%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LCL443-10 : TPTP v9.3.1. Released v7.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n029.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8046.5625MB % OS : Linux 6.8.0-71-generic % CPULimit : 300s % WCLimit : 300s % DateTime : Mon Sep 7 11:22:54 AM UTC 2026 % Result : Unsatisfiable 0.55s 0.84s % Output : Proof 0.55s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : LCL443-10 : TPTP v9.3.1. Released v7.3.0. % 0.00/0.05 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.10/0.37 % Computer : n029.cluster.edu % 0.10/0.37 % Model : x86_64 x86_64 % 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.10/0.37 % Memory : 8046.5625MB % 0.10/0.37 % OS : Linux 6.8.0-71-generic % 0.10/0.37 % CPULimit : 300 % 0.10/0.37 % WCLimit : 300 % 0.10/0.37 % DateTime : Sat Sep 5 18:48:55 UTC 2026 % 0.10/0.37 % CPUTime : % 0.10/0.45 %----Proving TF0_NAR, FOF, or CNF % 0.22/0.46 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.55/0.84 % SZS status Unsatisfiable % 0.55/0.84 % SZS output start Proof % 0.55/0.84 ( % 0.55/0.84 (declare-sort $$unsorted 0) % 0.55/0.84 (declare-const tptp.v_q $$unsorted) % 0.55/0.84 (declare-const tptp.v_p $$unsorted) % 0.55/0.84 (declare-const tptp.t_a $$unsorted) % 0.55/0.84 (declare-const tptp.c_PropLog_Opl_Oop_A_N_62 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.55/0.84 (declare-const tptp.c_in (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.55/0.84 (declare-const tptp.v_H $$unsorted) % 0.55/0.84 (declare-const tptp.c_PropLog_Othms (-> $$unsorted $$unsorted $$unsorted)) % 0.55/0.84 (declare-const tptp.tc_PropLog_Opl (-> $$unsorted $$unsorted)) % 0.55/0.84 (declare-const tptp.true $$unsorted) % 0.55/0.84 (declare-const tptp.c_PropLog_Opl_Ofalse $$unsorted) % 0.55/0.84 (declare-const tptp.c_insert (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.55/0.84 (declare-const tptp.ifeq (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.55/0.84 (define @t1 () (@var "B" $$unsorted)) % 0.55/0.84 (define @t2 () (@var "C" $$unsorted)) % 0.55/0.84 (define @t3 () (@var "A" $$unsorted)) % 0.55/0.84 (define @t4 () (tptp.ifeq @t3 @t3 @t1 @t2)) % 0.55/0.84 (define @t5 () (forall (@list @t3 @t1 @t2) (= @t4 @t1))) % 0.55/0.84 (define @t6 () (@var "T_a" $$unsorted)) % 0.55/0.84 (define @t7 () (tptp.tc_PropLog_Opl @t6)) % 0.55/0.84 (define @t8 () (@var "V_H" $$unsorted)) % 0.55/0.84 (define @t9 () (tptp.c_PropLog_Othms @t8 @t6)) % 0.55/0.84 (define @t10 () (@var "V_q" $$unsorted)) % 0.55/0.84 (define @t11 () (@var "V_p" $$unsorted)) % 0.55/0.84 (define @t12 () (tptp.c_in @t11 @t9 @t7)) % 0.55/0.84 (define @t13 () (tptp.c_in (tptp.c_PropLog_Opl_Oop_A_N_62 @t11 @t10 @t6) @t9 @t7)) % 0.55/0.84 (define @t14 () (tptp.ifeq @t13 tptp.true (tptp.ifeq @t12 tptp.true (tptp.c_in @t10 @t9 @t7) tptp.true) tptp.true)) % 0.55/0.84 (define @t15 () (forall (@list @t11 @t10 @t6 @t8) (= @t14 tptp.true))) % 0.55/0.84 (define @t16 () (tptp.ifeq (tptp.c_in @t10 (tptp.c_PropLog_Othms (tptp.c_insert @t11 @t8 @t7) @t6) @t7) tptp.true @t13 tptp.true)) % 0.55/0.84 (define @t17 () (forall (@list @t10 @t11 @t8 @t6) (= @t16 tptp.true))) % 0.55/0.84 (define @t18 () (tptp.ifeq (tptp.c_in @t11 @t8 @t7) tptp.true @t12 tptp.true)) % 0.55/0.84 (define @t19 () (forall (@list @t11 @t8 @t6) (= @t18 tptp.true))) % 0.55/0.84 (define @t20 () (@var "V_G" $$unsorted)) % 0.55/0.84 (define @t21 () (@var "V_a" $$unsorted)) % 0.55/0.84 (define @t22 () (tptp.ifeq (tptp.c_in @t11 (tptp.c_PropLog_Othms @t20 @t6) @t7) tptp.true (tptp.c_in @t11 (tptp.c_PropLog_Othms (tptp.c_insert @t21 @t20 @t7) @t6) @t7) tptp.true)) % 0.55/0.84 (define @t23 () (forall (@list @t11 @t20 @t6 @t21) (= @t22 tptp.true))) % 0.55/0.84 (define @t24 () (@var "V_B" $$unsorted)) % 0.55/0.84 (define @t25 () (@var "V_x" $$unsorted)) % 0.55/0.84 (define @t26 () (tptp.c_in @t25 (tptp.c_insert @t25 @t24 @t6) @t6)) % 0.55/0.84 (define @t27 () (forall (@list @t25 @t24 @t6) (= @t26 tptp.true))) % 0.55/0.84 (define @t28 () (tptp.tc_PropLog_Opl tptp.t_a)) % 0.55/0.84 (define @t29 () (tptp.c_PropLog_Othms tptp.v_H tptp.t_a)) % 0.55/0.84 (define @t30 () (tptp.c_in tptp.v_p @t29 @t28)) % 0.55/0.84 (define @t31 () (tptp.c_PropLog_Opl_Oop_A_N_62 tptp.v_q tptp.c_PropLog_Opl_Ofalse tptp.t_a)) % 0.55/0.84 (define @t32 () (tptp.c_in @t31 @t29 @t28)) % 0.55/0.84 (define @t33 () (tptp.c_PropLog_Opl_Oop_A_N_62 tptp.v_p tptp.v_q tptp.t_a)) % 0.55/0.84 (define @t34 () (tptp.c_in (tptp.c_PropLog_Opl_Oop_A_N_62 @t33 tptp.c_PropLog_Opl_Ofalse tptp.t_a) @t29 @t28)) % 0.55/0.84 (define @t35 () (tptp.c_insert @t33 tptp.v_H @t28)) % 0.55/0.84 (define @t36 () (tptp.c_PropLog_Othms @t35 tptp.t_a)) % 0.55/0.84 (define @t37 () (tptp.c_in @t33 @t36 @t28)) % 0.55/0.84 (define @t38 () (tptp.c_in tptp.v_p @t36 @t28)) % 0.55/0.84 (define @t39 () (tptp.c_in tptp.v_q @t36 @t28)) % 0.55/0.84 (define @t40 () (tptp.c_in @t31 @t36 @t28)) % 0.55/0.84 (define @t41 () (tptp.c_in tptp.c_PropLog_Opl_Ofalse @t36 @t28)) % 0.55/0.84 (define @t42 () (= tptp.true @t30)) % 0.55/0.84 (define @t43 () (= tptp.true @t32)) % 0.55/0.84 (define @t44 () (tptp.ifeq @t41 tptp.true @t34 tptp.true)) % 0.55/0.84 (define @t45 () (= tptp.true @t44)) % 0.55/0.84 (define @t46 () (tptp.c_in @t33 @t35 @t28)) % 0.55/0.84 (define @t47 () (= tptp.true @t46)) % 0.55/0.84 (define @t48 () (tptp.ifeq @t38 tptp.true @t39 tptp.true)) % 0.55/0.84 (define @t49 () (tptp.ifeq @t37 tptp.true @t48 tptp.true)) % 0.55/0.84 (define @t50 () (= tptp.true @t49)) % 0.55/0.84 (define @t51 () (tptp.ifeq @t39 tptp.true @t41 tptp.true)) % 0.55/0.84 (define @t52 () (= tptp.true (tptp.ifeq @t40 tptp.true @t51 tptp.true))) % 0.55/0.84 (define @t53 () (= tptp.true (tptp.ifeq @t46 tptp.true @t37 tptp.true))) % 0.55/0.84 (define @t54 () (= tptp.true (tptp.ifeq @t30 tptp.true @t38 tptp.true))) % 0.55/0.84 (define @t55 () (tptp.ifeq tptp.true tptp.true @t37 tptp.true)) % 0.55/0.84 (define @t56 () (= @t37 @t55)) % 0.55/0.84 (define @t57 () (tptp.ifeq tptp.true tptp.true @t38 tptp.true)) % 0.55/0.84 (define @t58 () (= @t38 @t57)) % 0.55/0.84 (define @t59 () (tptp.ifeq @t32 tptp.true @t40 tptp.true)) % 0.55/0.84 (define @t60 () (= tptp.true @t59)) % 0.55/0.84 (define @t61 () (= @t34 (tptp.ifeq tptp.true tptp.true @t34 tptp.true))) % 0.55/0.84 (define @t62 () (= @t39 (tptp.ifeq tptp.true tptp.true @t39 tptp.true))) % 0.55/0.84 (define @t63 () (= @t40 (tptp.ifeq tptp.true tptp.true @t40 tptp.true))) % 0.55/0.84 (define @t64 () (tptp.ifeq tptp.true tptp.true @t41 tptp.true)) % 0.55/0.84 (define @t65 () (= @t41 @t64)) % 0.55/0.84 (define @t66 () (= tptp.true @t34)) % 0.55/0.84 (define @t67 () (and @t42 @t43 @t45 @t47 @t50 @t52 @t53 @t54 @t56 @t58 @t60 @t61 @t62 @t63 @t65)) % 0.55/0.84 (assume @p1 @t5) % 0.55/0.84 (assume @p2 @t15) % 0.55/0.84 (assume @p3 @t17) % 0.55/0.84 (assume @p4 @t19) % 0.55/0.84 (assume @p5 @t23) % 0.55/0.84 (assume @p6 @t27) % 0.55/0.84 (assume @p7 (= @t30 tptp.true)) % 0.55/0.84 (assume @p8 (= @t32 tptp.true)) % 0.55/0.84 (assume @p9 (not (= @t34 tptp.true))) % 0.55/0.84 (step @p10 :rule symm :premises (@p7)) % 0.55/0.84 (step @p11 :rule symm :premises (@p8)) % 0.55/0.84 (step @p12 :rule symm :premises (@p9)) % 0.55/0.84 (step @p13 :rule eq-symm :args (@t16 tptp.true)) % 0.55/0.84 (step @p14 :rule cong :premises (@p13) :args (@t17)) % 0.55/0.84 (step @p15 :rule eq_resolve :premises (@p3 @p14)) % 0.55/0.84 (step @p16 :rule instantiate :premises (@p15) :args ((@list tptp.c_PropLog_Opl_Ofalse @t33 tptp.v_H tptp.t_a))) % 0.55/0.84 (step @p17 :rule eq-symm :args (@t26 tptp.true)) % 0.55/0.84 (step @p18 :rule cong :premises (@p17) :args (@t27)) % 0.55/0.84 (step @p19 :rule eq_resolve :premises (@p6 @p18)) % 0.55/0.84 (step @p20 :rule instantiate :premises (@p19) :args ((@list @t33 tptp.v_H @t28))) % 0.55/0.84 (step @p21 :rule eq-symm :args (@t14 tptp.true)) % 0.55/0.84 (step @p22 :rule cong :premises (@p21) :args (@t15)) % 0.55/0.84 (step @p23 :rule eq_resolve :premises (@p2 @p22)) % 0.55/0.84 (step @p24 :rule instantiate :premises (@p23) :args ((@list tptp.v_p tptp.v_q tptp.t_a @t35))) % 0.55/0.84 (step @p25 :rule instantiate :premises (@p23) :args ((@list tptp.v_q tptp.c_PropLog_Opl_Ofalse tptp.t_a @t35))) % 0.55/0.84 (step @p26 :rule eq-symm :args (@t18 tptp.true)) % 0.55/0.84 (step @p27 :rule cong :premises (@p26) :args (@t19)) % 0.55/0.84 (step @p28 :rule eq_resolve :premises (@p4 @p27)) % 0.55/0.84 (step @p29 :rule instantiate :premises (@p28) :args ((@list @t33 @t35 tptp.t_a))) % 0.55/0.84 (step @p30 :rule eq-symm :args (@t22 tptp.true)) % 0.55/0.84 (step @p31 :rule cong :premises (@p30) :args (@t23)) % 0.55/0.84 (step @p32 :rule eq_resolve :premises (@p5 @p31)) % 0.55/0.84 (step @p33 :rule instantiate :premises (@p32) :args ((@list tptp.v_p tptp.v_H tptp.t_a @t33))) % 0.55/0.84 (step @p34 :rule eq-symm :args (@t4 @t1)) % 0.55/0.84 (step @p35 :rule cong :premises (@p34) :args (@t5)) % 0.55/0.84 (step @p36 :rule eq_resolve :premises (@p1 @p35)) % 0.55/0.84 (step @p37 :rule instantiate :premises (@p36) :args ((@list tptp.true @t37 tptp.true))) % 0.55/0.84 (step @p38 :rule instantiate :premises (@p36) :args ((@list tptp.true @t38 tptp.true))) % 0.55/0.84 (step @p39 :rule instantiate :premises (@p32) :args ((@list @t31 tptp.v_H tptp.t_a @t33))) % 0.55/0.84 (step @p40 :rule instantiate :premises (@p36) :args ((@list tptp.true @t34 tptp.true))) % 0.55/0.84 (step @p41 :rule instantiate :premises (@p36) :args ((@list tptp.true @t39 tptp.true))) % 0.55/0.84 (step @p42 :rule instantiate :premises (@p36) :args ((@list tptp.true @t40 tptp.true))) % 0.55/0.84 (step @p43 :rule instantiate :premises (@p36) :args ((@list tptp.true @t41 tptp.true))) % 0.55/0.84 (assume-push @p119 @t42) % 0.55/0.84 (assume-push @p120 @t43) % 0.55/0.84 (assume-push @p121 @t45) % 0.55/0.84 (assume-push @p122 @t47) % 0.55/0.84 (assume-push @p123 @t50) % 0.55/0.84 (assume-push @p124 @t52) % 0.55/0.84 (assume-push @p125 @t53) % 0.55/0.84 (assume-push @p126 @t54) % 0.55/0.84 (assume-push @p127 @t56) % 0.55/0.84 (assume-push @p128 @t58) % 0.55/0.84 (assume-push @p129 @t60) % 0.55/0.84 (assume-push @p130 @t61) % 0.55/0.84 (assume-push @p131 @t62) % 0.55/0.84 (assume-push @p132 @t63) % 0.55/0.84 (assume-push @p133 @t65) % 0.55/0.84 (step @p59 :rule symm :premises (@p40)) % 0.55/0.84 (step @p60 :rule refl :args (tptp.true)) % 0.55/0.84 (step @p61 :rule refl :args (@t34)) % 0.55/0.84 (step @p62 :rule symm :premises (@p25)) % 0.55/0.84 (step @p63 :rule refl :args (@t51)) % 0.55/0.84 (step @p64 :rule symm :premises (@p42)) % 0.55/0.84 (step @p65 :rule refl :args (@t40)) % 0.55/0.84 (step @p66 :rule cong :premises (@p8 @p60 @p65 @p60) :args (@t59)) % 0.55/0.84 (step @p67 :rule trans :premises (@p8 @p39 @p66 @p64)) % 0.55/0.84 (step @p68 :rule trans :premises (@p11 @p67)) % 0.55/0.84 (step @p69 :rule cong :premises (@p68 @p60 @p63 @p60) :args ((tptp.ifeq tptp.true tptp.true @t51 tptp.true))) % 0.55/0.84 (step @p70 :rule refl :args (@t41)) % 0.55/0.84 (step @p71 :rule symm :premises (@p41)) % 0.55/0.84 (step @p72 :rule refl :args (@t39)) % 0.55/0.84 (step @p73 :rule symm :premises (@p33)) % 0.55/0.84 (step @p74 :rule refl :args (@t38)) % 0.55/0.84 (step @p75 :rule cong :premises (@p10 @p60 @p74 @p60) :args (@t57)) % 0.55/0.84 (step @p76 :rule trans :premises (@p38 @p75 @p73 @p11)) % 0.55/0.84 (step @p77 :rule trans :premises (@p76 @p8)) % 0.55/0.84 (step @p78 :rule cong :premises (@p77 @p60 @p72 @p60) :args (@t48)) % 0.55/0.84 (step @p79 :rule trans :premises (@p78 @p71)) % 0.55/0.84 (step @p80 :rule cong :premises (@p60 @p60 @p79 @p60) :args ((tptp.ifeq tptp.true tptp.true @t48 tptp.true))) % 0.55/0.84 (step @p81 :rule refl :args (@t48)) % 0.55/0.84 (step @p82 :rule symm :premises (@p29)) % 0.55/0.84 (step @p83 :rule refl :args (@t37)) % 0.55/0.84 (step @p84 :rule cong :premises (@p20 @p60 @p83 @p60) :args (@t55)) % 0.55/0.84 (step @p85 :rule trans :premises (@p37 @p84 @p82 @p11)) % 0.55/0.84 (step @p86 :rule trans :premises (@p85 @p8)) % 0.55/0.84 (step @p87 :rule cong :premises (@p86 @p60 @p81 @p60) :args (@t49)) % 0.55/0.84 (step @p88 :rule trans :premises (@p8 @p24 @p87 @p80 @p71)) % 0.55/0.84 (step @p89 :rule trans :premises (@p11 @p88)) % 0.55/0.84 (step @p90 :rule cong :premises (@p89 @p60 @p70 @p60) :args (@t64)) % 0.55/0.84 (step @p91 :rule trans :premises (@p43 @p90)) % 0.55/0.84 (step @p92 :rule symm :premises (@p89)) % 0.55/0.84 (step @p93 :rule cong :premises (@p92 @p60 @p91 @p60) :args (@t51)) % 0.55/0.84 (step @p94 :rule trans :premises (@p43 @p90 @p93 @p69 @p62 @p11)) % 0.55/0.84 (step @p95 :rule trans :premises (@p94 @p8)) % 0.55/0.84 (step @p96 :rule cong :premises (@p95 @p60 @p61 @p60) :args (@t44)) % 0.55/0.84 (step @p97 :rule trans :premises (@p16 @p96 @p59)) % 0.55/0.84 (step-pop @p134 :rule scope :premises (@p97)) % 0.55/0.84 (step-pop @p135 :rule scope :premises (@p134)) % 0.55/0.84 (step-pop @p136 :rule scope :premises (@p135)) % 0.55/0.84 (step-pop @p137 :rule scope :premises (@p136)) % 0.55/0.84 (step-pop @p138 :rule scope :premises (@p137)) % 0.55/0.84 (step-pop @p139 :rule scope :premises (@p138)) % 0.55/0.84 (step-pop @p140 :rule scope :premises (@p139)) % 0.55/0.84 (step-pop @p141 :rule scope :premises (@p140)) % 0.55/0.84 (step-pop @p142 :rule scope :premises (@p141)) % 0.55/0.84 (step-pop @p143 :rule scope :premises (@p142)) % 0.55/0.84 (step-pop @p144 :rule scope :premises (@p143)) % 0.55/0.84 (step-pop @p145 :rule scope :premises (@p144)) % 0.55/0.84 (step-pop @p146 :rule scope :premises (@p145)) % 0.55/0.84 (step-pop @p147 :rule scope :premises (@p146)) % 0.55/0.84 (step-pop @p148 :rule scope :premises (@p147)) % 0.55/0.84 (step @p98 :rule process_scope :premises (@p148) :args (@t66)) % 0.55/0.84 (step @p114 :rule implies_elim :premises (@p98)) % 0.55/0.84 (step @p115 :rule cnf_and_neg :args (@t67)) % 0.55/0.84 (step @p116 :rule resolution :premises (@p115 @p114) :args (true @t67)) % 0.55/0.84 (step @p117 :rule reordering :premises (@p116) :args ((or @t66 (not @t42) (not @t43) (not @t45) (not @t47) (not @t50) (not @t52) (not @t53) (not @t54) (not @t56) (not @t58) (not @t60) (not @t61) (not @t62) (not @t63) (not @t65)))) % 0.55/0.84 (step @p118 false :rule chain_m_resolution :premises (@p117 @p43 @p42 @p41 @p40 @p39 @p38 @p37 @p33 @p29 @p25 @p24 @p20 @p16 @p12 @p11 @p10) :args (false (@list false false false false false false false false false false false false false true false false) (@list @t65 @t63 @t62 @t61 @t60 @t58 @t56 @t54 @t53 @t52 @t50 @t47 @t45 @t66 @t43 @t42))) % 0.55/0.84 ) % 0.55/0.85 % SZS output end Proof % 0.55/0.85 % cvc5 exiting %------------------------------------------------------------------------------