%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP685-11 : TPTP v9.2.1. Released v8.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n007.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 08:21:18 AM UTC 2026 % Result : Unsatisfiable 15.84s 16.12s % Output : Proof 15.84s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.13 % Problem : GRP685-11 : TPTP v9.2.1. Released v8.1.0. % 0.11/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.35 % Computer : n007.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 01:50:41 EDT 2026 % 0.16/0.35 % CPUTime : % 0.27/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.27/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.50/15.79 --- Run --no-e-matching --full-saturate-quant at 6... % 15.84/16.12 % SZS status Unsatisfiable % 15.84/16.12 % SZS output start Proof % 15.84/16.12 ( % 15.84/16.12 (declare-sort $$unsorted 0) % 15.84/16.12 (declare-const tptp.x7 $$unsorted) % 15.84/16.12 (declare-const tptp.x6 $$unsorted) % 15.84/16.12 (declare-const tptp.x8 $$unsorted) % 15.84/16.12 (declare-const tptp.rd (-> $$unsorted $$unsorted $$unsorted)) % 15.84/16.12 (declare-const tptp.ld (-> $$unsorted $$unsorted $$unsorted)) % 15.84/16.12 (declare-const tptp.mult (-> $$unsorted $$unsorted $$unsorted)) % 15.84/16.12 (define @t1 () (@var "A" $$unsorted)) % 15.84/16.12 (define @t2 () (tptp.mult @t1 @t1)) % 15.84/16.12 (define @t3 () (tptp.ld @t1 @t2)) % 15.84/16.12 (define @t4 () (@list @t1)) % 15.84/16.12 (define @t5 () (forall @t4 (= @t3 @t1))) % 15.84/16.12 (define @t6 () (tptp.rd @t2 @t1)) % 15.84/16.12 (define @t7 () (forall @t4 (= @t6 @t1))) % 15.84/16.12 (define @t8 () (@var "B" $$unsorted)) % 15.84/16.12 (define @t9 () (tptp.mult @t1 @t8)) % 15.84/16.12 (define @t10 () (tptp.ld @t1 @t8)) % 15.84/16.12 (define @t11 () (@list @t1 @t8)) % 15.84/16.12 (define @t12 () (forall @t11 (= (tptp.mult @t1 @t10) (tptp.ld @t1 @t9)))) % 15.84/16.12 (define @t13 () (forall @t11 (= (tptp.mult (tptp.rd @t1 @t8) @t8) (tptp.rd @t9 @t8)))) % 15.84/16.12 (define @t14 () (@var "D" $$unsorted)) % 15.84/16.12 (define @t15 () (@var "C" $$unsorted)) % 15.84/16.12 (define @t16 () (@list @t1 @t8 @t15 @t14)) % 15.84/16.12 (define @t17 () (tptp.rd @t15 @t14)) % 15.84/16.12 (define @t18 () (forall @t16 (= (tptp.rd (tptp.mult @t9 @t17) @t17) (tptp.mult @t1 (tptp.rd (tptp.mult @t8 @t14) @t14))))) % 15.84/16.12 (define @t19 () (tptp.rd tptp.x7 tptp.x8)) % 15.84/16.12 (define @t20 () (tptp.rd (tptp.mult tptp.x6 @t19) @t19)) % 15.84/16.12 (define @t21 () (= @t20 (tptp.rd (tptp.mult tptp.x6 tptp.x8) tptp.x8))) % 15.84/16.12 (define @t22 () (not @t21)) % 15.84/16.12 (define @t23 () (tptp.rd tptp.x6 tptp.x6)) % 15.84/16.12 (define @t24 () (tptp.mult @t23 tptp.x6)) % 15.84/16.12 (define @t25 () (tptp.rd (tptp.mult tptp.x6 tptp.x6) tptp.x6)) % 15.84/16.12 (define @t26 () (= @t24 @t25)) % 15.84/16.12 (define @t27 () (@list tptp.x6 tptp.x6)) % 15.84/16.12 (define @t28 () (= @t25 @t24)) % 15.84/16.12 (define @t29 () (@list false)) % 15.84/16.12 (define @t30 () (@list @t13)) % 15.84/16.12 (define @t31 () (@list tptp.x8)) % 15.84/16.12 (define @t32 () (tptp.ld tptp.x8 tptp.x8)) % 15.84/16.12 (define @t33 () (tptp.mult tptp.x8 @t32)) % 15.84/16.12 (define @t34 () (tptp.mult tptp.x8 tptp.x8)) % 15.84/16.12 (define @t35 () (tptp.ld tptp.x8 @t34)) % 15.84/16.12 (define @t36 () (= @t33 @t35)) % 15.84/16.12 (define @t37 () (@list tptp.x8 tptp.x8)) % 15.84/16.12 (define @t38 () (= @t35 @t33)) % 15.84/16.12 (define @t39 () (tptp.rd tptp.x8 tptp.x8)) % 15.84/16.12 (define @t40 () (tptp.mult @t39 tptp.x8)) % 15.84/16.12 (define @t41 () (tptp.rd @t34 tptp.x8)) % 15.84/16.12 (define @t42 () (= @t40 @t41)) % 15.84/16.12 (define @t43 () (= @t41 @t40)) % 15.84/16.12 (define @t44 () (tptp.mult @t19 @t19)) % 15.84/16.12 (define @t45 () (tptp.rd @t44 @t19)) % 15.84/16.12 (define @t46 () (tptp.mult @t24 @t45)) % 15.84/16.12 (define @t47 () (tptp.rd @t46 @t45)) % 15.84/16.12 (define @t48 () (tptp.mult @t23 @t20)) % 15.84/16.12 (define @t49 () (= @t47 @t48)) % 15.84/16.12 (define @t50 () (= @t48 @t47)) % 15.84/16.12 (define @t51 () (@list @t18)) % 15.84/16.12 (define @t52 () (tptp.mult tptp.x8 @t19)) % 15.84/16.12 (define @t53 () (tptp.rd @t52 @t19)) % 15.84/16.12 (define @t54 () (tptp.mult @t24 @t53)) % 15.84/16.12 (define @t55 () (tptp.rd @t54 @t53)) % 15.84/16.12 (define @t56 () (= @t55 @t48)) % 15.84/16.12 (define @t57 () (= @t48 @t55)) % 15.84/16.12 (define @t58 () (not @t57)) % 15.84/16.12 (define @t59 () (not @t50)) % 15.84/16.12 (define @t60 () (tptp.mult @t32 tptp.x8)) % 15.84/16.12 (define @t61 () (tptp.rd @t60 tptp.x8)) % 15.84/16.12 (define @t62 () (tptp.mult tptp.x8 @t61)) % 15.84/16.12 (define @t63 () (= (tptp.rd (tptp.mult @t33 @t19) @t19) @t62)) % 15.84/16.12 (define @t64 () (not @t63)) % 15.84/16.12 (define @t65 () (tptp.ld tptp.x8 @t33)) % 15.84/16.12 (define @t66 () (= @t65 (tptp.rd @t40 tptp.x8))) % 15.84/16.12 (define @t67 () (not @t66)) % 15.84/16.12 (define @t68 () (not @t43)) % 15.84/16.12 (define @t69 () (not @t38)) % 15.84/16.12 (define @t70 () (= @t19 @t45)) % 15.84/16.12 (define @t71 () (not @t70)) % 15.84/16.12 (define @t72 () (= tptp.x8 @t41)) % 15.84/16.12 (define @t73 () (not @t72)) % 15.84/16.12 (define @t74 () (= tptp.x8 @t35)) % 15.84/16.12 (define @t75 () (not @t74)) % 15.84/16.12 (define @t76 () (not @t28)) % 15.84/16.12 (define @t77 () (= tptp.x6 @t25)) % 15.84/16.12 (define @t78 () (not @t77)) % 15.84/16.12 (define @t79 () (and @t22 @t77 @t28 @t74 @t72 @t70 @t38 @t43 @t66 @t63 @t50)) % 15.84/16.12 (assume @p1 @t5) % 15.84/16.12 (assume @p2 @t7) % 15.84/16.12 (assume @p3 @t12) % 15.84/16.12 (assume @p4 @t13) % 15.84/16.12 (assume @p5 (forall @t16 (= (tptp.ld @t10 (tptp.mult @t10 (tptp.mult @t15 @t14))) (tptp.mult (tptp.ld @t1 (tptp.mult @t1 @t15)) @t14)))) % 15.84/16.12 (assume @p6 @t18) % 15.84/16.12 (assume @p7 (forall @t11 (= (tptp.ld @t1 (tptp.mult @t1 (tptp.ld @t8 @t8))) (tptp.rd (tptp.mult (tptp.rd @t1 @t1) @t8) @t8)))) % 15.84/16.12 (assume @p8 @t22) % 15.84/16.12 (step @p9 :rule eq-symm :args (@t6 @t1)) % 15.84/16.12 (step @p10 :rule cong :premises (@p9) :args (@t7)) % 15.84/16.12 (step @p11 :rule eq_resolve :premises (@p2 @p10)) % 15.84/16.12 (step @p12 :rule instantiate :premises (@p11) :args ((@list tptp.x6))) % 15.84/16.12 (step @p13 :rule eq-symm :args (@t24 @t25)) % 15.84/16.12 (step @p14 :rule refl :args (@t13)) % 15.84/16.12 (step @p15 :rule cong :premises (@p14 @p13) :args ((=> @t13 @t26))) % 15.84/16.12 (assume-push @p143 @t13) % 15.84/16.12 (step @p17 :rule instantiate :premises (@p4) :args (@t27)) % 15.84/16.12 (step-pop @p144 :rule scope :premises (@p17)) % 15.84/16.12 (step @p18 :rule process_scope :premises (@p144) :args (@t26)) % 15.84/16.12 (step @p20 :rule eq_resolve :premises (@p18 @p15)) % 15.84/16.12 (step @p21 :rule implies_elim :premises (@p20)) % 15.84/16.12 (step @p22 :rule chain_m_resolution :premises (@p21 @p4) :args (@t28 @t29 @t30)) % 15.84/16.12 (step @p23 :rule eq-symm :args (@t3 @t1)) % 15.84/16.12 (step @p24 :rule cong :premises (@p23) :args (@t5)) % 15.84/16.12 (step @p25 :rule eq_resolve :premises (@p1 @p24)) % 15.84/16.12 (step @p26 :rule instantiate :premises (@p25) :args (@t31)) % 15.84/16.12 (step @p27 :rule instantiate :premises (@p11) :args (@t31)) % 15.84/16.12 (step @p28 :rule instantiate :premises (@p11) :args ((@list @t19))) % 15.84/16.12 (step @p29 :rule eq-symm :args (@t33 @t35)) % 15.84/16.12 (step @p30 :rule refl :args (@t12)) % 15.84/16.12 (step @p31 :rule cong :premises (@p30 @p29) :args ((=> @t12 @t36))) % 15.84/16.12 (assume-push @p145 @t12) % 15.84/16.12 (step @p33 :rule instantiate :premises (@p3) :args (@t37)) % 15.84/16.12 (step-pop @p146 :rule scope :premises (@p33)) % 15.84/16.12 (step @p34 :rule process_scope :premises (@p146) :args (@t36)) % 15.84/16.12 (step @p36 :rule eq_resolve :premises (@p34 @p31)) % 15.84/16.12 (step @p37 :rule implies_elim :premises (@p36)) % 15.84/16.12 (step @p38 :rule chain_m_resolution :premises (@p37 @p3) :args (@t38 @t29 (@list @t12))) % 15.84/16.12 (step @p39 :rule eq-symm :args (@t40 @t41)) % 15.84/16.12 (step @p40 :rule cong :premises (@p14 @p39) :args ((=> @t13 @t42))) % 15.84/16.12 (assume-push @p147 @t13) % 15.84/16.12 (step @p42 :rule instantiate :premises (@p4) :args (@t37)) % 15.84/16.12 (step-pop @p148 :rule scope :premises (@p42)) % 15.84/16.12 (step @p43 :rule process_scope :premises (@p148) :args (@t42)) % 15.84/16.12 (step @p45 :rule eq_resolve :premises (@p43 @p40)) % 15.84/16.12 (step @p46 :rule implies_elim :premises (@p45)) % 15.84/16.12 (step @p47 :rule chain_m_resolution :premises (@p46 @p4) :args (@t43 @t29 @t30)) % 15.84/16.12 (step @p48 :rule instantiate :premises (@p7) :args (@t37)) % 15.84/16.12 (step @p49 :rule instantiate :premises (@p6) :args ((@list tptp.x8 @t32 tptp.x7 tptp.x8))) % 15.84/16.12 (step @p50 :rule eq-symm :args (@t47 @t48)) % 15.84/16.12 (step @p51 :rule refl :args (@t18)) % 15.84/16.12 (step @p52 :rule cong :premises (@p51 @p50) :args ((=> @t18 @t49))) % 15.84/16.12 (assume-push @p149 @t18) % 15.84/16.12 (step @p54 :rule instantiate :premises (@p6) :args ((@list @t23 tptp.x6 @t44 @t19))) % 15.84/16.12 (step-pop @p150 :rule scope :premises (@p54)) % 15.84/16.12 (step @p55 :rule process_scope :premises (@p150) :args (@t49)) % 15.84/16.12 (step @p57 :rule eq_resolve :premises (@p55 @p52)) % 15.84/16.12 (step @p58 :rule implies_elim :premises (@p57)) % 15.84/16.12 (step @p59 :rule chain_m_resolution :premises (@p58 @p6) :args (@t50 @t29 @t51)) % 15.84/16.12 (step @p60 :rule eq-symm :args (@t55 @t48)) % 15.84/16.12 (step @p61 :rule cong :premises (@p51 @p60) :args ((=> @t18 @t56))) % 15.84/16.12 (assume-push @p151 @t18) % 15.84/16.12 (step @p63 :rule instantiate :premises (@p6) :args ((@list @t23 tptp.x6 @t52 @t19))) % 15.84/16.12 (step-pop @p152 :rule scope :premises (@p63)) % 15.84/16.12 (step @p64 :rule process_scope :premises (@p152) :args (@t56)) % 15.84/16.12 (step @p66 :rule eq_resolve :premises (@p64 @p61)) % 15.84/16.12 (step @p67 :rule implies_elim :premises (@p66)) % 15.84/16.12 (step @p68 :rule chain_m_resolution :premises (@p67 @p6) :args (@t57 @t29 @t51)) % 15.84/16.12 (step @p69 :rule refl :args (@t58)) % 15.84/16.12 (step @p70 :rule refl :args (@t59)) % 15.84/16.12 (step @p71 :rule refl :args (@t64)) % 15.84/16.12 (step @p72 :rule refl :args (@t67)) % 15.84/16.12 (step @p73 :rule refl :args (@t68)) % 15.84/16.12 (step @p74 :rule refl :args (@t69)) % 15.84/16.12 (step @p75 :rule refl :args (@t71)) % 15.84/16.12 (step @p76 :rule refl :args (@t73)) % 15.84/16.12 (step @p77 :rule refl :args (@t75)) % 15.84/16.12 (step @p78 :rule refl :args (@t76)) % 15.84/16.12 (step @p79 :rule refl :args (@t78)) % 15.84/16.12 (step @p80 :rule bool-double-not-elim :args (@t21)) % 15.84/16.12 (step @p81 :rule nary_cong :premises (@p80 @p79 @p78 @p77 @p76 @p75 @p74 @p73 @p72 @p71 @p70 @p69) :args ((or (not @t22) @t78 @t76 @t75 @t73 @t71 @t69 @t68 @t67 @t64 @t59 @t58))) % 15.84/16.12 (assume-push @p153 @t22) % 15.84/16.12 (assume-push @p154 @t77) % 15.84/16.12 (assume-push @p155 @t28) % 15.84/16.12 (assume-push @p156 @t74) % 15.84/16.12 (assume-push @p157 @t72) % 15.84/16.12 (assume-push @p158 @t70) % 15.84/16.12 (assume-push @p159 @t38) % 15.84/16.12 (assume-push @p160 @t43) % 15.84/16.12 (assume-push @p161 @t66) % 15.84/16.12 (assume-push @p162 @t63) % 15.84/16.12 (assume-push @p163 @t50) % 15.84/16.12 (step @p93 :rule false_intro :premises (@p8)) % 15.84/16.12 (step @p94 :rule symm :premises (@p26)) % 15.84/16.12 (step @p33 :rule instantiate :premises (@p3) :args (@t37)) % 15.84/16.12 (step @p95 :rule trans :premises (@p33 @p94)) % 15.84/16.12 (step @p96 :rule refl :args (tptp.x8)) % 15.84/16.12 (step @p97 :rule cong :premises (@p96 @p95) :args (@t65)) % 15.84/16.12 (step @p98 :rule symm :premises (@p48)) % 15.84/16.12 (step @p99 :rule trans :premises (@p27 @p47)) % 15.84/16.12 (step @p100 :rule cong :premises (@p99 @p96) :args (@t39)) % 15.84/16.12 (step @p101 :rule symm :premises (@p27)) % 15.84/16.12 (step @p42 :rule instantiate :premises (@p4) :args (@t37)) % 15.84/16.12 (step @p102 :rule symm :premises (@p100)) % 15.84/16.12 (step @p103 :rule symm :premises (@p97)) % 15.84/16.12 (step @p104 :rule trans :premises (@p103 @p48 @p102)) % 15.84/16.12 (step @p105 :rule cong :premises (@p104 @p96) :args (@t60)) % 15.84/16.12 (step @p106 :rule trans :premises (@p105 @p42 @p101)) % 15.84/16.12 (step @p107 :rule cong :premises (@p106 @p96) :args (@t61)) % 15.84/16.12 (step @p108 :rule trans :premises (@p107 @p100 @p98 @p97)) % 15.84/16.12 (step @p109 :rule cong :premises (@p96 @p108) :args (@t62)) % 15.84/16.12 (step @p110 :rule refl :args (@t19)) % 15.84/16.12 (step @p111 :rule symm :premises (@p95)) % 15.84/16.12 (step @p112 :rule cong :premises (@p111 @p110) :args (@t52)) % 15.84/16.12 (step @p113 :rule cong :premises (@p112 @p110) :args (@t53)) % 15.84/16.12 (step @p114 :rule trans :premises (@p113 @p49 @p109 @p33 @p94)) % 15.84/16.12 (step @p115 :rule symm :premises (@p12)) % 15.84/16.12 (step @p17 :rule instantiate :premises (@p4) :args (@t27)) % 15.84/16.12 (step @p116 :rule trans :premises (@p17 @p115)) % 15.84/16.12 (step @p117 :rule cong :premises (@p116 @p114) :args (@t54)) % 15.84/16.12 (step @p118 :rule cong :premises (@p117 @p114) :args (@t55)) % 15.84/16.12 (step @p119 :rule symm :premises (@p28)) % 15.84/16.12 (step @p120 :rule cong :premises (@p116 @p119) :args (@t46)) % 15.84/16.12 (step @p121 :rule cong :premises (@p120 @p119) :args (@t47)) % 15.84/16.12 (step @p122 :rule trans :premises (@p59 @p121)) % 15.84/16.12 (step @p123 :rule cong :premises (@p122 @p118) :args (@t57)) % 15.84/16.12 (step @p124 :rule trans :premises (@p123 @p93)) % 15.84/16.12 (step @p125 :rule false_elim :premises (@p124)) % 15.84/16.12 (step-pop @p164 :rule scope :premises (@p125)) % 15.84/16.12 (step-pop @p165 :rule scope :premises (@p164)) % 15.84/16.12 (step-pop @p166 :rule scope :premises (@p165)) % 15.84/16.12 (step-pop @p167 :rule scope :premises (@p166)) % 15.84/16.12 (step-pop @p168 :rule scope :premises (@p167)) % 15.84/16.12 (step-pop @p169 :rule scope :premises (@p168)) % 15.84/16.12 (step-pop @p170 :rule scope :premises (@p169)) % 15.84/16.12 (step-pop @p171 :rule scope :premises (@p170)) % 15.84/16.12 (step-pop @p172 :rule scope :premises (@p171)) % 15.84/16.12 (step-pop @p173 :rule scope :premises (@p172)) % 15.84/16.12 (step-pop @p174 :rule scope :premises (@p173)) % 15.84/16.12 (step @p126 :rule process_scope :premises (@p174) :args (@t58)) % 15.84/16.12 (step @p138 :rule implies_elim :premises (@p126)) % 15.84/16.12 (step @p139 :rule cnf_and_neg :args (@t79)) % 15.84/16.12 (step @p140 :rule resolution :premises (@p139 @p138) :args (true @t79)) % 15.84/16.12 (step @p141 :rule eq_resolve :premises (@p140 @p81)) % 15.84/16.12 (step @p142 false :rule chain_m_resolution :premises (@p141 @p68 @p59 @p49 @p48 @p47 @p38 @p28 @p27 @p26 @p22 @p12 @p8) :args (false (@list false false false false false false false false false false false true) (@list @t57 @t50 @t63 @t66 @t43 @t38 @t70 @t72 @t74 @t28 @t77 @t21))) % 15.84/16.12 ) % 15.84/16.12 % SZS output end Proof % 15.95/16.13 % cvc5 exiting %------------------------------------------------------------------------------