%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : CSR014+1 : TPTP v9.2.1. Bugfixed v3.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n027.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 08:11:11 AM UTC 2026 % Result : Theorem 0.47s 0.65s % Output : Proof 0.47s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : CSR014+1 : TPTP v9.2.1. Bugfixed v3.1.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.20/0.34 % Computer : n027.cluster.edu % 0.20/0.34 % Model : x86_64 x86_64 % 0.20/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.20/0.34 % Memory : 8042.1875MB % 0.20/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.20/0.34 % CPULimit : 300 % 0.20/0.34 % WCLimit : 300 % 0.20/0.35 % DateTime : Mon Jun 1 20:37:36 EDT 2026 % 0.20/0.35 % CPUTime : % 0.34/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.47/0.65 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.47/0.65 % SZS status Theorem % 0.47/0.65 % SZS output start Proof % 0.47/0.65 ( % 0.47/0.65 (declare-sort $$unsorted 0) % 0.47/0.65 (declare-const tptp.n7 $$unsorted) % 0.47/0.65 (declare-const tptp.n6 $$unsorted) % 0.47/0.65 (declare-const tptp.n5 $$unsorted) % 0.47/0.65 (declare-const tptp.n3 $$unsorted) % 0.47/0.65 (declare-const tptp.less_or_equal (-> $$unsorted $$unsorted Bool)) % 0.47/0.65 (declare-const tptp.tapOn $$unsorted) % 0.47/0.65 (declare-const tptp.filling $$unsorted) % 0.47/0.65 (declare-const tptp.spilling $$unsorted) % 0.47/0.65 (declare-const tptp.overflow $$unsorted) % 0.47/0.65 (declare-const tptp.n2 $$unsorted) % 0.47/0.65 (declare-const tptp.waterLevel (-> $$unsorted $$unsorted)) % 0.47/0.65 (declare-const tptp.terminates (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.47/0.65 (declare-const tptp.initiates (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.47/0.65 (declare-const tptp.antitrajectory (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.47/0.65 (declare-const tptp.n9 $$unsorted) % 0.47/0.65 (declare-const tptp.n4 $$unsorted) % 0.47/0.65 (declare-const tptp.less (-> $$unsorted $$unsorted Bool)) % 0.47/0.65 (declare-const tptp.startedIn (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.47/0.65 (declare-const tptp.happens (-> $$unsorted $$unsorted Bool)) % 0.47/0.65 (declare-const tptp.releases (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.47/0.65 (declare-const tptp.holdsAt (-> $$unsorted $$unsorted Bool)) % 0.47/0.65 (declare-const tptp.stoppedIn (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.47/0.65 (declare-const tptp.trajectory (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.47/0.65 (declare-const tptp.tapOff $$unsorted) % 0.47/0.65 (declare-const tptp.n0 $$unsorted) % 0.47/0.65 (declare-const tptp.n8 $$unsorted) % 0.47/0.65 (declare-const tptp.n1 $$unsorted) % 0.47/0.65 (declare-const tptp.plus (-> $$unsorted $$unsorted $$unsorted)) % 0.47/0.65 (declare-const tptp.releasedAt (-> $$unsorted $$unsorted Bool)) % 0.47/0.65 (define @t1 () (@var "Time" $$unsorted)) % 0.47/0.65 (define @t2 () (@var "Fluent" $$unsorted)) % 0.47/0.65 (define @t3 () (@var "Event" $$unsorted)) % 0.47/0.65 (define @t4 () (tptp.terminates @t3 @t2 @t1)) % 0.47/0.65 (define @t5 () (@var "Time2" $$unsorted)) % 0.47/0.65 (define @t6 () (tptp.less @t1 @t5)) % 0.47/0.65 (define @t7 () (@var "Time1" $$unsorted)) % 0.47/0.65 (define @t8 () (tptp.less @t7 @t1)) % 0.47/0.65 (define @t9 () (tptp.happens @t3 @t1)) % 0.47/0.65 (define @t10 () (@list @t3 @t1)) % 0.47/0.65 (define @t11 () (tptp.initiates @t3 @t2 @t1)) % 0.47/0.65 (define @t12 () (@var "Offset" $$unsorted)) % 0.47/0.65 (define @t13 () (tptp.plus @t1 @t12)) % 0.47/0.65 (define @t14 () (@var "Fluent2" $$unsorted)) % 0.47/0.65 (define @t15 () (tptp.plus @t7 @t5)) % 0.47/0.65 (define @t16 () (@var "Fluent1" $$unsorted)) % 0.47/0.65 (define @t17 () (tptp.plus @t1 tptp.n1)) % 0.47/0.65 (define @t18 () (tptp.holdsAt @t2 @t17)) % 0.47/0.65 (define @t19 () (and @t9 @t4)) % 0.47/0.65 (define @t20 () (@list @t3)) % 0.47/0.65 (define @t21 () (tptp.releasedAt @t2 @t17)) % 0.47/0.65 (define @t22 () (not @t21)) % 0.47/0.65 (define @t23 () (tptp.holdsAt @t2 @t1)) % 0.47/0.65 (define @t24 () (@list @t2 @t1)) % 0.47/0.65 (define @t25 () (not @t18)) % 0.47/0.65 (define @t26 () (and @t9 @t11)) % 0.47/0.65 (define @t27 () (and @t9 (or @t11 @t4))) % 0.47/0.65 (define @t28 () (tptp.releasedAt @t2 @t1)) % 0.47/0.65 (define @t29 () (tptp.releases @t3 @t2 @t1)) % 0.47/0.65 (define @t30 () (and @t9 @t29)) % 0.47/0.65 (define @t31 () (exists @t20 @t30)) % 0.47/0.65 (define @t32 () (not @t31)) % 0.47/0.65 (define @t33 () (not @t28)) % 0.47/0.65 (define @t34 () (and @t33 @t32)) % 0.47/0.65 (define @t35 () (=> @t34 @t22)) % 0.47/0.65 (define @t36 () (forall @t24 @t35)) % 0.47/0.65 (define @t37 () (@list @t3 @t1 @t2)) % 0.47/0.65 (define @t38 () (@var "Height" $$unsorted)) % 0.47/0.65 (define @t39 () (tptp.waterLevel @t38)) % 0.47/0.65 (define @t40 () (= @t2 @t39)) % 0.47/0.65 (define @t41 () (= @t3 tptp.overflow)) % 0.47/0.65 (define @t42 () (tptp.holdsAt @t39 @t1)) % 0.47/0.65 (define @t43 () (@list @t38)) % 0.47/0.65 (define @t44 () (= @t3 tptp.tapOff)) % 0.47/0.65 (define @t45 () (= @t2 tptp.filling)) % 0.47/0.65 (define @t46 () (= @t3 tptp.tapOn)) % 0.47/0.65 (define @t47 () (@list @t3 @t2 @t1)) % 0.47/0.65 (define @t48 () (and @t46 @t40)) % 0.47/0.65 (define @t49 () (exists @t43 @t48)) % 0.47/0.65 (define @t50 () (= @t29 @t49)) % 0.47/0.65 (define @t51 () (forall @t47 @t50)) % 0.47/0.65 (define @t52 () (@var "Height2" $$unsorted)) % 0.47/0.65 (define @t53 () (tptp.waterLevel @t52)) % 0.47/0.65 (define @t54 () (@var "Height1" $$unsorted)) % 0.47/0.65 (define @t55 () (tptp.holdsAt (tptp.waterLevel @t54) @t1)) % 0.47/0.65 (define @t56 () (@var "X" $$unsorted)) % 0.47/0.65 (define @t57 () (tptp.waterLevel @t56)) % 0.47/0.65 (define @t58 () (@list @t56)) % 0.47/0.65 (define @t59 () (forall @t58 (not (= tptp.filling @t57)))) % 0.47/0.65 (define @t60 () (@var "Y" $$unsorted)) % 0.47/0.65 (define @t61 () (= @t56 @t60)) % 0.47/0.65 (define @t62 () (@list @t56 @t60)) % 0.47/0.65 (define @t63 () (tptp.plus tptp.n0 tptp.n1)) % 0.47/0.66 (define @t64 () (tptp.plus tptp.n1 tptp.n1)) % 0.47/0.66 (define @t65 () (tptp.less @t56 @t60)) % 0.47/0.66 (define @t66 () (tptp.releasedAt tptp.filling tptp.n0)) % 0.47/0.66 (define @t67 () (tptp.releasedAt tptp.filling tptp.n3)) % 0.47/0.66 (define @t68 () (forall @t20 (or (not @t9) (not @t29)))) % 0.47/0.66 (define @t69 () (not @t68)) % 0.47/0.66 (define @t70 () (and @t33 @t68)) % 0.47/0.66 (define @t71 () (forall @t20 (not @t30))) % 0.47/0.66 (define @t72 () (not @t71)) % 0.47/0.66 (define @t73 () (not @t40)) % 0.47/0.66 (define @t74 () (forall @t43 @t73)) % 0.47/0.66 (define @t75 () (not @t74)) % 0.47/0.66 (define @t76 () (not @t46)) % 0.47/0.66 (define @t77 () (or @t76 @t74)) % 0.47/0.66 (define @t78 () (= @t29 (not @t77))) % 0.47/0.66 (define @t79 () (forall @t43 (not @t48))) % 0.47/0.66 (define @t80 () (not @t79)) % 0.47/0.66 (define @t81 () (forall @t43 (not (= tptp.filling @t39)))) % 0.47/0.66 (define @t82 () (not @t81)) % 0.47/0.66 (define @t83 () (forall @t20 (or (not (tptp.happens @t3 tptp.n1)) (not (tptp.releases @t3 tptp.filling tptp.n1))))) % 0.47/0.66 (define @t84 () (@quantifiers_skolemize @t83 0)) % 0.47/0.66 (define @t85 () (and (= @t84 tptp.tapOn) @t82)) % 0.47/0.66 (define @t86 () (tptp.releases @t84 tptp.filling tptp.n1)) % 0.47/0.66 (define @t87 () (= @t86 @t85)) % 0.47/0.66 (define @t88 () (forall @t47 (= @t29 (and @t46 @t75)))) % 0.47/0.66 (define @t89 () (and (= tptp.tapOn @t84) @t82)) % 0.47/0.66 (define @t90 () (= @t86 @t89)) % 0.47/0.66 (define @t91 () (@list false)) % 0.47/0.66 (define @t92 () (@list @t88)) % 0.47/0.66 (define @t93 () (not @t89)) % 0.47/0.66 (define @t94 () (@list @t81)) % 0.47/0.66 (define @t95 () (not @t86)) % 0.47/0.66 (define @t96 () (@list true false)) % 0.47/0.66 (define @t97 () (or (not (tptp.happens @t84 tptp.n1)) @t95)) % 0.47/0.66 (define @t98 () (@list true)) % 0.47/0.66 (define @t99 () (not @t97)) % 0.47/0.66 (define @t100 () (not @t83)) % 0.47/0.66 (define @t101 () (tptp.releasedAt tptp.filling (tptp.plus tptp.n2 tptp.n1))) % 0.47/0.66 (define @t102 () (forall @t20 (or (not (tptp.happens @t3 tptp.n2)) (not (tptp.releases @t3 tptp.filling tptp.n2))))) % 0.47/0.66 (define @t103 () (@quantifiers_skolemize @t102 0)) % 0.47/0.66 (define @t104 () (and (= @t103 tptp.tapOn) @t82)) % 0.47/0.66 (define @t105 () (tptp.releases @t103 tptp.filling tptp.n2)) % 0.47/0.66 (define @t106 () (= @t105 @t104)) % 0.47/0.66 (define @t107 () (and (= tptp.tapOn @t103) @t82)) % 0.47/0.66 (define @t108 () (= @t105 @t107)) % 0.47/0.66 (define @t109 () (not @t107)) % 0.47/0.66 (define @t110 () (not @t105)) % 0.47/0.66 (define @t111 () (or (not (tptp.happens @t103 tptp.n2)) @t110)) % 0.47/0.66 (define @t112 () (not @t111)) % 0.47/0.66 (define @t113 () (not @t102)) % 0.47/0.66 (define @t114 () (not @t101)) % 0.47/0.66 (define @t115 () (tptp.releasedAt tptp.filling tptp.n2)) % 0.47/0.66 (define @t116 () (or @t115 @t113 @t114)) % 0.47/0.66 (define @t117 () (@list false false false)) % 0.47/0.66 (define @t118 () (= tptp.n2 @t64)) % 0.47/0.66 (define @t119 () (tptp.releasedAt tptp.filling @t64)) % 0.47/0.66 (define @t120 () (and @t118 @t115)) % 0.47/0.66 (define @t121 () (@list false false)) % 0.47/0.66 (define @t122 () (not @t119)) % 0.47/0.66 (define @t123 () (tptp.releasedAt tptp.filling tptp.n1)) % 0.47/0.66 (define @t124 () (or @t123 @t100 @t122)) % 0.47/0.66 (define @t125 () (= tptp.n1 @t63)) % 0.47/0.66 (define @t126 () (tptp.releasedAt tptp.filling @t63)) % 0.47/0.66 (define @t127 () (and @t125 @t123)) % 0.47/0.66 (define @t128 () (not @t126)) % 0.47/0.66 (define @t129 () (forall @t20 (or (not (tptp.happens @t3 tptp.n0)) (not (tptp.releases @t3 tptp.filling tptp.n0))))) % 0.47/0.66 (define @t130 () (not @t129)) % 0.47/0.66 (define @t131 () (or @t66 @t130 @t128)) % 0.47/0.66 (define @t132 () (@quantifiers_skolemize @t129 0)) % 0.47/0.66 (define @t133 () (tptp.releases @t132 tptp.filling tptp.n0)) % 0.47/0.66 (define @t134 () (not @t133)) % 0.47/0.66 (define @t135 () (or (not (tptp.happens @t132 tptp.n0)) @t134)) % 0.47/0.66 (define @t136 () (not @t135)) % 0.47/0.66 (define @t137 () (and (= tptp.tapOn @t132) @t82)) % 0.47/0.66 (define @t138 () (not @t137)) % 0.47/0.66 (define @t139 () (and (= @t132 tptp.tapOn) @t82)) % 0.47/0.66 (define @t140 () (= @t133 @t139)) % 0.47/0.66 (define @t141 () (= @t133 @t137)) % 0.47/0.66 (assume @p1 (forall (@list @t7 @t2 @t5) (= (tptp.stoppedIn @t7 @t2 @t5) (exists @t10 (and @t9 @t8 @t6 @t4))))) % 0.47/0.66 (assume @p2 (forall (@list @t7 @t5 @t2) (= (tptp.startedIn @t7 @t2 @t5) (exists @t10 (and @t9 @t8 @t6 @t11))))) % 0.47/0.66 (assume @p3 (forall (@list @t3 @t1 @t2 @t14 @t12) (=> (and @t9 @t11 (tptp.less tptp.n0 @t12) (tptp.trajectory @t2 @t1 @t14 @t12) (not (tptp.stoppedIn @t1 @t2 @t13))) (tptp.holdsAt @t14 @t13)))) % 0.47/0.66 (assume @p4 (forall (@list @t3 @t7 @t16 @t5 @t14) (=> (and (tptp.happens @t3 @t7) (tptp.terminates @t3 @t16 @t7) (tptp.less tptp.n0 @t5) (tptp.antitrajectory @t16 @t7 @t14 @t5) (not (tptp.startedIn @t7 @t16 @t15))) (tptp.holdsAt @t14 @t15)))) % 0.47/0.66 (assume @p5 (forall @t24 (=> (and @t23 @t22 (not (exists @t20 @t19))) @t18))) % 0.47/0.66 (assume @p6 (forall @t24 (=> (and (not @t23) @t22 (not (exists @t20 @t26))) @t25))) % 0.47/0.66 (assume @p7 (forall @t24 (=> (and @t28 (not (exists @t20 @t27))) @t21))) % 0.47/0.66 (assume @p8 @t36) % 0.47/0.66 (assume @p9 (forall @t37 (=> @t26 @t18))) % 0.47/0.66 (assume @p10 (forall @t37 (=> @t19 @t25))) % 0.47/0.66 (assume @p11 (forall @t37 (=> @t30 @t21))) % 0.47/0.66 (assume @p12 (forall @t37 (=> @t27 @t22))) % 0.47/0.66 (assume @p13 (forall @t47 (= @t11 (or (and @t46 @t45) (and @t41 (= @t2 tptp.spilling)) (exists @t43 (and @t42 @t44 @t40)) (exists @t43 (and @t42 @t41 @t40)))))) % 0.47/0.66 (assume @p14 (forall @t47 (= @t4 (or (and @t44 @t45) (and @t41 @t45))))) % 0.47/0.66 (assume @p15 @t51) % 0.47/0.66 (assume @p16 (forall @t10 (= @t9 (or (and @t46 (= @t1 tptp.n0)) (and (tptp.holdsAt (tptp.waterLevel tptp.n3) @t1) (tptp.holdsAt tptp.filling @t1) @t41))))) % 0.47/0.66 (assume @p17 (forall (@list @t54 @t1 @t52 @t12) (=> (and @t55 (= @t52 (tptp.plus @t54 @t12))) (tptp.trajectory tptp.filling @t1 @t53 @t12)))) % 0.47/0.66 (assume @p18 (forall (@list @t1 @t54 @t52) (=> (and @t55 (tptp.holdsAt @t53 @t1)) (= @t54 @t52)))) % 0.47/0.66 (assume @p19 (not (= tptp.tapOff tptp.tapOn))) % 0.47/0.66 (assume @p20 (not (= tptp.tapOff tptp.overflow))) % 0.47/0.66 (assume @p21 (not (= tptp.overflow tptp.tapOn))) % 0.47/0.66 (assume @p22 @t59) % 0.47/0.66 (assume @p23 (forall @t58 (not (= tptp.spilling @t57)))) % 0.47/0.66 (assume @p24 (not (= tptp.filling tptp.spilling))) % 0.47/0.66 (assume @p25 (forall @t62 (= (= @t57 (tptp.waterLevel @t60)) @t61))) % 0.47/0.66 (assume @p26 (= (tptp.plus tptp.n0 tptp.n0) tptp.n0)) % 0.47/0.66 (assume @p27 (= @t63 tptp.n1)) % 0.47/0.66 (assume @p28 (= (tptp.plus tptp.n0 tptp.n2) tptp.n2)) % 0.47/0.66 (assume @p29 (= (tptp.plus tptp.n0 tptp.n3) tptp.n3)) % 0.47/0.66 (assume @p30 (= @t64 tptp.n2)) % 0.47/0.66 (assume @p31 (= (tptp.plus tptp.n1 tptp.n2) tptp.n3)) % 0.47/0.66 (assume @p32 (= (tptp.plus tptp.n1 tptp.n3) tptp.n4)) % 0.47/0.66 (assume @p33 (= (tptp.plus tptp.n2 tptp.n2) tptp.n4)) % 0.47/0.66 (assume @p34 (= (tptp.plus tptp.n2 tptp.n3) tptp.n5)) % 0.47/0.66 (assume @p35 (= (tptp.plus tptp.n3 tptp.n3) tptp.n6)) % 0.47/0.66 (assume @p36 (forall @t62 (= (tptp.plus @t56 @t60) (tptp.plus @t60 @t56)))) % 0.47/0.66 (assume @p37 (forall @t62 (= (tptp.less_or_equal @t56 @t60) (or @t65 @t61)))) % 0.47/0.66 (assume @p38 (not (exists @t58 (tptp.less @t56 tptp.n0)))) % 0.47/0.66 (assume @p39 (forall @t58 (= (tptp.less @t56 tptp.n1) (tptp.less_or_equal @t56 tptp.n0)))) % 0.47/0.66 (assume @p40 (forall @t58 (= (tptp.less @t56 tptp.n2) (tptp.less_or_equal @t56 tptp.n1)))) % 0.47/0.66 (assume @p41 (forall @t58 (= (tptp.less @t56 tptp.n3) (tptp.less_or_equal @t56 tptp.n2)))) % 0.47/0.66 (assume @p42 (forall @t58 (= (tptp.less @t56 tptp.n4) (tptp.less_or_equal @t56 tptp.n3)))) % 0.47/0.66 (assume @p43 (forall @t58 (= (tptp.less @t56 tptp.n5) (tptp.less_or_equal @t56 tptp.n4)))) % 0.47/0.66 (assume @p44 (forall @t58 (= (tptp.less @t56 tptp.n6) (tptp.less_or_equal @t56 tptp.n5)))) % 0.47/0.66 (assume @p45 (forall @t58 (= (tptp.less @t56 tptp.n7) (tptp.less_or_equal @t56 tptp.n6)))) % 0.47/0.66 (assume @p46 (forall @t58 (= (tptp.less @t56 tptp.n8) (tptp.less_or_equal @t56 tptp.n7)))) % 0.47/0.66 (assume @p47 (forall @t58 (= (tptp.less @t56 tptp.n9) (tptp.less_or_equal @t56 tptp.n8)))) % 0.47/0.66 (assume @p48 (forall @t62 (= @t65 (and (not (tptp.less @t60 @t56)) (not (= @t60 @t56)))))) % 0.47/0.66 (assume @p49 (tptp.holdsAt (tptp.waterLevel tptp.n0) tptp.n0)) % 0.47/0.66 (assume @p50 (not (tptp.holdsAt tptp.filling tptp.n0))) % 0.47/0.66 (assume @p51 (not (tptp.holdsAt tptp.spilling tptp.n0))) % 0.47/0.66 (assume @p52 (forall @t43 (not (tptp.releasedAt @t39 tptp.n0)))) % 0.47/0.66 (assume @p53 (not @t66)) % 0.47/0.66 (assume @p54 (not (tptp.releasedAt tptp.spilling tptp.n0))) % 0.47/0.66 (assume @p55 (not (not @t67))) % 0.47/0.66 (assume @p56 true) % 0.47/0.66 (step @p57 :rule aci_norm :args ((= (or (or @t28 @t69) @t22) (or @t28 @t69 @t22)))) % 0.47/0.66 (step @p58 :rule refl :args (@t22)) % 0.47/0.66 (step @p59 :rule refl :args (@t69)) % 0.47/0.66 (step @p60 :rule bool-double-not-elim :args (@t28)) % 0.47/0.66 (step @p61 :rule nary_cong :premises (@p60 @p59) :args ((or (not @t33) @t69))) % 0.47/0.66 (step @p62 :rule bool-and-de-morgan :args (@t33 @t68 true)) % 0.47/0.66 (step @p63 :rule trans :premises (@p62 @p61)) % 0.47/0.66 (step @p64 :rule nary_cong :premises (@p63 @p58) :args ((or (not @t70) @t22))) % 0.47/0.66 (step @p65 :rule trans :premises (@p64 @p57)) % 0.47/0.66 (step @p66 :rule bool-impl-elim :args (@t70 @t22)) % 0.47/0.66 (step @p67 :rule trans :premises (@p66 @p65)) % 0.47/0.66 (step @p68 :rule cong :premises (@p67) :args ((forall @t24 (=> @t70 @t22)))) % 0.47/0.66 (step @p69 :rule refl :args (@t22)) % 0.47/0.66 (step @p70 :rule bool-double-not-elim :args (@t68)) % 0.47/0.66 (step @p71 :rule bool-and-de-morgan :args (@t9 @t29 true)) % 0.47/0.66 (step @p72 :rule cong :premises (@p71) :args (@t71)) % 0.47/0.66 (step @p73 :rule cong :premises (@p72) :args (@t72)) % 0.47/0.66 (step @p74 :rule exists-elim :args ((= @t31 @t72))) % 0.47/0.66 (step @p75 :rule trans :premises (@p74 @p73)) % 0.47/0.66 (step @p76 :rule cong :premises (@p75) :args (@t32)) % 0.47/0.66 (step @p77 :rule trans :premises (@p76 @p70)) % 0.47/0.66 (step @p78 :rule refl :args (@t33)) % 0.47/0.66 (step @p79 :rule nary_cong :premises (@p78 @p77) :args (@t34)) % 0.47/0.66 (step @p80 :rule cong :premises (@p79 @p69) :args (@t35)) % 0.47/0.66 (step @p81 :rule cong :premises (@p80) :args (@t36)) % 0.47/0.66 (step @p82 :rule trans :premises (@p81 @p68)) % 0.47/0.66 (step @p83 :rule eq_resolve :premises (@p8 @p82)) % 0.47/0.66 (step @p84 :rule instantiate :premises (@p83) :args ((@list tptp.filling tptp.n0))) % 0.47/0.66 (step @p85 :rule instantiate :premises (@p83) :args ((@list tptp.filling tptp.n1))) % 0.47/0.66 (step @p86 :rule refl :args (@t75)) % 0.47/0.66 (step @p87 :rule bool-double-not-elim :args (@t46)) % 0.47/0.66 (step @p88 :rule nary_cong :premises (@p87 @p86) :args ((and (not @t76) @t75))) % 0.47/0.66 (step @p89 :rule bool-or-de-morgan :args (@t76 @t74 false)) % 0.47/0.66 (step @p90 :rule trans :premises (@p89 @p88)) % 0.47/0.66 (step @p91 :rule refl :args (@t29)) % 0.47/0.66 (step @p92 :rule cong :premises (@p91 @p90) :args (@t78)) % 0.47/0.66 (step @p93 :rule cong :premises (@p92) :args ((forall @t47 @t78))) % 0.47/0.66 (step @p94 :rule quant-miniscope-or :args ((= (forall @t43 (or @t76 @t73)) @t77))) % 0.47/0.66 (step @p95 :rule bool-and-de-morgan :args (@t46 @t40 true)) % 0.47/0.66 (step @p96 :rule cong :premises (@p95) :args (@t79)) % 0.47/0.66 (step @p97 :rule trans :premises (@p96 @p94)) % 0.47/0.66 (step @p98 :rule cong :premises (@p97) :args (@t80)) % 0.47/0.66 (step @p99 :rule exists-elim :args ((= @t49 @t80))) % 0.47/0.66 (step @p100 :rule trans :premises (@p99 @p98)) % 0.47/0.66 (step @p101 :rule refl :args (@t29)) % 0.47/0.66 (step @p102 :rule cong :premises (@p101 @p100) :args (@t50)) % 0.47/0.66 (step @p103 :rule cong :premises (@p102) :args (@t51)) % 0.47/0.66 (step @p104 :rule trans :premises (@p103 @p93)) % 0.47/0.66 (step @p105 :rule eq_resolve :premises (@p15 @p104)) % 0.47/0.66 (step @p106 :rule refl :args (@t82)) % 0.47/0.66 (step @p107 :rule eq-symm :args (@t84 tptp.tapOn)) % 0.47/0.66 (step @p108 :rule nary_cong :premises (@p107 @p106) :args (@t85)) % 0.47/0.66 (step @p109 :rule refl :args (@t86)) % 0.47/0.66 (step @p110 :rule cong :premises (@p109 @p108) :args (@t87)) % 0.47/0.66 (step @p111 :rule refl :args (@t88)) % 0.47/0.66 (step @p112 :rule cong :premises (@p111 @p110) :args ((=> @t88 @t87))) % 0.47/0.66 (assume-push @p278 @t88) % 0.47/0.66 (step @p114 :rule instantiate :premises (@p105) :args ((@list @t84 tptp.filling tptp.n1))) % 0.47/0.66 (step-pop @p279 :rule scope :premises (@p114)) % 0.47/0.66 (step @p115 :rule process_scope :premises (@p279) :args (@t87)) % 0.47/0.66 (step @p117 :rule eq_resolve :premises (@p115 @p112)) % 0.47/0.66 (step @p118 :rule implies_elim :premises (@p117)) % 0.47/0.66 (step @p119 :rule chain_m_resolution :premises (@p118 @p105) :args (@t90 @t91 @t92)) % 0.47/0.66 (step @p120 :rule alpha_equiv :args (@t59 (@list @t56) (@list @t38))) % 0.47/0.66 (step @p121 :rule equiv_elim1 :premises (@p120)) % 0.47/0.66 (step @p122 :rule chain_m_resolution :premises (@p121 @p22) :args (@t81 @t91 (@list @t59))) % 0.47/0.66 (step @p123 :rule cnf_and_pos :args (@t89 1)) % 0.47/0.66 (step @p124 :rule reordering :premises (@p123) :args ((or @t82 @t93))) % 0.47/0.66 (step @p125 :rule chain_m_resolution :premises (@p124 @p122) :args (@t93 @t91 @t94)) % 0.47/0.66 (step @p126 :rule cnf_equiv_pos1 :args (@t90)) % 0.47/0.66 (step @p127 :rule reordering :premises (@p126) :args ((or @t95 @t89 (not @t90)))) % 0.47/0.66 (step @p128 :rule chain_m_resolution :premises (@p127 @p125 @p119) :args (@t95 @t96 (@list @t89 @t90))) % 0.47/0.66 (step @p129 :rule bool-double-not-elim :args (@t86)) % 0.47/0.66 (step @p130 :rule refl :args (@t97)) % 0.47/0.66 (step @p131 :rule nary_cong :premises (@p130 @p129) :args ((or @t97 (not @t95)))) % 0.47/0.66 (step @p132 :rule cnf_or_neg :args (@t97 1)) % 0.47/0.66 (step @p133 :rule eq_resolve :premises (@p132 @p131)) % 0.47/0.66 (step @p134 :rule reordering :premises (@p133) :args ((or @t86 @t97))) % 0.47/0.66 (step @p135 :rule chain_m_resolution :premises (@p134 @p128) :args (@t97 @t98 (@list @t86))) % 0.47/0.66 (step @p136 :rule refl :args (@t99)) % 0.47/0.66 (step @p137 :rule bool-double-not-elim :args (@t83)) % 0.47/0.66 (step @p138 :rule nary_cong :premises (@p137 @p136) :args ((or (not @t100) @t99))) % 0.47/0.66 (assume-push @p280 @t100) % 0.47/0.66 (step @p140 :rule skolemize :premises (@p280)) % 0.47/0.66 (step-pop @p281 :rule scope :premises (@p140)) % 0.47/0.66 (step @p141 :rule process_scope :premises (@p281) :args (@t99)) % 0.47/0.66 (step @p143 :rule implies_elim :premises (@p141)) % 0.47/0.66 (step @p144 :rule eq_resolve :premises (@p143 @p138)) % 0.47/0.66 (step @p145 :rule chain_m_resolution :premises (@p144 @p135) :args (@t83 @t91 (@list @t97))) % 0.47/0.66 (step @p146 :rule instantiate :premises (@p83) :args ((@list tptp.filling tptp.n2))) % 0.47/0.66 (step @p147 :rule bool-double-not-elim :args (@t67)) % 0.47/0.66 (step @p148 :rule eq_resolve :premises (@p55 @p147)) % 0.47/0.66 (step @p149 :rule true_intro :premises (@p148)) % 0.47/0.66 (step @p150 :rule instantiate :premises (@p36) :args ((@list tptp.n1 tptp.n2))) % 0.47/0.66 (step @p151 :rule symm :premises (@p150)) % 0.47/0.66 (step @p152 :rule trans :premises (@p151 @p31)) % 0.47/0.66 (step @p153 :rule refl :args (tptp.filling)) % 0.47/0.66 (step @p154 :rule cong :premises (@p153 @p152) :args (@t101)) % 0.47/0.66 (step @p155 :rule trans :premises (@p154 @p149)) % 0.47/0.66 (step @p156 :rule true_elim :premises (@p155)) % 0.47/0.66 (step @p157 :rule eq-symm :args (@t103 tptp.tapOn)) % 0.47/0.66 (step @p158 :rule nary_cong :premises (@p157 @p106) :args (@t104)) % 0.47/0.66 (step @p159 :rule refl :args (@t105)) % 0.47/0.66 (step @p160 :rule cong :premises (@p159 @p158) :args (@t106)) % 0.47/0.66 (step @p161 :rule cong :premises (@p111 @p160) :args ((=> @t88 @t106))) % 0.47/0.66 (assume-push @p282 @t88) % 0.47/0.66 (step @p163 :rule instantiate :premises (@p105) :args ((@list @t103 tptp.filling tptp.n2))) % 0.47/0.66 (step-pop @p283 :rule scope :premises (@p163)) % 0.47/0.66 (step @p164 :rule process_scope :premises (@p283) :args (@t106)) % 0.47/0.66 (step @p166 :rule eq_resolve :premises (@p164 @p161)) % 0.47/0.66 (step @p167 :rule implies_elim :premises (@p166)) % 0.47/0.66 (step @p168 :rule chain_m_resolution :premises (@p167 @p105) :args (@t108 @t91 @t92)) % 0.47/0.66 (step @p169 :rule cnf_and_pos :args (@t107 1)) % 0.47/0.66 (step @p170 :rule reordering :premises (@p169) :args ((or @t82 @t109))) % 0.47/0.66 (step @p171 :rule chain_m_resolution :premises (@p170 @p122) :args (@t109 @t91 @t94)) % 0.47/0.66 (step @p172 :rule cnf_equiv_pos1 :args (@t108)) % 0.47/0.66 (step @p173 :rule reordering :premises (@p172) :args ((or @t110 @t107 (not @t108)))) % 0.47/0.66 (step @p174 :rule chain_m_resolution :premises (@p173 @p171 @p168) :args (@t110 @t96 (@list @t107 @t108))) % 0.47/0.66 (step @p175 :rule bool-double-not-elim :args (@t105)) % 0.47/0.66 (step @p176 :rule refl :args (@t111)) % 0.47/0.66 (step @p177 :rule nary_cong :premises (@p176 @p175) :args ((or @t111 (not @t110)))) % 0.47/0.66 (step @p178 :rule cnf_or_neg :args (@t111 1)) % 0.47/0.66 (step @p179 :rule eq_resolve :premises (@p178 @p177)) % 0.47/0.66 (step @p180 :rule reordering :premises (@p179) :args ((or @t105 @t111))) % 0.47/0.66 (step @p181 :rule chain_m_resolution :premises (@p180 @p174) :args (@t111 @t98 (@list @t105))) % 0.47/0.66 (step @p182 :rule refl :args (@t112)) % 0.47/0.66 (step @p183 :rule bool-double-not-elim :args (@t102)) % 0.47/0.66 (step @p184 :rule nary_cong :premises (@p183 @p182) :args ((or (not @t113) @t112))) % 0.47/0.66 (assume-push @p284 @t113) % 0.47/0.66 (step @p186 :rule skolemize :premises (@p284)) % 0.47/0.66 (step-pop @p285 :rule scope :premises (@p186)) % 0.47/0.66 (step @p187 :rule process_scope :premises (@p285) :args (@t112)) % 0.47/0.66 (step @p189 :rule implies_elim :premises (@p187)) % 0.47/0.66 (step @p190 :rule eq_resolve :premises (@p189 @p184)) % 0.47/0.66 (step @p191 :rule chain_m_resolution :premises (@p190 @p181) :args (@t102 @t91 (@list @t111))) % 0.47/0.66 (step @p192 :rule cnf_or_pos :args (@t116)) % 0.47/0.66 (step @p193 :rule reordering :premises (@p192) :args ((or @t115 @t113 @t114 (not @t116)))) % 0.47/0.66 (step @p194 :rule chain_m_resolution :premises (@p193 @p191 @p156 @p146) :args (@t115 @t117 (@list @t102 @t101 @t116))) % 0.47/0.66 (step @p195 :rule symm :premises (@p30)) % 0.47/0.66 (assume-push @p286 @t118) % 0.47/0.66 (assume-push @p287 @t115) % 0.47/0.66 (assume-push @p288 @t115) % 0.47/0.66 (assume-push @p289 @t118) % 0.47/0.66 (step @p200 :rule true_intro :premises (@p287)) % 0.47/0.66 (step @p201 :rule cong :premises (@p153 @p30) :args (@t119)) % 0.47/0.66 (step @p202 :rule trans :premises (@p201 @p200)) % 0.47/0.66 (step @p203 :rule true_elim :premises (@p202)) % 0.47/0.66 (step-pop @p290 :rule scope :premises (@p203)) % 0.47/0.66 (step-pop @p291 :rule scope :premises (@p290)) % 0.47/0.66 (step @p204 :rule process_scope :premises (@p291) :args (@t119)) % 0.47/0.66 (step @p207 :rule and_intro :premises (@p287 @p195)) % 0.47/0.66 (step @p208 :rule modus_ponens :premises (@p207 @p204)) % 0.47/0.66 (step-pop @p292 :rule scope :premises (@p208)) % 0.47/0.66 (step-pop @p293 :rule scope :premises (@p292)) % 0.47/0.66 (step @p209 :rule process_scope :premises (@p293) :args (@t119)) % 0.47/0.66 (step @p212 :rule implies_elim :premises (@p209)) % 0.47/0.66 (step @p213 :rule cnf_and_neg :args (@t120)) % 0.47/0.66 (step @p214 :rule resolution :premises (@p213 @p212) :args (true @t120)) % 0.47/0.66 (step @p215 :rule chain_m_resolution :premises (@p214 @p195 @p194) :args (@t119 @t121 (@list @t118 @t115))) % 0.47/0.66 (step @p216 :rule cnf_or_pos :args (@t124)) % 0.47/0.66 (step @p217 :rule reordering :premises (@p216) :args ((or @t123 @t122 @t100 (not @t124)))) % 0.47/0.66 (step @p218 :rule chain_m_resolution :premises (@p217 @p215 @p145 @p85) :args (@t123 @t117 (@list @t119 @t83 @t124))) % 0.47/0.66 (step @p219 :rule symm :premises (@p27)) % 0.47/0.66 (assume-push @p294 @t125) % 0.47/0.66 (assume-push @p295 @t123) % 0.47/0.66 (assume-push @p296 @t123) % 0.47/0.66 (assume-push @p297 @t125) % 0.47/0.66 (step @p224 :rule true_intro :premises (@p295)) % 0.47/0.66 (step @p225 :rule cong :premises (@p153 @p27) :args (@t126)) % 0.47/0.66 (step @p226 :rule trans :premises (@p225 @p224)) % 0.47/0.66 (step @p227 :rule true_elim :premises (@p226)) % 0.47/0.66 (step-pop @p298 :rule scope :premises (@p227)) % 0.47/0.66 (step-pop @p299 :rule scope :premises (@p298)) % 0.47/0.66 (step @p228 :rule process_scope :premises (@p299) :args (@t126)) % 0.47/0.66 (step @p231 :rule and_intro :premises (@p295 @p219)) % 0.47/0.66 (step @p232 :rule modus_ponens :premises (@p231 @p228)) % 0.47/0.66 (step-pop @p300 :rule scope :premises (@p232)) % 0.47/0.66 (step-pop @p301 :rule scope :premises (@p300)) % 0.47/0.66 (step @p233 :rule process_scope :premises (@p301) :args (@t126)) % 0.47/0.66 (step @p236 :rule implies_elim :premises (@p233)) % 0.47/0.66 (step @p237 :rule cnf_and_neg :args (@t127)) % 0.47/0.66 (step @p238 :rule resolution :premises (@p237 @p236) :args (true @t127)) % 0.47/0.66 (step @p239 :rule chain_m_resolution :premises (@p238 @p219 @p218) :args (@t126 @t121 (@list @t125 @t123))) % 0.47/0.66 (step @p240 :rule cnf_or_pos :args (@t131)) % 0.47/0.66 (step @p241 :rule reordering :premises (@p240) :args ((or @t66 @t128 @t130 (not @t131)))) % 0.47/0.66 (step @p242 :rule chain_m_resolution :premises (@p241 @p53 @p239 @p84) :args (@t130 (@list true false false) (@list @t66 @t126 @t131))) % 0.47/0.66 (step @p243 :rule refl :args (@t136)) % 0.47/0.66 (step @p244 :rule bool-double-not-elim :args (@t129)) % 0.47/0.66 (step @p245 :rule nary_cong :premises (@p244 @p243) :args ((or (not @t130) @t136))) % 0.47/0.66 (assume-push @p302 @t130) % 0.47/0.66 (step @p247 :rule skolemize :premises (@p302)) % 0.47/0.66 (step-pop @p303 :rule scope :premises (@p247)) % 0.47/0.66 (step @p248 :rule process_scope :premises (@p303) :args (@t136)) % 0.47/0.66 (step @p250 :rule implies_elim :premises (@p248)) % 0.47/0.66 (step @p251 :rule eq_resolve :premises (@p250 @p245)) % 0.47/0.66 (step @p252 :rule chain_m_resolution :premises (@p251 @p242) :args (@t136 @t98 (@list @t129))) % 0.47/0.66 (step @p253 :rule bool-double-not-elim :args (@t133)) % 0.47/0.66 (step @p254 :rule refl :args (@t135)) % 0.47/0.66 (step @p255 :rule nary_cong :premises (@p254 @p253) :args ((or @t135 (not @t134)))) % 0.47/0.66 (step @p256 :rule cnf_or_neg :args (@t135 1)) % 0.47/0.66 (step @p257 :rule eq_resolve :premises (@p256 @p255)) % 0.47/0.66 (step @p258 :rule reordering :premises (@p257) :args ((or @t133 @t135))) % 0.47/0.66 (step @p259 :rule chain_m_resolution :premises (@p258 @p252) :args (@t133 @t98 (@list @t135))) % 0.47/0.66 (step @p260 :rule cnf_and_pos :args (@t137 1)) % 0.47/0.66 (step @p261 :rule reordering :premises (@p260) :args ((or @t82 @t138))) % 0.47/0.66 (step @p262 :rule chain_m_resolution :premises (@p261 @p122) :args (@t138 @t91 @t94)) % 0.47/0.66 (step @p263 :rule eq-symm :args (@t132 tptp.tapOn)) % 0.47/0.66 (step @p264 :rule nary_cong :premises (@p263 @p106) :args (@t139)) % 0.47/0.66 (step @p265 :rule refl :args (@t133)) % 0.47/0.66 (step @p266 :rule cong :premises (@p265 @p264) :args (@t140)) % 0.47/0.66 (step @p267 :rule cong :premises (@p111 @p266) :args ((=> @t88 @t140))) % 0.47/0.66 (assume-push @p304 @t88) % 0.47/0.66 (step @p269 :rule instantiate :premises (@p105) :args ((@list @t132 tptp.filling tptp.n0))) % 0.47/0.66 (step-pop @p305 :rule scope :premises (@p269)) % 0.47/0.66 (step @p270 :rule process_scope :premises (@p305) :args (@t140)) % 0.47/0.66 (step @p272 :rule eq_resolve :premises (@p270 @p267)) % 0.47/0.66 (step @p273 :rule implies_elim :premises (@p272)) % 0.47/0.66 (step @p274 :rule chain_m_resolution :premises (@p273 @p105) :args (@t141 @t91 @t92)) % 0.47/0.66 (step @p275 :rule cnf_equiv_pos1 :args (@t141)) % 0.47/0.66 (step @p276 :rule reordering :premises (@p275) :args ((or @t134 @t137 (not @t141)))) % 0.47/0.66 (step @p277 false :rule chain_m_resolution :premises (@p276 @p274 @p262 @p259) :args (false (@list false true false) (@list @t141 @t137 @t133))) % 0.47/0.66 ) % 0.47/0.66 % SZS output end Proof % 0.47/0.66 % cvc5 exiting %------------------------------------------------------------------------------