%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : CSR308_1 : TPTP v9.2.1. Released v9.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n026.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 08:13:19 AM UTC 2026 % Result : Theorem 45.44s 45.78s % Output : Proof 45.44s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.09/0.13 % Problem : CSR308_1 : TPTP v9.2.1. Released v9.1.0. % 0.09/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.35 % Computer : n026.cluster.edu % 0.16/0.35 % Model : x86_64 x86_64 % 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.35 % Memory : 8042.1875MB % 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.35 % CPULimit : 300 % 0.16/0.35 % WCLimit : 300 % 0.16/0.35 % DateTime : Mon Jun 1 22:24:55 EDT 2026 % 0.16/0.35 % CPUTime : % 0.24/0.50 %----Proving TF0_ARI % 45.44/45.78 --- Run --finite-model-find --decision=internal at 45... % 45.44/45.78 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 60... % 45.44/45.78 % SZS status Theorem % 45.44/45.78 % SZS output start Proof % 45.44/45.78 ( % 45.44/45.78 (declare-sort tptp.event 0) % 45.44/45.78 (declare-sort tptp.fluent 0) % 45.44/45.78 (declare-sort tptp.time 0) % 45.44/45.78 (declare-const tptp.spilling tptp.fluent) % 45.44/45.78 (declare-const tptp.filling tptp.fluent) % 45.44/45.78 (declare-const tptp.waterLevel (-> Int tptp.fluent)) % 45.44/45.78 (declare-const tptp.overflow tptp.event) % 45.44/45.78 (declare-const tptp.at_time (-> Int tptp.time)) % 45.44/45.78 (declare-const tptp.terminates (-> tptp.event tptp.fluent tptp.time Bool)) % 45.44/45.78 (declare-const tptp.happens (-> tptp.event tptp.time Bool)) % 45.44/45.78 (declare-const tptp.stoppedIn (-> tptp.time tptp.fluent tptp.time Bool)) % 45.44/45.78 (declare-const tptp.initiates (-> tptp.event tptp.fluent tptp.time Bool)) % 45.44/45.78 (declare-const tptp.startedIn (-> tptp.time tptp.fluent tptp.time Bool)) % 45.44/45.78 (declare-const tptp.releasedAt (-> tptp.fluent tptp.time Bool)) % 45.44/45.78 (declare-const tptp.holdsAt (-> tptp.fluent tptp.time Bool)) % 45.44/45.78 (declare-const tptp.trajectory (-> tptp.fluent tptp.time tptp.fluent Int Bool)) % 45.44/45.78 (declare-const tptp.tapOff tptp.event) % 45.44/45.78 (declare-const tptp.antitrajectory (-> tptp.fluent tptp.time tptp.fluent Int Bool)) % 45.44/45.78 (declare-const tptp.releases (-> tptp.event tptp.fluent tptp.time Bool)) % 45.44/45.78 (declare-const tptp.tapOn tptp.event) % 45.44/45.78 (define @t1 () (@var "Time" Int)) % 45.44/45.78 (define @t2 () (tptp.at_time @t1)) % 45.44/45.78 (define @t3 () (@var "Fluent" tptp.fluent)) % 45.44/45.78 (define @t4 () (@var "Event" tptp.event)) % 45.44/45.78 (define @t5 () (tptp.terminates @t4 @t3 @t2)) % 45.44/45.78 (define @t6 () (@var "Time2" Int)) % 45.44/45.78 (define @t7 () (< @t1 @t6)) % 45.44/45.78 (define @t8 () (@var "Time1" Int)) % 45.44/45.78 (define @t9 () (< @t8 @t1)) % 45.44/45.78 (define @t10 () (tptp.happens @t4 @t2)) % 45.44/45.78 (define @t11 () (@list @t4 @t1)) % 45.44/45.78 (define @t12 () (tptp.at_time @t6)) % 45.44/45.78 (define @t13 () (tptp.at_time @t8)) % 45.44/45.78 (define @t14 () (@list @t8 @t3 @t6)) % 45.44/45.78 (define @t15 () (tptp.initiates @t4 @t3 @t2)) % 45.44/45.78 (define @t16 () (@var "Offset" Int)) % 45.44/45.78 (define @t17 () (tptp.at_time (+ @t1 @t16))) % 45.44/45.78 (define @t18 () (@var "Fluent2" tptp.fluent)) % 45.44/45.78 (define @t19 () (tptp.at_time (+ @t8 @t6))) % 45.44/45.78 (define @t20 () (@var "Fluent1" tptp.fluent)) % 45.44/45.78 (define @t21 () (+ @t1 1)) % 45.44/45.78 (define @t22 () (tptp.at_time @t21)) % 45.44/45.78 (define @t23 () (tptp.holdsAt @t3 @t22)) % 45.44/45.78 (define @t24 () (and @t10 @t5)) % 45.44/45.78 (define @t25 () (@list @t4)) % 45.44/45.78 (define @t26 () (tptp.releasedAt @t3 @t22)) % 45.44/45.78 (define @t27 () (not @t26)) % 45.44/45.78 (define @t28 () (tptp.holdsAt @t3 @t2)) % 45.44/45.78 (define @t29 () (@list @t3 @t1)) % 45.44/45.78 (define @t30 () (not @t23)) % 45.44/45.78 (define @t31 () (and @t10 @t15)) % 45.44/45.78 (define @t32 () (exists @t25 @t31)) % 45.44/45.78 (define @t33 () (not @t32)) % 45.44/45.78 (define @t34 () (not @t28)) % 45.44/45.78 (define @t35 () (and @t34 @t27 @t33)) % 45.44/45.78 (define @t36 () (=> @t35 @t30)) % 45.44/45.78 (define @t37 () (forall @t29 @t36)) % 45.44/45.78 (define @t38 () (and @t10 (or @t15 @t5))) % 45.44/45.78 (define @t39 () (tptp.releasedAt @t3 @t2)) % 45.44/45.78 (define @t40 () (tptp.releases @t4 @t3 @t2)) % 45.44/45.78 (define @t41 () (and @t10 @t40)) % 45.44/45.78 (define @t42 () (exists @t25 @t41)) % 45.44/45.78 (define @t43 () (not @t42)) % 45.44/45.78 (define @t44 () (not @t39)) % 45.44/45.78 (define @t45 () (and @t44 @t43)) % 45.44/45.78 (define @t46 () (=> @t45 @t27)) % 45.44/45.78 (define @t47 () (forall @t29 @t46)) % 45.44/45.78 (define @t48 () (@list @t4 @t1 @t3)) % 45.44/45.78 (define @t49 () (@var "X" Int)) % 45.44/45.78 (define @t50 () (tptp.waterLevel @t49)) % 45.44/45.78 (define @t51 () (@list @t49)) % 45.44/45.78 (define @t52 () (forall @t51 (not (= tptp.filling @t50)))) % 45.44/45.78 (define @t53 () (@var "Y" Int)) % 45.44/45.78 (define @t54 () (@var "Height" Int)) % 45.44/45.78 (define @t55 () (tptp.waterLevel @t54)) % 45.44/45.78 (define @t56 () (= @t3 @t55)) % 45.44/45.78 (define @t57 () (= @t4 tptp.overflow)) % 45.44/45.78 (define @t58 () (tptp.holdsAt @t55 @t2)) % 45.44/45.78 (define @t59 () (@list @t54)) % 45.44/45.78 (define @t60 () (= @t4 tptp.tapOff)) % 45.44/45.78 (define @t61 () (= @t3 tptp.filling)) % 45.44/45.78 (define @t62 () (= @t4 tptp.tapOn)) % 45.44/45.78 (define @t63 () (@list @t4 @t3 @t1)) % 45.44/45.78 (define @t64 () (and @t62 @t56)) % 45.44/45.78 (define @t65 () (exists @t59 @t64)) % 45.44/45.78 (define @t66 () (= @t40 @t65)) % 45.44/45.78 (define @t67 () (forall @t63 @t66)) % 45.44/45.78 (define @t68 () (@var "Height2" Int)) % 45.44/45.78 (define @t69 () (tptp.waterLevel @t68)) % 45.44/45.78 (define @t70 () (@var "Height1" Int)) % 45.44/45.78 (define @t71 () (tptp.holdsAt (tptp.waterLevel @t70) @t2)) % 45.44/45.78 (define @t72 () (tptp.waterLevel 3)) % 45.44/45.78 (define @t73 () (forall @t11 (= @t10 (or (and @t62 (= @t1 0)) (and (tptp.holdsAt @t72 @t2) (tptp.holdsAt tptp.filling @t2) @t57))))) % 45.44/45.78 (define @t74 () (tptp.at_time 0)) % 45.44/45.78 (define @t75 () (@var "X1" Int)) % 45.44/45.78 (define @t76 () (tptp.at_time @t75)) % 45.44/45.78 (define @t77 () (tptp.holdsAt tptp.filling @t76)) % 45.44/45.78 (define @t78 () (tptp.releasedAt tptp.filling @t76)) % 45.44/45.78 (define @t79 () (= @t75 0)) % 45.44/45.78 (define @t80 () (or @t79 @t78 @t77)) % 45.44/45.78 (define @t81 () (tptp.holdsAt tptp.filling (tptp.at_time (+ 1 @t75)))) % 45.44/45.78 (define @t82 () (@list @t75)) % 45.44/45.78 (define @t83 () (forall @t82 (=> @t81 @t80))) % 45.44/45.78 (define @t84 () (not @t83)) % 45.44/45.78 (define @t85 () (not @t81)) % 45.44/45.78 (define @t86 () (or @t85 @t79 @t78 @t77)) % 45.44/45.78 (define @t87 () (@quantifiers_skolemize (forall @t82 @t86) 0)) % 45.44/45.78 (define @t88 () (tptp.at_time (+ 1 @t87))) % 45.44/45.78 (define @t89 () (tptp.holdsAt tptp.filling @t88)) % 45.44/45.78 (define @t90 () (tptp.at_time @t87)) % 45.44/45.78 (define @t91 () (tptp.holdsAt tptp.filling @t90)) % 45.44/45.78 (define @t92 () (tptp.releasedAt tptp.filling @t90)) % 45.44/45.78 (define @t93 () (= @t87 0)) % 45.44/45.78 (define @t94 () (not @t89)) % 45.44/45.78 (define @t95 () (or @t94 @t93 @t92 @t91)) % 45.44/45.78 (define @t96 () (@list true)) % 45.44/45.78 (define @t97 () (@list @t95)) % 45.44/45.78 (define @t98 () (+ 1 @t1)) % 45.44/45.78 (define @t99 () (tptp.at_time @t98)) % 45.44/45.78 (define @t100 () (not (tptp.holdsAt @t3 @t99))) % 45.44/45.78 (define @t101 () (not @t10)) % 45.44/45.78 (define @t102 () (forall @t25 (or @t101 (not @t15)))) % 45.44/45.78 (define @t103 () (not @t102)) % 45.44/45.78 (define @t104 () (tptp.releasedAt @t3 @t99)) % 45.44/45.78 (define @t105 () (not @t104)) % 45.44/45.78 (define @t106 () (not @t105)) % 45.44/45.78 (define @t107 () (not @t34)) % 45.44/45.78 (define @t108 () (or @t107 @t106 @t103)) % 45.44/45.78 (define @t109 () (and @t34 @t105 @t102)) % 45.44/45.78 (define @t110 () (forall @t25 (not @t31))) % 45.44/45.78 (define @t111 () (not @t110)) % 45.44/45.78 (define @t112 () (@list tptp.filling @t87)) % 45.44/45.78 (define @t113 () (not (tptp.happens @t4 @t90))) % 45.44/45.78 (define @t114 () (forall @t25 (or @t113 (not (tptp.initiates @t4 tptp.filling @t90))))) % 45.44/45.78 (define @t115 () (@quantifiers_skolemize @t114 0)) % 45.44/45.78 (define @t116 () (tptp.holdsAt @t72 @t90)) % 45.44/45.78 (define @t117 () (and @t116 @t91 (= @t115 tptp.overflow))) % 45.44/45.78 (define @t118 () (and (= @t115 tptp.tapOn) @t93)) % 45.44/45.78 (define @t119 () (or @t118 @t117)) % 45.44/45.78 (define @t120 () (tptp.happens @t115 @t90)) % 45.44/45.78 (define @t121 () (= @t120 @t119)) % 45.44/45.78 (define @t122 () (and @t116 @t91 (= tptp.overflow @t115))) % 45.44/45.78 (define @t123 () (and (= tptp.tapOn @t115) @t93)) % 45.44/45.78 (define @t124 () (or @t123 @t122)) % 45.44/45.78 (define @t125 () (= @t120 @t124)) % 45.44/45.78 (define @t126 () (@list false)) % 45.44/45.78 (define @t127 () (not @t122)) % 45.44/45.78 (define @t128 () (not @t123)) % 45.44/45.78 (define @t129 () (not @t124)) % 45.44/45.78 (define @t130 () (not @t120)) % 45.44/45.78 (define @t131 () (@list true false)) % 45.44/45.78 (define @t132 () (or @t130 (not (tptp.initiates @t115 tptp.filling @t90)))) % 45.44/45.78 (define @t133 () (not @t132)) % 45.44/45.78 (define @t134 () (not @t114)) % 45.44/45.78 (define @t135 () (forall @t25 (or @t101 (not @t40)))) % 45.44/45.78 (define @t136 () (not @t135)) % 45.44/45.78 (define @t137 () (and @t44 @t135)) % 45.44/45.78 (define @t138 () (forall @t25 (not @t41))) % 45.44/45.78 (define @t139 () (not @t138)) % 45.44/45.78 (define @t140 () (not @t56)) % 45.44/45.78 (define @t141 () (forall @t59 @t140)) % 45.44/45.78 (define @t142 () (not @t141)) % 45.44/45.78 (define @t143 () (not @t62)) % 45.44/45.78 (define @t144 () (or @t143 @t141)) % 45.44/45.78 (define @t145 () (= @t40 (not @t144))) % 45.44/45.78 (define @t146 () (forall @t59 (not @t64))) % 45.44/45.78 (define @t147 () (not @t146)) % 45.44/45.78 (define @t148 () (forall @t59 (not (= tptp.filling @t55)))) % 45.44/45.78 (define @t149 () (not @t148)) % 45.44/45.78 (define @t150 () (forall @t25 (or @t113 (not (tptp.releases @t4 tptp.filling @t90))))) % 45.44/45.78 (define @t151 () (@quantifiers_skolemize @t150 0)) % 45.44/45.78 (define @t152 () (and (= @t151 tptp.tapOn) @t149)) % 45.44/45.78 (define @t153 () (tptp.releases @t151 tptp.filling @t90)) % 45.44/45.78 (define @t154 () (= @t153 @t152)) % 45.44/45.78 (define @t155 () (forall @t63 (= @t40 (and @t62 @t142)))) % 45.44/45.78 (define @t156 () (and (= tptp.tapOn @t151) @t149)) % 45.44/45.78 (define @t157 () (= @t153 @t156)) % 45.44/45.78 (define @t158 () (not @t156)) % 45.44/45.78 (define @t159 () (not @t153)) % 45.44/45.78 (define @t160 () (or (not (tptp.happens @t151 @t90)) @t159)) % 45.44/45.78 (define @t161 () (not @t160)) % 45.44/45.78 (define @t162 () (not @t150)) % 45.44/45.78 (define @t163 () (tptp.releasedAt tptp.filling @t88)) % 45.44/45.78 (define @t164 () (not @t163)) % 45.44/45.78 (define @t165 () (or @t92 @t162 @t164)) % 45.44/45.78 (define @t166 () (or @t91 @t163 @t134 @t94)) % 45.44/45.78 (assume @p1 (forall @t14 (= (tptp.stoppedIn @t13 @t3 @t12) (exists @t11 (and @t10 @t9 @t7 @t5))))) % 45.44/45.78 (assume @p2 (forall @t14 (= (tptp.startedIn @t13 @t3 @t12) (exists @t11 (and @t10 @t9 @t7 @t15))))) % 45.44/45.78 (assume @p3 (forall (@list @t4 @t1 @t3 @t18 @t16) (=> (and @t10 @t15 (< 0 @t16) (tptp.trajectory @t3 @t2 @t18 @t16) (not (tptp.stoppedIn @t2 @t3 @t17))) (tptp.holdsAt @t18 @t17)))) % 45.44/45.78 (assume @p4 (forall (@list @t4 @t8 @t20 @t6 @t18) (=> (and (tptp.happens @t4 @t13) (tptp.terminates @t4 @t20 @t13) (< 0 @t6) (tptp.antitrajectory @t20 @t13 @t18 @t6) (not (tptp.startedIn @t13 @t20 @t19))) (tptp.holdsAt @t18 @t19)))) % 45.44/45.78 (assume @p5 (forall @t29 (=> (and @t28 @t27 (not (exists @t25 @t24))) @t23))) % 45.44/45.78 (assume @p6 @t37) % 45.44/45.78 (assume @p7 (forall @t29 (=> (and @t39 (not (exists @t25 @t38))) @t26))) % 45.44/45.78 (assume @p8 @t47) % 45.44/45.78 (assume @p9 (forall @t48 (=> @t31 @t23))) % 45.44/45.78 (assume @p10 (forall @t48 (=> @t24 @t30))) % 45.44/45.78 (assume @p11 (forall @t48 (=> @t41 @t26))) % 45.44/45.78 (assume @p12 (forall @t48 (=> @t38 @t27))) % 45.44/45.78 (assume @p13 (not (= tptp.tapOn tptp.tapOff))) % 45.44/45.78 (assume @p14 (not (= tptp.tapOn tptp.overflow))) % 45.44/45.78 (assume @p15 (not (= tptp.tapOff tptp.overflow))) % 45.44/45.78 (assume @p16 @t52) % 45.44/45.78 (assume @p17 (forall @t51 (not (= tptp.spilling @t50)))) % 45.44/45.78 (assume @p18 (not (= tptp.filling tptp.spilling))) % 45.44/45.78 (assume @p19 (forall (@list @t49 @t53) (= (= @t50 (tptp.waterLevel @t53)) (= @t49 @t53)))) % 45.44/45.78 (assume @p20 (forall @t63 (= @t15 (or (and @t62 @t61) (and @t57 (= @t3 tptp.spilling)) (exists @t59 (and @t58 @t60 @t56)) (exists @t59 (and @t58 @t57 @t56)))))) % 45.44/45.78 (assume @p21 (forall @t63 (= @t5 (or (and @t60 @t61) (and @t57 @t61))))) % 45.44/45.78 (assume @p22 @t67) % 45.44/45.78 (assume @p23 (forall (@list @t70 @t1 @t68 @t16) (=> (and @t71 (= @t68 (+ @t70 @t16))) (tptp.trajectory tptp.filling @t2 @t69 @t16)))) % 45.44/45.78 (assume @p24 (forall (@list @t1 @t70 @t68) (=> (and @t71 (tptp.holdsAt @t69 @t2)) (= @t70 @t68)))) % 45.44/45.78 (assume @p25 @t73) % 45.44/45.78 (assume @p26 (tptp.holdsAt (tptp.waterLevel 0) @t74)) % 45.44/45.78 (assume @p27 (not (tptp.holdsAt tptp.filling @t74))) % 45.44/45.78 (assume @p28 (not (tptp.holdsAt tptp.spilling @t74))) % 45.44/45.78 (assume @p29 (forall @t59 (not (tptp.releasedAt @t55 @t74)))) % 45.44/45.78 (assume @p30 (not (tptp.releasedAt tptp.filling @t74))) % 45.44/45.78 (assume @p31 (not (tptp.releasedAt tptp.spilling @t74))) % 45.44/45.78 (assume @p32 @t84) % 45.44/45.78 (assume @p33 true) % 45.44/45.78 (step @p34 :rule aci_norm :args ((= (or @t85 @t80) @t86))) % 45.44/45.78 (step @p35 :rule bool-impl-elim :args (@t81 @t80)) % 45.44/45.78 (step @p36 :rule trans :premises (@p35 @p34)) % 45.44/45.78 (step @p37 :rule cong :premises (@p36) :args (@t83)) % 45.44/45.78 (step @p38 :rule cong :premises (@p37) :args (@t84)) % 45.44/45.78 (step @p39 :rule eq_resolve :premises (@p32 @p38)) % 45.44/45.78 (step @p40 :rule skolemize :premises (@p39)) % 45.44/45.78 (step @p41 :rule bool-double-not-elim :args (@t89)) % 45.44/45.78 (step @p42 :rule refl :args (@t95)) % 45.44/45.78 (step @p43 :rule nary_cong :premises (@p42 @p41) :args ((or @t95 (not @t94)))) % 45.44/45.78 (step @p44 :rule cnf_or_neg :args (@t95 0)) % 45.44/45.78 (step @p45 :rule eq_resolve :premises (@p44 @p43)) % 45.44/45.78 (step @p46 :rule reordering :premises (@p45) :args ((or @t89 @t95))) % 45.44/45.78 (step @p47 :rule chain_m_resolution :premises (@p46 @p40) :args (@t89 @t96 @t97)) % 45.44/45.78 (step @p48 :rule cnf_or_neg :args (@t95 3)) % 45.44/45.78 (step @p49 :rule chain_m_resolution :premises (@p48 @p40) :args ((not @t91) @t96 @t97)) % 45.44/45.78 (step @p50 :rule aci_norm :args ((= (or (or @t28 @t104 @t103) @t100) (or @t28 @t104 @t103 @t100)))) % 45.44/45.78 (step @p51 :rule refl :args (@t100)) % 45.44/45.78 (step @p52 :rule refl :args (@t103)) % 45.44/45.78 (step @p53 :rule bool-double-not-elim :args (@t104)) % 45.44/45.78 (step @p54 :rule bool-double-not-elim :args (@t28)) % 45.44/45.78 (step @p55 :rule nary_cong :premises (@p54 @p53 @p52) :args (@t108)) % 45.44/45.78 (step @p56 :rule aci_norm :args ((= (or @t107 (or @t106 @t103)) @t108))) % 45.44/45.78 (step @p57 :rule trans :premises (@p56 @p55)) % 45.44/45.78 (step @p58 :rule bool-and-de-morgan :args (@t105 @t102 true)) % 45.44/45.78 (step @p59 :rule refl :args (@t107)) % 45.44/45.78 (step @p60 :rule nary_cong :premises (@p59 @p58) :args ((or @t107 (not (and @t105 @t102))))) % 45.44/45.78 (step @p61 :rule bool-and-de-morgan :args (@t34 @t105 (and @t102))) % 45.44/45.78 (step @p62 :rule trans :premises (@p61 @p60)) % 45.44/45.78 (step @p63 :rule trans :premises (@p62 @p57)) % 45.44/45.78 (step @p64 :rule nary_cong :premises (@p63 @p51) :args ((or (not @t109) @t100))) % 45.44/45.78 (step @p65 :rule trans :premises (@p64 @p50)) % 45.44/45.78 (step @p66 :rule bool-impl-elim :args (@t109 @t100)) % 45.44/45.78 (step @p67 :rule trans :premises (@p66 @p65)) % 45.44/45.78 (step @p68 :rule cong :premises (@p67) :args ((forall @t29 (=> @t109 @t100)))) % 45.44/45.78 (step @p69 :rule arith_poly_norm :args ((= @t21 @t98))) % 45.44/45.78 (step @p70 :rule cong :premises (@p69) :args (@t22)) % 45.44/45.78 (step @p71 :rule refl :args (@t3)) % 45.44/45.78 (step @p72 :rule cong :premises (@p71 @p70) :args (@t23)) % 45.44/45.78 (step @p73 :rule cong :premises (@p72) :args (@t30)) % 45.44/45.78 (step @p74 :rule bool-double-not-elim :args (@t102)) % 45.44/45.78 (step @p75 :rule bool-and-de-morgan :args (@t10 @t15 true)) % 45.44/45.78 (step @p76 :rule cong :premises (@p75) :args (@t110)) % 45.44/45.78 (step @p77 :rule cong :premises (@p76) :args (@t111)) % 45.44/45.78 (step @p78 :rule exists-elim :args ((= @t32 @t111))) % 45.44/45.78 (step @p79 :rule trans :premises (@p78 @p77)) % 45.44/45.78 (step @p80 :rule cong :premises (@p79) :args (@t33)) % 45.44/45.78 (step @p81 :rule trans :premises (@p80 @p74)) % 45.44/45.78 (step @p82 :rule cong :premises (@p71 @p70) :args (@t26)) % 45.44/45.78 (step @p83 :rule cong :premises (@p82) :args (@t27)) % 45.44/45.78 (step @p84 :rule refl :args (@t34)) % 45.44/45.78 (step @p85 :rule nary_cong :premises (@p84 @p83 @p81) :args (@t35)) % 45.44/45.78 (step @p86 :rule cong :premises (@p85 @p73) :args (@t36)) % 45.44/45.78 (step @p87 :rule cong :premises (@p86) :args (@t37)) % 45.44/45.78 (step @p88 :rule trans :premises (@p87 @p68)) % 45.44/45.78 (step @p89 :rule eq_resolve :premises (@p6 @p88)) % 45.44/45.78 (step @p90 :rule instantiate :premises (@p89) :args (@t112)) % 45.44/45.78 (step @p91 :rule eq-symm :args (@t115 tptp.overflow)) % 45.44/45.78 (step @p92 :rule refl :args (@t91)) % 45.44/45.78 (step @p93 :rule refl :args (@t116)) % 45.44/45.78 (step @p94 :rule nary_cong :premises (@p93 @p92 @p91) :args (@t117)) % 45.44/45.78 (step @p95 :rule refl :args (@t93)) % 45.44/45.78 (step @p96 :rule eq-symm :args (@t115 tptp.tapOn)) % 45.44/45.78 (step @p97 :rule nary_cong :premises (@p96 @p95) :args (@t118)) % 45.44/45.78 (step @p98 :rule nary_cong :premises (@p97 @p94) :args (@t119)) % 45.44/45.78 (step @p99 :rule refl :args (@t120)) % 45.44/45.78 (step @p100 :rule cong :premises (@p99 @p98) :args (@t121)) % 45.44/45.78 (step @p101 :rule refl :args (@t73)) % 45.44/45.78 (step @p102 :rule cong :premises (@p101 @p100) :args ((=> @t73 @t121))) % 45.44/45.78 (assume-push @p236 @t73) % 45.44/45.78 (step @p104 :rule instantiate :premises (@p25) :args ((@list @t115 @t87))) % 45.44/45.78 (step-pop @p237 :rule scope :premises (@p104)) % 45.44/45.78 (step @p105 :rule process_scope :premises (@p237) :args (@t121)) % 45.44/45.78 (step @p107 :rule eq_resolve :premises (@p105 @p102)) % 45.44/45.78 (step @p108 :rule implies_elim :premises (@p107)) % 45.44/45.78 (step @p109 :rule chain_m_resolution :premises (@p108 @p25) :args (@t125 @t126 (@list @t73))) % 45.44/45.78 (step @p110 :rule cnf_and_pos :args (@t122 1)) % 45.44/45.78 (step @p111 :rule reordering :premises (@p110) :args ((or @t91 @t127))) % 45.44/45.78 (step @p112 :rule chain_m_resolution :premises (@p111 @p49) :args (@t127 @t96 (@list @t91))) % 45.44/45.78 (step @p113 :rule cnf_or_neg :args (@t95 1)) % 45.44/45.78 (step @p114 :rule chain_m_resolution :premises (@p113 @p40) :args ((not @t93) @t96 @t97)) % 45.44/45.78 (step @p115 :rule cnf_and_pos :args (@t123 1)) % 45.44/45.78 (step @p116 :rule reordering :premises (@p115) :args ((or @t93 @t128))) % 45.44/45.78 (step @p117 :rule chain_m_resolution :premises (@p116 @p114) :args (@t128 @t96 (@list @t93))) % 45.44/45.78 (step @p118 :rule cnf_or_pos :args (@t124)) % 45.44/45.78 (step @p119 :rule reordering :premises (@p118) :args ((or @t123 @t122 @t129))) % 45.44/45.78 (step @p120 :rule chain_m_resolution :premises (@p119 @p117 @p112) :args (@t129 (@list true true) (@list @t123 @t122))) % 45.44/45.78 (step @p121 :rule cnf_equiv_pos1 :args (@t125)) % 45.44/45.78 (step @p122 :rule reordering :premises (@p121) :args ((or @t130 @t124 (not @t125)))) % 45.44/45.78 (step @p123 :rule chain_m_resolution :premises (@p122 @p120 @p109) :args (@t130 @t131 (@list @t124 @t125))) % 45.44/45.78 (step @p124 :rule bool-double-not-elim :args (@t120)) % 45.44/45.78 (step @p125 :rule refl :args (@t132)) % 45.44/45.78 (step @p126 :rule nary_cong :premises (@p125 @p124) :args ((or @t132 (not @t130)))) % 45.44/45.78 (step @p127 :rule cnf_or_neg :args (@t132 0)) % 45.44/45.78 (step @p128 :rule eq_resolve :premises (@p127 @p126)) % 45.44/45.78 (step @p129 :rule reordering :premises (@p128) :args ((or @t120 @t132))) % 45.44/45.78 (step @p130 :rule chain_m_resolution :premises (@p129 @p123) :args (@t132 @t96 (@list @t120))) % 45.44/45.78 (step @p131 :rule refl :args (@t133)) % 45.44/45.78 (step @p132 :rule bool-double-not-elim :args (@t114)) % 45.44/45.78 (step @p133 :rule nary_cong :premises (@p132 @p131) :args ((or (not @t134) @t133))) % 45.44/45.78 (assume-push @p238 @t134) % 45.44/45.78 (step @p135 :rule skolemize :premises (@p238)) % 45.44/45.78 (step-pop @p239 :rule scope :premises (@p135)) % 45.44/45.78 (step @p136 :rule process_scope :premises (@p239) :args (@t133)) % 45.44/45.78 (step @p138 :rule implies_elim :premises (@p136)) % 45.44/45.78 (step @p139 :rule eq_resolve :premises (@p138 @p133)) % 45.44/45.78 (step @p140 :rule chain_m_resolution :premises (@p139 @p130) :args (@t114 @t126 (@list @t132))) % 45.44/45.78 (step @p141 :rule aci_norm :args ((= (or (or @t39 @t136) @t105) (or @t39 @t136 @t105)))) % 45.44/45.78 (step @p142 :rule refl :args (@t105)) % 45.44/45.78 (step @p143 :rule refl :args (@t136)) % 45.44/45.78 (step @p144 :rule bool-double-not-elim :args (@t39)) % 45.44/45.78 (step @p145 :rule nary_cong :premises (@p144 @p143) :args ((or (not @t44) @t136))) % 45.44/45.78 (step @p146 :rule bool-and-de-morgan :args (@t44 @t135 true)) % 45.44/45.78 (step @p147 :rule trans :premises (@p146 @p145)) % 45.44/45.78 (step @p148 :rule nary_cong :premises (@p147 @p142) :args ((or (not @t137) @t105))) % 45.44/45.78 (step @p149 :rule trans :premises (@p148 @p141)) % 45.44/45.78 (step @p150 :rule bool-impl-elim :args (@t137 @t105)) % 45.44/45.78 (step @p151 :rule trans :premises (@p150 @p149)) % 45.44/45.78 (step @p152 :rule cong :premises (@p151) :args ((forall @t29 (=> @t137 @t105)))) % 45.44/45.78 (step @p153 :rule bool-double-not-elim :args (@t135)) % 45.44/45.78 (step @p154 :rule bool-and-de-morgan :args (@t10 @t40 true)) % 45.44/45.78 (step @p155 :rule cong :premises (@p154) :args (@t138)) % 45.44/45.78 (step @p156 :rule cong :premises (@p155) :args (@t139)) % 45.44/45.78 (step @p157 :rule exists-elim :args ((= @t42 @t139))) % 45.44/45.78 (step @p158 :rule trans :premises (@p157 @p156)) % 45.44/45.78 (step @p159 :rule cong :premises (@p158) :args (@t43)) % 45.44/45.78 (step @p160 :rule trans :premises (@p159 @p153)) % 45.44/45.78 (step @p161 :rule refl :args (@t44)) % 45.44/45.78 (step @p162 :rule nary_cong :premises (@p161 @p160) :args (@t45)) % 45.44/45.78 (step @p163 :rule cong :premises (@p162 @p83) :args (@t46)) % 45.44/45.78 (step @p164 :rule cong :premises (@p163) :args (@t47)) % 45.44/45.78 (step @p165 :rule trans :premises (@p164 @p152)) % 45.44/45.78 (step @p166 :rule eq_resolve :premises (@p8 @p165)) % 45.44/45.78 (step @p167 :rule instantiate :premises (@p166) :args (@t112)) % 45.44/45.78 (step @p168 :rule refl :args (@t142)) % 45.44/45.78 (step @p169 :rule bool-double-not-elim :args (@t62)) % 45.44/45.78 (step @p170 :rule nary_cong :premises (@p169 @p168) :args ((and (not @t143) @t142))) % 45.44/45.78 (step @p171 :rule bool-or-de-morgan :args (@t143 @t141 false)) % 45.44/45.78 (step @p172 :rule trans :premises (@p171 @p170)) % 45.44/45.78 (step @p173 :rule refl :args (@t40)) % 45.44/45.78 (step @p174 :rule cong :premises (@p173 @p172) :args (@t145)) % 45.44/45.78 (step @p175 :rule cong :premises (@p174) :args ((forall @t63 @t145))) % 45.44/45.78 (step @p176 :rule quant-miniscope-or :args ((= (forall @t59 (or @t143 @t140)) @t144))) % 45.44/45.78 (step @p177 :rule bool-and-de-morgan :args (@t62 @t56 true)) % 45.44/45.78 (step @p178 :rule cong :premises (@p177) :args (@t146)) % 45.44/45.78 (step @p179 :rule trans :premises (@p178 @p176)) % 45.44/45.78 (step @p180 :rule cong :premises (@p179) :args (@t147)) % 45.44/45.78 (step @p181 :rule exists-elim :args ((= @t65 @t147))) % 45.44/45.78 (step @p182 :rule trans :premises (@p181 @p180)) % 45.44/45.78 (step @p183 :rule refl :args (@t40)) % 45.44/45.78 (step @p184 :rule cong :premises (@p183 @p182) :args (@t66)) % 45.44/45.78 (step @p185 :rule cong :premises (@p184) :args (@t67)) % 45.44/45.78 (step @p186 :rule trans :premises (@p185 @p175)) % 45.44/45.78 (step @p187 :rule eq_resolve :premises (@p22 @p186)) % 45.44/45.78 (step @p188 :rule refl :args (@t149)) % 45.44/45.78 (step @p189 :rule eq-symm :args (@t151 tptp.tapOn)) % 45.44/45.78 (step @p190 :rule nary_cong :premises (@p189 @p188) :args (@t152)) % 45.44/45.78 (step @p191 :rule refl :args (@t153)) % 45.44/45.78 (step @p192 :rule cong :premises (@p191 @p190) :args (@t154)) % 45.44/45.78 (step @p193 :rule refl :args (@t155)) % 45.44/45.78 (step @p194 :rule cong :premises (@p193 @p192) :args ((=> @t155 @t154))) % 45.44/45.78 (assume-push @p240 @t155) % 45.44/45.78 (step @p196 :rule instantiate :premises (@p187) :args ((@list @t151 tptp.filling @t87))) % 45.44/45.78 (step-pop @p241 :rule scope :premises (@p196)) % 45.44/45.78 (step @p197 :rule process_scope :premises (@p241) :args (@t154)) % 45.44/45.78 (step @p199 :rule eq_resolve :premises (@p197 @p194)) % 45.44/45.78 (step @p200 :rule implies_elim :premises (@p199)) % 45.44/45.78 (step @p201 :rule chain_m_resolution :premises (@p200 @p187) :args (@t157 @t126 (@list @t155))) % 45.44/45.78 (step @p202 :rule alpha_equiv :args (@t52 (@list @t49) (@list @t54))) % 45.44/45.78 (step @p203 :rule equiv_elim1 :premises (@p202)) % 45.44/45.78 (step @p204 :rule chain_m_resolution :premises (@p203 @p16) :args (@t148 @t126 (@list @t52))) % 45.44/45.78 (step @p205 :rule cnf_and_pos :args (@t156 1)) % 45.44/45.78 (step @p206 :rule reordering :premises (@p205) :args ((or @t149 @t158))) % 45.44/45.78 (step @p207 :rule chain_m_resolution :premises (@p206 @p204) :args (@t158 @t126 (@list @t148))) % 45.44/45.78 (step @p208 :rule cnf_equiv_pos1 :args (@t157)) % 45.44/45.78 (step @p209 :rule reordering :premises (@p208) :args ((or @t159 @t156 (not @t157)))) % 45.44/45.78 (step @p210 :rule chain_m_resolution :premises (@p209 @p207 @p201) :args (@t159 @t131 (@list @t156 @t157))) % 45.44/45.78 (step @p211 :rule bool-double-not-elim :args (@t153)) % 45.44/45.78 (step @p212 :rule refl :args (@t160)) % 45.44/45.78 (step @p213 :rule nary_cong :premises (@p212 @p211) :args ((or @t160 (not @t159)))) % 45.44/45.78 (step @p214 :rule cnf_or_neg :args (@t160 1)) % 45.44/45.78 (step @p215 :rule eq_resolve :premises (@p214 @p213)) % 45.44/45.78 (step @p216 :rule reordering :premises (@p215) :args ((or @t153 @t160))) % 45.44/45.78 (step @p217 :rule chain_m_resolution :premises (@p216 @p210) :args (@t160 @t96 (@list @t153))) % 45.44/45.78 (step @p218 :rule refl :args (@t161)) % 45.44/45.78 (step @p219 :rule bool-double-not-elim :args (@t150)) % 45.44/45.78 (step @p220 :rule nary_cong :premises (@p219 @p218) :args ((or (not @t162) @t161))) % 45.44/45.78 (assume-push @p242 @t162) % 45.44/45.78 (step @p222 :rule skolemize :premises (@p242)) % 45.44/45.78 (step-pop @p243 :rule scope :premises (@p222)) % 45.44/45.78 (step @p223 :rule process_scope :premises (@p243) :args (@t161)) % 45.44/45.78 (step @p225 :rule implies_elim :premises (@p223)) % 45.44/45.78 (step @p226 :rule eq_resolve :premises (@p225 @p220)) % 45.44/45.78 (step @p227 :rule chain_m_resolution :premises (@p226 @p217) :args (@t150 @t126 (@list @t160))) % 45.44/45.78 (step @p228 :rule cnf_or_neg :args (@t95 2)) % 45.44/45.78 (step @p229 :rule chain_m_resolution :premises (@p228 @p40) :args ((not @t92) @t96 @t97)) % 45.44/45.78 (step @p230 :rule cnf_or_pos :args (@t165)) % 45.44/45.78 (step @p231 :rule reordering :premises (@p230) :args ((or @t92 @t162 @t164 (not @t165)))) % 45.44/45.78 (step @p232 :rule chain_m_resolution :premises (@p231 @p229 @p227 @p167) :args (@t164 (@list true false false) (@list @t92 @t150 @t165))) % 45.44/45.78 (step @p233 :rule cnf_or_pos :args (@t166)) % 45.44/45.78 (step @p234 :rule reordering :premises (@p233) :args ((or @t94 @t91 @t163 @t134 (not @t166)))) % 45.44/45.78 (step @p235 false :rule chain_m_resolution :premises (@p234 @p232 @p140 @p90 @p49 @p47) :args (false (@list true false false true false) (@list @t163 @t114 @t166 @t91 @t89))) % 45.44/45.78 ) % 45.44/45.78 % SZS output end Proof % 45.44/45.78 % cvc5 exiting %------------------------------------------------------------------------------