%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : MGT114+1 : TPTP v9.3.0. Released v9.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n011.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8046.5625MB % OS : Linux 6.8.0-71-generic % CPULimit : 300s % WCLimit : 300s % DateTime : Tue Sep 8 06:05:00 AM UTC 2026 % Result : Unsatisfiable 17.61s 18.07s % Output : Proof 17.61s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : MGT114+1 : TPTP v9.3.0. Released v9.3.0. % 0.00/0.05 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.12/0.38 % Computer : n011.cluster.edu % 0.12/0.38 % Model : x86_64 x86_64 % 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.38 % Memory : 8046.5625MB % 0.12/0.38 % OS : Linux 6.8.0-71-generic % 0.12/0.38 % CPULimit : 300 % 0.12/0.38 % WCLimit : 300 % 0.12/0.38 % DateTime : Mon Sep 7 14:08:15 UTC 2026 % 0.12/0.38 % CPUTime : % 0.12/0.46 %----Proving TF0_NAR, FOF, or CNF % 0.22/0.48 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.21/15.68 --- Run --no-e-matching --full-saturate-quant at 6... % 17.61/18.07 % SZS status Unsatisfiable % 17.61/18.07 % SZS output start Proof % 17.61/18.09 ( % 17.61/18.09 (declare-sort $$unsorted 0) % 17.61/18.09 (declare-const tptp.target (-> $$unsorted Bool)) % 17.61/18.09 (declare-const tptp.action (-> $$unsorted Bool)) % 17.61/18.09 (declare-const tptp.cnt (-> $$unsorted $$unsorted $$unsorted Bool)) % 17.61/18.09 (declare-const tptp.part_of (-> $$unsorted $$unsorted Bool)) % 17.61/18.09 (declare-const tptp.l $$unsorted) % 17.61/18.09 (declare-const tptp.no_right (-> $$unsorted Bool)) % 17.61/18.09 (declare-const tptp.n1 $$unsorted) % 17.61/18.09 (declare-const tptp.position (-> $$unsorted Bool)) % 17.61/18.09 (declare-const tptp.n2 $$unsorted) % 17.61/18.09 (declare-const tptp.permission (-> $$unsorted Bool)) % 17.61/18.09 (declare-const tptp.some_target $$unsorted) % 17.61/18.09 (declare-const tptp.rho1 $$unsorted) % 17.61/18.09 (declare-const tptp.legal_relator (-> $$unsorted Bool)) % 17.61/18.09 (declare-const tptp.odrl_rel (-> $$unsorted Bool)) % 17.61/18.09 (declare-const tptp.some_action $$unsorted) % 17.61/18.09 (define @t1 () (@var "N" $$unsorted)) % 17.61/18.09 (define @t2 () (@var "M" $$unsorted)) % 17.61/18.09 (define @t3 () (@var "T" $$unsorted)) % 17.61/18.09 (define @t4 () (@var "A" $$unsorted)) % 17.61/18.09 (define @t5 () (tptp.cnt @t2 @t4 @t3)) % 17.61/18.09 (define @t6 () (@var "Rho" $$unsorted)) % 17.61/18.09 (define @t7 () (tptp.part_of @t2 @t6)) % 17.61/18.09 (define @t8 () (tptp.no_right @t2)) % 17.61/18.09 (define @t9 () (and @t8 @t7 @t5)) % 17.61/18.09 (define @t10 () (=> @t9 (= @t2 @t1))) % 17.61/18.09 (define @t11 () (@list @t2)) % 17.61/18.09 (define @t12 () (forall @t11 @t10)) % 17.61/18.09 (define @t13 () (tptp.cnt @t1 @t4 @t3)) % 17.61/18.09 (define @t14 () (tptp.part_of @t1 @t6)) % 17.61/18.09 (define @t15 () (tptp.no_right @t1)) % 17.61/18.09 (define @t16 () (and @t15 @t14 @t13 @t12)) % 17.61/18.09 (define @t17 () (@list @t1)) % 17.61/18.09 (define @t18 () (exists @t17 @t16)) % 17.61/18.09 (define @t19 () (@var "L" $$unsorted)) % 17.61/18.09 (define @t20 () (@var "L2" $$unsorted)) % 17.61/18.09 (define @t21 () (tptp.cnt @t20 @t4 @t3)) % 17.61/18.09 (define @t22 () (tptp.part_of @t20 @t6)) % 17.61/18.09 (define @t23 () (tptp.permission @t20)) % 17.61/18.09 (define @t24 () (and @t23 @t22 @t21)) % 17.61/18.09 (define @t25 () (=> @t24 (= @t20 @t19))) % 17.61/18.09 (define @t26 () (@list @t20)) % 17.61/18.09 (define @t27 () (forall @t26 @t25)) % 17.61/18.09 (define @t28 () (tptp.cnt @t19 @t4 @t3)) % 17.61/18.09 (define @t29 () (tptp.part_of @t19 @t6)) % 17.61/18.09 (define @t30 () (tptp.permission @t19)) % 17.61/18.09 (define @t31 () (and @t30 @t29 @t28 @t27)) % 17.61/18.09 (define @t32 () (@list @t19)) % 17.61/18.09 (define @t33 () (exists @t32 @t31)) % 17.61/18.09 (define @t34 () (= @t33 @t18)) % 17.61/18.09 (define @t35 () (tptp.odrl_rel @t6)) % 17.61/18.09 (define @t36 () (=> @t35 @t34)) % 17.61/18.09 (define @t37 () (@list @t6 @t4 @t3)) % 17.61/18.09 (define @t38 () (forall @t37 @t36)) % 17.61/18.09 (define @t39 () (tptp.odrl_rel tptp.rho1)) % 17.61/18.09 (define @t40 () (tptp.permission tptp.l)) % 17.61/18.09 (define @t41 () (tptp.no_right tptp.n1)) % 17.61/18.09 (define @t42 () (tptp.no_right tptp.n2)) % 17.61/18.09 (define @t43 () (tptp.part_of tptp.l tptp.rho1)) % 17.61/18.09 (define @t44 () (tptp.part_of tptp.n1 tptp.rho1)) % 17.61/18.09 (define @t45 () (tptp.part_of tptp.n2 tptp.rho1)) % 17.61/18.09 (define @t46 () (tptp.cnt tptp.l tptp.some_action tptp.some_target)) % 17.61/18.09 (define @t47 () (tptp.cnt tptp.n1 tptp.some_action tptp.some_target)) % 17.61/18.09 (define @t48 () (tptp.cnt tptp.n2 tptp.some_action tptp.some_target)) % 17.61/18.09 (define @t49 () (= tptp.n1 tptp.n2)) % 17.61/18.09 (define @t50 () (not @t49)) % 17.61/18.09 (define @t51 () (= @t20 tptp.l)) % 17.61/18.09 (define @t52 () (tptp.cnt @t20 tptp.some_action tptp.some_target)) % 17.61/18.09 (define @t53 () (tptp.part_of @t20 tptp.rho1)) % 17.61/18.09 (define @t54 () (and @t23 @t53 @t52)) % 17.61/18.09 (define @t55 () (forall @t26 (=> @t54 @t51))) % 17.61/18.09 (define @t56 () (= @t1 @t2)) % 17.61/18.09 (define @t57 () (not @t5)) % 17.61/18.09 (define @t58 () (not @t7)) % 17.61/18.09 (define @t59 () (not @t8)) % 17.61/18.09 (define @t60 () (or @t59 @t58 @t57 @t56)) % 17.61/18.09 (define @t61 () (forall @t11 @t60)) % 17.61/18.09 (define @t62 () (not @t61)) % 17.61/18.09 (define @t63 () (not @t13)) % 17.61/18.09 (define @t64 () (not @t14)) % 17.61/18.09 (define @t65 () (not @t15)) % 17.61/18.09 (define @t66 () (or @t65 @t64 @t63 @t62)) % 17.61/18.09 (define @t67 () (= @t19 @t20)) % 17.61/18.09 (define @t68 () (not @t21)) % 17.61/18.09 (define @t69 () (not @t22)) % 17.61/18.09 (define @t70 () (not @t23)) % 17.61/18.09 (define @t71 () (or @t70 @t69 @t68 @t67)) % 17.61/18.09 (define @t72 () (forall @t26 @t71)) % 17.61/18.09 (define @t73 () (not @t72)) % 17.61/18.09 (define @t74 () (not @t28)) % 17.61/18.09 (define @t75 () (not @t29)) % 17.61/18.09 (define @t76 () (not @t30)) % 17.61/18.09 (define @t77 () (or @t76 @t75 @t74 @t73)) % 17.61/18.09 (define @t78 () (= (not (forall @t32 @t77)) (not (forall @t17 @t66)))) % 17.61/18.09 (define @t79 () (and @t15 @t14 @t13 @t61)) % 17.61/18.09 (define @t80 () (forall @t17 (not @t79))) % 17.61/18.09 (define @t81 () (not @t80)) % 17.61/18.09 (define @t82 () (or @t59 @t58 @t57)) % 17.61/18.09 (define @t83 () (and @t30 @t29 @t28 @t72)) % 17.61/18.09 (define @t84 () (forall @t32 (not @t83))) % 17.61/18.09 (define @t85 () (not @t84)) % 17.61/18.09 (define @t86 () (or @t70 @t69 @t68)) % 17.61/18.09 (define @t87 () (not (tptp.cnt @t2 tptp.some_action tptp.some_target))) % 17.61/18.09 (define @t88 () (not (tptp.part_of @t2 tptp.rho1))) % 17.61/18.09 (define @t89 () (forall @t17 (or @t65 (not (tptp.part_of @t1 tptp.rho1)) (not (tptp.cnt @t1 tptp.some_action tptp.some_target)) (not (forall @t11 (or @t59 @t88 @t87 @t56)))))) % 17.61/18.09 (define @t90 () (not @t89)) % 17.61/18.09 (define @t91 () (not @t52)) % 17.61/18.09 (define @t92 () (not @t53)) % 17.61/18.09 (define @t93 () (forall @t32 (or @t76 (not (tptp.part_of @t19 tptp.rho1)) (not (tptp.cnt @t19 tptp.some_action tptp.some_target)) (not (forall @t26 (or @t70 @t92 @t91 @t67)))))) % 17.61/18.09 (define @t94 () (not @t93)) % 17.61/18.09 (define @t95 () (= @t94 @t90)) % 17.61/18.09 (define @t96 () (not @t39)) % 17.61/18.09 (define @t97 () (or @t96 @t95)) % 17.61/18.09 (define @t98 () (@list false false)) % 17.61/18.09 (define @t99 () (@quantifiers_skolemize @t89 0)) % 17.61/18.09 (define @t100 () (forall @t11 (or @t59 @t88 @t87 (= @t2 @t99)))) % 17.61/18.09 (define @t101 () (= tptp.n1 @t99)) % 17.61/18.09 (define @t102 () (not @t47)) % 17.61/18.09 (define @t103 () (not @t44)) % 17.61/18.09 (define @t104 () (not @t41)) % 17.61/18.09 (define @t105 () (or @t104 @t103 @t102 @t101)) % 17.61/18.09 (define @t106 () (= tptp.n2 @t99)) % 17.61/18.09 (define @t107 () (not @t48)) % 17.61/18.09 (define @t108 () (not @t45)) % 17.61/18.09 (define @t109 () (not @t42)) % 17.61/18.09 (define @t110 () (or @t109 @t108 @t107 @t106)) % 17.61/18.09 (define @t111 () (not @t106)) % 17.61/18.09 (define @t112 () (not @t101)) % 17.61/18.09 (define @t113 () (and @t101 @t106 @t50)) % 17.61/18.09 (define @t114 () (not @t100)) % 17.61/18.09 (define @t115 () (not (tptp.cnt @t99 tptp.some_action tptp.some_target))) % 17.61/18.09 (define @t116 () (not (tptp.part_of @t99 tptp.rho1))) % 17.61/18.09 (define @t117 () (not (tptp.no_right @t99))) % 17.61/18.09 (define @t118 () (or @t117 @t116 @t115 @t114)) % 17.61/18.09 (define @t119 () (not @t118)) % 17.61/18.09 (define @t120 () (or @t59 @t88 @t87 (= @t99 @t2))) % 17.61/18.09 (define @t121 () (forall @t11 @t120)) % 17.61/18.09 (define @t122 () (not @t121)) % 17.61/18.09 (define @t123 () (or @t117 @t116 @t115 @t122)) % 17.61/18.09 (define @t124 () (not @t123)) % 17.61/18.09 (define @t125 () (not @t95)) % 17.61/18.09 (define @t126 () (or @t70 @t92 @t91 @t51)) % 17.61/18.09 (define @t127 () (or @t70 @t92 @t91)) % 17.61/18.09 (define @t128 () (forall @t26 @t126)) % 17.61/18.09 (define @t129 () (not @t128)) % 17.61/18.09 (define @t130 () (not @t46)) % 17.61/18.09 (define @t131 () (not @t43)) % 17.61/18.09 (define @t132 () (not @t40)) % 17.61/18.09 (define @t133 () (or @t132 @t131 @t130 @t129)) % 17.61/18.09 (define @t134 () (not @t133)) % 17.61/18.09 (define @t135 () (or @t70 @t92 @t91 (= tptp.l @t20))) % 17.61/18.09 (define @t136 () (forall @t26 @t135)) % 17.61/18.09 (define @t137 () (not @t136)) % 17.61/18.09 (define @t138 () (or @t132 @t131 @t130 @t137)) % 17.61/18.09 (assume @p1 @t38) % 17.61/18.09 (assume @p2 (tptp.position tptp.l)) % 17.61/18.09 (assume @p3 (tptp.position tptp.n1)) % 17.61/18.09 (assume @p4 (tptp.position tptp.n2)) % 17.61/18.09 (assume @p5 (tptp.legal_relator tptp.rho1)) % 17.61/18.09 (assume @p6 @t39) % 17.61/18.09 (assume @p7 @t40) % 17.61/18.09 (assume @p8 @t41) % 17.61/18.09 (assume @p9 @t42) % 17.61/18.09 (assume @p10 @t43) % 17.61/18.09 (assume @p11 @t44) % 17.61/18.09 (assume @p12 @t45) % 17.61/18.09 (assume @p13 @t46) % 17.61/18.09 (assume @p14 @t47) % 17.61/18.09 (assume @p15 @t48) % 17.61/18.09 (assume @p16 (tptp.action tptp.some_action)) % 17.61/18.09 (assume @p17 (tptp.target tptp.some_target)) % 17.61/18.09 (assume @p18 @t50) % 17.61/18.09 (assume @p19 @t55) % 17.61/18.09 (step @p20 :rule bool-impl-elim :args (@t35 @t78)) % 17.61/18.09 (step @p21 :rule cong :premises (@p20) :args ((forall @t37 (=> @t35 @t78)))) % 17.61/18.09 (step @p22 :rule aci_norm :args ((= (or @t65 (or @t64 (or @t63 @t62))) @t66))) % 17.61/18.09 (step @p23 :rule bool-and-de-morgan :args (@t13 @t61 true)) % 17.61/18.09 (step @p24 :rule refl :args (@t64)) % 17.61/18.09 (step @p25 :rule nary_cong :premises (@p24 @p23) :args ((or @t64 (not (and @t13 @t61))))) % 17.61/18.09 (step @p26 :rule bool-and-de-morgan :args (@t14 @t13 (and @t61))) % 17.61/18.09 (step @p27 :rule trans :premises (@p26 @p25)) % 17.61/18.09 (step @p28 :rule refl :args (@t65)) % 17.61/18.09 (step @p29 :rule nary_cong :premises (@p28 @p27) :args ((or @t65 (not (and @t14 @t13 @t61))))) % 17.61/18.09 (step @p30 :rule bool-and-de-morgan :args (@t15 @t14 (and @t13 @t61))) % 17.61/18.09 (step @p31 :rule trans :premises (@p30 @p29)) % 17.61/18.09 (step @p32 :rule trans :premises (@p31 @p22)) % 17.61/18.09 (step @p33 :rule cong :premises (@p32) :args (@t80)) % 17.61/18.09 (step @p34 :rule cong :premises (@p33) :args (@t81)) % 17.61/18.09 (step @p35 :rule exists-elim :args ((= (exists @t17 @t79) @t81))) % 17.61/18.09 (step @p36 :rule trans :premises (@p35 @p34)) % 17.61/18.09 (step @p37 :rule aci_norm :args ((= (or @t82 @t56) @t60))) % 17.61/18.09 (step @p38 :rule refl :args (@t56)) % 17.61/18.09 (step @p39 :rule aci_norm :args ((= (or @t59 (or @t58 @t57)) @t82))) % 17.61/18.09 (step @p40 :rule bool-and-de-morgan :args (@t7 @t5 true)) % 17.61/18.09 (step @p41 :rule refl :args (@t59)) % 17.61/18.09 (step @p42 :rule nary_cong :premises (@p41 @p40) :args ((or @t59 (not (and @t7 @t5))))) % 17.61/18.09 (step @p43 :rule bool-and-de-morgan :args (@t8 @t7 (and @t5))) % 17.61/18.09 (step @p44 :rule trans :premises (@p43 @p42)) % 17.61/18.09 (step @p45 :rule trans :premises (@p44 @p39)) % 17.61/18.09 (step @p46 :rule nary_cong :premises (@p45 @p38) :args ((or (not @t9) @t56))) % 17.61/18.09 (step @p47 :rule trans :premises (@p46 @p37)) % 17.61/18.09 (step @p48 :rule bool-impl-elim :args (@t9 @t56)) % 17.61/18.09 (step @p49 :rule trans :premises (@p48 @p47)) % 17.61/18.09 (step @p50 :rule cong :premises (@p49) :args ((forall @t11 (=> @t9 @t56)))) % 17.61/18.09 (step @p51 :rule eq-symm :args (@t2 @t1)) % 17.61/18.09 (step @p52 :rule refl :args (@t9)) % 17.61/18.09 (step @p53 :rule cong :premises (@p52 @p51) :args (@t10)) % 17.61/18.09 (step @p54 :rule cong :premises (@p53) :args (@t12)) % 17.61/18.09 (step @p55 :rule trans :premises (@p54 @p50)) % 17.61/18.09 (step @p56 :rule refl :args (@t13)) % 17.61/18.09 (step @p57 :rule refl :args (@t14)) % 17.61/18.09 (step @p58 :rule refl :args (@t15)) % 17.61/18.09 (step @p59 :rule nary_cong :premises (@p58 @p57 @p56 @p55) :args (@t16)) % 17.61/18.09 (step @p60 :rule cong :premises (@p59) :args (@t18)) % 17.61/18.09 (step @p61 :rule trans :premises (@p60 @p36)) % 17.61/18.09 (step @p62 :rule aci_norm :args ((= (or @t76 (or @t75 (or @t74 @t73))) @t77))) % 17.61/18.09 (step @p63 :rule bool-and-de-morgan :args (@t28 @t72 true)) % 17.61/18.09 (step @p64 :rule refl :args (@t75)) % 17.61/18.09 (step @p65 :rule nary_cong :premises (@p64 @p63) :args ((or @t75 (not (and @t28 @t72))))) % 17.61/18.09 (step @p66 :rule bool-and-de-morgan :args (@t29 @t28 (and @t72))) % 17.61/18.09 (step @p67 :rule trans :premises (@p66 @p65)) % 17.61/18.09 (step @p68 :rule refl :args (@t76)) % 17.61/18.09 (step @p69 :rule nary_cong :premises (@p68 @p67) :args ((or @t76 (not (and @t29 @t28 @t72))))) % 17.61/18.09 (step @p70 :rule bool-and-de-morgan :args (@t30 @t29 (and @t28 @t72))) % 17.61/18.09 (step @p71 :rule trans :premises (@p70 @p69)) % 17.61/18.09 (step @p72 :rule trans :premises (@p71 @p62)) % 17.61/18.09 (step @p73 :rule cong :premises (@p72) :args (@t84)) % 17.61/18.09 (step @p74 :rule cong :premises (@p73) :args (@t85)) % 17.61/18.09 (step @p75 :rule exists-elim :args ((= (exists @t32 @t83) @t85))) % 17.61/18.09 (step @p76 :rule trans :premises (@p75 @p74)) % 17.61/18.09 (step @p77 :rule aci_norm :args ((= (or @t86 @t67) @t71))) % 17.61/18.09 (step @p78 :rule refl :args (@t67)) % 17.61/18.09 (step @p79 :rule aci_norm :args ((= (or @t70 (or @t69 @t68)) @t86))) % 17.61/18.09 (step @p80 :rule bool-and-de-morgan :args (@t22 @t21 true)) % 17.61/18.09 (step @p81 :rule refl :args (@t70)) % 17.61/18.09 (step @p82 :rule nary_cong :premises (@p81 @p80) :args ((or @t70 (not (and @t22 @t21))))) % 17.61/18.09 (step @p83 :rule bool-and-de-morgan :args (@t23 @t22 (and @t21))) % 17.61/18.09 (step @p84 :rule trans :premises (@p83 @p82)) % 17.61/18.09 (step @p85 :rule trans :premises (@p84 @p79)) % 17.61/18.09 (step @p86 :rule nary_cong :premises (@p85 @p78) :args ((or (not @t24) @t67))) % 17.61/18.09 (step @p87 :rule trans :premises (@p86 @p77)) % 17.61/18.09 (step @p88 :rule bool-impl-elim :args (@t24 @t67)) % 17.61/18.09 (step @p89 :rule trans :premises (@p88 @p87)) % 17.61/18.09 (step @p90 :rule cong :premises (@p89) :args ((forall @t26 (=> @t24 @t67)))) % 17.61/18.09 (step @p91 :rule eq-symm :args (@t20 @t19)) % 17.61/18.09 (step @p92 :rule refl :args (@t24)) % 17.61/18.09 (step @p93 :rule cong :premises (@p92 @p91) :args (@t25)) % 17.61/18.09 (step @p94 :rule cong :premises (@p93) :args (@t27)) % 17.61/18.09 (step @p95 :rule trans :premises (@p94 @p90)) % 17.61/18.09 (step @p96 :rule refl :args (@t28)) % 17.61/18.09 (step @p97 :rule refl :args (@t29)) % 17.61/18.09 (step @p98 :rule refl :args (@t30)) % 17.61/18.09 (step @p99 :rule nary_cong :premises (@p98 @p97 @p96 @p95) :args (@t31)) % 17.61/18.09 (step @p100 :rule cong :premises (@p99) :args (@t33)) % 17.61/18.09 (step @p101 :rule trans :premises (@p100 @p76)) % 17.61/18.09 (step @p102 :rule cong :premises (@p101 @p61) :args (@t34)) % 17.61/18.09 (step @p103 :rule refl :args (@t35)) % 17.61/18.09 (step @p104 :rule cong :premises (@p103 @p102) :args (@t36)) % 17.61/18.09 (step @p105 :rule cong :premises (@p104) :args (@t38)) % 17.61/18.09 (step @p106 :rule trans :premises (@p105 @p21)) % 17.61/18.09 (step @p107 :rule eq_resolve :premises (@p1 @p106)) % 17.61/18.09 (step @p108 :rule instantiate :premises (@p107) :args ((@list tptp.rho1 tptp.some_action tptp.some_target))) % 17.61/18.09 (step @p109 :rule cnf_or_pos :args (@t97)) % 17.61/18.09 (step @p110 :rule reordering :premises (@p109) :args ((or @t96 @t95 (not @t97)))) % 17.61/18.09 (step @p111 :rule chain_m_resolution :premises (@p110 @p6 @p108) :args (@t95 @t98 (@list @t39 @t97))) % 17.61/18.09 (assume-push @p234 @t100) % 17.61/18.09 (step @p113 :rule instantiate :premises (@p234) :args ((@list tptp.n1))) % 17.61/18.09 (step-pop @p235 :rule scope :premises (@p113)) % 17.61/18.09 (step @p114 :rule process_scope :premises (@p235) :args (@t105)) % 17.61/18.09 (step @p116 :rule implies_elim :premises (@p114)) % 17.61/18.09 (assume-push @p236 @t100) % 17.61/18.09 (step @p118 :rule instantiate :premises (@p236) :args ((@list tptp.n2))) % 17.61/18.09 (step-pop @p237 :rule scope :premises (@p118)) % 17.61/18.09 (step @p119 :rule process_scope :premises (@p237) :args (@t110)) % 17.61/18.09 (step @p121 :rule implies_elim :premises (@p119)) % 17.61/18.09 (step @p122 :rule cnf_or_pos :args (@t105)) % 17.61/18.09 (step @p123 :rule reordering :premises (@p122) :args ((or @t104 @t103 @t102 @t101 (not @t105)))) % 17.61/18.09 (step @p124 :rule cnf_or_pos :args (@t110)) % 17.61/18.09 (step @p125 :rule reordering :premises (@p124) :args ((or @t109 @t108 @t107 @t106 (not @t110)))) % 17.61/18.09 (step @p126 :rule refl :args (@t111)) % 17.61/18.09 (step @p127 :rule refl :args (@t112)) % 17.61/18.09 (step @p128 :rule bool-double-not-elim :args (@t49)) % 17.61/18.09 (step @p129 :rule nary_cong :premises (@p128 @p127 @p126) :args ((or (not @t50) @t112 @t111))) % 17.61/18.09 (assume-push @p238 @t101) % 17.61/18.09 (assume-push @p239 @t106) % 17.61/18.09 (assume-push @p240 @t50) % 17.61/18.09 (step @p133 :rule evaluate :args ((= false true))) % 17.61/18.09 (step @p134 :rule symm :premises (@p239)) % 17.61/18.09 (step @p135 :rule trans :premises (@p238 @p134)) % 17.61/18.09 (step @p136 :rule true_intro :premises (@p135)) % 17.61/18.09 (step @p137 :rule false_intro :premises (@p18)) % 17.61/18.09 (step @p138 :rule symm :premises (@p137)) % 17.61/18.09 (step @p139 :rule trans :premises (@p138 @p136)) % 17.61/18.09 (step @p140 false :rule eq_resolve :premises (@p139 @p133)) % 17.61/18.09 (step-pop @p241 :rule scope :premises (@p140)) % 17.61/18.09 (step-pop @p242 :rule scope :premises (@p241)) % 17.61/18.09 (step-pop @p243 :rule scope :premises (@p242)) % 17.61/18.09 (step @p141 :rule process_scope :premises (@p243) :args (false)) % 17.61/18.09 (assume-push @p244 @t50) % 17.61/18.09 (assume-push @p245 @t101) % 17.61/18.09 (assume-push @p246 @t106) % 17.61/18.09 (step @p148 :rule and_intro :premises (@p245 @p246 @p18)) % 17.61/18.09 (step-pop @p247 :rule scope :premises (@p148)) % 17.61/18.09 (step-pop @p248 :rule scope :premises (@p247)) % 17.61/18.09 (step-pop @p249 :rule scope :premises (@p248)) % 17.61/18.09 (step @p149 :rule process_scope :premises (@p249) :args (@t113)) % 17.61/18.09 (step @p153 :rule implies_elim :premises (@p149)) % 17.61/18.09 (step @p154 :rule resolution :premises (@p153 @p141) :args (true @t113)) % 17.61/18.09 (step @p155 :rule not_and :premises (@p154)) % 17.61/18.09 (step @p156 :rule eq_resolve :premises (@p155 @p129)) % 17.61/18.09 (step @p157 :rule chain_m_resolution :premises (@p156 @p18 @p125 @p15 @p12 @p9 @p123 @p14 @p11 @p8 @p121 @p116) :args (@t114 (@list true false false false false false false false false false false) (@list @t49 @t106 @t48 @t45 @t42 @t101 @t47 @t44 @t41 @t110 @t105))) % 17.61/18.09 (step @p158 :rule bool-double-not-elim :args (@t100)) % 17.61/18.09 (step @p159 :rule refl :args (@t118)) % 17.61/18.09 (step @p160 :rule nary_cong :premises (@p159 @p158) :args ((or @t118 (not @t114)))) % 17.61/18.09 (step @p161 :rule cnf_or_neg :args (@t118 3)) % 17.61/18.09 (step @p162 :rule eq_resolve :premises (@p161 @p160)) % 17.61/18.09 (step @p163 :rule reordering :premises (@p162) :args ((or @t100 @t118))) % 17.61/18.09 (step @p164 :rule chain_m_resolution :premises (@p163 @p157) :args (@t118 (@list true) (@list @t100))) % 17.61/18.09 (step @p165 :rule refl :args (@t119)) % 17.61/18.09 (step @p166 :rule bool-double-not-elim :args (@t89)) % 17.61/18.09 (step @p167 :rule nary_cong :premises (@p166 @p165) :args ((or (not @t90) @t119))) % 17.61/18.09 (step @p168 :rule eq-symm :args (@t99 @t2)) % 17.61/18.09 (step @p169 :rule refl :args (@t87)) % 17.61/18.09 (step @p170 :rule refl :args (@t88)) % 17.61/18.09 (step @p171 :rule refl :args (@t59)) % 17.61/18.09 (step @p172 :rule nary_cong :premises (@p171 @p170 @p169 @p168) :args (@t120)) % 17.61/18.09 (step @p173 :rule cong :premises (@p172) :args (@t121)) % 17.61/18.09 (step @p174 :rule cong :premises (@p173) :args (@t122)) % 17.61/18.09 (step @p175 :rule refl :args (@t115)) % 17.61/18.09 (step @p176 :rule refl :args (@t116)) % 17.61/18.09 (step @p177 :rule refl :args (@t117)) % 17.61/18.09 (step @p178 :rule nary_cong :premises (@p177 @p176 @p175 @p174) :args (@t123)) % 17.61/18.09 (step @p179 :rule cong :premises (@p178) :args (@t124)) % 17.61/18.09 (step @p180 :rule refl :args (@t90)) % 17.61/18.09 (step @p181 :rule cong :premises (@p180 @p179) :args ((=> @t90 @t124))) % 17.61/18.09 (assume-push @p250 @t90) % 17.61/18.09 (step @p183 :rule skolemize :premises (@p250)) % 17.61/18.09 (step-pop @p251 :rule scope :premises (@p183)) % 17.61/18.09 (step @p184 :rule process_scope :premises (@p251) :args (@t124)) % 17.61/18.09 (step @p186 :rule eq_resolve :premises (@p184 @p181)) % 17.61/18.09 (step @p187 :rule implies_elim :premises (@p186)) % 17.61/18.09 (step @p188 :rule eq_resolve :premises (@p187 @p167)) % 17.61/18.09 (step @p189 :rule chain_m_resolution :premises (@p188 @p164) :args (@t89 (@list false) (@list @t118))) % 17.61/18.09 (step @p190 :rule bool-double-not-elim :args (@t93)) % 17.61/18.09 (step @p191 :rule refl :args (@t125)) % 17.61/18.09 (step @p192 :rule nary_cong :premises (@p191 @p190 @p180) :args ((or @t125 (not @t94) @t90))) % 17.61/18.09 (step @p193 :rule cnf_equiv_pos1 :args (@t95)) % 17.61/18.09 (step @p194 :rule eq_resolve :premises (@p193 @p192)) % 17.61/18.09 (step @p195 :rule reordering :premises (@p194) :args ((or @t93 @t90 @t125))) % 17.61/18.09 (step @p196 :rule chain_m_resolution :premises (@p195 @p189 @p111) :args (@t93 @t98 (@list @t89 @t95))) % 17.61/18.09 (step @p197 :rule aci_norm :args ((= (or @t127 @t51) @t126))) % 17.61/18.09 (step @p198 :rule refl :args (@t51)) % 17.61/18.09 (step @p199 :rule aci_norm :args ((= (or @t70 (or @t92 @t91)) @t127))) % 17.61/18.09 (step @p200 :rule bool-and-de-morgan :args (@t53 @t52 true)) % 17.61/18.09 (step @p201 :rule nary_cong :premises (@p81 @p200) :args ((or @t70 (not (and @t53 @t52))))) % 17.61/18.09 (step @p202 :rule bool-and-de-morgan :args (@t23 @t53 (and @t52))) % 17.61/18.09 (step @p203 :rule trans :premises (@p202 @p201)) % 17.61/18.09 (step @p204 :rule trans :premises (@p203 @p199)) % 17.61/18.09 (step @p205 :rule nary_cong :premises (@p204 @p198) :args ((or (not @t54) @t51))) % 17.61/18.09 (step @p206 :rule trans :premises (@p205 @p197)) % 17.61/18.09 (step @p207 :rule bool-impl-elim :args (@t54 @t51)) % 17.61/18.09 (step @p208 :rule trans :premises (@p207 @p206)) % 17.61/18.09 (step @p209 :rule cong :premises (@p208) :args (@t55)) % 17.61/18.09 (step @p210 :rule eq_resolve :premises (@p19 @p209)) % 17.61/18.09 (step @p211 :rule cnf_or_pos :args (@t133)) % 17.61/18.09 (step @p212 :rule reordering :premises (@p211) :args ((or @t132 @t131 @t130 @t129 @t134))) % 17.61/18.09 (step @p213 :rule chain_m_resolution :premises (@p212 @p7 @p10 @p13 @p210) :args (@t134 (@list false false false false) (@list @t40 @t43 @t46 @t128))) % 17.61/18.09 (step @p214 :rule eq-symm :args (tptp.l @t20)) % 17.61/18.09 (step @p215 :rule refl :args (@t91)) % 17.61/18.09 (step @p216 :rule refl :args (@t92)) % 17.61/18.09 (step @p217 :rule refl :args (@t70)) % 17.61/18.09 (step @p218 :rule nary_cong :premises (@p217 @p216 @p215 @p214) :args (@t135)) % 17.61/18.09 (step @p219 :rule cong :premises (@p218) :args (@t136)) % 17.61/18.09 (step @p220 :rule cong :premises (@p219) :args (@t137)) % 17.61/18.09 (step @p221 :rule refl :args (@t130)) % 17.61/18.09 (step @p222 :rule refl :args (@t131)) % 17.61/18.09 (step @p223 :rule refl :args (@t132)) % 17.61/18.09 (step @p224 :rule nary_cong :premises (@p223 @p222 @p221 @p220) :args (@t138)) % 17.61/18.09 (step @p225 :rule refl :args (@t93)) % 17.61/18.09 (step @p226 :rule cong :premises (@p225 @p224) :args ((=> @t93 @t138))) % 17.61/18.09 (assume-push @p252 @t93) % 17.61/18.09 (step @p228 :rule instantiate :premises (@p252) :args ((@list tptp.l))) % 17.61/18.09 (step-pop @p253 :rule scope :premises (@p228)) % 17.61/18.09 (step @p229 :rule process_scope :premises (@p253) :args (@t138)) % 17.61/18.09 (step @p231 :rule eq_resolve :premises (@p229 @p226)) % 17.61/18.09 (step @p232 :rule implies_elim :premises (@p231)) % 17.61/18.09 (step @p233 false :rule chain_m_resolution :premises (@p232 @p213 @p196) :args (false (@list true false) (@list @t133 @t93))) % 17.61/18.09 ) % 17.61/18.09 % SZS output end Proof % 17.61/18.10 % cvc5 exiting %------------------------------------------------------------------------------