%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : KRS180+1 : TPTP v9.2.1. Bugfixed v5.4.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n024.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 08:29:04 AM UTC 2026 % Result : Theorem 0.14s 0.38s % Output : Proof 0.14s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : KRS180+1 : TPTP v9.2.1. Bugfixed v5.4.0. % 0.00/0.07 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.06/0.25 % Computer : n024.cluster.edu % 0.06/0.25 % Model : x86_64 x86_64 % 0.06/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.06/0.25 % Memory : 8042.1875MB % 0.06/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.06/0.25 % CPULimit : 300 % 0.06/0.25 % WCLimit : 300 % 0.06/0.25 % DateTime : Tue Jun 2 00:28:30 EDT 2026 % 0.06/0.25 % CPUTime : % 0.14/0.34 %----Proving TF0_NAR, FOF, or CNF % 0.14/0.38 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.14/0.38 % SZS status Theorem % 0.14/0.38 % SZS output start Proof % 0.14/0.38 ( % 0.14/0.38 (declare-sort $$unsorted 0) % 0.14/0.38 (declare-const tptp.model (-> $$unsorted $$unsorted Bool)) % 0.14/0.38 (declare-const tptp.not (-> $$unsorted $$unsorted)) % 0.14/0.38 (declare-const tptp.xora (-> $$unsorted $$unsorted Bool)) % 0.14/0.38 (declare-const tptp.nota (-> $$unsorted $$unsorted Bool)) % 0.14/0.38 (declare-const tptp.nevera (-> $$unsorted $$unsorted Bool)) % 0.14/0.38 (declare-const tptp.isa (-> $$unsorted $$unsorted Bool)) % 0.14/0.38 (declare-const tptp.status (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.14/0.38 (declare-const tptp.mighta (-> $$unsorted $$unsorted Bool)) % 0.14/0.38 (define @t1 () (@var "S2" $$unsorted)) % 0.14/0.38 (define @t2 () (@var "S1" $$unsorted)) % 0.14/0.38 (define @t3 () (@var "C" $$unsorted)) % 0.14/0.38 (define @t4 () (@var "Ax" $$unsorted)) % 0.14/0.38 (define @t5 () (tptp.status @t4 @t3 @t1)) % 0.14/0.38 (define @t6 () (tptp.status @t4 @t3 @t2)) % 0.14/0.38 (define @t7 () (@list @t4 @t3)) % 0.14/0.38 (define @t8 () (@list @t2 @t1)) % 0.14/0.38 (define @t9 () (tptp.isa @t2 @t1)) % 0.14/0.38 (define @t10 () (forall @t7 (=> @t6 @t5))) % 0.14/0.38 (define @t11 () (= @t10 @t9)) % 0.14/0.38 (define @t12 () (forall @t8 @t11)) % 0.14/0.38 (define @t13 () (tptp.nota @t2 @t1)) % 0.14/0.38 (define @t14 () (not @t5)) % 0.14/0.38 (define @t15 () (and @t6 @t14)) % 0.14/0.38 (define @t16 () (exists @t7 @t15)) % 0.14/0.38 (define @t17 () (= @t16 @t13)) % 0.14/0.38 (define @t18 () (forall @t8 @t17)) % 0.14/0.38 (define @t19 () (tptp.nevera @t2 @t1)) % 0.14/0.38 (define @t20 () (forall @t7 (=> @t6 @t14))) % 0.14/0.38 (define @t21 () (= @t20 @t19)) % 0.14/0.38 (define @t22 () (forall @t8 @t21)) % 0.14/0.38 (define @t23 () (tptp.xora @t2 @t1)) % 0.14/0.38 (define @t24 () (forall @t7 (xor @t6 @t5))) % 0.14/0.38 (define @t25 () (= @t24 @t23)) % 0.14/0.38 (define @t26 () (forall @t8 @t25)) % 0.14/0.38 (define @t27 () (@var "F" $$unsorted)) % 0.14/0.38 (define @t28 () (@var "I" $$unsorted)) % 0.14/0.38 (define @t29 () (tptp.model @t28 (tptp.not @t27))) % 0.14/0.38 (define @t30 () (tptp.model @t28 @t27)) % 0.14/0.38 (define @t31 () (@list @t28 @t27)) % 0.14/0.38 (define @t32 () (@list @t28)) % 0.14/0.38 (define @t33 () (@list @t27)) % 0.14/0.38 (define @t34 () (@var "I2" $$unsorted)) % 0.14/0.38 (define @t35 () (@list @t34)) % 0.14/0.38 (define @t36 () (@var "I1" $$unsorted)) % 0.14/0.38 (define @t37 () (@list @t36)) % 0.14/0.38 (define @t38 () (tptp.model @t34 @t3)) % 0.14/0.38 (define @t39 () (tptp.model @t34 @t4)) % 0.14/0.38 (define @t40 () (tptp.model @t36 @t3)) % 0.14/0.38 (define @t41 () (tptp.model @t36 @t4)) % 0.14/0.38 (define @t42 () (@var "I4" $$unsorted)) % 0.14/0.38 (define @t43 () (@var "I3" $$unsorted)) % 0.14/0.38 (define @t44 () (or @t13 @t19 @t23)) % 0.14/0.38 (define @t45 () (and @t9 @t44)) % 0.14/0.38 (define @t46 () (not @t45)) % 0.14/0.38 (define @t47 () (=> @t6 @t46)) % 0.14/0.38 (define @t48 () (exists @t7 @t47)) % 0.14/0.38 (define @t49 () (forall @t8 @t48)) % 0.14/0.38 (define @t50 () (not @t49)) % 0.14/0.38 (define @t51 () (not @t6)) % 0.14/0.38 (define @t52 () (forall @t7 (or @t51 @t5))) % 0.14/0.38 (define @t53 () (not @t23)) % 0.14/0.38 (define @t54 () (not @t19)) % 0.14/0.38 (define @t55 () (not @t13)) % 0.14/0.38 (define @t56 () (and @t55 @t54 @t53)) % 0.14/0.38 (define @t57 () (not @t9)) % 0.14/0.38 (define @t58 () (@var "BOUND_VARIABLE_7720" $$unsorted)) % 0.14/0.38 (define @t59 () (@var "BOUND_VARIABLE_7718" $$unsorted)) % 0.14/0.38 (define @t60 () (@list @t59 @t58)) % 0.14/0.38 (define @t61 () (forall @t60 (tptp.status @t59 @t58 @t2))) % 0.14/0.38 (define @t62 () (not @t61)) % 0.14/0.38 (define @t63 () (forall @t8 (or @t62 @t57 @t56))) % 0.14/0.38 (define @t64 () (@quantifiers_skolemize @t63 1)) % 0.14/0.38 (define @t65 () (@quantifiers_skolemize @t63 0)) % 0.14/0.38 (define @t66 () (@list @t65 @t64)) % 0.14/0.38 (define @t67 () (not @t44)) % 0.14/0.38 (define @t68 () (or @t62 @t57 @t67)) % 0.14/0.38 (define @t69 () (forall @t7 @t44)) % 0.14/0.38 (define @t70 () (forall @t7 @t9)) % 0.14/0.38 (define @t71 () (forall @t7 @t6)) % 0.14/0.38 (define @t72 () (and @t71 @t70 @t69)) % 0.14/0.38 (define @t73 () (and @t6 @t9 @t44)) % 0.14/0.38 (define @t74 () (forall @t7 (not @t47))) % 0.14/0.38 (define @t75 () (not @t74)) % 0.14/0.38 (define @t76 () (tptp.isa @t65 @t64)) % 0.14/0.38 (define @t77 () (tptp.xora @t65 @t64)) % 0.14/0.38 (define @t78 () (not @t77)) % 0.14/0.38 (define @t79 () (tptp.nevera @t65 @t64)) % 0.14/0.38 (define @t80 () (not @t79)) % 0.14/0.38 (define @t81 () (tptp.nota @t65 @t64)) % 0.14/0.38 (define @t82 () (not @t81)) % 0.14/0.38 (define @t83 () (and @t82 @t80 @t78)) % 0.14/0.38 (define @t84 () (not @t76)) % 0.14/0.38 (define @t85 () (forall @t60 (tptp.status @t59 @t58 @t65))) % 0.14/0.38 (define @t86 () (not @t85)) % 0.14/0.38 (define @t87 () (or @t86 @t84 @t83)) % 0.14/0.38 (define @t88 () (@list true)) % 0.14/0.38 (define @t89 () (@list @t87)) % 0.14/0.38 (define @t90 () (tptp.status @t4 @t3 @t64)) % 0.14/0.38 (define @t91 () (not (tptp.status @t4 @t3 @t65))) % 0.14/0.38 (define @t92 () (forall @t7 (or @t91 @t90))) % 0.14/0.38 (define @t93 () (= @t76 @t92)) % 0.14/0.38 (define @t94 () (@list false false)) % 0.14/0.38 (define @t95 () (forall @t7 (= @t5 @t51))) % 0.14/0.38 (define @t96 () (forall @t7 (= @t90 @t91))) % 0.14/0.38 (define @t97 () (= @t77 @t96)) % 0.14/0.38 (define @t98 () (forall @t8 (= @t23 @t95))) % 0.14/0.38 (define @t99 () (forall @t7 (= @t91 @t90))) % 0.14/0.38 (define @t100 () (= @t77 @t99)) % 0.14/0.38 (define @t101 () (@list false)) % 0.14/0.38 (define @t102 () (not @t100)) % 0.14/0.38 (define @t103 () (not @t99)) % 0.14/0.38 (define @t104 () (forall @t7 (not @t15))) % 0.14/0.38 (define @t105 () (not @t104)) % 0.14/0.38 (define @t106 () (not @t92)) % 0.14/0.38 (define @t107 () (= @t81 @t106)) % 0.14/0.38 (define @t108 () (@quantifiers_skolemize @t99 1)) % 0.14/0.38 (define @t109 () (@quantifiers_skolemize @t99 0)) % 0.14/0.38 (define @t110 () (tptp.status @t109 @t108 @t64)) % 0.14/0.38 (define @t111 () (tptp.status @t109 @t108 @t65)) % 0.14/0.38 (define @t112 () (not @t111)) % 0.14/0.38 (define @t113 () (= @t112 @t110)) % 0.14/0.38 (define @t114 () (not @t113)) % 0.14/0.38 (define @t115 () (forall @t7 (or @t91 (not @t90)))) % 0.14/0.38 (define @t116 () (= @t79 @t115)) % 0.14/0.38 (define @t117 () (@list @t109 @t108)) % 0.14/0.38 (define @t118 () (not @t110)) % 0.14/0.38 (define @t119 () (or @t112 @t118)) % 0.14/0.38 (define @t120 () (or @t112 @t110)) % 0.14/0.38 (define @t121 () (not @t120)) % 0.14/0.38 (assume @p1 (forall @t8 (= (exists @t7 (and @t6 @t5)) (tptp.mighta @t2 @t1)))) % 0.14/0.38 (assume @p2 @t12) % 0.14/0.38 (assume @p3 @t18) % 0.14/0.38 (assume @p4 @t22) % 0.14/0.38 (assume @p5 @t26) % 0.14/0.38 (assume @p6 (forall @t31 (xor @t30 @t29))) % 0.14/0.38 (assume @p7 (forall @t31 (= @t30 (not @t29)))) % 0.14/0.38 (assume @p8 (exists @t33 (forall @t32 @t30))) % 0.14/0.38 (assume @p9 (exists @t33 (and (exists @t37 (tptp.model @t36 @t27)) (exists @t35 (not (tptp.model @t34 @t27)))))) % 0.14/0.38 (assume @p10 (exists @t33 (forall @t32 (not @t30)))) % 0.14/0.38 (assume @p11 (exists @t7 (and (exists @t37 (and @t41 @t40)) (exists @t35 (or (not @t39) (not @t38)))))) % 0.14/0.38 (assume @p12 (exists @t7 (and (exists @t37 @t41) (forall @t35 (=> @t39 @t38)) (exists (@list @t43) (and (not (tptp.model @t43 @t4)) (tptp.model @t43 @t3))) (exists (@list @t42) (not (tptp.model @t42 @t3)))))) % 0.14/0.38 (assume @p13 (exists (@list @t36 @t4 @t3) (and @t41 (not @t40) (exists @t35 @t38)))) % 0.14/0.38 (assume @p14 @t50) % 0.14/0.38 (assume @p15 true) % 0.14/0.38 (step @p16 :rule eq-symm :args (@t52 @t9)) % 0.14/0.38 (step @p17 :rule refl :args (@t9)) % 0.14/0.38 (step @p18 :rule bool-impl-elim :args (@t6 @t5)) % 0.14/0.38 (step @p19 :rule cong :premises (@p18) :args (@t10)) % 0.14/0.38 (step @p20 :rule cong :premises (@p19 @p17) :args (@t11)) % 0.14/0.38 (step @p21 :rule trans :premises (@p20 @p16)) % 0.14/0.38 (step @p22 :rule cong :premises (@p21) :args (@t12)) % 0.14/0.38 (step @p23 :rule eq_resolve :premises (@p2 @p22)) % 0.14/0.38 (step @p24 :rule instantiate :premises (@p23) :args (@t66)) % 0.14/0.38 (step @p25 :rule aci_norm :args ((= (and @t55 (and @t54 @t53)) @t56))) % 0.14/0.38 (step @p26 :rule bool-or-de-morgan :args (@t19 @t23 false)) % 0.14/0.38 (step @p27 :rule refl :args (@t55)) % 0.14/0.38 (step @p28 :rule nary_cong :premises (@p27 @p26) :args ((and @t55 (not (or @t19 @t23))))) % 0.14/0.38 (step @p29 :rule bool-or-de-morgan :args (@t13 @t19 (or @t23))) % 0.14/0.38 (step @p30 :rule trans :premises (@p29 @p28)) % 0.14/0.38 (step @p31 :rule trans :premises (@p30 @p25)) % 0.14/0.38 (step @p32 :rule refl :args (@t57)) % 0.14/0.38 (step @p33 :rule refl :args (@t62)) % 0.14/0.38 (step @p34 :rule nary_cong :premises (@p33 @p32 @p31) :args (@t68)) % 0.14/0.38 (step @p35 :rule aci_norm :args ((= (or @t62 (or @t57 @t67)) @t68))) % 0.14/0.38 (step @p36 :rule bool-and-de-morgan :args (@t9 @t44 true)) % 0.14/0.38 (step @p37 :rule nary_cong :premises (@p33 @p36) :args ((or @t62 @t46))) % 0.14/0.38 (step @p38 :rule bool-and-de-morgan :args (@t61 @t9 (and @t44))) % 0.14/0.38 (step @p39 :rule trans :premises (@p38 @p37)) % 0.14/0.38 (step @p40 :rule trans :premises (@p39 @p35)) % 0.14/0.38 (step @p41 :rule trans :premises (@p40 @p34)) % 0.14/0.38 (step @p42 :rule cong :premises (@p41) :args ((forall @t8 (not (and @t61 @t9 @t44))))) % 0.14/0.38 (step @p43 :rule quant-unused-vars :args ((= @t69 @t44))) % 0.14/0.38 (step @p44 :rule quant-unused-vars :args ((= @t70 @t9))) % 0.14/0.38 (step @p45 :rule alpha_equiv :args (@t71 (@list @t4 @t3) (@list @t59 @t58))) % 0.14/0.38 (step @p46 :rule nary_cong :premises (@p45 @p44 @p43) :args (@t72)) % 0.14/0.38 (step @p47 :rule quant-miniscope-and :args ((= (forall @t7 @t73) @t72))) % 0.14/0.38 (step @p48 :rule trans :premises (@p47 @p46)) % 0.14/0.38 (step @p49 :rule aci_norm :args ((= (and @t6 @t45) @t73))) % 0.14/0.38 (step @p50 :rule bool-double-not-elim :args (@t45)) % 0.14/0.38 (step @p51 :rule refl :args (@t6)) % 0.14/0.38 (step @p52 :rule nary_cong :premises (@p51 @p50) :args ((and @t6 (not @t46)))) % 0.14/0.38 (step @p53 :rule bool-implies-de-morgan :args (@t6 @t46)) % 0.14/0.38 (step @p54 :rule trans :premises (@p53 @p52)) % 0.14/0.38 (step @p55 :rule trans :premises (@p54 @p49)) % 0.14/0.38 (step @p56 :rule cong :premises (@p55) :args (@t74)) % 0.14/0.38 (step @p57 :rule trans :premises (@p56 @p48)) % 0.14/0.38 (step @p58 :rule cong :premises (@p57) :args (@t75)) % 0.14/0.38 (step @p59 :rule exists-elim :args ((= @t48 @t75))) % 0.14/0.38 (step @p60 :rule trans :premises (@p59 @p58)) % 0.14/0.38 (step @p61 :rule cong :premises (@p60) :args (@t49)) % 0.14/0.38 (step @p62 :rule trans :premises (@p61 @p42)) % 0.14/0.38 (step @p63 :rule cong :premises (@p62) :args (@t50)) % 0.14/0.38 (step @p64 :rule eq_resolve :premises (@p14 @p63)) % 0.14/0.38 (step @p65 :rule skolemize :premises (@p64)) % 0.14/0.38 (step @p66 :rule bool-double-not-elim :args (@t76)) % 0.14/0.38 (step @p67 :rule refl :args (@t87)) % 0.14/0.38 (step @p68 :rule nary_cong :premises (@p67 @p66) :args ((or @t87 (not @t84)))) % 0.14/0.38 (step @p69 :rule cnf_or_neg :args (@t87 1)) % 0.14/0.38 (step @p70 :rule eq_resolve :premises (@p69 @p68)) % 0.14/0.38 (step @p71 :rule reordering :premises (@p70) :args ((or @t76 @t87))) % 0.14/0.38 (step @p72 :rule chain_m_resolution :premises (@p71 @p65) :args (@t76 @t88 @t89)) % 0.14/0.38 (step @p73 :rule cnf_equiv_pos1 :args (@t93)) % 0.14/0.38 (step @p74 :rule reordering :premises (@p73) :args ((or @t84 @t92 (not @t93)))) % 0.14/0.38 (step @p75 :rule chain_m_resolution :premises (@p74 @p72 @p24) :args (@t92 @t94 (@list @t76 @t93))) % 0.14/0.38 (step @p76 :rule eq-symm :args (@t95 @t23)) % 0.14/0.38 (step @p77 :rule refl :args (@t23)) % 0.14/0.38 (step @p78 :rule eq-symm :args (@t51 @t5)) % 0.14/0.38 (step @p79 :rule cong :premises (@p78) :args ((forall @t7 (= @t51 @t5)))) % 0.14/0.38 (step @p80 :rule bool-xor-elim :args (@t6 @t5)) % 0.14/0.38 (step @p81 :rule cong :premises (@p80) :args (@t24)) % 0.14/0.38 (step @p82 :rule trans :premises (@p81 @p79)) % 0.14/0.38 (step @p83 :rule cong :premises (@p82 @p77) :args (@t25)) % 0.14/0.38 (step @p84 :rule trans :premises (@p83 @p76)) % 0.14/0.38 (step @p85 :rule cong :premises (@p84) :args (@t26)) % 0.14/0.38 (step @p86 :rule eq_resolve :premises (@p5 @p85)) % 0.14/0.38 (step @p87 :rule eq-symm :args (@t90 @t91)) % 0.14/0.38 (step @p88 :rule cong :premises (@p87) :args (@t96)) % 0.14/0.38 (step @p89 :rule refl :args (@t77)) % 0.14/0.38 (step @p90 :rule cong :premises (@p89 @p88) :args (@t97)) % 0.14/0.38 (step @p91 :rule refl :args (@t98)) % 0.14/0.38 (step @p92 :rule cong :premises (@p91 @p90) :args ((=> @t98 @t97))) % 0.14/0.38 (assume-push @p189 @t98) % 0.14/0.38 (step @p94 :rule instantiate :premises (@p86) :args (@t66)) % 0.14/0.38 (step-pop @p190 :rule scope :premises (@p94)) % 0.14/0.38 (step @p95 :rule process_scope :premises (@p190) :args (@t97)) % 0.14/0.38 (step @p97 :rule eq_resolve :premises (@p95 @p92)) % 0.14/0.38 (step @p98 :rule implies_elim :premises (@p97)) % 0.14/0.38 (step @p99 :rule chain_m_resolution :premises (@p98 @p86) :args (@t100 @t101 (@list @t98))) % 0.14/0.38 (step @p100 :rule cnf_equiv_pos2 :args (@t100)) % 0.14/0.38 (step @p101 :rule reordering :premises (@p100) :args ((or @t77 @t103 @t102))) % 0.14/0.38 (step @p102 :rule cnf_or_neg :args (@t87 2)) % 0.14/0.38 (step @p103 :rule chain_m_resolution :premises (@p102 @p65) :args ((not @t83) @t88 @t89)) % 0.14/0.38 (step @p104 :rule eq-symm :args ((not @t52) @t13)) % 0.14/0.38 (step @p105 :rule refl :args (@t13)) % 0.14/0.38 (step @p106 :rule bool-double-not-elim :args (@t5)) % 0.14/0.38 (step @p107 :rule refl :args (@t51)) % 0.14/0.38 (step @p108 :rule nary_cong :premises (@p107 @p106) :args ((or @t51 (not @t14)))) % 0.14/0.38 (step @p109 :rule bool-and-de-morgan :args (@t6 @t14 true)) % 0.14/0.38 (step @p110 :rule trans :premises (@p109 @p108)) % 0.14/0.38 (step @p111 :rule cong :premises (@p110) :args (@t104)) % 0.14/0.38 (step @p112 :rule cong :premises (@p111) :args (@t105)) % 0.14/0.38 (step @p113 :rule exists-elim :args ((= @t16 @t105))) % 0.14/0.38 (step @p114 :rule trans :premises (@p113 @p112)) % 0.14/0.38 (step @p115 :rule cong :premises (@p114 @p105) :args (@t17)) % 0.14/0.38 (step @p116 :rule trans :premises (@p115 @p104)) % 0.14/0.38 (step @p117 :rule cong :premises (@p116) :args (@t18)) % 0.14/0.38 (step @p118 :rule eq_resolve :premises (@p3 @p117)) % 0.14/0.38 (step @p119 :rule instantiate :premises (@p118) :args (@t66)) % 0.14/0.38 (step @p120 :rule cnf_equiv_pos1 :args (@t107)) % 0.14/0.38 (step @p121 :rule reordering :premises (@p120) :args ((or @t82 @t106 (not @t107)))) % 0.14/0.38 (step @p122 :rule chain_m_resolution :premises (@p121 @p75 @p119) :args (@t82 @t94 (@list @t92 @t107))) % 0.14/0.38 (step @p123 :rule bool-double-not-elim :args (@t77)) % 0.14/0.38 (step @p124 :rule bool-double-not-elim :args (@t79)) % 0.14/0.38 (step @p125 :rule bool-double-not-elim :args (@t81)) % 0.14/0.38 (step @p126 :rule refl :args (@t83)) % 0.14/0.38 (step @p127 :rule nary_cong :premises (@p126 @p125 @p124 @p123) :args ((or @t83 (not @t82) (not @t80) (not @t78)))) % 0.14/0.38 (step @p128 :rule cnf_and_neg :args (@t83)) % 0.14/0.38 (step @p129 :rule eq_resolve :premises (@p128 @p127)) % 0.14/0.38 (step @p130 :rule reordering :premises (@p129) :args ((or @t81 @t79 @t77 @t83))) % 0.14/0.38 (step @p131 :rule refl :args (@t114)) % 0.14/0.38 (step @p132 :rule bool-double-not-elim :args (@t99)) % 0.14/0.38 (step @p133 :rule nary_cong :premises (@p132 @p131) :args ((or (not @t103) @t114))) % 0.14/0.38 (assume-push @p191 @t103) % 0.14/0.38 (step @p135 :rule skolemize :premises (@p191)) % 0.14/0.38 (step-pop @p192 :rule scope :premises (@p135)) % 0.14/0.38 (step @p136 :rule process_scope :premises (@p192) :args (@t114)) % 0.14/0.38 (step @p138 :rule implies_elim :premises (@p136)) % 0.14/0.38 (step @p139 :rule eq_resolve :premises (@p138 @p133)) % 0.14/0.38 (step @p140 :rule eq-symm :args ((forall @t7 (or @t51 @t14)) @t19)) % 0.14/0.38 (step @p141 :rule refl :args (@t19)) % 0.14/0.38 (step @p142 :rule bool-impl-elim :args (@t6 @t14)) % 0.14/0.38 (step @p143 :rule cong :premises (@p142) :args (@t20)) % 0.14/0.38 (step @p144 :rule cong :premises (@p143 @p141) :args (@t21)) % 0.14/0.38 (step @p145 :rule trans :premises (@p144 @p140)) % 0.14/0.38 (step @p146 :rule cong :premises (@p145) :args (@t22)) % 0.14/0.38 (step @p147 :rule eq_resolve :premises (@p4 @p146)) % 0.14/0.38 (step @p148 :rule instantiate :premises (@p147) :args (@t66)) % 0.14/0.38 (step @p149 :rule cnf_equiv_pos1 :args (@t116)) % 0.14/0.38 (step @p150 :rule reordering :premises (@p149) :args ((or @t80 @t115 (not @t116)))) % 0.14/0.38 (step @p151 :rule bool-double-not-elim :args (@t85)) % 0.14/0.38 (step @p152 :rule nary_cong :premises (@p67 @p151) :args ((or @t87 (not @t86)))) % 0.14/0.38 (step @p153 :rule cnf_or_neg :args (@t87 0)) % 0.14/0.38 (step @p154 :rule eq_resolve :premises (@p153 @p152)) % 0.14/0.38 (step @p155 :rule reordering :premises (@p154) :args ((or @t85 @t87))) % 0.14/0.38 (step @p156 :rule chain_m_resolution :premises (@p155 @p65) :args (@t85 @t88 @t89)) % 0.14/0.38 (step @p157 :rule instantiate :premises (@p156) :args (@t117)) % 0.14/0.38 (step @p158 :rule cnf_equiv_neg1 :args (@t113)) % 0.14/0.38 (step @p159 :rule reordering :premises (@p158) :args ((or @t112 @t110 @t113))) % 0.14/0.38 (step @p160 :rule cnf_or_pos :args (@t119)) % 0.14/0.38 (step @p161 :rule reordering :premises (@p160) :args ((or @t112 @t118 (not @t119)))) % 0.14/0.38 (assume-push @p193 @t115) % 0.14/0.38 (step @p163 :rule instantiate :premises (@p193) :args (@t117)) % 0.14/0.38 (step-pop @p194 :rule scope :premises (@p163)) % 0.14/0.38 (step @p164 :rule process_scope :premises (@p194) :args (@t119)) % 0.14/0.38 (step @p166 :rule implies_elim :premises (@p164)) % 0.14/0.38 (step @p167 :rule chain_m_resolution :premises (@p166 @p161 @p157 @p159 @p157 @p150 @p148 @p139 @p130 @p122 @p103 @p101 @p99) :args (@t77 (@list true false false false false false true false true true true false) (@list @t119 @t111 @t110 @t111 @t115 @t116 @t113 @t79 @t81 @t83 @t99 @t100))) % 0.14/0.38 (step @p168 :rule cnf_equiv_pos1 :args (@t100)) % 0.14/0.38 (step @p169 :rule reordering :premises (@p168) :args ((or @t78 @t99 @t102))) % 0.14/0.38 (step @p170 :rule chain_m_resolution :premises (@p169 @p167 @p99) :args (@t99 @t94 (@list @t77 @t100))) % 0.14/0.38 (assume-push @p195 @t99) % 0.14/0.38 (step @p172 :rule instantiate :premises (@p195) :args (@t117)) % 0.14/0.38 (step-pop @p196 :rule scope :premises (@p172)) % 0.14/0.38 (step @p173 :rule process_scope :premises (@p196) :args (@t113)) % 0.14/0.38 (step @p175 :rule implies_elim :premises (@p173)) % 0.14/0.38 (step @p176 :rule chain_m_resolution :premises (@p175 @p170) :args (@t113 @t101 (@list @t99))) % 0.14/0.38 (step @p177 :rule cnf_equiv_pos2 :args (@t113)) % 0.14/0.38 (step @p178 :rule reordering :premises (@p177) :args ((or @t112 @t114 @t118))) % 0.14/0.38 (step @p179 :rule chain_m_resolution :premises (@p178 @p157 @p176) :args (@t118 @t94 (@list @t111 @t113))) % 0.14/0.38 (step @p180 :rule cnf_or_pos :args (@t120)) % 0.14/0.38 (step @p181 :rule reordering :premises (@p180) :args ((or @t112 @t110 @t121))) % 0.14/0.38 (step @p182 :rule chain_m_resolution :premises (@p181 @p157 @p179) :args (@t121 (@list false true) (@list @t111 @t110))) % 0.14/0.38 (assume-push @p197 @t92) % 0.14/0.38 (step @p184 :rule instantiate :premises (@p75) :args (@t117)) % 0.14/0.38 (step-pop @p198 :rule scope :premises (@p184)) % 0.14/0.38 (step @p185 :rule process_scope :premises (@p198) :args (@t120)) % 0.14/0.38 (step @p187 :rule implies_elim :premises (@p185)) % 0.14/0.38 (step @p188 false :rule chain_m_resolution :premises (@p187 @p182 @p75) :args (false (@list true false) (@list @t120 @t92))) % 0.14/0.38 ) % 0.14/0.38 % SZS output end Proof % 0.14/0.38 % cvc5 exiting %------------------------------------------------------------------------------