%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU941^5 : 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 : n014.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 08:53:34 AM UTC 2026 % Result : Theorem 0.37s 0.56s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU941^5 : 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 : n014.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 : Tue Jun 2 18:01:28 EDT 2026 % 0.16/0.34 % CPUTime : % 0.27/0.49 %----Proving TH0 % 0.37/0.56 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.37/0.56 % SZS status Theorem % 0.37/0.56 % SZS output start Proof % 0.37/0.56 ( % 0.37/0.56 (declare-sort tptp.b 0) % 0.37/0.56 (declare-sort tptp.c 0) % 0.37/0.56 (declare-sort tptp.a 0) % 0.37/0.56 (define @t1 () (@var "Xy" tptp.a)) % 0.37/0.56 (define @t2 () (@var "Xx" tptp.a)) % 0.37/0.56 (define @t3 () (= @t2 @t1)) % 0.37/0.56 (define @t4 () (@var "F" (-> tptp.a tptp.b))) % 0.37/0.56 (define @t5 () (_ @t4 @t1)) % 0.37/0.56 (define @t6 () (@var "G" (-> tptp.b tptp.c))) % 0.37/0.56 (define @t7 () (_ @t6 @t5)) % 0.37/0.56 (define @t8 () (_ @t4 @t2)) % 0.37/0.56 (define @t9 () (_ @t6 @t8)) % 0.37/0.56 (define @t10 () (= @t9 @t7)) % 0.37/0.56 (define @t11 () (@list @t2 @t1)) % 0.37/0.56 (define @t12 () (forall @t11 (=> @t10 @t3))) % 0.37/0.56 (define @t13 () (@var "Xy" tptp.b)) % 0.37/0.56 (define @t14 () (@var "Xx" tptp.b)) % 0.37/0.56 (define @t15 () (= @t14 @t13)) % 0.37/0.56 (define @t16 () (_ @t6 @t13)) % 0.37/0.56 (define @t17 () (_ @t6 @t14)) % 0.37/0.56 (define @t18 () (= @t17 @t16)) % 0.37/0.56 (define @t19 () (@list @t14 @t13)) % 0.37/0.56 (define @t20 () (forall @t19 (=> @t18 @t15))) % 0.37/0.56 (define @t21 () (= @t8 @t5)) % 0.37/0.56 (define @t22 () (forall @t11 (=> @t21 @t3))) % 0.37/0.56 (define @t23 () (and @t22 @t20)) % 0.37/0.56 (define @t24 () (=> @t23 @t12)) % 0.37/0.56 (define @t25 () (@list @t4 @t6)) % 0.37/0.56 (define @t26 () (forall @t25 @t24)) % 0.37/0.56 (define @t27 () (not @t26)) % 0.37/0.56 (define @t28 () (@var "BOUND_VARIABLE_7481" tptp.a)) % 0.37/0.56 (define @t29 () (@var "BOUND_VARIABLE_7479" tptp.a)) % 0.37/0.56 (define @t30 () (= @t29 @t28)) % 0.37/0.56 (define @t31 () (not (= (_ @t6 (_ @t4 @t29)) (_ @t6 (_ @t4 @t28))))) % 0.37/0.56 (define @t32 () (_ @t6 @t13)) % 0.37/0.56 (define @t33 () (_ @t6 @t14)) % 0.37/0.56 (define @t34 () (forall @t19 (or (not (= @t33 @t32)) @t15))) % 0.37/0.56 (define @t35 () (not @t34)) % 0.37/0.56 (define @t36 () (_ @t4 @t1)) % 0.37/0.56 (define @t37 () (_ @t4 @t2)) % 0.37/0.56 (define @t38 () (forall @t11 (or (not (= @t37 @t36)) @t3))) % 0.37/0.56 (define @t39 () (not @t38)) % 0.37/0.56 (define @t40 () (or @t39 @t35 @t31 @t30)) % 0.37/0.56 (define @t41 () (or @t31 @t30)) % 0.37/0.56 (define @t42 () (or @t39 @t35 @t41)) % 0.37/0.56 (define @t43 () (@list @t4 @t6 @t29 @t28)) % 0.37/0.56 (define @t44 () (forall @t43 @t42)) % 0.37/0.56 (define @t45 () (@list @t29 @t28)) % 0.37/0.56 (define @t46 () (forall @t45 @t42)) % 0.37/0.56 (define @t47 () (forall @t45 @t41)) % 0.37/0.56 (define @t48 () (or @t39 @t35 @t47)) % 0.37/0.56 (define @t49 () (_ @t6 @t36)) % 0.37/0.56 (define @t50 () (_ @t6 @t37)) % 0.37/0.56 (define @t51 () (forall @t11 (or (not (= @t50 @t49)) @t3))) % 0.37/0.56 (define @t52 () (or @t39 @t35 @t51)) % 0.37/0.56 (define @t53 () (and @t38 @t34)) % 0.37/0.56 (define @t54 () (not @t10)) % 0.37/0.56 (define @t55 () (or @t54 @t3)) % 0.37/0.56 (define @t56 () (not @t18)) % 0.37/0.56 (define @t57 () (or @t56 @t15)) % 0.37/0.56 (define @t58 () (not @t21)) % 0.37/0.56 (define @t59 () (or @t58 @t3)) % 0.37/0.56 (define @t60 () (forall @t43 @t40)) % 0.37/0.56 (define @t61 () (@quantifiers_skolemize @t60 0)) % 0.37/0.56 (define @t62 () (forall @t11 (or (not (= (_ @t61 @t2) (_ @t61 @t1))) @t3))) % 0.37/0.56 (define @t63 () (@quantifiers_skolemize @t60 3)) % 0.37/0.56 (define @t64 () (@quantifiers_skolemize @t60 2)) % 0.37/0.56 (define @t65 () (= @t64 @t63)) % 0.37/0.56 (define @t66 () (_ @t61 @t63)) % 0.37/0.56 (define @t67 () (@quantifiers_skolemize @t60 1)) % 0.37/0.56 (define @t68 () (_ @t61 @t64)) % 0.37/0.56 (define @t69 () (= (_ @t67 @t68) (_ @t67 @t66))) % 0.37/0.56 (define @t70 () (not @t69)) % 0.37/0.56 (define @t71 () (forall @t19 (or (not (= (_ @t67 @t14) (_ @t67 @t13))) @t15))) % 0.37/0.56 (define @t72 () (not @t71)) % 0.37/0.56 (define @t73 () (not @t62)) % 0.37/0.56 (define @t74 () (or @t73 @t72 @t70 @t65)) % 0.37/0.56 (define @t75 () (@list true)) % 0.37/0.56 (define @t76 () (@list @t74)) % 0.37/0.56 (define @t77 () (= @t68 @t66)) % 0.37/0.56 (define @t78 () (or @t70 @t77)) % 0.37/0.56 (define @t79 () (not @t77)) % 0.37/0.56 (define @t80 () (or @t79 @t65)) % 0.37/0.56 (define @t81 () (not @t80)) % 0.37/0.56 (define @t82 () (@list true false)) % 0.37/0.56 (assume @p1 @t27) % 0.37/0.56 (assume @p2 true) % 0.37/0.56 (step @p3 :rule aci_norm :args ((= @t42 @t40))) % 0.37/0.56 (step @p4 :rule cong :premises (@p3) :args (@t44)) % 0.37/0.56 (step @p5 :rule quant-merge-prenex :args ((= (forall @t25 @t46) @t44))) % 0.37/0.56 (step @p6 :rule alpha_equiv :args (@t47 (@list @t29 @t28) (@list @t2 @t1))) % 0.37/0.56 (step @p7 :rule refl :args (@t35)) % 0.37/0.56 (step @p8 :rule refl :args (@t39)) % 0.37/0.56 (step @p9 :rule nary_cong :premises (@p8 @p7 @p6) :args (@t48)) % 0.37/0.56 (step @p10 :rule quant-miniscope-or :args ((= @t46 @t48))) % 0.37/0.56 (step @p11 :rule trans :premises (@p10 @p9)) % 0.37/0.56 (step @p12 :rule symm :premises (@p11)) % 0.37/0.56 (step @p13 :rule cong :premises (@p12) :args ((forall @t25 @t52))) % 0.37/0.56 (step @p14 :rule trans :premises (@p13 @p5)) % 0.37/0.56 (step @p15 :rule trans :premises (@p14 @p4)) % 0.37/0.56 (step @p16 :rule aci_norm :args ((= (or (or @t39 @t35) @t51) @t52))) % 0.37/0.56 (step @p17 :rule refl :args (@t51)) % 0.37/0.56 (step @p18 :rule bool-and-de-morgan :args (@t38 @t34 true)) % 0.37/0.56 (step @p19 :rule nary_cong :premises (@p18 @p17) :args ((or (not @t53) @t51))) % 0.37/0.56 (step @p20 :rule trans :premises (@p19 @p16)) % 0.37/0.56 (step @p21 :rule bool-impl-elim :args (@t53 @t51)) % 0.37/0.56 (step @p22 :rule trans :premises (@p21 @p20)) % 0.37/0.56 (step @p23 :rule cong :premises (@p22) :args ((forall @t25 (=> @t53 @t51)))) % 0.37/0.56 (step @p24 :rule trans :premises (@p23 @p15)) % 0.37/0.56 (step @p25 :rule refl :args (@t3)) % 0.37/0.56 (step @p26 :rule refl :args ((_ @t6 @t5))) % 0.37/0.56 (step @p27 :rule refl :args (@t36)) % 0.37/0.56 (step @p28 :rule cong :premises (@p27) :args (@t49)) % 0.37/0.56 (step @p29 :rule trans :premises (@p28 @p26)) % 0.37/0.56 (step @p30 :rule refl :args (@t6)) % 0.37/0.56 (step @p31 :rule ho_cong :premises (@p30 @p27)) % 0.37/0.56 (step @p32 :rule cong :premises (@p31 @p29) :args ((= (_ @t6 @t36) @t49))) % 0.37/0.56 (step @p33 :rule symm :premises (@p32)) % 0.37/0.56 (step @p34 :rule refl :args (@t7)) % 0.37/0.56 (step @p35 :rule eq_resolve :premises (@p34 @p33)) % 0.37/0.56 (step @p36 :rule refl :args (@t5)) % 0.37/0.56 (step @p37 :rule cong :premises (@p36 @p27) :args ((= @t5 @t36))) % 0.37/0.56 (step @p38 :rule symm :premises (@p37)) % 0.37/0.56 (step @p39 :rule eq_resolve :premises (@p36 @p38)) % 0.37/0.56 (step @p40 :rule ho_cong :premises (@p30 @p39)) % 0.37/0.56 (step @p41 :rule trans :premises (@p40 @p35)) % 0.37/0.56 (step @p42 :rule refl :args ((_ @t6 @t8))) % 0.37/0.56 (step @p43 :rule refl :args (@t37)) % 0.37/0.56 (step @p44 :rule cong :premises (@p43) :args (@t50)) % 0.37/0.56 (step @p45 :rule trans :premises (@p44 @p42)) % 0.37/0.56 (step @p46 :rule ho_cong :premises (@p30 @p43)) % 0.37/0.56 (step @p47 :rule cong :premises (@p46 @p45) :args ((= (_ @t6 @t37) @t50))) % 0.37/0.56 (step @p48 :rule symm :premises (@p47)) % 0.37/0.56 (step @p49 :rule refl :args (@t9)) % 0.37/0.56 (step @p50 :rule eq_resolve :premises (@p49 @p48)) % 0.37/0.56 (step @p51 :rule refl :args (@t8)) % 0.37/0.56 (step @p52 :rule cong :premises (@p51 @p43) :args ((= @t8 @t37))) % 0.37/0.56 (step @p53 :rule symm :premises (@p52)) % 0.37/0.56 (step @p54 :rule eq_resolve :premises (@p51 @p53)) % 0.37/0.56 (step @p55 :rule ho_cong :premises (@p30 @p54)) % 0.37/0.56 (step @p56 :rule trans :premises (@p55 @p50)) % 0.37/0.56 (step @p57 :rule cong :premises (@p56 @p41) :args (@t10)) % 0.37/0.56 (step @p58 :rule cong :premises (@p57) :args (@t54)) % 0.37/0.56 (step @p59 :rule nary_cong :premises (@p58 @p25) :args (@t55)) % 0.37/0.56 (step @p60 :rule cong :premises (@p59) :args ((forall @t11 @t55))) % 0.37/0.56 (step @p61 :rule bool-impl-elim :args (@t10 @t3)) % 0.37/0.56 (step @p62 :rule cong :premises (@p61) :args (@t12)) % 0.37/0.56 (step @p63 :rule trans :premises (@p62 @p60)) % 0.37/0.56 (step @p64 :rule refl :args (@t15)) % 0.37/0.56 (step @p65 :rule refl :args (@t32)) % 0.37/0.56 (step @p66 :rule refl :args (@t16)) % 0.37/0.56 (step @p67 :rule cong :premises (@p66 @p65) :args ((= @t16 @t32))) % 0.37/0.56 (step @p68 :rule symm :premises (@p67)) % 0.37/0.56 (step @p69 :rule eq_resolve :premises (@p66 @p68)) % 0.37/0.56 (step @p70 :rule refl :args (@t33)) % 0.37/0.56 (step @p71 :rule refl :args (@t17)) % 0.37/0.56 (step @p72 :rule cong :premises (@p71 @p70) :args ((= @t17 @t33))) % 0.37/0.56 (step @p73 :rule symm :premises (@p72)) % 0.37/0.56 (step @p74 :rule eq_resolve :premises (@p71 @p73)) % 0.37/0.56 (step @p75 :rule cong :premises (@p74 @p69) :args (@t18)) % 0.37/0.56 (step @p76 :rule cong :premises (@p75) :args (@t56)) % 0.37/0.56 (step @p77 :rule nary_cong :premises (@p76 @p64) :args (@t57)) % 0.37/0.56 (step @p78 :rule cong :premises (@p77) :args ((forall @t19 @t57))) % 0.37/0.56 (step @p79 :rule bool-impl-elim :args (@t18 @t15)) % 0.37/0.56 (step @p80 :rule cong :premises (@p79) :args (@t20)) % 0.37/0.56 (step @p81 :rule trans :premises (@p80 @p78)) % 0.37/0.56 (step @p82 :rule cong :premises (@p54 @p39) :args (@t21)) % 0.37/0.56 (step @p83 :rule cong :premises (@p82) :args (@t58)) % 0.37/0.56 (step @p84 :rule nary_cong :premises (@p83 @p25) :args (@t59)) % 0.37/0.56 (step @p85 :rule cong :premises (@p84) :args ((forall @t11 @t59))) % 0.37/0.56 (step @p86 :rule bool-impl-elim :args (@t21 @t3)) % 0.37/0.56 (step @p87 :rule cong :premises (@p86) :args (@t22)) % 0.37/0.56 (step @p88 :rule trans :premises (@p87 @p85)) % 0.37/0.56 (step @p89 :rule nary_cong :premises (@p88 @p81) :args (@t23)) % 0.37/0.56 (step @p90 :rule cong :premises (@p89 @p63) :args (@t24)) % 0.37/0.56 (step @p91 :rule cong :premises (@p90) :args (@t26)) % 0.37/0.56 (step @p92 :rule trans :premises (@p91 @p24)) % 0.37/0.56 (step @p93 :rule cong :premises (@p92) :args (@t27)) % 0.37/0.56 (step @p94 :rule eq_resolve :premises (@p1 @p93)) % 0.37/0.56 (step @p95 :rule skolemize :premises (@p94)) % 0.37/0.56 (step @p96 :rule bool-double-not-elim :args (@t62)) % 0.37/0.56 (step @p97 :rule refl :args (@t74)) % 0.37/0.56 (step @p98 :rule nary_cong :premises (@p97 @p96) :args ((or @t74 (not @t73)))) % 0.37/0.56 (step @p99 :rule cnf_or_neg :args (@t74 0)) % 0.37/0.56 (step @p100 :rule eq_resolve :premises (@p99 @p98)) % 0.37/0.56 (step @p101 :rule reordering :premises (@p100) :args ((or @t62 @t74))) % 0.37/0.56 (step @p102 :rule chain_m_resolution :premises (@p101 @p95) :args (@t62 @t75 @t76)) % 0.37/0.56 (step @p103 :rule bool-double-not-elim :args (@t71)) % 0.37/0.56 (step @p104 :rule nary_cong :premises (@p97 @p103) :args ((or @t74 (not @t72)))) % 0.37/0.56 (step @p105 :rule cnf_or_neg :args (@t74 1)) % 0.37/0.56 (step @p106 :rule eq_resolve :premises (@p105 @p104)) % 0.37/0.56 (step @p107 :rule reordering :premises (@p106) :args ((or @t71 @t74))) % 0.37/0.56 (step @p108 :rule chain_m_resolution :premises (@p107 @p95) :args (@t71 @t75 @t76)) % 0.37/0.56 (step @p109 :rule instantiate :premises (@p108) :args ((@list @t68 @t66))) % 0.37/0.56 (step @p110 :rule bool-double-not-elim :args (@t69)) % 0.37/0.56 (step @p111 :rule nary_cong :premises (@p97 @p110) :args ((or @t74 (not @t70)))) % 0.37/0.56 (step @p112 :rule cnf_or_neg :args (@t74 2)) % 0.37/0.56 (step @p113 :rule eq_resolve :premises (@p112 @p111)) % 0.37/0.56 (step @p114 :rule reordering :premises (@p113) :args ((or @t69 @t74))) % 0.37/0.56 (step @p115 :rule chain_m_resolution :premises (@p114 @p95) :args (@t69 @t75 @t76)) % 0.37/0.56 (step @p116 :rule cnf_or_pos :args (@t78)) % 0.37/0.56 (step @p117 :rule reordering :premises (@p116) :args ((or @t70 @t77 (not @t78)))) % 0.37/0.56 (step @p118 :rule chain_m_resolution :premises (@p117 @p115 @p109) :args (@t77 (@list false false) (@list @t69 @t78))) % 0.37/0.56 (step @p119 :rule cnf_or_neg :args (@t74 3)) % 0.37/0.56 (step @p120 :rule chain_m_resolution :premises (@p119 @p95) :args ((not @t65) @t75 @t76)) % 0.37/0.56 (step @p121 :rule cnf_or_pos :args (@t80)) % 0.37/0.56 (step @p122 :rule reordering :premises (@p121) :args ((or @t65 @t79 @t81))) % 0.37/0.56 (step @p123 :rule chain_m_resolution :premises (@p122 @p120 @p118) :args (@t81 @t82 (@list @t65 @t77))) % 0.37/0.56 (assume-push @p130 @t62) % 0.37/0.56 (step @p125 :rule instantiate :premises (@p102) :args ((@list @t64 @t63))) % 0.37/0.56 (step-pop @p131 :rule scope :premises (@p125)) % 0.37/0.56 (step @p126 :rule process_scope :premises (@p131) :args (@t80)) % 0.37/0.56 (step @p128 :rule implies_elim :premises (@p126)) % 0.37/0.56 (step @p129 false :rule chain_m_resolution :premises (@p128 @p123 @p102) :args (false @t82 (@list @t80 @t62))) % 0.37/0.56 ) % 0.37/0.56 % SZS output end Proof % 0.37/0.56 % cvc5 exiting %------------------------------------------------------------------------------