%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET171+3 : TPTP v9.2.1. Released v2.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n008.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 08:47:33 AM UTC 2026 % Result : Theorem 1.11s 1.30s % Output : Proof 1.11s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET171+3 : TPTP v9.2.1. Released v2.2.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n008.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 15:06:48 EDT 2026 % 0.16/0.34 % CPUTime : % 0.27/0.49 %----Proving TF0_NAR, FOF, or CNF % 1.11/1.30 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 1.11/1.30 % SZS status Theorem % 1.11/1.30 % SZS output start Proof % 1.11/1.30 ( % 1.11/1.30 (declare-sort $$unsorted 0) % 1.11/1.30 (declare-const tptp.intersection (-> $$unsorted $$unsorted $$unsorted)) % 1.11/1.30 (declare-const tptp.union (-> $$unsorted $$unsorted $$unsorted)) % 1.11/1.30 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 1.11/1.30 (declare-const tptp.member (-> $$unsorted $$unsorted Bool)) % 1.11/1.30 (define @t1 () (@var "C" $$unsorted)) % 1.11/1.30 (define @t2 () (@var "D" $$unsorted)) % 1.11/1.30 (define @t3 () (tptp.member @t2 @t1)) % 1.11/1.30 (define @t4 () (@var "B" $$unsorted)) % 1.11/1.30 (define @t5 () (tptp.member @t2 @t4)) % 1.11/1.30 (define @t6 () (tptp.union @t4 @t1)) % 1.11/1.30 (define @t7 () (@list @t4 @t1 @t2)) % 1.11/1.30 (define @t8 () (tptp.intersection @t4 @t1)) % 1.11/1.30 (define @t9 () (tptp.subset @t4 @t1)) % 1.11/1.30 (define @t10 () (= @t4 @t1)) % 1.11/1.30 (define @t11 () (@list @t4 @t1)) % 1.11/1.30 (define @t12 () (@list @t2)) % 1.11/1.30 (define @t13 () (forall @t11 (= @t10 (forall @t12 (= @t5 @t3))))) % 1.11/1.30 (define @t14 () (forall @t7 (= (tptp.union @t4 (tptp.intersection @t1 @t2)) (tptp.intersection @t6 (tptp.union @t4 @t2))))) % 1.11/1.30 (define @t15 () (@quantifiers_skolemize @t14 2)) % 1.11/1.30 (define @t16 () (@quantifiers_skolemize @t14 1)) % 1.11/1.30 (define @t17 () (tptp.intersection @t16 @t15)) % 1.11/1.30 (define @t18 () (@quantifiers_skolemize @t14 0)) % 1.11/1.30 (define @t19 () (tptp.union @t18 @t17)) % 1.11/1.30 (define @t20 () (tptp.member @t2 @t19)) % 1.11/1.30 (define @t21 () (tptp.union @t18 @t15)) % 1.11/1.30 (define @t22 () (tptp.union @t18 @t16)) % 1.11/1.30 (define @t23 () (tptp.intersection @t22 @t21)) % 1.11/1.30 (define @t24 () (forall @t12 (= (tptp.member @t2 @t23) @t20))) % 1.11/1.30 (define @t25 () (@quantifiers_skolemize @t24 0)) % 1.11/1.30 (define @t26 () (tptp.member @t25 @t22)) % 1.11/1.30 (define @t27 () (tptp.member @t25 @t21)) % 1.11/1.30 (define @t28 () (and @t27 @t26)) % 1.11/1.30 (define @t29 () (tptp.intersection @t21 @t22)) % 1.11/1.30 (define @t30 () (tptp.member @t25 @t29)) % 1.11/1.30 (define @t31 () (= @t30 @t28)) % 1.11/1.30 (define @t32 () (not @t31)) % 1.11/1.30 (define @t33 () (not @t30)) % 1.11/1.30 (define @t34 () (tptp.member @t25 @t23)) % 1.11/1.30 (define @t35 () (not @t34)) % 1.11/1.30 (define @t36 () (= @t23 @t29)) % 1.11/1.30 (define @t37 () (not @t36)) % 1.11/1.30 (define @t38 () (and @t36 @t33)) % 1.11/1.30 (define @t39 () (= (= @t23 @t19) @t24)) % 1.11/1.30 (define @t40 () (= @t19 @t23)) % 1.11/1.30 (define @t41 () (= @t40 @t24)) % 1.11/1.30 (define @t42 () (@list false)) % 1.11/1.30 (define @t43 () (not @t24)) % 1.11/1.30 (define @t44 () (@list true false)) % 1.11/1.30 (define @t45 () (tptp.member @t25 @t19)) % 1.11/1.30 (define @t46 () (= @t34 @t45)) % 1.11/1.30 (define @t47 () (tptp.member @t2 @t22)) % 1.11/1.30 (define @t48 () (forall @t12 (or (not (tptp.member @t2 @t18)) @t47))) % 1.11/1.30 (define @t49 () (@quantifiers_skolemize @t48 0)) % 1.11/1.30 (define @t50 () (tptp.member @t49 @t18)) % 1.11/1.30 (define @t51 () (tptp.member @t49 @t22)) % 1.11/1.30 (define @t52 () (not @t50)) % 1.11/1.30 (define @t53 () (or @t52 @t51)) % 1.11/1.30 (define @t54 () (or @t50 (tptp.member @t49 @t16))) % 1.11/1.30 (define @t55 () (= @t51 @t54)) % 1.11/1.30 (define @t56 () (@list false false true false)) % 1.11/1.30 (define @t57 () (not @t53)) % 1.11/1.30 (define @t58 () (not @t48)) % 1.11/1.30 (define @t59 () (forall @t12 (or (not @t20) @t47))) % 1.11/1.30 (define @t60 () (@quantifiers_skolemize @t59 0)) % 1.11/1.30 (define @t61 () (@list @t60)) % 1.11/1.30 (define @t62 () (tptp.member @t60 @t22)) % 1.11/1.30 (define @t63 () (tptp.member @t60 @t18)) % 1.11/1.30 (define @t64 () (not @t63)) % 1.11/1.30 (define @t65 () (or @t64 @t62)) % 1.11/1.30 (define @t66 () (tptp.member @t60 @t19)) % 1.11/1.30 (define @t67 () (not @t66)) % 1.11/1.30 (define @t68 () (or @t67 @t62)) % 1.11/1.30 (define @t69 () (tptp.member @t60 @t17)) % 1.11/1.30 (define @t70 () (or @t63 @t69)) % 1.11/1.30 (define @t71 () (= @t66 @t70)) % 1.11/1.30 (define @t72 () (not @t65)) % 1.11/1.30 (define @t73 () (not (tptp.member @t2 @t17))) % 1.11/1.30 (define @t74 () (forall @t12 (or @t73 @t47))) % 1.11/1.30 (define @t75 () (@quantifiers_skolemize @t74 0)) % 1.11/1.30 (define @t76 () (tptp.member @t75 @t17)) % 1.11/1.30 (define @t77 () (tptp.member @t75 @t22)) % 1.11/1.30 (define @t78 () (not @t76)) % 1.11/1.30 (define @t79 () (or @t78 @t77)) % 1.11/1.30 (define @t80 () (tptp.member @t2 @t16)) % 1.11/1.30 (define @t81 () (forall @t12 (or @t73 @t80))) % 1.11/1.30 (define @t82 () (@quantifiers_skolemize @t81 0)) % 1.11/1.30 (define @t83 () (tptp.member @t82 @t17)) % 1.11/1.30 (define @t84 () (tptp.member @t82 @t16)) % 1.11/1.30 (define @t85 () (not @t83)) % 1.11/1.30 (define @t86 () (or @t85 @t84)) % 1.11/1.30 (define @t87 () (and @t84 (tptp.member @t82 @t15))) % 1.11/1.30 (define @t88 () (= @t83 @t87)) % 1.11/1.30 (define @t89 () (not @t86)) % 1.11/1.30 (define @t90 () (not @t81)) % 1.11/1.30 (define @t91 () (@list @t75)) % 1.11/1.30 (define @t92 () (tptp.member @t75 @t16)) % 1.11/1.30 (define @t93 () (or @t78 @t92)) % 1.11/1.30 (define @t94 () (forall @t12 (or (not @t80) @t47))) % 1.11/1.30 (define @t95 () (@quantifiers_skolemize @t94 0)) % 1.11/1.30 (define @t96 () (tptp.member @t95 @t16)) % 1.11/1.30 (define @t97 () (tptp.member @t95 @t22)) % 1.11/1.30 (define @t98 () (not @t96)) % 1.11/1.30 (define @t99 () (or @t98 @t97)) % 1.11/1.30 (define @t100 () (or (tptp.member @t95 @t18) @t96)) % 1.11/1.30 (define @t101 () (= @t97 @t100)) % 1.11/1.30 (define @t102 () (not @t99)) % 1.11/1.30 (define @t103 () (not @t94)) % 1.11/1.30 (define @t104 () (not @t92)) % 1.11/1.30 (define @t105 () (or @t104 @t77)) % 1.11/1.30 (define @t106 () (not @t79)) % 1.11/1.30 (define @t107 () (not @t74)) % 1.11/1.30 (define @t108 () (not @t69)) % 1.11/1.30 (define @t109 () (or @t108 @t62)) % 1.11/1.30 (define @t110 () (not @t68)) % 1.11/1.30 (define @t111 () (not @t59)) % 1.11/1.30 (define @t112 () (not @t45)) % 1.11/1.30 (define @t113 () (or @t112 @t26)) % 1.11/1.30 (define @t114 () (tptp.member @t25 @t15)) % 1.11/1.30 (define @t115 () (tptp.member @t25 @t18)) % 1.11/1.30 (define @t116 () (or @t115 @t114)) % 1.11/1.30 (define @t117 () (= @t27 @t116)) % 1.11/1.30 (define @t118 () (not @t117)) % 1.11/1.30 (define @t119 () (not @t116)) % 1.11/1.30 (define @t120 () (not @t114)) % 1.11/1.30 (define @t121 () (tptp.member @t25 @t16)) % 1.11/1.30 (define @t122 () (and @t121 @t114)) % 1.11/1.30 (define @t123 () (not @t122)) % 1.11/1.30 (define @t124 () (tptp.member @t25 @t17)) % 1.11/1.30 (define @t125 () (= @t124 @t122)) % 1.11/1.30 (define @t126 () (not @t125)) % 1.11/1.30 (define @t127 () (or @t124 @t115)) % 1.11/1.30 (define @t128 () (not @t127)) % 1.11/1.30 (define @t129 () (tptp.union @t17 @t18)) % 1.11/1.30 (define @t130 () (tptp.member @t25 @t129)) % 1.11/1.30 (define @t131 () (= @t130 @t127)) % 1.11/1.30 (define @t132 () (not @t131)) % 1.11/1.30 (define @t133 () (not @t130)) % 1.11/1.30 (define @t134 () (= @t19 @t129)) % 1.11/1.30 (define @t135 () (and @t134 @t45)) % 1.11/1.30 (define @t136 () (not @t28)) % 1.11/1.30 (define @t137 () (@list false false)) % 1.11/1.30 (define @t138 () (and @t36 @t30)) % 1.11/1.30 (define @t139 () (not @t134)) % 1.11/1.30 (define @t140 () (and @t134 @t112)) % 1.11/1.30 (define @t141 () (@list false true)) % 1.11/1.30 (define @t142 () (tptp.union @t16 @t18)) % 1.11/1.30 (define @t143 () (= @t22 @t142)) % 1.11/1.30 (define @t144 () (tptp.member @t25 @t142)) % 1.11/1.30 (define @t145 () (and @t143 @t26)) % 1.11/1.30 (define @t146 () (or @t121 @t115)) % 1.11/1.30 (define @t147 () (= @t144 @t146)) % 1.11/1.30 (assume @p1 (forall @t7 (= (tptp.member @t2 @t6) (or @t5 @t3)))) % 1.11/1.30 (assume @p2 (forall @t7 (= (tptp.member @t2 @t8) (and @t5 @t3)))) % 1.11/1.30 (assume @p3 (forall @t11 (= @t10 (and @t9 (tptp.subset @t1 @t4))))) % 1.11/1.30 (assume @p4 (forall @t11 (= @t6 (tptp.union @t1 @t4)))) % 1.11/1.30 (assume @p5 (forall @t11 (= @t8 (tptp.intersection @t1 @t4)))) % 1.11/1.30 (assume @p6 (forall @t11 (= @t9 (forall @t12 (=> @t5 @t3))))) % 1.11/1.30 (assume @p7 (forall (@list @t4) (tptp.subset @t4 @t4))) % 1.11/1.30 (assume @p8 @t13) % 1.11/1.30 (assume @p9 (not @t14)) % 1.11/1.30 (assume @p10 true) % 1.11/1.30 (step @p11 :rule instantiate :premises (@p1) :args ((@list @t17 @t18 @t25))) % 1.11/1.30 (step @p12 :rule instantiate :premises (@p2) :args ((@list @t21 @t22 @t25))) % 1.11/1.30 (step @p13 :rule cnf_equiv_pos1 :args (@t31)) % 1.11/1.30 (step @p14 :rule reordering :premises (@p13) :args ((or @t28 @t33 @t32))) % 1.11/1.30 (step @p15 :rule instantiate :premises (@p5) :args ((@list @t22 @t21))) % 1.11/1.30 (step @p16 :rule refl :args (@t35)) % 1.11/1.30 (step @p17 :rule bool-double-not-elim :args (@t30)) % 1.11/1.30 (step @p18 :rule refl :args (@t37)) % 1.11/1.30 (step @p19 :rule nary_cong :premises (@p18 @p17 @p16) :args ((or @t37 (not @t33) @t35))) % 1.11/1.30 (assume-push @p349 @t36) % 1.11/1.30 (assume-push @p350 @t33) % 1.11/1.30 (assume-push @p351 @t33) % 1.11/1.30 (assume-push @p352 @t36) % 1.11/1.30 (step @p24 :rule false_intro :premises (@p350)) % 1.11/1.30 (step @p25 :rule refl :args (@t25)) % 1.11/1.30 (step @p26 :rule cong :premises (@p25 @p15) :args (@t34)) % 1.11/1.30 (step @p27 :rule trans :premises (@p26 @p24)) % 1.11/1.30 (step @p28 :rule false_elim :premises (@p27)) % 1.11/1.30 (step-pop @p353 :rule scope :premises (@p28)) % 1.11/1.30 (step-pop @p354 :rule scope :premises (@p353)) % 1.11/1.30 (step @p29 :rule process_scope :premises (@p354) :args (@t35)) % 1.11/1.30 (step @p32 :rule and_intro :premises (@p350 @p15)) % 1.11/1.30 (step @p33 :rule modus_ponens :premises (@p32 @p29)) % 1.11/1.30 (step-pop @p355 :rule scope :premises (@p33)) % 1.11/1.30 (step-pop @p356 :rule scope :premises (@p355)) % 1.11/1.30 (step @p34 :rule process_scope :premises (@p356) :args (@t35)) % 1.11/1.30 (step @p37 :rule implies_elim :premises (@p34)) % 1.11/1.30 (step @p38 :rule cnf_and_neg :args (@t38)) % 1.11/1.30 (step @p39 :rule resolution :premises (@p38 @p37) :args (true @t38)) % 1.11/1.30 (step @p40 :rule eq_resolve :premises (@p39 @p19)) % 1.11/1.30 (step @p41 :rule reordering :premises (@p40) :args ((or @t37 @t35 @t30))) % 1.11/1.30 (step @p42 :rule refl :args (@t24)) % 1.11/1.30 (step @p43 :rule eq-symm :args (@t23 @t19)) % 1.11/1.30 (step @p44 :rule cong :premises (@p43 @p42) :args (@t39)) % 1.11/1.30 (step @p45 :rule refl :args (@t13)) % 1.11/1.30 (step @p46 :rule cong :premises (@p45 @p44) :args ((=> @t13 @t39))) % 1.11/1.30 (assume-push @p357 @t13) % 1.11/1.30 (step @p48 :rule instantiate :premises (@p8) :args ((@list @t23 @t19))) % 1.11/1.30 (step-pop @p358 :rule scope :premises (@p48)) % 1.11/1.30 (step @p49 :rule process_scope :premises (@p358) :args (@t39)) % 1.11/1.30 (step @p51 :rule eq_resolve :premises (@p49 @p46)) % 1.11/1.30 (step @p52 :rule implies_elim :premises (@p51)) % 1.11/1.30 (step @p53 :rule chain_m_resolution :premises (@p52 @p8) :args (@t41 @t42 (@list @t13))) % 1.11/1.30 (step @p54 :rule skolemize :premises (@p9)) % 1.11/1.30 (step @p55 :rule cnf_equiv_pos2 :args (@t41)) % 1.11/1.30 (step @p56 :rule reordering :premises (@p55) :args ((or @t40 @t43 (not @t41)))) % 1.11/1.30 (step @p57 :rule chain_m_resolution :premises (@p56 @p54 @p53) :args (@t43 @t44 (@list @t40 @t41))) % 1.11/1.30 (step @p58 :rule skolemize :premises (@p57)) % 1.11/1.30 (step @p59 :rule cnf_equiv_neg1 :args (@t46)) % 1.11/1.30 (step @p60 :rule reordering :premises (@p59) :args ((or @t34 @t45 @t46))) % 1.11/1.30 (step @p61 :rule bool-double-not-elim :args (@t50)) % 1.11/1.30 (step @p62 :rule refl :args (@t53)) % 1.11/1.30 (step @p63 :rule nary_cong :premises (@p62 @p61) :args ((or @t53 (not @t52)))) % 1.11/1.30 (step @p64 :rule cnf_or_neg :args (@t53 0)) % 1.11/1.30 (step @p65 :rule eq_resolve :premises (@p64 @p63)) % 1.11/1.30 (step @p66 :rule reordering :premises (@p65) :args ((or @t50 @t53))) % 1.11/1.30 (step @p67 :rule cnf_or_neg :args (@t53 1)) % 1.11/1.30 (step @p68 :rule cnf_or_neg :args (@t54 0)) % 1.11/1.30 (step @p69 :rule reordering :premises (@p68) :args ((or @t52 @t54))) % 1.11/1.30 (step @p70 :rule instantiate :premises (@p1) :args ((@list @t18 @t16 @t49))) % 1.11/1.30 (step @p71 :rule cnf_equiv_pos2 :args (@t55)) % 1.11/1.30 (step @p72 :rule reordering :premises (@p71) :args ((or @t51 (not @t54) (not @t55)))) % 1.11/1.30 (step @p73 :rule chain_m_resolution :premises (@p72 @p70 @p69 @p67 @p66) :args (@t53 @t56 (@list @t55 @t54 @t51 @t50))) % 1.11/1.30 (step @p74 :rule refl :args (@t57)) % 1.11/1.30 (step @p75 :rule bool-double-not-elim :args (@t48)) % 1.11/1.30 (step @p76 :rule nary_cong :premises (@p75 @p74) :args ((or (not @t58) @t57))) % 1.11/1.30 (assume-push @p359 @t58) % 1.11/1.30 (step @p78 :rule skolemize :premises (@p359)) % 1.11/1.30 (step-pop @p360 :rule scope :premises (@p78)) % 1.11/1.30 (step @p79 :rule process_scope :premises (@p360) :args (@t57)) % 1.11/1.30 (step @p81 :rule implies_elim :premises (@p79)) % 1.11/1.30 (step @p82 :rule eq_resolve :premises (@p81 @p76)) % 1.11/1.30 (step @p83 :rule chain_m_resolution :premises (@p82 @p73) :args (@t48 @t42 (@list @t53))) % 1.11/1.30 (assume-push @p361 @t48) % 1.11/1.30 (step @p85 :rule instantiate :premises (@p361) :args (@t61)) % 1.11/1.30 (step-pop @p362 :rule scope :premises (@p85)) % 1.11/1.30 (step @p86 :rule process_scope :premises (@p362) :args (@t65)) % 1.11/1.30 (step @p88 :rule implies_elim :premises (@p86)) % 1.11/1.30 (step @p89 :rule chain_m_resolution :premises (@p88 @p83) :args (@t65 @t42 (@list @t48))) % 1.11/1.30 (step @p90 :rule bool-double-not-elim :args (@t66)) % 1.11/1.30 (step @p91 :rule refl :args (@t68)) % 1.11/1.30 (step @p92 :rule nary_cong :premises (@p91 @p90) :args ((or @t68 (not @t67)))) % 1.11/1.30 (step @p93 :rule cnf_or_neg :args (@t68 0)) % 1.11/1.30 (step @p94 :rule eq_resolve :premises (@p93 @p92)) % 1.11/1.30 (step @p95 :rule reordering :premises (@p94) :args ((or @t66 @t68))) % 1.11/1.30 (step @p96 :rule cnf_or_neg :args (@t68 1)) % 1.11/1.30 (step @p97 :rule instantiate :premises (@p1) :args ((@list @t18 @t17 @t60))) % 1.11/1.30 (step @p98 :rule cnf_equiv_pos1 :args (@t71)) % 1.11/1.30 (step @p99 :rule reordering :premises (@p98) :args ((or @t67 @t70 (not @t71)))) % 1.11/1.30 (step @p100 :rule cnf_or_pos :args (@t65)) % 1.11/1.30 (step @p101 :rule reordering :premises (@p100) :args ((or @t62 @t64 @t72))) % 1.11/1.30 (step @p102 :rule bool-double-not-elim :args (@t76)) % 1.11/1.30 (step @p103 :rule refl :args (@t79)) % 1.11/1.30 (step @p104 :rule nary_cong :premises (@p103 @p102) :args ((or @t79 (not @t78)))) % 1.11/1.30 (step @p105 :rule cnf_or_neg :args (@t79 0)) % 1.11/1.30 (step @p106 :rule eq_resolve :premises (@p105 @p104)) % 1.11/1.30 (step @p107 :rule reordering :premises (@p106) :args ((or @t76 @t79))) % 1.11/1.30 (step @p108 :rule cnf_or_neg :args (@t79 1)) % 1.11/1.30 (step @p109 :rule bool-double-not-elim :args (@t83)) % 1.11/1.30 (step @p110 :rule refl :args (@t86)) % 1.11/1.30 (step @p111 :rule nary_cong :premises (@p110 @p109) :args ((or @t86 (not @t85)))) % 1.11/1.30 (step @p112 :rule cnf_or_neg :args (@t86 0)) % 1.11/1.30 (step @p113 :rule eq_resolve 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:premises (@p300) :args ((or @t130 @t128 @t132))) % 1.11/1.30 (step @p302 :rule chain_m_resolution :premises (@p301 @p299 @p11) :args (@t128 @t44 (@list @t130 @t131))) % 1.11/1.30 (step @p303 :rule cnf_and_pos :args (@t28 0)) % 1.11/1.30 (step @p304 :rule reordering :premises (@p303) :args ((or @t27 @t136))) % 1.11/1.30 (step @p305 :rule chain_m_resolution :premises (@p304 @p250) :args (@t27 @t42 (@list @t28))) % 1.11/1.30 (step @p306 :rule cnf_equiv_pos1 :args (@t117)) % 1.11/1.30 (step @p307 :rule reordering :premises (@p306) :args ((or (not @t27) @t116 @t118))) % 1.11/1.30 (step @p308 :rule chain_m_resolution :premises (@p307 @p305 @p213) :args (@t116 @t137 (@list @t27 @t117))) % 1.11/1.30 (step @p309 :rule cnf_or_neg :args (@t127 0)) % 1.11/1.30 (step @p310 :rule cnf_or_neg :args (@t127 1)) % 1.11/1.30 (step @p311 :rule cnf_and_pos :args (@t28 1)) % 1.11/1.30 (step @p312 :rule reordering :premises (@p311) :args ((or @t26 @t136))) % 1.11/1.30 (step @p313 :rule cnf_equiv_pos2 :args (@t125)) % 1.11/1.30 (step @p314 :rule reordering :premises (@p313) :args ((or @t124 @t123 @t126))) % 1.11/1.30 (step @p315 :rule instantiate :premises (@p4) :args ((@list @t18 @t16))) % 1.11/1.30 (assume-push @p403 @t143) % 1.11/1.30 (assume-push @p404 @t26) % 1.11/1.30 (assume-push @p405 @t26) % 1.11/1.30 (assume-push @p406 @t143) % 1.11/1.30 (step @p320 :rule true_intro :premises (@p404)) % 1.11/1.30 (step @p321 :rule symm :premises (@p315)) % 1.11/1.30 (step @p25 :rule refl :args (@t25)) % 1.11/1.30 (step @p322 :rule cong :premises (@p25 @p321) :args (@t144)) % 1.11/1.30 (step @p323 :rule trans :premises (@p322 @p320)) % 1.11/1.30 (step @p324 :rule true_elim :premises (@p323)) % 1.11/1.30 (step-pop @p407 :rule scope :premises (@p324)) % 1.11/1.30 (step-pop @p408 :rule scope :premises (@p407)) % 1.11/1.30 (step @p325 :rule process_scope :premises (@p408) :args (@t144)) % 1.11/1.30 (step @p328 :rule and_intro :premises (@p404 @p315)) % 1.11/1.30 (step @p329 :rule modus_ponens :premises (@p328 @p325)) % 1.11/1.30 (step-pop @p409 :rule scope :premises (@p329)) % 1.11/1.30 (step-pop @p410 :rule scope :premises (@p409)) % 1.11/1.30 (step @p330 :rule process_scope :premises (@p410) :args (@t144)) % 1.11/1.30 (step @p333 :rule implies_elim :premises (@p330)) % 1.11/1.30 (step @p334 :rule cnf_and_neg :args (@t145)) % 1.11/1.30 (step @p335 :rule resolution :premises (@p334 @p333) :args (true @t145)) % 1.11/1.30 (step @p336 :rule cnf_and_neg :args (@t122)) % 1.11/1.30 (step @p337 :rule reordering :premises (@p336) :args ((or @t120 @t122 (not @t121)))) % 1.11/1.30 (step @p338 :rule instantiate :premises (@p1) :args ((@list @t16 @t18 @t25))) % 1.11/1.30 (step @p339 :rule cnf_equiv_pos1 :args (@t147)) % 1.11/1.30 (step @p340 :rule reordering :premises (@p339) :args ((or @t146 (not @t144) (not @t147)))) % 1.11/1.30 (step @p341 :rule cnf_or_pos :args (@t146)) % 1.11/1.30 (step @p342 :rule reordering :premises (@p341) :args ((or @t115 @t121 (not @t146)))) % 1.11/1.30 (step @p343 :rule chain_m_resolution :premises (@p342 @p340 @p338 @p337 @p335 @p315 @p314 @p222 @p312 @p310 @p309 @p14 @p12 @p301 @p11 @p41 @p15 @p298 @p229 @p60 @p58) :args ((or @t45 @t120) (@list false false true false false true false false true true false false true false false false true false false true) (@list @t146 @t147 @t121 @t144 @t143 @t122 @t125 @t26 @t115 @t124 @t28 @t31 @t127 @t131 @t30 @t36 @t130 @t134 @t34 @t46))) % 1.11/1.30 (step @p344 :rule chain_m_resolution :premises (@p343 @p275) :args (@t120 (@list true) (@list @t45))) % 1.11/1.30 (step @p345 :rule cnf_or_pos :args (@t116)) % 1.11/1.30 (step @p346 :rule reordering :premises (@p345) :args ((or @t115 @t114 @t119))) % 1.11/1.30 (step @p347 :rule chain_m_resolution :premises (@p346 @p344 @p308) :args (@t115 @t44 (@list @t114 @t116))) % 1.11/1.30 (step @p348 false :rule chain_m_resolution :premises (@p310 @p347 @p302) :args (false @t141 (@list @t115 @t127))) % 1.11/1.30 ) % 1.11/1.30 % SZS output end Proof % 1.11/1.30 % cvc5 exiting %------------------------------------------------------------------------------