%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : CSR016+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 : n015.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 0.41s 0.62s % Output : Proof 0.41s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : CSR016+1 : TPTP v9.2.1. Bugfixed v3.1.0. % 0.11/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n015.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 : Mon Jun 1 20:37:34 EDT 2026 % 0.17/0.34 % CPUTime : % 0.31/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.41/0.62 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.41/0.62 % SZS status Theorem % 0.41/0.62 % SZS output start Proof % 0.41/0.62 ( % 0.41/0.62 (declare-sort $$unsorted 0) % 0.41/0.62 (declare-const tptp.n3 $$unsorted) % 0.41/0.62 (declare-const tptp.n7 $$unsorted) % 0.41/0.62 (declare-const tptp.forwards $$unsorted) % 0.41/0.62 (declare-const tptp.n2 $$unsorted) % 0.41/0.62 (declare-const tptp.backwards $$unsorted) % 0.41/0.62 (declare-const tptp.pull $$unsorted) % 0.41/0.62 (declare-const tptp.spinning $$unsorted) % 0.41/0.62 (declare-const tptp.push $$unsorted) % 0.41/0.62 (declare-const tptp.terminates (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.41/0.62 (declare-const tptp.initiates (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.41/0.62 (declare-const tptp.less_or_equal (-> $$unsorted $$unsorted Bool)) % 0.41/0.62 (declare-const tptp.antitrajectory (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.41/0.62 (declare-const tptp.n6 $$unsorted) % 0.41/0.62 (declare-const tptp.less (-> $$unsorted $$unsorted Bool)) % 0.41/0.62 (declare-const tptp.startedIn (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.41/0.62 (declare-const tptp.happens (-> $$unsorted $$unsorted Bool)) % 0.41/0.62 (declare-const tptp.n9 $$unsorted) % 0.41/0.62 (declare-const tptp.n5 $$unsorted) % 0.41/0.62 (declare-const tptp.releases (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.41/0.62 (declare-const tptp.holdsAt (-> $$unsorted $$unsorted Bool)) % 0.41/0.62 (declare-const tptp.stoppedIn (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.41/0.62 (declare-const tptp.trajectory (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.41/0.62 (declare-const tptp.n8 $$unsorted) % 0.41/0.62 (declare-const tptp.n4 $$unsorted) % 0.41/0.62 (declare-const tptp.n0 $$unsorted) % 0.41/0.62 (declare-const tptp.n1 $$unsorted) % 0.41/0.62 (declare-const tptp.plus (-> $$unsorted $$unsorted $$unsorted)) % 0.41/0.62 (declare-const tptp.releasedAt (-> $$unsorted $$unsorted Bool)) % 0.41/0.62 (define @t1 () (@var "Time" $$unsorted)) % 0.41/0.62 (define @t2 () (@var "Fluent" $$unsorted)) % 0.41/0.62 (define @t3 () (@var "Event" $$unsorted)) % 0.41/0.62 (define @t4 () (tptp.terminates @t3 @t2 @t1)) % 0.41/0.62 (define @t5 () (@var "Time2" $$unsorted)) % 0.41/0.62 (define @t6 () (tptp.less @t1 @t5)) % 0.41/0.62 (define @t7 () (@var "Time1" $$unsorted)) % 0.41/0.62 (define @t8 () (tptp.less @t7 @t1)) % 0.41/0.62 (define @t9 () (tptp.happens @t3 @t1)) % 0.41/0.62 (define @t10 () (@list @t3 @t1)) % 0.41/0.62 (define @t11 () (tptp.initiates @t3 @t2 @t1)) % 0.41/0.62 (define @t12 () (@var "Offset" $$unsorted)) % 0.41/0.62 (define @t13 () (tptp.plus @t1 @t12)) % 0.41/0.62 (define @t14 () (@var "Fluent2" $$unsorted)) % 0.41/0.62 (define @t15 () (tptp.plus @t7 @t5)) % 0.41/0.62 (define @t16 () (@var "Fluent1" $$unsorted)) % 0.41/0.62 (define @t17 () (tptp.plus @t1 tptp.n1)) % 0.41/0.62 (define @t18 () (tptp.holdsAt @t2 @t17)) % 0.41/0.62 (define @t19 () (and @t9 @t4)) % 0.41/0.62 (define @t20 () (@list @t3)) % 0.41/0.62 (define @t21 () (tptp.releasedAt @t2 @t17)) % 0.41/0.62 (define @t22 () (not @t21)) % 0.41/0.62 (define @t23 () (tptp.holdsAt @t2 @t1)) % 0.41/0.62 (define @t24 () (@list @t2 @t1)) % 0.41/0.62 (define @t25 () (not @t18)) % 0.41/0.62 (define @t26 () (and @t9 @t11)) % 0.41/0.62 (define @t27 () (and @t9 (or @t11 @t4))) % 0.41/0.62 (define @t28 () (tptp.releasedAt @t2 @t1)) % 0.41/0.62 (define @t29 () (tptp.releases @t3 @t2 @t1)) % 0.41/0.62 (define @t30 () (and @t9 @t29)) % 0.41/0.62 (define @t31 () (not @t28)) % 0.41/0.62 (define @t32 () (@list @t3 @t1 @t2)) % 0.41/0.62 (define @t33 () (forall @t32 (=> @t26 @t18))) % 0.41/0.62 (define @t34 () (tptp.happens tptp.push @t1)) % 0.41/0.62 (define @t35 () (= @t2 tptp.spinning)) % 0.41/0.62 (define @t36 () (= @t3 tptp.pull)) % 0.41/0.62 (define @t37 () (not @t34)) % 0.41/0.62 (define @t38 () (= @t2 tptp.backwards)) % 0.41/0.62 (define @t39 () (not (tptp.happens tptp.pull @t1))) % 0.41/0.62 (define @t40 () (= @t2 tptp.forwards)) % 0.41/0.62 (define @t41 () (= @t3 tptp.push)) % 0.41/0.62 (define @t42 () (@list @t3 @t2 @t1)) % 0.41/0.62 (define @t43 () (forall @t42 (= @t11 (or (and @t41 @t40 @t39) (and @t36 @t38 @t37) (and @t36 @t35 @t34))))) % 0.41/0.62 (define @t44 () (= @t1 tptp.n2)) % 0.41/0.62 (define @t45 () (forall @t10 (= @t9 (or (and @t41 (= @t1 tptp.n0)) (and @t36 (= @t1 tptp.n1)) (and @t36 @t44) (and @t41 @t44))))) % 0.41/0.62 (define @t46 () (= tptp.push tptp.pull)) % 0.41/0.62 (define @t47 () (= tptp.forwards tptp.backwards)) % 0.41/0.62 (define @t48 () (= tptp.forwards tptp.spinning)) % 0.41/0.62 (define @t49 () (tptp.plus tptp.n0 tptp.n1)) % 0.41/0.62 (define @t50 () (@var "X" $$unsorted)) % 0.41/0.62 (define @t51 () (@var "Y" $$unsorted)) % 0.41/0.62 (define @t52 () (@list @t50 @t51)) % 0.41/0.62 (define @t53 () (tptp.less @t50 @t51)) % 0.41/0.62 (define @t54 () (forall @t52 (= (tptp.less_or_equal @t50 @t51) (or @t53 (= @t50 @t51))))) % 0.41/0.62 (define @t55 () (@list @t50)) % 0.41/0.62 (define @t56 () (forall @t55 (= (tptp.less @t50 tptp.n1) (tptp.less_or_equal @t50 tptp.n0)))) % 0.41/0.62 (define @t57 () (not (= @t51 @t50))) % 0.41/0.62 (define @t58 () (not (tptp.less @t51 @t50))) % 0.41/0.62 (define @t59 () (and @t58 @t57)) % 0.41/0.62 (define @t60 () (= @t53 @t59)) % 0.41/0.62 (define @t61 () (forall @t52 @t60)) % 0.41/0.62 (define @t62 () (@list tptp.n0)) % 0.41/0.62 (define @t63 () (@list tptp.n0 tptp.n1)) % 0.41/0.62 (define @t64 () (tptp.less tptp.n0 tptp.n1)) % 0.41/0.62 (define @t65 () (tptp.less_or_equal tptp.n0 tptp.n0)) % 0.41/0.62 (define @t66 () (= @t64 @t65)) % 0.41/0.62 (define @t67 () (= @t65 @t64)) % 0.41/0.62 (define @t68 () (@list false)) % 0.41/0.62 (define @t69 () (tptp.less tptp.n0 tptp.n0)) % 0.41/0.62 (define @t70 () (= tptp.n0 tptp.n0)) % 0.41/0.62 (define @t71 () (or @t69 @t70)) % 0.41/0.62 (define @t72 () (= @t65 @t71)) % 0.41/0.62 (define @t73 () (@list false false)) % 0.41/0.62 (define @t74 () (= tptp.n0 tptp.n1)) % 0.41/0.62 (define @t75 () (or @t64 @t74)) % 0.41/0.62 (define @t76 () (not @t64)) % 0.41/0.62 (define @t77 () (tptp.less_or_equal tptp.n0 tptp.n1)) % 0.41/0.62 (define @t78 () (= @t77 @t75)) % 0.41/0.62 (define @t79 () (tptp.less tptp.n0 tptp.n2)) % 0.41/0.62 (define @t80 () (= @t79 @t77)) % 0.41/0.62 (define @t81 () (= tptp.n0 tptp.n2)) % 0.41/0.62 (define @t82 () (not @t81)) % 0.41/0.62 (define @t83 () (and (not (tptp.less tptp.n2 tptp.n0)) @t82)) % 0.41/0.62 (define @t84 () (= @t79 @t83)) % 0.41/0.62 (define @t85 () (= tptp.pull tptp.push)) % 0.41/0.62 (define @t86 () (and @t85 @t81)) % 0.41/0.62 (define @t87 () (= tptp.pull tptp.pull)) % 0.41/0.62 (define @t88 () (and @t87 @t81)) % 0.41/0.62 (define @t89 () (and @t87 @t74)) % 0.41/0.62 (define @t90 () (and @t85 @t70)) % 0.41/0.62 (define @t91 () (or @t90 @t89 @t88 @t86)) % 0.41/0.62 (define @t92 () (tptp.happens tptp.pull tptp.n0)) % 0.41/0.62 (define @t93 () (= @t92 @t91)) % 0.41/0.62 (define @t94 () (and @t46 @t81)) % 0.41/0.62 (define @t95 () (or @t46 @t74 @t81 @t94)) % 0.41/0.62 (define @t96 () (= @t92 @t95)) % 0.41/0.62 (define @t97 () (@list @t45)) % 0.41/0.62 (define @t98 () (tptp.happens tptp.push tptp.n0)) % 0.41/0.62 (define @t99 () (and @t46 @t48 @t98)) % 0.41/0.62 (define @t100 () (not @t98)) % 0.41/0.62 (define @t101 () (and @t46 @t47 @t100)) % 0.41/0.62 (define @t102 () (not @t92)) % 0.41/0.62 (define @t103 () (= tptp.push tptp.push)) % 0.41/0.62 (define @t104 () (and @t103 (= tptp.forwards tptp.forwards) @t102)) % 0.41/0.62 (define @t105 () (or @t104 @t101 @t99)) % 0.41/0.62 (define @t106 () (tptp.initiates tptp.push tptp.forwards tptp.n0)) % 0.41/0.62 (define @t107 () (= @t106 @t105)) % 0.41/0.62 (define @t108 () (or @t102 @t101 @t99)) % 0.41/0.62 (define @t109 () (= @t106 @t108)) % 0.41/0.62 (define @t110 () (not @t11)) % 0.41/0.62 (define @t111 () (not @t9)) % 0.41/0.62 (define @t112 () (tptp.holdsAt tptp.forwards @t49)) % 0.41/0.62 (define @t113 () (and @t46 @t74)) % 0.41/0.62 (define @t114 () (and @t103 @t81)) % 0.41/0.62 (define @t115 () (and @t103 @t70)) % 0.41/0.62 (define @t116 () (or @t115 @t113 @t94 @t114)) % 0.41/0.62 (define @t117 () (= @t98 @t116)) % 0.41/0.62 (define @t118 () (not @t106)) % 0.41/0.62 (define @t119 () (or @t100 @t118 @t112)) % 0.41/0.62 (define @t120 () (not @t108)) % 0.41/0.62 (define @t121 () (@list true)) % 0.41/0.62 (define @t122 () (not @t94)) % 0.41/0.62 (define @t123 () (not @t74)) % 0.41/0.62 (define @t124 () (and (not (tptp.less tptp.n1 tptp.n0)) @t123)) % 0.41/0.62 (define @t125 () (= @t64 @t124)) % 0.41/0.62 (assume @p1 (forall (@list @t7 @t2 @t5) (= (tptp.stoppedIn @t7 @t2 @t5) (exists @t10 (and @t9 @t8 @t6 @t4))))) % 0.41/0.62 (assume @p2 (forall (@list @t7 @t5 @t2) (= (tptp.startedIn @t7 @t2 @t5) (exists @t10 (and @t9 @t8 @t6 @t11))))) % 0.41/0.62 (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)))) % 0.41/0.62 (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)))) % 0.41/0.62 (assume @p5 (forall @t24 (=> (and @t23 @t22 (not (exists @t20 @t19))) @t18))) % 0.41/0.62 (assume @p6 (forall @t24 (=> (and (not @t23) @t22 (not (exists @t20 @t26))) @t25))) % 0.41/0.62 (assume @p7 (forall @t24 (=> (and @t28 (not (exists @t20 @t27))) @t21))) % 0.41/0.62 (assume @p8 (forall @t24 (=> (and @t31 (not (exists @t20 @t30))) @t22))) % 0.41/0.62 (assume @p9 @t33) % 0.41/0.62 (assume @p10 (forall @t32 (=> @t19 @t25))) % 0.41/0.62 (assume @p11 (forall @t32 (=> @t30 @t21))) % 0.41/0.62 (assume @p12 (forall @t32 (=> @t27 @t22))) % 0.41/0.62 (assume @p13 @t43) % 0.41/0.62 (assume @p14 (forall @t42 (= @t4 (or (and @t41 @t38 @t39) (and @t36 @t40 @t37) (and @t36 @t40 @t34) (and @t36 @t38 @t34) (and @t41 @t35 @t39) (and @t36 @t35 @t37))))) % 0.41/0.62 (assume @p15 (forall @t42 (not @t29))) % 0.41/0.62 (assume @p16 @t45) % 0.41/0.62 (assume @p17 (not @t46)) % 0.41/0.62 (assume @p18 (not @t47)) % 0.41/0.62 (assume @p19 (not @t48)) % 0.41/0.62 (assume @p20 (not (= tptp.spinning tptp.backwards))) % 0.41/0.62 (assume @p21 (= (tptp.plus tptp.n0 tptp.n0) tptp.n0)) % 0.41/0.62 (assume @p22 (= @t49 tptp.n1)) % 0.41/0.62 (assume @p23 (= (tptp.plus tptp.n0 tptp.n2) tptp.n2)) % 0.41/0.62 (assume @p24 (= (tptp.plus tptp.n0 tptp.n3) tptp.n3)) % 0.41/0.62 (assume @p25 (= (tptp.plus tptp.n1 tptp.n1) tptp.n2)) % 0.41/0.62 (assume @p26 (= (tptp.plus tptp.n1 tptp.n2) tptp.n3)) % 0.41/0.62 (assume @p27 (= (tptp.plus tptp.n1 tptp.n3) tptp.n4)) % 0.41/0.62 (assume @p28 (= (tptp.plus tptp.n2 tptp.n2) tptp.n4)) % 0.41/0.62 (assume @p29 (= (tptp.plus tptp.n2 tptp.n3) tptp.n5)) % 0.41/0.62 (assume @p30 (= (tptp.plus tptp.n3 tptp.n3) tptp.n6)) % 0.41/0.62 (assume @p31 (forall @t52 (= (tptp.plus @t50 @t51) (tptp.plus @t51 @t50)))) % 0.41/0.62 (assume @p32 @t54) % 0.41/0.62 (assume @p33 (not (exists @t55 (tptp.less @t50 tptp.n0)))) % 0.41/0.62 (assume @p34 @t56) % 0.41/0.62 (assume @p35 (forall @t55 (= (tptp.less @t50 tptp.n2) (tptp.less_or_equal @t50 tptp.n1)))) % 0.41/0.62 (assume @p36 (forall @t55 (= (tptp.less @t50 tptp.n3) (tptp.less_or_equal @t50 tptp.n2)))) % 0.41/0.62 (assume @p37 (forall @t55 (= (tptp.less @t50 tptp.n4) (tptp.less_or_equal @t50 tptp.n3)))) % 0.41/0.62 (assume @p38 (forall @t55 (= (tptp.less @t50 tptp.n5) (tptp.less_or_equal @t50 tptp.n4)))) % 0.41/0.62 (assume @p39 (forall @t55 (= (tptp.less @t50 tptp.n6) (tptp.less_or_equal @t50 tptp.n5)))) % 0.41/0.62 (assume @p40 (forall @t55 (= (tptp.less @t50 tptp.n7) (tptp.less_or_equal @t50 tptp.n6)))) % 0.41/0.62 (assume @p41 (forall @t55 (= (tptp.less @t50 tptp.n8) (tptp.less_or_equal @t50 tptp.n7)))) % 0.41/0.62 (assume @p42 (forall @t55 (= (tptp.less @t50 tptp.n9) (tptp.less_or_equal @t50 tptp.n8)))) % 0.41/0.62 (assume @p43 @t61) % 0.41/0.62 (assume @p44 (not (tptp.holdsAt tptp.forwards tptp.n0))) % 0.41/0.62 (assume @p45 (not (tptp.holdsAt tptp.backwards tptp.n0))) % 0.41/0.62 (assume @p46 (not (tptp.holdsAt tptp.spinning tptp.n0))) % 0.41/0.62 (assume @p47 (forall @t24 @t31)) % 0.41/0.62 (assume @p48 (not (tptp.holdsAt tptp.forwards tptp.n1))) % 0.41/0.62 (assume @p49 true) % 0.41/0.62 (step @p50 :rule eq-symm :args (@t51 @t50)) % 0.41/0.62 (step @p51 :rule cong :premises (@p50) :args (@t57)) % 0.41/0.62 (step @p52 :rule refl :args (@t58)) % 0.41/0.62 (step @p53 :rule nary_cong :premises (@p52 @p51) :args (@t59)) % 0.41/0.62 (step @p54 :rule refl :args (@t53)) % 0.41/0.62 (step @p55 :rule cong :premises (@p54 @p53) :args (@t60)) % 0.41/0.62 (step @p56 :rule cong :premises (@p55) :args (@t61)) % 0.41/0.62 (step @p57 :rule eq_resolve :premises (@p43 @p56)) % 0.41/0.62 (step @p58 :rule instantiate :premises (@p57) :args ((@list tptp.n0 tptp.n2))) % 0.41/0.62 (step @p59 :rule instantiate :premises (@p35) :args (@t62)) % 0.41/0.62 (step @p60 :rule instantiate :premises (@p32) :args (@t63)) % 0.41/0.62 (step @p61 :rule eq-symm :args (@t64 @t65)) % 0.41/0.62 (step @p62 :rule refl :args (@t56)) % 0.41/0.62 (step @p63 :rule cong :premises (@p62 @p61) :args ((=> @t56 @t66))) % 0.41/0.62 (assume-push @p219 @t56) % 0.41/0.62 (step @p65 :rule instantiate :premises (@p34) :args (@t62)) % 0.41/0.62 (step-pop @p220 :rule scope :premises (@p65)) % 0.41/0.62 (step @p66 :rule process_scope :premises (@p220) :args (@t66)) % 0.41/0.62 (step @p68 :rule eq_resolve :premises (@p66 @p63)) % 0.41/0.62 (step @p69 :rule implies_elim :premises (@p68)) % 0.41/0.62 (step @p70 :rule chain_m_resolution :premises (@p69 @p34) :args (@t67 @t68 (@list @t56))) % 0.41/0.62 (step @p71 :rule bool-eq-true :args (@t65)) % 0.41/0.62 (step @p72 :rule absorb :args ((= (or @t69 true) true))) % 0.41/0.62 (step @p73 :rule eq-refl :args (tptp.n0)) % 0.41/0.62 (step @p74 :rule refl :args (@t69)) % 0.41/0.62 (step @p75 :rule nary_cong :premises (@p74 @p73) :args (@t71)) % 0.41/0.62 (step @p76 :rule trans :premises (@p75 @p72)) % 0.41/0.62 (step @p77 :rule refl :args (@t65)) % 0.41/0.62 (step @p78 :rule cong :premises (@p77 @p76) :args (@t72)) % 0.41/0.62 (step @p79 :rule trans :premises (@p78 @p71)) % 0.41/0.62 (step @p80 :rule refl :args (@t54)) % 0.41/0.62 (step @p81 :rule cong :premises (@p80 @p79) :args ((=> @t54 @t72))) % 0.41/0.62 (assume-push @p221 @t54) % 0.41/0.62 (step @p83 :rule instantiate :premises (@p32) :args ((@list tptp.n0 tptp.n0))) % 0.41/0.62 (step-pop @p222 :rule scope :premises (@p83)) % 0.41/0.62 (step @p84 :rule process_scope :premises (@p222) :args (@t72)) % 0.41/0.62 (step @p86 :rule eq_resolve :premises (@p84 @p81)) % 0.41/0.62 (step @p87 :rule implies_elim :premises (@p86)) % 0.41/0.62 (step @p88 :rule chain_m_resolution :premises (@p87 @p32) :args (@t65 @t68 (@list @t54))) % 0.41/0.62 (step @p89 :rule cnf_equiv_pos1 :args (@t67)) % 0.41/0.62 (step @p90 :rule reordering :premises (@p89) :args ((or @t64 (not @t65) (not @t67)))) % 0.41/0.62 (step @p91 :rule chain_m_resolution :premises (@p90 @p88 @p70) :args (@t64 @t73 (@list @t65 @t67))) % 0.41/0.62 (step @p92 :rule cnf_or_neg :args (@t75 0)) % 0.41/0.62 (step @p93 :rule reordering :premises (@p92) :args ((or @t76 @t75))) % 0.41/0.62 (step @p94 :rule chain_m_resolution :premises (@p93 @p91) :args (@t75 @t68 (@list @t64))) % 0.41/0.62 (step @p95 :rule cnf_equiv_pos2 :args (@t78)) % 0.41/0.62 (step @p96 :rule reordering :premises (@p95) :args ((or @t77 (not @t75) (not @t78)))) % 0.41/0.62 (step @p97 :rule chain_m_resolution :premises (@p96 @p94 @p60) :args (@t77 @t73 (@list @t75 @t78))) % 0.41/0.62 (step @p98 :rule cnf_equiv_pos2 :args (@t80)) % 0.41/0.62 (step @p99 :rule reordering :premises (@p98) :args ((or @t79 (not @t77) (not @t80)))) % 0.41/0.62 (step @p100 :rule chain_m_resolution :premises (@p99 @p97 @p59) :args (@t79 @t73 (@list @t77 @t80))) % 0.41/0.62 (step @p101 :rule cnf_equiv_pos1 :args (@t84)) % 0.41/0.62 (step @p102 :rule reordering :premises (@p101) :args ((or (not @t79) @t83 (not @t84)))) % 0.41/0.62 (step @p103 :rule chain_m_resolution :premises (@p102 @p100 @p58) :args (@t83 @t73 (@list @t79 @t84))) % 0.41/0.62 (step @p104 :rule refl :args (@t81)) % 0.41/0.62 (step @p105 :rule eq-symm :args (tptp.pull tptp.push)) % 0.41/0.62 (step @p106 :rule nary_cong :premises (@p105 @p104) :args (@t86)) % 0.41/0.62 (step @p107 :rule aci_norm :args ((= (and true @t81) @t81))) % 0.41/0.62 (step @p108 :rule eq-refl :args (tptp.pull)) % 0.41/0.62 (step @p109 :rule nary_cong :premises (@p108 @p104) :args (@t88)) % 0.41/0.62 (step @p110 :rule trans :premises (@p109 @p107)) % 0.41/0.62 (step @p111 :rule aci_norm :args ((= (and true @t74) @t74))) % 0.41/0.62 (step @p112 :rule refl :args (@t74)) % 0.41/0.62 (step @p113 :rule nary_cong :premises (@p108 @p112) :args (@t89)) % 0.41/0.62 (step @p114 :rule trans :premises (@p113 @p111)) % 0.41/0.62 (step @p115 :rule aci_norm :args ((= (and @t46 true) @t46))) % 0.41/0.62 (step @p116 :rule nary_cong :premises (@p105 @p73) :args (@t90)) % 0.41/0.62 (step @p117 :rule trans :premises (@p116 @p115)) % 0.41/0.62 (step @p118 :rule nary_cong :premises (@p117 @p114 @p110 @p106) :args (@t91)) % 0.41/0.62 (step @p119 :rule refl :args (@t92)) % 0.41/0.62 (step @p120 :rule cong :premises (@p119 @p118) :args (@t93)) % 0.41/0.62 (step @p121 :rule refl :args (@t45)) % 0.41/0.62 (step @p122 :rule cong :premises (@p121 @p120) :args ((=> @t45 @t93))) % 0.41/0.62 (assume-push @p223 @t45) % 0.41/0.62 (step @p124 :rule instantiate :premises (@p16) :args ((@list tptp.pull tptp.n0))) % 0.41/0.62 (step-pop @p224 :rule scope :premises (@p124)) % 0.41/0.62 (step @p125 :rule process_scope :premises (@p224) :args (@t93)) % 0.41/0.62 (step @p127 :rule eq_resolve :premises (@p125 @p122)) % 0.41/0.62 (step @p128 :rule implies_elim :premises (@p127)) % 0.41/0.62 (step @p129 :rule chain_m_resolution :premises (@p128 @p16) :args (@t96 @t68 @t97)) % 0.41/0.62 (step @p130 :rule refl :args (@t99)) % 0.41/0.62 (step @p131 :rule refl :args (@t101)) % 0.41/0.62 (step @p132 :rule aci_norm :args ((= (and true true @t102) @t102))) % 0.41/0.62 (step @p133 :rule refl :args (@t102)) % 0.41/0.62 (step @p134 :rule eq-refl :args (tptp.forwards)) % 0.41/0.62 (step @p135 :rule eq-refl :args (tptp.push)) % 0.41/0.62 (step @p136 :rule nary_cong :premises (@p135 @p134 @p133) :args (@t104)) % 0.41/0.62 (step @p137 :rule trans :premises (@p136 @p132)) % 0.41/0.62 (step @p138 :rule nary_cong :premises (@p137 @p131 @p130) :args (@t105)) % 0.41/0.62 (step @p139 :rule refl :args (@t106)) % 0.41/0.62 (step @p140 :rule cong :premises (@p139 @p138) :args (@t107)) % 0.41/0.62 (step @p141 :rule refl :args (@t43)) % 0.41/0.62 (step @p142 :rule cong :premises (@p141 @p140) :args ((=> @t43 @t107))) % 0.41/0.62 (assume-push @p225 @t43) % 0.41/0.62 (step @p144 :rule instantiate :premises (@p13) :args ((@list tptp.push tptp.forwards tptp.n0))) % 0.41/0.62 (step-pop @p226 :rule scope :premises (@p144)) % 0.41/0.62 (step @p145 :rule process_scope :premises (@p226) :args (@t107)) % 0.41/0.62 (step @p147 :rule eq_resolve :premises (@p145 @p142)) % 0.41/0.62 (step @p148 :rule implies_elim :premises (@p147)) % 0.41/0.62 (step @p149 :rule chain_m_resolution :premises (@p148 @p13) :args (@t109 @t68 (@list @t43))) % 0.41/0.62 (step @p150 :rule aci_norm :args ((= (or (or @t111 @t110) @t18) (or @t111 @t110 @t18)))) % 0.41/0.62 (step @p151 :rule refl :args (@t18)) % 0.41/0.62 (step @p152 :rule bool-and-de-morgan :args (@t9 @t11 true)) % 0.41/0.62 (step @p153 :rule nary_cong :premises (@p152 @p151) :args ((or (not @t26) @t18))) % 0.41/0.62 (step @p154 :rule trans :premises (@p153 @p150)) % 0.41/0.62 (step @p155 :rule bool-impl-elim :args (@t26 @t18)) % 0.41/0.62 (step @p156 :rule trans :premises (@p155 @p154)) % 0.41/0.62 (step @p157 :rule cong :premises (@p156) :args (@t33)) % 0.41/0.62 (step @p158 :rule eq_resolve :premises (@p9 @p157)) % 0.41/0.62 (step @p159 :rule instantiate :premises (@p158) :args ((@list tptp.push tptp.n0 tptp.forwards))) % 0.41/0.62 (step @p160 :rule false_intro :premises (@p48)) % 0.41/0.62 (step @p161 :rule refl :args (tptp.forwards)) % 0.41/0.62 (step @p162 :rule cong :premises (@p161 @p22) :args (@t112)) % 0.41/0.62 (step @p163 :rule trans :premises (@p162 @p160)) % 0.41/0.62 (step @p164 :rule false_elim :premises (@p163)) % 0.41/0.62 (step @p165 :rule bool-eq-true :args (@t98)) % 0.41/0.62 (step @p166 :rule absorb :args ((= (or true @t113 @t94 @t81) true))) % 0.41/0.62 (step @p167 :rule nary_cong :premises (@p135 @p104) :args (@t114)) % 0.41/0.62 (step @p168 :rule trans :premises (@p167 @p107)) % 0.41/0.62 (step @p169 :rule refl :args (@t94)) % 0.41/0.62 (step @p170 :rule refl :args (@t113)) % 0.41/0.62 (step @p171 :rule evaluate :args ((and true true))) % 0.41/0.62 (step @p172 :rule nary_cong :premises (@p135 @p73) :args (@t115)) % 0.41/0.62 (step @p173 :rule trans :premises (@p172 @p171)) % 0.41/0.62 (step @p174 :rule nary_cong :premises (@p173 @p170 @p169 @p168) :args (@t116)) % 0.41/0.62 (step @p175 :rule trans :premises (@p174 @p166)) % 0.41/0.62 (step @p176 :rule refl :args (@t98)) % 0.41/0.62 (step @p177 :rule cong :premises (@p176 @p175) :args (@t117)) % 0.41/0.62 (step @p178 :rule trans :premises (@p177 @p165)) % 0.41/0.62 (step @p179 :rule cong :premises (@p121 @p178) :args ((=> @t45 @t117))) % 0.41/0.62 (assume-push @p227 @t45) % 0.41/0.62 (step @p181 :rule instantiate :premises (@p16) :args ((@list tptp.push tptp.n0))) % 0.41/0.62 (step-pop @p228 :rule scope :premises (@p181)) % 0.41/0.62 (step @p182 :rule process_scope :premises (@p228) :args (@t117)) % 0.41/0.62 (step @p184 :rule eq_resolve :premises (@p182 @p179)) % 0.41/0.62 (step @p185 :rule implies_elim :premises (@p184)) % 0.41/0.62 (step @p186 :rule chain_m_resolution :premises (@p185 @p16) :args (@t98 @t68 @t97)) % 0.41/0.62 (step @p187 :rule cnf_or_pos :args (@t119)) % 0.41/0.62 (step @p188 :rule reordering :premises (@p187) :args ((or @t100 @t118 @t112 (not @t119)))) % 0.41/0.62 (step @p189 :rule chain_m_resolution :premises (@p188 @p186 @p164 @p159) :args (@t118 (@list false true false) (@list @t98 @t112 @t119))) % 0.41/0.62 (step @p190 :rule cnf_equiv_pos2 :args (@t109)) % 0.41/0.62 (step @p191 :rule reordering :premises (@p190) :args ((or @t106 @t120 (not @t109)))) % 0.41/0.62 (step @p192 :rule chain_m_resolution :premises (@p191 @p189 @p149) :args (@t120 (@list true false) (@list @t106 @t109))) % 0.41/0.62 (step @p193 :rule bool-double-not-elim :args (@t92)) % 0.41/0.62 (step @p194 :rule refl :args (@t108)) % 0.41/0.62 (step @p195 :rule nary_cong :premises (@p194 @p193) :args ((or @t108 (not @t102)))) % 0.41/0.62 (step @p196 :rule cnf_or_neg :args (@t108 0)) % 0.41/0.62 (step @p197 :rule eq_resolve :premises (@p196 @p195)) % 0.41/0.62 (step @p198 :rule reordering :premises (@p197) :args ((or @t92 @t108))) % 0.41/0.62 (step @p199 :rule chain_m_resolution :premises (@p198 @p192) :args (@t92 @t121 (@list @t108))) % 0.41/0.62 (step @p200 :rule cnf_equiv_pos1 :args (@t96)) % 0.41/0.62 (step @p201 :rule reordering :premises (@p200) :args ((or @t102 @t95 (not @t96)))) % 0.41/0.62 (step @p202 :rule chain_m_resolution :premises (@p201 @p199 @p129) :args (@t95 @t73 (@list @t92 @t96))) % 0.41/0.62 (step @p203 :rule cnf_and_pos :args (@t94 0)) % 0.41/0.62 (step @p204 :rule reordering :premises (@p203) :args ((or @t46 @t122))) % 0.41/0.62 (step @p205 :rule chain_m_resolution :premises (@p204 @p17) :args (@t122 @t121 (@list @t46))) % 0.41/0.62 (step @p206 :rule instantiate :premises (@p57) :args (@t63)) % 0.41/0.62 (step @p207 :rule cnf_equiv_pos1 :args (@t125)) % 0.41/0.62 (step @p208 :rule reordering :premises (@p207) :args ((or @t76 @t124 (not @t125)))) % 0.41/0.62 (step @p209 :rule chain_m_resolution :premises (@p208 @p91 @p206) :args (@t124 @t73 (@list @t64 @t125))) % 0.41/0.62 (step @p210 :rule cnf_and_pos :args (@t124 1)) % 0.41/0.62 (step @p211 :rule reordering :premises (@p210) :args ((or @t123 (not @t124)))) % 0.41/0.62 (step @p212 :rule chain_m_resolution :premises (@p211 @p209) :args (@t123 @t68 (@list @t124))) % 0.41/0.62 (step @p213 :rule cnf_or_pos :args (@t95)) % 0.41/0.62 (step @p214 :rule reordering :premises (@p213) :args ((or @t46 @t74 @t81 @t94 (not @t95)))) % 0.41/0.62 (step @p215 :rule chain_m_resolution :premises (@p214 @p17 @p212 @p205 @p202) :args (@t81 (@list true true true false) (@list @t46 @t74 @t94 @t95))) % 0.41/0.62 (step @p216 :rule cnf_and_pos :args (@t83 1)) % 0.41/0.62 (step @p217 :rule reordering :premises (@p216) :args ((or @t82 (not @t83)))) % 0.41/0.62 (step @p218 false :rule chain_m_resolution :premises (@p217 @p215 @p103) :args (false @t73 (@list @t81 @t83))) % 0.41/0.62 ) % 0.41/0.62 % SZS output end Proof % 0.41/0.62 % cvc5 exiting %------------------------------------------------------------------------------