%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : CSR015+1 : TPTP v9.2.1. Bugfixed v3.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n017.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 0.39s 0.60s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : CSR015+1 : TPTP v9.2.1. Bugfixed v3.1.0. % 0.13/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n017.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Mon Jun 1 20:36:01 EDT 2026 % 0.16/0.34 % CPUTime : % 0.31/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.39/0.60 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.39/0.60 % SZS status Theorem % 0.39/0.60 % SZS output start Proof % 0.39/0.60 ( % 0.39/0.60 (declare-sort $$unsorted 0) % 0.39/0.60 (declare-const tptp.n3 $$unsorted) % 0.39/0.60 (declare-const tptp.n7 $$unsorted) % 0.39/0.60 (declare-const tptp.forwards $$unsorted) % 0.39/0.60 (declare-const tptp.n2 $$unsorted) % 0.39/0.60 (declare-const tptp.backwards $$unsorted) % 0.39/0.60 (declare-const tptp.pull $$unsorted) % 0.39/0.60 (declare-const tptp.spinning $$unsorted) % 0.39/0.60 (declare-const tptp.push $$unsorted) % 0.39/0.60 (declare-const tptp.terminates (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.39/0.60 (declare-const tptp.initiates (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.39/0.60 (declare-const tptp.less_or_equal (-> $$unsorted $$unsorted Bool)) % 0.39/0.60 (declare-const tptp.antitrajectory (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.39/0.60 (declare-const tptp.n6 $$unsorted) % 0.39/0.60 (declare-const tptp.less (-> $$unsorted $$unsorted Bool)) % 0.39/0.60 (declare-const tptp.startedIn (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.39/0.60 (declare-const tptp.happens (-> $$unsorted $$unsorted Bool)) % 0.39/0.60 (declare-const tptp.n9 $$unsorted) % 0.39/0.60 (declare-const tptp.n5 $$unsorted) % 0.39/0.60 (declare-const tptp.releases (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.39/0.60 (declare-const tptp.holdsAt (-> $$unsorted $$unsorted Bool)) % 0.39/0.60 (declare-const tptp.stoppedIn (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.39/0.60 (declare-const tptp.trajectory (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.39/0.60 (declare-const tptp.n8 $$unsorted) % 0.39/0.60 (declare-const tptp.n4 $$unsorted) % 0.39/0.60 (declare-const tptp.n0 $$unsorted) % 0.39/0.60 (declare-const tptp.n1 $$unsorted) % 0.39/0.60 (declare-const tptp.plus (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.60 (declare-const tptp.releasedAt (-> $$unsorted $$unsorted Bool)) % 0.39/0.60 (define @t1 () (@var "Time" $$unsorted)) % 0.39/0.60 (define @t2 () (@var "Fluent" $$unsorted)) % 0.39/0.60 (define @t3 () (@var "Event" $$unsorted)) % 0.39/0.60 (define @t4 () (tptp.terminates @t3 @t2 @t1)) % 0.39/0.60 (define @t5 () (@var "Time2" $$unsorted)) % 0.39/0.60 (define @t6 () (tptp.less @t1 @t5)) % 0.39/0.60 (define @t7 () (@var "Time1" $$unsorted)) % 0.39/0.60 (define @t8 () (tptp.less @t7 @t1)) % 0.39/0.60 (define @t9 () (tptp.happens @t3 @t1)) % 0.39/0.60 (define @t10 () (@list @t3 @t1)) % 0.39/0.60 (define @t11 () (tptp.initiates @t3 @t2 @t1)) % 0.39/0.60 (define @t12 () (@var "Offset" $$unsorted)) % 0.39/0.60 (define @t13 () (tptp.plus @t1 @t12)) % 0.39/0.60 (define @t14 () (@var "Fluent2" $$unsorted)) % 0.39/0.60 (define @t15 () (tptp.plus @t7 @t5)) % 0.39/0.60 (define @t16 () (@var "Fluent1" $$unsorted)) % 0.39/0.60 (define @t17 () (tptp.plus @t1 tptp.n1)) % 0.39/0.60 (define @t18 () (tptp.holdsAt @t2 @t17)) % 0.39/0.60 (define @t19 () (and @t9 @t4)) % 0.39/0.60 (define @t20 () (@list @t3)) % 0.39/0.60 (define @t21 () (tptp.releasedAt @t2 @t17)) % 0.39/0.60 (define @t22 () (not @t21)) % 0.39/0.60 (define @t23 () (tptp.holdsAt @t2 @t1)) % 0.39/0.60 (define @t24 () (@list @t2 @t1)) % 0.39/0.60 (define @t25 () (not @t18)) % 0.39/0.60 (define @t26 () (and @t9 @t11)) % 0.39/0.60 (define @t27 () (exists @t20 @t26)) % 0.39/0.60 (define @t28 () (not @t27)) % 0.39/0.60 (define @t29 () (not @t23)) % 0.39/0.60 (define @t30 () (and @t29 @t22 @t28)) % 0.39/0.60 (define @t31 () (=> @t30 @t25)) % 0.39/0.60 (define @t32 () (forall @t24 @t31)) % 0.39/0.60 (define @t33 () (and @t9 (or @t11 @t4))) % 0.39/0.60 (define @t34 () (tptp.releasedAt @t2 @t1)) % 0.39/0.60 (define @t35 () (tptp.releases @t3 @t2 @t1)) % 0.39/0.60 (define @t36 () (and @t9 @t35)) % 0.39/0.60 (define @t37 () (not @t34)) % 0.39/0.60 (define @t38 () (@list @t3 @t1 @t2)) % 0.39/0.60 (define @t39 () (tptp.happens tptp.push @t1)) % 0.39/0.60 (define @t40 () (= @t2 tptp.spinning)) % 0.39/0.60 (define @t41 () (= @t3 tptp.pull)) % 0.39/0.60 (define @t42 () (not @t39)) % 0.39/0.60 (define @t43 () (= @t2 tptp.backwards)) % 0.39/0.60 (define @t44 () (not (tptp.happens tptp.pull @t1))) % 0.39/0.60 (define @t45 () (= @t2 tptp.forwards)) % 0.39/0.60 (define @t46 () (= @t3 tptp.push)) % 0.39/0.60 (define @t47 () (@list @t3 @t2 @t1)) % 0.39/0.60 (define @t48 () (forall @t47 (= @t11 (or (and @t46 @t45 @t44) (and @t41 @t43 @t42) (and @t41 @t40 @t39))))) % 0.39/0.60 (define @t49 () (= @t1 tptp.n2)) % 0.39/0.60 (define @t50 () (forall @t10 (= @t9 (or (and @t46 (= @t1 tptp.n0)) (and @t41 (= @t1 tptp.n1)) (and @t41 @t49) (and @t46 @t49))))) % 0.39/0.60 (define @t51 () (= tptp.push tptp.pull)) % 0.39/0.60 (define @t52 () (= tptp.forwards tptp.backwards)) % 0.39/0.60 (define @t53 () (tptp.plus tptp.n0 tptp.n1)) % 0.39/0.60 (define @t54 () (@var "X" $$unsorted)) % 0.39/0.60 (define @t55 () (@var "Y" $$unsorted)) % 0.39/0.60 (define @t56 () (@list @t54 @t55)) % 0.39/0.60 (define @t57 () (tptp.less @t54 @t55)) % 0.39/0.60 (define @t58 () (@list @t54)) % 0.39/0.60 (define @t59 () (tptp.holdsAt tptp.backwards tptp.n0)) % 0.39/0.60 (define @t60 () (forall @t24 @t37)) % 0.39/0.60 (define @t61 () (tptp.holdsAt tptp.backwards tptp.n1)) % 0.39/0.60 (define @t62 () (forall @t20 (or (not @t9) (not @t11)))) % 0.39/0.60 (define @t63 () (not @t62)) % 0.39/0.60 (define @t64 () (not @t22)) % 0.39/0.60 (define @t65 () (not @t29)) % 0.39/0.60 (define @t66 () (or @t65 @t64 @t63)) % 0.39/0.60 (define @t67 () (and @t29 @t22 @t62)) % 0.39/0.60 (define @t68 () (forall @t20 (not @t26))) % 0.39/0.60 (define @t69 () (not @t68)) % 0.39/0.60 (define @t70 () (tptp.holdsAt tptp.backwards @t53)) % 0.39/0.60 (define @t71 () (tptp.happens tptp.push tptp.n0)) % 0.39/0.60 (define @t72 () (= tptp.backwards tptp.spinning)) % 0.39/0.60 (define @t73 () (forall @t20 (or (not (tptp.happens @t3 tptp.n0)) (not (tptp.initiates @t3 tptp.backwards tptp.n0))))) % 0.39/0.60 (define @t74 () (@quantifiers_skolemize @t73 0)) % 0.39/0.60 (define @t75 () (= @t74 tptp.pull)) % 0.39/0.60 (define @t76 () (and @t75 @t72 @t71)) % 0.39/0.60 (define @t77 () (not @t71)) % 0.39/0.60 (define @t78 () (= tptp.pull @t74)) % 0.39/0.60 (define @t79 () (and @t78 @t77)) % 0.39/0.60 (define @t80 () (and @t75 (= tptp.backwards tptp.backwards) @t77)) % 0.39/0.60 (define @t81 () (not (tptp.happens tptp.pull tptp.n0))) % 0.39/0.60 (define @t82 () (and (= @t74 tptp.push) (= tptp.backwards tptp.forwards) @t81)) % 0.39/0.60 (define @t83 () (or @t82 @t80 @t76)) % 0.39/0.60 (define @t84 () (tptp.initiates @t74 tptp.backwards tptp.n0)) % 0.39/0.60 (define @t85 () (= @t84 @t83)) % 0.39/0.60 (define @t86 () (and @t78 @t72 @t71)) % 0.39/0.60 (define @t87 () (and (= tptp.push @t74) @t52 @t81)) % 0.39/0.60 (define @t88 () (or @t87 @t79 @t86)) % 0.39/0.60 (define @t89 () (= @t84 @t88)) % 0.39/0.60 (define @t90 () (@list false)) % 0.39/0.60 (define @t91 () (not @t86)) % 0.39/0.60 (define @t92 () (@list true)) % 0.39/0.60 (define @t93 () (= tptp.n0 tptp.n2)) % 0.39/0.60 (define @t94 () (and @t51 @t93)) % 0.39/0.60 (define @t95 () (and @t51 (= tptp.n0 tptp.n1))) % 0.39/0.60 (define @t96 () (= tptp.push tptp.push)) % 0.39/0.60 (define @t97 () (and @t96 @t93)) % 0.39/0.60 (define @t98 () (and @t96 (= tptp.n0 tptp.n0))) % 0.39/0.60 (define @t99 () (or @t98 @t95 @t94 @t97)) % 0.39/0.60 (define @t100 () (= @t71 @t99)) % 0.39/0.60 (define @t101 () (not @t79)) % 0.39/0.60 (define @t102 () (not @t87)) % 0.39/0.60 (define @t103 () (not @t88)) % 0.39/0.60 (define @t104 () (not @t84)) % 0.39/0.60 (define @t105 () (or (not (tptp.happens @t74 tptp.n0)) @t104)) % 0.39/0.60 (define @t106 () (not @t105)) % 0.39/0.60 (define @t107 () (not @t73)) % 0.39/0.60 (define @t108 () (not @t70)) % 0.39/0.60 (define @t109 () (tptp.releasedAt tptp.backwards @t53)) % 0.39/0.60 (define @t110 () (or @t59 @t109 @t107 @t108)) % 0.39/0.60 (assume @p1 (forall (@list @t7 @t2 @t5) (= (tptp.stoppedIn @t7 @t2 @t5) (exists @t10 (and @t9 @t8 @t6 @t4))))) % 0.39/0.60 (assume @p2 (forall (@list @t7 @t5 @t2) (= (tptp.startedIn @t7 @t2 @t5) (exists @t10 (and @t9 @t8 @t6 @t11))))) % 0.39/0.60 (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)))) % 0.39/0.60 (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)))) % 0.39/0.60 (assume @p5 (forall @t24 (=> (and @t23 @t22 (not (exists @t20 @t19))) @t18))) % 0.39/0.60 (assume @p6 @t32) % 0.39/0.60 (assume @p7 (forall @t24 (=> (and @t34 (not (exists @t20 @t33))) @t21))) % 0.39/0.60 (assume @p8 (forall @t24 (=> (and @t37 (not (exists @t20 @t36))) @t22))) % 0.39/0.60 (assume @p9 (forall @t38 (=> @t26 @t18))) % 0.39/0.60 (assume @p10 (forall @t38 (=> @t19 @t25))) % 0.39/0.60 (assume @p11 (forall @t38 (=> @t36 @t21))) % 0.39/0.60 (assume @p12 (forall @t38 (=> @t33 @t22))) % 0.39/0.60 (assume @p13 @t48) % 0.39/0.60 (assume @p14 (forall @t47 (= @t4 (or (and @t46 @t43 @t44) (and @t41 @t45 @t42) (and @t41 @t45 @t39) (and @t41 @t43 @t39) (and @t46 @t40 @t44) (and @t41 @t40 @t42))))) % 0.39/0.60 (assume @p15 (forall @t47 (not @t35))) % 0.39/0.60 (assume @p16 @t50) % 0.39/0.60 (assume @p17 (not @t51)) % 0.39/0.60 (assume @p18 (not @t52)) % 0.39/0.60 (assume @p19 (not (= tptp.forwards tptp.spinning))) % 0.39/0.60 (assume @p20 (not (= tptp.spinning tptp.backwards))) % 0.39/0.60 (assume @p21 (= (tptp.plus tptp.n0 tptp.n0) tptp.n0)) % 0.39/0.60 (assume @p22 (= @t53 tptp.n1)) % 0.39/0.60 (assume @p23 (= (tptp.plus tptp.n0 tptp.n2) tptp.n2)) % 0.39/0.60 (assume @p24 (= (tptp.plus tptp.n0 tptp.n3) tptp.n3)) % 0.39/0.60 (assume @p25 (= (tptp.plus tptp.n1 tptp.n1) tptp.n2)) % 0.39/0.60 (assume @p26 (= (tptp.plus tptp.n1 tptp.n2) tptp.n3)) % 0.39/0.60 (assume @p27 (= (tptp.plus tptp.n1 tptp.n3) tptp.n4)) % 0.39/0.60 (assume @p28 (= (tptp.plus tptp.n2 tptp.n2) tptp.n4)) % 0.39/0.60 (assume @p29 (= (tptp.plus tptp.n2 tptp.n3) tptp.n5)) % 0.39/0.60 (assume @p30 (= (tptp.plus tptp.n3 tptp.n3) tptp.n6)) % 0.39/0.60 (assume @p31 (forall @t56 (= (tptp.plus @t54 @t55) (tptp.plus @t55 @t54)))) % 0.39/0.60 (assume @p32 (forall @t56 (= (tptp.less_or_equal @t54 @t55) (or @t57 (= @t54 @t55))))) % 0.39/0.60 (assume @p33 (not (exists @t58 (tptp.less @t54 tptp.n0)))) % 0.39/0.60 (assume @p34 (forall @t58 (= (tptp.less @t54 tptp.n1) (tptp.less_or_equal @t54 tptp.n0)))) % 0.39/0.60 (assume @p35 (forall @t58 (= (tptp.less @t54 tptp.n2) (tptp.less_or_equal @t54 tptp.n1)))) % 0.39/0.60 (assume @p36 (forall @t58 (= (tptp.less @t54 tptp.n3) (tptp.less_or_equal @t54 tptp.n2)))) % 0.39/0.60 (assume @p37 (forall @t58 (= (tptp.less @t54 tptp.n4) (tptp.less_or_equal @t54 tptp.n3)))) % 0.39/0.60 (assume @p38 (forall @t58 (= (tptp.less @t54 tptp.n5) (tptp.less_or_equal @t54 tptp.n4)))) % 0.39/0.60 (assume @p39 (forall @t58 (= (tptp.less @t54 tptp.n6) (tptp.less_or_equal @t54 tptp.n5)))) % 0.39/0.60 (assume @p40 (forall @t58 (= (tptp.less @t54 tptp.n7) (tptp.less_or_equal @t54 tptp.n6)))) % 0.39/0.60 (assume @p41 (forall @t58 (= (tptp.less @t54 tptp.n8) (tptp.less_or_equal @t54 tptp.n7)))) % 0.39/0.60 (assume @p42 (forall @t58 (= (tptp.less @t54 tptp.n9) (tptp.less_or_equal @t54 tptp.n8)))) % 0.39/0.60 (assume @p43 (forall @t56 (= @t57 (and (not (tptp.less @t55 @t54)) (not (= @t55 @t54)))))) % 0.39/0.60 (assume @p44 (not (tptp.holdsAt tptp.forwards tptp.n0))) % 0.39/0.60 (assume @p45 (not @t59)) % 0.39/0.60 (assume @p46 (not (tptp.holdsAt tptp.spinning tptp.n0))) % 0.39/0.60 (assume @p47 @t60) % 0.39/0.60 (assume @p48 (not (not @t61))) % 0.39/0.60 (assume @p49 true) % 0.39/0.60 (step @p50 :rule aci_norm :args ((= (or (or @t23 @t21 @t63) @t25) (or @t23 @t21 @t63 @t25)))) % 0.39/0.60 (step @p51 :rule refl :args (@t25)) % 0.39/0.60 (step @p52 :rule refl :args (@t63)) % 0.39/0.60 (step @p53 :rule bool-double-not-elim :args (@t21)) % 0.39/0.60 (step @p54 :rule bool-double-not-elim :args (@t23)) % 0.39/0.60 (step @p55 :rule nary_cong :premises (@p54 @p53 @p52) :args (@t66)) % 0.39/0.60 (step @p56 :rule aci_norm :args ((= (or @t65 (or @t64 @t63)) @t66))) % 0.39/0.60 (step @p57 :rule trans :premises (@p56 @p55)) % 0.39/0.60 (step @p58 :rule bool-and-de-morgan :args (@t22 @t62 true)) % 0.39/0.60 (step @p59 :rule refl :args (@t65)) % 0.39/0.60 (step @p60 :rule nary_cong :premises (@p59 @p58) :args ((or @t65 (not (and @t22 @t62))))) % 0.39/0.60 (step @p61 :rule bool-and-de-morgan :args (@t29 @t22 (and @t62))) % 0.39/0.60 (step @p62 :rule trans :premises (@p61 @p60)) % 0.39/0.60 (step @p63 :rule trans :premises (@p62 @p57)) % 0.39/0.60 (step @p64 :rule nary_cong :premises (@p63 @p51) :args ((or (not @t67) @t25))) % 0.39/0.60 (step @p65 :rule trans :premises (@p64 @p50)) % 0.39/0.60 (step @p66 :rule bool-impl-elim :args (@t67 @t25)) % 0.39/0.60 (step @p67 :rule trans :premises (@p66 @p65)) % 0.39/0.60 (step @p68 :rule cong :premises (@p67) :args ((forall @t24 (=> @t67 @t25)))) % 0.39/0.60 (step @p69 :rule refl :args (@t25)) % 0.39/0.60 (step @p70 :rule bool-double-not-elim :args (@t62)) % 0.39/0.60 (step @p71 :rule bool-and-de-morgan :args (@t9 @t11 true)) % 0.39/0.60 (step @p72 :rule cong :premises (@p71) :args (@t68)) % 0.39/0.60 (step @p73 :rule cong :premises (@p72) :args (@t69)) % 0.39/0.60 (step @p74 :rule exists-elim :args ((= @t27 @t69))) % 0.39/0.60 (step @p75 :rule trans :premises (@p74 @p73)) % 0.39/0.60 (step @p76 :rule cong :premises (@p75) :args (@t28)) % 0.39/0.60 (step @p77 :rule trans :premises (@p76 @p70)) % 0.39/0.60 (step @p78 :rule refl :args (@t22)) % 0.39/0.60 (step @p79 :rule refl :args (@t29)) % 0.39/0.60 (step @p80 :rule nary_cong :premises (@p79 @p78 @p77) :args (@t30)) % 0.39/0.60 (step @p81 :rule cong :premises (@p80 @p69) :args (@t31)) % 0.39/0.60 (step @p82 :rule cong :premises (@p81) :args (@t32)) % 0.39/0.60 (step @p83 :rule trans :premises (@p82 @p68)) % 0.39/0.60 (step @p84 :rule eq_resolve :premises (@p6 @p83)) % 0.39/0.60 (step @p85 :rule instantiate :premises (@p84) :args ((@list tptp.backwards tptp.n0))) % 0.39/0.60 (step @p86 :rule bool-double-not-elim :args (@t61)) % 0.39/0.60 (step @p87 :rule eq_resolve :premises (@p48 @p86)) % 0.39/0.60 (step @p88 :rule true_intro :premises (@p87)) % 0.39/0.60 (step @p89 :rule refl :args (tptp.backwards)) % 0.39/0.60 (step @p90 :rule cong :premises (@p89 @p22) :args (@t70)) % 0.39/0.60 (step @p91 :rule trans :premises (@p90 @p88)) % 0.39/0.60 (step @p92 :rule true_elim :premises (@p91)) % 0.39/0.60 (step @p93 :rule refl :args (@t71)) % 0.39/0.60 (step @p94 :rule refl :args (@t72)) % 0.39/0.60 (step @p95 :rule eq-symm :args (@t74 tptp.pull)) % 0.39/0.60 (step @p96 :rule nary_cong :premises (@p95 @p94 @p93) :args (@t76)) % 0.39/0.60 (step @p97 :rule aci_norm :args ((= (and @t78 true @t77) @t79))) % 0.39/0.60 (step @p98 :rule refl :args (@t77)) % 0.39/0.60 (step @p99 :rule eq-refl :args (tptp.backwards)) % 0.39/0.60 (step @p100 :rule nary_cong :premises (@p95 @p99 @p98) :args (@t80)) % 0.39/0.60 (step @p101 :rule trans :premises (@p100 @p97)) % 0.39/0.60 (step @p102 :rule refl :args (@t81)) % 0.39/0.60 (step @p103 :rule eq-symm :args (tptp.backwards tptp.forwards)) % 0.39/0.60 (step @p104 :rule eq-symm :args (@t74 tptp.push)) % 0.39/0.60 (step @p105 :rule nary_cong :premises (@p104 @p103 @p102) :args (@t82)) % 0.39/0.60 (step @p106 :rule nary_cong :premises (@p105 @p101 @p96) :args (@t83)) % 0.39/0.60 (step @p107 :rule refl :args (@t84)) % 0.39/0.60 (step @p108 :rule cong :premises (@p107 @p106) :args (@t85)) % 0.39/0.60 (step @p109 :rule refl :args (@t48)) % 0.39/0.60 (step @p110 :rule cong :premises (@p109 @p108) :args ((=> @t48 @t85))) % 0.39/0.60 (assume-push @p186 @t48) % 0.39/0.60 (step @p112 :rule instantiate :premises (@p13) :args ((@list @t74 tptp.backwards tptp.n0))) % 0.39/0.60 (step-pop @p187 :rule scope :premises (@p112)) % 0.39/0.60 (step @p113 :rule process_scope :premises (@p187) :args (@t85)) % 0.39/0.60 (step @p115 :rule eq_resolve :premises (@p113 @p110)) % 0.39/0.60 (step @p116 :rule implies_elim :premises (@p115)) % 0.39/0.60 (step @p117 :rule chain_m_resolution :premises (@p116 @p13) :args (@t89 @t90 (@list @t48))) % 0.39/0.60 (step @p118 :rule symm :premises (@p20)) % 0.39/0.60 (step @p119 :rule cnf_and_pos :args (@t86 1)) % 0.39/0.60 (step @p120 :rule reordering :premises (@p119) :args ((or @t72 @t91))) % 0.39/0.60 (step @p121 :rule chain_m_resolution :premises (@p120 @p118) :args (@t91 @t92 (@list @t72))) % 0.39/0.60 (step @p122 :rule bool-eq-true :args (@t71)) % 0.39/0.60 (step @p123 :rule absorb :args ((= (or true @t95 @t94 @t93) true))) % 0.39/0.60 (step @p124 :rule aci_norm :args ((= (and true @t93) @t93))) % 0.39/0.60 (step @p125 :rule refl :args (@t93)) % 0.39/0.60 (step @p126 :rule eq-refl :args (tptp.push)) % 0.39/0.60 (step @p127 :rule nary_cong :premises (@p126 @p125) :args (@t97)) % 0.39/0.60 (step @p128 :rule trans :premises (@p127 @p124)) % 0.39/0.60 (step @p129 :rule refl :args (@t94)) % 0.39/0.60 (step @p130 :rule refl :args (@t95)) % 0.39/0.60 (step @p131 :rule evaluate :args ((and true true))) % 0.39/0.60 (step @p132 :rule eq-refl :args (tptp.n0)) % 0.39/0.60 (step @p133 :rule nary_cong :premises (@p126 @p132) :args (@t98)) % 0.39/0.60 (step @p134 :rule trans :premises (@p133 @p131)) % 0.39/0.60 (step @p135 :rule nary_cong :premises (@p134 @p130 @p129 @p128) :args (@t99)) % 0.39/0.60 (step @p136 :rule trans :premises (@p135 @p123)) % 0.39/0.60 (step @p137 :rule cong :premises (@p93 @p136) :args (@t100)) % 0.39/0.60 (step @p138 :rule trans :premises (@p137 @p122)) % 0.39/0.60 (step @p139 :rule refl :args (@t50)) % 0.39/0.60 (step @p140 :rule cong :premises (@p139 @p138) :args ((=> @t50 @t100))) % 0.39/0.60 (assume-push @p188 @t50) % 0.39/0.60 (step @p142 :rule instantiate :premises (@p16) :args ((@list tptp.push tptp.n0))) % 0.39/0.60 (step-pop @p189 :rule scope :premises (@p142)) % 0.39/0.60 (step @p143 :rule process_scope :premises (@p189) :args (@t100)) % 0.39/0.60 (step @p145 :rule eq_resolve :premises (@p143 @p140)) % 0.39/0.60 (step @p146 :rule implies_elim :premises (@p145)) % 0.39/0.60 (step @p147 :rule chain_m_resolution :premises (@p146 @p16) :args (@t71 @t90 (@list @t50))) % 0.39/0.60 (step @p148 :rule cnf_and_pos :args (@t79 1)) % 0.39/0.60 (step @p149 :rule reordering :premises (@p148) :args ((or @t77 @t101))) % 0.39/0.60 (step @p150 :rule chain_m_resolution :premises (@p149 @p147) :args (@t101 @t90 (@list @t71))) % 0.39/0.60 (step @p151 :rule cnf_and_pos :args (@t87 1)) % 0.39/0.60 (step @p152 :rule reordering :premises (@p151) :args ((or @t52 @t102))) % 0.39/0.60 (step @p153 :rule chain_m_resolution :premises (@p152 @p18) :args (@t102 @t92 (@list @t52))) % 0.39/0.60 (step @p154 :rule cnf_or_pos :args (@t88)) % 0.39/0.60 (step @p155 :rule reordering :premises (@p154) :args ((or @t87 @t79 @t86 @t103))) % 0.39/0.60 (step @p156 :rule chain_m_resolution :premises (@p155 @p153 @p150 @p121) :args (@t103 (@list true true true) (@list @t87 @t79 @t86))) % 0.39/0.60 (step @p157 :rule cnf_equiv_pos1 :args (@t89)) % 0.39/0.60 (step @p158 :rule reordering :premises (@p157) :args ((or @t104 @t88 (not @t89)))) % 0.39/0.60 (step @p159 :rule chain_m_resolution :premises (@p158 @p156 @p117) :args (@t104 (@list true false) (@list @t88 @t89))) % 0.39/0.60 (step @p160 :rule bool-double-not-elim :args (@t84)) % 0.39/0.60 (step @p161 :rule refl :args (@t105)) % 0.39/0.60 (step @p162 :rule nary_cong :premises (@p161 @p160) :args ((or @t105 (not @t104)))) % 0.39/0.60 (step @p163 :rule cnf_or_neg :args (@t105 1)) % 0.39/0.60 (step @p164 :rule eq_resolve :premises (@p163 @p162)) % 0.39/0.60 (step @p165 :rule reordering :premises (@p164) :args ((or @t84 @t105))) % 0.39/0.60 (step @p166 :rule chain_m_resolution :premises (@p165 @p159) :args (@t105 @t92 (@list @t84))) % 0.39/0.60 (step @p167 :rule refl :args (@t106)) % 0.39/0.60 (step @p168 :rule bool-double-not-elim :args (@t73)) % 0.39/0.60 (step @p169 :rule nary_cong :premises (@p168 @p167) :args ((or (not @t107) @t106))) % 0.39/0.60 (assume-push @p190 @t107) % 0.39/0.60 (step @p171 :rule skolemize :premises (@p190)) % 0.39/0.60 (step-pop @p191 :rule scope :premises (@p171)) % 0.39/0.60 (step @p172 :rule process_scope :premises (@p191) :args (@t106)) % 0.39/0.60 (step @p174 :rule implies_elim :premises (@p172)) % 0.39/0.60 (step @p175 :rule eq_resolve :premises (@p174 @p169)) % 0.39/0.60 (step @p176 :rule chain_m_resolution :premises (@p175 @p166) :args (@t73 @t90 (@list @t105))) % 0.39/0.60 (step @p177 :rule cnf_or_pos :args (@t110)) % 0.39/0.60 (step @p178 :rule reordering :premises (@p177) :args ((or @t59 @t109 @t107 @t108 (not @t110)))) % 0.39/0.60 (step @p179 :rule chain_m_resolution :premises (@p178 @p45 @p176 @p92 @p85) :args (@t109 (@list true false false false) (@list @t59 @t73 @t70 @t110))) % 0.39/0.60 (assume-push @p192 @t60) % 0.39/0.60 (step @p181 :rule instantiate :premises (@p47) :args ((@list tptp.backwards @t53))) % 0.39/0.60 (step-pop @p193 :rule scope :premises (@p181)) % 0.39/0.60 (step @p182 :rule process_scope :premises (@p193) :args ((not @t109))) % 0.39/0.60 (step @p184 :rule implies_elim :premises (@p182)) % 0.39/0.60 (step @p185 false :rule chain_m_resolution :premises (@p184 @p179 @p47) :args (false (@list false false) (@list @t109 @t60))) % 0.39/0.60 ) % 0.39/0.60 % SZS output end Proof % 0.39/0.61 % cvc5 exiting %------------------------------------------------------------------------------