%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP700+1 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n024.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 08:21:19 AM UTC 2026 % Result : Theorem 15.80s 16.05s % Output : Proof 15.80s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : GRP700+1 : TPTP v9.2.1. Released v4.0.0. % 0.00/0.07 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.08/0.25 % Computer : n024.cluster.edu % 0.08/0.25 % Model : x86_64 x86_64 % 0.08/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.08/0.25 % Memory : 8042.1875MB % 0.08/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.08/0.25 % CPULimit : 300 % 0.08/0.25 % WCLimit : 300 % 0.08/0.25 % DateTime : Mon Jun 1 20:53:00 EDT 2026 % 0.08/0.25 % CPUTime : % 0.14/0.33 %----Proving TF0_NAR, FOF, or CNF % 15.80/16.05 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.80/16.05 --- Run --no-e-matching --full-saturate-quant at 6... % 15.80/16.05 % SZS status Theorem % 15.80/16.05 % SZS output start Proof % 15.80/16.05 ( % 15.80/16.05 (declare-sort $$unsorted 0) % 15.80/16.05 (declare-const tptp.unit $$unsorted) % 15.80/16.05 (declare-const tptp.rd (-> $$unsorted $$unsorted $$unsorted)) % 15.80/16.05 (declare-const tptp.mult (-> $$unsorted $$unsorted $$unsorted)) % 15.80/16.05 (declare-const tptp.ld (-> $$unsorted $$unsorted $$unsorted)) % 15.80/16.05 (define @t1 () (@var "B" $$unsorted)) % 15.80/16.05 (define @t2 () (@var "A" $$unsorted)) % 15.80/16.05 (define @t3 () (tptp.mult @t2 (tptp.ld @t2 @t1))) % 15.80/16.05 (define @t4 () (@list @t1 @t2)) % 15.80/16.05 (define @t5 () (forall @t4 (= @t3 @t1))) % 15.80/16.05 (define @t6 () (tptp.mult @t2 @t1)) % 15.80/16.05 (define @t7 () (tptp.rd @t6 @t1)) % 15.80/16.05 (define @t8 () (forall @t4 (= @t7 @t2))) % 15.80/16.05 (define @t9 () (tptp.mult @t2 tptp.unit)) % 15.80/16.05 (define @t10 () (@list @t2)) % 15.80/16.05 (define @t11 () (forall @t10 (= @t9 @t2))) % 15.80/16.05 (define @t12 () (tptp.mult tptp.unit @t2)) % 15.80/16.05 (define @t13 () (forall @t10 (= @t12 @t2))) % 15.80/16.05 (define @t14 () (@var "C" $$unsorted)) % 15.80/16.05 (define @t15 () (@list @t14 @t1 @t2)) % 15.80/16.05 (define @t16 () (@var "X1" $$unsorted)) % 15.80/16.05 (define @t17 () (@var "X0" $$unsorted)) % 15.80/16.05 (define @t18 () (tptp.mult @t17 @t16)) % 15.80/16.05 (define @t19 () (tptp.mult @t16 @t17)) % 15.80/16.05 (define @t20 () (and (= @t19 tptp.unit) (= @t18 tptp.unit))) % 15.80/16.05 (define @t21 () (@list @t16)) % 15.80/16.05 (define @t22 () (exists @t21 @t20)) % 15.80/16.05 (define @t23 () (@list @t17)) % 15.80/16.05 (define @t24 () (forall @t23 @t22)) % 15.80/16.05 (define @t25 () (not @t24)) % 15.80/16.05 (define @t26 () (= tptp.unit @t18)) % 15.80/16.05 (define @t27 () (= tptp.unit @t19)) % 15.80/16.05 (define @t28 () (forall @t23 (not (forall @t21 (or (not @t27) (not @t26)))))) % 15.80/16.05 (define @t29 () (@quantifiers_skolemize @t28 0)) % 15.80/16.05 (define @t30 () (tptp.mult tptp.unit tptp.unit)) % 15.80/16.05 (define @t31 () (tptp.ld @t29 @t30)) % 15.80/16.05 (define @t32 () (@list @t31)) % 15.80/16.05 (define @t33 () (and @t27 @t26)) % 15.80/16.05 (define @t34 () (forall @t21 (not @t33))) % 15.80/16.05 (define @t35 () (not @t34)) % 15.80/16.05 (define @t36 () (forall @t21 (or (not (= tptp.unit (tptp.mult @t16 @t29))) (not (= tptp.unit (tptp.mult @t29 @t16)))))) % 15.80/16.05 (define @t37 () (not @t28)) % 15.80/16.05 (define @t38 () (not (not @t36))) % 15.80/16.05 (define @t39 () (tptp.mult @t29 @t31)) % 15.80/16.05 (define @t40 () (= tptp.unit @t39)) % 15.80/16.05 (define @t41 () (not @t40)) % 15.80/16.05 (define @t42 () (tptp.mult @t31 @t29)) % 15.80/16.05 (define @t43 () (= tptp.unit @t42)) % 15.80/16.05 (define @t44 () (not @t43)) % 15.80/16.05 (define @t45 () (or @t44 @t41)) % 15.80/16.05 (define @t46 () (tptp.mult @t42 @t31)) % 15.80/16.05 (define @t47 () (tptp.rd @t46 @t31)) % 15.80/16.05 (define @t48 () (= @t42 @t47)) % 15.80/16.05 (define @t49 () (not @t48)) % 15.80/16.05 (define @t50 () (tptp.mult @t46 @t31)) % 15.80/16.05 (define @t51 () (tptp.rd @t50 @t31)) % 15.80/16.05 (define @t52 () (= @t46 @t51)) % 15.80/16.05 (define @t53 () (not @t52)) % 15.80/16.05 (define @t54 () (tptp.mult @t39 @t31)) % 15.80/16.05 (define @t55 () (tptp.mult @t54 tptp.unit)) % 15.80/16.05 (define @t56 () (tptp.mult @t31 @t55)) % 15.80/16.05 (define @t57 () (tptp.mult @t31 tptp.unit)) % 15.80/16.05 (define @t58 () (= (tptp.mult @t46 @t57) @t56)) % 15.80/16.05 (define @t59 () (not @t58)) % 15.80/16.05 (define @t60 () (= @t31 (tptp.rd (tptp.mult @t31 @t31) @t31))) % 15.80/16.05 (define @t61 () (not @t60)) % 15.80/16.05 (define @t62 () (tptp.mult tptp.unit @t31)) % 15.80/16.05 (define @t63 () (= tptp.unit (tptp.rd @t62 @t31))) % 15.80/16.05 (define @t64 () (not @t63)) % 15.80/16.05 (define @t65 () (= @t31 @t62)) % 15.80/16.05 (define @t66 () (not @t65)) % 15.80/16.05 (define @t67 () (= @t31 @t57)) % 15.80/16.05 (define @t68 () (not @t67)) % 15.80/16.05 (define @t69 () (= @t30 @t39)) % 15.80/16.05 (define @t70 () (not @t69)) % 15.80/16.05 (define @t71 () (= tptp.unit @t30)) % 15.80/16.05 (define @t72 () (not @t71)) % 15.80/16.05 (define @t73 () (= @t47 @t42)) % 15.80/16.05 (define @t74 () (not @t73)) % 15.80/16.05 (define @t75 () (and @t48 @t49)) % 15.80/16.05 (assume @p1 @t5) % 15.80/16.05 (assume @p2 (forall @t4 (= (tptp.ld @t2 @t6) @t1))) % 15.80/16.05 (assume @p3 (forall @t4 (= (tptp.mult (tptp.rd @t2 @t1) @t1) @t2))) % 15.80/16.05 (assume @p4 @t8) % 15.80/16.05 (assume @p5 @t11) % 15.80/16.05 (assume @p6 @t13) % 15.80/16.05 (assume @p7 (forall @t15 (= (tptp.mult (tptp.mult @t6 @t2) (tptp.mult @t2 @t14)) (tptp.mult @t2 (tptp.mult (tptp.mult (tptp.mult @t1 @t2) @t2) @t14))))) % 15.80/16.05 (assume @p8 (forall @t15 (= (tptp.mult @t6 (tptp.mult @t1 (tptp.mult @t14 @t1))) (tptp.mult (tptp.mult @t2 (tptp.mult @t1 (tptp.mult @t1 @t14))) @t1)))) % 15.80/16.05 (assume @p9 @t25) % 15.80/16.05 (assume @p10 true) % 15.80/16.05 (step @p11 :rule eq-symm :args (@t9 @t2)) % 15.80/16.05 (step @p12 :rule cong :premises (@p11) :args (@t11)) % 15.80/16.05 (step @p13 :rule eq_resolve :premises (@p5 @p12)) % 15.80/16.05 (step @p14 :rule instantiate :premises (@p13) :args ((@list tptp.unit))) % 15.80/16.05 (step @p15 :rule eq-symm :args (@t3 @t1)) % 15.80/16.05 (step @p16 :rule cong :premises (@p15) :args (@t5)) % 15.80/16.05 (step @p17 :rule eq_resolve :premises (@p1 @p16)) % 15.80/16.05 (step @p18 :rule instantiate :premises (@p17) :args ((@list @t30 @t29))) % 15.80/16.05 (step @p19 :rule instantiate :premises (@p13) :args (@t32)) % 15.80/16.05 (step @p20 :rule eq-symm :args (@t12 @t2)) % 15.80/16.05 (step @p21 :rule cong :premises (@p20) :args (@t13)) % 15.80/16.05 (step @p22 :rule eq_resolve :premises (@p6 @p21)) % 15.80/16.05 (step @p23 :rule instantiate :premises (@p22) :args (@t32)) % 15.80/16.05 (step @p24 :rule bool-and-de-morgan :args (@t27 @t26 true)) % 15.80/16.05 (step @p25 :rule cong :premises (@p24) :args (@t34)) % 15.80/16.05 (step @p26 :rule cong :premises (@p25) :args (@t35)) % 15.80/16.05 (step @p27 :rule exists-elim :args ((= (exists @t21 @t33) @t35))) % 15.80/16.05 (step @p28 :rule trans :premises (@p27 @p26)) % 15.80/16.05 (step @p29 :rule eq-symm :args (@t18 tptp.unit)) % 15.80/16.05 (step @p30 :rule eq-symm :args (@t19 tptp.unit)) % 15.80/16.05 (step @p31 :rule nary_cong :premises (@p30 @p29) :args (@t20)) % 15.80/16.05 (step @p32 :rule cong :premises (@p31) :args (@t22)) % 15.80/16.05 (step @p33 :rule trans :premises (@p32 @p28)) % 15.80/16.05 (step @p34 :rule cong :premises (@p33) :args (@t24)) % 15.80/16.05 (step @p35 :rule cong :premises (@p34) :args (@t25)) % 15.80/16.05 (step @p36 :rule eq_resolve :premises (@p9 @p35)) % 15.80/16.05 (step @p37 :rule refl :args (@t36)) % 15.80/16.05 (step @p38 :rule bool-double-not-elim :args (@t28)) % 15.80/16.05 (step @p39 :rule nary_cong :premises (@p38 @p37) :args ((or (not @t37) @t36))) % 15.80/16.05 (step @p40 :rule bool-double-not-elim :args (@t36)) % 15.80/16.05 (step @p41 :rule refl :args (@t37)) % 15.80/16.05 (step @p42 :rule cong :premises (@p41 @p40) :args ((=> @t37 @t38))) % 15.80/16.05 (assume-push @p149 @t37) % 15.80/16.05 (step @p44 :rule skolemize :premises (@p36)) % 15.80/16.05 (step-pop @p150 :rule scope :premises (@p44)) % 15.80/16.05 (step @p45 :rule process_scope :premises (@p150) :args (@t38)) % 15.80/16.05 (step @p47 :rule eq_resolve :premises (@p45 @p42)) % 15.80/16.05 (step @p48 :rule implies_elim :premises (@p47)) % 15.80/16.05 (step @p49 :rule eq_resolve :premises (@p48 @p39)) % 15.80/16.05 (step @p50 :rule chain_m_resolution :premises (@p49 @p36) :args (@t36 (@list true) (@list @t28))) % 15.80/16.05 (step @p51 :rule instantiate :premises (@p50) :args (@t32)) % 15.80/16.05 (step @p52 :rule trans :premises (@p14 @p18)) % 15.80/16.05 (step @p53 :rule cnf_or_pos :args (@t45)) % 15.80/16.05 (step @p54 :rule reordering :premises (@p53) :args ((or @t44 @t41 (not @t45)))) % 15.80/16.05 (step @p55 :rule chain_m_resolution :premises (@p54 @p52 @p51) :args (@t44 (@list false false) (@list @t40 @t45))) % 15.80/16.05 (step @p56 :rule eq-symm :args (@t7 @t2)) % 15.80/16.05 (step @p57 :rule cong :premises (@p56) :args (@t8)) % 15.80/16.05 (step @p58 :rule eq_resolve :premises (@p4 @p57)) % 15.80/16.05 (step @p59 :rule instantiate :premises (@p58) :args ((@list @t31 tptp.unit))) % 15.80/16.05 (step @p60 :rule instantiate :premises (@p58) :args ((@list @t31 @t31))) % 15.80/16.05 (step @p61 :rule instantiate :premises (@p7) :args ((@list tptp.unit @t29 @t31))) % 15.80/16.05 (step @p62 :rule instantiate :premises (@p58) :args ((@list @t31 @t46))) % 15.80/16.05 (step @p63 :rule instantiate :premises (@p58) :args ((@list @t31 @t42))) % 15.80/16.05 (step @p64 :rule refl :args (@t49)) % 15.80/16.05 (step @p65 :rule refl :args (@t53)) % 15.80/16.05 (step @p66 :rule refl :args (@t59)) % 15.80/16.05 (step @p67 :rule refl :args (@t61)) % 15.80/16.05 (step @p68 :rule refl :args (@t64)) % 15.80/16.05 (step @p69 :rule bool-double-not-elim :args (@t43)) % 15.80/16.05 (step @p70 :rule refl :args (@t66)) % 15.80/16.05 (step @p71 :rule refl :args (@t68)) % 15.80/16.05 (step @p72 :rule refl :args (@t70)) % 15.80/16.05 (step @p73 :rule refl :args (@t72)) % 15.80/16.05 (step @p74 :rule nary_cong :premises (@p73 @p72 @p71 @p70 @p69 @p68 @p67 @p66 @p65 @p64) :args ((or @t72 @t70 @t68 @t66 (not @t44) @t64 @t61 @t59 @t53 @t49))) % 15.80/16.05 (assume-push @p151 @t48) % 15.80/16.05 (assume-push @p152 @t49) % 15.80/16.05 (step @p77 :rule evaluate :args ((= false true))) % 15.80/16.05 (step @p78 :rule true_intro :premises (@p63)) % 15.80/16.05 (step @p79 :rule bool-eq-false :args (@t48)) % 15.80/16.05 (step @p80 :rule symm :premises (@p79)) % 15.80/16.05 (step @p81 :rule eq-symm :args (@t47 @t42)) % 15.80/16.05 (step @p82 :rule cong :premises (@p81) :args (@t74)) % 15.80/16.05 (step @p83 :rule bool-eq-false :args (@t73)) % 15.80/16.05 (step @p84 :rule trans :premises (@p83 @p82)) % 15.80/16.05 (step @p85 :rule trans :premises (@p84 @p80)) % 15.80/16.05 (step @p86 :rule false_intro :premises (@p55)) % 15.80/16.05 (step @p87 :rule refl :args (@t42)) % 15.80/16.05 (step @p88 :rule symm :premises (@p59)) % 15.80/16.05 (step @p89 :rule refl :args (@t31)) % 15.80/16.05 (step @p90 :rule symm :premises (@p19)) % 15.80/16.05 (step @p91 :rule trans :premises (@p90 @p23)) % 15.80/16.05 (step @p92 :rule symm :premises (@p60)) % 15.80/16.05 (step @p93 :rule refl :args (tptp.unit)) % 15.80/16.05 (step @p94 :rule symm :premises (@p23)) % 15.80/16.05 (step @p95 :rule symm :premises (@p14)) % 15.80/16.05 (step @p96 :rule symm :premises (@p18)) % 15.80/16.05 (step @p97 :rule trans :premises (@p96 @p95)) % 15.80/16.05 (step @p98 :rule cong :premises (@p97 @p89) :args (@t54)) % 15.80/16.05 (step @p99 :rule trans :premises (@p98 @p94)) % 15.80/16.05 (step @p100 :rule cong :premises (@p99 @p93) :args (@t55)) % 15.80/16.05 (step @p101 :rule trans :premises (@p100 @p90)) % 15.80/16.05 (step @p102 :rule cong :premises (@p89 @p101) :args (@t56)) % 15.80/16.05 (step @p103 :rule refl :args (@t46)) % 15.80/16.05 (step @p104 :rule cong :premises (@p103 @p19) :args (@t50)) % 15.80/16.05 (step @p105 :rule trans :premises (@p104 @p61 @p102)) % 15.80/16.05 (step @p106 :rule cong :premises (@p105 @p89) :args (@t51)) % 15.80/16.05 (step @p107 :rule trans :premises (@p62 @p106 @p92 @p19)) % 15.80/16.05 (step @p108 :rule trans :premises (@p107 @p91)) % 15.80/16.05 (step @p109 :rule cong :premises (@p108 @p89) :args (@t47)) % 15.80/16.05 (step @p110 :rule trans :premises (@p109 @p88)) % 15.80/16.05 (step @p111 :rule cong :premises (@p110 @p87) :args (@t73)) % 15.80/16.05 (step @p112 :rule trans :premises (@p111 @p86)) % 15.80/16.05 (step @p113 :rule eq_resolve :premises (@p112 @p85)) % 15.80/16.05 (step @p114 :rule symm :premises (@p113)) % 15.80/16.05 (step @p115 :rule trans :premises (@p114 @p78)) % 15.80/16.05 (step @p116 false :rule eq_resolve :premises (@p115 @p77)) % 15.80/16.05 (step-pop @p153 :rule scope :premises (@p116)) % 15.80/16.05 (step-pop @p154 :rule scope :premises (@p153)) % 15.80/16.05 (step @p117 :rule process_scope :premises (@p154) :args (false)) % 15.80/16.05 (assume-push @p155 @t71) % 15.80/16.05 (assume-push @p156 @t69) % 15.80/16.05 (assume-push @p157 @t67) % 15.80/16.05 (assume-push @p158 @t65) % 15.80/16.05 (assume-push @p159 @t44) % 15.80/16.05 (assume-push @p160 @t63) % 15.80/16.05 (assume-push @p161 @t60) % 15.80/16.05 (assume-push @p162 @t58) % 15.80/16.05 (assume-push @p163 @t52) % 15.80/16.05 (assume-push @p164 @t48) % 15.80/16.05 (step @p79 :rule bool-eq-false :args (@t48)) % 15.80/16.05 (step @p80 :rule symm :premises (@p79)) % 15.80/16.05 (step @p81 :rule eq-symm :args (@t47 @t42)) % 15.80/16.05 (step @p82 :rule cong :premises (@p81) :args (@t74)) % 15.80/16.05 (step @p83 :rule bool-eq-false :args (@t73)) % 15.80/16.05 (step @p84 :rule trans :premises (@p83 @p82)) % 15.80/16.05 (step @p85 :rule trans :premises (@p84 @p80)) % 15.80/16.05 (step @p86 :rule false_intro :premises (@p55)) % 15.80/16.05 (step @p87 :rule refl :args (@t42)) % 15.80/16.05 (step @p88 :rule symm :premises (@p59)) % 15.80/16.05 (step @p89 :rule refl :args (@t31)) % 15.80/16.05 (step @p90 :rule symm :premises (@p19)) % 15.80/16.05 (step @p91 :rule trans :premises (@p90 @p23)) % 15.80/16.05 (step @p92 :rule symm :premises (@p60)) % 15.80/16.05 (step @p93 :rule refl :args (tptp.unit)) % 15.80/16.05 (step @p94 :rule symm :premises (@p23)) % 15.80/16.05 (step @p95 :rule symm :premises (@p14)) % 15.80/16.05 (step @p96 :rule symm :premises (@p18)) % 15.80/16.05 (step @p97 :rule trans :premises (@p96 @p95)) % 15.80/16.05 (step @p98 :rule cong :premises (@p97 @p89) :args (@t54)) % 15.80/16.05 (step @p99 :rule trans :premises (@p98 @p94)) % 15.80/16.05 (step @p100 :rule cong :premises (@p99 @p93) :args (@t55)) % 15.80/16.05 (step @p101 :rule trans :premises (@p100 @p90)) % 15.80/16.05 (step @p102 :rule cong :premises (@p89 @p101) :args (@t56)) % 15.80/16.05 (step @p103 :rule refl :args (@t46)) % 15.80/16.05 (step @p104 :rule cong :premises (@p103 @p19) :args (@t50)) % 15.80/16.05 (step @p105 :rule trans :premises (@p104 @p61 @p102)) % 15.80/16.05 (step @p106 :rule cong :premises (@p105 @p89) :args (@t51)) % 15.80/16.05 (step @p107 :rule trans :premises (@p62 @p106 @p92 @p19)) % 15.80/16.05 (step @p108 :rule trans :premises (@p107 @p91)) % 15.80/16.05 (step @p109 :rule cong :premises (@p108 @p89) :args (@t47)) % 15.80/16.05 (step @p110 :rule trans :premises (@p109 @p88)) % 15.80/16.05 (step @p111 :rule cong :premises (@p110 @p87) :args (@t73)) % 15.80/16.05 (step @p112 :rule trans :premises (@p111 @p86)) % 15.80/16.05 (step @p130 :rule eq_resolve :premises (@p112 @p85)) % 15.80/16.05 (step @p131 :rule false_elim :premises (@p130)) % 15.80/16.05 (step @p132 :rule and_intro :premises (@p63 @p131)) % 15.80/16.05 (step-pop @p165 :rule scope :premises (@p132)) % 15.80/16.05 (step-pop @p166 :rule scope :premises (@p165)) % 15.80/16.05 (step-pop @p167 :rule scope :premises (@p166)) % 15.80/16.05 (step-pop @p168 :rule scope :premises (@p167)) % 15.80/16.05 (step-pop @p169 :rule scope :premises (@p168)) % 15.80/16.05 (step-pop @p170 :rule scope :premises (@p169)) % 15.80/16.05 (step-pop @p171 :rule scope :premises (@p170)) % 15.80/16.05 (step-pop @p172 :rule scope :premises (@p171)) % 15.80/16.05 (step-pop @p173 :rule scope :premises (@p172)) % 15.80/16.05 (step-pop @p174 :rule scope :premises (@p173)) % 15.80/16.05 (step @p133 :rule process_scope :premises (@p174) :args (@t75)) % 15.80/16.05 (step @p144 :rule implies_elim :premises (@p133)) % 15.80/16.05 (step @p145 :rule resolution :premises (@p144 @p117) :args (true @t75)) % 15.80/16.05 (step @p146 :rule not_and :premises (@p145)) % 15.80/16.05 (step @p147 :rule eq_resolve :premises (@p146 @p74)) % 15.80/16.05 (step @p148 false :rule chain_m_resolution :premises (@p147 @p63 @p62 @p61 @p60 @p59 @p55 @p23 @p19 @p18 @p14) :args (false (@list false false false false false true false false false false) (@list @t48 @t52 @t58 @t60 @t63 @t43 @t65 @t67 @t69 @t71))) % 15.80/16.05 ) % 15.80/16.05 % SZS output end Proof % 15.80/16.05 % cvc5 exiting %------------------------------------------------------------------------------