%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : CSR004+2 : 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 : 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 08:11:10 AM UTC 2026 % Result : Theorem 0.35s 0.60s % Output : Proof 0.35s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : CSR004+2 : TPTP v9.2.1. Bugfixed v3.1.0. % 0.00/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n027.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 20:36:21 EDT 2026 % 0.16/0.34 % CPUTime : % 0.27/0.52 %----Proving TF0_NAR, FOF, or CNF % 0.35/0.60 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.35/0.60 % SZS status Theorem % 0.35/0.60 % SZS output start Proof % 0.35/0.60 ( % 0.35/0.60 (declare-sort $$unsorted 0) % 0.35/0.60 (declare-const tptp.n7 $$unsorted) % 0.35/0.60 (declare-const tptp.n6 $$unsorted) % 0.35/0.60 (declare-const tptp.n5 $$unsorted) % 0.35/0.60 (declare-const tptp.n3 $$unsorted) % 0.35/0.60 (declare-const tptp.less_or_equal (-> $$unsorted $$unsorted Bool)) % 0.35/0.60 (declare-const tptp.tapOn $$unsorted) % 0.35/0.60 (declare-const tptp.filling $$unsorted) % 0.35/0.60 (declare-const tptp.spilling $$unsorted) % 0.35/0.60 (declare-const tptp.overflow $$unsorted) % 0.35/0.60 (declare-const tptp.n2 $$unsorted) % 0.35/0.60 (declare-const tptp.waterLevel (-> $$unsorted $$unsorted)) % 0.35/0.60 (declare-const tptp.terminates (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.35/0.60 (declare-const tptp.initiates (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.35/0.60 (declare-const tptp.antitrajectory (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.35/0.60 (declare-const tptp.n9 $$unsorted) % 0.35/0.60 (declare-const tptp.n4 $$unsorted) % 0.35/0.60 (declare-const tptp.less (-> $$unsorted $$unsorted Bool)) % 0.35/0.60 (declare-const tptp.startedIn (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.35/0.60 (declare-const tptp.happens (-> $$unsorted $$unsorted Bool)) % 0.35/0.60 (declare-const tptp.releases (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.35/0.60 (declare-const tptp.holdsAt (-> $$unsorted $$unsorted Bool)) % 0.35/0.60 (declare-const tptp.stoppedIn (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.35/0.60 (declare-const tptp.trajectory (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.35/0.60 (declare-const tptp.tapOff $$unsorted) % 0.35/0.60 (declare-const tptp.n0 $$unsorted) % 0.35/0.60 (declare-const tptp.n8 $$unsorted) % 0.35/0.60 (declare-const tptp.n1 $$unsorted) % 0.35/0.60 (declare-const tptp.plus (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.60 (declare-const tptp.releasedAt (-> $$unsorted $$unsorted Bool)) % 0.35/0.60 (define @t1 () (@var "Time" $$unsorted)) % 0.35/0.60 (define @t2 () (@var "Fluent" $$unsorted)) % 0.35/0.60 (define @t3 () (@var "Event" $$unsorted)) % 0.35/0.60 (define @t4 () (tptp.terminates @t3 @t2 @t1)) % 0.35/0.60 (define @t5 () (@var "Time2" $$unsorted)) % 0.35/0.60 (define @t6 () (tptp.less @t1 @t5)) % 0.35/0.60 (define @t7 () (@var "Time1" $$unsorted)) % 0.35/0.60 (define @t8 () (tptp.less @t7 @t1)) % 0.35/0.60 (define @t9 () (tptp.happens @t3 @t1)) % 0.35/0.60 (define @t10 () (@list @t3 @t1)) % 0.35/0.60 (define @t11 () (tptp.initiates @t3 @t2 @t1)) % 0.35/0.60 (define @t12 () (@var "Offset" $$unsorted)) % 0.35/0.60 (define @t13 () (tptp.plus @t1 @t12)) % 0.35/0.60 (define @t14 () (@var "Fluent2" $$unsorted)) % 0.35/0.60 (define @t15 () (tptp.plus @t7 @t5)) % 0.35/0.60 (define @t16 () (@var "Fluent1" $$unsorted)) % 0.35/0.60 (define @t17 () (tptp.plus @t1 tptp.n1)) % 0.35/0.60 (define @t18 () (tptp.holdsAt @t2 @t17)) % 0.35/0.60 (define @t19 () (and @t9 @t4)) % 0.35/0.60 (define @t20 () (@list @t3)) % 0.35/0.60 (define @t21 () (tptp.releasedAt @t2 @t17)) % 0.35/0.60 (define @t22 () (not @t21)) % 0.35/0.60 (define @t23 () (tptp.holdsAt @t2 @t1)) % 0.35/0.60 (define @t24 () (@list @t2 @t1)) % 0.35/0.60 (define @t25 () (not @t18)) % 0.35/0.60 (define @t26 () (and @t9 @t11)) % 0.35/0.60 (define @t27 () (and @t9 (or @t11 @t4))) % 0.35/0.60 (define @t28 () (tptp.releasedAt @t2 @t1)) % 0.35/0.60 (define @t29 () (tptp.releases @t3 @t2 @t1)) % 0.35/0.60 (define @t30 () (and @t9 @t29)) % 0.35/0.60 (define @t31 () (@list @t3 @t1 @t2)) % 0.35/0.60 (define @t32 () (@var "Height" $$unsorted)) % 0.35/0.60 (define @t33 () (tptp.waterLevel @t32)) % 0.35/0.60 (define @t34 () (= @t2 @t33)) % 0.35/0.60 (define @t35 () (= @t3 tptp.overflow)) % 0.35/0.60 (define @t36 () (tptp.holdsAt @t33 @t1)) % 0.35/0.60 (define @t37 () (@list @t32)) % 0.35/0.60 (define @t38 () (= @t3 tptp.tapOff)) % 0.35/0.60 (define @t39 () (= @t2 tptp.filling)) % 0.35/0.60 (define @t40 () (= @t3 tptp.tapOn)) % 0.35/0.60 (define @t41 () (@list @t3 @t2 @t1)) % 0.35/0.60 (define @t42 () (tptp.waterLevel tptp.n3)) % 0.35/0.60 (define @t43 () (forall @t10 (= @t9 (or (and @t40 (= @t1 tptp.n0)) (and (tptp.holdsAt @t42 @t1) (tptp.holdsAt tptp.filling @t1) @t35))))) % 0.35/0.60 (define @t44 () (@var "Height2" $$unsorted)) % 0.35/0.60 (define @t45 () (tptp.waterLevel @t44)) % 0.35/0.60 (define @t46 () (@var "Height1" $$unsorted)) % 0.35/0.60 (define @t47 () (tptp.holdsAt (tptp.waterLevel @t46) @t1)) % 0.35/0.60 (define @t48 () (= tptp.overflow tptp.tapOn)) % 0.35/0.60 (define @t49 () (@var "X" $$unsorted)) % 0.35/0.60 (define @t50 () (tptp.waterLevel @t49)) % 0.35/0.60 (define @t51 () (@list @t49)) % 0.35/0.60 (define @t52 () (@var "Y" $$unsorted)) % 0.35/0.60 (define @t53 () (= @t49 @t52)) % 0.35/0.60 (define @t54 () (@list @t49 @t52)) % 0.35/0.60 (define @t55 () (tptp.less @t49 @t52)) % 0.35/0.60 (define @t56 () (tptp.holdsAt @t42 tptp.n3)) % 0.35/0.60 (define @t57 () (tptp.holdsAt tptp.filling tptp.n3)) % 0.35/0.60 (define @t58 () (tptp.happens tptp.overflow tptp.n3)) % 0.35/0.60 (define @t59 () (and @t56 @t57)) % 0.35/0.60 (define @t60 () (and @t56 @t57 (= tptp.overflow tptp.overflow))) % 0.35/0.60 (define @t61 () (and @t48 (= tptp.n3 tptp.n0))) % 0.35/0.60 (define @t62 () (or @t61 @t60)) % 0.35/0.60 (define @t63 () (= @t58 @t62)) % 0.35/0.60 (define @t64 () (or (and (= tptp.tapOn tptp.overflow) (= tptp.n0 tptp.n3)) @t59)) % 0.35/0.60 (define @t65 () (= @t58 @t64)) % 0.35/0.60 (define @t66 () (@list false)) % 0.35/0.60 (assume @p1 (forall (@list @t7 @t2 @t5) (= (tptp.stoppedIn @t7 @t2 @t5) (exists @t10 (and @t9 @t8 @t6 @t4))))) % 0.35/0.60 (assume @p2 (forall (@list @t7 @t5 @t2) (= (tptp.startedIn @t7 @t2 @t5) (exists @t10 (and @t9 @t8 @t6 @t11))))) % 0.35/0.60 (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)))) % 0.35/0.60 (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)))) % 0.35/0.60 (assume @p5 (forall @t24 (=> (and @t23 @t22 (not (exists @t20 @t19))) @t18))) % 0.35/0.60 (assume @p6 (forall @t24 (=> (and (not @t23) @t22 (not (exists @t20 @t26))) @t25))) % 0.35/0.60 (assume @p7 (forall @t24 (=> (and @t28 (not (exists @t20 @t27))) @t21))) % 0.35/0.60 (assume @p8 (forall @t24 (=> (and (not @t28) (not (exists @t20 @t30))) @t22))) % 0.35/0.60 (assume @p9 (forall @t31 (=> @t26 @t18))) % 0.35/0.60 (assume @p10 (forall @t31 (=> @t19 @t25))) % 0.35/0.60 (assume @p11 (forall @t31 (=> @t30 @t21))) % 0.35/0.60 (assume @p12 (forall @t31 (=> @t27 @t22))) % 0.35/0.60 (assume @p13 (forall @t41 (= @t11 (or (and @t40 @t39) (and @t35 (= @t2 tptp.spilling)) (exists @t37 (and @t36 @t38 @t34)) (exists @t37 (and @t36 @t35 @t34)))))) % 0.35/0.60 (assume @p14 (forall @t41 (= @t4 (or (and @t38 @t39) (and @t35 @t39))))) % 0.35/0.60 (assume @p15 (forall @t41 (= @t29 (exists @t37 (and @t40 @t34))))) % 0.35/0.60 (assume @p16 @t43) % 0.35/0.60 (assume @p17 (forall (@list @t46 @t1 @t44 @t12) (=> (and @t47 (= @t44 (tptp.plus @t46 @t12))) (tptp.trajectory tptp.filling @t1 @t45 @t12)))) % 0.35/0.60 (assume @p18 (forall (@list @t1 @t46 @t44) (=> (and @t47 (tptp.holdsAt @t45 @t1)) (= @t46 @t44)))) % 0.35/0.60 (assume @p19 (not (= tptp.tapOff tptp.tapOn))) % 0.35/0.60 (assume @p20 (not (= tptp.tapOff tptp.overflow))) % 0.35/0.60 (assume @p21 (not @t48)) % 0.35/0.60 (assume @p22 (forall @t51 (not (= tptp.filling @t50)))) % 0.35/0.60 (assume @p23 (forall @t51 (not (= tptp.spilling @t50)))) % 0.35/0.60 (assume @p24 (not (= tptp.filling tptp.spilling))) % 0.35/0.60 (assume @p25 (forall @t54 (= (= @t50 (tptp.waterLevel @t52)) @t53))) % 0.35/0.60 (assume @p26 (= (tptp.plus tptp.n0 tptp.n0) tptp.n0)) % 0.35/0.60 (assume @p27 (= (tptp.plus tptp.n0 tptp.n1) tptp.n1)) % 0.35/0.60 (assume @p28 (= (tptp.plus tptp.n0 tptp.n2) tptp.n2)) % 0.35/0.60 (assume @p29 (= (tptp.plus tptp.n0 tptp.n3) tptp.n3)) % 0.35/0.60 (assume @p30 (= (tptp.plus tptp.n1 tptp.n1) tptp.n2)) % 0.35/0.60 (assume @p31 (= (tptp.plus tptp.n1 tptp.n2) tptp.n3)) % 0.35/0.60 (assume @p32 (= (tptp.plus tptp.n1 tptp.n3) tptp.n4)) % 0.35/0.60 (assume @p33 (= (tptp.plus tptp.n2 tptp.n2) tptp.n4)) % 0.35/0.60 (assume @p34 (= (tptp.plus tptp.n2 tptp.n3) tptp.n5)) % 0.35/0.60 (assume @p35 (= (tptp.plus tptp.n3 tptp.n3) tptp.n6)) % 0.35/0.60 (assume @p36 (forall @t54 (= (tptp.plus @t49 @t52) (tptp.plus @t52 @t49)))) % 0.35/0.60 (assume @p37 (forall @t54 (= (tptp.less_or_equal @t49 @t52) (or @t55 @t53)))) % 0.35/0.60 (assume @p38 (not (exists @t51 (tptp.less @t49 tptp.n0)))) % 0.35/0.60 (assume @p39 (forall @t51 (= (tptp.less @t49 tptp.n1) (tptp.less_or_equal @t49 tptp.n0)))) % 0.35/0.60 (assume @p40 (forall @t51 (= (tptp.less @t49 tptp.n2) (tptp.less_or_equal @t49 tptp.n1)))) % 0.35/0.60 (assume @p41 (forall @t51 (= (tptp.less @t49 tptp.n3) (tptp.less_or_equal @t49 tptp.n2)))) % 0.35/0.60 (assume @p42 (forall @t51 (= (tptp.less @t49 tptp.n4) (tptp.less_or_equal @t49 tptp.n3)))) % 0.35/0.60 (assume @p43 (forall @t51 (= (tptp.less @t49 tptp.n5) (tptp.less_or_equal @t49 tptp.n4)))) % 0.35/0.60 (assume @p44 (forall @t51 (= (tptp.less @t49 tptp.n6) (tptp.less_or_equal @t49 tptp.n5)))) % 0.35/0.60 (assume @p45 (forall @t51 (= (tptp.less @t49 tptp.n7) (tptp.less_or_equal @t49 tptp.n6)))) % 0.35/0.60 (assume @p46 (forall @t51 (= (tptp.less @t49 tptp.n8) (tptp.less_or_equal @t49 tptp.n7)))) % 0.35/0.60 (assume @p47 (forall @t51 (= (tptp.less @t49 tptp.n9) (tptp.less_or_equal @t49 tptp.n8)))) % 0.35/0.60 (assume @p48 (forall @t54 (= @t55 (and (not (tptp.less @t52 @t49)) (not (= @t52 @t49)))))) % 0.35/0.60 (assume @p49 (tptp.holdsAt (tptp.waterLevel tptp.n0) tptp.n0)) % 0.35/0.60 (assume @p50 (not (tptp.holdsAt tptp.filling tptp.n0))) % 0.35/0.60 (assume @p51 (not (tptp.holdsAt tptp.spilling tptp.n0))) % 0.35/0.60 (assume @p52 (forall @t37 (not (tptp.releasedAt @t33 tptp.n0)))) % 0.35/0.60 (assume @p53 (not (tptp.releasedAt tptp.filling tptp.n0))) % 0.35/0.60 (assume @p54 (not (tptp.releasedAt tptp.spilling tptp.n0))) % 0.35/0.60 (assume @p55 @t56) % 0.35/0.60 (assume @p56 @t57) % 0.35/0.60 (assume @p57 (not @t58)) % 0.35/0.60 (assume @p58 true) % 0.35/0.60 (step @p59 :rule aci_norm :args ((= (and @t56 @t57 true) @t59))) % 0.35/0.60 (step @p60 :rule eq-refl :args (tptp.overflow)) % 0.35/0.60 (step @p61 :rule refl :args (@t57)) % 0.35/0.60 (step @p62 :rule refl :args (@t56)) % 0.35/0.60 (step @p63 :rule nary_cong :premises (@p62 @p61 @p60) :args (@t60)) % 0.35/0.60 (step @p64 :rule trans :premises (@p63 @p59)) % 0.35/0.60 (step @p65 :rule eq-symm :args (tptp.n3 tptp.n0)) % 0.35/0.60 (step @p66 :rule eq-symm :args (tptp.overflow tptp.tapOn)) % 0.35/0.60 (step @p67 :rule nary_cong :premises (@p66 @p65) :args (@t61)) % 0.35/0.60 (step @p68 :rule nary_cong :premises (@p67 @p64) :args (@t62)) % 0.35/0.60 (step @p69 :rule refl :args (@t58)) % 0.35/0.60 (step @p70 :rule cong :premises (@p69 @p68) :args (@t63)) % 0.35/0.60 (step @p71 :rule refl :args (@t43)) % 0.35/0.60 (step @p72 :rule cong :premises (@p71 @p70) :args ((=> @t43 @t63))) % 0.35/0.60 (assume-push @p88 @t43) % 0.35/0.60 (step @p74 :rule instantiate :premises (@p16) :args ((@list tptp.overflow tptp.n3))) % 0.35/0.60 (step-pop @p89 :rule scope :premises (@p74)) % 0.35/0.60 (step @p75 :rule process_scope :premises (@p89) :args (@t63)) % 0.35/0.60 (step @p77 :rule eq_resolve :premises (@p75 @p72)) % 0.35/0.60 (step @p78 :rule implies_elim :premises (@p77)) % 0.35/0.60 (step @p79 :rule chain_m_resolution :premises (@p78 @p16) :args (@t65 @t66 (@list @t43))) % 0.35/0.60 (step @p80 :rule cnf_and_neg :args (@t59)) % 0.35/0.60 (step @p81 :rule reordering :premises (@p80) :args ((or (not @t56) (not @t57) @t59))) % 0.35/0.60 (step @p82 :rule chain_m_resolution :premises (@p81 @p55 @p56) :args (@t59 (@list false false) (@list @t56 @t57))) % 0.35/0.60 (step @p83 :rule cnf_or_neg :args (@t64 1)) % 0.35/0.60 (step @p84 :rule chain_m_resolution :premises (@p83 @p82) :args (@t64 @t66 (@list @t59))) % 0.35/0.60 (step @p85 :rule cnf_equiv_pos2 :args (@t65)) % 0.35/0.60 (step @p86 :rule reordering :premises (@p85) :args ((or @t58 (not @t64) (not @t65)))) % 0.35/0.60 (step @p87 false :rule chain_m_resolution :premises (@p86 @p84 @p79 @p57) :args (false (@list false false true) (@list @t64 @t65 @t58))) % 0.35/0.60 ) % 0.35/0.60 % SZS output end Proof % 0.35/0.60 % cvc5 exiting %------------------------------------------------------------------------------