%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWX204+1 : TPTP v9.3.0. Released v9.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n019.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 : Theorem 15.38s 15.99s % Output : Proof 15.38s % 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/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n019.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 23:07:19 EDT 2026 % 0.17/0.35 % CPUTime : % 0.29/0.49 %----Proving TF0_NAR, FOF, or CNF % 15.38/15.99 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.38/15.99 --- Run --no-e-matching --full-saturate-quant at 6... % 15.38/15.99 % SZS status Theorem % 15.38/15.99 % SZS output start Proof % 15.38/15.99 ( % 15.38/15.99 (declare-sort $$unsorted 0) % 15.38/15.99 (declare-const tptp.x22 (-> $$unsorted $$unsorted $$unsorted)) % 15.38/15.99 (declare-const tptp.x2 (-> $$unsorted $$unsorted $$unsorted)) % 15.38/15.99 (declare-const tptp.z $$unsorted) % 15.38/15.99 (declare-const tptp.proj1S (-> $$unsorted $$unsorted)) % 15.38/15.99 (declare-const tptp.s (-> $$unsorted $$unsorted)) % 15.38/15.99 (define @t1 () (@var "X" $$unsorted)) % 15.38/15.99 (define @t2 () (tptp.s @t1)) % 15.38/15.99 (define @t3 () (tptp.proj1S @t2)) % 15.38/15.99 (define @t4 () (@list @t1)) % 15.38/15.99 (define @t5 () (forall @t4 (= @t3 @t1))) % 15.38/15.99 (define @t6 () (not (= tptp.z @t2))) % 15.38/15.99 (define @t7 () (forall @t4 @t6)) % 15.38/15.99 (define @t8 () (@var "Y" $$unsorted)) % 15.38/15.99 (define @t9 () (tptp.x2 tptp.z @t8)) % 15.38/15.99 (define @t10 () (@list @t8)) % 15.38/15.99 (define @t11 () (forall @t10 (= @t9 @t8))) % 15.38/15.99 (define @t12 () (@var "N" $$unsorted)) % 15.38/15.99 (define @t13 () (tptp.s @t12)) % 15.38/15.99 (define @t14 () (@list @t8 @t12)) % 15.38/15.99 (define @t15 () (tptp.x22 tptp.z @t8)) % 15.38/15.99 (define @t16 () (forall @t10 (= @t15 tptp.z))) % 15.38/15.99 (define @t17 () (tptp.x22 @t1 @t1)) % 15.38/15.99 (define @t18 () (not (= @t17 @t1))) % 15.38/15.99 (define @t19 () (exists @t4 @t18)) % 15.38/15.99 (define @t20 () (not @t19)) % 15.38/15.99 (define @t21 () (@list tptp.z)) % 15.38/15.99 (define @t22 () (tptp.x22 tptp.z tptp.z)) % 15.38/15.99 (define @t23 () (tptp.s tptp.z)) % 15.38/15.99 (define @t24 () (@list @t23)) % 15.38/15.99 (define @t25 () (tptp.s @t23)) % 15.38/15.99 (define @t26 () (not (= @t25 tptp.z))) % 15.38/15.99 (define @t27 () (forall @t4 (not (= @t2 tptp.z)))) % 15.38/15.99 (define @t28 () (= tptp.z @t25)) % 15.38/15.99 (define @t29 () (= @t1 @t17)) % 15.38/15.99 (define @t30 () (not @t29)) % 15.38/15.99 (define @t31 () (forall @t4 (not @t30))) % 15.38/15.99 (define @t32 () (not @t31)) % 15.38/15.99 (define @t33 () (@list @t25)) % 15.38/15.99 (define @t34 () (tptp.s @t25)) % 15.38/15.99 (define @t35 () (tptp.x22 @t25 @t23)) % 15.38/15.99 (define @t36 () (@list @t25 @t23)) % 15.38/15.99 (define @t37 () (tptp.proj1S @t23)) % 15.38/15.99 (define @t38 () (= tptp.z @t37)) % 15.38/15.99 (define @t39 () (= tptp.z @t22)) % 15.38/15.99 (define @t40 () (tptp.x2 tptp.z @t22)) % 15.38/15.99 (define @t41 () (= @t22 @t40)) % 15.38/15.99 (define @t42 () (tptp.s @t40)) % 15.38/15.99 (define @t43 () (tptp.x2 @t23 @t22)) % 15.38/15.99 (define @t44 () (= @t43 @t42)) % 15.38/15.99 (define @t45 () (tptp.x2 tptp.z @t23)) % 15.38/15.99 (define @t46 () (= @t23 @t45)) % 15.38/15.99 (define @t47 () (tptp.proj1S @t25)) % 15.38/15.99 (define @t48 () (= @t23 @t47)) % 15.38/15.99 (define @t49 () (tptp.x22 @t23 @t23)) % 15.38/15.99 (define @t50 () (= @t23 @t49)) % 15.38/15.99 (define @t51 () (= @t25 (tptp.x2 tptp.z @t25))) % 15.38/15.99 (define @t52 () (tptp.s @t43)) % 15.38/15.99 (define @t53 () (= (tptp.x2 @t25 @t22) @t52)) % 15.38/15.99 (define @t54 () (= @t25 (tptp.proj1S @t34))) % 15.38/15.99 (define @t55 () (tptp.x22 tptp.z @t25)) % 15.38/15.99 (define @t56 () (= tptp.z @t55)) % 15.38/15.99 (define @t57 () (tptp.x22 @t25 @t25)) % 15.38/15.99 (define @t58 () (= @t25 @t57)) % 15.38/15.99 (define @t59 () (tptp.s @t45)) % 15.38/15.99 (define @t60 () (= (tptp.x2 @t23 @t23) @t59)) % 15.38/15.99 (define @t61 () (tptp.x2 @t23 @t49)) % 15.38/15.99 (define @t62 () (= @t35 @t61)) % 15.38/15.99 (define @t63 () (= @t34 (tptp.proj1S (tptp.s @t34)))) % 15.38/15.99 (define @t64 () (tptp.x2 tptp.z @t35)) % 15.38/15.99 (define @t65 () (tptp.s @t64)) % 15.38/15.99 (define @t66 () (= (tptp.x2 @t23 @t35) @t65)) % 15.38/15.99 (define @t67 () (tptp.x2 @t25 @t55)) % 15.38/15.99 (define @t68 () (tptp.x22 @t23 @t25)) % 15.38/15.99 (define @t69 () (= @t68 @t67)) % 15.38/15.99 (define @t70 () (tptp.x2 @t23 @t25)) % 15.38/15.99 (define @t71 () (tptp.s @t70)) % 15.38/15.99 (define @t72 () (= (tptp.x2 @t25 @t25) @t71)) % 15.38/15.99 (define @t73 () (tptp.x2 @t25 @t68)) % 15.38/15.99 (define @t74 () (= @t57 @t73)) % 15.38/15.99 (define @t75 () (and @t38 @t39 @t41 @t44 @t46 @t48 @t50 @t51 @t53 @t54 @t56 @t58 @t60 @t62 @t63 @t66 @t69 @t72 @t74)) % 15.38/15.99 (assume @p1 @t5) % 15.38/15.99 (assume @p2 @t7) % 15.38/15.99 (assume @p3 @t11) % 15.38/15.99 (assume @p4 (forall @t14 (= (tptp.x2 @t13 @t8) (tptp.s (tptp.x2 @t12 @t8))))) % 15.38/15.99 (assume @p5 @t16) % 15.38/15.99 (assume @p6 (forall @t14 (= (tptp.x22 @t13 @t8) (tptp.x2 @t8 (tptp.x22 @t12 @t8))))) % 15.38/15.99 (assume @p7 @t20) % 15.38/15.99 (assume @p8 true) % 15.38/15.99 (step @p9 :rule eq-symm :args (@t3 @t1)) % 15.38/15.99 (step @p10 :rule cong :premises (@p9) :args (@t5)) % 15.38/15.99 (step @p11 :rule eq_resolve :premises (@p1 @p10)) % 15.38/15.99 (step @p12 :rule instantiate :premises (@p11) :args (@t21)) % 15.38/15.99 (step @p13 :rule eq-symm :args (@t15 tptp.z)) % 15.38/15.99 (step @p14 :rule cong :premises (@p13) :args (@t16)) % 15.38/15.99 (step @p15 :rule eq_resolve :premises (@p5 @p14)) % 15.38/15.99 (step @p16 :rule instantiate :premises (@p15) :args (@t21)) % 15.38/15.99 (step @p17 :rule eq-symm :args (@t9 @t8)) % 15.38/15.99 (step @p18 :rule cong :premises (@p17) :args (@t11)) % 15.38/15.99 (step @p19 :rule eq_resolve :premises (@p3 @p18)) % 15.38/15.99 (step @p20 :rule instantiate :premises (@p19) :args ((@list @t22))) % 15.38/15.99 (step @p21 :rule instantiate :premises (@p4) :args ((@list @t22 tptp.z))) % 15.38/15.99 (step @p22 :rule instantiate :premises (@p19) :args (@t24)) % 15.38/15.99 (step @p23 :rule instantiate :premises (@p11) :args (@t24)) % 15.38/15.99 (step @p24 :rule eq-symm :args (tptp.z @t2)) % 15.38/15.99 (step @p25 :rule cong :premises (@p24) :args (@t6)) % 15.38/15.99 (step @p26 :rule cong :premises (@p25) :args (@t7)) % 15.38/15.99 (step @p27 :rule eq_resolve :premises (@p2 @p26)) % 15.38/15.99 (step @p28 :rule eq-symm :args (@t25 tptp.z)) % 15.38/15.99 (step @p29 :rule cong :premises (@p28) :args (@t26)) % 15.38/15.99 (step @p30 :rule refl :args (@t27)) % 15.38/15.99 (step @p31 :rule cong :premises (@p30 @p29) :args ((=> @t27 @t26))) % 15.38/15.99 (assume-push @p143 @t27) % 15.38/15.99 (step @p33 :rule instantiate :premises (@p27) :args (@t24)) % 15.38/15.99 (step-pop @p144 :rule scope :premises (@p33)) % 15.38/15.99 (step @p34 :rule process_scope :premises (@p144) :args (@t26)) % 15.38/15.99 (step @p36 :rule eq_resolve :premises (@p34 @p31)) % 15.38/15.99 (step @p37 :rule implies_elim :premises (@p36)) % 15.38/15.99 (step @p38 :rule chain_m_resolution :premises (@p37 @p27) :args ((not @t28) (@list false) (@list @t27))) % 15.38/15.99 (step @p39 :rule bool-double-not-elim :args ((forall @t4 @t29))) % 15.38/15.99 (step @p40 :rule bool-double-not-elim :args (@t29)) % 15.38/15.99 (step @p41 :rule cong :premises (@p40) :args (@t31)) % 15.38/15.99 (step @p42 :rule cong :premises (@p41) :args (@t32)) % 15.38/15.99 (step @p43 :rule exists-elim :args ((= (exists @t4 @t30) @t32))) % 15.38/15.99 (step @p44 :rule trans :premises (@p43 @p42)) % 15.38/15.99 (step @p45 :rule eq-symm :args (@t17 @t1)) % 15.38/15.99 (step @p46 :rule cong :premises (@p45) :args (@t18)) % 15.38/15.99 (step @p47 :rule cong :premises (@p46) :args (@t19)) % 15.38/15.99 (step @p48 :rule trans :premises (@p47 @p44)) % 15.38/15.99 (step @p49 :rule cong :premises (@p48) :args (@t20)) % 15.38/15.99 (step @p50 :rule trans :premises (@p49 @p39)) % 15.38/15.99 (step @p51 :rule eq_resolve :premises (@p7 @p50)) % 15.38/15.99 (step @p52 :rule instantiate :premises (@p51) :args (@t24)) % 15.38/15.99 (step @p53 :rule instantiate :premises (@p19) :args (@t33)) % 15.38/15.99 (step @p54 :rule instantiate :premises (@p4) :args ((@list @t22 @t23))) % 15.38/15.99 (step @p55 :rule instantiate :premises (@p11) :args (@t33)) % 15.38/15.99 (step @p56 :rule instantiate :premises (@p15) :args (@t33)) % 15.38/15.99 (step @p57 :rule instantiate :premises (@p51) :args (@t33)) % 15.38/15.99 (step @p58 :rule instantiate :premises (@p4) :args ((@list @t23 tptp.z))) % 15.38/15.99 (step @p59 :rule instantiate :premises (@p6) :args ((@list @t23 @t23))) % 15.38/15.99 (step @p60 :rule instantiate :premises (@p11) :args ((@list @t34))) % 15.38/15.99 (step @p61 :rule instantiate :premises (@p4) :args ((@list @t35 tptp.z))) % 15.38/15.99 (step @p62 :rule instantiate :premises (@p6) :args ((@list @t25 tptp.z))) % 15.38/15.99 (step @p63 :rule instantiate :premises (@p4) :args (@t36)) % 15.38/15.99 (step @p64 :rule instantiate :premises (@p6) :args (@t36)) % 15.38/15.99 (assume-push @p145 @t38) % 15.38/15.99 (assume-push @p146 @t39) % 15.38/15.99 (assume-push @p147 @t41) % 15.38/15.99 (assume-push @p148 @t44) % 15.38/15.99 (assume-push @p149 @t46) % 15.38/15.99 (assume-push @p150 @t48) % 15.38/15.99 (assume-push @p151 @t50) % 15.38/15.99 (assume-push @p152 @t51) % 15.38/15.99 (assume-push @p153 @t53) % 15.38/15.99 (assume-push @p154 @t54) % 15.38/15.99 (assume-push @p155 @t56) % 15.38/15.99 (assume-push @p156 @t58) % 15.38/15.99 (assume-push @p157 @t60) % 15.38/15.99 (assume-push @p158 @t62) % 15.38/15.99 (assume-push @p159 @t63) % 15.38/15.99 (assume-push @p160 @t66) % 15.38/15.99 (assume-push @p161 @t69) % 15.38/15.99 (assume-push @p162 @t72) % 15.38/15.99 (assume-push @p163 @t74) % 15.38/15.99 (step @p84 :rule symm :premises (@p55)) % 15.38/15.99 (step @p85 :rule symm :premises (@p60)) % 15.38/15.99 (step @p86 :rule symm :premises (@p53)) % 15.38/15.99 (step @p87 :rule symm :premises (@p22)) % 15.38/15.99 (step @p88 :rule cong :premises (@p87) :args (@t59)) % 15.38/15.99 (step @p89 :rule symm :premises (@p52)) % 15.38/15.99 (step @p90 :rule refl :args (@t23)) % 15.38/15.99 (step @p91 :rule cong :premises (@p90 @p89) :args (@t61)) % 15.38/15.99 (step @p92 :rule trans :premises (@p59 @p91 @p58 @p88)) % 15.38/15.99 (step @p93 :rule refl :args (tptp.z)) % 15.38/15.99 (step @p94 :rule cong :premises (@p93 @p92) :args (@t64)) % 15.38/15.99 (step @p95 :rule trans :premises (@p94 @p86)) % 15.38/15.99 (step @p96 :rule cong :premises (@p95) :args (@t65)) % 15.38/15.99 (step @p97 :rule symm :premises (@p92)) % 15.38/15.99 (step @p98 :rule cong :premises (@p90 @p97) :args (@t70)) % 15.38/15.99 (step @p99 :rule trans :premises (@p98 @p61 @p96)) % 15.38/15.99 (step @p100 :rule cong :premises (@p99) :args (@t71)) % 15.38/15.99 (step @p101 :rule symm :premises (@p16)) % 15.38/15.99 (step @p102 :rule symm :premises (@p20)) % 15.38/15.99 (step @p103 :rule trans :premises (@p102 @p101)) % 15.38/15.99 (step @p104 :rule cong :premises (@p103) :args (@t42)) % 15.38/15.99 (step @p105 :rule trans :premises (@p21 @p104)) % 15.38/16.00 (step @p106 :rule cong :premises (@p105) :args (@t52)) % 15.38/16.00 (step @p107 :rule symm :premises (@p56)) % 15.38/16.00 (step @p108 :rule trans :premises (@p107 @p16)) % 15.38/16.00 (step @p109 :rule refl :args (@t25)) % 15.38/16.00 (step @p110 :rule cong :premises (@p109 @p108) :args (@t67)) % 15.38/16.00 (step @p111 :rule trans :premises (@p62 @p110 @p54 @p106)) % 15.38/16.00 (step @p112 :rule cong :premises (@p109 @p111) :args (@t73)) % 15.38/16.00 (step @p113 :rule trans :premises (@p57 @p64 @p112 @p63 @p100)) % 15.38/16.00 (step @p114 :rule cong :premises (@p113) :args (@t47)) % 15.38/16.00 (step @p115 :rule trans :premises (@p23 @p114 @p85)) % 15.38/16.00 (step @p116 :rule cong :premises (@p115) :args (@t37)) % 15.38/16.00 (step @p117 :rule trans :premises (@p12 @p116 @p84)) % 15.38/16.00 (step-pop @p164 :rule scope :premises (@p117)) % 15.38/16.00 (step-pop @p165 :rule scope :premises (@p164)) % 15.38/16.00 (step-pop @p166 :rule scope :premises (@p165)) % 15.38/16.00 (step-pop @p167 :rule scope :premises (@p166)) % 15.38/16.00 (step-pop @p168 :rule scope :premises (@p167)) % 15.38/16.00 (step-pop @p169 :rule scope :premises (@p168)) % 15.38/16.00 (step-pop @p170 :rule scope :premises (@p169)) % 15.38/16.00 (step-pop @p171 :rule scope :premises (@p170)) % 15.38/16.00 (step-pop @p172 :rule scope :premises (@p171)) % 15.38/16.00 (step-pop @p173 :rule scope :premises (@p172)) % 15.38/16.00 (step-pop @p174 :rule scope :premises (@p173)) % 15.38/16.00 (step-pop @p175 :rule scope :premises (@p174)) % 15.38/16.00 (step-pop @p176 :rule scope :premises (@p175)) % 15.38/16.00 (step-pop @p177 :rule scope :premises (@p176)) % 15.38/16.00 (step-pop @p178 :rule scope :premises (@p177)) % 15.38/16.00 (step-pop @p179 :rule scope :premises (@p178)) % 15.38/16.00 (step-pop @p180 :rule scope :premises (@p179)) % 15.38/16.00 (step-pop @p181 :rule scope :premises (@p180)) % 15.38/16.00 (step-pop @p182 :rule scope :premises (@p181)) % 15.38/16.00 (step @p118 :rule process_scope :premises (@p182) :args (@t28)) % 15.38/16.00 (step @p138 :rule implies_elim :premises (@p118)) % 15.38/16.00 (step @p139 :rule cnf_and_neg :args (@t75)) % 15.38/16.00 (step @p140 :rule resolution :premises (@p139 @p138) :args (true @t75)) % 15.38/16.00 (step @p141 :rule reordering :premises (@p140) :args ((or (not @t38) (not @t39) (not @t41) (not @t44) (not @t46) @t28 (not @t48) (not @t50) (not @t51) (not @t53) (not @t54) (not @t56) (not @t58) (not @t60) (not @t62) (not @t63) (not @t66) (not @t69) (not @t72) (not @t74)))) % 15.38/16.00 (step @p142 false :rule chain_m_resolution :premises (@p141 @p64 @p63 @p62 @p61 @p60 @p59 @p58 @p57 @p56 @p55 @p54 @p53 @p52 @p38 @p23 @p22 @p21 @p20 @p16 @p12) :args (false (@list false false false false false false false false false false false false false true false false false false false false) (@list @t74 @t72 @t69 @t66 @t63 @t62 @t60 @t58 @t56 @t54 @t53 @t51 @t50 @t28 @t48 @t46 @t44 @t41 @t39 @t38))) % 15.38/16.00 ) % 15.38/16.00 % SZS output end Proof % 15.38/16.00 % cvc5 exiting %------------------------------------------------------------------------------