%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYN349+1 : TPTP v9.2.1. Released v2.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/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 09:08:38 AM UTC 2026 % Result : Theorem 0.40s 0.58s % Output : Proof 0.40s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.13 % Problem : SYN349+1 : TPTP v9.2.1. Released v2.0.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n009.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 23:24:29 EDT 2026 % 0.17/0.35 % CPUTime : % 0.33/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.40/0.58 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.40/0.58 % SZS status Theorem % 0.40/0.58 % SZS output start Proof % 0.40/0.58 ( % 0.40/0.58 (declare-sort $$unsorted 0) % 0.40/0.58 (declare-const tptp.big_f (-> $$unsorted $$unsorted Bool)) % 0.40/0.58 (define @t1 () (@var "X2" $$unsorted)) % 0.40/0.58 (define @t2 () (@var "X4" $$unsorted)) % 0.40/0.58 (define @t3 () (tptp.big_f @t2 @t1)) % 0.40/0.58 (define @t4 () (@var "X3" $$unsorted)) % 0.40/0.58 (define @t5 () (tptp.big_f @t4 @t2)) % 0.40/0.58 (define @t6 () (tptp.big_f @t2 @t4)) % 0.40/0.58 (define @t7 () (@var "X1" $$unsorted)) % 0.40/0.58 (define @t8 () (tptp.big_f @t7 @t2)) % 0.40/0.58 (define @t9 () (= (= (= @t8 @t6) @t5) @t3)) % 0.40/0.58 (define @t10 () (tptp.big_f @t1 @t2)) % 0.40/0.58 (define @t11 () (= @t8 @t10)) % 0.40/0.58 (define @t12 () (@list @t2)) % 0.40/0.58 (define @t13 () (forall @t12 (=> @t11 @t9))) % 0.40/0.58 (define @t14 () (@list @t4)) % 0.40/0.58 (define @t15 () (exists @t14 @t13)) % 0.40/0.58 (define @t16 () (@list @t1)) % 0.40/0.58 (define @t17 () (forall @t16 @t15)) % 0.40/0.58 (define @t18 () (@list @t7)) % 0.40/0.58 (define @t19 () (exists @t18 @t17)) % 0.40/0.58 (define @t20 () (not @t19)) % 0.40/0.58 (define @t21 () (not @t8)) % 0.40/0.58 (define @t22 () (forall @t12 (or (= @t10 @t21) @t9))) % 0.40/0.58 (define @t23 () (not (forall @t14 (not @t22)))) % 0.40/0.58 (define @t24 () (forall @t16 @t23)) % 0.40/0.58 (define @t25 () (forall @t18 (not @t24))) % 0.40/0.58 (define @t26 () (or (= @t21 @t10) @t9)) % 0.40/0.58 (define @t27 () (@const 0 $$unsorted)) % 0.40/0.58 (define @t28 () (tptp.big_f @t27 @t2)) % 0.40/0.58 (define @t29 () (= @t28 @t6)) % 0.40/0.58 (define @t30 () (= @t29 @t5)) % 0.40/0.58 (define @t31 () (not @t28)) % 0.40/0.58 (define @t32 () (= @t10 @t31)) % 0.40/0.58 (define @t33 () (or @t32 (= @t30 @t3))) % 0.40/0.58 (define @t34 () (forall @t12 @t33)) % 0.40/0.58 (define @t35 () (not @t34)) % 0.40/0.58 (define @t36 () (forall @t14 @t35)) % 0.40/0.58 (define @t37 () (not @t36)) % 0.40/0.58 (define @t38 () (forall @t16 @t37)) % 0.40/0.58 (define @t39 () (not @t38)) % 0.40/0.58 (define @t40 () (= @t5 (= @t6 @t28))) % 0.40/0.58 (define @t41 () (forall @t16 (not (forall @t14 (not (forall @t12 (or @t32 (= @t3 @t40)))))))) % 0.40/0.58 (define @t42 () (not @t41)) % 0.40/0.58 (define @t43 () (@list false)) % 0.40/0.58 (define @t44 () (@quantifiers_skolemize @t41 0)) % 0.40/0.58 (define @t45 () (tptp.big_f @t2 @t44)) % 0.40/0.58 (define @t46 () (tptp.big_f @t44 @t2)) % 0.40/0.58 (define @t47 () (= @t31 @t46)) % 0.40/0.58 (define @t48 () (forall @t14 (not (forall @t12 (or @t47 (= @t40 @t45)))))) % 0.40/0.58 (define @t49 () (or (= @t46 @t31) (= @t45 @t40))) % 0.40/0.58 (define @t50 () (forall @t12 @t49)) % 0.40/0.58 (define @t51 () (not @t50)) % 0.40/0.58 (define @t52 () (forall @t14 @t51)) % 0.40/0.58 (define @t53 () (not (not @t52))) % 0.40/0.58 (define @t54 () (@list true)) % 0.40/0.58 (define @t55 () (= @t46 (= @t45 @t28))) % 0.40/0.58 (define @t56 () (or @t47 (= @t55 @t45))) % 0.40/0.58 (define @t57 () (forall @t12 @t56)) % 0.40/0.58 (define @t58 () (not @t57)) % 0.40/0.58 (define @t59 () (forall @t12 (or @t47 (= @t45 (= @t46 (= @t28 @t45)))))) % 0.40/0.58 (define @t60 () (not @t59)) % 0.40/0.58 (define @t61 () (@quantifiers_skolemize @t59 0)) % 0.40/0.58 (define @t62 () (tptp.big_f @t61 @t44)) % 0.40/0.58 (define @t63 () (tptp.big_f @t27 @t61)) % 0.40/0.58 (define @t64 () (= @t63 @t62)) % 0.40/0.58 (define @t65 () (tptp.big_f @t44 @t61)) % 0.40/0.58 (define @t66 () (= @t65 @t64)) % 0.40/0.58 (define @t67 () (= @t62 @t66)) % 0.40/0.58 (define @t68 () (not @t63)) % 0.40/0.58 (define @t69 () (= @t68 @t65)) % 0.40/0.58 (define @t70 () (or @t69 @t67)) % 0.40/0.58 (define @t71 () (@list @t70)) % 0.40/0.58 (define @t72 () (not @t70)) % 0.40/0.58 (define @t73 () (not @t62)) % 0.40/0.58 (define @t74 () (not @t65)) % 0.40/0.58 (define @t75 () (not @t64)) % 0.40/0.58 (define @t76 () (not @t66)) % 0.40/0.58 (define @t77 () (@list true true)) % 0.40/0.58 (assume @p1 @t20) % 0.40/0.58 (assume @p2 true) % 0.40/0.58 (step @p3 :rule bool-double-not-elim :args (@t25)) % 0.40/0.58 (step @p4 :rule exists-elim :args ((= (exists @t18 @t24) (not @t25)))) % 0.40/0.58 (step @p5 :rule exists-elim :args ((= (exists @t14 @t22) @t23))) % 0.40/0.58 (step @p6 :rule refl :args (@t9)) % 0.40/0.58 (step @p7 :rule eq-symm :args (@t21 @t10)) % 0.40/0.58 (step @p8 :rule nary_cong :premises (@p7 @p6) :args (@t26)) % 0.40/0.58 (step @p9 :rule cong :premises (@p8) :args ((forall @t12 @t26))) % 0.40/0.58 (step @p10 :rule refl :args (@t9)) % 0.40/0.58 (step @p11 :rule bool-not-eq-elim1 :args (@t8 @t10)) % 0.40/0.58 (step @p12 :rule nary_cong :premises (@p11 @p10) :args ((or (not @t11) @t9))) % 0.40/0.58 (step @p13 :rule bool-impl-elim :args (@t11 @t9)) % 0.40/0.58 (step @p14 :rule trans :premises (@p13 @p12)) % 0.40/0.58 (step @p15 :rule cong :premises (@p14) :args (@t13)) % 0.40/0.58 (step @p16 :rule trans :premises (@p15 @p9)) % 0.40/0.58 (step @p17 :rule cong :premises (@p16) :args (@t15)) % 0.40/0.58 (step @p18 :rule trans :premises (@p17 @p5)) % 0.40/0.58 (step @p19 :rule cong :premises (@p18) :args (@t17)) % 0.40/0.58 (step @p20 :rule cong :premises (@p19) :args (@t19)) % 0.40/0.58 (step @p21 :rule trans :premises (@p20 @p4)) % 0.40/0.58 (step @p22 :rule cong :premises (@p21) :args (@t20)) % 0.40/0.58 (step @p23 :rule trans :premises (@p22 @p3)) % 0.40/0.58 (step @p24 :rule eq_resolve :premises (@p1 @p23)) % 0.40/0.58 (step @p25 :rule eq-symm :args (@t28 @t6)) % 0.40/0.58 (step @p26 :rule refl :args (@t5)) % 0.40/0.58 (step @p27 :rule cong :premises (@p26 @p25) :args ((= @t5 @t29))) % 0.40/0.58 (step @p28 :rule eq-symm :args (@t29 @t5)) % 0.40/0.58 (step @p29 :rule trans :premises (@p28 @p27)) % 0.40/0.58 (step @p30 :rule refl :args (@t3)) % 0.40/0.58 (step @p31 :rule cong :premises (@p30 @p29) :args ((= @t3 @t30))) % 0.40/0.58 (step @p32 :rule eq-symm :args (@t30 @t3)) % 0.40/0.58 (step @p33 :rule trans :premises (@p32 @p31)) % 0.40/0.58 (step @p34 :rule refl :args (@t32)) % 0.40/0.58 (step @p35 :rule nary_cong :premises (@p34 @p33) :args (@t33)) % 0.40/0.58 (step @p36 :rule cong :premises (@p35) :args (@t34)) % 0.40/0.58 (step @p37 :rule cong :premises (@p36) :args (@t35)) % 0.40/0.58 (step @p38 :rule cong :premises (@p37) :args (@t36)) % 0.40/0.58 (step @p39 :rule cong :premises (@p38) :args (@t37)) % 0.40/0.58 (step @p40 :rule cong :premises (@p39) :args (@t38)) % 0.40/0.58 (step @p41 :rule cong :premises (@p40) :args (@t39)) % 0.40/0.58 (step @p42 :rule refl :args (@t25)) % 0.40/0.58 (step @p43 :rule cong :premises (@p42 @p41) :args ((=> @t25 @t39))) % 0.40/0.58 (assume-push @p138 @t25) % 0.40/0.58 (step @p45 :rule instantiate :premises (@p24) :args ((@list @t27))) % 0.40/0.58 (step-pop @p139 :rule scope :premises (@p45)) % 0.40/0.58 (step @p46 :rule process_scope :premises (@p139) :args (@t39)) % 0.40/0.58 (step @p48 :rule eq_resolve :premises (@p46 @p43)) % 0.40/0.58 (step @p49 :rule implies_elim :premises (@p48)) % 0.40/0.58 (step @p50 :rule chain_m_resolution :premises (@p49 @p24) :args (@t42 @t43 (@list @t25))) % 0.40/0.58 (step @p51 :rule refl :args (@t48)) % 0.40/0.58 (step @p52 :rule bool-double-not-elim :args (@t41)) % 0.40/0.58 (step @p53 :rule nary_cong :premises (@p52 @p51) :args ((or (not @t42) @t48))) % 0.40/0.58 (step @p54 :rule eq-symm :args (@t45 @t40)) % 0.40/0.58 (step @p55 :rule eq-symm :args (@t46 @t31)) % 0.40/0.58 (step @p56 :rule nary_cong :premises (@p55 @p54) :args (@t49)) % 0.40/0.58 (step @p57 :rule cong :premises (@p56) :args (@t50)) % 0.40/0.58 (step @p58 :rule cong :premises (@p57) :args (@t51)) % 0.40/0.58 (step @p59 :rule cong :premises (@p58) :args (@t52)) % 0.40/0.58 (step @p60 :rule bool-double-not-elim :args (@t52)) % 0.40/0.58 (step @p61 :rule trans :premises (@p60 @p59)) % 0.40/0.58 (step @p62 :rule refl :args (@t42)) % 0.40/0.58 (step @p63 :rule cong :premises (@p62 @p61) :args ((=> @t42 @t53))) % 0.40/0.58 (assume-push @p140 @t42) % 0.40/0.58 (step @p65 :rule skolemize :premises (@p50)) % 0.40/0.58 (step-pop @p141 :rule scope :premises (@p65)) % 0.40/0.58 (step @p66 :rule process_scope :premises (@p141) :args (@t53)) % 0.40/0.58 (step @p68 :rule eq_resolve :premises (@p66 @p63)) % 0.40/0.58 (step @p69 :rule implies_elim :premises (@p68)) % 0.40/0.58 (step @p70 :rule eq_resolve :premises (@p69 @p53)) % 0.40/0.58 (step @p71 :rule chain_m_resolution :premises (@p70 @p50) :args (@t48 @t54 (@list @t41))) % 0.40/0.58 (step @p72 :rule eq-symm :args (@t45 @t28)) % 0.40/0.58 (step @p73 :rule refl :args (@t46)) % 0.40/0.58 (step @p74 :rule cong :premises (@p73 @p72) :args (@t55)) % 0.40/0.58 (step @p75 :rule refl :args (@t45)) % 0.40/0.58 (step @p76 :rule cong :premises (@p75 @p74) :args ((= @t45 @t55))) % 0.40/0.58 (step @p77 :rule eq-symm :args (@t55 @t45)) % 0.40/0.58 (step @p78 :rule trans :premises (@p77 @p76)) % 0.40/0.58 (step @p79 :rule refl :args (@t47)) % 0.40/0.58 (step @p80 :rule nary_cong :premises (@p79 @p78) :args (@t56)) % 0.40/0.58 (step @p81 :rule cong :premises (@p80) :args (@t57)) % 0.40/0.58 (step @p82 :rule cong :premises (@p81) :args (@t58)) % 0.40/0.58 (step @p83 :rule cong :premises (@p51 @p82) :args ((=> @t48 @t58))) % 0.40/0.58 (assume-push @p142 @t48) % 0.40/0.58 (step @p85 :rule instantiate :premises (@p71) :args ((@list @t44))) % 0.40/0.58 (step-pop @p143 :rule scope :premises (@p85)) % 0.40/0.58 (step @p86 :rule process_scope :premises (@p143) :args (@t58)) % 0.40/0.58 (step @p88 :rule eq_resolve :premises (@p86 @p83)) % 0.40/0.58 (step @p89 :rule implies_elim :premises (@p88)) % 0.40/0.58 (step @p90 :rule chain_m_resolution :premises (@p89 @p71) :args (@t60 @t43 (@list @t48))) % 0.40/0.58 (step @p91 :rule skolemize :premises (@p90)) % 0.40/0.58 (step @p92 :rule cnf_or_neg :args (@t70 1)) % 0.40/0.58 (step @p93 :rule chain_m_resolution :premises (@p92 @p91) :args ((not @t67) @t54 @t71)) % 0.40/0.58 (step @p94 :rule cnf_equiv_neg1 :args (@t67)) % 0.40/0.58 (step @p95 :rule reordering :premises (@p94) :args ((or @t62 @t66 @t67))) % 0.40/0.58 (step @p96 :rule refl :args (@t72)) % 0.40/0.58 (step @p97 :rule bool-double-not-elim :args (@t59)) % 0.40/0.58 (step @p98 :rule nary_cong :premises (@p97 @p96) :args ((or (not @t60) @t72))) % 0.40/0.58 (assume-push @p144 @t60) % 0.40/0.58 (step-pop @p145 :rule scope :premises (@p91)) % 0.40/0.58 (step @p100 :rule process_scope :premises (@p145) :args (@t72)) % 0.40/0.58 (step @p102 :rule implies_elim :premises (@p100)) % 0.40/0.58 (step @p103 :rule eq_resolve :premises (@p102 @p98)) % 0.40/0.58 (step @p104 :rule cnf_equiv_neg1 :args (@t66)) % 0.40/0.58 (step @p105 :rule reordering :premises (@p104) :args ((or @t65 @t64 @t66))) % 0.40/0.58 (step @p106 :rule cnf_equiv_neg2 :args (@t64)) % 0.40/0.58 (step @p107 :rule reordering :premises (@p106) :args ((or @t68 @t64 @t73))) % 0.40/0.58 (step @p108 :rule cnf_or_neg :args (@t70 0)) % 0.40/0.58 (step @p109 :rule chain_m_resolution :premises (@p108 @p91) :args ((not @t69) @t54 @t71)) % 0.40/0.58 (step @p110 :rule refl :args (@t74)) % 0.40/0.58 (step @p111 :rule bool-double-not-elim :args (@t63)) % 0.40/0.58 (step @p112 :rule refl :args (@t69)) % 0.40/0.58 (step @p113 :rule nary_cong :premises (@p112 @p111 @p110) :args ((or @t69 (not @t68) @t74))) % 0.40/0.58 (step @p114 :rule cnf_equiv_neg2 :args (@t69)) % 0.40/0.58 (step @p115 :rule eq_resolve :premises (@p114 @p113)) % 0.40/0.58 (step @p116 :rule reordering :premises (@p115) :args ((or @t63 @t69 @t74))) % 0.40/0.58 (step @p117 :rule chain_m_resolution :premises (@p116 @p109 @p107 @p105 @p95 @p92 @p103 @p89 @p70 @p49 @p24) :args ((or @t64 @t66) (@list true true false false true true true false true false) (@list @t69 @t63 @t65 @t62 @t67 @t70 @t59 @t48 @t41 @t25))) % 0.40/0.58 (step @p118 :rule cnf_equiv_neg2 :args (@t66)) % 0.40/0.58 (step @p119 :rule cnf_equiv_pos2 :args (@t64)) % 0.40/0.58 (step @p120 :rule reordering :premises (@p119) :args ((or @t63 @t73 @t75))) % 0.40/0.58 (step @p121 :rule cnf_equiv_neg1 :args (@t69)) % 0.40/0.58 (step @p122 :rule reordering :premises (@p121) :args ((or @t68 @t65 @t69))) % 0.40/0.58 (step @p123 :rule chain_m_resolution :premises (@p122 @p109 @p120 @p118 @p117 @p95 @p93) :args (@t66 (@list true false true false false true) (@list @t69 @t63 @t65 @t64 @t62 @t67))) % 0.40/0.58 (step @p124 :rule cnf_equiv_neg2 :args (@t67)) % 0.40/0.58 (step @p125 :rule chain_m_resolution :premises (@p124 @p93 @p123) :args (@t73 (@list true false) (@list @t67 @t66))) % 0.40/0.58 (step @p126 :rule cnf_equiv_pos1 :args (@t64)) % 0.40/0.58 (step @p127 :rule reordering :premises (@p126) :args ((or @t68 @t62 @t75))) % 0.40/0.58 (step @p128 :rule cnf_equiv_pos1 :args (@t66)) % 0.40/0.58 (step @p129 :rule reordering :premises (@p128) :args ((or @t64 @t74 @t76))) % 0.40/0.58 (step @p130 :rule chain_m_resolution :premises (@p129 @p123 @p127 @p125 @p122 @p109) :args (@t68 (@list false true true false true) (@list @t66 @t64 @t62 @t65 @t69))) % 0.40/0.58 (step @p131 :rule chain_m_resolution :premises (@p116 @p130 @p109) :args (@t74 @t77 (@list @t63 @t69))) % 0.40/0.58 (step @p132 :rule cnf_equiv_neg1 :args (@t64)) % 0.40/0.58 (step @p133 :rule reordering :premises (@p132) :args ((or @t63 @t62 @t64))) % 0.40/0.58 (step @p134 :rule chain_m_resolution :premises (@p133 @p130 @p125) :args (@t64 @t77 (@list @t63 @t62))) % 0.40/0.58 (step @p135 :rule cnf_equiv_pos2 :args (@t66)) % 0.40/0.58 (step @p136 :rule reordering :premises (@p135) :args ((or @t65 @t75 @t76))) % 0.40/0.58 (step @p137 false :rule chain_m_resolution :premises (@p136 @p134 @p131 @p123) :args (false (@list false true false) (@list @t64 @t65 @t66))) % 0.40/0.58 ) % 0.40/0.58 % SZS output end Proof % 0.40/0.58 % cvc5 exiting %------------------------------------------------------------------------------