%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ALG069-10 : TPTP v9.2.1. Released v7.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n017.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 08:05:09 AM UTC 2026 % Result : Unsatisfiable 0.38s 0.57s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ALG069-10 : TPTP v9.2.1. Released v7.3.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n017.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Wed Jun 3 01:37:31 EDT 2026 % 0.15/0.34 % CPUTime : % 0.31/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.31/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.38/0.57 % SZS status Unsatisfiable % 0.38/0.57 % SZS output start Proof % 0.38/0.58 ( % 0.38/0.58 (declare-sort $$unsorted 0) % 0.38/0.58 (declare-const tptp.tuple (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.58 (declare-const tptp.sK1_ax4_U $$unsorted) % 0.38/0.58 (declare-const tptp.sK2_ax3_V (-> $$unsorted $$unsorted)) % 0.38/0.58 (declare-const tptp.j (-> $$unsorted $$unsorted)) % 0.38/0.58 (declare-const tptp.sorti2 (-> $$unsorted $$unsorted)) % 0.38/0.58 (declare-const tptp.sorti1 (-> $$unsorted $$unsorted)) % 0.38/0.58 (declare-const tptp.op2 (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.58 (declare-const tptp.op1 (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.58 (declare-const tptp.true $$unsorted) % 0.38/0.58 (declare-const tptp.h (-> $$unsorted $$unsorted)) % 0.38/0.58 (declare-const tptp.ifeq (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.38/0.58 (declare-const tptp.ifeq2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.38/0.58 (define @t1 () (@var "B" $$unsorted)) % 0.38/0.58 (define @t2 () (@var "C" $$unsorted)) % 0.38/0.58 (define @t3 () (@var "A" $$unsorted)) % 0.38/0.58 (define @t4 () (tptp.ifeq2 @t3 @t3 @t1 @t2)) % 0.38/0.58 (define @t5 () (@list @t3 @t1 @t2)) % 0.38/0.58 (define @t6 () (forall @t5 (= @t4 @t1))) % 0.38/0.58 (define @t7 () (tptp.ifeq @t3 @t3 @t1 @t2)) % 0.38/0.58 (define @t8 () (forall @t5 (= @t7 @t1))) % 0.38/0.58 (define @t9 () (@var "V" $$unsorted)) % 0.38/0.58 (define @t10 () (@var "U" $$unsorted)) % 0.38/0.58 (define @t11 () (tptp.sorti1 @t10)) % 0.38/0.58 (define @t12 () (@list @t9 @t10)) % 0.38/0.58 (define @t13 () (tptp.sorti2 @t9)) % 0.38/0.58 (define @t14 () (tptp.sK2_ax3_V @t10)) % 0.38/0.58 (define @t15 () (tptp.ifeq @t11 tptp.true (tptp.sorti1 @t14) tptp.true)) % 0.38/0.58 (define @t16 () (@list @t10)) % 0.38/0.58 (define @t17 () (forall @t16 (= @t15 tptp.true))) % 0.38/0.58 (define @t18 () (tptp.ifeq2 @t11 tptp.true (tptp.op1 @t14 @t14) @t10)) % 0.38/0.58 (define @t19 () (forall @t16 (= @t18 @t10))) % 0.38/0.58 (define @t20 () (tptp.tuple tptp.sK1_ax4_U tptp.true)) % 0.38/0.58 (define @t21 () (@list @t9)) % 0.38/0.58 (define @t22 () (forall @t21 (not (= (tptp.tuple (tptp.op2 @t9 @t9) @t13) @t20)))) % 0.38/0.58 (define @t23 () (tptp.sorti2 tptp.sK1_ax4_U)) % 0.38/0.58 (define @t24 () (tptp.ifeq @t11 tptp.true (tptp.sorti2 (tptp.h @t10)) tptp.true)) % 0.38/0.58 (define @t25 () (forall @t16 (= @t24 tptp.true))) % 0.38/0.58 (define @t26 () (@var "X" $$unsorted)) % 0.38/0.58 (define @t27 () (@var "W" $$unsorted)) % 0.38/0.58 (define @t28 () (tptp.h (tptp.op1 @t27 @t26))) % 0.38/0.58 (define @t29 () (tptp.ifeq2 (tptp.sorti1 @t26) tptp.true (tptp.ifeq2 (tptp.sorti1 @t27) tptp.true (tptp.op2 (tptp.h @t27) (tptp.h @t26)) @t28) @t28)) % 0.38/0.58 (define @t30 () (forall (@list @t26 @t27) (= @t29 @t28))) % 0.38/0.58 (define @t31 () (@var "X2" $$unsorted)) % 0.38/0.58 (define @t32 () (tptp.ifeq @t13 tptp.true (tptp.sorti1 (tptp.j @t9)) tptp.true)) % 0.38/0.58 (define @t33 () (forall @t21 (= @t32 tptp.true))) % 0.38/0.58 (define @t34 () (@var "Z" $$unsorted)) % 0.38/0.58 (define @t35 () (@var "Y" $$unsorted)) % 0.38/0.58 (define @t36 () (tptp.j (tptp.op2 @t35 @t34))) % 0.38/0.58 (define @t37 () (@var "X1" $$unsorted)) % 0.38/0.58 (define @t38 () (tptp.ifeq2 (tptp.sorti2 @t37) tptp.true (tptp.h (tptp.j @t37)) @t37)) % 0.38/0.58 (define @t39 () (forall (@list @t37) (= @t38 @t37))) % 0.38/0.58 (define @t40 () (@list tptp.sK1_ax4_U)) % 0.38/0.58 (define @t41 () (tptp.j tptp.sK1_ax4_U)) % 0.38/0.58 (define @t42 () (tptp.h @t41)) % 0.38/0.58 (define @t43 () (tptp.sorti1 @t41)) % 0.38/0.58 (define @t44 () (@list @t41)) % 0.38/0.58 (define @t45 () (tptp.sK2_ax3_V @t41)) % 0.38/0.58 (define @t46 () (tptp.op1 @t45 @t45)) % 0.38/0.58 (define @t47 () (tptp.sorti1 @t45)) % 0.38/0.58 (define @t48 () (tptp.h @t45)) % 0.38/0.58 (define @t49 () (tptp.sorti2 @t48)) % 0.38/0.58 (define @t50 () (tptp.op2 @t48 @t48)) % 0.38/0.59 (define @t51 () (tptp.tuple @t50 @t49)) % 0.38/0.59 (define @t52 () (not (= @t51 @t20))) % 0.38/0.59 (define @t53 () (= @t20 @t51)) % 0.38/0.59 (define @t54 () (tptp.h @t46)) % 0.38/0.59 (define @t55 () (= tptp.true @t23)) % 0.38/0.59 (define @t56 () (tptp.ifeq @t23 tptp.true @t43 tptp.true)) % 0.38/0.59 (define @t57 () (= tptp.true @t56)) % 0.38/0.59 (define @t58 () (tptp.ifeq2 @t23 tptp.true @t42 tptp.sK1_ax4_U)) % 0.38/0.59 (define @t59 () (= tptp.sK1_ax4_U @t58)) % 0.38/0.59 (define @t60 () (= @t42 (tptp.ifeq2 tptp.true tptp.true @t42 tptp.sK1_ax4_U))) % 0.38/0.59 (define @t61 () (= @t43 (tptp.ifeq tptp.true tptp.true @t43 tptp.true))) % 0.38/0.59 (define @t62 () (tptp.ifeq2 @t43 tptp.true @t46 @t41)) % 0.38/0.59 (define @t63 () (= @t41 @t62)) % 0.38/0.59 (define @t64 () (= @t46 (tptp.ifeq2 tptp.true tptp.true @t46 @t41))) % 0.38/0.59 (define @t65 () (= tptp.true (tptp.ifeq @t43 tptp.true @t47 tptp.true))) % 0.38/0.59 (define @t66 () (tptp.ifeq2 @t47 tptp.true @t50 @t54)) % 0.38/0.59 (define @t67 () (tptp.ifeq2 @t47 tptp.true @t66 @t54)) % 0.38/0.59 (define @t68 () (= @t54 @t67)) % 0.38/0.59 (define @t69 () (tptp.ifeq tptp.true tptp.true @t47 tptp.true)) % 0.38/0.59 (define @t70 () (= @t47 @t69)) % 0.38/0.59 (define @t71 () (tptp.ifeq @t47 tptp.true @t49 tptp.true)) % 0.38/0.59 (define @t72 () (= tptp.true @t71)) % 0.38/0.59 (define @t73 () (= @t50 (tptp.ifeq2 tptp.true tptp.true @t50 @t54))) % 0.38/0.59 (define @t74 () (= @t49 (tptp.ifeq tptp.true tptp.true @t49 tptp.true))) % 0.38/0.59 (define @t75 () (and @t55 @t57 @t59 @t60 @t61 @t63 @t64 @t65 @t68 @t70 @t72 @t73 @t74)) % 0.38/0.59 (assume @p1 @t6) % 0.38/0.59 (assume @p2 @t8) % 0.38/0.59 (assume @p3 (forall @t12 (= (tptp.ifeq (tptp.sorti1 @t9) tptp.true (tptp.ifeq @t11 tptp.true (tptp.sorti1 (tptp.op1 @t10 @t9)) tptp.true) tptp.true) tptp.true))) % 0.38/0.59 (assume @p4 (forall @t12 (= (tptp.ifeq @t13 tptp.true (tptp.ifeq (tptp.sorti2 @t10) tptp.true (tptp.sorti2 (tptp.op2 @t10 @t9)) tptp.true) tptp.true) tptp.true))) % 0.38/0.59 (assume @p5 @t17) % 0.38/0.59 (assume @p6 @t19) % 0.38/0.59 (assume @p7 @t22) % 0.38/0.59 (assume @p8 (= @t23 tptp.true)) % 0.38/0.59 (assume @p9 @t25) % 0.38/0.59 (assume @p10 @t30) % 0.38/0.59 (assume @p11 (forall (@list @t31) (= (tptp.ifeq2 (tptp.sorti1 @t31) tptp.true (tptp.j (tptp.h @t31)) @t31) @t31))) % 0.38/0.59 (assume @p12 @t33) % 0.38/0.59 (assume @p13 (forall (@list @t34 @t35) (= (tptp.ifeq2 (tptp.sorti2 @t34) tptp.true (tptp.ifeq2 (tptp.sorti2 @t35) tptp.true (tptp.op1 (tptp.j @t35) (tptp.j @t34)) @t36) @t36) @t36))) % 0.38/0.59 (assume @p14 @t39) % 0.38/0.59 (step @p15 :rule symm :premises (@p8)) % 0.38/0.59 (step @p16 :rule eq-symm :args (@t32 tptp.true)) % 0.38/0.59 (step @p17 :rule cong :premises (@p16) :args (@t33)) % 0.38/0.59 (step @p18 :rule eq_resolve :premises (@p12 @p17)) % 0.38/0.59 (step @p19 :rule instantiate :premises (@p18) :args (@t40)) % 0.38/0.59 (step @p20 :rule eq-symm :args (@t38 @t37)) % 0.38/0.59 (step @p21 :rule cong :premises (@p20) :args (@t39)) % 0.38/0.59 (step @p22 :rule eq_resolve :premises (@p14 @p21)) % 0.38/0.59 (step @p23 :rule instantiate :premises (@p22) :args (@t40)) % 0.38/0.59 (step @p24 :rule eq-symm :args (@t4 @t1)) % 0.38/0.59 (step @p25 :rule cong :premises (@p24) :args (@t6)) % 0.38/0.59 (step @p26 :rule eq_resolve :premises (@p1 @p25)) % 0.38/0.59 (step @p27 :rule instantiate :premises (@p26) :args ((@list tptp.true @t42 tptp.sK1_ax4_U))) % 0.38/0.59 (step @p28 :rule eq-symm :args (@t7 @t1)) % 0.38/0.59 (step @p29 :rule cong :premises (@p28) :args (@t8)) % 0.38/0.59 (step @p30 :rule eq_resolve :premises (@p2 @p29)) % 0.38/0.59 (step @p31 :rule instantiate :premises (@p30) :args ((@list tptp.true @t43 tptp.true))) % 0.38/0.59 (step @p32 :rule eq-symm :args (@t18 @t10)) % 0.38/0.59 (step @p33 :rule cong :premises (@p32) :args (@t19)) % 0.38/0.59 (step @p34 :rule eq_resolve :premises (@p6 @p33)) % 0.38/0.59 (step @p35 :rule instantiate :premises (@p34) :args (@t44)) % 0.38/0.59 (step @p36 :rule instantiate :premises (@p26) :args ((@list tptp.true @t46 @t41))) % 0.38/0.59 (step @p37 :rule eq-symm :args (@t15 tptp.true)) % 0.38/0.59 (step @p38 :rule cong :premises (@p37) :args (@t17)) % 0.38/0.59 (step @p39 :rule eq_resolve :premises (@p5 @p38)) % 0.38/0.59 (step @p40 :rule instantiate :premises (@p39) :args (@t44)) % 0.38/0.59 (step @p41 :rule eq-symm :args (@t29 @t28)) % 0.38/0.59 (step @p42 :rule cong :premises (@p41) :args (@t30)) % 0.38/0.59 (step @p43 :rule eq_resolve :premises (@p10 @p42)) % 0.38/0.59 (step @p44 :rule instantiate :premises (@p43) :args ((@list @t45 @t45))) % 0.38/0.59 (step @p45 :rule instantiate :premises (@p30) :args ((@list tptp.true @t47 tptp.true))) % 0.38/0.59 (step @p46 :rule eq-symm :args (@t51 @t20)) % 0.38/0.59 (step @p47 :rule cong :premises (@p46) :args (@t52)) % 0.38/0.59 (step @p48 :rule refl :args (@t22)) % 0.38/0.59 (step @p49 :rule cong :premises (@p48 @p47) :args ((=> @t22 @t52))) % 0.38/0.59 (assume-push @p131 @t22) % 0.38/0.59 (step @p51 :rule instantiate :premises (@p7) :args ((@list @t48))) % 0.38/0.59 (step-pop @p132 :rule scope :premises (@p51)) % 0.38/0.59 (step @p52 :rule process_scope :premises (@p132) :args (@t52)) % 0.38/0.59 (step @p54 :rule eq_resolve :premises (@p52 @p49)) % 0.38/0.59 (step @p55 :rule implies_elim :premises (@p54)) % 0.38/0.59 (step @p56 :rule chain_m_resolution :premises (@p55 @p7) :args ((not @t53) (@list false) (@list @t22))) % 0.38/0.59 (step @p57 :rule eq-symm :args (@t24 tptp.true)) % 0.38/0.59 (step @p58 :rule cong :premises (@p57) :args (@t25)) % 0.38/0.59 (step @p59 :rule eq_resolve :premises (@p9 @p58)) % 0.38/0.59 (step @p60 :rule instantiate :premises (@p59) :args ((@list @t45))) % 0.38/0.59 (step @p61 :rule instantiate :premises (@p26) :args ((@list tptp.true @t50 @t54))) % 0.38/0.59 (step @p62 :rule instantiate :premises (@p30) :args ((@list tptp.true @t49 tptp.true))) % 0.38/0.59 (assume-push @p133 @t55) % 0.38/0.59 (assume-push @p134 @t57) % 0.38/0.59 (assume-push @p135 @t59) % 0.38/0.59 (assume-push @p136 @t60) % 0.38/0.59 (assume-push @p137 @t61) % 0.38/0.59 (assume-push @p138 @t63) % 0.38/0.59 (assume-push @p139 @t64) % 0.38/0.59 (assume-push @p140 @t65) % 0.38/0.59 (assume-push @p141 @t68) % 0.38/0.59 (assume-push @p142 @t70) % 0.38/0.59 (assume-push @p143 @t72) % 0.38/0.59 (assume-push @p144 @t73) % 0.38/0.59 (assume-push @p145 @t74) % 0.38/0.59 (step @p76 :rule symm :premises (@p62)) % 0.38/0.59 (step @p77 :rule refl :args (tptp.true)) % 0.38/0.59 (step @p78 :rule refl :args (@t49)) % 0.38/0.59 (step @p79 :rule symm :premises (@p40)) % 0.38/0.59 (step @p80 :rule refl :args (@t47)) % 0.38/0.59 (step @p81 :rule symm :premises (@p31)) % 0.38/0.59 (step @p82 :rule refl :args (@t43)) % 0.38/0.59 (step @p83 :rule cong :premises (@p8 @p77 @p82 @p77) :args (@t56)) % 0.38/0.59 (step @p84 :rule trans :premises (@p8 @p19 @p83 @p81)) % 0.38/0.59 (step @p85 :rule trans :premises (@p15 @p84)) % 0.38/0.59 (step @p86 :rule cong :premises (@p85 @p77 @p80 @p77) :args (@t69)) % 0.38/0.59 (step @p87 :rule trans :premises (@p45 @p86 @p79 @p15)) % 0.38/0.59 (step @p88 :rule trans :premises (@p87 @p8)) % 0.38/0.59 (step @p89 :rule cong :premises (@p88 @p77 @p78 @p77) :args (@t71)) % 0.38/0.59 (step @p90 :rule trans :premises (@p60 @p89 @p76)) % 0.38/0.59 (step @p91 :rule symm :premises (@p61)) % 0.38/0.59 (step @p92 :rule refl :args (@t54)) % 0.38/0.59 (step @p93 :rule refl :args (@t50)) % 0.38/0.59 (step @p94 :rule cong :premises (@p88 @p77 @p93 @p92) :args (@t66)) % 0.38/0.59 (step @p95 :rule trans :premises (@p94 @p91)) % 0.38/0.59 (step @p96 :rule cong :premises (@p77 @p77 @p95 @p92) :args ((tptp.ifeq2 tptp.true tptp.true @t66 @t54))) % 0.38/0.59 (step @p97 :rule refl :args (@t66)) % 0.38/0.59 (step @p98 :rule cong :premises (@p88 @p77 @p97 @p92) :args (@t67)) % 0.38/0.59 (step @p99 :rule symm :premises (@p36)) % 0.38/0.59 (step @p100 :rule refl :args (@t41)) % 0.38/0.59 (step @p101 :rule refl :args (@t46)) % 0.38/0.59 (step @p102 :rule symm :premises (@p85)) % 0.38/0.59 (step @p103 :rule cong :premises (@p102 @p77 @p101 @p100) :args (@t62)) % 0.38/0.59 (step @p104 :rule trans :premises (@p35 @p103 @p99)) % 0.38/0.59 (step @p105 :rule cong :premises (@p104) :args (@t42)) % 0.38/0.59 (step @p106 :rule symm :premises (@p27)) % 0.38/0.59 (step @p107 :rule refl :args (tptp.sK1_ax4_U)) % 0.38/0.59 (step @p108 :rule refl :args (@t42)) % 0.38/0.59 (step @p109 :rule cong :premises (@p8 @p77 @p108 @p107) :args (@t58)) % 0.38/0.59 (step @p110 :rule trans :premises (@p23 @p109 @p106 @p105 @p44 @p98 @p96 @p91)) % 0.38/0.59 (step @p111 :rule cong :premises (@p110 @p90) :args (@t20)) % 0.38/0.59 (step-pop @p146 :rule scope :premises (@p111)) % 0.38/0.59 (step-pop @p147 :rule scope :premises (@p146)) % 0.38/0.59 (step-pop @p148 :rule scope :premises (@p147)) % 0.38/0.59 (step-pop @p149 :rule scope :premises (@p148)) % 0.38/0.59 (step-pop @p150 :rule scope :premises (@p149)) % 0.38/0.59 (step-pop @p151 :rule scope :premises (@p150)) % 0.38/0.59 (step-pop @p152 :rule scope :premises (@p151)) % 0.38/0.59 (step-pop @p153 :rule scope :premises (@p152)) % 0.38/0.59 (step-pop @p154 :rule scope :premises (@p153)) % 0.38/0.59 (step-pop @p155 :rule scope :premises (@p154)) % 0.38/0.59 (step-pop @p156 :rule scope :premises (@p155)) % 0.38/0.59 (step-pop @p157 :rule scope :premises (@p156)) % 0.38/0.59 (step-pop @p158 :rule scope :premises (@p157)) % 0.38/0.59 (step @p112 :rule process_scope :premises (@p158) :args (@t53)) % 0.38/0.59 (step @p126 :rule implies_elim :premises (@p112)) % 0.38/0.59 (step @p127 :rule cnf_and_neg :args (@t75)) % 0.38/0.59 (step @p128 :rule resolution :premises (@p127 @p126) :args (true @t75)) % 0.38/0.59 (step @p129 :rule reordering :premises (@p128) :args ((or (not @t55) (not @t57) (not @t59) (not @t60) (not @t61) (not @t63) (not @t64) (not @t65) (not @t68) @t53 (not @t70) (not @t72) (not @t73) (not @t74)))) % 0.38/0.59 (step @p130 false :rule chain_m_resolution :premises (@p129 @p62 @p61 @p60 @p56 @p45 @p44 @p40 @p36 @p35 @p31 @p27 @p23 @p19 @p15) :args (false (@list false false false true false false false false false false false false false false) (@list @t74 @t73 @t72 @t53 @t70 @t68 @t65 @t64 @t63 @t61 @t60 @t59 @t57 @t55))) % 0.38/0.59 ) % 0.38/0.59 % SZS output end Proof % 0.38/0.59 % cvc5 exiting %------------------------------------------------------------------------------