%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP703+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 : n028.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 08:21:20 AM UTC 2026 % Result : Theorem 0.36s 0.60s % Output : Proof 0.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GRP703+1 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n028.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 : Tue Jun 2 01:54:05 EDT 2026 % 0.15/0.34 % CPUTime : % 0.30/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.36/0.60 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.36/0.60 % SZS status Theorem % 0.36/0.60 % SZS output start Proof % 0.36/0.60 ( % 0.36/0.60 (declare-sort $$unsorted 0) % 0.36/0.60 (declare-const tptp.op_e $$unsorted) % 0.36/0.60 (declare-const tptp.op_d $$unsorted) % 0.36/0.60 (declare-const tptp.op_c $$unsorted) % 0.36/0.60 (declare-const tptp.unit $$unsorted) % 0.36/0.60 (declare-const tptp.op_f $$unsorted) % 0.36/0.60 (declare-const tptp.rd (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.60 (declare-const tptp.mult (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.60 (declare-const tptp.ld (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.60 (define @t1 () (@var "B" $$unsorted)) % 0.36/0.60 (define @t2 () (@var "A" $$unsorted)) % 0.36/0.60 (define @t3 () (@list @t1 @t2)) % 0.36/0.60 (define @t4 () (tptp.mult @t2 @t1)) % 0.36/0.60 (define @t5 () (tptp.mult (tptp.rd @t2 @t1) @t1)) % 0.36/0.60 (define @t6 () (forall @t3 (= @t5 @t2))) % 0.36/0.60 (define @t7 () (tptp.rd @t4 @t1)) % 0.36/0.60 (define @t8 () (forall @t3 (= @t7 @t2))) % 0.36/0.60 (define @t9 () (tptp.mult @t2 tptp.unit)) % 0.36/0.60 (define @t10 () (@list @t2)) % 0.36/0.60 (define @t11 () (forall @t10 (= @t9 @t2))) % 0.36/0.60 (define @t12 () (@var "C" $$unsorted)) % 0.36/0.60 (define @t13 () (tptp.mult tptp.op_c @t2)) % 0.36/0.60 (define @t14 () (@var "X3" $$unsorted)) % 0.36/0.60 (define @t15 () (@var "X2" $$unsorted)) % 0.36/0.60 (define @t16 () (= (tptp.mult @t15 (tptp.mult tptp.op_e @t14)) (tptp.mult (tptp.mult @t15 tptp.op_e) @t14))) % 0.36/0.60 (define @t17 () (tptp.mult @t15 @t14)) % 0.36/0.60 (define @t18 () (= (tptp.mult @t15 (tptp.mult @t14 tptp.op_e)) (tptp.mult @t17 tptp.op_e))) % 0.36/0.60 (define @t19 () (= (tptp.mult tptp.op_e @t17) (tptp.mult (tptp.mult tptp.op_e @t15) @t14))) % 0.36/0.60 (define @t20 () (@list @t15 @t14)) % 0.36/0.60 (define @t21 () (forall @t20 (and @t19 @t18 @t16))) % 0.36/0.60 (define @t22 () (not @t21)) % 0.36/0.60 (define @t23 () (@var "BOUND_VARIABLE_7541" $$unsorted)) % 0.36/0.60 (define @t24 () (@var "BOUND_VARIABLE_7539" $$unsorted)) % 0.36/0.60 (define @t25 () (forall (@list @t24 @t23) (= (tptp.mult @t24 (tptp.mult tptp.op_e @t23)) (tptp.mult (tptp.mult @t24 tptp.op_e) @t23)))) % 0.36/0.60 (define @t26 () (@quantifiers_skolemize @t25 1)) % 0.36/0.60 (define @t27 () (@list tptp.unit tptp.unit)) % 0.36/0.60 (define @t28 () (tptp.rd tptp.op_c tptp.unit)) % 0.36/0.60 (define @t29 () (tptp.mult tptp.op_c tptp.unit)) % 0.36/0.60 (define @t30 () (tptp.mult (tptp.rd tptp.op_c (tptp.mult tptp.unit tptp.unit)) tptp.unit)) % 0.36/0.60 (define @t31 () (@quantifiers_skolemize @t25 0)) % 0.36/0.60 (define @t32 () (tptp.mult @t31 tptp.op_c)) % 0.36/0.60 (define @t33 () (tptp.mult tptp.op_e @t26)) % 0.36/0.60 (define @t34 () (tptp.mult @t31 @t33)) % 0.36/0.60 (define @t35 () (= @t34 (tptp.mult (tptp.mult @t31 tptp.op_e) @t26))) % 0.36/0.60 (define @t36 () (not @t35)) % 0.36/0.60 (define @t37 () (not @t25)) % 0.36/0.60 (define @t38 () (@list false)) % 0.36/0.60 (define @t39 () (@var "BOUND_VARIABLE_7519" $$unsorted)) % 0.36/0.60 (define @t40 () (@var "BOUND_VARIABLE_7517" $$unsorted)) % 0.36/0.60 (define @t41 () (forall (@list @t40 @t39) (= (tptp.mult tptp.op_e (tptp.mult @t40 @t39)) (tptp.mult (tptp.mult tptp.op_e @t40) @t39)))) % 0.36/0.60 (define @t42 () (@quantifiers_skolemize @t41 1)) % 0.36/0.60 (define @t43 () (@quantifiers_skolemize @t41 0)) % 0.36/0.60 (define @t44 () (tptp.mult tptp.op_c @t43)) % 0.36/0.60 (define @t45 () (tptp.mult @t43 @t42)) % 0.36/0.60 (define @t46 () (tptp.mult tptp.op_e @t45)) % 0.36/0.60 (define @t47 () (= @t46 (tptp.mult (tptp.mult tptp.op_e @t43) @t42))) % 0.36/0.60 (define @t48 () (not @t47)) % 0.36/0.60 (define @t49 () (not @t41)) % 0.36/0.60 (define @t50 () (@var "BOUND_VARIABLE_7530" $$unsorted)) % 0.36/0.60 (define @t51 () (@var "BOUND_VARIABLE_7528" $$unsorted)) % 0.36/0.60 (define @t52 () (forall (@list @t51 @t50) (= (tptp.mult @t51 (tptp.mult @t50 tptp.op_e)) (tptp.mult (tptp.mult @t51 @t50) tptp.op_e)))) % 0.36/0.60 (define @t53 () (@quantifiers_skolemize @t52 1)) % 0.36/0.60 (define @t54 () (@quantifiers_skolemize @t52 0)) % 0.36/0.60 (define @t55 () (tptp.mult @t54 @t53)) % 0.36/0.60 (define @t56 () (tptp.mult @t53 tptp.op_e)) % 0.36/0.60 (define @t57 () (tptp.mult @t54 @t56)) % 0.36/0.60 (define @t58 () (= @t57 (tptp.mult @t55 tptp.op_e))) % 0.36/0.60 (define @t59 () (not @t58)) % 0.36/0.60 (define @t60 () (not @t52)) % 0.36/0.60 (define @t61 () (forall @t20 @t16)) % 0.36/0.60 (define @t62 () (@list @t15 @t14)) % 0.36/0.60 (define @t63 () (forall @t20 @t18)) % 0.36/0.60 (define @t64 () (forall @t20 @t19)) % 0.36/0.60 (define @t65 () (and @t64 @t63 @t61)) % 0.36/0.60 (assume @p1 (forall @t3 (= (tptp.mult @t2 (tptp.ld @t2 @t1)) @t1))) % 0.36/0.60 (assume @p2 (forall @t3 (= (tptp.ld @t2 @t4) @t1))) % 0.36/0.60 (assume @p3 @t6) % 0.36/0.60 (assume @p4 @t8) % 0.36/0.60 (assume @p5 @t11) % 0.36/0.60 (assume @p6 (forall @t10 (= (tptp.mult tptp.unit @t2) @t2))) % 0.36/0.60 (assume @p7 (forall (@list @t12 @t1 @t2) (= (tptp.mult @t2 (tptp.mult @t1 (tptp.mult @t1 @t12))) (tptp.mult (tptp.mult @t4 @t1) @t12)))) % 0.36/0.60 (assume @p8 (forall @t3 (= (tptp.mult tptp.op_c @t4) (tptp.mult @t13 @t1)))) % 0.36/0.60 (assume @p9 (forall @t3 (= (tptp.mult @t2 (tptp.mult @t1 tptp.op_c)) (tptp.mult @t4 tptp.op_c)))) % 0.36/0.60 (assume @p10 (forall @t3 (= (tptp.mult @t2 (tptp.mult tptp.op_c @t1)) (tptp.mult (tptp.mult @t2 tptp.op_c) @t1)))) % 0.36/0.60 (assume @p11 (forall @t10 (= tptp.op_d (tptp.ld @t2 @t13)))) % 0.36/0.60 (assume @p12 (forall @t3 (= tptp.op_e (tptp.mult (tptp.mult (tptp.rd tptp.op_c @t4) @t1) @t2)))) % 0.36/0.60 (assume @p13 (forall @t3 (= tptp.op_f (tptp.mult @t2 (tptp.mult @t1 (tptp.ld @t4 tptp.op_c)))))) % 0.36/0.60 (assume @p14 @t22) % 0.36/0.60 (assume @p15 true) % 0.36/0.60 (step @p16 :rule refl :args (@t26)) % 0.36/0.60 (step @p17 :rule instantiate :premises (@p12) :args (@t27)) % 0.36/0.60 (step @p18 :rule symm :premises (@p17)) % 0.36/0.60 (step @p19 :rule refl :args (tptp.unit)) % 0.36/0.60 (step @p20 :rule eq-symm :args (@t9 @t2)) % 0.36/0.60 (step @p21 :rule cong :premises (@p20) :args (@t11)) % 0.36/0.60 (step @p22 :rule eq_resolve :premises (@p5 @p21)) % 0.36/0.60 (step @p23 :rule instantiate :premises (@p22) :args ((@list tptp.unit))) % 0.36/0.60 (step @p24 :rule refl :args (tptp.op_c)) % 0.36/0.60 (step @p25 :rule cong :premises (@p24 @p23) :args (@t28)) % 0.36/0.60 (step @p26 :rule cong :premises (@p25 @p19) :args ((tptp.mult @t28 tptp.unit))) % 0.36/0.60 (step @p27 :rule eq-symm :args (@t5 @t2)) % 0.36/0.60 (step @p28 :rule cong :premises (@p27) :args (@t6)) % 0.36/0.60 (step @p29 :rule eq_resolve :premises (@p3 @p28)) % 0.36/0.60 (step @p30 :rule instantiate :premises (@p29) :args ((@list tptp.unit tptp.op_c))) % 0.36/0.60 (step @p31 :rule trans :premises (@p30 @p26)) % 0.36/0.60 (step @p32 :rule cong :premises (@p31 @p19) :args (@t29)) % 0.36/0.60 (step @p33 :rule eq-symm :args (@t7 @t2)) % 0.36/0.60 (step @p34 :rule cong :premises (@p33) :args (@t8)) % 0.36/0.60 (step @p35 :rule eq_resolve :premises (@p4 @p34)) % 0.36/0.60 (step @p36 :rule instantiate :premises (@p35) :args ((@list tptp.unit @t29))) % 0.36/0.60 (step @p37 :rule symm :premises (@p36)) % 0.36/0.60 (step @p38 :rule instantiate :premises (@p8) :args (@t27)) % 0.36/0.60 (step @p39 :rule cong :premises (@p24 @p23) :args (@t29)) % 0.36/0.60 (step @p40 :rule symm :premises (@p32)) % 0.36/0.60 (step @p41 :rule trans :premises (@p40 @p39 @p38)) % 0.36/0.60 (step @p42 :rule cong :premises (@p41 @p19) :args ((tptp.rd (tptp.mult @t30 tptp.unit) tptp.unit))) % 0.36/0.60 (step @p43 :rule instantiate :premises (@p35) :args ((@list tptp.unit @t30))) % 0.36/0.60 (step @p44 :rule trans :premises (@p30 @p26 @p43 @p42 @p37 @p32 @p18)) % 0.36/0.60 (step @p45 :rule refl :args (@t31)) % 0.36/0.60 (step @p46 :rule cong :premises (@p45 @p44) :args (@t32)) % 0.36/0.60 (step @p47 :rule cong :premises (@p46 @p16) :args ((tptp.mult @t32 @t26))) % 0.36/0.60 (step @p48 :rule instantiate :premises (@p10) :args ((@list @t26 @t31))) % 0.36/0.60 (step @p49 :rule symm :premises (@p44)) % 0.36/0.60 (step @p50 :rule cong :premises (@p49 @p16) :args (@t33)) % 0.36/0.60 (step @p51 :rule cong :premises (@p45 @p50) :args (@t34)) % 0.36/0.60 (step @p52 :rule trans :premises (@p51 @p48 @p47)) % 0.36/0.60 (step @p53 :rule refl :args (@t36)) % 0.36/0.60 (step @p54 :rule bool-double-not-elim :args (@t25)) % 0.36/0.60 (step @p55 :rule nary_cong :premises (@p54 @p53) :args ((or (not @t37) @t36))) % 0.36/0.60 (assume-push @p116 @t37) % 0.36/0.60 (step @p57 :rule skolemize :premises (@p116)) % 0.36/0.60 (step-pop @p117 :rule scope :premises (@p57)) % 0.36/0.60 (step @p58 :rule process_scope :premises (@p117) :args (@t36)) % 0.36/0.60 (step @p60 :rule implies_elim :premises (@p58)) % 0.36/0.60 (step @p61 :rule eq_resolve :premises (@p60 @p55)) % 0.36/0.60 (step @p62 :rule chain_m_resolution :premises (@p61 @p52) :args (@t25 @t38 (@list @t35))) % 0.36/0.60 (step @p63 :rule refl :args (@t42)) % 0.36/0.60 (step @p64 :rule refl :args (@t43)) % 0.36/0.60 (step @p65 :rule trans :premises (@p32 @p18)) % 0.36/0.60 (step @p66 :rule cong :premises (@p65 @p64) :args ((tptp.mult @t29 @t43))) % 0.36/0.60 (step @p67 :rule instantiate :premises (@p8) :args ((@list @t43 tptp.unit))) % 0.36/0.60 (step @p68 :rule trans :premises (@p67 @p66)) % 0.36/0.60 (step @p69 :rule cong :premises (@p68 @p63) :args ((tptp.mult (tptp.mult tptp.op_c (tptp.mult tptp.unit @t43)) @t42))) % 0.36/0.60 (step @p70 :rule symm :premises (@p68)) % 0.36/0.60 (step @p71 :rule cong :premises (@p44 @p64) :args (@t44)) % 0.36/0.60 (step @p72 :rule trans :premises (@p71 @p70)) % 0.36/0.60 (step @p73 :rule cong :premises (@p72 @p63) :args ((tptp.mult @t44 @t42))) % 0.36/0.60 (step @p74 :rule instantiate :premises (@p8) :args ((@list @t42 @t43))) % 0.36/0.60 (step @p75 :rule refl :args (@t45)) % 0.36/0.60 (step @p76 :rule cong :premises (@p49 @p75) :args (@t46)) % 0.36/0.60 (step @p77 :rule trans :premises (@p76 @p74 @p73 @p69)) % 0.36/0.60 (step @p78 :rule refl :args (@t48)) % 0.36/0.60 (step @p79 :rule bool-double-not-elim :args (@t41)) % 0.36/0.60 (step @p80 :rule nary_cong :premises (@p79 @p78) :args ((or (not @t49) @t48))) % 0.36/0.60 (assume-push @p118 @t49) % 0.36/0.60 (step @p82 :rule skolemize :premises (@p118)) % 0.36/0.60 (step-pop @p119 :rule scope :premises (@p82)) % 0.36/0.60 (step @p83 :rule process_scope :premises (@p119) :args (@t48)) % 0.36/0.60 (step @p85 :rule implies_elim :premises (@p83)) % 0.36/0.60 (step @p86 :rule eq_resolve :premises (@p85 @p80)) % 0.36/0.60 (step @p87 :rule chain_m_resolution :premises (@p86 @p77) :args (@t41 @t38 (@list @t47))) % 0.36/0.60 (step @p88 :rule refl :args (@t55)) % 0.36/0.60 (step @p89 :rule cong :premises (@p88 @p44) :args ((tptp.mult @t55 tptp.op_c))) % 0.36/0.60 (step @p90 :rule instantiate :premises (@p9) :args ((@list @t53 @t54))) % 0.36/0.60 (step @p91 :rule refl :args (@t53)) % 0.36/0.60 (step @p92 :rule cong :premises (@p91 @p49) :args (@t56)) % 0.36/0.60 (step @p93 :rule refl :args (@t54)) % 0.36/0.60 (step @p94 :rule cong :premises (@p93 @p92) :args (@t57)) % 0.36/0.60 (step @p95 :rule trans :premises (@p94 @p90 @p89)) % 0.36/0.60 (step @p96 :rule refl :args (@t59)) % 0.36/0.60 (step @p97 :rule bool-double-not-elim :args (@t52)) % 0.36/0.60 (step @p98 :rule nary_cong :premises (@p97 @p96) :args ((or (not @t60) @t59))) % 0.36/0.60 (assume-push @p120 @t60) % 0.36/0.60 (step @p100 :rule skolemize :premises (@p120)) % 0.36/0.60 (step-pop @p121 :rule scope :premises (@p100)) % 0.36/0.60 (step @p101 :rule process_scope :premises (@p121) :args (@t59)) % 0.36/0.60 (step @p103 :rule implies_elim :premises (@p101)) % 0.36/0.60 (step @p104 :rule eq_resolve :premises (@p103 @p98)) % 0.36/0.60 (step @p105 :rule chain_m_resolution :premises (@p104 @p95) :args (@t52 @t38 (@list @t58))) % 0.36/0.60 (step @p106 :rule alpha_equiv :args (@t61 @t62 (@list @t24 @t23))) % 0.36/0.60 (step @p107 :rule alpha_equiv :args (@t63 @t62 (@list @t51 @t50))) % 0.36/0.60 (step @p108 :rule alpha_equiv :args (@t64 @t62 (@list @t40 @t39))) % 0.36/0.60 (step @p109 :rule nary_cong :premises (@p108 @p107 @p106) :args (@t65)) % 0.36/0.60 (step @p110 :rule quant-miniscope-and :args ((= @t21 @t65))) % 0.36/0.60 (step @p111 :rule trans :premises (@p110 @p109)) % 0.36/0.60 (step @p112 :rule cong :premises (@p111) :args (@t22)) % 0.36/0.60 (step @p113 :rule eq_resolve :premises (@p14 @p112)) % 0.36/0.60 (step @p114 :rule not_and :premises (@p113)) % 0.36/0.60 (step @p115 false :rule chain_m_resolution :premises (@p114 @p105 @p87 @p62) :args (false (@list false false false) (@list @t52 @t41 @t25))) % 0.36/0.60 ) % 0.36/0.60 % SZS output end Proof % 0.36/0.60 % cvc5 exiting %------------------------------------------------------------------------------