%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYN979+1 : TPTP v9.2.1. Released 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 : n024.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 09:10:11 AM UTC 2026 % Result : Theorem 0.15s 0.36s % Output : Proof 0.15s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : SYN979+1 : TPTP v9.2.1. Released v3.1.0. % 0.00/0.07 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.06/0.25 % Computer : n024.cluster.edu % 0.06/0.25 % Model : x86_64 x86_64 % 0.06/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.06/0.25 % Memory : 8042.1875MB % 0.06/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.06/0.25 % CPULimit : 300 % 0.06/0.25 % WCLimit : 300 % 0.06/0.25 % DateTime : Tue Jun 2 18:50:30 EDT 2026 % 0.06/0.25 % CPUTime : % 0.06/0.32 %----Proving TF0_NAR, FOF, or CNF % 0.15/0.36 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.15/0.36 % SZS status Theorem % 0.15/0.36 % SZS output start Proof % 0.15/0.36 ( % 0.15/0.36 (declare-sort $$unsorted 0) % 0.15/0.36 (declare-const tptp.q (-> $$unsorted Bool)) % 0.15/0.36 (declare-const tptp.r (-> $$unsorted Bool)) % 0.15/0.36 (declare-const tptp.s (-> $$unsorted Bool)) % 0.15/0.36 (declare-const tptp.p (-> $$unsorted $$unsorted Bool)) % 0.15/0.36 (define @t1 () (@var "B" $$unsorted)) % 0.15/0.36 (define @t2 () (@var "A" $$unsorted)) % 0.15/0.36 (define @t3 () (tptp.p @t2 @t1)) % 0.15/0.36 (define @t4 () (tptp.s @t2)) % 0.15/0.36 (define @t5 () (@var "Y" $$unsorted)) % 0.15/0.36 (define @t6 () (@var "X" $$unsorted)) % 0.15/0.36 (define @t7 () (tptp.p @t6 @t5)) % 0.15/0.36 (define @t8 () (tptp.r @t1)) % 0.15/0.36 (define @t9 () (tptp.r @t2)) % 0.15/0.36 (define @t10 () (tptp.p @t1 @t5)) % 0.15/0.36 (define @t11 () (tptp.r @t5)) % 0.15/0.36 (define @t12 () (tptp.q @t1)) % 0.15/0.36 (define @t13 () (tptp.q @t2)) % 0.15/0.36 (define @t14 () (tptp.p @t6 @t2)) % 0.15/0.36 (define @t15 () (tptp.q @t6)) % 0.15/0.36 (define @t16 () (and (=> @t15 @t14) @t13 @t12 (=> @t11 @t10) @t9 @t8 (=> @t4 @t7) @t4)) % 0.15/0.36 (define @t17 () (=> @t16 @t3)) % 0.15/0.36 (define @t18 () (@list @t6 @t5)) % 0.15/0.36 (define @t19 () (exists @t18 @t17)) % 0.15/0.36 (define @t20 () (@list @t2 @t1)) % 0.15/0.36 (define @t21 () (forall @t20 @t19)) % 0.15/0.36 (define @t22 () (not @t21)) % 0.15/0.36 (define @t23 () (not @t4)) % 0.15/0.36 (define @t24 () (@var "BOUND_VARIABLE_7474" $$unsorted)) % 0.15/0.36 (define @t25 () (@var "BOUND_VARIABLE_7472" $$unsorted)) % 0.15/0.36 (define @t26 () (tptp.p @t25 @t24)) % 0.15/0.36 (define @t27 () (@list @t25 @t24)) % 0.15/0.36 (define @t28 () (forall @t27 @t26)) % 0.15/0.36 (define @t29 () (not @t28)) % 0.15/0.36 (define @t30 () (not @t8)) % 0.15/0.36 (define @t31 () (not @t9)) % 0.15/0.36 (define @t32 () (@var "BOUND_VARIABLE_7463" $$unsorted)) % 0.15/0.36 (define @t33 () (not (tptp.r @t32))) % 0.15/0.36 (define @t34 () (or @t33 (tptp.p @t1 @t32))) % 0.15/0.36 (define @t35 () (@list @t32)) % 0.15/0.36 (define @t36 () (forall @t35 @t34)) % 0.15/0.36 (define @t37 () (not @t36)) % 0.15/0.36 (define @t38 () (not @t12)) % 0.15/0.36 (define @t39 () (not @t13)) % 0.15/0.36 (define @t40 () (@var "BOUND_VARIABLE_7451" $$unsorted)) % 0.15/0.36 (define @t41 () (not (tptp.q @t40))) % 0.15/0.36 (define @t42 () (or @t41 (tptp.p @t40 @t2))) % 0.15/0.36 (define @t43 () (@list @t40)) % 0.15/0.36 (define @t44 () (forall @t43 @t42)) % 0.15/0.36 (define @t45 () (not @t44)) % 0.15/0.36 (define @t46 () (or @t23 @t28)) % 0.15/0.36 (define @t47 () (not @t46)) % 0.15/0.36 (define @t48 () (not @t3)) % 0.15/0.36 (define @t49 () (not @t48)) % 0.15/0.36 (define @t50 () (or @t45 @t39 @t38 @t37 @t31 @t30 @t47 @t23 @t49)) % 0.15/0.36 (define @t51 () (forall @t27 (or @t23 @t26))) % 0.15/0.36 (define @t52 () (@var "BOUND_VARIABLE_7461" $$unsorted)) % 0.15/0.36 (define @t53 () (forall (@list @t52 @t32) @t34)) % 0.15/0.36 (define @t54 () (@var "BOUND_VARIABLE_7453" $$unsorted)) % 0.15/0.36 (define @t55 () (forall (@list @t40 @t54) @t42)) % 0.15/0.36 (define @t56 () (forall @t18 @t48)) % 0.15/0.36 (define @t57 () (forall @t18 @t4)) % 0.15/0.36 (define @t58 () (or @t23 @t7)) % 0.15/0.36 (define @t59 () (forall @t18 @t58)) % 0.15/0.36 (define @t60 () (@list @t6 @t5)) % 0.15/0.36 (define @t61 () (forall @t18 @t8)) % 0.15/0.36 (define @t62 () (forall @t18 @t9)) % 0.15/0.36 (define @t63 () (or (not @t11) @t10)) % 0.15/0.36 (define @t64 () (forall @t18 @t63)) % 0.15/0.36 (define @t65 () (forall @t18 @t12)) % 0.15/0.36 (define @t66 () (forall @t18 @t13)) % 0.15/0.36 (define @t67 () (or (not @t15) @t14)) % 0.15/0.36 (define @t68 () (forall @t18 @t67)) % 0.15/0.36 (define @t69 () (and @t68 @t66 @t65 @t64 @t62 @t61 @t59 @t57 @t56)) % 0.15/0.36 (define @t70 () (and @t67 @t13 @t12 @t63 @t9 @t8 @t58 @t4 @t48)) % 0.15/0.36 (define @t71 () (forall @t18 (not @t17))) % 0.15/0.36 (define @t72 () (not @t71)) % 0.15/0.36 (define @t73 () (forall @t20 (or @t45 @t39 @t38 @t37 @t31 @t30 (and @t4 @t29) @t23 @t3))) % 0.15/0.36 (define @t74 () (@quantifiers_skolemize @t73 1)) % 0.15/0.36 (define @t75 () (@quantifiers_skolemize @t73 0)) % 0.15/0.36 (define @t76 () (tptp.p @t75 @t74)) % 0.15/0.36 (define @t77 () (tptp.s @t75)) % 0.15/0.36 (define @t78 () (not @t77)) % 0.15/0.36 (define @t79 () (and @t77 @t29)) % 0.15/0.36 (define @t80 () (or (not (forall @t43 (or @t41 (tptp.p @t40 @t75)))) (not (tptp.q @t75)) (not (tptp.q @t74)) (not (forall @t35 (or @t33 (tptp.p @t74 @t32)))) (not (tptp.r @t75)) (not (tptp.r @t74)) @t79 @t78 @t76)) % 0.15/0.36 (define @t81 () (@list true)) % 0.15/0.36 (define @t82 () (@list @t80)) % 0.15/0.36 (assume @p1 @t22) % 0.15/0.36 (assume @p2 true) % 0.15/0.36 (step @p3 :rule refl :args (@t3)) % 0.15/0.36 (step @p4 :rule refl :args (@t23)) % 0.15/0.36 (step @p5 :rule refl :args (@t29)) % 0.15/0.36 (step @p6 :rule bool-double-not-elim :args (@t4)) % 0.15/0.36 (step @p7 :rule nary_cong :premises (@p6 @p5) :args ((and (not @t23) @t29))) % 0.15/0.36 (step @p8 :rule bool-or-de-morgan :args (@t23 @t28 false)) % 0.15/0.36 (step @p9 :rule trans :premises (@p8 @p7)) % 0.15/0.36 (step @p10 :rule refl :args (@t30)) % 0.15/0.36 (step @p11 :rule refl :args (@t31)) % 0.15/0.36 (step @p12 :rule refl :args (@t37)) % 0.15/0.36 (step @p13 :rule refl :args (@t38)) % 0.15/0.36 (step @p14 :rule refl :args (@t39)) % 0.15/0.36 (step @p15 :rule refl :args (@t45)) % 0.15/0.36 (step @p16 :rule nary_cong :premises (@p15 @p14 @p13 @p12 @p11 @p10 @p9 @p4 @p3) :args ((or @t45 @t39 @t38 @t37 @t31 @t30 @t47 @t23 @t3))) % 0.15/0.36 (step @p17 :rule bool-double-not-elim :args (@t3)) % 0.15/0.36 (step @p18 :rule refl :args (@t47)) % 0.15/0.36 (step @p19 :rule nary_cong :premises (@p15 @p14 @p13 @p12 @p11 @p10 @p18 @p4 @p17) :args (@t50)) % 0.15/0.36 (step @p20 :rule aci_norm :args ((= (or @t45 (or @t39 (or @t38 (or @t37 (or @t31 (or @t30 (or @t47 (or @t23 @t49)))))))) @t50))) % 0.15/0.36 (step @p21 :rule trans :premises (@p20 @p19)) % 0.15/0.36 (step @p22 :rule bool-and-de-morgan :args (@t4 @t48 true)) % 0.15/0.36 (step @p23 :rule nary_cong :premises (@p18 @p22) :args ((or @t47 (not (and @t4 @t48))))) % 0.15/0.36 (step @p24 :rule bool-and-de-morgan :args (@t46 @t4 (and @t48))) % 0.15/0.36 (step @p25 :rule trans :premises (@p24 @p23)) % 0.15/0.36 (step @p26 :rule nary_cong :premises (@p10 @p25) :args ((or @t30 (not (and @t46 @t4 @t48))))) % 0.15/0.36 (step @p27 :rule bool-and-de-morgan :args (@t8 @t46 (and @t4 @t48))) % 0.15/0.36 (step @p28 :rule trans :premises (@p27 @p26)) % 0.15/0.36 (step @p29 :rule nary_cong :premises (@p11 @p28) :args ((or @t31 (not (and @t8 @t46 @t4 @t48))))) % 0.15/0.36 (step @p30 :rule bool-and-de-morgan :args (@t9 @t8 (and @t46 @t4 @t48))) % 0.15/0.36 (step @p31 :rule trans :premises (@p30 @p29)) % 0.15/0.36 (step @p32 :rule nary_cong :premises (@p12 @p31) :args ((or @t37 (not (and @t9 @t8 @t46 @t4 @t48))))) % 0.15/0.36 (step @p33 :rule bool-and-de-morgan :args (@t36 @t9 (and @t8 @t46 @t4 @t48))) % 0.15/0.36 (step @p34 :rule trans :premises (@p33 @p32)) % 0.15/0.36 (step @p35 :rule nary_cong :premises (@p13 @p34) :args ((or @t38 (not (and @t36 @t9 @t8 @t46 @t4 @t48))))) % 0.15/0.36 (step @p36 :rule bool-and-de-morgan :args (@t12 @t36 (and @t9 @t8 @t46 @t4 @t48))) % 0.15/0.36 (step @p37 :rule trans :premises (@p36 @p35)) % 0.15/0.36 (step @p38 :rule nary_cong :premises (@p14 @p37) :args ((or @t39 (not (and @t12 @t36 @t9 @t8 @t46 @t4 @t48))))) % 0.15/0.36 (step @p39 :rule bool-and-de-morgan :args (@t13 @t12 (and @t36 @t9 @t8 @t46 @t4 @t48))) % 0.15/0.36 (step @p40 :rule trans :premises (@p39 @p38)) % 0.15/0.36 (step @p41 :rule nary_cong :premises (@p15 @p40) :args ((or @t45 (not (and @t13 @t12 @t36 @t9 @t8 @t46 @t4 @t48))))) % 0.15/0.36 (step @p42 :rule bool-and-de-morgan :args (@t44 @t13 (and @t12 @t36 @t9 @t8 @t46 @t4 @t48))) % 0.15/0.36 (step @p43 :rule trans :premises (@p42 @p41)) % 0.15/0.36 (step @p44 :rule trans :premises (@p43 @p21)) % 0.15/0.36 (step @p45 :rule trans :premises (@p44 @p16)) % 0.15/0.36 (step @p46 :rule cong :premises (@p45) :args ((forall @t20 (not (and @t44 @t13 @t12 @t36 @t9 @t8 @t46 @t4 @t48))))) % 0.15/0.36 (step @p47 :rule refl :args (@t48)) % 0.15/0.36 (step @p48 :rule refl :args (@t4)) % 0.15/0.36 (step @p49 :rule quant-miniscope-or :args ((= @t51 @t46))) % 0.15/0.36 (step @p50 :rule refl :args (@t8)) % 0.15/0.36 (step @p51 :rule refl :args (@t9)) % 0.15/0.36 (step @p52 :rule quant-unused-vars :args ((= @t53 @t36))) % 0.15/0.36 (step @p53 :rule refl :args (@t12)) % 0.15/0.36 (step @p54 :rule refl :args (@t13)) % 0.15/0.36 (step @p55 :rule quant-unused-vars :args ((= @t55 @t44))) % 0.15/0.36 (step @p56 :rule nary_cong :premises (@p55 @p54 @p53 @p52 @p51 @p50 @p49 @p48 @p47) :args ((and @t55 @t13 @t12 @t53 @t9 @t8 @t51 @t4 @t48))) % 0.15/0.36 (step @p57 :rule quant-unused-vars :args ((= @t56 @t48))) % 0.15/0.36 (step @p58 :rule quant-unused-vars :args ((= @t57 @t4))) % 0.15/0.36 (step @p59 :rule alpha_equiv :args (@t59 @t60 (@list @t25 @t24))) % 0.15/0.36 (step @p60 :rule quant-unused-vars :args ((= @t61 @t8))) % 0.15/0.36 (step @p61 :rule quant-unused-vars :args ((= @t62 @t9))) % 0.15/0.36 (step @p62 :rule alpha_equiv :args (@t64 @t60 (@list @t52 @t32))) % 0.15/0.36 (step @p63 :rule quant-unused-vars :args ((= @t65 @t12))) % 0.15/0.36 (step @p64 :rule quant-unused-vars :args ((= @t66 @t13))) % 0.15/0.36 (step @p65 :rule alpha_equiv :args (@t68 @t60 (@list @t40 @t54))) % 0.15/0.36 (step @p66 :rule nary_cong :premises (@p65 @p64 @p63 @p62 @p61 @p60 @p59 @p58 @p57) :args (@t69)) % 0.15/0.36 (step @p67 :rule quant-miniscope-and :args ((= (forall @t18 @t70) @t69))) % 0.15/0.36 (step @p68 :rule trans :premises (@p67 @p66)) % 0.15/0.36 (step @p69 :rule trans :premises (@p68 @p56)) % 0.15/0.36 (step @p70 :rule aci_norm :args ((= (and (and @t67 @t13 @t12 @t63 @t9 @t8 @t58 @t4) @t48) @t70))) % 0.15/0.36 (step @p71 :rule refl :args (@t48)) % 0.15/0.36 (step @p72 :rule refl :args (@t4)) % 0.15/0.36 (step @p73 :rule bool-impl-elim :args (@t4 @t7)) % 0.15/0.36 (step @p74 :rule refl :args (@t8)) % 0.15/0.36 (step @p75 :rule refl :args (@t9)) % 0.15/0.36 (step @p76 :rule bool-impl-elim :args (@t11 @t10)) % 0.15/0.36 (step @p77 :rule refl :args (@t12)) % 0.15/0.36 (step @p78 :rule refl :args (@t13)) % 0.15/0.36 (step @p79 :rule bool-impl-elim :args (@t15 @t14)) % 0.15/0.36 (step @p80 :rule nary_cong :premises (@p79 @p78 @p77 @p76 @p75 @p74 @p73 @p72) :args (@t16)) % 0.15/0.36 (step @p81 :rule nary_cong :premises (@p80 @p71) :args ((and @t16 @t48))) % 0.15/0.36 (step @p82 :rule trans :premises (@p81 @p70)) % 0.15/0.36 (step @p83 :rule bool-implies-de-morgan :args (@t16 @t3)) % 0.15/0.36 (step @p84 :rule trans :premises (@p83 @p82)) % 0.15/0.36 (step @p85 :rule cong :premises (@p84) :args (@t71)) % 0.15/0.36 (step @p86 :rule trans :premises (@p85 @p69)) % 0.15/0.36 (step @p87 :rule cong :premises (@p86) :args (@t72)) % 0.15/0.36 (step @p88 :rule exists-elim :args ((= @t19 @t72))) % 0.15/0.36 (step @p89 :rule trans :premises (@p88 @p87)) % 0.15/0.36 (step @p90 :rule cong :premises (@p89) :args (@t21)) % 0.15/0.36 (step @p91 :rule trans :premises (@p90 @p46)) % 0.15/0.36 (step @p92 :rule cong :premises (@p91) :args (@t22)) % 0.15/0.36 (step @p93 :rule eq_resolve :premises (@p1 @p92)) % 0.15/0.36 (step @p94 :rule skolemize :premises (@p93)) % 0.15/0.36 (step @p95 :rule cnf_or_neg :args (@t80 8)) % 0.15/0.36 (step @p96 :rule chain_m_resolution :premises (@p95 @p94) :args ((not @t76) @t81 @t82)) % 0.15/0.36 (step @p97 :rule bool-double-not-elim :args (@t77)) % 0.15/0.36 (step @p98 :rule refl :args (@t80)) % 0.15/0.36 (step @p99 :rule nary_cong :premises (@p98 @p97) :args ((or @t80 (not @t78)))) % 0.15/0.36 (step @p100 :rule cnf_or_neg :args (@t80 7)) % 0.15/0.36 (step @p101 :rule eq_resolve :premises (@p100 @p99)) % 0.15/0.36 (step @p102 :rule reordering :premises (@p101) :args ((or @t77 @t80))) % 0.15/0.36 (step @p103 :rule chain_m_resolution :premises (@p102 @p94) :args (@t77 @t81 @t82)) % 0.15/0.36 (step @p104 :rule cnf_or_neg :args (@t80 6)) % 0.15/0.36 (step @p105 :rule chain_m_resolution :premises (@p104 @p94) :args ((not @t79) @t81 @t82)) % 0.15/0.36 (step @p106 :rule bool-double-not-elim :args (@t28)) % 0.15/0.36 (step @p107 :rule refl :args (@t78)) % 0.15/0.36 (step @p108 :rule refl :args (@t79)) % 0.15/0.36 (step @p109 :rule nary_cong :premises (@p108 @p107 @p106) :args ((or @t79 @t78 (not @t29)))) % 0.15/0.36 (step @p110 :rule cnf_and_neg :args (@t79)) % 0.15/0.36 (step @p111 :rule eq_resolve :premises (@p110 @p109)) % 0.15/0.36 (step @p112 :rule reordering :premises (@p111) :args ((or @t28 @t79 @t78))) % 0.15/0.36 (step @p113 :rule chain_m_resolution :premises (@p112 @p105 @p103) :args (@t28 (@list true false) (@list @t79 @t77))) % 0.15/0.36 (assume-push @p120 @t28) % 0.15/0.36 (step @p115 :rule instantiate :premises (@p113) :args ((@list @t75 @t74))) % 0.15/0.36 (step-pop @p121 :rule scope :premises (@p115)) % 0.15/0.36 (step @p116 :rule process_scope :premises (@p121) :args (@t76)) % 0.15/0.36 (step @p118 :rule implies_elim :premises (@p116)) % 0.15/0.36 (step @p119 false :rule chain_m_resolution :premises (@p118 @p113 @p96) :args (false (@list false true) (@list @t28 @t76))) % 0.15/0.36 ) % 0.15/0.36 % SZS output end Proof % 0.15/0.36 % cvc5 exiting %------------------------------------------------------------------------------