%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : KLE022+4 : 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 : n016.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 08:28:07 AM UTC 2026 % Result : Theorem 0.72s 0.94s % Output : Proof 0.72s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : KLE022+4 : 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 % 0.16/0.34 % Computer : n016.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 05:10:39 EDT 2026 % 0.16/0.34 % CPUTime : % 0.27/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.72/0.94 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.72/0.94 % SZS status Theorem % 0.72/0.94 % SZS output start Proof % 0.72/0.94 ( % 0.72/0.94 (declare-sort $$unsorted 0) % 0.72/0.94 (declare-const tptp.c (-> $$unsorted $$unsorted)) % 0.72/0.94 (declare-const tptp.test (-> $$unsorted Bool)) % 0.72/0.94 (declare-const tptp.complement (-> $$unsorted $$unsorted Bool)) % 0.72/0.94 (declare-const tptp.multiplication (-> $$unsorted $$unsorted $$unsorted)) % 0.72/0.94 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.72/0.94 (declare-const tptp.zero $$unsorted) % 0.72/0.94 (declare-const tptp.one $$unsorted) % 0.72/0.94 (declare-const tptp.addition (-> $$unsorted $$unsorted $$unsorted)) % 0.72/0.94 (define @t1 () (@var "A" $$unsorted)) % 0.72/0.94 (define @t2 () (@var "B" $$unsorted)) % 0.72/0.94 (define @t3 () (tptp.addition @t1 @t2)) % 0.72/0.94 (define @t4 () (@list @t1 @t2)) % 0.72/0.94 (define @t5 () (@var "C" $$unsorted)) % 0.72/0.94 (define @t6 () (tptp.addition @t2 @t5)) % 0.72/0.94 (define @t7 () (@list @t1)) % 0.72/0.94 (define @t8 () (tptp.addition @t1 @t1)) % 0.72/0.94 (define @t9 () (forall @t7 (= @t8 @t1))) % 0.72/0.94 (define @t10 () (tptp.multiplication @t1 @t2)) % 0.72/0.94 (define @t11 () (tptp.multiplication @t2 @t5)) % 0.72/0.94 (define @t12 () (@list @t1 @t2 @t5)) % 0.72/0.94 (define @t13 () (tptp.multiplication @t1 tptp.one)) % 0.72/0.94 (define @t14 () (forall @t7 (= @t13 @t1))) % 0.72/0.94 (define @t15 () (tptp.multiplication @t1 @t5)) % 0.72/0.94 (define @t16 () (tptp.leq @t1 @t2)) % 0.72/0.94 (define @t17 () (= @t16 (= @t3 @t2))) % 0.72/0.94 (define @t18 () (forall @t4 @t17)) % 0.72/0.94 (define @t19 () (@var "X0" $$unsorted)) % 0.72/0.94 (define @t20 () (@var "X1" $$unsorted)) % 0.72/0.94 (define @t21 () (tptp.complement @t20 @t19)) % 0.72/0.94 (define @t22 () (@list @t20)) % 0.72/0.94 (define @t23 () (exists @t22 @t21)) % 0.72/0.94 (define @t24 () (tptp.test @t19)) % 0.72/0.94 (define @t25 () (= @t24 @t23)) % 0.72/0.94 (define @t26 () (@list @t19)) % 0.72/0.94 (define @t27 () (forall @t26 @t25)) % 0.72/0.94 (define @t28 () (tptp.addition @t19 @t20)) % 0.72/0.94 (define @t29 () (tptp.multiplication @t20 @t19)) % 0.72/0.94 (define @t30 () (tptp.multiplication @t19 @t20)) % 0.72/0.94 (define @t31 () (and (= @t30 tptp.zero) (= @t29 tptp.zero) (= @t28 tptp.one))) % 0.72/0.94 (define @t32 () (= @t21 @t31)) % 0.72/0.94 (define @t33 () (@list @t19 @t20)) % 0.72/0.94 (define @t34 () (forall @t33 @t32)) % 0.72/0.94 (define @t35 () (tptp.complement @t19 @t20)) % 0.72/0.94 (define @t36 () (tptp.c @t19)) % 0.72/0.94 (define @t37 () (= (= @t36 @t20) @t35)) % 0.72/0.94 (define @t38 () (=> @t24 @t37)) % 0.72/0.94 (define @t39 () (forall @t33 @t38)) % 0.72/0.94 (define @t40 () (not @t24)) % 0.72/0.94 (define @t41 () (tptp.c @t20)) % 0.72/0.94 (define @t42 () (tptp.test @t20)) % 0.72/0.94 (define @t43 () (and @t24 @t42)) % 0.72/0.94 (define @t44 () (tptp.addition @t30 (tptp.multiplication @t19 @t41))) % 0.72/0.94 (define @t45 () (and (tptp.leq @t19 @t44) (tptp.leq @t44 @t19))) % 0.72/0.94 (define @t46 () (forall @t33 (=> @t42 @t45))) % 0.72/0.94 (define @t47 () (not @t46)) % 0.72/0.94 (define @t48 () (forall @t33 (or (not @t42) @t45))) % 0.72/0.94 (define @t49 () (@quantifiers_skolemize @t48 0)) % 0.72/0.94 (define @t50 () (@quantifiers_skolemize @t48 1)) % 0.72/0.94 (define @t51 () (tptp.c @t50)) % 0.72/0.94 (define @t52 () (tptp.addition (tptp.multiplication @t49 @t50) (tptp.multiplication @t49 @t51))) % 0.72/0.94 (define @t53 () (tptp.leq @t52 @t49)) % 0.72/0.94 (define @t54 () (tptp.leq @t49 @t52)) % 0.72/0.94 (define @t55 () (and @t54 @t53)) % 0.72/0.94 (define @t56 () (tptp.test @t50)) % 0.72/0.94 (define @t57 () (not @t56)) % 0.72/0.94 (define @t58 () (or @t57 @t55)) % 0.72/0.94 (define @t59 () (@list true)) % 0.72/0.94 (define @t60 () (@list @t58)) % 0.72/0.94 (define @t61 () (tptp.leq @t52 @t52)) % 0.72/0.94 (define @t62 () (= @t52 (tptp.addition @t52 @t52))) % 0.72/0.94 (define @t63 () (forall @t4 (= @t16 (= @t2 @t3)))) % 0.72/0.94 (define @t64 () (= @t61 @t62)) % 0.72/0.94 (define @t65 () (= @t62 @t61)) % 0.72/0.94 (define @t66 () (@list false)) % 0.72/0.94 (define @t67 () (@list false false)) % 0.72/0.94 (define @t68 () (= @t20 @t36)) % 0.72/0.94 (define @t69 () (= @t35 @t68)) % 0.72/0.94 (define @t70 () (forall @t22 (not (tptp.complement @t20 @t50)))) % 0.72/0.94 (define @t71 () (@quantifiers_skolemize @t70 0)) % 0.72/0.94 (define @t72 () (tptp.complement @t50 @t71)) % 0.72/0.94 (define @t73 () (= @t72 (= @t71 @t51))) % 0.72/0.94 (define @t74 () (or @t57 @t73)) % 0.72/0.94 (define @t75 () (forall @t33 (or @t40 @t69))) % 0.72/0.94 (define @t76 () (@list @t50 @t71)) % 0.72/0.94 (define @t77 () (= @t51 @t71)) % 0.72/0.94 (define @t78 () (= @t72 @t77)) % 0.72/0.94 (define @t79 () (or @t57 @t78)) % 0.72/0.94 (define @t80 () (@list @t50)) % 0.72/0.94 (define @t81 () (not @t70)) % 0.72/0.94 (define @t82 () (= @t56 @t81)) % 0.72/0.94 (define @t83 () (tptp.complement @t71 @t50)) % 0.72/0.94 (define @t84 () (not @t83)) % 0.72/0.94 (define @t85 () (not @t84)) % 0.72/0.94 (define @t86 () (tptp.addition @t50 @t71)) % 0.72/0.94 (define @t87 () (= tptp.one @t86)) % 0.72/0.94 (define @t88 () (= tptp.zero (tptp.multiplication @t71 @t50))) % 0.72/0.94 (define @t89 () (= tptp.zero (tptp.multiplication @t50 @t71))) % 0.72/0.94 (define @t90 () (and @t89 @t88 @t87)) % 0.72/0.94 (define @t91 () (= @t83 @t90)) % 0.72/0.94 (define @t92 () (not @t90)) % 0.72/0.94 (define @t93 () (@list @t90)) % 0.72/0.94 (define @t94 () (= tptp.one (tptp.addition @t71 @t50))) % 0.72/0.94 (define @t95 () (and @t88 @t89 @t94)) % 0.72/0.94 (define @t96 () (= @t72 @t95)) % 0.72/0.94 (assume @p1 (forall @t4 (= @t3 (tptp.addition @t2 @t1)))) % 0.72/0.94 (assume @p2 (forall (@list @t5 @t2 @t1) (= (tptp.addition @t1 @t6) (tptp.addition @t3 @t5)))) % 0.72/0.94 (assume @p3 (forall @t7 (= (tptp.addition @t1 tptp.zero) @t1))) % 0.72/0.94 (assume @p4 @t9) % 0.72/0.94 (assume @p5 (forall @t12 (= (tptp.multiplication @t1 @t11) (tptp.multiplication @t10 @t5)))) % 0.72/0.94 (assume @p6 @t14) % 0.72/0.94 (assume @p7 (forall @t7 (= (tptp.multiplication tptp.one @t1) @t1))) % 0.72/0.94 (assume @p8 (forall @t12 (= (tptp.multiplication @t1 @t6) (tptp.addition @t10 @t15)))) % 0.72/0.94 (assume @p9 (forall @t12 (= (tptp.multiplication @t3 @t5) (tptp.addition @t15 @t11)))) % 0.72/0.94 (assume @p10 (forall @t7 (= (tptp.multiplication @t1 tptp.zero) tptp.zero))) % 0.72/0.94 (assume @p11 (forall @t7 (= (tptp.multiplication tptp.zero @t1) tptp.zero))) % 0.72/0.94 (assume @p12 @t18) % 0.72/0.94 (assume @p13 @t27) % 0.72/0.94 (assume @p14 @t34) % 0.72/0.94 (assume @p15 @t39) % 0.72/0.94 (assume @p16 (forall @t26 (=> @t40 (= @t36 tptp.zero)))) % 0.72/0.94 (assume @p17 (forall @t33 (=> @t43 (= (tptp.c @t28) (tptp.multiplication @t36 @t41))))) % 0.72/0.94 (assume @p18 (forall @t33 (=> @t43 (= (tptp.c @t30) (tptp.addition @t36 @t41))))) % 0.72/0.94 (assume @p19 @t47) % 0.72/0.94 (assume @p20 true) % 0.72/0.94 (step @p21 :rule bool-impl-elim :args (@t42 @t45)) % 0.72/0.94 (step @p22 :rule cong :premises (@p21) :args (@t46)) % 0.72/0.94 (step @p23 :rule cong :premises (@p22) :args (@t47)) % 0.72/0.94 (step @p24 :rule eq_resolve :premises (@p19 @p23)) % 0.72/0.94 (step @p25 :rule skolemize :premises (@p24)) % 0.72/0.94 (step @p26 :rule cnf_or_neg :args (@t58 1)) % 0.72/0.94 (step @p27 :rule chain_m_resolution :premises (@p26 @p25) :args ((not @t55) @t59 @t60)) % 0.72/0.94 (step @p28 :rule eq-symm :args (@t3 @t2)) % 0.72/0.94 (step @p29 :rule refl :args (@t16)) % 0.72/0.94 (step @p30 :rule cong :premises (@p29 @p28) :args (@t17)) % 0.72/0.94 (step @p31 :rule cong :premises (@p30) :args (@t18)) % 0.72/0.94 (step @p32 :rule eq_resolve :premises (@p12 @p31)) % 0.72/0.94 (step @p33 :rule eq-symm :args (@t61 @t62)) % 0.72/0.94 (step @p34 :rule refl :args (@t63)) % 0.72/0.94 (step @p35 :rule cong :premises (@p34 @p33) :args ((=> @t63 @t64))) % 0.72/0.94 (assume-push @p166 @t63) % 0.72/0.94 (step @p37 :rule instantiate :premises (@p32) :args ((@list @t52 @t52))) % 0.72/0.94 (step-pop @p167 :rule scope :premises (@p37)) % 0.72/0.94 (step @p38 :rule process_scope :premises (@p167) :args (@t64)) % 0.72/0.94 (step @p40 :rule eq_resolve :premises (@p38 @p35)) % 0.72/0.94 (step @p41 :rule implies_elim :premises (@p40)) % 0.72/0.94 (step @p42 :rule chain_m_resolution :premises (@p41 @p32) :args (@t65 @t66 (@list @t63))) % 0.72/0.94 (step @p43 :rule eq-symm :args (@t8 @t1)) % 0.72/0.94 (step @p44 :rule cong :premises (@p43) :args (@t9)) % 0.72/0.94 (step @p45 :rule eq_resolve :premises (@p4 @p44)) % 0.72/0.94 (step @p46 :rule instantiate :premises (@p45) :args ((@list @t52))) % 0.72/0.94 (step @p47 :rule cnf_equiv_pos1 :args (@t65)) % 0.72/0.94 (step @p48 :rule reordering :premises (@p47) :args ((or @t61 (not @t62) (not @t65)))) % 0.72/0.94 (step @p49 :rule chain_m_resolution :premises (@p48 @p46 @p42) :args (@t61 @t67 (@list @t62 @t65))) % 0.72/0.94 (step @p50 :rule true_intro :premises (@p49)) % 0.72/0.94 (step @p51 :rule instantiate :premises (@p8) :args ((@list @t49 @t50 @t51))) % 0.72/0.94 (step @p52 :rule bool-impl-elim :args (@t24 @t69)) % 0.72/0.94 (step @p53 :rule cong :premises (@p52) :args ((forall @t33 (=> @t24 @t69)))) % 0.72/0.94 (step @p54 :rule eq-symm :args (@t68 @t35)) % 0.72/0.94 (step @p55 :rule refl :args (@t35)) % 0.72/0.94 (step @p56 :rule eq-symm :args (@t36 @t20)) % 0.72/0.94 (step @p57 :rule cong :premises (@p56 @p55) :args (@t37)) % 0.72/0.94 (step @p58 :rule trans :premises (@p57 @p54)) % 0.72/0.94 (step @p59 :rule refl :args (@t24)) % 0.72/0.94 (step @p60 :rule cong :premises (@p59 @p58) :args (@t38)) % 0.72/0.94 (step @p61 :rule cong :premises (@p60) :args (@t39)) % 0.72/0.94 (step @p62 :rule trans :premises (@p61 @p53)) % 0.72/0.94 (step @p63 :rule eq_resolve :premises (@p15 @p62)) % 0.72/0.94 (step @p64 :rule eq-symm :args (@t71 @t51)) % 0.72/0.94 (step @p65 :rule refl :args (@t72)) % 0.72/0.94 (step @p66 :rule cong :premises (@p65 @p64) :args (@t73)) % 0.72/0.94 (step @p67 :rule refl :args (@t57)) % 0.72/0.94 (step @p68 :rule nary_cong :premises (@p67 @p66) :args (@t74)) % 0.72/0.94 (step @p69 :rule refl :args (@t75)) % 0.72/0.94 (step @p70 :rule cong :premises (@p69 @p68) :args ((=> @t75 @t74))) % 0.72/0.94 (assume-push @p168 @t75) % 0.72/0.94 (step @p72 :rule instantiate :premises (@p63) :args (@t76)) % 0.72/0.94 (step-pop @p169 :rule scope :premises (@p72)) % 0.72/0.94 (step @p73 :rule process_scope :premises (@p169) :args (@t74)) % 0.72/0.94 (step @p75 :rule eq_resolve :premises (@p73 @p70)) % 0.72/0.94 (step @p76 :rule implies_elim :premises (@p75)) % 0.72/0.94 (step @p77 :rule chain_m_resolution :premises (@p76 @p63) :args (@t79 @t66 (@list @t75))) % 0.72/0.94 (step @p78 :rule bool-double-not-elim :args (@t56)) % 0.72/0.94 (step @p79 :rule refl :args (@t58)) % 0.72/0.94 (step @p80 :rule nary_cong :premises (@p79 @p78) :args ((or @t58 (not @t57)))) % 0.72/0.94 (step @p81 :rule cnf_or_neg :args (@t58 0)) % 0.72/0.94 (step @p82 :rule eq_resolve :premises (@p81 @p80)) % 0.72/0.94 (step @p83 :rule reordering :premises (@p82) :args ((or @t56 @t58))) % 0.72/0.94 (step @p84 :rule chain_m_resolution :premises (@p83 @p25) :args (@t56 @t59 @t60)) % 0.72/0.94 (step @p85 :rule cnf_or_pos :args (@t79)) % 0.72/0.94 (step @p86 :rule reordering :premises (@p85) :args ((or @t57 @t78 (not @t79)))) % 0.72/0.94 (step @p87 :rule chain_m_resolution :premises (@p86 @p84 @p77) :args (@t78 @t67 (@list @t56 @t79))) % 0.72/0.94 (step @p88 :rule eq-symm :args (@t28 tptp.one)) % 0.72/0.94 (step @p89 :rule eq-symm :args (@t29 tptp.zero)) % 0.72/0.94 (step @p90 :rule eq-symm :args (@t30 tptp.zero)) % 0.72/0.94 (step @p91 :rule nary_cong :premises (@p90 @p89 @p88) :args (@t31)) % 0.72/0.94 (step @p92 :rule refl :args (@t21)) % 0.72/0.94 (step @p93 :rule cong :premises (@p92 @p91) :args (@t32)) % 0.72/0.94 (step @p94 :rule cong :premises (@p93) :args (@t34)) % 0.72/0.94 (step @p95 :rule eq_resolve :premises (@p14 @p94)) % 0.72/0.94 (step @p96 :rule instantiate :premises (@p95) :args ((@list @t71 @t50))) % 0.72/0.94 (step @p97 :rule instantiate :premises (@p1) :args (@t76)) % 0.72/0.94 (step @p98 :rule instantiate :premises (@p95) :args (@t76)) % 0.72/0.94 (step @p99 :rule exists-elim :args ((= @t23 (not (forall @t22 (not @t21)))))) % 0.72/0.94 (step @p100 :rule cong :premises (@p59 @p99) :args (@t25)) % 0.72/0.94 (step @p101 :rule cong :premises (@p100) :args (@t27)) % 0.72/0.94 (step @p102 :rule eq_resolve :premises (@p13 @p101)) % 0.72/0.94 (step @p103 :rule instantiate :premises (@p102) :args (@t80)) % 0.72/0.94 (step @p104 :rule cnf_equiv_pos1 :args (@t82)) % 0.72/0.94 (step @p105 :rule reordering :premises (@p104) :args ((or @t57 @t81 (not @t82)))) % 0.72/0.94 (step @p106 :rule chain_m_resolution :premises (@p105 @p84 @p103) :args (@t81 @t67 (@list @t56 @t82))) % 0.72/0.94 (step @p107 :rule refl :args (@t83)) % 0.72/0.94 (step @p108 :rule bool-double-not-elim :args (@t70)) % 0.72/0.94 (step @p109 :rule nary_cong :premises (@p108 @p107) :args ((or (not @t81) @t83))) % 0.72/0.94 (step @p110 :rule bool-double-not-elim :args (@t83)) % 0.72/0.94 (step @p111 :rule refl :args (@t81)) % 0.72/0.94 (step @p112 :rule cong :premises (@p111 @p110) :args ((=> @t81 @t85))) % 0.72/0.94 (assume-push @p170 @t81) % 0.72/0.94 (step @p114 :rule skolemize :premises (@p106)) % 0.72/0.94 (step-pop @p171 :rule scope :premises (@p114)) % 0.72/0.94 (step @p115 :rule process_scope :premises (@p171) :args (@t85)) % 0.72/0.94 (step @p117 :rule eq_resolve :premises (@p115 @p112)) % 0.72/0.94 (step @p118 :rule implies_elim :premises (@p117)) % 0.72/0.94 (step @p119 :rule eq_resolve :premises (@p118 @p109)) % 0.72/0.94 (step @p120 :rule chain_m_resolution :premises (@p119 @p106) :args (@t83 @t59 (@list @t70))) % 0.72/0.94 (step @p121 :rule cnf_equiv_pos1 :args (@t91)) % 0.72/0.94 (step @p122 :rule reordering :premises (@p121) :args ((or @t84 @t90 (not @t91)))) % 0.72/0.94 (step @p123 :rule chain_m_resolution :premises (@p122 @p120 @p98) :args (@t90 @t67 (@list @t83 @t91))) % 0.72/0.94 (step @p124 :rule cnf_and_pos :args (@t90 2)) % 0.72/0.94 (step @p125 :rule reordering :premises (@p124) :args ((or @t87 @t92))) % 0.72/0.94 (step @p126 :rule chain_m_resolution :premises (@p125 @p123) :args (@t87 @t66 @t93)) % 0.72/0.94 (step @p127 :rule trans :premises (@p126 @p97)) % 0.72/0.94 (step @p128 :rule cnf_and_pos :args (@t90 1)) % 0.72/0.94 (step @p129 :rule reordering :premises (@p128) :args ((or @t88 @t92))) % 0.72/0.94 (step @p130 :rule chain_m_resolution :premises (@p129 @p123) :args (@t88 @t66 @t93)) % 0.72/0.94 (step @p131 :rule cnf_and_pos :args (@t90 0)) % 0.72/0.94 (step @p132 :rule reordering :premises (@p131) :args ((or @t89 @t92))) % 0.72/0.94 (step @p133 :rule chain_m_resolution :premises (@p132 @p123) :args (@t89 @t66 @t93)) % 0.72/0.94 (step @p134 :rule cnf_and_neg :args (@t95)) % 0.72/0.94 (step @p135 :rule reordering :premises (@p134) :args ((or (not @t89) (not @t88) @t95 (not @t94)))) % 0.72/0.94 (step @p136 :rule chain_m_resolution :premises (@p135 @p133 @p130 @p127) :args (@t95 (@list false false false) (@list @t89 @t88 @t94))) % 0.72/0.94 (step @p137 :rule cnf_equiv_pos2 :args (@t96)) % 0.72/0.94 (step @p138 :rule reordering :premises (@p137) :args ((or @t72 (not @t95) (not @t96)))) % 0.72/0.94 (step @p139 :rule chain_m_resolution :premises (@p138 @p136 @p96) :args (@t72 @t67 (@list @t95 @t96))) % 0.72/0.94 (step @p140 :rule cnf_equiv_pos1 :args (@t78)) % 0.72/0.94 (step @p141 :rule reordering :premises (@p140) :args ((or (not @t72) @t77 (not @t78)))) % 0.72/0.94 (step @p142 :rule chain_m_resolution :premises (@p141 @p139 @p87) :args (@t77 @t67 (@list @t72 @t78))) % 0.72/0.94 (step @p143 :rule symm :premises (@p142)) % 0.72/0.94 (step @p144 :rule instantiate :premises (@p45) :args (@t80)) % 0.72/0.94 (step @p145 :rule symm :premises (@p144)) % 0.72/0.94 (step @p146 :rule cong :premises (@p145 @p143) :args ((tptp.addition (tptp.addition @t50 @t50) @t71))) % 0.72/0.94 (step @p147 :rule refl :args (@t71)) % 0.72/0.94 (step @p148 :rule cong :premises (@p144 @p147) :args (@t86)) % 0.72/0.94 (step @p149 :rule trans :premises (@p126 @p148 @p146)) % 0.72/0.94 (step @p150 :rule refl :args (@t49)) % 0.72/0.94 (step @p151 :rule cong :premises (@p150 @p149) :args ((tptp.multiplication @t49 tptp.one))) % 0.72/0.94 (step @p152 :rule eq-symm :args (@t13 @t1)) % 0.72/0.94 (step @p153 :rule cong :premises (@p152) :args (@t14)) % 0.72/0.94 (step @p154 :rule eq_resolve :premises (@p6 @p153)) % 0.72/0.94 (step @p155 :rule instantiate :premises (@p154) :args ((@list @t49))) % 0.72/0.94 (step @p156 :rule trans :premises (@p155 @p151 @p51)) % 0.72/0.94 (step @p157 :rule refl :args (@t52)) % 0.72/0.94 (step @p158 :rule cong :premises (@p157 @p156) :args (@t53)) % 0.72/0.94 (step @p159 :rule trans :premises (@p158 @p50)) % 0.72/0.94 (step @p160 :rule true_elim :premises (@p159)) % 0.72/0.94 (step @p161 :rule cong :premises (@p156 @p157) :args (@t54)) % 0.72/0.94 (step @p162 :rule trans :premises (@p161 @p50)) % 0.72/0.94 (step @p163 :rule true_elim :premises (@p162)) % 0.72/0.94 (step @p164 :rule cnf_and_neg :args (@t55)) % 0.72/0.94 (step @p165 false :rule chain_m_resolution :premises (@p164 @p163 @p160 @p27) :args (false (@list false false true) (@list @t54 @t53 @t55))) % 0.72/0.94 ) % 0.72/0.94 % SZS output end Proof % 0.72/0.94 % cvc5 exiting %------------------------------------------------------------------------------