%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : COM017+1 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n029.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 9.43s 9.61s % Output : Proof 9.43s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : COM017+1 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n029.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 20:28:32 EDT 2026 % 0.16/0.34 % CPUTime : % 0.31/0.49 %----Proving TF0_NAR, FOF, or CNF % 9.43/9.61 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 9.43/9.61 % SZS status Theorem % 9.43/9.61 % SZS output start Proof % 9.43/9.61 ( % 9.43/9.61 (declare-sort $$unsorted 0) % 9.43/9.61 (declare-const tptp.xv $$unsorted) % 9.43/9.61 (declare-const tptp.xu $$unsorted) % 9.43/9.61 (declare-const tptp.xa $$unsorted) % 9.43/9.61 (declare-const tptp.xb $$unsorted) % 9.43/9.61 (declare-const tptp.aElement0 (-> $$unsorted Bool)) % 9.43/9.61 (declare-const tptp.aRewritingSystem0 (-> $$unsorted Bool)) % 9.43/9.61 (declare-const tptp.sdtmndtplgtdt0 (-> $$unsorted $$unsorted $$unsorted Bool)) % 9.43/9.61 (declare-const tptp.sdtmndtasgtdt0 (-> $$unsorted $$unsorted $$unsorted Bool)) % 9.43/9.61 (declare-const tptp.xc $$unsorted) % 9.43/9.61 (declare-const tptp.aReductOfIn0 (-> $$unsorted $$unsorted $$unsorted Bool)) % 9.43/9.61 (declare-const tptp.isLocallyConfluent0 (-> $$unsorted Bool)) % 9.43/9.61 (declare-const tptp.iLess0 (-> $$unsorted $$unsorted Bool)) % 9.43/9.61 (declare-const tptp.isConfluent0 (-> $$unsorted Bool)) % 9.43/9.61 (declare-const tptp.xR $$unsorted) % 9.43/9.61 (declare-const tptp.isTerminating0 (-> $$unsorted Bool)) % 9.43/9.61 (declare-const tptp.aNormalFormOfIn0 (-> $$unsorted $$unsorted $$unsorted Bool)) % 9.43/9.61 (define @t1 () (@var "W0" $$unsorted)) % 9.43/9.61 (define @t2 () (tptp.aElement0 @t1)) % 9.43/9.61 (define @t3 () (@list @t1)) % 9.43/9.61 (define @t4 () (tptp.aRewritingSystem0 @t1)) % 9.43/9.61 (define @t5 () (@var "W2" $$unsorted)) % 9.43/9.61 (define @t6 () (tptp.aElement0 @t5)) % 9.43/9.61 (define @t7 () (@var "W1" $$unsorted)) % 9.43/9.61 (define @t8 () (tptp.aReductOfIn0 @t5 @t1 @t7)) % 9.43/9.61 (define @t9 () (@list @t5)) % 9.43/9.61 (define @t10 () (tptp.aRewritingSystem0 @t7)) % 9.43/9.61 (define @t11 () (and @t2 @t10)) % 9.43/9.61 (define @t12 () (@list @t1 @t7)) % 9.43/9.61 (define @t13 () (tptp.aElement0 @t7)) % 9.43/9.61 (define @t14 () (tptp.sdtmndtplgtdt0 @t1 @t7 @t5)) % 9.43/9.61 (define @t15 () (and @t2 @t10 @t6)) % 9.43/9.61 (define @t16 () (@list @t1 @t7 @t5)) % 9.43/9.61 (define @t17 () (@var "W3" $$unsorted)) % 9.43/9.61 (define @t18 () (tptp.aElement0 @t17)) % 9.43/9.61 (define @t19 () (@list @t17)) % 9.43/9.61 (define @t20 () (and @t2 @t10 @t6 @t18)) % 9.43/9.61 (define @t21 () (@list @t1 @t7 @t5 @t17)) % 9.43/9.61 (define @t22 () (tptp.sdtmndtasgtdt0 @t1 @t7 @t5)) % 9.43/9.61 (define @t23 () (@var "W4" $$unsorted)) % 9.43/9.61 (define @t24 () (tptp.sdtmndtasgtdt0 @t17 @t1 @t23)) % 9.43/9.61 (define @t25 () (tptp.sdtmndtasgtdt0 @t5 @t1 @t23)) % 9.43/9.61 (define @t26 () (tptp.aElement0 @t23)) % 9.43/9.61 (define @t27 () (and @t26 @t25 @t24)) % 9.43/9.61 (define @t28 () (@list @t23)) % 9.43/9.61 (define @t29 () (exists @t28 @t27)) % 9.43/9.61 (define @t30 () (@list @t7 @t5 @t17)) % 9.43/9.61 (define @t31 () (tptp.aReductOfIn0 @t17 @t7 @t1)) % 9.43/9.61 (define @t32 () (tptp.aReductOfIn0 @t5 @t7 @t1)) % 9.43/9.61 (define @t33 () (and @t13 @t6 @t18 @t32 @t31)) % 9.43/9.61 (define @t34 () (=> @t33 @t29)) % 9.43/9.61 (define @t35 () (forall @t30 @t34)) % 9.43/9.61 (define @t36 () (tptp.isLocallyConfluent0 @t1)) % 9.43/9.61 (define @t37 () (= @t36 @t35)) % 9.43/9.61 (define @t38 () (=> @t4 @t37)) % 9.43/9.61 (define @t39 () (forall @t3 @t38)) % 9.43/9.61 (define @t40 () (tptp.isTerminating0 @t1)) % 9.43/9.61 (define @t41 () (tptp.aRewritingSystem0 tptp.xR)) % 9.43/9.61 (define @t42 () (tptp.isLocallyConfluent0 tptp.xR)) % 9.43/9.61 (define @t43 () (tptp.aElement0 tptp.xa)) % 9.43/9.61 (define @t44 () (tptp.aReductOfIn0 tptp.xu tptp.xa tptp.xR)) % 9.43/9.61 (define @t45 () (tptp.aElement0 tptp.xu)) % 9.43/9.61 (define @t46 () (tptp.aReductOfIn0 tptp.xv tptp.xa tptp.xR)) % 9.43/9.61 (define @t47 () (tptp.aElement0 tptp.xv)) % 9.43/9.61 (define @t48 () (tptp.sdtmndtasgtdt0 tptp.xv tptp.xR @t1)) % 9.43/9.61 (define @t49 () (tptp.sdtmndtasgtdt0 tptp.xu tptp.xR @t1)) % 9.43/9.61 (define @t50 () (and @t2 @t49 @t48)) % 9.43/9.61 (define @t51 () (exists @t3 @t50)) % 9.43/9.61 (define @t52 () (not @t51)) % 9.43/9.61 (define @t53 () (not @t48)) % 9.43/9.61 (define @t54 () (not @t49)) % 9.43/9.61 (define @t55 () (not @t2)) % 9.43/9.61 (define @t56 () (or @t55 @t54 @t53)) % 9.43/9.61 (define @t57 () (forall @t3 @t56)) % 9.43/9.61 (define @t58 () (forall @t3 (not @t50))) % 9.43/9.61 (define @t59 () (not @t58)) % 9.43/9.61 (define @t60 () (not @t26)) % 9.43/9.61 (define @t61 () (forall @t28 (or @t60 (not (tptp.sdtmndtasgtdt0 tptp.xu tptp.xR @t23)) (not (tptp.sdtmndtasgtdt0 tptp.xv tptp.xR @t23))))) % 9.43/9.61 (define @t62 () (not @t24)) % 9.43/9.61 (define @t63 () (not @t25)) % 9.43/9.61 (define @t64 () (or @t60 @t63 @t62)) % 9.43/9.61 (define @t65 () (not (forall @t28 @t64))) % 9.43/9.61 (define @t66 () (not @t31)) % 9.43/9.61 (define @t67 () (not @t32)) % 9.43/9.61 (define @t68 () (not @t18)) % 9.43/9.61 (define @t69 () (not @t6)) % 9.43/9.61 (define @t70 () (not @t13)) % 9.43/9.61 (define @t71 () (or @t70 @t69 @t68 @t67 @t66 @t65)) % 9.43/9.61 (define @t72 () (= @t36 (forall @t30 @t71))) % 9.43/9.61 (define @t73 () (or @t70 @t69 @t68 @t67 @t66)) % 9.43/9.61 (define @t74 () (forall @t28 (not @t27))) % 9.43/9.61 (define @t75 () (not @t74)) % 9.43/9.61 (define @t76 () (forall @t30 (or @t70 @t69 @t68 (not (tptp.aReductOfIn0 @t5 @t7 tptp.xR)) (not (tptp.aReductOfIn0 @t17 @t7 tptp.xR)) (not (forall @t28 (or @t60 (not (tptp.sdtmndtasgtdt0 @t5 tptp.xR @t23)) (not (tptp.sdtmndtasgtdt0 @t17 tptp.xR @t23)))))))) % 9.43/9.61 (define @t77 () (= @t42 @t76)) % 9.43/9.61 (define @t78 () (not @t41)) % 9.43/9.61 (define @t79 () (or @t78 @t77)) % 9.43/9.61 (define @t80 () (@list false false)) % 9.43/9.61 (define @t81 () (not @t61)) % 9.43/9.61 (define @t82 () (not @t46)) % 9.43/9.61 (define @t83 () (not @t44)) % 9.43/9.61 (define @t84 () (not @t47)) % 9.43/9.61 (define @t85 () (not @t45)) % 9.43/9.61 (define @t86 () (not @t43)) % 9.43/9.61 (define @t87 () (or @t86 @t85 @t84 @t83 @t82 @t81)) % 9.43/9.61 (assume @p1 (forall @t3 (=> @t2 true))) % 9.43/9.61 (assume @p2 (forall @t3 (=> @t4 true))) % 9.43/9.61 (assume @p3 (forall @t12 (=> @t11 (forall @t9 (=> @t8 @t6))))) % 9.43/9.61 (assume @p4 (forall @t12 (=> (and @t2 @t13) (=> (tptp.iLess0 @t1 @t7) true)))) % 9.43/9.61 (assume @p5 (forall @t16 (=> @t15 (=> @t14 true)))) % 9.43/9.61 (assume @p6 (forall @t16 (=> @t15 (= @t14 (or @t8 (exists @t19 (and @t18 (tptp.aReductOfIn0 @t17 @t1 @t7) (tptp.sdtmndtplgtdt0 @t17 @t7 @t5)))))))) % 9.43/9.61 (assume @p7 (forall @t21 (=> @t20 (=> (and @t14 (tptp.sdtmndtplgtdt0 @t5 @t7 @t17)) (tptp.sdtmndtplgtdt0 @t1 @t7 @t17))))) % 9.43/9.61 (assume @p8 (forall @t16 (=> @t15 (= @t22 (or (= @t1 @t5) @t14))))) % 9.43/9.61 (assume @p9 (forall @t21 (=> @t20 (=> (and @t22 (tptp.sdtmndtasgtdt0 @t5 @t7 @t17)) (tptp.sdtmndtasgtdt0 @t1 @t7 @t17))))) % 9.43/9.61 (assume @p10 (forall @t3 (=> @t4 (= (tptp.isConfluent0 @t1) (forall @t30 (=> (and @t13 @t6 @t18 (tptp.sdtmndtasgtdt0 @t7 @t1 @t5) (tptp.sdtmndtasgtdt0 @t7 @t1 @t17)) @t29)))))) % 9.43/9.61 (assume @p11 @t39) % 9.43/9.61 (assume @p12 (forall @t3 (=> @t4 (= @t40 (forall (@list @t7 @t5) (=> (and @t13 @t6) (=> (tptp.sdtmndtplgtdt0 @t7 @t1 @t5) (tptp.iLess0 @t5 @t7)))))))) % 9.43/9.61 (assume @p13 (forall @t12 (=> @t11 (forall @t9 (= (tptp.aNormalFormOfIn0 @t5 @t1 @t7) (and @t6 @t22 (not (exists @t19 (tptp.aReductOfIn0 @t17 @t5 @t7))))))))) % 9.43/9.61 (assume @p14 (forall @t3 (=> (and @t4 @t40) (forall (@list @t7) (=> @t13 (exists @t9 (tptp.aNormalFormOfIn0 @t5 @t7 @t1))))))) % 9.43/9.61 (assume @p15 @t41) % 9.43/9.61 (assume @p16 (and @t42 (tptp.isTerminating0 tptp.xR))) % 9.43/9.61 (assume @p17 (and @t43 (tptp.aElement0 tptp.xb) (tptp.aElement0 tptp.xc))) % 9.43/9.61 (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))))))) % 9.43/9.61 (assume @p19 (and (tptp.sdtmndtplgtdt0 tptp.xa tptp.xR tptp.xb) (tptp.sdtmndtplgtdt0 tptp.xa tptp.xR tptp.xc))) % 9.43/9.61 (assume @p20 (and @t45 @t44 (tptp.sdtmndtasgtdt0 tptp.xu tptp.xR tptp.xb))) % 9.43/9.61 (assume @p21 (and @t47 @t46 (tptp.sdtmndtasgtdt0 tptp.xv tptp.xR tptp.xc))) % 9.43/9.61 (assume @p22 @t52) % 9.43/9.61 (assume @p23 true) % 9.43/9.61 (step @p24 :rule and_elim :premises (@p17) :args (0)) % 9.43/9.61 (step @p25 :rule and_elim :premises (@p20) :args (0)) % 9.43/9.61 (step @p26 :rule and_elim :premises (@p20) :args (1)) % 9.43/9.61 (step @p27 :rule and_elim :premises (@p21) :args (0)) % 9.43/9.61 (step @p28 :rule and_elim :premises (@p21) :args (1)) % 9.43/9.61 (step @p29 :rule bool-double-not-elim :args (@t57)) % 9.43/9.61 (step @p30 :rule aci_norm :args ((= (or @t55 (or @t54 @t53)) @t56))) % 9.43/9.61 (step @p31 :rule bool-and-de-morgan :args (@t49 @t48 true)) % 9.43/9.61 (step @p32 :rule refl :args (@t55)) % 9.43/9.61 (step @p33 :rule nary_cong :premises (@p32 @p31) :args ((or @t55 (not (and @t49 @t48))))) % 9.43/9.61 (step @p34 :rule bool-and-de-morgan :args (@t2 @t49 (and @t48))) % 9.43/9.61 (step @p35 :rule trans :premises (@p34 @p33)) % 9.43/9.61 (step @p36 :rule trans :premises (@p35 @p30)) % 9.43/9.61 (step @p37 :rule cong :premises (@p36) :args (@t58)) % 9.43/9.61 (step @p38 :rule cong :premises (@p37) :args (@t59)) % 9.43/9.61 (step @p39 :rule exists-elim :args ((= @t51 @t59))) % 9.43/9.61 (step @p40 :rule trans :premises (@p39 @p38)) % 9.43/9.61 (step @p41 :rule cong :premises (@p40) :args (@t52)) % 9.43/9.61 (step @p42 :rule trans :premises (@p41 @p29)) % 9.43/9.61 (step @p43 :rule eq_resolve :premises (@p22 @p42)) % 9.43/9.61 (step @p44 :rule alpha_equiv :args (@t57 (@list @t1) (@list @t23))) % 9.43/9.61 (step @p45 :rule equiv_elim1 :premises (@p44)) % 9.43/9.61 (step @p46 :rule chain_m_resolution :premises (@p45 @p43) :args (@t61 (@list false) (@list @t57))) % 9.43/9.61 (step @p47 :rule bool-impl-elim :args (@t4 @t72)) % 9.43/9.61 (step @p48 :rule cong :premises (@p47) :args ((forall @t3 (=> @t4 @t72)))) % 9.43/9.66 (step @p49 :rule aci_norm :args ((= (or @t73 @t65) @t71))) % 9.43/9.66 (step @p50 :rule refl :args (@t65)) % 9.43/9.66 (step @p51 :rule aci_norm :args ((= (or @t70 (or @t69 (or @t68 (or @t67 @t66)))) @t73))) % 9.43/9.66 (step @p52 :rule bool-and-de-morgan :args (@t32 @t31 true)) % 9.43/9.66 (step @p53 :rule refl :args (@t68)) % 9.43/9.66 (step @p54 :rule nary_cong :premises (@p53 @p52) :args ((or @t68 (not (and @t32 @t31))))) % 9.43/9.66 (step @p55 :rule bool-and-de-morgan :args (@t18 @t32 (and @t31))) % 9.43/9.66 (step @p56 :rule trans :premises (@p55 @p54)) % 9.43/9.66 (step @p57 :rule refl :args (@t69)) % 9.43/9.66 (step @p58 :rule nary_cong :premises (@p57 @p56) :args ((or @t69 (not (and @t18 @t32 @t31))))) % 9.43/9.66 (step @p59 :rule bool-and-de-morgan :args (@t6 @t18 (and @t32 @t31))) % 9.43/9.66 (step @p60 :rule trans :premises (@p59 @p58)) % 9.43/9.66 (step @p61 :rule refl :args (@t70)) % 9.43/9.66 (step @p62 :rule nary_cong :premises (@p61 @p60) :args ((or @t70 (not (and @t6 @t18 @t32 @t31))))) % 9.43/9.66 (step @p63 :rule bool-and-de-morgan :args (@t13 @t6 (and @t18 @t32 @t31))) % 9.43/9.66 (step @p64 :rule trans :premises (@p63 @p62)) % 9.43/9.66 (step @p65 :rule trans :premises (@p64 @p51)) % 9.43/9.66 (step @p66 :rule nary_cong :premises (@p65 @p50) :args ((or (not @t33) @t65))) % 9.43/9.66 (step @p67 :rule trans :premises (@p66 @p49)) % 9.43/9.66 (step @p68 :rule bool-impl-elim :args (@t33 @t65)) % 9.43/9.66 (step @p69 :rule trans :premises (@p68 @p67)) % 9.43/9.66 (step @p70 :rule cong :premises (@p69) :args ((forall @t30 (=> @t33 @t65)))) % 9.43/9.66 (step @p71 :rule aci_norm :args ((= (or @t60 (or @t63 @t62)) @t64))) % 9.43/9.66 (step @p72 :rule bool-and-de-morgan :args (@t25 @t24 true)) % 9.43/9.66 (step @p73 :rule refl :args (@t60)) % 9.43/9.66 (step @p74 :rule nary_cong :premises (@p73 @p72) :args ((or @t60 (not (and @t25 @t24))))) % 9.43/9.66 (step @p75 :rule bool-and-de-morgan :args (@t26 @t25 (and @t24))) % 9.43/9.66 (step @p76 :rule trans :premises (@p75 @p74)) % 9.43/9.66 (step @p77 :rule trans :premises (@p76 @p71)) % 9.43/9.66 (step @p78 :rule cong :premises (@p77) :args (@t74)) % 9.43/9.66 (step @p79 :rule cong :premises (@p78) :args (@t75)) % 9.43/9.66 (step @p80 :rule exists-elim :args ((= @t29 @t75))) % 9.43/9.66 (step @p81 :rule trans :premises (@p80 @p79)) % 9.43/9.66 (step @p82 :rule refl :args (@t33)) % 9.43/9.66 (step @p83 :rule cong :premises (@p82 @p81) :args (@t34)) % 9.43/9.66 (step @p84 :rule cong :premises (@p83) :args (@t35)) % 9.43/9.66 (step @p85 :rule trans :premises (@p84 @p70)) % 9.43/9.66 (step @p86 :rule refl :args (@t36)) % 9.43/9.66 (step @p87 :rule cong :premises (@p86 @p85) :args (@t37)) % 9.43/9.66 (step @p88 :rule refl :args (@t4)) % 9.43/9.66 (step @p89 :rule cong :premises (@p88 @p87) :args (@t38)) % 9.43/9.66 (step @p90 :rule cong :premises (@p89) :args (@t39)) % 9.43/9.66 (step @p91 :rule trans :premises (@p90 @p48)) % 9.43/9.66 (step @p92 :rule eq_resolve :premises (@p11 @p91)) % 9.43/9.66 (step @p93 :rule instantiate :premises (@p92) :args ((@list tptp.xR))) % 9.43/9.66 (step @p94 :rule cnf_or_pos :args (@t79)) % 9.43/9.66 (step @p95 :rule reordering :premises (@p94) :args ((or @t78 @t77 (not @t79)))) % 9.43/9.66 (step @p96 :rule chain_m_resolution :premises (@p95 @p15 @p93) :args (@t77 @t80 (@list @t41 @t79))) % 9.43/9.66 (step @p97 :rule and_elim :premises (@p16) :args (0)) % 9.43/9.66 (step @p98 :rule cnf_equiv_pos1 :args (@t77)) % 9.43/9.66 (step @p99 :rule reordering :premises (@p98) :args ((or (not @t42) @t76 (not @t77)))) % 9.43/9.66 (step @p100 :rule chain_m_resolution :premises (@p99 @p97 @p96) :args (@t76 @t80 (@list @t42 @t77))) % 9.43/9.66 (step @p101 :rule instantiate :premises (@p100) :args ((@list tptp.xa tptp.xu tptp.xv))) % 9.43/9.66 (step @p102 :rule cnf_or_pos :args (@t87)) % 9.43/9.66 (step @p103 :rule reordering :premises (@p102) :args ((or @t86 @t85 @t83 @t84 @t82 @t81 (not @t87)))) % 9.43/9.66 (step @p104 false :rule chain_m_resolution :premises (@p103 @p101 @p46 @p28 @p27 @p26 @p25 @p24) :args (false (@list false false false false false false false) (@list @t87 @t61 @t46 @t47 @t44 @t45 @t43))) % 9.43/9.66 ) % 9.43/9.66 % SZS output end Proof % 9.43/9.66 % cvc5 exiting %------------------------------------------------------------------------------