@t126 @t125 (@list @t37))) % 0.97/1.16 (step @p263 :rule nary_cong :premises (@p262 @p261) :args (@t127)) % 0.97/1.16 (step @p264 :rule quant-miniscope-and :args ((= @t34 @t127))) % 0.97/1.16 (step @p265 :rule trans :premises (@p264 @p263)) % 0.97/1.16 (step @p266 :rule cong :premises (@p265) :args (@t35)) % 0.97/1.16 (step @p267 :rule eq_resolve :premises (@p17 @p266)) % 0.97/1.16 (step @p268 :rule not_and :premises (@p267)) % 0.97/1.16 (step @p269 false :rule chain_m_resolution :premises (@p268 @p260 @p97) :args (false @t49 (@list @t67 @t38))) % 0.97/1.16 ) % 0.97/1.16 % SZS output end Proof % 0.97/1.16 % cvc5 exiting %------------------------------------------------------------------------------