%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWX204-1 : TPTP v9.3.0. Released v9.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n016.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 09:07:21 AM UTC 2026 % Result : Unsatisfiable 15.45s 15.79s % Output : Proof 15.45s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWX204-1 : TPTP v9.3.0. Released v9.3.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.35 % Computer : n016.cluster.edu % 0.16/0.35 % Model : x86_64 x86_64 % 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.35 % Memory : 8042.1875MB % 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.35 % CPULimit : 300 % 0.16/0.35 % WCLimit : 300 % 0.16/0.35 % DateTime : Tue Jun 2 23:08:09 EDT 2026 % 0.16/0.35 % CPUTime : % 0.26/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.26/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.41/15.62 --- Run --no-e-matching --full-saturate-quant at 6... % 15.45/15.79 % SZS status Unsatisfiable % 15.45/15.79 % SZS output start Proof % 15.45/15.80 ( % 15.45/15.80 (declare-sort $$unsorted 0) % 15.45/15.80 (declare-const tptp.eq2 (-> $$unsorted $$unsorted $$unsorted)) % 15.45/15.80 (declare-const tptp.btrue $$unsorted) % 15.45/15.80 (declare-const tptp.bfalse $$unsorted) % 15.45/15.80 (declare-const tptp.mul_idem (-> $$unsorted $$unsorted)) % 15.45/15.80 (declare-const tptp.eq (-> $$unsorted $$unsorted $$unsorted)) % 15.45/15.80 (declare-const tptp.s (-> $$unsorted $$unsorted)) % 15.45/15.80 (declare-const tptp.x2 (-> $$unsorted $$unsorted $$unsorted)) % 15.45/15.80 (declare-const tptp.x22 (-> $$unsorted $$unsorted $$unsorted)) % 15.45/15.80 (declare-const tptp.z $$unsorted) % 15.45/15.80 (define @t1 () (@var "Y" $$unsorted)) % 15.45/15.80 (define @t2 () (tptp.x2 tptp.z @t1)) % 15.45/15.80 (define @t3 () (@list @t1)) % 15.45/15.80 (define @t4 () (forall @t3 (= @t2 @t1))) % 15.45/15.80 (define @t5 () (@var "N" $$unsorted)) % 15.45/15.80 (define @t6 () (tptp.s @t5)) % 15.45/15.80 (define @t7 () (@list @t5 @t1)) % 15.45/15.80 (define @t8 () (tptp.x22 tptp.z @t1)) % 15.45/15.80 (define @t9 () (forall @t3 (= @t8 tptp.z))) % 15.45/15.80 (define @t10 () (@var "X" $$unsorted)) % 15.45/15.80 (define @t11 () (tptp.mul_idem @t10)) % 15.45/15.80 (define @t12 () (@list @t10)) % 15.45/15.80 (define @t13 () (tptp.s @t10)) % 15.45/15.80 (define @t14 () (forall (@list @t10 @t1) (= (tptp.eq @t13 (tptp.s @t1)) (tptp.eq @t10 @t1)))) % 15.45/15.80 (define @t15 () (tptp.eq @t13 tptp.z)) % 15.45/15.80 (define @t16 () (forall @t12 (= @t15 tptp.bfalse))) % 15.45/15.80 (define @t17 () (tptp.eq2 @t10 @t10)) % 15.45/15.80 (define @t18 () (forall @t12 (= @t17 tptp.btrue))) % 15.45/15.80 (define @t19 () (tptp.eq2 @t11 tptp.bfalse)) % 15.45/15.80 (define @t20 () (not (= @t19 tptp.btrue))) % 15.45/15.80 (define @t21 () (forall @t12 @t20)) % 15.45/15.80 (define @t22 () (tptp.x22 tptp.z tptp.z)) % 15.45/15.80 (define @t23 () (tptp.s tptp.z)) % 15.45/15.80 (define @t24 () (tptp.s @t23)) % 15.45/15.80 (define @t25 () (@list @t24)) % 15.45/15.80 (define @t26 () (tptp.mul_idem @t24)) % 15.45/15.80 (define @t27 () (@list tptp.z @t24)) % 15.45/15.80 (define @t28 () (tptp.s @t24)) % 15.45/15.80 (define @t29 () (tptp.eq @t28 @t23)) % 15.45/15.80 (define @t30 () (tptp.eq @t24 tptp.z)) % 15.45/15.80 (define @t31 () (= @t29 @t30)) % 15.45/15.80 (define @t32 () (@list @t24 tptp.z)) % 15.45/15.80 (define @t33 () (= @t30 @t29)) % 15.45/15.80 (define @t34 () (@list false)) % 15.45/15.80 (define @t35 () (@list @t14)) % 15.45/15.80 (define @t36 () (@list @t23 @t24)) % 15.45/15.80 (define @t37 () (tptp.eq (tptp.s @t28) @t24)) % 15.45/15.80 (define @t38 () (= @t37 @t29)) % 15.45/15.80 (define @t39 () (@list @t28 @t23)) % 15.45/15.80 (define @t40 () (= @t29 @t37)) % 15.45/15.80 (define @t41 () (= tptp.z @t22)) % 15.45/15.80 (define @t42 () (tptp.x2 tptp.z @t22)) % 15.45/15.80 (define @t43 () (= @t22 @t42)) % 15.45/15.80 (define @t44 () (tptp.s @t42)) % 15.45/15.80 (define @t45 () (tptp.x2 @t23 @t22)) % 15.45/15.80 (define @t46 () (= @t45 @t44)) % 15.45/15.80 (define @t47 () (= tptp.bfalse @t30)) % 15.45/15.80 (define @t48 () (tptp.x2 tptp.z @t24)) % 15.45/15.80 (define @t49 () (= @t24 @t48)) % 15.45/15.80 (define @t50 () (tptp.x22 tptp.z @t24)) % 15.45/15.80 (define @t51 () (= tptp.z @t50)) % 15.45/15.80 (define @t52 () (tptp.x22 @t24 @t24)) % 15.45/15.80 (define @t53 () (tptp.eq @t52 @t24)) % 15.45/15.80 (define @t54 () (= @t26 @t53)) % 15.45/15.80 (define @t55 () (tptp.eq2 @t26 @t26)) % 15.45/15.80 (define @t56 () (= tptp.btrue @t55)) % 15.45/15.80 (define @t57 () (tptp.s @t45)) % 15.45/15.80 (define @t58 () (= (tptp.x2 @t24 @t22) @t57)) % 15.45/15.80 (define @t59 () (tptp.s @t48)) % 15.45/15.80 (define @t60 () (tptp.x2 @t23 @t24)) % 15.45/15.80 (define @t61 () (= @t60 @t59)) % 15.45/15.80 (define @t62 () (tptp.x2 @t24 @t50)) % 15.45/15.80 (define @t63 () (tptp.x22 @t23 @t24)) % 15.45/15.80 (define @t64 () (= @t63 @t62)) % 15.45/15.80 (define @t65 () (tptp.s @t60)) % 15.45/15.80 (define @t66 () (= (tptp.x2 @t24 @t24) @t65)) % 15.45/15.80 (define @t67 () (tptp.x2 @t24 @t63)) % 15.45/15.80 (define @t68 () (= @t52 @t67)) % 15.45/15.80 (define @t69 () (= tptp.btrue (tptp.eq2 @t26 tptp.bfalse))) % 15.45/15.80 (define @t70 () (and @t41 @t43 @t46 @t47 @t49 @t51 @t54 @t56 @t58 @t61 @t64 @t33 @t66 @t68 @t40)) % 15.45/15.80 (assume @p1 @t4) % 15.45/15.80 (assume @p2 (forall @t7 (= (tptp.x2 @t6 @t1) (tptp.s (tptp.x2 @t5 @t1))))) % 15.45/15.80 (assume @p3 @t9) % 15.45/15.80 (assume @p4 (forall @t7 (= (tptp.x22 @t6 @t1) (tptp.x2 @t1 (tptp.x22 @t5 @t1))))) % 15.45/15.80 (assume @p5 (forall @t12 (= @t11 (tptp.eq (tptp.x22 @t10 @t10) @t10)))) % 15.45/15.80 (assume @p6 (= (tptp.eq2 tptp.bfalse tptp.btrue) tptp.bfalse)) % 15.45/15.80 (assume @p7 (= (tptp.eq2 tptp.btrue tptp.bfalse) tptp.bfalse)) % 15.45/15.80 (assume @p8 @t14) % 15.45/15.80 (assume @p9 (forall @t12 (= (tptp.eq tptp.z @t13) tptp.bfalse))) % 15.45/15.80 (assume @p10 @t16) % 15.45/15.80 (assume @p11 (forall @t12 (= (tptp.eq @t10 @t10) tptp.btrue))) % 15.45/15.80 (assume @p12 @t18) % 15.45/15.80 (assume @p13 @t21) % 15.45/15.80 (step @p14 :rule eq-symm :args (@t8 tptp.z)) % 15.45/15.80 (step @p15 :rule cong :premises (@p14) :args (@t9)) % 15.45/15.80 (step @p16 :rule eq_resolve :premises (@p3 @p15)) % 15.45/15.80 (step @p17 :rule instantiate :premises (@p16) :args ((@list tptp.z))) % 15.45/15.80 (step @p18 :rule eq-symm :args (@t2 @t1)) % 15.45/15.80 (step @p19 :rule cong :premises (@p18) :args (@t4)) % 15.45/15.80 (step @p20 :rule eq_resolve :premises (@p1 @p19)) % 15.45/15.80 (step @p21 :rule instantiate :premises (@p20) :args ((@list @t22))) % 15.45/15.80 (step @p22 :rule instantiate :premises (@p2) :args ((@list tptp.z @t22))) % 15.45/15.80 (step @p23 :rule eq-symm :args (@t15 tptp.bfalse)) % 15.45/15.80 (step @p24 :rule cong :premises (@p23) :args (@t16)) % 15.45/15.80 (step @p25 :rule eq_resolve :premises (@p10 @p24)) % 15.45/15.80 (step @p26 :rule instantiate :premises (@p25) :args ((@list @t23))) % 15.45/15.80 (step @p27 :rule instantiate :premises (@p20) :args (@t25)) % 15.45/15.80 (step @p28 :rule instantiate :premises (@p16) :args (@t25)) % 15.45/15.80 (step @p29 :rule instantiate :premises (@p5) :args (@t25)) % 15.45/15.80 (step @p30 :rule eq-symm :args (@t19 tptp.btrue)) % 15.45/15.80 (step @p31 :rule cong :premises (@p30) :args (@t20)) % 15.45/15.80 (step @p32 :rule cong :premises (@p31) :args (@t21)) % 15.45/15.80 (step @p33 :rule eq_resolve :premises (@p13 @p32)) % 15.45/15.80 (step @p34 :rule instantiate :premises (@p33) :args (@t25)) % 15.45/15.80 (step @p35 :rule eq-symm :args (@t17 tptp.btrue)) % 15.45/15.80 (step @p36 :rule cong :premises (@p35) :args (@t18)) % 15.45/15.80 (step @p37 :rule eq_resolve :premises (@p12 @p36)) % 15.45/15.80 (step @p38 :rule instantiate :premises (@p37) :args ((@list @t26))) % 15.45/15.80 (step @p39 :rule instantiate :premises (@p2) :args ((@list @t23 @t22))) % 15.45/15.80 (step @p40 :rule instantiate :premises (@p2) :args (@t27)) % 15.45/15.80 (step @p41 :rule instantiate :premises (@p4) :args (@t27)) % 15.45/15.80 (step @p42 :rule eq-symm :args (@t29 @t30)) % 15.45/15.80 (step @p43 :rule refl :args (@t14)) % 15.45/15.80 (step @p44 :rule cong :premises (@p43 @p42) :args ((=> @t14 @t31))) % 15.45/15.80 (assume-push @p122 @t14) % 15.45/15.80 (step @p46 :rule instantiate :premises (@p8) :args (@t32)) % 15.45/15.80 (step-pop @p123 :rule scope :premises (@p46)) % 15.45/15.80 (step @p47 :rule process_scope :premises (@p123) :args (@t31)) % 15.45/15.80 (step @p49 :rule eq_resolve :premises (@p47 @p44)) % 15.45/15.80 (step @p50 :rule implies_elim :premises (@p49)) % 15.45/15.80 (step @p51 :rule chain_m_resolution :premises (@p50 @p8) :args (@t33 @t34 @t35)) % 15.45/15.80 (step @p52 :rule instantiate :premises (@p2) :args (@t36)) % 15.45/15.80 (step @p53 :rule instantiate :premises (@p4) :args (@t36)) % 15.45/15.80 (step @p54 :rule eq-symm :args (@t37 @t29)) % 15.45/15.80 (step @p55 :rule cong :premises (@p43 @p54) :args ((=> @t14 @t38))) % 15.45/15.80 (assume-push @p124 @t14) % 15.45/15.80 (step @p57 :rule instantiate :premises (@p8) :args (@t39)) % 15.45/15.80 (step-pop @p125 :rule scope :premises (@p57)) % 15.45/15.80 (step @p58 :rule process_scope :premises (@p125) :args (@t38)) % 15.45/15.80 (step @p60 :rule eq_resolve :premises (@p58 @p55)) % 15.45/15.80 (step @p61 :rule implies_elim :premises (@p60)) % 15.45/15.80 (step @p62 :rule chain_m_resolution :premises (@p61 @p8) :args (@t40 @t34 @t35)) % 15.45/15.80 (assume-push @p126 @t41) % 15.45/15.80 (assume-push @p127 @t43) % 15.45/15.80 (assume-push @p128 @t46) % 15.45/15.80 (assume-push @p129 @t47) % 15.45/15.80 (assume-push @p130 @t49) % 15.45/15.80 (assume-push @p131 @t51) % 15.45/15.80 (assume-push @p132 @t54) % 15.45/15.80 (assume-push @p133 @t56) % 15.45/15.80 (assume-push @p134 @t58) % 15.45/15.80 (assume-push @p135 @t61) % 15.45/15.80 (assume-push @p136 @t64) % 15.45/15.80 (assume-push @p137 @t33) % 15.45/15.80 (assume-push @p138 @t66) % 15.45/15.80 (assume-push @p139 @t68) % 15.45/15.80 (assume-push @p140 @t40) % 15.45/15.80 (step @p78 :rule symm :premises (@p26)) % 15.45/15.80 (step @p46 :rule instantiate :premises (@p8) :args (@t32)) % 15.45/15.80 (step @p57 :rule instantiate :premises (@p8) :args (@t39)) % 15.45/15.80 (step @p79 :rule refl :args (@t24)) % 15.45/15.80 (step @p80 :rule symm :premises (@p27)) % 15.45/15.80 (step @p81 :rule cong :premises (@p80) :args (@t59)) % 15.45/15.80 (step @p82 :rule trans :premises (@p40 @p81)) % 15.45/15.80 (step @p83 :rule cong :premises (@p82) :args (@t65)) % 15.45/15.80 (step @p84 :rule symm :premises (@p17)) % 15.45/15.80 (step @p85 :rule symm :premises (@p21)) % 15.45/15.80 (step @p86 :rule trans :premises (@p85 @p84)) % 15.45/15.80 (step @p87 :rule cong :premises (@p86) :args (@t44)) % 15.45/15.80 (step @p88 :rule trans :premises (@p22 @p87)) % 15.45/15.80 (step @p89 :rule cong :premises (@p88) :args (@t57)) % 15.45/15.80 (step @p90 :rule symm :premises (@p28)) % 15.45/15.80 (step @p91 :rule trans :premises (@p90 @p17)) % 15.45/15.80 (step @p92 :rule cong :premises (@p79 @p91) :args (@t62)) % 15.45/15.80 (step @p93 :rule trans :premises (@p41 @p92 @p39 @p89)) % 15.45/15.80 (step @p94 :rule cong :premises (@p79 @p93) :args (@t67)) % 15.45/15.80 (step @p95 :rule trans :premises (@p53 @p94 @p52 @p83)) % 15.45/15.80 (step @p96 :rule cong :premises (@p95 @p79) :args (@t53)) % 15.45/15.80 (step @p97 :rule trans :premises (@p29 @p96 @p57 @p46 @p78)) % 15.45/15.80 (step @p98 :rule refl :args (@t26)) % 15.45/15.80 (step @p99 :rule cong :premises (@p98 @p97) :args (@t55)) % 15.45/15.80 (step @p100 :rule trans :premises (@p38 @p99)) % 15.45/15.80 (step-pop @p141 :rule scope :premises (@p100)) % 15.45/15.80 (step-pop @p142 :rule scope :premises (@p141)) % 15.45/15.80 (step-pop @p143 :rule scope :premises (@p142)) % 15.45/15.80 (step-pop @p144 :rule scope :premises (@p143)) % 15.45/15.80 (step-pop @p145 :rule scope :premises (@p144)) % 15.45/15.80 (step-pop @p146 :rule scope :premises (@p145)) % 15.45/15.80 (step-pop @p147 :rule scope :premises (@p146)) % 15.45/15.80 (step-pop @p148 :rule scope :premises (@p147)) % 15.45/15.80 (step-pop @p149 :rule scope :premises (@p148)) % 15.45/15.80 (step-pop @p150 :rule scope :premises (@p149)) % 15.45/15.80 (step-pop @p151 :rule scope :premises (@p150)) % 15.45/15.80 (step-pop @p152 :rule scope :premises (@p151)) % 15.45/15.80 (step-pop @p153 :rule scope :premises (@p152)) % 15.45/15.80 (step-pop @p154 :rule scope :premises (@p153)) % 15.45/15.80 (step-pop @p155 :rule scope :premises (@p154)) % 15.45/15.80 (step @p101 :rule process_scope :premises (@p155) :args (@t69)) % 15.45/15.80 (step @p117 :rule implies_elim :premises (@p101)) % 15.45/15.80 (step @p118 :rule cnf_and_neg :args (@t70)) % 15.45/15.80 (step @p119 :rule resolution :premises (@p118 @p117) :args (true @t70)) % 15.45/15.80 (step @p120 :rule reordering :premises (@p119) :args ((or (not @t41) (not @t43) (not @t46) (not @t47) (not @t49) @t69 (not @t51) (not @t54) (not @t56) (not @t58) (not @t61) (not @t64) (not @t33) (not @t66) (not @t68) (not @t40)))) % 15.45/15.80 (step @p121 false :rule chain_m_resolution :premises (@p120 @p62 @p53 @p52 @p51 @p41 @p40 @p39 @p38 @p34 @p29 @p28 @p27 @p26 @p22 @p21 @p17) :args (false (@list false false false false false false false false true false false false false false false false) (@list @t40 @t68 @t66 @t33 @t64 @t61 @t58 @t56 @t69 @t54 @t51 @t49 @t47 @t46 @t43 @t41))) % 15.45/15.80 ) % 15.45/15.80 % SZS output end Proof % 15.45/15.80 % cvc5 exiting %------------------------------------------------------------------------------