%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : COM018+1 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n009.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 08:10:25 AM UTC 2026 % Result : Theorem 16.23s 16.55s % Output : Proof 16.23s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : COM018+1 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n009.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 20:28:14 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.49 %----Proving TF0_NAR, FOF, or CNF % 16.23/16.55 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 16.23/16.55 --- Run --no-e-matching --full-saturate-quant at 6... % 16.23/16.55 % SZS status Theorem % 16.23/16.55 % SZS output start Proof % 16.23/16.55 ( % 16.23/16.55 (declare-sort $$unsorted 0) % 16.23/16.55 (declare-const tptp.xv $$unsorted) % 16.23/16.55 (declare-const tptp.xu $$unsorted) % 16.23/16.55 (declare-const tptp.xa $$unsorted) % 16.23/16.55 (declare-const tptp.xb $$unsorted) % 16.23/16.55 (declare-const tptp.aElement0 (-> $$unsorted Bool)) % 16.23/16.55 (declare-const tptp.aRewritingSystem0 (-> $$unsorted Bool)) % 16.23/16.55 (declare-const tptp.sdtmndtplgtdt0 (-> $$unsorted $$unsorted $$unsorted Bool)) % 16.23/16.55 (declare-const tptp.sdtmndtasgtdt0 (-> $$unsorted $$unsorted $$unsorted Bool)) % 16.23/16.55 (declare-const tptp.xw $$unsorted) % 16.23/16.55 (declare-const tptp.xc $$unsorted) % 16.23/16.55 (declare-const tptp.aReductOfIn0 (-> $$unsorted $$unsorted $$unsorted Bool)) % 16.23/16.55 (declare-const tptp.isLocallyConfluent0 (-> $$unsorted Bool)) % 16.23/16.55 (declare-const tptp.iLess0 (-> $$unsorted $$unsorted Bool)) % 16.23/16.55 (declare-const tptp.isConfluent0 (-> $$unsorted Bool)) % 16.23/16.55 (declare-const tptp.xR $$unsorted) % 16.23/16.55 (declare-const tptp.isTerminating0 (-> $$unsorted Bool)) % 16.23/16.55 (declare-const tptp.aNormalFormOfIn0 (-> $$unsorted $$unsorted $$unsorted Bool)) % 16.23/16.55 (define @t1 () (@var "W0" $$unsorted)) % 16.23/16.55 (define @t2 () (tptp.aElement0 @t1)) % 16.23/16.55 (define @t3 () (@list @t1)) % 16.23/16.55 (define @t4 () (tptp.aRewritingSystem0 @t1)) % 16.23/16.55 (define @t5 () (@var "W2" $$unsorted)) % 16.23/16.55 (define @t6 () (tptp.aElement0 @t5)) % 16.23/16.55 (define @t7 () (@var "W1" $$unsorted)) % 16.23/16.55 (define @t8 () (tptp.aReductOfIn0 @t5 @t1 @t7)) % 16.23/16.55 (define @t9 () (@list @t5)) % 16.23/16.55 (define @t10 () (tptp.aRewritingSystem0 @t7)) % 16.23/16.55 (define @t11 () (and @t2 @t10)) % 16.23/16.55 (define @t12 () (@list @t1 @t7)) % 16.23/16.55 (define @t13 () (tptp.aElement0 @t7)) % 16.23/16.55 (define @t14 () (tptp.sdtmndtplgtdt0 @t1 @t7 @t5)) % 16.23/16.55 (define @t15 () (and @t2 @t10 @t6)) % 16.23/16.55 (define @t16 () (@list @t1 @t7 @t5)) % 16.23/16.55 (define @t17 () (@var "W3" $$unsorted)) % 16.23/16.55 (define @t18 () (tptp.aElement0 @t17)) % 16.23/16.55 (define @t19 () (@list @t17)) % 16.23/16.55 (define @t20 () (and @t2 @t10 @t6 @t18)) % 16.23/16.55 (define @t21 () (@list @t1 @t7 @t5 @t17)) % 16.23/16.55 (define @t22 () (tptp.sdtmndtasgtdt0 @t1 @t7 @t5)) % 16.23/16.55 (define @t23 () (@var "W4" $$unsorted)) % 16.23/16.55 (define @t24 () (exists (@list @t23) (and (tptp.aElement0 @t23) (tptp.sdtmndtasgtdt0 @t5 @t1 @t23) (tptp.sdtmndtasgtdt0 @t17 @t1 @t23)))) % 16.23/16.55 (define @t25 () (@list @t7 @t5 @t17)) % 16.23/16.55 (define @t26 () (tptp.isTerminating0 @t1)) % 16.23/16.55 (define @t27 () (tptp.aNormalFormOfIn0 @t5 @t7 @t1)) % 16.23/16.55 (define @t28 () (exists @t9 @t27)) % 16.23/16.55 (define @t29 () (=> @t13 @t28)) % 16.23/16.55 (define @t30 () (@list @t7)) % 16.23/16.55 (define @t31 () (forall @t30 @t29)) % 16.23/16.55 (define @t32 () (and @t4 @t26)) % 16.23/16.55 (define @t33 () (=> @t32 @t31)) % 16.23/16.55 (define @t34 () (forall @t3 @t33)) % 16.23/16.55 (define @t35 () (tptp.aRewritingSystem0 tptp.xR)) % 16.23/16.55 (define @t36 () (tptp.isTerminating0 tptp.xR)) % 16.23/16.55 (define @t37 () (tptp.aElement0 tptp.xw)) % 16.23/16.55 (define @t38 () (tptp.aNormalFormOfIn0 @t1 tptp.xw tptp.xR)) % 16.23/16.55 (define @t39 () (exists @t3 @t38)) % 16.23/16.55 (define @t40 () (not @t39)) % 16.23/16.55 (define @t41 () (forall @t3 (not @t38))) % 16.23/16.55 (define @t42 () (forall @t9 (not (tptp.aNormalFormOfIn0 @t5 tptp.xw tptp.xR)))) % 16.23/16.55 (define @t43 () (@var "BOUND_VARIABLE_7743" $$unsorted)) % 16.23/16.55 (define @t44 () (not (forall @t9 (not (tptp.aNormalFormOfIn0 @t5 @t43 @t1))))) % 16.23/16.55 (define @t45 () (not (tptp.aElement0 @t43))) % 16.23/16.55 (define @t46 () (not @t26)) % 16.23/16.55 (define @t47 () (not @t4)) % 16.23/16.55 (define @t48 () (or @t45 @t44)) % 16.23/16.55 (define @t49 () (or @t47 @t46 @t48)) % 16.23/16.55 (define @t50 () (forall (@list @t1 @t43) @t49)) % 16.23/16.55 (define @t51 () (@list @t43)) % 16.23/16.55 (define @t52 () (forall @t51 @t49)) % 16.23/16.55 (define @t53 () (forall @t51 @t48)) % 16.23/16.55 (define @t54 () (or @t47 @t46 @t53)) % 16.23/16.55 (define @t55 () (not (forall @t9 (not @t27)))) % 16.23/16.55 (define @t56 () (forall @t30 (or (not @t13) @t55))) % 16.23/16.55 (define @t57 () (or @t47 @t46 @t56)) % 16.23/16.55 (define @t58 () (not @t42)) % 16.23/16.55 (define @t59 () (not @t37)) % 16.23/16.55 (define @t60 () (not @t36)) % 16.23/16.55 (define @t61 () (not @t35)) % 16.23/16.55 (define @t62 () (or @t61 @t60 @t59 @t58)) % 16.23/16.55 (assume @p1 (forall @t3 (=> @t2 true))) % 16.23/16.55 (assume @p2 (forall @t3 (=> @t4 true))) % 16.23/16.55 (assume @p3 (forall @t12 (=> @t11 (forall @t9 (=> @t8 @t6))))) % 16.23/16.55 (assume @p4 (forall @t12 (=> (and @t2 @t13) (=> (tptp.iLess0 @t1 @t7) true)))) % 16.23/16.55 (assume @p5 (forall @t16 (=> @t15 (=> @t14 true)))) % 16.23/16.55 (assume @p6 (forall @t16 (=> @t15 (= @t14 (or @t8 (exists @t19 (and @t18 (tptp.aReductOfIn0 @t17 @t1 @t7) (tptp.sdtmndtplgtdt0 @t17 @t7 @t5)))))))) % 16.23/16.55 (assume @p7 (forall @t21 (=> @t20 (=> (and @t14 (tptp.sdtmndtplgtdt0 @t5 @t7 @t17)) (tptp.sdtmndtplgtdt0 @t1 @t7 @t17))))) % 16.23/16.55 (assume @p8 (forall @t16 (=> @t15 (= @t22 (or (= @t1 @t5) @t14))))) % 16.23/16.55 (assume @p9 (forall @t21 (=> @t20 (=> (and @t22 (tptp.sdtmndtasgtdt0 @t5 @t7 @t17)) (tptp.sdtmndtasgtdt0 @t1 @t7 @t17))))) % 16.23/16.55 (assume @p10 (forall @t3 (=> @t4 (= (tptp.isConfluent0 @t1) (forall @t25 (=> (and @t13 @t6 @t18 (tptp.sdtmndtasgtdt0 @t7 @t1 @t5) (tptp.sdtmndtasgtdt0 @t7 @t1 @t17)) @t24)))))) % 16.23/16.55 (assume @p11 (forall @t3 (=> @t4 (= (tptp.isLocallyConfluent0 @t1) (forall @t25 (=> (and @t13 @t6 @t18 (tptp.aReductOfIn0 @t5 @t7 @t1) (tptp.aReductOfIn0 @t17 @t7 @t1)) @t24)))))) % 16.23/16.55 (assume @p12 (forall @t3 (=> @t4 (= @t26 (forall (@list @t7 @t5) (=> (and @t13 @t6) (=> (tptp.sdtmndtplgtdt0 @t7 @t1 @t5) (tptp.iLess0 @t5 @t7)))))))) % 16.23/16.55 (assume @p13 (forall @t12 (=> @t11 (forall @t9 (= (tptp.aNormalFormOfIn0 @t5 @t1 @t7) (and @t6 @t22 (not (exists @t19 (tptp.aReductOfIn0 @t17 @t5 @t7))))))))) % 16.23/16.55 (assume @p14 @t34) % 16.23/16.55 (assume @p15 @t35) % 16.23/16.55 (assume @p16 (and (tptp.isLocallyConfluent0 tptp.xR) @t36)) % 16.23/16.55 (assume @p17 (and (tptp.aElement0 tptp.xa) (tptp.aElement0 tptp.xb) (tptp.aElement0 tptp.xc))) % 16.23/16.55 (assume @p18 (forall @t16 (=> (and @t2 @t13 @t6 (tptp.sdtmndtasgtdt0 @t1 tptp.xR @t7) (tptp.sdtmndtasgtdt0 @t1 tptp.xR @t5)) (=> (tptp.iLess0 @t1 tptp.xa) (exists @t19 (and @t18 (tptp.sdtmndtasgtdt0 @t7 tptp.xR @t17) (tptp.sdtmndtasgtdt0 @t5 tptp.xR @t17))))))) % 16.23/16.55 (assume @p19 (and (tptp.sdtmndtplgtdt0 tptp.xa tptp.xR tptp.xb) (tptp.sdtmndtplgtdt0 tptp.xa tptp.xR tptp.xc))) % 16.23/16.55 (assume @p20 (and (tptp.aElement0 tptp.xu) (tptp.aReductOfIn0 tptp.xu tptp.xa tptp.xR) (tptp.sdtmndtasgtdt0 tptp.xu tptp.xR tptp.xb))) % 16.23/16.55 (assume @p21 (and (tptp.aElement0 tptp.xv) (tptp.aReductOfIn0 tptp.xv tptp.xa tptp.xR) (tptp.sdtmndtasgtdt0 tptp.xv tptp.xR tptp.xc))) % 16.23/16.55 (assume @p22 (and @t37 (tptp.sdtmndtasgtdt0 tptp.xu tptp.xR tptp.xw) (tptp.sdtmndtasgtdt0 tptp.xv tptp.xR tptp.xw))) % 16.23/16.55 (assume @p23 @t40) % 16.23/16.55 (assume @p24 true) % 16.23/16.55 (step @p25 :rule and_elim :premises (@p16) :args (1)) % 16.23/16.55 (step @p26 :rule and_elim :premises (@p22) :args (0)) % 16.23/16.55 (step @p27 :rule bool-double-not-elim :args (@t41)) % 16.23/16.55 (step @p28 :rule exists-elim :args ((= @t39 (not @t41)))) % 16.23/16.55 (step @p29 :rule cong :premises (@p28) :args (@t40)) % 16.23/16.55 (step @p30 :rule trans :premises (@p29 @p27)) % 16.23/16.55 (step @p31 :rule eq_resolve :premises (@p23 @p30)) % 16.23/16.55 (step @p32 :rule alpha_equiv :args (@t41 (@list @t1) (@list @t5))) % 16.23/16.55 (step @p33 :rule equiv_elim1 :premises (@p32)) % 16.23/16.55 (step @p34 :rule chain_m_resolution :premises (@p33 @p31) :args (@t42 (@list false) (@list @t41))) % 16.23/16.55 (step @p35 :rule aci_norm :args ((= @t49 (or @t47 @t46 @t45 @t44)))) % 16.23/16.55 (step @p36 :rule cong :premises (@p35) :args (@t50)) % 16.23/16.55 (step @p37 :rule quant-merge-prenex :args ((= (forall @t3 @t52) @t50))) % 16.23/16.55 (step @p38 :rule alpha_equiv :args (@t53 (@list @t43) (@list @t7))) % 16.23/16.55 (step @p39 :rule refl :args (@t46)) % 16.23/16.55 (step @p40 :rule refl :args (@t47)) % 16.23/16.55 (step @p41 :rule nary_cong :premises (@p40 @p39 @p38) :args (@t54)) % 16.23/16.55 (step @p42 :rule quant-miniscope-or :args ((= @t52 @t54))) % 16.23/16.55 (step @p43 :rule trans :premises (@p42 @p41)) % 16.23/16.55 (step @p44 :rule symm :premises (@p43)) % 16.23/16.55 (step @p45 :rule cong :premises (@p44) :args ((forall @t3 @t57))) % 16.23/16.55 (step @p46 :rule trans :premises (@p45 @p37)) % 16.23/16.55 (step @p47 :rule trans :premises (@p46 @p36)) % 16.23/16.55 (step @p48 :rule aci_norm :args ((= (or (or @t47 @t46) @t56) @t57))) % 16.23/16.55 (step @p49 :rule refl :args (@t56)) % 16.23/16.55 (step @p50 :rule bool-and-de-morgan :args (@t4 @t26 true)) % 16.23/16.55 (step @p51 :rule nary_cong :premises (@p50 @p49) :args ((or (not @t32) @t56))) % 16.23/16.55 (step @p52 :rule trans :premises (@p51 @p48)) % 16.23/16.55 (step @p53 :rule bool-impl-elim :args (@t32 @t56)) % 16.23/16.55 (step @p54 :rule trans :premises (@p53 @p52)) % 16.23/16.55 (step @p55 :rule cong :premises (@p54) :args ((forall @t3 (=> @t32 @t56)))) % 16.23/16.55 (step @p56 :rule trans :premises (@p55 @p47)) % 16.23/16.55 (step @p57 :rule bool-impl-elim :args (@t13 @t55)) % 16.23/16.55 (step @p58 :rule cong :premises (@p57) :args ((forall @t30 (=> @t13 @t55)))) % 16.23/16.55 (step @p59 :rule exists-elim :args ((= @t28 @t55))) % 16.23/16.55 (step @p60 :rule refl :args (@t13)) % 16.23/16.55 (step @p61 :rule cong :premises (@p60 @p59) :args (@t29)) % 16.23/16.55 (step @p62 :rule cong :premises (@p61) :args (@t31)) % 16.23/16.55 (step @p63 :rule trans :premises (@p62 @p58)) % 16.23/16.55 (step @p64 :rule refl :args (@t32)) % 16.23/16.55 (step @p65 :rule cong :premises (@p64 @p63) :args (@t33)) % 16.23/16.55 (step @p66 :rule cong :premises (@p65) :args (@t34)) % 16.23/16.55 (step @p67 :rule trans :premises (@p66 @p56)) % 16.23/16.55 (step @p68 :rule eq_resolve :premises (@p14 @p67)) % 16.23/16.55 (step @p69 :rule instantiate :premises (@p68) :args ((@list tptp.xR tptp.xw))) % 16.23/16.55 (step @p70 :rule cnf_or_pos :args (@t62)) % 16.23/16.55 (step @p71 :rule reordering :premises (@p70) :args ((or @t61 @t60 @t59 @t58 (not @t62)))) % 16.23/16.55 (step @p72 false :rule chain_m_resolution :premises (@p71 @p69 @p34 @p26 @p25 @p15) :args (false (@list false false false false false) (@list @t62 @t42 @t37 @t36 @t35))) % 16.23/16.55 ) % 16.23/16.55 % SZS output end Proof % 16.23/16.55 % cvc5 exiting %------------------------------------------------------------------------------