%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : KRS267+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 : n020.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 08:29:12 AM UTC 2026 % Result : Theorem 29.64s 29.88s % Output : Proof 29.64s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : KRS267+1 : TPTP v9.2.1. Bugfixed v5.4.0. % 0.13/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.18/0.34 % Computer : n020.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 05:37:55 EDT 2026 % 0.18/0.34 % CPUTime : % 0.31/0.50 %----Proving TF0_NAR, FOF, or CNF % 29.64/29.88 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 29.64/29.88 --- Run --no-e-matching --full-saturate-quant at 6... % 29.64/29.88 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 29.64/29.88 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 29.64/29.88 % SZS status Theorem % 29.64/29.88 % SZS output start Proof % 29.64/29.88 ( % 29.64/29.88 (declare-sort $$unsorted 0) % 29.64/29.88 (declare-const tptp.xora (-> $$unsorted $$unsorted Bool)) % 29.64/29.88 (declare-const tptp.nevera (-> $$unsorted $$unsorted Bool)) % 29.64/29.88 (declare-const tptp.nota (-> $$unsorted $$unsorted Bool)) % 29.64/29.88 (declare-const tptp.mighta (-> $$unsorted $$unsorted Bool)) % 29.64/29.88 (declare-const tptp.noc $$unsorted) % 29.64/29.88 (declare-const tptp.uns $$unsorted) % 29.64/29.88 (declare-const tptp.not (-> $$unsorted $$unsorted)) % 29.64/29.88 (declare-const tptp.tca $$unsorted) % 29.64/29.88 (declare-const tptp.sca $$unsorted) % 29.64/29.88 (declare-const tptp.wth $$unsorted) % 29.64/29.88 (declare-const tptp.unp $$unsorted) % 29.64/29.88 (declare-const tptp.wca $$unsorted) % 29.64/29.88 (declare-const tptp.wec $$unsorted) % 29.64/29.88 (declare-const tptp.sap $$unsorted) % 29.64/29.88 (declare-const tptp.wtc $$unsorted) % 29.64/29.88 (declare-const tptp.model (-> $$unsorted $$unsorted Bool)) % 29.64/29.88 (declare-const tptp.sat $$unsorted) % 29.64/29.88 (declare-const tptp.cax $$unsorted) % 29.64/29.88 (declare-const tptp.eqv $$unsorted) % 29.64/29.88 (declare-const tptp.esa $$unsorted) % 29.64/29.88 (declare-const tptp.csa $$unsorted) % 29.64/29.88 (declare-const tptp.status (-> $$unsorted $$unsorted $$unsorted Bool)) % 29.64/29.88 (declare-const tptp.thm $$unsorted) % 29.64/29.88 (declare-const tptp.isa (-> $$unsorted $$unsorted Bool)) % 29.64/29.88 (declare-const tptp.eth $$unsorted) % 29.64/29.88 (declare-const tptp.tac $$unsorted) % 29.64/29.88 (declare-const tptp.tau $$unsorted) % 29.64/29.88 (define @t1 () (@var "C" $$unsorted)) % 29.64/29.88 (define @t2 () (@var "Ax" $$unsorted)) % 29.64/29.88 (define @t3 () (@var "I2" $$unsorted)) % 29.64/29.88 (define @t4 () (tptp.model @t3 @t1)) % 29.64/29.88 (define @t5 () (@list @t3)) % 29.64/29.88 (define @t6 () (exists @t5 @t4)) % 29.64/29.88 (define @t7 () (@var "I1" $$unsorted)) % 29.64/29.88 (define @t8 () (tptp.model @t7 @t2)) % 29.64/29.88 (define @t9 () (@list @t7)) % 29.64/29.88 (define @t10 () (exists @t9 @t8)) % 29.64/29.88 (define @t11 () (not @t10)) % 29.64/29.88 (define @t12 () (@list @t2 @t1)) % 29.64/29.88 (define @t13 () (tptp.model @t7 @t1)) % 29.64/29.88 (define @t14 () (and @t8 @t13)) % 29.64/29.88 (define @t15 () (exists @t9 @t14)) % 29.64/29.88 (define @t16 () (tptp.status @t2 @t1 tptp.thm)) % 29.64/29.88 (define @t17 () (forall @t9 (=> @t8 @t13))) % 29.64/29.88 (define @t18 () (= @t17 @t16)) % 29.64/29.88 (define @t19 () (forall @t12 @t18)) % 29.64/29.88 (define @t20 () (tptp.model @t3 @t2)) % 29.64/29.88 (define @t21 () (forall @t5 @t4)) % 29.64/29.88 (define @t22 () (@var "I3" $$unsorted)) % 29.64/29.88 (define @t23 () (tptp.model @t22 @t2)) % 29.64/29.88 (define @t24 () (not @t23)) % 29.64/29.88 (define @t25 () (tptp.model @t22 @t1)) % 29.64/29.88 (define @t26 () (@list @t22)) % 29.64/29.88 (define @t27 () (exists @t26 (and @t25 @t24))) % 29.64/29.88 (define @t28 () (forall @t5 (=> @t20 @t4))) % 29.64/29.88 (define @t29 () (not @t20)) % 29.64/29.88 (define @t30 () (exists @t5 @t29)) % 29.64/29.88 (define @t31 () (@var "I4" $$unsorted)) % 29.64/29.88 (define @t32 () (exists (@list @t31) (not (tptp.model @t31 @t1)))) % 29.64/29.88 (define @t33 () (tptp.status @t2 @t1 tptp.tca)) % 29.64/29.88 (define @t34 () (and @t11 @t21)) % 29.64/29.88 (define @t35 () (= @t34 @t33)) % 29.64/29.88 (define @t36 () (forall @t12 @t35)) % 29.64/29.88 (define @t37 () (tptp.not @t1)) % 29.64/29.88 (define @t38 () (tptp.model @t3 @t37)) % 29.64/29.88 (define @t39 () (@var "S2" $$unsorted)) % 29.64/29.88 (define @t40 () (@var "S1" $$unsorted)) % 29.64/29.88 (define @t41 () (tptp.mighta @t40 @t39)) % 29.64/29.88 (define @t42 () (tptp.status @t2 @t1 @t39)) % 29.64/29.88 (define @t43 () (tptp.status @t2 @t1 @t40)) % 29.64/29.88 (define @t44 () (and @t43 @t42)) % 29.64/29.88 (define @t45 () (exists @t12 @t44)) % 29.64/29.88 (define @t46 () (= @t45 @t41)) % 29.64/29.88 (define @t47 () (@list @t40 @t39)) % 29.64/29.88 (define @t48 () (forall @t47 @t46)) % 29.64/29.88 (define @t49 () (not @t42)) % 29.64/29.88 (define @t50 () (@var "F" $$unsorted)) % 29.64/29.88 (define @t51 () (@var "I" $$unsorted)) % 29.64/29.88 (define @t52 () (tptp.model @t51 (tptp.not @t50))) % 29.64/29.88 (define @t53 () (tptp.model @t51 @t50)) % 29.64/29.88 (define @t54 () (@list @t51 @t50)) % 29.64/29.88 (define @t55 () (@list @t51)) % 29.64/29.88 (define @t56 () (forall @t55 @t53)) % 29.64/29.88 (define @t57 () (@list @t50)) % 29.64/29.88 (define @t58 () (exists @t57 @t56)) % 29.64/29.88 (define @t59 () (forall @t55 (not @t53))) % 29.64/29.88 (define @t60 () (exists @t57 @t59)) % 29.64/29.88 (define @t61 () (tptp.mighta tptp.tca tptp.thm)) % 29.64/29.88 (define @t62 () (forall @t12 (not @t44))) % 29.64/29.88 (define @t63 () (not @t62)) % 29.64/29.88 (define @t64 () (forall @t12 (or (not @t33) (not @t16)))) % 29.64/29.88 (define @t65 () (not @t64)) % 29.64/29.88 (define @t66 () (= @t61 @t65)) % 29.64/29.88 (define @t67 () (not @t66)) % 29.64/29.88 (define @t68 () (@list true false)) % 29.64/29.88 (define @t69 () (not @t8)) % 29.64/29.88 (define @t70 () (forall @t9 @t69)) % 29.64/29.88 (define @t71 () (forall @t57 (not @t56))) % 29.64/29.88 (define @t72 () (@quantifiers_skolemize @t71 0)) % 29.64/29.88 (define @t73 () (forall @t57 (not @t59))) % 29.64/29.88 (define @t74 () (@quantifiers_skolemize @t73 0)) % 29.64/29.88 (define @t75 () (@list @t74 @t72)) % 29.64/29.88 (define @t76 () (not @t71)) % 29.64/29.88 (define @t77 () (forall @t55 (tptp.model @t51 @t72))) % 29.64/29.88 (define @t78 () (not (not @t77))) % 29.64/29.88 (define @t79 () (@list true)) % 29.64/29.88 (define @t80 () (@list @t51)) % 29.64/29.88 (define @t81 () (forall @t5 (tptp.model @t3 @t72))) % 29.64/29.88 (define @t82 () (@list false)) % 29.64/29.88 (define @t83 () (not @t73)) % 29.64/29.88 (define @t84 () (forall @t55 (not (tptp.model @t51 @t74)))) % 29.64/29.88 (define @t85 () (not (not @t84))) % 29.64/29.88 (define @t86 () (not (tptp.model @t7 @t74))) % 29.64/29.88 (define @t87 () (forall @t9 @t86)) % 29.64/29.88 (define @t88 () (and @t87 @t81)) % 29.64/29.88 (define @t89 () (@list false false)) % 29.64/29.88 (define @t90 () (tptp.status @t74 @t72 tptp.tca)) % 29.64/29.88 (define @t91 () (= @t90 @t88)) % 29.64/29.88 (define @t92 () (forall @t9 (or @t86 (tptp.model @t7 @t72)))) % 29.64/29.88 (define @t93 () (@quantifiers_skolemize @t92 0)) % 29.64/29.88 (define @t94 () (tptp.model @t93 @t72)) % 29.64/29.88 (define @t95 () (or (not (tptp.model @t93 @t74)) @t94)) % 29.64/29.88 (define @t96 () (not @t95)) % 29.64/29.88 (define @t97 () (not @t92)) % 29.64/29.88 (define @t98 () (tptp.status @t74 @t72 tptp.thm)) % 29.64/29.88 (define @t99 () (= @t98 @t92)) % 29.64/29.88 (define @t100 () (not @t98)) % 29.64/29.88 (define @t101 () (not @t90)) % 29.64/29.88 (define @t102 () (or @t101 @t100)) % 29.64/29.88 (define @t103 () (not @t102)) % 29.64/29.88 (assume @p1 (forall @t12 (= (=> @t11 (not @t6)) (tptp.status @t2 @t1 tptp.unp)))) % 29.64/29.88 (assume @p2 (forall @t12 (= (=> @t10 @t6) (tptp.status @t2 @t1 tptp.sap)))) % 29.64/29.88 (assume @p3 (forall @t12 (= (= @t10 @t6) (tptp.status @t2 @t1 tptp.esa)))) % 29.64/29.88 (assume @p4 (forall @t12 (= @t15 (tptp.status @t2 @t1 tptp.sat)))) % 29.64/29.88 (assume @p5 @t19) % 29.64/29.88 (assume @p6 (forall @t12 (= (and @t10 (forall @t5 (= @t20 @t4))) (tptp.status @t2 @t1 tptp.eqv)))) % 29.64/29.88 (assume @p7 (forall @t12 (= (and @t10 @t21) (tptp.status @t2 @t1 tptp.tac)))) % 29.64/29.88 (assume @p8 (forall @t12 (= (and @t10 @t28 @t27) (tptp.status @t2 @t1 tptp.wec)))) % 29.64/29.88 (assume @p9 (forall @t12 (= (and @t10 @t30 (forall @t26 (= @t23 @t25))) (tptp.status @t2 @t1 tptp.eth)))) % 29.64/29.88 (assume @p10 (forall @t12 (= (forall @t9 @t14) (tptp.status @t2 @t1 tptp.tau)))) % 29.64/29.88 (assume @p11 (forall @t12 (= (and @t10 @t30 (forall @t26 @t25)) (tptp.status @t2 @t1 tptp.wtc)))) % 29.64/29.88 (assume @p12 (forall @t12 (= (and @t10 @t28 @t27 @t32) (tptp.status @t2 @t1 tptp.wth)))) % 29.64/29.88 (assume @p13 (forall @t12 (= @t11 (tptp.status @t2 @t1 tptp.cax)))) % 29.64/29.88 (assume @p14 (forall @t12 (= (and @t11 @t6) (tptp.status @t2 @t1 tptp.sca)))) % 29.64/29.88 (assume @p15 @t36) % 29.64/29.88 (assume @p16 (forall @t12 (= (and @t11 @t6 (exists @t26 (not @t25))) (tptp.status @t2 @t1 tptp.wca)))) % 29.64/29.88 (assume @p17 (forall @t12 (= (exists @t9 (and @t8 (tptp.model @t7 @t37))) (tptp.status @t2 @t1 tptp.csa)))) % 29.64/29.88 (assume @p18 (forall @t12 (= (and (forall @t9 @t8) (forall @t5 @t38)) (tptp.status @t2 @t1 tptp.uns)))) % 29.64/29.88 (assume @p19 (forall @t12 (= (and @t15 (exists @t5 (and @t20 @t38))) (tptp.status @t2 @t1 tptp.noc)))) % 29.64/29.88 (assume @p20 @t48) % 29.64/29.88 (assume @p21 (forall @t47 (= (forall @t12 (=> @t43 @t42)) (tptp.isa @t40 @t39)))) % 29.64/29.88 (assume @p22 (forall @t47 (= (exists @t12 (and @t43 @t49)) (tptp.nota @t40 @t39)))) % 29.64/29.88 (assume @p23 (forall @t47 (= (forall @t12 (=> @t43 @t49)) (tptp.nevera @t40 @t39)))) % 29.64/29.88 (assume @p24 (forall @t47 (= (forall @t12 (xor @t43 @t42)) (tptp.xora @t40 @t39)))) % 29.64/29.88 (assume @p25 (forall @t54 (xor @t53 @t52))) % 29.64/29.88 (assume @p26 (forall @t54 (= @t53 (not @t52)))) % 29.64/29.88 (assume @p27 @t58) % 29.64/29.88 (assume @p28 (exists @t57 (and (exists @t9 (tptp.model @t7 @t50)) (exists @t5 (not (tptp.model @t3 @t50)))))) % 29.64/29.88 (assume @p29 @t60) % 29.64/29.88 (assume @p30 (exists @t12 (and @t15 (exists @t5 (or @t29 (not @t4)))))) % 29.64/29.88 (assume @p31 (exists @t12 (and @t10 @t28 (exists @t26 (and @t24 @t25)) @t32))) % 29.64/29.88 (assume @p32 (exists (@list @t7 @t2 @t1) (and @t8 (not @t13) @t6))) % 29.64/29.88 (assume @p33 (not @t61)) % 29.64/29.88 (assume @p34 true) % 29.64/29.88 (step @p35 :rule eq-symm :args ((not (forall @t12 (or (not @t43) @t49))) @t41)) % 29.64/29.88 (step @p36 :rule refl :args (@t41)) % 29.64/29.88 (step @p37 :rule bool-and-de-morgan :args (@t43 @t42 true)) % 29.64/29.88 (step @p38 :rule cong :premises (@p37) :args (@t62)) % 29.64/29.88 (step @p39 :rule cong :premises (@p38) :args (@t63)) % 29.64/29.88 (step @p40 :rule exists-elim :args ((= @t45 @t63))) % 29.64/29.88 (step @p41 :rule trans :premises (@p40 @p39)) % 29.64/29.88 (step @p42 :rule cong :premises (@p41 @p36) :args (@t46)) % 29.64/29.88 (step @p43 :rule trans :premises (@p42 @p35)) % 29.64/29.88 (step @p44 :rule cong :premises (@p43) :args (@t48)) % 29.64/29.88 (step @p45 :rule eq_resolve :premises (@p20 @p44)) % 29.64/29.88 (step @p46 :rule instantiate :premises (@p45) :args ((@list tptp.tca tptp.thm))) % 29.64/29.88 (step @p47 :rule bool-double-not-elim :args (@t64)) % 29.64/29.88 (step @p48 :rule refl :args (@t61)) % 29.64/29.88 (step @p49 :rule refl :args (@t67)) % 29.64/29.88 (step @p50 :rule nary_cong :premises (@p49 @p48 @p47) :args ((or @t67 @t61 (not @t65)))) % 29.64/29.88 (step @p51 :rule cnf_equiv_pos2 :args (@t66)) % 29.64/29.88 (step @p52 :rule eq_resolve :premises (@p51 @p50)) % 29.64/29.88 (step @p53 :rule reordering :premises (@p52) :args ((or @t61 @t64 @t67))) % 29.64/29.88 (step @p54 :rule chain_m_resolution :premises (@p53 @p33 @p46) :args (@t64 @t68 (@list @t61 @t66))) % 29.64/29.88 (step @p55 :rule eq-symm :args ((and @t70 @t21) @t33)) % 29.64/29.88 (step @p56 :rule refl :args (@t33)) % 29.64/29.88 (step @p57 :rule refl :args (@t21)) % 29.64/29.88 (step @p58 :rule bool-double-not-elim :args (@t70)) % 29.64/29.88 (step @p59 :rule exists-elim :args ((= @t10 (not @t70)))) % 29.64/29.88 (step @p60 :rule cong :premises (@p59) :args (@t11)) % 29.64/29.88 (step @p61 :rule trans :premises (@p60 @p58)) % 29.64/29.88 (step @p62 :rule nary_cong :premises (@p61 @p57) :args (@t34)) % 29.64/29.88 (step @p63 :rule cong :premises (@p62 @p56) :args (@t35)) % 29.64/29.88 (step @p64 :rule trans :premises (@p63 @p55)) % 29.64/29.88 (step @p65 :rule cong :premises (@p64) :args (@t36)) % 29.64/29.88 (step @p66 :rule eq_resolve :premises (@p15 @p65)) % 29.64/29.88 (step @p67 :rule instantiate :premises (@p66) :args (@t75)) % 29.64/29.88 (step @p68 :rule exists-elim :args ((= @t58 @t76))) % 29.64/29.88 (step @p69 :rule eq_resolve :premises (@p27 @p68)) % 29.64/29.88 (step @p70 :rule refl :args (@t77)) % 29.64/29.88 (step @p71 :rule bool-double-not-elim :args (@t71)) % 29.64/29.88 (step @p72 :rule nary_cong :premises (@p71 @p70) :args ((or (not @t76) @t77))) % 29.64/29.88 (step @p73 :rule bool-double-not-elim :args (@t77)) % 29.64/29.88 (step @p74 :rule refl :args (@t76)) % 29.64/29.88 (step @p75 :rule cong :premises (@p74 @p73) :args ((=> @t76 @t78))) % 29.64/29.88 (assume-push @p146 @t76) % 29.64/29.88 (step @p77 :rule skolemize :premises (@p69)) % 29.64/29.88 (step-pop @p147 :rule scope :premises (@p77)) % 29.64/29.88 (step @p78 :rule process_scope :premises (@p147) :args (@t78)) % 29.64/29.88 (step @p80 :rule eq_resolve :premises (@p78 @p75)) % 29.64/29.88 (step @p81 :rule implies_elim :premises (@p80)) % 29.64/29.88 (step @p82 :rule eq_resolve :premises (@p81 @p72)) % 29.64/29.88 (step @p83 :rule chain_m_resolution :premises (@p82 @p69) :args (@t77 @t79 (@list @t71))) % 29.64/29.88 (step @p84 :rule alpha_equiv :args (@t77 @t80 (@list @t3))) % 29.64/29.88 (step @p85 :rule equiv_elim1 :premises (@p84)) % 29.64/29.88 (step @p86 :rule chain_m_resolution :premises (@p85 @p83) :args (@t81 @t82 (@list @t77))) % 29.64/29.88 (step @p87 :rule exists-elim :args ((= @t60 @t83))) % 29.64/29.88 (step @p88 :rule eq_resolve :premises (@p29 @p87)) % 29.64/29.88 (step @p89 :rule refl :args (@t84)) % 29.64/29.88 (step @p90 :rule bool-double-not-elim :args (@t73)) % 29.64/29.88 (step @p91 :rule nary_cong :premises (@p90 @p89) :args ((or (not @t83) @t84))) % 29.64/29.88 (step @p92 :rule bool-double-not-elim :args (@t84)) % 29.64/29.88 (step @p93 :rule refl :args (@t83)) % 29.64/29.88 (step @p94 :rule cong :premises (@p93 @p92) :args ((=> @t83 @t85))) % 29.64/29.88 (assume-push @p148 @t83) % 29.64/29.88 (step @p96 :rule skolemize :premises (@p88)) % 29.64/29.88 (step-pop @p149 :rule scope :premises (@p96)) % 29.64/29.88 (step @p97 :rule process_scope :premises (@p149) :args (@t85)) % 29.64/29.88 (step @p99 :rule eq_resolve :premises (@p97 @p94)) % 29.64/29.88 (step @p100 :rule implies_elim :premises (@p99)) % 29.64/29.88 (step @p101 :rule eq_resolve :premises (@p100 @p91)) % 29.64/29.88 (step @p102 :rule chain_m_resolution :premises (@p101 @p88) :args (@t84 @t79 (@list @t73))) % 29.64/29.88 (step @p103 :rule alpha_equiv :args (@t84 @t80 (@list @t7))) % 29.64/29.88 (step @p104 :rule equiv_elim1 :premises (@p103)) % 29.64/29.88 (step @p105 :rule chain_m_resolution :premises (@p104 @p102) :args (@t87 @t82 (@list @t84))) % 29.64/29.88 (step @p106 :rule cnf_and_neg :args (@t88)) % 29.64/29.88 (step @p107 :rule reordering :premises (@p106) :args ((or (not @t87) (not @t81) @t88))) % 29.64/29.88 (step @p108 :rule chain_m_resolution :premises (@p107 @p105 @p86) :args (@t88 @t89 (@list @t87 @t81))) % 29.64/29.88 (step @p109 :rule cnf_equiv_pos2 :args (@t91)) % 29.64/29.88 (step @p110 :rule reordering :premises (@p109) :args ((or @t90 (not @t88) (not @t91)))) % 29.64/29.88 (step @p111 :rule chain_m_resolution :premises (@p110 @p108 @p67) :args (@t90 @t89 (@list @t88 @t91))) % 29.64/29.88 (step @p112 :rule eq-symm :args ((forall @t9 (or @t69 @t13)) @t16)) % 29.64/29.88 (step @p113 :rule refl :args (@t16)) % 29.64/29.88 (step @p114 :rule bool-impl-elim :args (@t8 @t13)) % 29.64/29.88 (step @p115 :rule cong :premises (@p114) :args (@t17)) % 29.64/29.88 (step @p116 :rule cong :premises (@p115 @p113) :args (@t18)) % 29.64/29.88 (step @p117 :rule trans :premises (@p116 @p112)) % 29.64/29.88 (step @p118 :rule cong :premises (@p117) :args (@t19)) % 29.64/29.88 (step @p119 :rule eq_resolve :premises (@p5 @p118)) % 29.64/29.88 (step @p120 :rule instantiate :premises (@p119) :args (@t75)) % 29.64/29.88 (step @p121 :rule instantiate :premises (@p83) :args ((@list @t93))) % 29.64/29.88 (step @p122 :rule cnf_or_neg :args (@t95 1)) % 29.64/29.88 (step @p123 :rule chain_m_resolution :premises (@p122 @p121) :args (@t95 @t82 (@list @t94))) % 29.64/29.88 (step @p124 :rule refl :args (@t96)) % 29.64/29.88 (step @p125 :rule bool-double-not-elim :args (@t92)) % 29.64/29.88 (step @p126 :rule nary_cong :premises (@p125 @p124) :args ((or (not @t97) @t96))) % 29.64/29.88 (assume-push @p150 @t97) % 29.64/29.88 (step @p128 :rule skolemize :premises (@p150)) % 29.64/29.88 (step-pop @p151 :rule scope :premises (@p128)) % 29.64/29.88 (step @p129 :rule process_scope :premises (@p151) :args (@t96)) % 29.64/29.88 (step @p131 :rule implies_elim :premises (@p129)) % 29.64/29.88 (step @p132 :rule eq_resolve :premises (@p131 @p126)) % 29.64/29.88 (step @p133 :rule chain_m_resolution :premises (@p132 @p123) :args (@t92 @t82 (@list @t95))) % 29.64/29.88 (step @p134 :rule cnf_equiv_pos2 :args (@t99)) % 29.64/29.88 (step @p135 :rule reordering :premises (@p134) :args ((or @t98 @t97 (not @t99)))) % 29.64/29.88 (step @p136 :rule chain_m_resolution :premises (@p135 @p133 @p120) :args (@t98 @t89 (@list @t92 @t99))) % 29.64/29.88 (step @p137 :rule cnf_or_pos :args (@t102)) % 29.64/29.88 (step @p138 :rule reordering :premises (@p137) :args ((or @t100 @t101 @t103))) % 29.64/29.88 (step @p139 :rule chain_m_resolution :premises (@p138 @p136 @p111) :args (@t103 @t89 (@list @t98 @t90))) % 29.64/29.88 (assume-push @p152 @t64) % 29.64/29.88 (step @p141 :rule instantiate :premises (@p54) :args (@t75)) % 29.64/29.88 (step-pop @p153 :rule scope :premises (@p141)) % 29.64/29.88 (step @p142 :rule process_scope :premises (@p153) :args (@t102)) % 29.64/29.88 (step @p144 :rule implies_elim :premises (@p142)) % 29.64/29.88 (step @p145 false :rule chain_m_resolution :premises (@p144 @p139 @p54) :args (false @t68 (@list @t102 @t64))) % 29.64/29.88 ) % 29.64/29.88 % SZS output end Proof % 29.64/29.88 % cvc5 exiting %------------------------------------------------------------------------------