%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : REL003+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 : n003.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 08:44:51 AM UTC 2026 % Result : Theorem 15.86s 16.10s % Output : Proof 15.86s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : REL003+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 : n003.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 13:23:59 EDT 2026 % 0.16/0.35 % CPUTime : % 0.29/0.50 %----Proving TF0_NAR, FOF, or CNF % 15.86/16.10 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.86/16.10 --- Run --no-e-matching --full-saturate-quant at 6... % 15.86/16.10 % SZS status Theorem % 15.86/16.10 % SZS output start Proof % 15.86/16.10 ( % 15.86/16.10 (declare-sort $$unsorted 0) % 15.86/16.10 (declare-const tptp.top $$unsorted) % 15.86/16.10 (declare-const tptp.converse (-> $$unsorted $$unsorted)) % 15.86/16.10 (declare-const tptp.one $$unsorted) % 15.86/16.10 (declare-const tptp.composition (-> $$unsorted $$unsorted $$unsorted)) % 15.86/16.10 (declare-const tptp.meet (-> $$unsorted $$unsorted $$unsorted)) % 15.86/16.10 (declare-const tptp.complement (-> $$unsorted $$unsorted)) % 15.86/16.10 (declare-const tptp.zero $$unsorted) % 15.86/16.10 (declare-const tptp.join (-> $$unsorted $$unsorted $$unsorted)) % 15.86/16.10 (define @t1 () (@var "X0" $$unsorted)) % 15.86/16.10 (define @t2 () (@var "X1" $$unsorted)) % 15.86/16.10 (define @t3 () (tptp.join @t1 @t2)) % 15.86/16.10 (define @t4 () (@list @t1 @t2)) % 15.86/16.10 (define @t5 () (@var "X2" $$unsorted)) % 15.86/16.10 (define @t6 () (@list @t1 @t2 @t5)) % 15.86/16.10 (define @t7 () (tptp.complement @t1)) % 15.86/16.10 (define @t8 () (tptp.complement @t2)) % 15.86/16.10 (define @t9 () (tptp.complement (tptp.join @t7 @t8))) % 15.86/16.10 (define @t10 () (tptp.composition @t1 @t2)) % 15.86/16.10 (define @t11 () (tptp.composition @t2 @t5)) % 15.86/16.10 (define @t12 () (@list @t1)) % 15.86/16.10 (define @t13 () (tptp.converse @t1)) % 15.86/16.10 (define @t14 () (tptp.converse @t13)) % 15.86/16.10 (define @t15 () (forall @t12 (= @t14 @t1))) % 15.86/16.10 (define @t16 () (tptp.converse @t2)) % 15.86/16.10 (define @t17 () (tptp.join @t13 @t16)) % 15.86/16.10 (define @t18 () (forall @t4 (= (tptp.converse @t3) @t17))) % 15.86/16.10 (define @t19 () (= @t3 @t2)) % 15.86/16.10 (define @t20 () (= @t17 @t16)) % 15.86/16.10 (define @t21 () (=> @t20 @t19)) % 15.86/16.10 (define @t22 () (=> @t19 @t20)) % 15.86/16.10 (define @t23 () (and @t22 @t21)) % 15.86/16.10 (define @t24 () (forall @t4 @t23)) % 15.86/16.10 (define @t25 () (not @t24)) % 15.86/16.10 (define @t26 () (@var "BOUND_VARIABLE_7515" $$unsorted)) % 15.86/16.10 (define @t27 () (tptp.converse @t26)) % 15.86/16.10 (define @t28 () (@var "BOUND_VARIABLE_7513" $$unsorted)) % 15.86/16.10 (define @t29 () (forall (@list @t28 @t26) (or (not (= @t26 (tptp.join @t28 @t26))) (= @t27 (tptp.join (tptp.converse @t28) @t27))))) % 15.86/16.10 (define @t30 () (@quantifiers_skolemize @t29 1)) % 15.86/16.10 (define @t31 () (@quantifiers_skolemize @t29 0)) % 15.86/16.10 (define @t32 () (tptp.join @t31 @t30)) % 15.86/16.10 (define @t33 () (= @t30 @t32)) % 15.86/16.10 (define @t34 () (tptp.converse @t30)) % 15.86/16.10 (define @t35 () (tptp.join (tptp.converse @t31) @t34)) % 15.86/16.10 (define @t36 () (= @t34 @t35)) % 15.86/16.10 (define @t37 () (not @t33)) % 15.86/16.10 (define @t38 () (or @t37 @t36)) % 15.86/16.10 (define @t39 () (tptp.converse @t32)) % 15.86/16.10 (define @t40 () (= @t39 @t35)) % 15.86/16.10 (define @t41 () (@list @t31 @t30)) % 15.86/16.10 (define @t42 () (= @t35 @t39)) % 15.86/16.10 (define @t43 () (@list false)) % 15.86/16.10 (define @t44 () (and @t33 @t42)) % 15.86/16.10 (define @t45 () (not @t38)) % 15.86/16.10 (define @t46 () (not @t29)) % 15.86/16.10 (define @t47 () (= @t2 @t3)) % 15.86/16.10 (define @t48 () (= @t16 @t17)) % 15.86/16.10 (define @t49 () (or (not @t48) @t47)) % 15.86/16.10 (define @t50 () (forall @t4 @t49)) % 15.86/16.10 (define @t51 () (@list @t1 @t2)) % 15.86/16.10 (define @t52 () (@var "BOUND_VARIABLE_7529" $$unsorted)) % 15.86/16.10 (define @t53 () (@var "BOUND_VARIABLE_7527" $$unsorted)) % 15.86/16.10 (define @t54 () (or (not @t47) @t48)) % 15.86/16.10 (define @t55 () (forall @t4 @t54)) % 15.86/16.10 (define @t56 () (and @t55 @t50)) % 15.86/16.10 (define @t57 () (and (=> @t47 @t48) (=> @t48 @t47))) % 15.86/16.10 (define @t58 () (tptp.converse @t52)) % 15.86/16.10 (define @t59 () (forall (@list @t53 @t52) (or (not (= @t58 (tptp.join (tptp.converse @t53) @t58))) (= @t52 (tptp.join @t53 @t52))))) % 15.86/16.10 (define @t60 () (not @t59)) % 15.86/16.10 (define @t61 () (@quantifiers_skolemize @t59 1)) % 15.86/16.10 (define @t62 () (@quantifiers_skolemize @t59 0)) % 15.86/16.10 (define @t63 () (= @t61 (tptp.join @t62 @t61))) % 15.86/16.10 (define @t64 () (tptp.converse @t61)) % 15.86/16.10 (define @t65 () (tptp.converse @t62)) % 15.86/16.10 (define @t66 () (tptp.join @t65 @t64)) % 15.86/16.10 (define @t67 () (= @t64 @t66)) % 15.86/16.10 (define @t68 () (not @t67)) % 15.86/16.10 (define @t69 () (or @t68 @t63)) % 15.86/16.10 (define @t70 () (not @t69)) % 15.86/16.10 (define @t71 () (@list true)) % 15.86/16.10 (define @t72 () (@list @t69)) % 15.86/16.10 (define @t73 () (not @t63)) % 15.86/16.10 (define @t74 () (tptp.converse @t64)) % 15.86/16.10 (define @t75 () (tptp.converse @t65)) % 15.86/16.10 (define @t76 () (tptp.join @t75 @t74)) % 15.86/16.10 (define @t77 () (tptp.converse @t66)) % 15.86/16.10 (define @t78 () (= @t77 @t76)) % 15.86/16.10 (define @t79 () (not @t78)) % 15.86/16.10 (define @t80 () (= @t61 @t74)) % 15.86/16.10 (define @t81 () (not @t80)) % 15.86/16.10 (define @t82 () (= @t62 @t75)) % 15.86/16.10 (define @t83 () (not @t82)) % 15.86/16.10 (define @t84 () (and @t78 @t79)) % 15.86/16.10 (assume @p1 (forall @t4 (= @t3 (tptp.join @t2 @t1)))) % 15.86/16.10 (assume @p2 (forall @t6 (= (tptp.join @t1 (tptp.join @t2 @t5)) (tptp.join @t3 @t5)))) % 15.86/16.10 (assume @p3 (forall @t4 (= @t1 (tptp.join @t9 (tptp.complement (tptp.join @t7 @t2)))))) % 15.86/16.10 (assume @p4 (forall @t4 (= (tptp.meet @t1 @t2) @t9))) % 15.86/16.10 (assume @p5 (forall @t6 (= (tptp.composition @t1 @t11) (tptp.composition @t10 @t5)))) % 15.86/16.10 (assume @p6 (forall @t12 (= (tptp.composition @t1 tptp.one) @t1))) % 15.86/16.10 (assume @p7 (forall @t6 (= (tptp.composition @t3 @t5) (tptp.join (tptp.composition @t1 @t5) @t11)))) % 15.86/16.10 (assume @p8 @t15) % 15.86/16.10 (assume @p9 @t18) % 15.86/16.10 (assume @p10 (forall @t4 (= (tptp.converse @t10) (tptp.composition @t16 @t13)))) % 15.86/16.10 (assume @p11 (forall @t4 (= (tptp.join (tptp.composition @t13 (tptp.complement @t10)) @t8) @t8))) % 15.86/16.10 (assume @p12 (forall @t12 (= tptp.top (tptp.join @t1 @t7)))) % 15.86/16.10 (assume @p13 (forall @t12 (= tptp.zero (tptp.meet @t1 @t7)))) % 15.86/16.10 (assume @p14 @t25) % 15.86/16.10 (assume @p15 true) % 15.86/16.10 (step @p16 :rule bool-double-not-elim :args (@t33)) % 15.86/16.10 (step @p17 :rule refl :args (@t38)) % 15.86/16.10 (step @p18 :rule nary_cong :premises (@p17 @p16) :args ((or @t38 (not @t37)))) % 15.86/16.10 (step @p19 :rule cnf_or_neg :args (@t38 0)) % 15.86/16.10 (step @p20 :rule eq_resolve :premises (@p19 @p18)) % 15.86/16.10 (step @p21 :rule reordering :premises (@p20) :args ((or @t33 @t38))) % 15.86/16.10 (step @p22 :rule cnf_or_neg :args (@t38 1)) % 15.86/16.10 (step @p23 :rule eq-symm :args (@t39 @t35)) % 15.86/16.10 (step @p24 :rule refl :args (@t18)) % 15.86/16.10 (step @p25 :rule cong :premises (@p24 @p23) :args ((=> @t18 @t40))) % 15.86/16.10 (assume-push @p163 @t18) % 15.86/16.10 (step @p27 :rule instantiate :premises (@p9) :args (@t41)) % 15.86/16.10 (step-pop @p164 :rule scope :premises (@p27)) % 15.86/16.10 (step @p28 :rule process_scope :premises (@p164) :args (@t40)) % 15.86/16.10 (step @p30 :rule eq_resolve :premises (@p28 @p25)) % 15.86/16.10 (step @p31 :rule implies_elim :premises (@p30)) % 15.86/16.10 (step @p32 :rule chain_m_resolution :premises (@p31 @p9) :args (@t42 @t43 (@list @t18))) % 15.86/16.10 (assume-push @p165 @t33) % 15.86/16.10 (assume-push @p166 @t42) % 15.86/16.10 (assume-push @p167 @t42) % 15.86/16.10 (assume-push @p168 @t33) % 15.86/16.10 (step @p27 :rule instantiate :premises (@p9) :args (@t41)) % 15.86/16.10 (step @p37 :rule cong :premises (@p165) :args (@t34)) % 15.86/16.10 (step @p38 :rule trans :premises (@p37 @p27)) % 15.86/16.10 (step-pop @p169 :rule scope :premises (@p38)) % 15.86/16.10 (step-pop @p170 :rule scope :premises (@p169)) % 15.86/16.10 (step @p39 :rule process_scope :premises (@p170) :args (@t36)) % 15.86/16.10 (step @p42 :rule and_intro :premises (@p32 @p165)) % 15.86/16.10 (step @p43 :rule modus_ponens :premises (@p42 @p39)) % 15.86/16.10 (step-pop @p171 :rule scope :premises (@p43)) % 15.86/16.10 (step-pop @p172 :rule scope :premises (@p171)) % 15.86/16.10 (step @p44 :rule process_scope :premises (@p172) :args (@t36)) % 15.86/16.10 (step @p47 :rule implies_elim :premises (@p44)) % 15.86/16.10 (step @p48 :rule cnf_and_neg :args (@t44)) % 15.86/16.10 (step @p49 :rule resolution :premises (@p48 @p47) :args (true @t44)) % 15.86/16.10 (step @p50 :rule reordering :premises (@p49) :args ((or @t37 @t36 (not @t42)))) % 15.86/16.10 (step @p51 :rule chain_m_resolution :premises (@p50 @p32 @p22 @p21) :args (@t38 (@list false true false) (@list @t42 @t36 @t33))) % 15.86/16.10 (step @p52 :rule refl :args (@t45)) % 15.86/16.10 (step @p53 :rule bool-double-not-elim :args (@t29)) % 15.86/16.10 (step @p54 :rule nary_cong :premises (@p53 @p52) :args ((or (not @t46) @t45))) % 15.86/16.10 (assume-push @p173 @t46) % 15.86/16.10 (step @p56 :rule skolemize :premises (@p173)) % 15.86/16.10 (step-pop @p174 :rule scope :premises (@p56)) % 15.86/16.10 (step @p57 :rule process_scope :premises (@p174) :args (@t45)) % 15.86/16.10 (step @p59 :rule implies_elim :premises (@p57)) % 15.86/16.10 (step @p60 :rule eq_resolve :premises (@p59 @p54)) % 15.86/16.10 (step @p61 :rule chain_m_resolution :premises (@p60 @p51) :args (@t29 @t43 (@list @t38))) % 15.86/16.10 (step @p62 :rule alpha_equiv :args (@t50 @t51 (@list @t53 @t52))) % 15.86/16.10 (step @p63 :rule alpha_equiv :args (@t55 @t51 (@list @t28 @t26))) % 15.86/16.10 (step @p64 :rule nary_cong :premises (@p63 @p62) :args (@t56)) % 15.86/16.10 (step @p65 :rule quant-miniscope-and :args ((= (forall @t4 (and @t54 @t49)) @t56))) % 15.86/16.10 (step @p66 :rule trans :premises (@p65 @p64)) % 15.86/16.10 (step @p67 :rule bool-impl-elim :args (@t48 @t47)) % 15.86/16.10 (step @p68 :rule bool-impl-elim :args (@t47 @t48)) % 15.86/16.10 (step @p69 :rule nary_cong :premises (@p68 @p67) :args (@t57)) % 15.86/16.10 (step @p70 :rule cong :premises (@p69) :args ((forall @t4 @t57))) % 15.86/16.10 (step @p71 :rule trans :premises (@p70 @p66)) % 15.86/16.10 (step @p72 :rule eq-symm :args (@t3 @t2)) % 15.86/16.10 (step @p73 :rule eq-symm :args (@t17 @t16)) % 15.86/16.10 (step @p74 :rule cong :premises (@p73 @p72) :args (@t21)) % 15.86/16.10 (step @p75 :rule cong :premises (@p72 @p73) :args (@t22)) % 15.86/16.10 (step @p76 :rule nary_cong :premises (@p75 @p74) :args (@t23)) % 15.86/16.10 (step @p77 :rule cong :premises (@p76) :args (@t24)) % 15.86/16.10 (step @p78 :rule trans :premises (@p77 @p71)) % 15.86/16.10 (step @p79 :rule cong :premises (@p78) :args (@t25)) % 15.86/16.10 (step @p80 :rule eq_resolve :premises (@p14 @p79)) % 15.86/16.10 (step @p81 :rule not_and :premises (@p80)) % 15.86/16.10 (step @p82 :rule chain_m_resolution :premises (@p81 @p61) :args (@t60 @t43 (@list @t29))) % 15.86/16.10 (step @p83 :rule refl :args (@t70)) % 15.86/16.10 (step @p84 :rule bool-double-not-elim :args (@t59)) % 15.86/16.10 (step @p85 :rule nary_cong :premises (@p84 @p83) :args ((or (not @t60) @t70))) % 15.86/16.10 (assume-push @p175 @t60) % 15.86/16.10 (step @p87 :rule skolemize :premises (@p175)) % 15.86/16.10 (step-pop @p176 :rule scope :premises (@p87)) % 15.86/16.10 (step @p88 :rule process_scope :premises (@p176) :args (@t70)) % 15.86/16.10 (step @p90 :rule implies_elim :premises (@p88)) % 15.86/16.10 (step @p91 :rule eq_resolve :premises (@p90 @p85)) % 15.86/16.10 (step @p92 :rule chain_m_resolution :premises (@p91 @p82) :args (@t70 @t71 (@list @t59))) % 15.86/16.10 (step @p93 :rule bool-double-not-elim :args (@t67)) % 15.86/16.10 (step @p94 :rule refl :args (@t69)) % 15.86/16.10 (step @p95 :rule nary_cong :premises (@p94 @p93) :args ((or @t69 (not @t68)))) % 15.86/16.10 (step @p96 :rule cnf_or_neg :args (@t69 0)) % 15.86/16.10 (step @p97 :rule eq_resolve :premises (@p96 @p95)) % 15.86/16.10 (step @p98 :rule reordering :premises (@p97) :args ((or @t67 @t69))) % 15.86/16.10 (step @p99 :rule chain_m_resolution :premises (@p98 @p92) :args (@t67 @t71 @t72)) % 15.86/16.10 (step @p100 :rule cnf_or_neg :args (@t69 1)) % 15.86/16.10 (step @p101 :rule chain_m_resolution :premises (@p100 @p92) :args (@t73 @t71 @t72)) % 15.86/16.10 (step @p102 :rule eq-symm :args (@t14 @t1)) % 15.86/16.10 (step @p103 :rule cong :premises (@p102) :args (@t15)) % 15.86/16.10 (step @p104 :rule eq_resolve :premises (@p8 @p103)) % 15.86/16.10 (step @p105 :rule instantiate :premises (@p104) :args ((@list @t62))) % 15.86/16.10 (step @p106 :rule instantiate :premises (@p104) :args ((@list @t61))) % 15.86/16.10 (step @p107 :rule instantiate :premises (@p9) :args ((@list @t65 @t64))) % 15.86/16.10 (step @p108 :rule refl :args (@t79)) % 15.86/16.10 (step @p109 :rule refl :args (@t81)) % 15.86/16.10 (step @p110 :rule refl :args (@t83)) % 15.86/16.10 (step @p111 :rule bool-double-not-elim :args (@t63)) % 15.86/16.10 (step @p112 :rule refl :args (@t68)) % 15.86/16.10 (step @p113 :rule nary_cong :premises (@p112 @p111 @p110 @p109 @p108) :args ((or @t68 (not @t73) @t83 @t81 @t79))) % 15.86/16.10 (assume-push @p177 @t78) % 15.86/16.10 (assume-push @p178 @t79) % 15.86/16.10 (step @p116 :rule evaluate :args ((= false true))) % 15.86/16.10 (step @p117 :rule true_intro :premises (@p107)) % 15.86/16.10 (step @p118 :rule false_intro :premises (@p178)) % 15.86/16.10 (step @p119 :rule symm :premises (@p118)) % 15.86/16.10 (step @p120 :rule trans :premises (@p119 @p117)) % 15.86/16.10 (step @p121 false :rule eq_resolve :premises (@p120 @p116)) % 15.86/16.10 (step-pop @p179 :rule scope :premises (@p121)) % 15.86/16.10 (step-pop @p180 :rule scope :premises (@p179)) % 15.86/16.10 (step @p122 :rule process_scope :premises (@p180) :args (false)) % 15.86/16.10 (assume-push @p181 @t67) % 15.86/16.10 (assume-push @p182 @t73) % 15.86/16.10 (assume-push @p183 @t82) % 15.86/16.10 (assume-push @p184 @t80) % 15.86/16.10 (assume-push @p185 @t78) % 15.86/16.10 (assume-push @p186 @t80) % 15.86/16.10 (assume-push @p187 @t67) % 15.86/16.10 (assume-push @p188 @t73) % 15.86/16.10 (assume-push @p189 @t82) % 15.86/16.10 (step @p134 :rule false_intro :premises (@p182)) % 15.86/16.10 (step @p135 :rule symm :premises (@p106)) % 15.86/16.10 (step @p136 :rule symm :premises (@p105)) % 15.86/16.10 (step @p137 :rule cong :premises (@p136 @p135) :args (@t76)) % 15.86/16.10 (step @p138 :rule symm :premises (@p181)) % 15.86/16.10 (step @p139 :rule cong :premises (@p138) :args (@t77)) % 15.86/16.10 (step @p140 :rule trans :premises (@p139 @p135)) % 15.86/16.10 (step @p141 :rule cong :premises (@p140 @p137) :args (@t78)) % 15.86/16.10 (step @p142 :rule trans :premises (@p141 @p134)) % 15.86/16.10 (step @p143 :rule false_elim :premises (@p142)) % 15.86/16.10 (step-pop @p190 :rule scope :premises (@p143)) % 15.86/16.10 (step-pop @p191 :rule scope :premises (@p190)) % 15.86/16.10 (step-pop @p192 :rule scope :premises (@p191)) % 15.86/16.10 (step-pop @p193 :rule scope :premises (@p192)) % 15.86/16.10 (step @p144 :rule process_scope :premises (@p193) :args (@t79)) % 15.86/16.10 (step @p149 :rule and_intro :premises (@p106 @p181 @p182 @p105)) % 15.86/16.10 (step @p150 :rule modus_ponens :premises (@p149 @p144)) % 15.86/16.10 (step @p151 :rule and_intro :premises (@p107 @p150)) % 15.86/16.10 (step-pop @p194 :rule scope :premises (@p151)) % 15.86/16.10 (step-pop @p195 :rule scope :premises (@p194)) % 15.86/16.10 (step-pop @p196 :rule scope :premises (@p195)) % 15.86/16.10 (step-pop @p197 :rule scope :premises (@p196)) % 15.86/16.10 (step-pop @p198 :rule scope :premises (@p197)) % 15.86/16.10 (step @p152 :rule process_scope :premises (@p198) :args (@t84)) % 15.86/16.10 (step @p158 :rule implies_elim :premises (@p152)) % 15.86/16.10 (step @p159 :rule resolution :premises (@p158 @p122) :args (true @t84)) % 15.86/16.10 (step @p160 :rule not_and :premises (@p159)) % 15.86/16.10 (step @p161 :rule eq_resolve :premises (@p160 @p113)) % 15.86/16.10 (step @p162 false :rule chain_m_resolution :premises (@p161 @p107 @p106 @p105 @p101 @p99) :args (false (@list false false false true false) (@list @t78 @t80 @t82 @t63 @t67))) % 15.86/16.10 ) % 15.86/16.10 % SZS output end Proof % 15.86/16.10 % cvc5 exiting %------------------------------------------------------------------------------