%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ALG036+1 : TPTP v9.2.1. Released v2.7.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n028.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 08:05:04 AM UTC 2026 % Result : Theorem 0.38s 0.58s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ALG036+1 : TPTP v9.2.1. Released v2.7.0. % 0.13/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n028.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Wed Jun 3 01:38:05 EDT 2026 % 0.17/0.34 % CPUTime : % 0.30/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.38/0.58 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.38/0.58 % SZS status Theorem % 0.38/0.58 % SZS output start Proof % 0.38/0.58 ( % 0.38/0.58 (declare-sort $$unsorted 0) % 0.38/0.58 (declare-const tptp.unit $$unsorted) % 0.38/0.58 (declare-const tptp.e0 $$unsorted) % 0.38/0.58 (declare-const tptp.e1 $$unsorted) % 0.38/0.58 (declare-const tptp.e2 $$unsorted) % 0.38/0.58 (declare-const tptp.op (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.58 (declare-const tptp.e3 $$unsorted) % 0.38/0.58 (define @t1 () (tptp.op tptp.e3 tptp.e3)) % 0.38/0.58 (define @t2 () (= @t1 tptp.e3)) % 0.38/0.58 (define @t3 () (= @t1 tptp.e2)) % 0.38/0.58 (define @t4 () (= @t1 tptp.e1)) % 0.38/0.58 (define @t5 () (= @t1 tptp.e0)) % 0.38/0.58 (define @t6 () (tptp.op tptp.e3 tptp.e2)) % 0.38/0.58 (define @t7 () (= @t6 tptp.e3)) % 0.38/0.58 (define @t8 () (= @t6 tptp.e2)) % 0.38/0.58 (define @t9 () (= @t6 tptp.e1)) % 0.38/0.58 (define @t10 () (= @t6 tptp.e0)) % 0.38/0.58 (define @t11 () (tptp.op tptp.e3 tptp.e1)) % 0.38/0.58 (define @t12 () (= @t11 tptp.e3)) % 0.38/0.58 (define @t13 () (= @t11 tptp.e2)) % 0.38/0.58 (define @t14 () (= @t11 tptp.e1)) % 0.38/0.58 (define @t15 () (= @t11 tptp.e0)) % 0.38/0.58 (define @t16 () (tptp.op tptp.e3 tptp.e0)) % 0.38/0.58 (define @t17 () (= @t16 tptp.e3)) % 0.38/0.58 (define @t18 () (= @t16 tptp.e2)) % 0.38/0.58 (define @t19 () (= @t16 tptp.e1)) % 0.38/0.58 (define @t20 () (= @t16 tptp.e0)) % 0.38/0.58 (define @t21 () (tptp.op tptp.e2 tptp.e3)) % 0.38/0.58 (define @t22 () (= @t21 tptp.e3)) % 0.38/0.58 (define @t23 () (= @t21 tptp.e2)) % 0.38/0.58 (define @t24 () (= @t21 tptp.e1)) % 0.38/0.58 (define @t25 () (= @t21 tptp.e0)) % 0.38/0.58 (define @t26 () (tptp.op tptp.e2 tptp.e2)) % 0.38/0.58 (define @t27 () (= @t26 tptp.e3)) % 0.38/0.58 (define @t28 () (= @t26 tptp.e2)) % 0.38/0.58 (define @t29 () (= @t26 tptp.e1)) % 0.38/0.58 (define @t30 () (= @t26 tptp.e0)) % 0.38/0.58 (define @t31 () (tptp.op tptp.e2 tptp.e1)) % 0.38/0.58 (define @t32 () (= @t31 tptp.e3)) % 0.38/0.58 (define @t33 () (= @t31 tptp.e2)) % 0.38/0.58 (define @t34 () (= @t31 tptp.e1)) % 0.38/0.58 (define @t35 () (= @t31 tptp.e0)) % 0.38/0.58 (define @t36 () (tptp.op tptp.e2 tptp.e0)) % 0.38/0.58 (define @t37 () (= @t36 tptp.e3)) % 0.38/0.58 (define @t38 () (= @t36 tptp.e2)) % 0.38/0.58 (define @t39 () (= @t36 tptp.e1)) % 0.38/0.58 (define @t40 () (= @t36 tptp.e0)) % 0.38/0.58 (define @t41 () (tptp.op tptp.e1 tptp.e3)) % 0.38/0.58 (define @t42 () (= @t41 tptp.e3)) % 0.38/0.58 (define @t43 () (= @t41 tptp.e2)) % 0.38/0.58 (define @t44 () (= @t41 tptp.e1)) % 0.38/0.58 (define @t45 () (= @t41 tptp.e0)) % 0.38/0.58 (define @t46 () (tptp.op tptp.e1 tptp.e2)) % 0.38/0.58 (define @t47 () (= @t46 tptp.e3)) % 0.38/0.58 (define @t48 () (= @t46 tptp.e2)) % 0.38/0.58 (define @t49 () (= @t46 tptp.e1)) % 0.38/0.58 (define @t50 () (= @t46 tptp.e0)) % 0.38/0.58 (define @t51 () (tptp.op tptp.e1 tptp.e1)) % 0.38/0.58 (define @t52 () (= @t51 tptp.e3)) % 0.38/0.58 (define @t53 () (= @t51 tptp.e2)) % 0.38/0.58 (define @t54 () (= @t51 tptp.e1)) % 0.38/0.58 (define @t55 () (= @t51 tptp.e0)) % 0.38/0.58 (define @t56 () (tptp.op tptp.e1 tptp.e0)) % 0.38/0.58 (define @t57 () (= @t56 tptp.e3)) % 0.38/0.58 (define @t58 () (= @t56 tptp.e2)) % 0.38/0.58 (define @t59 () (= @t56 tptp.e1)) % 0.38/0.58 (define @t60 () (= @t56 tptp.e0)) % 0.38/0.58 (define @t61 () (tptp.op tptp.e0 tptp.e3)) % 0.38/0.58 (define @t62 () (= @t61 tptp.e3)) % 0.38/0.58 (define @t63 () (= @t61 tptp.e2)) % 0.38/0.58 (define @t64 () (= @t61 tptp.e1)) % 0.38/0.58 (define @t65 () (= @t61 tptp.e0)) % 0.38/0.58 (define @t66 () (tptp.op tptp.e0 tptp.e2)) % 0.38/0.58 (define @t67 () (= @t66 tptp.e3)) % 0.38/0.58 (define @t68 () (= @t66 tptp.e2)) % 0.38/0.58 (define @t69 () (= @t66 tptp.e1)) % 0.38/0.58 (define @t70 () (= @t66 tptp.e0)) % 0.38/0.58 (define @t71 () (tptp.op tptp.e0 tptp.e1)) % 0.38/0.58 (define @t72 () (= @t71 tptp.e3)) % 0.38/0.58 (define @t73 () (= @t71 tptp.e2)) % 0.38/0.58 (define @t74 () (= @t71 tptp.e1)) % 0.38/0.58 (define @t75 () (= @t71 tptp.e0)) % 0.38/0.58 (define @t76 () (tptp.op tptp.e0 tptp.e0)) % 0.38/0.58 (define @t77 () (= @t76 tptp.e3)) % 0.38/0.58 (define @t78 () (= @t76 tptp.e2)) % 0.38/0.58 (define @t79 () (= @t76 tptp.e1)) % 0.38/0.58 (define @t80 () (= @t76 tptp.e0)) % 0.38/0.58 (define @t81 () (= tptp.unit tptp.e0)) % 0.38/0.58 (define @t82 () (tptp.op tptp.e3 tptp.unit)) % 0.38/0.58 (define @t83 () (tptp.op tptp.e2 tptp.unit)) % 0.38/0.58 (define @t84 () (tptp.op tptp.e1 tptp.unit)) % 0.38/0.58 (define @t85 () (tptp.op tptp.e0 tptp.unit)) % 0.38/0.58 (define @t86 () (and @t77 @t52 @t27 @t2)) % 0.38/0.58 (define @t87 () (and @t78 @t53 @t28 @t3)) % 0.38/0.58 (define @t88 () (and @t79 @t54 @t29 @t4)) % 0.38/0.58 (define @t89 () (and @t80 @t55 @t30 @t5)) % 0.38/0.58 (define @t90 () (or @t89 @t88 @t87 @t86)) % 0.38/0.58 (define @t91 () (not @t90)) % 0.38/0.58 (define @t92 () (or @t89 @t88 @t87 @t86 @t91)) % 0.38/0.58 (define @t93 () (not @t92)) % 0.38/0.58 (define @t94 () (= tptp.e3 @t76)) % 0.38/0.58 (define @t95 () (not @t94)) % 0.38/0.58 (define @t96 () (= tptp.e0 tptp.unit)) % 0.38/0.58 (define @t97 () (not @t96)) % 0.38/0.58 (define @t98 () (= @t16 @t76)) % 0.38/0.58 (define @t99 () (= tptp.e3 @t82)) % 0.38/0.58 (define @t100 () (not @t99)) % 0.38/0.58 (define @t101 () (not @t98)) % 0.38/0.58 (define @t102 () (and @t99 @t101 @t96)) % 0.38/0.58 (define @t103 () (@list true false false)) % 0.38/0.58 (define @t104 () (and @t94 (= tptp.e3 @t51) (= tptp.e3 @t26) (= tptp.e3 @t1))) % 0.38/0.58 (define @t105 () (not @t104)) % 0.38/0.58 (define @t106 () (@list true)) % 0.38/0.58 (define @t107 () (= tptp.e2 @t76)) % 0.38/0.58 (define @t108 () (not @t107)) % 0.38/0.58 (define @t109 () (= @t36 @t76)) % 0.38/0.58 (define @t110 () (= tptp.e2 @t83)) % 0.38/0.58 (define @t111 () (not @t110)) % 0.38/0.58 (define @t112 () (not @t109)) % 0.38/0.58 (define @t113 () (and @t110 @t112 @t96)) % 0.38/0.58 (define @t114 () (and @t107 (= tptp.e2 @t51) (= tptp.e2 @t26) (= tptp.e2 @t1))) % 0.38/0.58 (define @t115 () (not @t114)) % 0.38/0.58 (define @t116 () (= tptp.e1 @t76)) % 0.38/0.58 (define @t117 () (not @t116)) % 0.38/0.58 (define @t118 () (= @t56 @t76)) % 0.38/0.58 (define @t119 () (= tptp.e1 @t84)) % 0.38/0.58 (define @t120 () (not @t119)) % 0.38/0.58 (define @t121 () (not @t118)) % 0.38/0.58 (define @t122 () (and @t119 @t121 @t96)) % 0.38/0.58 (define @t123 () (and @t116 (= tptp.e1 @t51) (= tptp.e1 @t26) (= tptp.e1 @t1))) % 0.38/0.58 (define @t124 () (not @t123)) % 0.38/0.58 (define @t125 () (= tptp.e0 @t1)) % 0.38/0.58 (define @t126 () (= tptp.e0 @t26)) % 0.38/0.58 (define @t127 () (= tptp.e0 @t51)) % 0.38/0.58 (define @t128 () (= tptp.e0 @t76)) % 0.38/0.58 (define @t129 () (and @t128 @t127 @t126 @t125)) % 0.38/0.58 (define @t130 () (not @t129)) % 0.38/0.58 (define @t131 () (@list false)) % 0.38/0.58 (define @t132 () (@list @t129)) % 0.38/0.58 (assume @p1 (and (or @t80 @t79 @t78 @t77) (or @t75 @t74 @t73 @t72) (or @t70 @t69 @t68 @t67) (or @t65 @t64 @t63 @t62) (or @t60 @t59 @t58 @t57) (or @t55 @t54 @t53 @t52) (or @t50 @t49 @t48 @t47) (or @t45 @t44 @t43 @t42) (or @t40 @t39 @t38 @t37) (or @t35 @t34 @t33 @t32) (or @t30 @t29 @t28 @t27) (or @t25 @t24 @t23 @t22) (or @t20 @t19 @t18 @t17) (or @t15 @t14 @t13 @t12) (or @t10 @t9 @t8 @t7) (or @t5 @t4 @t3 @t2))) % 0.38/0.58 (assume @p2 (and (= (tptp.op tptp.unit tptp.e0) tptp.e0) (= @t85 tptp.e0) (= (tptp.op tptp.unit tptp.e1) tptp.e1) (= @t84 tptp.e1) (= (tptp.op tptp.unit tptp.e2) tptp.e2) (= @t83 tptp.e2) (= (tptp.op tptp.unit tptp.e3) tptp.e3) (= @t82 tptp.e3) (or @t81 (= tptp.unit tptp.e1) (= tptp.unit tptp.e2) (= tptp.unit tptp.e3)))) % 0.38/0.58 (assume @p3 (and (or @t80 @t75 @t70 @t65) (or @t80 @t60 @t40 @t20) (or @t79 @t74 @t69 @t64) (or @t79 @t59 @t39 @t19) (or @t78 @t73 @t68 @t63) (or @t78 @t58 @t38 @t18) (or @t77 @t72 @t67 @t62) (or @t77 @t57 @t37 @t17) (or @t60 @t55 @t50 @t45) (or @t75 @t55 @t35 @t15) (or @t59 @t54 @t49 @t44) (or @t74 @t54 @t34 @t14) (or @t58 @t53 @t48 @t43) (or @t73 @t53 @t33 @t13) (or @t57 @t52 @t47 @t42) (or @t72 @t52 @t32 @t12) (or @t40 @t35 @t30 @t25) (or @t70 @t50 @t30 @t10) (or @t39 @t34 @t29 @t24) (or @t69 @t49 @t29 @t9) (or @t38 @t33 @t28 @t23) (or @t68 @t48 @t28 @t8) (or @t37 @t32 @t27 @t22) (or @t67 @t47 @t27 @t7) (or @t20 @t15 @t10 @t5) (or @t65 @t45 @t25 @t5) (or @t19 @t14 @t9 @t4) (or @t64 @t44 @t24 @t4) (or @t18 @t13 @t8 @t3) (or @t63 @t43 @t23 @t3) (or @t17 @t12 @t7 @t2) (or @t62 @t42 @t22 @t2))) % 0.38/0.58 (assume @p4 @t81) % 0.38/0.58 (assume @p5 (and (not (= @t76 @t56)) (not (= @t76 @t36)) (not (= @t76 @t16)) (not (= @t56 @t36)) (not (= @t56 @t16)) (not (= @t36 @t16)) (not (= @t71 @t51)) (not (= @t71 @t31)) (not (= @t71 @t11)) (not (= @t51 @t31)) (not (= @t51 @t11)) (not (= @t31 @t11)) (not (= @t66 @t46)) (not (= @t66 @t26)) (not (= @t66 @t6)) (not (= @t46 @t26)) (not (= @t46 @t6)) (not (= @t26 @t6)) (not (= @t61 @t41)) (not (= @t61 @t21)) (not (= @t61 @t1)) (not (= @t41 @t21)) (not (= @t41 @t1)) (not (= @t21 @t1)) (not (= @t76 @t71)) (not (= @t76 @t66)) (not (= @t76 @t61)) (not (= @t71 @t66)) (not (= @t71 @t61)) (not (= @t66 @t61)) (not (= @t56 @t51)) (not (= @t56 @t46)) (not (= @t56 @t41)) (not (= @t51 @t46)) (not (= @t51 @t41)) (not (= @t46 @t41)) (not (= @t36 @t31)) (not (= @t36 @t26)) (not (= @t36 @t21)) (not (= @t31 @t26)) (not (= @t31 @t21)) (not (= @t26 @t21)) (not (= @t16 @t11)) (not (= @t16 @t6)) (not (= @t16 @t1)) (not (= @t11 @t6)) (not (= @t11 @t1)) (not (= @t6 @t1)))) % 0.38/0.58 (assume @p6 (and (not (= tptp.e0 tptp.e1)) (not (= tptp.e0 tptp.e2)) (not (= tptp.e0 tptp.e3)) (not (= tptp.e1 tptp.e2)) (not (= tptp.e1 tptp.e3)) (not (= tptp.e2 tptp.e3)))) % 0.38/0.58 (assume @p7 @t93) % 0.38/0.58 (assume @p8 true) % 0.38/0.58 (step @p9 :rule symm :premises (@p4)) % 0.38/0.58 (step @p10 :rule and_elim :premises (@p2) :args (7)) % 0.38/0.58 (step @p11 :rule symm :premises (@p10)) % 0.38/0.58 (step @p12 :rule and_elim :premises (@p5) :args (2)) % 0.38/0.58 (step @p13 :rule symm :premises (@p12)) % 0.38/0.58 (step @p14 :rule refl :args (@t95)) % 0.38/0.58 (step @p15 :rule refl :args (@t97)) % 0.38/0.58 (step @p16 :rule bool-double-not-elim :args (@t98)) % 0.38/0.58 (step @p17 :rule refl :args (@t100)) % 0.38/0.58 (step @p18 :rule nary_cong :premises (@p17 @p16 @p15 @p14) :args ((or @t100 (not @t101) @t97 @t95))) % 0.38/0.58 (assume-push @p177 @t99) % 0.38/0.58 (assume-push @p178 @t101) % 0.38/0.58 (assume-push @p179 @t96) % 0.38/0.58 (assume-push @p180 @t101) % 0.38/0.58 (assume-push @p181 (= tptp.e3 @t16)) % 0.38/0.58 (step @p24 :rule false_intro :premises (@p13)) % 0.38/0.58 (step @p25 :rule refl :args (@t76)) % 0.38/0.58 (step @p26 :rule refl :args (tptp.e3)) % 0.38/0.58 (step @p27 :rule cong :premises (@p26 @p4) :args (@t82)) % 0.38/0.58 (step @p28 :rule symm :premises (@p10)) % 0.38/0.58 (step @p29 :rule trans :premises (@p28 @p27)) % 0.38/0.58 (step @p30 :rule cong :premises (@p29 @p25) :args (@t94)) % 0.38/0.58 (step @p31 :rule trans :premises (@p30 @p24)) % 0.38/0.58 (step @p32 :rule false_elim :premises (@p31)) % 0.38/0.58 (step-pop @p182 :rule scope :premises (@p32)) % 0.38/0.58 (step-pop @p183 :rule scope :premises (@p182)) % 0.38/0.58 (step @p33 :rule process_scope :premises (@p183) :args (@t95)) % 0.38/0.58 (step @p26 :rule refl :args (tptp.e3)) % 0.38/0.58 (step @p27 :rule cong :premises (@p26 @p4) :args (@t82)) % 0.38/0.58 (step @p36 :rule trans :premises (@p11 @p27)) % 0.38/0.58 (step @p37 :rule and_intro :premises (@p13 @p36)) % 0.38/0.58 (step @p38 :rule modus_ponens :premises (@p37 @p33)) % 0.38/0.58 (step-pop @p184 :rule scope :premises (@p38)) % 0.38/0.58 (step-pop @p185 :rule scope :premises (@p184)) % 0.38/0.58 (step-pop @p186 :rule scope :premises (@p185)) % 0.38/0.58 (step @p39 :rule process_scope :premises (@p186) :args (@t95)) % 0.38/0.58 (step @p43 :rule implies_elim :premises (@p39)) % 0.38/0.58 (step @p44 :rule cnf_and_neg :args (@t102)) % 0.38/0.58 (step @p45 :rule resolution :premises (@p44 @p43) :args (true @t102)) % 0.38/0.58 (step @p46 :rule eq_resolve :premises (@p45 @p18)) % 0.38/0.58 (step @p47 :rule reordering :premises (@p46) :args ((or @t98 @t95 @t100 @t97))) % 0.38/0.58 (step @p48 :rule chain_m_resolution :premises (@p47 @p13 @p11 @p9) :args (@t95 @t103 (@list @t98 @t99 @t96))) % 0.38/0.58 (step @p49 :rule cnf_and_pos :args (@t104 0)) % 0.38/0.58 (step @p50 :rule reordering :premises (@p49) :args ((or @t94 @t105))) % 0.38/0.58 (step @p51 :rule chain_m_resolution :premises (@p50 @p48) :args (@t105 @t106 (@list @t94))) % 0.38/0.58 (step @p52 :rule and_elim :premises (@p2) :args (5)) % 0.38/0.58 (step @p53 :rule symm :premises (@p52)) % 0.38/0.58 (step @p54 :rule and_elim :premises (@p5) :args (1)) % 0.38/0.58 (step @p55 :rule symm :premises (@p54)) % 0.38/0.58 (step @p56 :rule refl :args (@t108)) % 0.38/0.58 (step @p57 :rule bool-double-not-elim :args (@t109)) % 0.38/0.58 (step @p58 :rule refl :args (@t111)) % 0.38/0.58 (step @p59 :rule nary_cong :premises (@p58 @p57 @p15 @p56) :args ((or @t111 (not @t112) @t97 @t108))) % 0.38/0.58 (assume-push @p187 @t110) % 0.38/0.58 (assume-push @p188 @t112) % 0.38/0.58 (assume-push @p189 @t96) % 0.38/0.58 (assume-push @p190 @t112) % 0.38/0.58 (assume-push @p191 (= tptp.e2 @t36)) % 0.38/0.58 (step @p65 :rule false_intro :premises (@p55)) % 0.38/0.58 (step @p25 :rule refl :args (@t76)) % 0.38/0.58 (step @p66 :rule refl :args (tptp.e2)) % 0.38/0.58 (step @p67 :rule cong :premises (@p66 @p4) :args (@t83)) % 0.38/0.58 (step @p68 :rule symm :premises (@p52)) % 0.38/0.58 (step @p69 :rule trans :premises (@p68 @p67)) % 0.38/0.58 (step @p70 :rule cong :premises (@p69 @p25) :args (@t107)) % 0.38/0.58 (step @p71 :rule trans :premises (@p70 @p65)) % 0.38/0.58 (step @p72 :rule false_elim :premises (@p71)) % 0.38/0.58 (step-pop @p192 :rule scope :premises (@p72)) % 0.38/0.58 (step-pop @p193 :rule scope :premises (@p192)) % 0.38/0.58 (step @p73 :rule process_scope :premises (@p193) :args (@t108)) % 0.38/0.58 (step @p66 :rule refl :args (tptp.e2)) % 0.38/0.58 (step @p67 :rule cong :premises (@p66 @p4) :args (@t83)) % 0.38/0.58 (step @p76 :rule trans :premises (@p53 @p67)) % 0.38/0.58 (step @p77 :rule and_intro :premises (@p55 @p76)) % 0.38/0.58 (step @p78 :rule modus_ponens :premises (@p77 @p73)) % 0.38/0.58 (step-pop @p194 :rule scope :premises (@p78)) % 0.38/0.58 (step-pop @p195 :rule scope :premises (@p194)) % 0.38/0.58 (step-pop @p196 :rule scope :premises (@p195)) % 0.38/0.58 (step @p79 :rule process_scope :premises (@p196) :args (@t108)) % 0.38/0.58 (step @p83 :rule implies_elim :premises (@p79)) % 0.38/0.58 (step @p84 :rule cnf_and_neg :args (@t113)) % 0.38/0.58 (step @p85 :rule resolution :premises (@p84 @p83) :args (true @t113)) % 0.38/0.58 (step @p86 :rule eq_resolve :premises (@p85 @p59)) % 0.38/0.58 (step @p87 :rule reordering :premises (@p86) :args ((or @t109 @t108 @t111 @t97))) % 0.38/0.58 (step @p88 :rule chain_m_resolution :premises (@p87 @p55 @p53 @p9) :args (@t108 @t103 (@list @t109 @t110 @t96))) % 0.38/0.58 (step @p89 :rule cnf_and_pos :args (@t114 0)) % 0.38/0.58 (step @p90 :rule reordering :premises (@p89) :args ((or @t107 @t115))) % 0.38/0.58 (step @p91 :rule chain_m_resolution :premises (@p90 @p88) :args (@t115 @t106 (@list @t107))) % 0.38/0.58 (step @p92 :rule and_elim :premises (@p2) :args (3)) % 0.38/0.58 (step @p93 :rule symm :premises (@p92)) % 0.38/0.58 (step @p94 :rule and_elim :premises (@p5) :args (0)) % 0.38/0.58 (step @p95 :rule symm :premises (@p94)) % 0.38/0.58 (step @p96 :rule refl :args (@t117)) % 0.38/0.58 (step @p97 :rule bool-double-not-elim :args (@t118)) % 0.38/0.58 (step @p98 :rule refl :args (@t120)) % 0.38/0.58 (step @p99 :rule nary_cong :premises (@p98 @p97 @p15 @p96) :args ((or @t120 (not @t121) @t97 @t117))) % 0.38/0.58 (assume-push @p197 @t119) % 0.38/0.58 (assume-push @p198 @t121) % 0.38/0.58 (assume-push @p199 @t96) % 0.38/0.58 (assume-push @p200 @t121) % 0.38/0.58 (assume-push @p201 (= tptp.e1 @t56)) % 0.38/0.58 (step @p105 :rule false_intro :premises (@p95)) % 0.38/0.58 (step @p25 :rule refl :args (@t76)) % 0.38/0.58 (step @p106 :rule refl :args (tptp.e1)) % 0.38/0.58 (step @p107 :rule cong :premises (@p106 @p4) :args (@t84)) % 0.38/0.58 (step @p108 :rule symm :premises (@p92)) % 0.38/0.58 (step @p109 :rule trans :premises (@p108 @p107)) % 0.38/0.58 (step @p110 :rule cong :premises (@p109 @p25) :args (@t116)) % 0.38/0.58 (step @p111 :rule trans :premises (@p110 @p105)) % 0.38/0.58 (step @p112 :rule false_elim :premises (@p111)) % 0.38/0.58 (step-pop @p202 :rule scope :premises (@p112)) % 0.38/0.58 (step-pop @p203 :rule scope :premises (@p202)) % 0.38/0.58 (step @p113 :rule process_scope :premises (@p203) :args (@t117)) % 0.38/0.58 (step @p106 :rule refl :args (tptp.e1)) % 0.38/0.58 (step @p107 :rule cong :premises (@p106 @p4) :args (@t84)) % 0.38/0.58 (step @p116 :rule trans :premises (@p93 @p107)) % 0.38/0.58 (step @p117 :rule and_intro :premises (@p95 @p116)) % 0.38/0.58 (step @p118 :rule modus_ponens :premises (@p117 @p113)) % 0.38/0.58 (step-pop @p204 :rule scope :premises (@p118)) % 0.38/0.58 (step-pop @p205 :rule scope :premises (@p204)) % 0.38/0.58 (step-pop @p206 :rule scope :premises (@p205)) % 0.38/0.58 (step @p119 :rule process_scope :premises (@p206) :args (@t117)) % 0.38/0.58 (step @p123 :rule implies_elim :premises (@p119)) % 0.38/0.58 (step @p124 :rule cnf_and_neg :args (@t122)) % 0.38/0.58 (step @p125 :rule resolution :premises (@p124 @p123) :args (true @t122)) % 0.38/0.58 (step @p126 :rule eq_resolve :premises (@p125 @p99)) % 0.38/0.58 (step @p127 :rule reordering :premises (@p126) :args ((or @t118 @t117 @t120 @t97))) % 0.38/0.58 (step @p128 :rule chain_m_resolution :premises (@p127 @p95 @p93 @p9) :args (@t117 @t103 (@list @t118 @t119 @t96))) % 0.38/0.58 (step @p129 :rule cnf_and_pos :args (@t123 0)) % 0.38/0.58 (step @p130 :rule reordering :premises (@p129) :args ((or @t116 @t124))) % 0.38/0.58 (step @p131 :rule chain_m_resolution :premises (@p130 @p128) :args (@t124 @t106 (@list @t116))) % 0.38/0.58 (step @p132 :rule eq-symm :args (@t1 tptp.e3)) % 0.38/0.58 (step @p133 :rule eq-symm :args (@t26 tptp.e3)) % 0.38/0.58 (step @p134 :rule eq-symm :args (@t51 tptp.e3)) % 0.38/0.58 (step @p135 :rule eq-symm :args (@t76 tptp.e3)) % 0.38/0.58 (step @p136 :rule nary_cong :premises (@p135 @p134 @p133 @p132) :args (@t86)) % 0.38/0.58 (step @p137 :rule eq-symm :args (@t1 tptp.e2)) % 0.38/0.58 (step @p138 :rule eq-symm :args (@t26 tptp.e2)) % 0.38/0.58 (step @p139 :rule eq-symm :args (@t51 tptp.e2)) % 0.38/0.58 (step @p140 :rule eq-symm :args (@t76 tptp.e2)) % 0.38/0.58 (step @p141 :rule nary_cong :premises (@p140 @p139 @p138 @p137) :args (@t87)) % 0.38/0.58 (step @p142 :rule eq-symm :args (@t1 tptp.e1)) % 0.38/0.58 (step @p143 :rule eq-symm :args (@t26 tptp.e1)) % 0.38/0.58 (step @p144 :rule eq-symm :args (@t51 tptp.e1)) % 0.38/0.58 (step @p145 :rule eq-symm :args (@t76 tptp.e1)) % 0.38/0.58 (step @p146 :rule nary_cong :premises (@p145 @p144 @p143 @p142) :args (@t88)) % 0.38/0.58 (step @p147 :rule eq-symm :args (@t1 tptp.e0)) % 0.38/0.58 (step @p148 :rule eq-symm :args (@t26 tptp.e0)) % 0.38/0.58 (step @p149 :rule eq-symm :args (@t51 tptp.e0)) % 0.38/0.58 (step @p150 :rule eq-symm :args (@t76 tptp.e0)) % 0.38/0.58 (step @p151 :rule nary_cong :premises (@p150 @p149 @p148 @p147) :args (@t89)) % 0.38/0.58 (step @p152 :rule nary_cong :premises (@p151 @p146 @p141 @p136) :args (@t90)) % 0.38/0.58 (step @p153 :rule cong :premises (@p152) :args (@t91)) % 0.38/0.58 (step @p154 :rule nary_cong :premises (@p151 @p146 @p141 @p136 @p153) :args (@t92)) % 0.38/0.58 (step @p155 :rule cong :premises (@p154) :args (@t93)) % 0.38/0.58 (step @p156 :rule eq_resolve :premises (@p7 @p155)) % 0.38/0.58 (step @p157 :rule not_or_elim :premises (@p156) :args (4)) % 0.38/0.58 (step @p158 :rule not_not_elim :premises (@p157)) % 0.38/0.58 (step @p159 :rule chain_m_resolution :premises (@p158 @p131 @p91 @p51) :args (@t129 (@list true true true) (@list @t123 @t114 @t104))) % 0.38/0.58 (step @p160 :rule cnf_and_pos :args (@t129 3)) % 0.38/0.58 (step @p161 :rule reordering :premises (@p160) :args ((or @t125 @t130))) % 0.38/0.58 (step @p162 :rule chain_m_resolution :premises (@p161 @p159) :args (@t125 @t131 @t132)) % 0.38/0.58 (step @p163 :rule refl :args (tptp.e0)) % 0.38/0.58 (step @p164 :rule cong :premises (@p163 @p4) :args (@t85)) % 0.38/0.58 (step @p165 :rule and_elim :premises (@p2) :args (1)) % 0.38/0.58 (step @p166 :rule symm :premises (@p165)) % 0.38/0.58 (step @p167 :rule trans :premises (@p166 @p164)) % 0.38/0.58 (step @p168 :rule cnf_and_pos :args (@t129 1)) % 0.38/0.58 (step @p169 :rule reordering :premises (@p168) :args ((or @t127 @t130))) % 0.38/0.58 (step @p170 :rule chain_m_resolution :premises (@p169 @p159) :args (@t127 @t131 @t132)) % 0.38/0.58 (step @p171 :rule cnf_and_pos :args (@t129 2)) % 0.38/0.58 (step @p172 :rule reordering :premises (@p171) :args ((or @t126 @t130))) % 0.38/0.58 (step @p173 :rule chain_m_resolution :premises (@p172 @p159) :args (@t126 @t131 @t132)) % 0.38/0.58 (step @p174 :rule not_or_elim :premises (@p156) :args (0)) % 0.38/0.58 (step @p175 :rule not_and :premises (@p174)) % 0.38/0.58 (step @p176 false :rule chain_m_resolution :premises (@p175 @p173 @p170 @p167 @p162) :args (false (@list false false false false) (@list @t126 @t127 @t128 @t125))) % 0.38/0.58 ) % 0.38/0.58 % SZS output end Proof % 0.38/0.58 % cvc5 exiting %------------------------------------------------------------------------------