%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : KLE024+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 : n015.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 17.03s 17.20s % Output : Proof 17.03s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : KLE024+1 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n015.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 05:10:34 EDT 2026 % 0.17/0.34 % CPUTime : % 0.28/0.49 %----Proving TF0_NAR, FOF, or CNF % 17.03/17.20 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 17.03/17.20 --- Run --no-e-matching --full-saturate-quant at 6... % 17.03/17.20 % SZS status Theorem % 17.03/17.20 % SZS output start Proof % 17.03/17.20 ( % 17.03/17.20 (declare-sort $$unsorted 0) % 17.03/17.20 (declare-const tptp.c (-> $$unsorted $$unsorted)) % 17.03/17.20 (declare-const tptp.test (-> $$unsorted Bool)) % 17.03/17.20 (declare-const tptp.complement (-> $$unsorted $$unsorted Bool)) % 17.03/17.20 (declare-const tptp.multiplication (-> $$unsorted $$unsorted $$unsorted)) % 17.03/17.20 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 17.03/17.20 (declare-const tptp.zero $$unsorted) % 17.03/17.20 (declare-const tptp.one $$unsorted) % 17.03/17.20 (declare-const tptp.addition (-> $$unsorted $$unsorted $$unsorted)) % 17.03/17.20 (define @t1 () (@var "A" $$unsorted)) % 17.03/17.20 (define @t2 () (@var "B" $$unsorted)) % 17.03/17.20 (define @t3 () (tptp.addition @t1 @t2)) % 17.03/17.20 (define @t4 () (@list @t1 @t2)) % 17.03/17.20 (define @t5 () (@var "C" $$unsorted)) % 17.03/17.20 (define @t6 () (tptp.addition @t2 @t5)) % 17.03/17.20 (define @t7 () (tptp.addition @t1 tptp.zero)) % 17.03/17.20 (define @t8 () (@list @t1)) % 17.03/17.20 (define @t9 () (forall @t8 (= @t7 @t1))) % 17.03/17.20 (define @t10 () (tptp.multiplication @t1 @t2)) % 17.03/17.20 (define @t11 () (tptp.multiplication @t2 @t5)) % 17.03/17.20 (define @t12 () (@list @t1 @t2 @t5)) % 17.03/17.20 (define @t13 () (forall @t12 (= (tptp.multiplication @t1 @t11) (tptp.multiplication @t10 @t5)))) % 17.03/17.20 (define @t14 () (tptp.multiplication @t1 @t5)) % 17.03/17.20 (define @t15 () (tptp.multiplication @t1 tptp.zero)) % 17.03/17.20 (define @t16 () (forall @t8 (= @t15 tptp.zero))) % 17.03/17.20 (define @t17 () (tptp.multiplication tptp.zero @t1)) % 17.03/17.20 (define @t18 () (forall @t8 (= @t17 tptp.zero))) % 17.03/17.20 (define @t19 () (@var "X0" $$unsorted)) % 17.03/17.20 (define @t20 () (@var "X1" $$unsorted)) % 17.03/17.20 (define @t21 () (tptp.complement @t20 @t19)) % 17.03/17.20 (define @t22 () (tptp.test @t19)) % 17.03/17.20 (define @t23 () (@list @t19)) % 17.03/17.20 (define @t24 () (tptp.addition @t19 @t20)) % 17.03/17.20 (define @t25 () (tptp.multiplication @t20 @t19)) % 17.03/17.20 (define @t26 () (tptp.multiplication @t19 @t20)) % 17.03/17.20 (define @t27 () (and (= @t26 tptp.zero) (= @t25 tptp.zero) (= @t24 tptp.one))) % 17.03/17.20 (define @t28 () (= @t21 @t27)) % 17.03/17.20 (define @t29 () (@list @t19 @t20)) % 17.03/17.20 (define @t30 () (forall @t29 @t28)) % 17.03/17.20 (define @t31 () (tptp.complement @t19 @t20)) % 17.03/17.20 (define @t32 () (tptp.c @t19)) % 17.03/17.20 (define @t33 () (= (= @t32 @t20) @t31)) % 17.03/17.20 (define @t34 () (=> @t22 @t33)) % 17.03/17.20 (define @t35 () (forall @t29 @t34)) % 17.03/17.20 (define @t36 () (not @t22)) % 17.03/17.20 (define @t37 () (@var "X2" $$unsorted)) % 17.03/17.20 (define @t38 () (tptp.c @t37)) % 17.03/17.20 (define @t39 () (tptp.multiplication @t25 @t38)) % 17.03/17.20 (define @t40 () (tptp.multiplication (tptp.c @t20) @t19)) % 17.03/17.20 (define @t41 () (tptp.addition (tptp.multiplication @t19 @t38) @t40)) % 17.03/17.20 (define @t42 () (=> (= @t41 @t40) (= @t39 tptp.zero))) % 17.03/17.20 (define @t43 () (tptp.test @t37)) % 17.03/17.20 (define @t44 () (tptp.test @t20)) % 17.03/17.20 (define @t45 () (and @t44 @t43)) % 17.03/17.20 (define @t46 () (=> @t45 @t42)) % 17.03/17.20 (define @t47 () (@list @t19 @t20 @t37)) % 17.03/17.20 (define @t48 () (forall @t47 @t46)) % 17.03/17.20 (define @t49 () (not @t48)) % 17.03/17.20 (define @t50 () (= tptp.zero @t39)) % 17.03/17.20 (define @t51 () (= @t40 @t41)) % 17.03/17.20 (define @t52 () (not @t51)) % 17.03/17.20 (define @t53 () (not @t43)) % 17.03/17.20 (define @t54 () (not @t44)) % 17.03/17.20 (define @t55 () (or @t54 @t53 @t52 @t50)) % 17.03/17.20 (define @t56 () (=> @t51 @t50)) % 17.03/17.20 (define @t57 () (forall @t47 @t55)) % 17.03/17.20 (define @t58 () (@quantifiers_skolemize @t57 0)) % 17.03/17.20 (define @t59 () (@quantifiers_skolemize @t57 1)) % 17.03/17.20 (define @t60 () (tptp.c @t59)) % 17.03/17.20 (define @t61 () (tptp.multiplication @t60 @t58)) % 17.03/17.20 (define @t62 () (@quantifiers_skolemize @t57 2)) % 17.03/17.20 (define @t63 () (tptp.c @t62)) % 17.03/17.20 (define @t64 () (tptp.multiplication @t58 @t63)) % 17.03/17.20 (define @t65 () (tptp.addition @t64 @t61)) % 17.03/17.20 (define @t66 () (= @t61 @t65)) % 17.03/17.20 (define @t67 () (tptp.multiplication @t59 @t58)) % 17.03/17.20 (define @t68 () (tptp.multiplication @t67 @t63)) % 17.03/17.20 (define @t69 () (= tptp.zero @t68)) % 17.03/17.20 (define @t70 () (not @t66)) % 17.03/17.20 (define @t71 () (tptp.test @t59)) % 17.03/17.20 (define @t72 () (not @t71)) % 17.03/17.20 (define @t73 () (or @t72 (not (tptp.test @t62)) @t70 @t69)) % 17.03/17.20 (define @t74 () (@list true)) % 17.03/17.20 (define @t75 () (@list @t73)) % 17.03/17.20 (define @t76 () (not @t69)) % 17.03/17.20 (define @t77 () (= @t20 @t32)) % 17.03/17.20 (define @t78 () (= @t31 @t77)) % 17.03/17.20 (define @t79 () (tptp.complement @t59 @t60)) % 17.03/17.20 (define @t80 () (= @t79 (= @t60 @t60))) % 17.03/17.20 (define @t81 () (or @t72 @t80)) % 17.03/17.20 (define @t82 () (forall @t29 (or @t36 @t78))) % 17.03/17.20 (define @t83 () (or @t72 @t79)) % 17.03/17.20 (define @t84 () (@list false)) % 17.03/17.20 (define @t85 () (@list false false)) % 17.03/17.20 (define @t86 () (tptp.multiplication @t59 @t60)) % 17.03/17.20 (define @t87 () (= tptp.zero @t86)) % 17.03/17.20 (define @t88 () (and (= tptp.zero (tptp.multiplication @t60 @t59)) @t87 (= tptp.one (tptp.addition @t60 @t59)))) % 17.03/17.20 (define @t89 () (= @t79 @t88)) % 17.03/17.20 (define @t90 () (tptp.multiplication @t59 @t64)) % 17.03/17.20 (define @t91 () (= @t90 @t68)) % 17.03/17.20 (define @t92 () (= @t68 @t90)) % 17.03/17.20 (define @t93 () (tptp.multiplication @t67 tptp.zero)) % 17.03/17.20 (define @t94 () (tptp.addition @t68 @t93)) % 17.03/17.20 (define @t95 () (tptp.addition @t63 tptp.zero)) % 17.03/17.20 (define @t96 () (tptp.multiplication @t67 @t95)) % 17.03/17.20 (define @t97 () (= @t96 @t94)) % 17.03/17.20 (define @t98 () (not @t97)) % 17.03/17.20 (define @t99 () (tptp.multiplication @t59 @t61)) % 17.03/17.20 (define @t100 () (tptp.multiplication @t59 @t65)) % 17.03/17.20 (define @t101 () (= @t100 (tptp.addition @t90 @t99))) % 17.03/17.20 (define @t102 () (not @t101)) % 17.03/17.20 (define @t103 () (= tptp.zero @t93)) % 17.03/17.20 (define @t104 () (not @t103)) % 17.03/17.20 (define @t105 () (tptp.multiplication @t86 @t58)) % 17.03/17.20 (define @t106 () (= @t99 @t105)) % 17.03/17.20 (define @t107 () (not @t106)) % 17.03/17.20 (define @t108 () (not @t92)) % 17.03/17.20 (define @t109 () (= @t63 @t95)) % 17.03/17.20 (define @t110 () (not @t109)) % 17.03/17.20 (define @t111 () (not @t87)) % 17.03/17.20 (define @t112 () (= tptp.zero (tptp.multiplication tptp.zero @t58))) % 17.03/17.20 (define @t113 () (not @t112)) % 17.03/17.20 (define @t114 () (= @t94 @t96)) % 17.03/17.20 (define @t115 () (not @t114)) % 17.03/17.20 (define @t116 () (and @t97 @t98)) % 17.03/17.20 (assume @p1 (forall @t4 (= @t3 (tptp.addition @t2 @t1)))) % 17.03/17.20 (assume @p2 (forall (@list @t5 @t2 @t1) (= (tptp.addition @t1 @t6) (tptp.addition @t3 @t5)))) % 17.03/17.20 (assume @p3 @t9) % 17.03/17.20 (assume @p4 (forall @t8 (= (tptp.addition @t1 @t1) @t1))) % 17.03/17.20 (assume @p5 @t13) % 17.03/17.20 (assume @p6 (forall @t8 (= (tptp.multiplication @t1 tptp.one) @t1))) % 17.03/17.20 (assume @p7 (forall @t8 (= (tptp.multiplication tptp.one @t1) @t1))) % 17.03/17.20 (assume @p8 (forall @t12 (= (tptp.multiplication @t1 @t6) (tptp.addition @t10 @t14)))) % 17.03/17.20 (assume @p9 (forall @t12 (= (tptp.multiplication @t3 @t5) (tptp.addition @t14 @t11)))) % 17.03/17.20 (assume @p10 @t16) % 17.03/17.20 (assume @p11 @t18) % 17.03/17.20 (assume @p12 (forall @t4 (= (tptp.leq @t1 @t2) (= @t3 @t2)))) % 17.03/17.20 (assume @p13 (forall @t23 (= @t22 (exists (@list @t20) @t21)))) % 17.03/17.20 (assume @p14 @t30) % 17.03/17.20 (assume @p15 @t35) % 17.03/17.20 (assume @p16 (forall @t23 (=> @t36 (= @t32 tptp.zero)))) % 17.03/17.20 (assume @p17 @t49) % 17.03/17.20 (assume @p18 true) % 17.03/17.20 (step @p19 :rule aci_norm :args ((= (or (or @t54 @t53) (or @t52 @t50)) @t55))) % 17.03/17.20 (step @p20 :rule bool-impl-elim :args (@t51 @t50)) % 17.03/17.20 (step @p21 :rule bool-and-de-morgan :args (@t44 @t43 true)) % 17.03/17.20 (step @p22 :rule nary_cong :premises (@p21 @p20) :args ((or (not @t45) @t56))) % 17.03/17.20 (step @p23 :rule trans :premises (@p22 @p19)) % 17.03/17.20 (step @p24 :rule bool-impl-elim :args (@t45 @t56)) % 17.03/17.20 (step @p25 :rule trans :premises (@p24 @p23)) % 17.03/17.20 (step @p26 :rule cong :premises (@p25) :args ((forall @t47 (=> @t45 @t56)))) % 17.03/17.20 (step @p27 :rule eq-symm :args (@t39 tptp.zero)) % 17.03/17.20 (step @p28 :rule eq-symm :args (@t41 @t40)) % 17.03/17.20 (step @p29 :rule cong :premises (@p28 @p27) :args (@t42)) % 17.03/17.20 (step @p30 :rule refl :args (@t45)) % 17.03/17.20 (step @p31 :rule cong :premises (@p30 @p29) :args (@t46)) % 17.03/17.20 (step @p32 :rule cong :premises (@p31) :args (@t48)) % 17.03/17.20 (step @p33 :rule trans :premises (@p32 @p26)) % 17.03/17.20 (step @p34 :rule cong :premises (@p33) :args (@t49)) % 17.03/17.20 (step @p35 :rule eq_resolve :premises (@p17 @p34)) % 17.03/17.20 (step @p36 :rule skolemize :premises (@p35)) % 17.03/17.20 (step @p37 :rule bool-double-not-elim :args (@t66)) % 17.03/17.20 (step @p38 :rule refl :args (@t73)) % 17.03/17.20 (step @p39 :rule nary_cong :premises (@p38 @p37) :args ((or @t73 (not @t70)))) % 17.03/17.20 (step @p40 :rule cnf_or_neg :args (@t73 2)) % 17.03/17.20 (step @p41 :rule eq_resolve :premises (@p40 @p39)) % 17.03/17.20 (step @p42 :rule reordering :premises (@p41) :args ((or @t66 @t73))) % 17.03/17.20 (step @p43 :rule chain_m_resolution :premises (@p42 @p36) :args (@t66 @t74 @t75)) % 17.03/17.20 (step @p44 :rule cnf_or_neg :args (@t73 3)) % 17.03/17.20 (step @p45 :rule chain_m_resolution :premises (@p44 @p36) :args (@t76 @t74 @t75)) % 17.03/17.20 (step @p46 :rule eq-symm :args (@t17 tptp.zero)) % 17.03/17.20 (step @p47 :rule cong :premises (@p46) :args (@t18)) % 17.03/17.20 (step @p48 :rule eq_resolve :premises (@p11 @p47)) % 17.03/17.20 (step @p49 :rule instantiate :premises (@p48) :args ((@list @t58))) % 17.03/17.20 (step @p50 :rule eq-symm :args (@t7 @t1)) % 17.03/17.20 (step @p51 :rule cong :premises (@p50) :args (@t9)) % 17.03/17.20 (step @p52 :rule eq_resolve :premises (@p3 @p51)) % 17.03/17.20 (step @p53 :rule instantiate :premises (@p52) :args ((@list @t63))) % 17.03/17.20 (step @p54 :rule eq-symm :args (@t24 tptp.one)) % 17.03/17.20 (step @p55 :rule eq-symm :args (@t25 tptp.zero)) % 17.03/17.20 (step @p56 :rule eq-symm :args (@t26 tptp.zero)) % 17.03/17.20 (step @p57 :rule nary_cong :premises (@p56 @p55 @p54) :args (@t27)) % 17.03/17.20 (step @p58 :rule refl :args (@t21)) % 17.03/17.20 (step @p59 :rule cong :premises (@p58 @p57) :args (@t28)) % 17.03/17.20 (step @p60 :rule cong :premises (@p59) :args (@t30)) % 17.03/17.20 (step @p61 :rule eq_resolve :premises (@p14 @p60)) % 17.03/17.20 (step @p62 :rule instantiate :premises (@p61) :args ((@list @t60 @t59))) % 17.03/17.20 (step @p63 :rule bool-impl-elim :args (@t22 @t78)) % 17.03/17.20 (step @p64 :rule cong :premises (@p63) :args ((forall @t29 (=> @t22 @t78)))) % 17.03/17.20 (step @p65 :rule eq-symm :args (@t77 @t31)) % 17.03/17.20 (step @p66 :rule refl :args (@t31)) % 17.03/17.20 (step @p67 :rule eq-symm :args (@t32 @t20)) % 17.03/17.20 (step @p68 :rule cong :premises (@p67 @p66) :args (@t33)) % 17.03/17.20 (step @p69 :rule trans :premises (@p68 @p65)) % 17.03/17.20 (step @p70 :rule refl :args (@t22)) % 17.03/17.20 (step @p71 :rule cong :premises (@p70 @p69) :args (@t34)) % 17.03/17.20 (step @p72 :rule cong :premises (@p71) :args (@t35)) % 17.03/17.20 (step @p73 :rule trans :premises (@p72 @p64)) % 17.03/17.20 (step @p74 :rule eq_resolve :premises (@p15 @p73)) % 17.03/17.20 (step @p75 :rule bool-eq-true :args (@t79)) % 17.03/17.20 (step @p76 :rule eq-refl :args (@t60)) % 17.03/17.20 (step @p77 :rule refl :args (@t79)) % 17.03/17.20 (step @p78 :rule cong :premises (@p77 @p76) :args (@t80)) % 17.03/17.20 (step @p79 :rule trans :premises (@p78 @p75)) % 17.03/17.20 (step @p80 :rule refl :args (@t72)) % 17.03/17.20 (step @p81 :rule nary_cong :premises (@p80 @p79) :args (@t81)) % 17.03/17.20 (step @p82 :rule refl :args (@t82)) % 17.03/17.20 (step @p83 :rule cong :premises (@p82 @p81) :args ((=> @t82 @t81))) % 17.03/17.20 (assume-push @p201 @t82) % 17.03/17.20 (step @p85 :rule instantiate :premises (@p74) :args ((@list @t59 @t60))) % 17.03/17.20 (step-pop @p202 :rule scope :premises (@p85)) % 17.03/17.20 (step @p86 :rule process_scope :premises (@p202) :args (@t81)) % 17.03/17.20 (step @p88 :rule eq_resolve :premises (@p86 @p83)) % 17.03/17.20 (step @p89 :rule implies_elim :premises (@p88)) % 17.03/17.20 (step @p90 :rule chain_m_resolution :premises (@p89 @p74) :args (@t83 @t84 (@list @t82))) % 17.03/17.20 (step @p91 :rule bool-double-not-elim :args (@t71)) % 17.03/17.20 (step @p92 :rule nary_cong :premises (@p38 @p91) :args ((or @t73 (not @t72)))) % 17.03/17.20 (step @p93 :rule cnf_or_neg :args (@t73 0)) % 17.03/17.20 (step @p94 :rule eq_resolve :premises (@p93 @p92)) % 17.03/17.20 (step @p95 :rule reordering :premises (@p94) :args ((or @t71 @t73))) % 17.03/17.20 (step @p96 :rule chain_m_resolution :premises (@p95 @p36) :args (@t71 @t74 @t75)) % 17.03/17.20 (step @p97 :rule cnf_or_pos :args (@t83)) % 17.03/17.20 (step @p98 :rule reordering :premises (@p97) :args ((or @t72 @t79 (not @t83)))) % 17.03/17.20 (step @p99 :rule chain_m_resolution :premises (@p98 @p96 @p90) :args (@t79 @t85 (@list @t71 @t83))) % 17.03/17.20 (step @p100 :rule cnf_equiv_pos1 :args (@t89)) % 17.03/17.20 (step @p101 :rule reordering :premises (@p100) :args ((or (not @t79) @t88 (not @t89)))) % 17.03/17.20 (step @p102 :rule chain_m_resolution :premises (@p101 @p99 @p62) :args (@t88 @t85 (@list @t79 @t89))) % 17.03/17.20 (step @p103 :rule cnf_and_pos :args (@t88 1)) % 17.03/17.20 (step @p104 :rule reordering :premises (@p103) :args ((or @t87 (not @t88)))) % 17.03/17.20 (step @p105 :rule chain_m_resolution :premises (@p104 @p102) :args (@t87 @t84 (@list @t88))) % 17.03/17.20 (step @p106 :rule eq-symm :args (@t90 @t68)) % 17.03/17.20 (step @p107 :rule refl :args (@t13)) % 17.03/17.20 (step @p108 :rule cong :premises (@p107 @p106) :args ((=> @t13 @t91))) % 17.03/17.20 (assume-push @p203 @t13) % 17.03/17.20 (step @p110 :rule instantiate :premises (@p5) :args ((@list @t59 @t58 @t63))) % 17.03/17.20 (step-pop @p204 :rule scope :premises (@p110)) % 17.03/17.20 (step @p111 :rule process_scope :premises (@p204) :args (@t91)) % 17.03/17.20 (step @p113 :rule eq_resolve :premises (@p111 @p108)) % 17.03/17.20 (step @p114 :rule implies_elim :premises (@p113)) % 17.03/17.20 (step @p115 :rule chain_m_resolution :premises (@p114 @p5) :args (@t92 @t84 (@list @t13))) % 17.03/17.20 (step @p116 :rule instantiate :premises (@p5) :args ((@list @t59 @t60 @t58))) % 17.03/17.20 (step @p117 :rule eq-symm :args (@t15 tptp.zero)) % 17.03/17.20 (step @p118 :rule cong :premises (@p117) :args (@t16)) % 17.03/17.20 (step @p119 :rule eq_resolve :premises (@p10 @p118)) % 17.03/17.20 (step @p120 :rule instantiate :premises (@p119) :args ((@list @t67))) % 17.03/17.20 (step @p121 :rule instantiate :premises (@p8) :args ((@list @t59 @t64 @t61))) % 17.03/17.20 (step @p122 :rule instantiate :premises (@p8) :args ((@list @t67 @t63 tptp.zero))) % 17.03/17.20 (step @p123 :rule refl :args (@t98)) % 17.03/17.20 (step @p124 :rule refl :args (@t102)) % 17.03/17.20 (step @p125 :rule refl :args (@t104)) % 17.03/17.20 (step @p126 :rule refl :args (@t107)) % 17.03/17.20 (step @p127 :rule refl :args (@t108)) % 17.03/17.20 (step @p128 :rule refl :args (@t110)) % 17.03/17.20 (step @p129 :rule refl :args (@t111)) % 17.03/17.20 (step @p130 :rule refl :args (@t113)) % 17.03/17.20 (step @p131 :rule bool-double-not-elim :args (@t69)) % 17.03/17.20 (step @p132 :rule refl :args (@t70)) % 17.03/17.20 (step @p133 :rule nary_cong :premises (@p132 @p131 @p130 @p129 @p128 @p127 @p126 @p125 @p124 @p123) :args ((or @t70 (not @t76) @t113 @t111 @t110 @t108 @t107 @t104 @t102 @t98))) % 17.03/17.20 (assume-push @p205 @t97) % 17.03/17.20 (assume-push @p206 @t98) % 17.03/17.20 (step @p136 :rule evaluate :args ((= false true))) % 17.03/17.20 (step @p137 :rule true_intro :premises (@p122)) % 17.03/17.20 (step @p138 :rule bool-eq-false :args (@t97)) % 17.03/17.20 (step @p139 :rule symm :premises (@p138)) % 17.03/17.20 (step @p140 :rule eq-symm :args (@t94 @t96)) % 17.03/17.20 (step @p141 :rule cong :premises (@p140) :args (@t115)) % 17.03/17.20 (step @p142 :rule bool-eq-false :args (@t114)) % 17.03/17.20 (step @p143 :rule trans :premises (@p142 @p141)) % 17.03/17.20 (step @p144 :rule trans :premises (@p143 @p139)) % 17.03/17.20 (step @p145 :rule false_intro :premises (@p45)) % 17.03/17.20 (step @p146 :rule symm :premises (@p53)) % 17.03/17.20 (step @p147 :rule refl :args (@t67)) % 17.03/17.20 (step @p148 :rule cong :premises (@p147 @p146) :args (@t96)) % 17.03/17.20 (step @p149 :rule symm :premises (@p49)) % 17.03/17.20 (step @p150 :rule refl :args (@t58)) % 17.03/17.20 (step @p151 :rule symm :premises (@p105)) % 17.03/17.20 (step @p152 :rule cong :premises (@p151 @p150) :args (@t105)) % 17.03/17.20 (step @p153 :rule symm :premises (@p43)) % 17.03/17.20 (step @p154 :rule refl :args (@t59)) % 17.03/17.20 (step @p155 :rule cong :premises (@p154 @p153) :args (@t100)) % 17.03/17.20 (step @p156 :rule symm :premises (@p121)) % 17.03/17.20 (step @p157 :rule symm :premises (@p116)) % 17.03/17.20 (step @p158 :rule symm :premises (@p152)) % 17.03/17.20 (step @p159 :rule symm :premises (@p120)) % 17.03/17.20 (step @p160 :rule trans :premises (@p159 @p49 @p158 @p157)) % 17.03/17.20 (step @p161 :rule cong :premises (@p115 @p160) :args (@t94)) % 17.03/17.20 (step @p162 :rule trans :premises (@p161 @p156 @p155 @p116 @p152 @p149)) % 17.03/17.20 (step @p163 :rule cong :premises (@p162 @p148) :args (@t114)) % 17.03/17.20 (step @p164 :rule trans :premises (@p163 @p145)) % 17.03/17.20 (step @p165 :rule eq_resolve :premises (@p164 @p144)) % 17.03/17.20 (step @p166 :rule symm :premises (@p165)) % 17.03/17.20 (step @p167 :rule trans :premises (@p166 @p137)) % 17.03/17.20 (step @p168 false :rule eq_resolve :premises (@p167 @p136)) % 17.03/17.20 (step-pop @p207 :rule scope :premises (@p168)) % 17.03/17.20 (step-pop @p208 :rule scope :premises (@p207)) % 17.03/17.20 (step @p169 :rule process_scope :premises (@p208) :args (false)) % 17.03/17.20 (assume-push @p209 @t66) % 17.03/17.20 (assume-push @p210 @t76) % 17.03/17.20 (assume-push @p211 @t112) % 17.03/17.20 (assume-push @p212 @t87) % 17.03/17.20 (assume-push @p213 @t109) % 17.03/17.20 (assume-push @p214 @t92) % 17.03/17.20 (assume-push @p215 @t106) % 17.03/17.20 (assume-push @p216 @t103) % 17.03/17.20 (assume-push @p217 @t101) % 17.03/17.20 (assume-push @p218 @t97) % 17.03/17.20 (step @p138 :rule bool-eq-false :args (@t97)) % 17.03/17.20 (step @p139 :rule symm :premises (@p138)) % 17.03/17.20 (step @p140 :rule eq-symm :args (@t94 @t96)) % 17.03/17.20 (step @p141 :rule cong :premises (@p140) :args (@t115)) % 17.03/17.20 (step @p142 :rule bool-eq-false :args (@t114)) % 17.03/17.20 (step @p143 :rule trans :premises (@p142 @p141)) % 17.03/17.20 (step @p144 :rule trans :premises (@p143 @p139)) % 17.03/17.20 (step @p145 :rule false_intro :premises (@p45)) % 17.03/17.20 (step @p146 :rule symm :premises (@p53)) % 17.03/17.20 (step @p147 :rule refl :args (@t67)) % 17.03/17.20 (step @p148 :rule cong :premises (@p147 @p146) :args (@t96)) % 17.03/17.20 (step @p149 :rule symm :premises (@p49)) % 17.03/17.20 (step @p150 :rule refl :args (@t58)) % 17.03/17.20 (step @p151 :rule symm :premises (@p105)) % 17.03/17.20 (step @p152 :rule cong :premises (@p151 @p150) :args (@t105)) % 17.03/17.20 (step @p153 :rule symm :premises (@p43)) % 17.03/17.20 (step @p154 :rule refl :args (@t59)) % 17.03/17.20 (step @p155 :rule cong :premises (@p154 @p153) :args (@t100)) % 17.03/17.20 (step @p156 :rule symm :premises (@p121)) % 17.03/17.20 (step @p157 :rule symm :premises (@p116)) % 17.03/17.20 (step @p158 :rule symm :premises (@p152)) % 17.03/17.20 (step @p159 :rule symm :premises (@p120)) % 17.03/17.20 (step @p160 :rule trans :premises (@p159 @p49 @p158 @p157)) % 17.03/17.20 (step @p161 :rule cong :premises (@p115 @p160) :args (@t94)) % 17.03/17.20 (step @p162 :rule trans :premises (@p161 @p156 @p155 @p116 @p152 @p149)) % 17.03/17.20 (step @p163 :rule cong :premises (@p162 @p148) :args (@t114)) % 17.03/17.20 (step @p164 :rule trans :premises (@p163 @p145)) % 17.03/17.20 (step @p182 :rule eq_resolve :premises (@p164 @p144)) % 17.03/17.20 (step @p183 :rule false_elim :premises (@p182)) % 17.03/17.20 (step @p184 :rule and_intro :premises (@p122 @p183)) % 17.03/17.20 (step-pop @p219 :rule scope :premises (@p184)) % 17.03/17.20 (step-pop @p220 :rule scope :premises (@p219)) % 17.03/17.20 (step-pop @p221 :rule scope :premises (@p220)) % 17.03/17.21 (step-pop @p222 :rule scope :premises (@p221)) % 17.03/17.21 (step-pop @p223 :rule scope :premises (@p222)) % 17.03/17.21 (step-pop @p224 :rule scope :premises (@p223)) % 17.03/17.21 (step-pop @p225 :rule scope :premises (@p224)) % 17.03/17.21 (step-pop @p226 :rule scope :premises (@p225)) % 17.03/17.21 (step-pop @p227 :rule scope :premises (@p226)) % 17.03/17.21 (step-pop @p228 :rule scope :premises (@p227)) % 17.03/17.21 (step @p185 :rule process_scope :premises (@p228) :args (@t116)) % 17.03/17.21 (step @p196 :rule implies_elim :premises (@p185)) % 17.03/17.21 (step @p197 :rule resolution :premises (@p196 @p169) :args (true @t116)) % 17.03/17.21 (step @p198 :rule not_and :premises (@p197)) % 17.03/17.21 (step @p199 :rule eq_resolve :premises (@p198 @p133)) % 17.03/17.21 (step @p200 false :rule chain_m_resolution :premises (@p199 @p122 @p121 @p120 @p116 @p115 @p105 @p53 @p49 @p45 @p43) :args (false (@list false false false false false false false false true false) (@list @t97 @t101 @t103 @t106 @t92 @t87 @t109 @t112 @t69 @t66))) % 17.03/17.21 ) % 17.03/17.21 % SZS output end Proof % 17.03/17.21 % cvc5 exiting %------------------------------------------------------------------------------