%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : KRS200+1 : TPTP v9.2.1. Bugfixed v5.4.0. % 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 08:29:06 AM UTC 2026 % Result : Theorem 28.01s 28.28s % Output : Proof 28.01s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : KRS200+1 : TPTP v9.2.1. Bugfixed v5.4.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.18/0.34 % Computer : n023.cluster.edu % 0.18/0.34 % Model : x86_64 x86_64 % 0.18/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.34 % Memory : 8042.1875MB % 0.18/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.34 % CPULimit : 300 % 0.18/0.34 % WCLimit : 300 % 0.18/0.34 % DateTime : Tue Jun 2 05:29:43 EDT 2026 % 0.18/0.34 % CPUTime : % 0.29/0.49 %----Proving TF0_NAR, FOF, or CNF % 28.01/28.28 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 28.01/28.28 --- Run --no-e-matching --full-saturate-quant at 6... % 28.01/28.28 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 28.01/28.28 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 28.01/28.28 % SZS status Theorem % 28.01/28.28 % SZS output start Proof % 28.01/28.28 ( % 28.01/28.28 (declare-sort $$unsorted 0) % 28.01/28.28 (declare-const tptp.xora (-> $$unsorted $$unsorted Bool)) % 28.01/28.28 (declare-const tptp.nevera (-> $$unsorted $$unsorted Bool)) % 28.01/28.28 (declare-const tptp.nota (-> $$unsorted $$unsorted Bool)) % 28.01/28.28 (declare-const tptp.mighta (-> $$unsorted $$unsorted Bool)) % 28.01/28.28 (declare-const tptp.noc $$unsorted) % 28.01/28.28 (declare-const tptp.uns $$unsorted) % 28.01/28.28 (declare-const tptp.not (-> $$unsorted $$unsorted)) % 28.01/28.28 (declare-const tptp.tca $$unsorted) % 28.01/28.28 (declare-const tptp.sca $$unsorted) % 28.01/28.28 (declare-const tptp.wth $$unsorted) % 28.01/28.28 (declare-const tptp.unp $$unsorted) % 28.01/28.28 (declare-const tptp.wca $$unsorted) % 28.01/28.28 (declare-const tptp.wec $$unsorted) % 28.01/28.28 (declare-const tptp.sap $$unsorted) % 28.01/28.28 (declare-const tptp.wtc $$unsorted) % 28.01/28.28 (declare-const tptp.model (-> $$unsorted $$unsorted Bool)) % 28.01/28.28 (declare-const tptp.sat $$unsorted) % 28.01/28.28 (declare-const tptp.cax $$unsorted) % 28.01/28.28 (declare-const tptp.eqv $$unsorted) % 28.01/28.28 (declare-const tptp.esa $$unsorted) % 28.01/28.28 (declare-const tptp.csa $$unsorted) % 28.01/28.28 (declare-const tptp.status (-> $$unsorted $$unsorted $$unsorted Bool)) % 28.01/28.28 (declare-const tptp.thm $$unsorted) % 28.01/28.28 (declare-const tptp.isa (-> $$unsorted $$unsorted Bool)) % 28.01/28.28 (declare-const tptp.eth $$unsorted) % 28.01/28.28 (declare-const tptp.tac $$unsorted) % 28.01/28.28 (declare-const tptp.tau $$unsorted) % 28.01/28.28 (define @t1 () (@var "C" $$unsorted)) % 28.01/28.28 (define @t2 () (@var "Ax" $$unsorted)) % 28.01/28.28 (define @t3 () (tptp.status @t2 @t1 tptp.unp)) % 28.01/28.28 (define @t4 () (@var "I2" $$unsorted)) % 28.01/28.28 (define @t5 () (tptp.model @t4 @t1)) % 28.01/28.28 (define @t6 () (@list @t4)) % 28.01/28.28 (define @t7 () (exists @t6 @t5)) % 28.01/28.28 (define @t8 () (not @t7)) % 28.01/28.28 (define @t9 () (@var "I1" $$unsorted)) % 28.01/28.28 (define @t10 () (tptp.model @t9 @t2)) % 28.01/28.28 (define @t11 () (@list @t9)) % 28.01/28.28 (define @t12 () (exists @t11 @t10)) % 28.01/28.28 (define @t13 () (not @t12)) % 28.01/28.28 (define @t14 () (=> @t13 @t8)) % 28.01/28.28 (define @t15 () (= @t14 @t3)) % 28.01/28.28 (define @t16 () (@list @t2 @t1)) % 28.01/28.28 (define @t17 () (forall @t16 @t15)) % 28.01/28.28 (define @t18 () (tptp.model @t9 @t1)) % 28.01/28.28 (define @t19 () (and @t10 @t18)) % 28.01/28.28 (define @t20 () (exists @t11 @t19)) % 28.01/28.28 (define @t21 () (tptp.status @t2 @t1 tptp.thm)) % 28.01/28.28 (define @t22 () (forall @t11 (=> @t10 @t18))) % 28.01/28.28 (define @t23 () (= @t22 @t21)) % 28.01/28.28 (define @t24 () (forall @t16 @t23)) % 28.01/28.28 (define @t25 () (tptp.model @t4 @t2)) % 28.01/28.28 (define @t26 () (forall @t6 @t5)) % 28.01/28.28 (define @t27 () (@var "I3" $$unsorted)) % 28.01/28.28 (define @t28 () (tptp.model @t27 @t2)) % 28.01/28.28 (define @t29 () (not @t28)) % 28.01/28.28 (define @t30 () (tptp.model @t27 @t1)) % 28.01/28.28 (define @t31 () (@list @t27)) % 28.01/28.28 (define @t32 () (exists @t31 (and @t30 @t29))) % 28.01/28.28 (define @t33 () (forall @t6 (=> @t25 @t5))) % 28.01/28.28 (define @t34 () (not @t25)) % 28.01/28.28 (define @t35 () (exists @t6 @t34)) % 28.01/28.28 (define @t36 () (@var "I4" $$unsorted)) % 28.01/28.28 (define @t37 () (exists (@list @t36) (not (tptp.model @t36 @t1)))) % 28.01/28.28 (define @t38 () (tptp.not @t1)) % 28.01/28.28 (define @t39 () (tptp.model @t4 @t38)) % 28.01/28.28 (define @t40 () (@var "S2" $$unsorted)) % 28.01/28.28 (define @t41 () (@var "S1" $$unsorted)) % 28.01/28.28 (define @t42 () (tptp.status @t2 @t1 @t40)) % 28.01/28.28 (define @t43 () (tptp.status @t2 @t1 @t41)) % 28.01/28.28 (define @t44 () (@list @t41 @t40)) % 28.01/28.28 (define @t45 () (tptp.nota @t41 @t40)) % 28.01/28.28 (define @t46 () (not @t42)) % 28.01/28.28 (define @t47 () (and @t43 @t46)) % 28.01/28.28 (define @t48 () (exists @t16 @t47)) % 28.01/28.28 (define @t49 () (= @t48 @t45)) % 28.01/28.28 (define @t50 () (forall @t44 @t49)) % 28.01/28.28 (define @t51 () (@var "F" $$unsorted)) % 28.01/28.28 (define @t52 () (@var "I" $$unsorted)) % 28.01/28.28 (define @t53 () (tptp.model @t52 (tptp.not @t51))) % 28.01/28.28 (define @t54 () (tptp.model @t52 @t51)) % 28.01/28.28 (define @t55 () (@list @t52 @t51)) % 28.01/28.28 (define @t56 () (@list @t52)) % 28.01/28.28 (define @t57 () (forall @t56 @t54)) % 28.01/28.28 (define @t58 () (@list @t51)) % 28.01/28.28 (define @t59 () (exists @t58 @t57)) % 28.01/28.28 (define @t60 () (forall @t56 (not @t54))) % 28.01/28.28 (define @t61 () (exists @t58 @t60)) % 28.01/28.28 (define @t62 () (not @t5)) % 28.01/28.28 (define @t63 () (tptp.nota tptp.unp tptp.thm)) % 28.01/28.28 (define @t64 () (not @t43)) % 28.01/28.28 (define @t65 () (forall @t16 (not @t47))) % 28.01/28.28 (define @t66 () (not @t65)) % 28.01/28.28 (define @t67 () (forall @t16 (or (not @t3) @t21))) % 28.01/28.28 (define @t68 () (not @t67)) % 28.01/28.28 (define @t69 () (= @t63 @t68)) % 28.01/28.28 (define @t70 () (not @t69)) % 28.01/28.28 (define @t71 () (@list true false)) % 28.01/28.28 (define @t72 () (not @t10)) % 28.01/28.28 (define @t73 () (forall @t11 @t72)) % 28.01/28.28 (define @t74 () (forall @t6 @t62)) % 28.01/28.28 (define @t75 () (=> @t73 @t74)) % 28.01/28.28 (define @t76 () (= @t3 @t75)) % 28.01/28.28 (define @t77 () (forall @t58 (not @t60))) % 28.01/28.28 (define @t78 () (@quantifiers_skolemize @t77 0)) % 28.01/28.28 (define @t79 () (forall @t58 (not @t57))) % 28.01/28.28 (define @t80 () (@quantifiers_skolemize @t79 0)) % 28.01/28.28 (define @t81 () (@list @t80 @t78)) % 28.01/28.28 (define @t82 () (not @t77)) % 28.01/28.28 (define @t83 () (forall @t56 (not (tptp.model @t52 @t78)))) % 28.01/28.28 (define @t84 () (not (not @t83))) % 28.01/28.28 (define @t85 () (@list true)) % 28.01/28.28 (define @t86 () (forall @t6 (not (tptp.model @t4 @t78)))) % 28.01/28.28 (define @t87 () (@list false)) % 28.01/28.28 (define @t88 () (not (tptp.model @t9 @t80))) % 28.01/28.28 (define @t89 () (or (not (forall @t11 @t88)) @t86)) % 28.01/28.28 (define @t90 () (tptp.status @t80 @t78 tptp.unp)) % 28.01/28.28 (define @t91 () (= @t90 @t89)) % 28.01/28.28 (define @t92 () (not @t79)) % 28.01/28.28 (define @t93 () (forall @t56 (tptp.model @t52 @t80))) % 28.01/28.28 (define @t94 () (not (not @t93))) % 28.01/28.28 (define @t95 () (@list tptp.unp)) % 28.01/28.28 (define @t96 () (tptp.model tptp.unp @t78)) % 28.01/28.28 (define @t97 () (tptp.model tptp.unp @t80)) % 28.01/28.28 (define @t98 () (not @t97)) % 28.01/28.28 (define @t99 () (or @t98 @t96)) % 28.01/28.28 (define @t100 () (not @t99)) % 28.01/28.28 (define @t101 () (forall @t11 (or @t88 (tptp.model @t9 @t78)))) % 28.01/28.28 (define @t102 () (tptp.status @t80 @t78 tptp.thm)) % 28.01/28.28 (define @t103 () (= @t102 @t101)) % 28.01/28.28 (define @t104 () (not @t102)) % 28.01/28.28 (define @t105 () (not @t90)) % 28.01/28.28 (define @t106 () (or @t105 @t102)) % 28.01/28.28 (define @t107 () (not @t106)) % 28.01/28.28 (assume @p1 @t17) % 28.01/28.28 (assume @p2 (forall @t16 (= (=> @t12 @t7) (tptp.status @t2 @t1 tptp.sap)))) % 28.01/28.28 (assume @p3 (forall @t16 (= (= @t12 @t7) (tptp.status @t2 @t1 tptp.esa)))) % 28.01/28.28 (assume @p4 (forall @t16 (= @t20 (tptp.status @t2 @t1 tptp.sat)))) % 28.01/28.28 (assume @p5 @t24) % 28.01/28.28 (assume @p6 (forall @t16 (= (and @t12 (forall @t6 (= @t25 @t5))) (tptp.status @t2 @t1 tptp.eqv)))) % 28.01/28.28 (assume @p7 (forall @t16 (= (and @t12 @t26) (tptp.status @t2 @t1 tptp.tac)))) % 28.01/28.28 (assume @p8 (forall @t16 (= (and @t12 @t33 @t32) (tptp.status @t2 @t1 tptp.wec)))) % 28.01/28.28 (assume @p9 (forall @t16 (= (and @t12 @t35 (forall @t31 (= @t28 @t30))) (tptp.status @t2 @t1 tptp.eth)))) % 28.01/28.28 (assume @p10 (forall @t16 (= (forall @t11 @t19) (tptp.status @t2 @t1 tptp.tau)))) % 28.01/28.28 (assume @p11 (forall @t16 (= (and @t12 @t35 (forall @t31 @t30)) (tptp.status @t2 @t1 tptp.wtc)))) % 28.01/28.28 (assume @p12 (forall @t16 (= (and @t12 @t33 @t32 @t37) (tptp.status @t2 @t1 tptp.wth)))) % 28.01/28.28 (assume @p13 (forall @t16 (= @t13 (tptp.status @t2 @t1 tptp.cax)))) % 28.01/28.28 (assume @p14 (forall @t16 (= (and @t13 @t7) (tptp.status @t2 @t1 tptp.sca)))) % 28.01/28.28 (assume @p15 (forall @t16 (= (and @t13 @t26) (tptp.status @t2 @t1 tptp.tca)))) % 28.01/28.28 (assume @p16 (forall @t16 (= (and @t13 @t7 (exists @t31 (not @t30))) (tptp.status @t2 @t1 tptp.wca)))) % 28.01/28.28 (assume @p17 (forall @t16 (= (exists @t11 (and @t10 (tptp.model @t9 @t38))) (tptp.status @t2 @t1 tptp.csa)))) % 28.01/28.28 (assume @p18 (forall @t16 (= (and (forall @t11 @t10) (forall @t6 @t39)) (tptp.status @t2 @t1 tptp.uns)))) % 28.01/28.28 (assume @p19 (forall @t16 (= (and @t20 (exists @t6 (and @t25 @t39))) (tptp.status @t2 @t1 tptp.noc)))) % 28.01/28.28 (assume @p20 (forall @t44 (= (exists @t16 (and @t43 @t42)) (tptp.mighta @t41 @t40)))) % 28.01/28.28 (assume @p21 (forall @t44 (= (forall @t16 (=> @t43 @t42)) (tptp.isa @t41 @t40)))) % 28.01/28.28 (assume @p22 @t50) % 28.01/28.28 (assume @p23 (forall @t44 (= (forall @t16 (=> @t43 @t46)) (tptp.nevera @t41 @t40)))) % 28.01/28.28 (assume @p24 (forall @t44 (= (forall @t16 (xor @t43 @t42)) (tptp.xora @t41 @t40)))) % 28.01/28.28 (assume @p25 (forall @t55 (xor @t54 @t53))) % 28.01/28.28 (assume @p26 (forall @t55 (= @t54 (not @t53)))) % 28.01/28.28 (assume @p27 @t59) % 28.01/28.28 (assume @p28 (exists @t58 (and (exists @t11 (tptp.model @t9 @t51)) (exists @t6 (not (tptp.model @t4 @t51)))))) % 28.01/28.28 (assume @p29 @t61) % 28.01/28.28 (assume @p30 (exists @t16 (and @t20 (exists @t6 (or @t34 @t62))))) % 28.01/28.28 (assume @p31 (exists @t16 (and @t12 @t33 (exists @t31 (and @t29 @t30)) @t37))) % 28.01/28.28 (assume @p32 (exists (@list @t9 @t2 @t1) (and @t10 (not @t18) @t7))) % 28.01/28.28 (assume @p33 (not @t63)) % 28.01/28.28 (assume @p34 true) % 28.01/28.28 (step @p35 :rule eq-symm :args ((not (forall @t16 (or @t64 @t42))) @t45)) % 28.01/28.28 (step @p36 :rule refl :args (@t45)) % 28.01/28.28 (step @p37 :rule bool-double-not-elim :args (@t42)) % 28.01/28.28 (step @p38 :rule refl :args (@t64)) % 28.01/28.28 (step @p39 :rule nary_cong :premises (@p38 @p37) :args ((or @t64 (not @t46)))) % 28.01/28.28 (step @p40 :rule bool-and-de-morgan :args (@t43 @t46 true)) % 28.01/28.28 (step @p41 :rule trans :premises (@p40 @p39)) % 28.01/28.28 (step @p42 :rule cong :premises (@p41) :args (@t65)) % 28.01/28.28 (step @p43 :rule cong :premises (@p42) :args (@t66)) % 28.01/28.28 (step @p44 :rule exists-elim :args ((= @t48 @t66))) % 28.01/28.28 (step @p45 :rule trans :premises (@p44 @p43)) % 28.01/28.28 (step @p46 :rule cong :premises (@p45 @p36) :args (@t49)) % 28.01/28.28 (step @p47 :rule trans :premises (@p46 @p35)) % 28.01/28.28 (step @p48 :rule cong :premises (@p47) :args (@t50)) % 28.01/28.28 (step @p49 :rule eq_resolve :premises (@p22 @p48)) % 28.01/28.28 (step @p50 :rule instantiate :premises (@p49) :args ((@list tptp.unp tptp.thm))) % 28.01/28.28 (step @p51 :rule bool-double-not-elim :args (@t67)) % 28.01/28.28 (step @p52 :rule refl :args (@t63)) % 28.01/28.28 (step @p53 :rule refl :args (@t70)) % 28.01/28.28 (step @p54 :rule nary_cong :premises (@p53 @p52 @p51) :args ((or @t70 @t63 (not @t68)))) % 28.01/28.28 (step @p55 :rule cnf_equiv_pos2 :args (@t69)) % 28.01/28.28 (step @p56 :rule eq_resolve :premises (@p55 @p54)) % 28.01/28.28 (step @p57 :rule reordering :premises (@p56) :args ((or @t63 @t67 @t70))) % 28.01/28.28 (step @p58 :rule chain_m_resolution :premises (@p57 @p33 @p50) :args (@t67 @t71 (@list @t63 @t69))) % 28.01/28.28 (step @p59 :rule bool-impl-elim :args (@t73 @t74)) % 28.01/28.28 (step @p60 :rule refl :args (@t3)) % 28.01/28.28 (step @p61 :rule cong :premises (@p60 @p59) :args (@t76)) % 28.01/28.28 (step @p62 :rule cong :premises (@p61) :args ((forall @t16 @t76))) % 28.01/28.28 (step @p63 :rule eq-symm :args (@t75 @t3)) % 28.01/28.28 (step @p64 :rule refl :args (@t3)) % 28.01/28.28 (step @p65 :rule bool-double-not-elim :args (@t74)) % 28.01/28.28 (step @p66 :rule exists-elim :args ((= @t7 (not @t74)))) % 28.01/28.28 (step @p67 :rule cong :premises (@p66) :args (@t8)) % 28.01/28.28 (step @p68 :rule trans :premises (@p67 @p65)) % 28.01/28.28 (step @p69 :rule bool-double-not-elim :args (@t73)) % 28.01/28.28 (step @p70 :rule exists-elim :args ((= @t12 (not @t73)))) % 28.01/28.28 (step @p71 :rule cong :premises (@p70) :args (@t13)) % 28.01/28.28 (step @p72 :rule trans :premises (@p71 @p69)) % 28.01/28.28 (step @p73 :rule cong :premises (@p72 @p68) :args (@t14)) % 28.01/28.28 (step @p74 :rule cong :premises (@p73 @p64) :args (@t15)) % 28.01/28.28 (step @p75 :rule trans :premises (@p74 @p63)) % 28.01/28.28 (step @p76 :rule cong :premises (@p75) :args (@t17)) % 28.01/28.28 (step @p77 :rule trans :premises (@p76 @p62)) % 28.01/28.28 (step @p78 :rule eq_resolve :premises (@p1 @p77)) % 28.01/28.28 (step @p79 :rule instantiate :premises (@p78) :args (@t81)) % 28.01/28.28 (step @p80 :rule exists-elim :args ((= @t61 @t82))) % 28.01/28.28 (step @p81 :rule eq_resolve :premises (@p29 @p80)) % 28.01/28.28 (step @p82 :rule refl :args (@t83)) % 28.01/28.28 (step @p83 :rule bool-double-not-elim :args (@t77)) % 28.01/28.28 (step @p84 :rule nary_cong :premises (@p83 @p82) :args ((or (not @t82) @t83))) % 28.01/28.28 (step @p85 :rule bool-double-not-elim :args (@t83)) % 28.01/28.28 (step @p86 :rule refl :args (@t82)) % 28.01/28.28 (step @p87 :rule cong :premises (@p86 @p85) :args ((=> @t82 @t84))) % 28.01/28.28 (assume-push @p152 @t82) % 28.01/28.28 (step @p89 :rule skolemize :premises (@p81)) % 28.01/28.28 (step-pop @p153 :rule scope :premises (@p89)) % 28.01/28.28 (step @p90 :rule process_scope :premises (@p153) :args (@t84)) % 28.01/28.28 (step @p92 :rule eq_resolve :premises (@p90 @p87)) % 28.01/28.28 (step @p93 :rule implies_elim :premises (@p92)) % 28.01/28.28 (step @p94 :rule eq_resolve :premises (@p93 @p84)) % 28.01/28.28 (step @p95 :rule chain_m_resolution :premises (@p94 @p81) :args (@t83 @t85 (@list @t77))) % 28.01/28.28 (step @p96 :rule alpha_equiv :args (@t83 (@list @t52) (@list @t4))) % 28.01/28.28 (step @p97 :rule equiv_elim1 :premises (@p96)) % 28.01/28.28 (step @p98 :rule chain_m_resolution :premises (@p97 @p95) :args (@t86 @t87 (@list @t83))) % 28.01/28.28 (step @p99 :rule cnf_or_neg :args (@t89 1)) % 28.01/28.28 (step @p100 :rule chain_m_resolution :premises (@p99 @p98) :args (@t89 @t87 (@list @t86))) % 28.01/28.28 (step @p101 :rule cnf_equiv_pos2 :args (@t91)) % 28.01/28.28 (step @p102 :rule reordering :premises (@p101) :args ((or @t90 (not @t89) (not @t91)))) % 28.01/28.28 (step @p103 :rule chain_m_resolution :premises (@p102 @p100 @p79) :args (@t90 (@list false false) (@list @t89 @t91))) % 28.01/28.28 (step @p104 :rule eq-symm :args ((forall @t11 (or @t72 @t18)) @t21)) % 28.01/28.28 (step @p105 :rule refl :args (@t21)) % 28.01/28.28 (step @p106 :rule bool-impl-elim :args (@t10 @t18)) % 28.01/28.28 (step @p107 :rule cong :premises (@p106) :args (@t22)) % 28.01/28.28 (step @p108 :rule cong :premises (@p107 @p105) :args (@t23)) % 28.01/28.28 (step @p109 :rule trans :premises (@p108 @p104)) % 28.01/28.28 (step @p110 :rule cong :premises (@p109) :args (@t24)) % 28.01/28.28 (step @p111 :rule eq_resolve :premises (@p5 @p110)) % 28.01/28.28 (step @p112 :rule instantiate :premises (@p111) :args (@t81)) % 28.01/28.28 (step @p113 :rule exists-elim :args ((= @t59 @t92))) % 28.01/28.28 (step @p114 :rule eq_resolve :premises (@p27 @p113)) % 28.01/28.28 (step @p115 :rule refl :args (@t93)) % 28.01/28.28 (step @p116 :rule bool-double-not-elim :args (@t79)) % 28.01/28.28 (step @p117 :rule nary_cong :premises (@p116 @p115) :args ((or (not @t92) @t93))) % 28.01/28.28 (step @p118 :rule bool-double-not-elim :args (@t93)) % 28.01/28.28 (step @p119 :rule refl :args (@t92)) % 28.01/28.28 (step @p120 :rule cong :premises (@p119 @p118) :args ((=> @t92 @t94))) % 28.01/28.28 (assume-push @p154 @t92) % 28.01/28.28 (step @p122 :rule skolemize :premises (@p114)) % 28.01/28.28 (step-pop @p155 :rule scope :premises (@p122)) % 28.01/28.28 (step @p123 :rule process_scope :premises (@p155) :args (@t94)) % 28.01/28.28 (step @p125 :rule eq_resolve :premises (@p123 @p120)) % 28.01/28.28 (step @p126 :rule implies_elim :premises (@p125)) % 28.01/28.28 (step @p127 :rule eq_resolve :premises (@p126 @p117)) % 28.01/28.28 (step @p128 :rule chain_m_resolution :premises (@p127 @p114) :args (@t93 @t85 (@list @t79))) % 28.01/28.28 (step @p129 :rule instantiate :premises (@p128) :args (@t95)) % 28.01/28.28 (step @p130 :rule instantiate :premises (@p95) :args (@t95)) % 28.01/28.28 (step @p131 :rule cnf_or_pos :args (@t99)) % 28.01/28.28 (step @p132 :rule reordering :premises (@p131) :args ((or @t96 @t98 @t100))) % 28.01/28.28 (step @p133 :rule chain_m_resolution :premises (@p132 @p130 @p129) :args (@t100 @t71 (@list @t96 @t97))) % 28.01/28.28 (assume-push @p156 @t101) % 28.01/28.28 (step @p135 :rule instantiate :premises (@p156) :args (@t95)) % 28.01/28.28 (step-pop @p157 :rule scope :premises (@p135)) % 28.01/28.28 (step @p136 :rule process_scope :premises (@p157) :args (@t99)) % 28.01/28.28 (step @p138 :rule implies_elim :premises (@p136)) % 28.01/28.28 (step @p139 :rule chain_m_resolution :premises (@p138 @p133) :args ((not @t101) @t85 (@list @t99))) % 28.01/28.28 (step @p140 :rule cnf_equiv_pos1 :args (@t103)) % 28.01/28.28 (step @p141 :rule reordering :premises (@p140) :args ((or @t101 @t104 (not @t103)))) % 28.01/28.28 (step @p142 :rule chain_m_resolution :premises (@p141 @p139 @p112) :args (@t104 @t71 (@list @t101 @t103))) % 28.01/28.28 (step @p143 :rule cnf_or_pos :args (@t106)) % 28.01/28.28 (step @p144 :rule reordering :premises (@p143) :args ((or @t102 @t105 @t107))) % 28.01/28.28 (step @p145 :rule chain_m_resolution :premises (@p144 @p142 @p103) :args (@t107 @t71 (@list @t102 @t90))) % 28.01/28.28 (assume-push @p158 @t67) % 28.01/28.28 (step @p147 :rule instantiate :premises (@p58) :args (@t81)) % 28.01/28.28 (step-pop @p159 :rule scope :premises (@p147)) % 28.01/28.28 (step @p148 :rule process_scope :premises (@p159) :args (@t106)) % 28.01/28.28 (step @p150 :rule implies_elim :premises (@p148)) % 28.01/28.28 (step @p151 false :rule chain_m_resolution :premises (@p150 @p145 @p58) :args (false @t71 (@list @t106 @t67))) % 28.01/28.28 ) % 28.01/28.28 % SZS output end Proof % 28.01/28.28 % cvc5 exiting %------------------------------------------------------------------------------