%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYN074-1 : TPTP v9.2.1. Released v1.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n011.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 09:08:00 AM UTC 2026 % Result : Unsatisfiable 0.39s 0.58s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : SYN074-1 : TPTP v9.2.1. Released v1.0.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n011.cluster.edu % 0.18/0.35 % Model : x86_64 x86_64 % 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.35 % Memory : 8042.1875MB % 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.35 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Tue Jun 2 23:19:50 EDT 2026 % 0.18/0.35 % CPUTime : % 0.33/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.33/0.52 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.39/0.58 % SZS status Unsatisfiable % 0.39/0.58 % SZS output start Proof % 0.39/0.59 ( % 0.39/0.59 (declare-sort $$unsorted 0) % 0.39/0.59 (declare-const tptp.h (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.59 (declare-const tptp.g (-> $$unsorted $$unsorted)) % 0.39/0.59 (declare-const tptp.b $$unsorted) % 0.39/0.59 (declare-const tptp.big_f (-> $$unsorted $$unsorted Bool)) % 0.39/0.59 (declare-const tptp.f (-> $$unsorted $$unsorted)) % 0.39/0.59 (declare-const tptp.a $$unsorted) % 0.39/0.59 (define @t1 () (@var "X" $$unsorted)) % 0.39/0.59 (define @t2 () (= @t1 tptp.a)) % 0.39/0.59 (define @t3 () (@var "Y" $$unsorted)) % 0.39/0.59 (define @t4 () (tptp.big_f @t1 @t3)) % 0.39/0.59 (define @t5 () (not @t4)) % 0.39/0.59 (define @t6 () (or @t5 @t2)) % 0.39/0.59 (define @t7 () (@list @t1 @t3)) % 0.39/0.59 (define @t8 () (forall @t7 @t6)) % 0.39/0.59 (define @t9 () (= @t3 tptp.b)) % 0.39/0.59 (define @t10 () (forall @t7 (or @t5 @t9))) % 0.39/0.59 (define @t11 () (not @t9)) % 0.39/0.59 (define @t12 () (not @t2)) % 0.39/0.59 (define @t13 () (or @t12 @t11 @t4)) % 0.39/0.59 (define @t14 () (forall @t7 @t13)) % 0.39/0.59 (define @t15 () (tptp.f @t1)) % 0.39/0.59 (define @t16 () (= @t15 @t1)) % 0.39/0.59 (define @t17 () (tptp.g @t1)) % 0.39/0.59 (define @t18 () (= @t3 @t17)) % 0.39/0.59 (define @t19 () (tptp.big_f @t15 @t3)) % 0.39/0.59 (define @t20 () (not @t19)) % 0.39/0.59 (define @t21 () (@var "Z" $$unsorted)) % 0.39/0.59 (define @t22 () (tptp.h @t1 @t21)) % 0.39/0.59 (define @t23 () (= @t22 @t21)) % 0.39/0.59 (define @t24 () (tptp.big_f @t15 @t22)) % 0.39/0.59 (define @t25 () (@list @t1 @t3 @t21)) % 0.39/0.59 (define @t26 () (not @t24)) % 0.39/0.59 (define @t27 () (not @t23)) % 0.39/0.59 (define @t28 () (not @t18)) % 0.39/0.59 (define @t29 () (@list @t3 @t1 @t21)) % 0.39/0.59 (define @t30 () (or @t28 @t19 @t16)) % 0.39/0.59 (define @t31 () (@list @t3 @t1)) % 0.39/0.59 (define @t32 () (forall @t31 @t30)) % 0.39/0.59 (define @t33 () (not @t16)) % 0.39/0.59 (define @t34 () (or @t33 @t24 @t23)) % 0.39/0.59 (define @t35 () (@list @t1 @t21)) % 0.39/0.59 (define @t36 () (forall @t35 @t34)) % 0.39/0.59 (define @t37 () (or @t33 @t27 @t26)) % 0.39/0.59 (define @t38 () (forall @t35 @t37)) % 0.39/0.59 (define @t39 () (tptp.big_f tptp.a tptp.b)) % 0.39/0.59 (define @t40 () (not (= tptp.b tptp.b))) % 0.39/0.59 (define @t41 () (or @t40 @t39)) % 0.39/0.59 (define @t42 () (tptp.big_f tptp.a @t3)) % 0.39/0.59 (define @t43 () (or @t11 @t11 @t42)) % 0.39/0.59 (define @t44 () (@list @t3)) % 0.39/0.59 (define @t45 () (or @t11 @t42)) % 0.39/0.59 (define @t46 () (not (= tptp.a tptp.a))) % 0.39/0.59 (define @t47 () (or @t46 @t11 @t42)) % 0.39/0.59 (define @t48 () (not (= tptp.a @t1))) % 0.39/0.59 (define @t49 () (@list @t1)) % 0.39/0.59 (define @t50 () (or @t48 @t48 @t11 @t4)) % 0.39/0.59 (define @t51 () (or @t48 @t11 @t4)) % 0.39/0.59 (define @t52 () (forall @t49 @t51)) % 0.39/0.59 (define @t53 () (forall @t44 @t52)) % 0.39/0.59 (define @t54 () (forall @t31 @t51)) % 0.39/0.59 (define @t55 () (= @t1 @t15)) % 0.39/0.59 (define @t56 () (tptp.big_f @t15 @t17)) % 0.39/0.59 (define @t57 () (not (= @t17 @t17))) % 0.39/0.59 (define @t58 () (or @t57 @t56 @t55)) % 0.39/0.59 (define @t59 () (or @t28 @t28 @t19 @t55)) % 0.39/0.59 (define @t60 () (or @t28 @t19 @t55)) % 0.39/0.59 (define @t61 () (forall @t44 @t60)) % 0.39/0.59 (define @t62 () (forall @t49 @t61)) % 0.39/0.59 (define @t63 () (forall @t7 @t60)) % 0.39/0.59 (define @t64 () (tptp.f tptp.a)) % 0.39/0.59 (define @t65 () (= tptp.a @t64)) % 0.39/0.59 (define @t66 () (tptp.g tptp.a)) % 0.39/0.59 (define @t67 () (tptp.big_f @t64 @t66)) % 0.39/0.59 (define @t68 () (or @t67 @t65)) % 0.39/0.59 (define @t69 () (not @t67)) % 0.39/0.59 (define @t70 () (or @t69 @t65)) % 0.39/0.59 (define @t71 () (@list false false false)) % 0.39/0.59 (define @t72 () (@list tptp.a tptp.b)) % 0.39/0.59 (define @t73 () (tptp.h tptp.a tptp.b)) % 0.39/0.59 (define @t74 () (= tptp.b @t73)) % 0.39/0.59 (define @t75 () (tptp.big_f @t64 @t73)) % 0.39/0.59 (define @t76 () (not @t65)) % 0.39/0.59 (define @t77 () (or @t76 @t75 @t74)) % 0.39/0.59 (define @t78 () (not @t75)) % 0.39/0.59 (define @t79 () (or @t78 (= @t73 tptp.b))) % 0.39/0.59 (define @t80 () (or @t78 @t74)) % 0.39/0.59 (define @t81 () (not @t74)) % 0.39/0.59 (define @t82 () (or @t76 @t81 @t78)) % 0.39/0.59 (define @t83 () (and @t39 @t65 @t74)) % 0.39/0.59 (assume @p1 @t8) % 0.39/0.59 (assume @p2 @t10) % 0.39/0.59 (assume @p3 @t14) % 0.39/0.59 (assume @p4 (forall @t7 (or @t20 @t18 @t16))) % 0.39/0.59 (assume @p5 (forall @t25 (or @t20 @t18 @t24 @t23))) % 0.39/0.59 (assume @p6 (forall @t25 (or @t20 @t18 @t27 @t26))) % 0.39/0.59 (assume @p7 (forall @t29 (or @t28 @t19 @t24 @t23))) % 0.39/0.59 (assume @p8 @t32) % 0.39/0.59 (assume @p9 (forall @t29 (or @t28 @t19 @t27 @t26))) % 0.39/0.59 (assume @p10 @t36) % 0.39/0.59 (assume @p11 @t38) % 0.39/0.59 (step @p12 :rule aci_norm :args ((= (or false @t39) @t39))) % 0.39/0.59 (step @p13 :rule refl :args (@t39)) % 0.39/0.59 (step @p14 :rule evaluate :args ((not true))) % 0.39/0.59 (step @p15 :rule eq-refl :args (tptp.b)) % 0.39/0.59 (step @p16 :rule cong :premises (@p15) :args (@t40)) % 0.39/0.59 (step @p17 :rule trans :premises (@p16 @p14)) % 0.39/0.59 (step @p18 :rule nary_cong :premises (@p17 @p13) :args (@t41)) % 0.39/0.59 (step @p19 :rule trans :premises (@p18 @p12)) % 0.39/0.59 (step @p20 :rule quant-var-elim-eq :args ((= (forall @t44 @t43) @t41))) % 0.39/0.59 (step @p21 :rule aci_norm :args ((= @t45 @t43))) % 0.39/0.59 (step @p22 :rule cong :premises (@p21) :args ((forall @t44 @t45))) % 0.39/0.59 (step @p23 :rule trans :premises (@p22 @p20)) % 0.39/0.59 (step @p24 :rule trans :premises (@p23 @p19)) % 0.39/0.59 (step @p25 :rule aci_norm :args ((= (or false @t11 @t42) @t45))) % 0.39/0.59 (step @p26 :rule refl :args (@t42)) % 0.39/0.59 (step @p27 :rule refl :args (@t11)) % 0.39/0.59 (step @p28 :rule eq-refl :args (tptp.a)) % 0.39/0.59 (step @p29 :rule cong :premises (@p28) :args (@t46)) % 0.39/0.59 (step @p30 :rule trans :premises (@p29 @p14)) % 0.39/0.59 (step @p31 :rule nary_cong :premises (@p30 @p27 @p26) :args (@t47)) % 0.39/0.59 (step @p32 :rule trans :premises (@p31 @p25)) % 0.39/0.59 (step @p33 :rule cong :premises (@p32) :args ((forall @t44 @t47))) % 0.39/0.59 (step @p34 :rule trans :premises (@p33 @p24)) % 0.39/0.59 (step @p35 :rule quant-var-elim-eq :args ((= (forall @t49 (or @t12 @t48 @t11 @t4)) @t47))) % 0.39/0.59 (step @p36 :rule refl :args (@t4)) % 0.39/0.59 (step @p37 :rule refl :args (@t11)) % 0.39/0.59 (step @p38 :rule refl :args (@t48)) % 0.39/0.59 (step @p39 :rule eq-symm :args (tptp.a @t1)) % 0.39/0.59 (step @p40 :rule cong :premises (@p39) :args (@t48)) % 0.39/0.59 (step @p41 :rule nary_cong :premises (@p40 @p38 @p37 @p36) :args (@t50)) % 0.39/0.59 (step @p42 :rule aci_norm :args ((= @t51 @t50))) % 0.39/0.59 (step @p43 :rule trans :premises (@p42 @p41)) % 0.39/0.59 (step @p44 :rule cong :premises (@p43) :args (@t52)) % 0.39/0.59 (step @p45 :rule trans :premises (@p44 @p35)) % 0.39/0.59 (step @p46 :rule cong :premises (@p45) :args (@t53)) % 0.39/0.59 (step @p47 :rule quant-merge-prenex :args ((= @t53 @t54))) % 0.39/0.59 (step @p48 :rule symm :premises (@p47)) % 0.39/0.59 (step @p49 :rule quant_var_reordering :args ((= (forall @t7 @t51) @t54))) % 0.39/0.59 (step @p50 :rule trans :premises (@p49 @p48 @p46)) % 0.39/0.59 (step @p51 :rule trans :premises (@p50 @p34)) % 0.39/0.59 (step @p52 :rule refl :args (@t4)) % 0.39/0.59 (step @p53 :rule eq-symm :args (@t1 tptp.a)) % 0.39/0.59 (step @p54 :rule cong :premises (@p53) :args (@t12)) % 0.39/0.59 (step @p55 :rule nary_cong :premises (@p54 @p27 @p52) :args (@t13)) % 0.39/0.59 (step @p56 :rule cong :premises (@p55) :args (@t14)) % 0.39/0.59 (step @p57 :rule trans :premises (@p56 @p51)) % 0.39/0.59 (step @p58 :rule eq_resolve :premises (@p3 @p57)) % 0.39/0.59 (step @p59 :rule aci_norm :args ((= (or false @t56 @t55) (or @t56 @t55)))) % 0.39/0.59 (step @p60 :rule refl :args (@t55)) % 0.39/0.59 (step @p61 :rule refl :args (@t56)) % 0.39/0.59 (step @p62 :rule eq-refl :args (@t17)) % 0.39/0.59 (step @p63 :rule cong :premises (@p62) :args (@t57)) % 0.39/0.59 (step @p64 :rule trans :premises (@p63 @p14)) % 0.39/0.59 (step @p65 :rule nary_cong :premises (@p64 @p61 @p60) :args (@t58)) % 0.39/0.59 (step @p66 :rule trans :premises (@p65 @p59)) % 0.39/0.59 (step @p67 :rule cong :premises (@p66) :args ((forall @t49 @t58))) % 0.39/0.59 (step @p68 :rule quant-var-elim-eq :args ((= (forall @t44 @t59) @t58))) % 0.39/0.59 (step @p69 :rule aci_norm :args ((= @t60 @t59))) % 0.39/0.59 (step @p70 :rule cong :premises (@p69) :args (@t61)) % 0.39/0.59 (step @p71 :rule trans :premises (@p70 @p68)) % 0.39/0.59 (step @p72 :rule cong :premises (@p71) :args (@t62)) % 0.39/0.59 (step @p73 :rule quant-merge-prenex :args ((= @t62 @t63))) % 0.39/0.59 (step @p74 :rule symm :premises (@p73)) % 0.39/0.59 (step @p75 :rule quant_var_reordering :args ((= (forall @t31 @t60) @t63))) % 0.39/0.59 (step @p76 :rule trans :premises (@p75 @p74 @p72)) % 0.39/0.59 (step @p77 :rule trans :premises (@p76 @p67)) % 0.39/0.59 (step @p78 :rule eq-symm :args (@t15 @t1)) % 0.39/0.59 (step @p79 :rule refl :args (@t19)) % 0.39/0.59 (step @p80 :rule refl :args (@t28)) % 0.39/0.59 (step @p81 :rule nary_cong :premises (@p80 @p79 @p78) :args (@t30)) % 0.39/0.59 (step @p82 :rule cong :premises (@p81) :args (@t32)) % 0.39/0.59 (step @p83 :rule trans :premises (@p82 @p77)) % 0.39/0.59 (step @p84 :rule eq_resolve :premises (@p8 @p83)) % 0.39/0.59 (step @p85 :rule instantiate :premises (@p84) :args ((@list tptp.a))) % 0.39/0.59 (step @p86 :rule cnf_or_pos :args (@t68)) % 0.39/0.59 (step @p87 :rule reordering :premises (@p86) :args ((or @t67 @t65 (not @t68)))) % 0.39/0.59 (step @p88 :rule refl :args (@t5)) % 0.39/0.59 (step @p89 :rule nary_cong :premises (@p88 @p53) :args (@t6)) % 0.39/0.59 (step @p90 :rule cong :premises (@p89) :args (@t8)) % 0.39/0.59 (step @p91 :rule eq_resolve :premises (@p1 @p90)) % 0.39/0.59 (step @p92 :rule instantiate :premises (@p91) :args ((@list @t64 @t66))) % 0.39/0.59 (step @p93 :rule cnf_or_pos :args (@t70)) % 0.39/0.59 (step @p94 :rule reordering :premises (@p93) :args ((or @t65 @t69 (not @t70)))) % 0.39/0.59 (step @p95 :rule chain_m_resolution :premises (@p94 @p92 @p87 @p85) :args (@t65 @t71 (@list @t70 @t67 @t68))) % 0.39/0.59 (step @p96 :rule eq-symm :args (@t22 @t21)) % 0.39/0.59 (step @p97 :rule refl :args (@t24)) % 0.39/0.59 (step @p98 :rule cong :premises (@p78) :args (@t33)) % 0.39/0.59 (step @p99 :rule nary_cong :premises (@p98 @p97 @p96) :args (@t34)) % 0.39/0.59 (step @p100 :rule cong :premises (@p99) :args (@t36)) % 0.39/0.59 (step @p101 :rule eq_resolve :premises (@p10 @p100)) % 0.39/0.59 (step @p102 :rule instantiate :premises (@p101) :args (@t72)) % 0.39/0.59 (step @p103 :rule cnf_or_pos :args (@t77)) % 0.39/0.59 (step @p104 :rule reordering :premises (@p103) :args ((or @t76 @t75 @t74 (not @t77)))) % 0.39/0.59 (step @p105 :rule eq-symm :args (@t73 tptp.b)) % 0.39/0.59 (step @p106 :rule refl :args (@t78)) % 0.39/0.59 (step @p107 :rule nary_cong :premises (@p106 @p105) :args (@t79)) % 0.39/0.59 (step @p108 :rule refl :args (@t10)) % 0.39/0.59 (step @p109 :rule cong :premises (@p108 @p107) :args ((=> @t10 @t79))) % 0.39/0.59 (assume-push @p147 @t10) % 0.39/0.59 (step @p111 :rule instantiate :premises (@p2) :args ((@list @t64 @t73))) % 0.39/0.59 (step-pop @p148 :rule scope :premises (@p111)) % 0.39/0.59 (step @p112 :rule process_scope :premises (@p148) :args (@t79)) % 0.39/0.59 (step @p114 :rule eq_resolve :premises (@p112 @p109)) % 0.39/0.59 (step @p115 :rule implies_elim :premises (@p114)) % 0.39/0.59 (step @p116 :rule chain_m_resolution :premises (@p115 @p2) :args (@t80 (@list false) (@list @t10))) % 0.39/0.59 (step @p117 :rule cnf_or_pos :args (@t80)) % 0.39/0.59 (step @p118 :rule reordering :premises (@p117) :args ((or @t74 @t78 (not @t80)))) % 0.39/0.59 (step @p119 :rule chain_m_resolution :premises (@p118 @p116 @p104 @p102 @p95) :args (@t74 (@list false false false false) (@list @t80 @t75 @t77 @t65))) % 0.39/0.59 (step @p120 :rule refl :args (@t26)) % 0.39/0.59 (step @p121 :rule cong :premises (@p96) :args (@t27)) % 0.39/0.59 (step @p122 :rule nary_cong :premises (@p98 @p121 @p120) :args (@t37)) % 0.39/0.59 (step @p123 :rule cong :premises (@p122) :args (@t38)) % 0.39/0.59 (step @p124 :rule eq_resolve :premises (@p11 @p123)) % 0.39/0.59 (step @p125 :rule instantiate :premises (@p124) :args (@t72)) % 0.39/0.59 (step @p126 :rule cnf_or_pos :args (@t82)) % 0.39/0.59 (step @p127 :rule reordering :premises (@p126) :args ((or @t76 @t81 @t78 (not @t82)))) % 0.39/0.59 (step @p128 :rule chain_m_resolution :premises (@p127 @p95 @p119 @p125) :args (@t78 @t71 (@list @t65 @t74 @t82))) % 0.39/0.59 (assume-push @p149 @t39) % 0.39/0.59 (assume-push @p150 @t65) % 0.39/0.59 (assume-push @p151 @t74) % 0.39/0.59 (step @p132 :rule true_intro :premises (@p58)) % 0.39/0.59 (step @p133 :rule symm :premises (@p119)) % 0.39/0.59 (step @p134 :rule symm :premises (@p95)) % 0.39/0.59 (step @p135 :rule cong :premises (@p134 @p133) :args (@t75)) % 0.39/0.59 (step @p136 :rule trans :premises (@p135 @p132)) % 0.39/0.59 (step @p137 :rule true_elim :premises (@p136)) % 0.39/0.59 (step-pop @p152 :rule scope :premises (@p137)) % 0.39/0.59 (step-pop @p153 :rule scope :premises (@p152)) % 0.39/0.59 (step-pop @p154 :rule scope :premises (@p153)) % 0.39/0.59 (step @p138 :rule process_scope :premises (@p154) :args (@t75)) % 0.39/0.59 (step @p142 :rule implies_elim :premises (@p138)) % 0.39/0.59 (step @p143 :rule cnf_and_neg :args (@t83)) % 0.39/0.59 (step @p144 :rule resolution :premises (@p143 @p142) :args (true @t83)) % 0.39/0.59 (step @p145 :rule reordering :premises (@p144) :args ((or (not @t39) @t76 @t75 @t81))) % 0.39/0.59 (step @p146 false :rule chain_m_resolution :premises (@p145 @p128 @p119 @p95 @p58) :args (false (@list true false false false) (@list @t75 @t74 @t65 @t39))) % 0.39/0.59 ) % 0.39/0.59 % SZS output end Proof % 0.39/0.60 % cvc5 exiting %------------------------------------------------------------------------------