%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP702+1 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n018.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 0.35s 0.59s % Output : Proof 0.35s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GRP702+1 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n018.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 01:53:35 EDT 2026 % 0.15/0.34 % CPUTime : % 0.26/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.35/0.59 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.35/0.59 % SZS status Theorem % 0.35/0.59 % SZS output start Proof % 0.35/0.59 ( % 0.35/0.59 (declare-sort $$unsorted 0) % 0.35/0.59 (declare-const tptp.op_e $$unsorted) % 0.35/0.59 (declare-const tptp.op_d $$unsorted) % 0.35/0.59 (declare-const tptp.op_c $$unsorted) % 0.35/0.59 (declare-const tptp.unit $$unsorted) % 0.35/0.59 (declare-const tptp.op_f $$unsorted) % 0.35/0.59 (declare-const tptp.rd (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.59 (declare-const tptp.mult (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.59 (declare-const tptp.ld (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.59 (define @t1 () (@var "B" $$unsorted)) % 0.35/0.59 (define @t2 () (@var "A" $$unsorted)) % 0.35/0.59 (define @t3 () (tptp.mult @t2 (tptp.ld @t2 @t1))) % 0.35/0.59 (define @t4 () (@list @t1 @t2)) % 0.35/0.59 (define @t5 () (forall @t4 (= @t3 @t1))) % 0.35/0.59 (define @t6 () (tptp.mult @t2 @t1)) % 0.35/0.59 (define @t7 () (tptp.ld @t2 @t6)) % 0.35/0.59 (define @t8 () (forall @t4 (= @t7 @t1))) % 0.35/0.59 (define @t9 () (tptp.mult (tptp.rd @t2 @t1) @t1)) % 0.35/0.59 (define @t10 () (forall @t4 (= @t9 @t2))) % 0.35/0.59 (define @t11 () (tptp.rd @t6 @t1)) % 0.35/0.59 (define @t12 () (forall @t4 (= @t11 @t2))) % 0.35/0.59 (define @t13 () (tptp.mult @t2 tptp.unit)) % 0.35/0.59 (define @t14 () (@list @t2)) % 0.35/0.59 (define @t15 () (forall @t14 (= @t13 @t2))) % 0.35/0.59 (define @t16 () (@var "C" $$unsorted)) % 0.35/0.59 (define @t17 () (tptp.mult tptp.op_c @t2)) % 0.35/0.59 (define @t18 () (@var "X1" $$unsorted)) % 0.35/0.59 (define @t19 () (@var "X0" $$unsorted)) % 0.35/0.59 (define @t20 () (= (tptp.mult @t19 (tptp.mult tptp.op_d @t18)) (tptp.mult (tptp.mult @t19 tptp.op_d) @t18))) % 0.35/0.59 (define @t21 () (tptp.mult @t19 @t18)) % 0.35/0.59 (define @t22 () (= (tptp.mult @t19 (tptp.mult @t18 tptp.op_d)) (tptp.mult @t21 tptp.op_d))) % 0.35/0.59 (define @t23 () (= (tptp.mult tptp.op_d @t21) (tptp.mult (tptp.mult tptp.op_d @t19) @t18))) % 0.35/0.59 (define @t24 () (@list @t19 @t18)) % 0.35/0.59 (define @t25 () (forall @t24 (and @t23 @t22 @t20))) % 0.35/0.59 (define @t26 () (not @t25)) % 0.35/0.59 (define @t27 () (@var "BOUND_VARIABLE_7541" $$unsorted)) % 0.35/0.59 (define @t28 () (@var "BOUND_VARIABLE_7539" $$unsorted)) % 0.35/0.59 (define @t29 () (forall (@list @t28 @t27) (= (tptp.mult @t28 (tptp.mult tptp.op_d @t27)) (tptp.mult (tptp.mult @t28 tptp.op_d) @t27)))) % 0.35/0.59 (define @t30 () (@quantifiers_skolemize @t29 1)) % 0.35/0.59 (define @t31 () (@list tptp.unit)) % 0.35/0.59 (define @t32 () (tptp.mult tptp.unit tptp.unit)) % 0.35/0.59 (define @t33 () (tptp.mult tptp.unit @t32)) % 0.35/0.59 (define @t34 () (tptp.ld @t32 tptp.op_c)) % 0.35/0.59 (define @t35 () (tptp.mult tptp.unit @t34)) % 0.35/0.59 (define @t36 () (tptp.mult tptp.unit tptp.op_c)) % 0.35/0.59 (define @t37 () (@list tptp.unit tptp.unit)) % 0.35/0.59 (define @t38 () (tptp.mult tptp.op_c tptp.unit)) % 0.35/0.59 (define @t39 () (tptp.rd tptp.op_c @t32)) % 0.35/0.59 (define @t40 () (tptp.mult @t39 tptp.unit)) % 0.35/0.59 (define @t41 () (tptp.mult @t40 tptp.unit)) % 0.35/0.59 (define @t42 () (@quantifiers_skolemize @t29 0)) % 0.35/0.59 (define @t43 () (tptp.mult @t42 tptp.op_c)) % 0.35/0.59 (define @t44 () (tptp.mult tptp.op_d @t30)) % 0.35/0.59 (define @t45 () (tptp.mult @t42 @t44)) % 0.35/0.59 (define @t46 () (= @t45 (tptp.mult (tptp.mult @t42 tptp.op_d) @t30))) % 0.35/0.59 (define @t47 () (not @t46)) % 0.35/0.59 (define @t48 () (not @t29)) % 0.35/0.59 (define @t49 () (@list false)) % 0.35/0.59 (define @t50 () (@var "BOUND_VARIABLE_7519" $$unsorted)) % 0.35/0.59 (define @t51 () (@var "BOUND_VARIABLE_7517" $$unsorted)) % 0.35/0.59 (define @t52 () (forall (@list @t51 @t50) (= (tptp.mult tptp.op_d (tptp.mult @t51 @t50)) (tptp.mult (tptp.mult tptp.op_d @t51) @t50)))) % 0.35/0.59 (define @t53 () (@quantifiers_skolemize @t52 1)) % 0.35/0.59 (define @t54 () (@quantifiers_skolemize @t52 0)) % 0.35/0.59 (define @t55 () (tptp.mult tptp.op_c @t54)) % 0.35/0.59 (define @t56 () (tptp.mult @t54 @t53)) % 0.35/0.59 (define @t57 () (tptp.mult tptp.op_d @t56)) % 0.35/0.59 (define @t58 () (= @t57 (tptp.mult (tptp.mult tptp.op_d @t54) @t53))) % 0.35/0.59 (define @t59 () (not @t58)) % 0.35/0.59 (define @t60 () (not @t52)) % 0.35/0.59 (define @t61 () (@var "BOUND_VARIABLE_7530" $$unsorted)) % 0.35/0.59 (define @t62 () (@var "BOUND_VARIABLE_7528" $$unsorted)) % 0.35/0.59 (define @t63 () (forall (@list @t62 @t61) (= (tptp.mult @t62 (tptp.mult @t61 tptp.op_d)) (tptp.mult (tptp.mult @t62 @t61) tptp.op_d)))) % 0.35/0.59 (define @t64 () (@quantifiers_skolemize @t63 1)) % 0.35/0.59 (define @t65 () (@quantifiers_skolemize @t63 0)) % 0.35/0.59 (define @t66 () (tptp.mult @t65 @t64)) % 0.35/0.59 (define @t67 () (tptp.mult @t64 tptp.op_d)) % 0.35/0.59 (define @t68 () (tptp.mult @t65 @t67)) % 0.35/0.59 (define @t69 () (= @t68 (tptp.mult @t66 tptp.op_d))) % 0.35/0.59 (define @t70 () (not @t69)) % 0.35/0.59 (define @t71 () (not @t63)) % 0.35/0.59 (define @t72 () (forall @t24 @t20)) % 0.35/0.59 (define @t73 () (@list @t19 @t18)) % 0.35/0.59 (define @t74 () (forall @t24 @t22)) % 0.35/0.59 (define @t75 () (forall @t24 @t23)) % 0.35/0.59 (define @t76 () (and @t75 @t74 @t72)) % 0.35/0.59 (assume @p1 @t5) % 0.35/0.59 (assume @p2 @t8) % 0.35/0.59 (assume @p3 @t10) % 0.35/0.59 (assume @p4 @t12) % 0.35/0.59 (assume @p5 @t15) % 0.35/0.59 (assume @p6 (forall @t14 (= (tptp.mult tptp.unit @t2) @t2))) % 0.35/0.59 (assume @p7 (forall (@list @t16 @t1 @t2) (= (tptp.mult @t2 (tptp.mult @t1 (tptp.mult @t1 @t16))) (tptp.mult (tptp.mult @t6 @t1) @t16)))) % 0.35/0.59 (assume @p8 (forall @t4 (= (tptp.mult tptp.op_c @t6) (tptp.mult @t17 @t1)))) % 0.35/0.59 (assume @p9 (forall @t4 (= (tptp.mult @t2 (tptp.mult @t1 tptp.op_c)) (tptp.mult @t6 tptp.op_c)))) % 0.35/0.59 (assume @p10 (forall @t4 (= (tptp.mult @t2 (tptp.mult tptp.op_c @t1)) (tptp.mult (tptp.mult @t2 tptp.op_c) @t1)))) % 0.35/0.59 (assume @p11 (forall @t14 (= tptp.op_d (tptp.ld @t2 @t17)))) % 0.35/0.59 (assume @p12 (forall @t4 (= tptp.op_e (tptp.mult (tptp.mult (tptp.rd tptp.op_c @t6) @t1) @t2)))) % 0.35/0.59 (assume @p13 (forall @t4 (= tptp.op_f (tptp.mult @t2 (tptp.mult @t1 (tptp.ld @t6 tptp.op_c)))))) % 0.35/0.59 (assume @p14 @t26) % 0.35/0.59 (assume @p15 true) % 0.35/0.59 (step @p16 :rule refl :args (@t30)) % 0.35/0.59 (step @p17 :rule instantiate :premises (@p11) :args (@t31)) % 0.35/0.59 (step @p18 :rule symm :premises (@p17)) % 0.35/0.59 (step @p19 :rule eq-symm :args (@t13 @t2)) % 0.35/0.59 (step @p20 :rule cong :premises (@p19) :args (@t15)) % 0.35/0.59 (step @p21 :rule eq_resolve :premises (@p5 @p20)) % 0.35/0.59 (step @p22 :rule instantiate :premises (@p21) :args (@t31)) % 0.35/0.59 (step @p23 :rule symm :premises (@p22)) % 0.35/0.59 (step @p24 :rule refl :args (tptp.unit)) % 0.35/0.59 (step @p25 :rule cong :premises (@p24 @p23) :args (@t33)) % 0.35/0.59 (step @p26 :rule trans :premises (@p25 @p23)) % 0.35/0.59 (step @p27 :rule eq-symm :args (@t3 @t1)) % 0.35/0.59 (step @p28 :rule cong :premises (@p27) :args (@t5)) % 0.35/0.59 (step @p29 :rule eq_resolve :premises (@p1 @p28)) % 0.35/0.59 (step @p30 :rule instantiate :premises (@p29) :args ((@list tptp.op_c tptp.unit))) % 0.35/0.59 (step @p31 :rule symm :premises (@p30)) % 0.35/0.59 (step @p32 :rule refl :args (tptp.op_c)) % 0.35/0.59 (step @p33 :rule cong :premises (@p23 @p32) :args (@t34)) % 0.35/0.59 (step @p34 :rule cong :premises (@p24 @p33) :args (@t35)) % 0.35/0.59 (step @p35 :rule eq-symm :args (@t7 @t1)) % 0.35/0.59 (step @p36 :rule cong :premises (@p35) :args (@t8)) % 0.35/0.59 (step @p37 :rule eq_resolve :premises (@p2 @p36)) % 0.35/0.59 (step @p38 :rule instantiate :premises (@p37) :args ((@list @t35 tptp.unit))) % 0.35/0.59 (step @p39 :rule symm :premises (@p38)) % 0.35/0.59 (step @p40 :rule symm :premises (@p34)) % 0.35/0.59 (step @p41 :rule trans :premises (@p30 @p40)) % 0.35/0.59 (step @p42 :rule cong :premises (@p24 @p41) :args (@t36)) % 0.35/0.59 (step @p43 :rule cong :premises (@p23 @p32) :args ((tptp.mult @t32 tptp.op_c))) % 0.35/0.59 (step @p44 :rule instantiate :premises (@p9) :args (@t37)) % 0.35/0.59 (step @p45 :rule trans :premises (@p44 @p43 @p42)) % 0.35/0.59 (step @p46 :rule cong :premises (@p24 @p45) :args ((tptp.ld tptp.unit (tptp.mult tptp.unit @t36)))) % 0.35/0.59 (step @p47 :rule instantiate :premises (@p37) :args ((@list @t36 tptp.unit))) % 0.35/0.59 (step @p48 :rule trans :premises (@p47 @p46 @p39 @p34 @p31)) % 0.35/0.59 (step @p49 :rule cong :premises (@p48 @p26) :args ((tptp.mult @t36 @t33))) % 0.35/0.59 (step @p50 :rule symm :premises (@p26)) % 0.35/0.59 (step @p51 :rule refl :args (@t36)) % 0.35/0.59 (step @p52 :rule cong :premises (@p51 @p50) :args ((tptp.mult @t36 tptp.unit))) % 0.35/0.59 (step @p53 :rule instantiate :premises (@p10) :args (@t37)) % 0.35/0.59 (step @p54 :rule trans :premises (@p53 @p52 @p49)) % 0.35/0.59 (step @p55 :rule cong :premises (@p24 @p54) :args ((tptp.ld tptp.unit (tptp.mult tptp.unit @t38)))) % 0.35/0.59 (step @p56 :rule instantiate :premises (@p37) :args ((@list @t38 tptp.unit))) % 0.35/0.59 (step @p57 :rule eq-symm :args (@t11 @t2)) % 0.35/0.59 (step @p58 :rule cong :premises (@p57) :args (@t12)) % 0.35/0.59 (step @p59 :rule eq_resolve :premises (@p4 @p58)) % 0.35/0.59 (step @p60 :rule instantiate :premises (@p59) :args ((@list tptp.unit @t38))) % 0.35/0.59 (step @p61 :rule symm :premises (@p60)) % 0.35/0.59 (step @p62 :rule instantiate :premises (@p8) :args (@t37)) % 0.35/0.59 (step @p63 :rule cong :premises (@p32 @p22) :args (@t38)) % 0.35/0.59 (step @p64 :rule eq-symm :args (@t9 @t2)) % 0.35/0.59 (step @p65 :rule cong :premises (@p64) :args (@t10)) % 0.35/0.59 (step @p66 :rule eq_resolve :premises (@p3 @p65)) % 0.35/0.59 (step @p67 :rule instantiate :premises (@p66) :args ((@list tptp.unit tptp.op_c))) % 0.35/0.59 (step @p68 :rule symm :premises (@p67)) % 0.35/0.59 (step @p69 :rule cong :premises (@p32 @p23) :args (@t39)) % 0.35/0.59 (step @p70 :rule cong :premises (@p69 @p24) :args (@t40)) % 0.35/0.59 (step @p71 :rule trans :premises (@p70 @p68)) % 0.35/0.59 (step @p72 :rule cong :premises (@p71 @p24) :args (@t41)) % 0.35/0.59 (step @p73 :rule trans :premises (@p72 @p63 @p62)) % 0.35/0.59 (step @p74 :rule cong :premises (@p73 @p24) :args ((tptp.rd @t41 tptp.unit))) % 0.35/0.59 (step @p75 :rule instantiate :premises (@p59) :args ((@list tptp.unit @t40))) % 0.35/0.59 (step @p76 :rule symm :premises (@p70)) % 0.35/0.59 (step @p77 :rule trans :premises (@p67 @p76 @p75 @p74 @p61 @p56 @p55 @p18)) % 0.35/0.59 (step @p78 :rule refl :args (@t42)) % 0.35/0.59 (step @p79 :rule cong :premises (@p78 @p77) :args (@t43)) % 0.35/0.59 (step @p80 :rule cong :premises (@p79 @p16) :args ((tptp.mult @t43 @t30))) % 0.35/0.59 (step @p81 :rule instantiate :premises (@p10) :args ((@list @t30 @t42))) % 0.35/0.59 (step @p82 :rule symm :premises (@p77)) % 0.35/0.59 (step @p83 :rule cong :premises (@p82 @p16) :args (@t44)) % 0.35/0.59 (step @p84 :rule cong :premises (@p78 @p83) :args (@t45)) % 0.35/0.59 (step @p85 :rule trans :premises (@p84 @p81 @p80)) % 0.35/0.59 (step @p86 :rule refl :args (@t47)) % 0.35/0.59 (step @p87 :rule bool-double-not-elim :args (@t29)) % 0.35/0.59 (step @p88 :rule nary_cong :premises (@p87 @p86) :args ((or (not @t48) @t47))) % 0.35/0.59 (assume-push @p142 @t48) % 0.35/0.59 (step @p90 :rule skolemize :premises (@p142)) % 0.35/0.59 (step-pop @p143 :rule scope :premises (@p90)) % 0.35/0.59 (step @p91 :rule process_scope :premises (@p143) :args (@t47)) % 0.35/0.59 (step @p93 :rule implies_elim :premises (@p91)) % 0.35/0.59 (step @p94 :rule eq_resolve :premises (@p93 @p88)) % 0.35/0.59 (step @p95 :rule chain_m_resolution :premises (@p94 @p85) :args (@t29 @t49 (@list @t46))) % 0.35/0.59 (step @p96 :rule refl :args (@t53)) % 0.35/0.59 (step @p97 :rule refl :args (@t54)) % 0.35/0.59 (step @p98 :rule cong :premises (@p77 @p97) :args (@t55)) % 0.35/0.59 (step @p99 :rule cong :premises (@p98 @p96) :args ((tptp.mult @t55 @t53))) % 0.35/0.59 (step @p100 :rule instantiate :premises (@p8) :args ((@list @t53 @t54))) % 0.35/0.59 (step @p101 :rule refl :args (@t56)) % 0.35/0.59 (step @p102 :rule cong :premises (@p82 @p101) :args (@t57)) % 0.35/0.59 (step @p103 :rule trans :premises (@p102 @p100 @p99)) % 0.35/0.59 (step @p104 :rule refl :args (@t59)) % 0.35/0.59 (step @p105 :rule bool-double-not-elim :args (@t52)) % 0.35/0.59 (step @p106 :rule nary_cong :premises (@p105 @p104) :args ((or (not @t60) @t59))) % 0.35/0.59 (assume-push @p144 @t60) % 0.35/0.59 (step @p108 :rule skolemize :premises (@p144)) % 0.35/0.59 (step-pop @p145 :rule scope :premises (@p108)) % 0.35/0.59 (step @p109 :rule process_scope :premises (@p145) :args (@t59)) % 0.35/0.59 (step @p111 :rule implies_elim :premises (@p109)) % 0.35/0.59 (step @p112 :rule eq_resolve :premises (@p111 @p106)) % 0.35/0.59 (step @p113 :rule chain_m_resolution :premises (@p112 @p103) :args (@t52 @t49 (@list @t58))) % 0.35/0.59 (step @p114 :rule refl :args (@t66)) % 0.35/0.59 (step @p115 :rule cong :premises (@p114 @p77) :args ((tptp.mult @t66 tptp.op_c))) % 0.35/0.59 (step @p116 :rule instantiate :premises (@p9) :args ((@list @t64 @t65))) % 0.35/0.59 (step @p117 :rule refl :args (@t64)) % 0.35/0.59 (step @p118 :rule cong :premises (@p117 @p82) :args (@t67)) % 0.35/0.59 (step @p119 :rule refl :args (@t65)) % 0.35/0.59 (step @p120 :rule cong :premises (@p119 @p118) :args (@t68)) % 0.35/0.59 (step @p121 :rule trans :premises (@p120 @p116 @p115)) % 0.35/0.59 (step @p122 :rule refl :args (@t70)) % 0.35/0.59 (step @p123 :rule bool-double-not-elim :args (@t63)) % 0.35/0.59 (step @p124 :rule nary_cong :premises (@p123 @p122) :args ((or (not @t71) @t70))) % 0.35/0.59 (assume-push @p146 @t71) % 0.35/0.59 (step @p126 :rule skolemize :premises (@p146)) % 0.35/0.59 (step-pop @p147 :rule scope :premises (@p126)) % 0.35/0.59 (step @p127 :rule process_scope :premises (@p147) :args (@t70)) % 0.35/0.59 (step @p129 :rule implies_elim :premises (@p127)) % 0.35/0.59 (step @p130 :rule eq_resolve :premises (@p129 @p124)) % 0.35/0.59 (step @p131 :rule chain_m_resolution :premises (@p130 @p121) :args (@t63 @t49 (@list @t69))) % 0.35/0.59 (step @p132 :rule alpha_equiv :args (@t72 @t73 (@list @t28 @t27))) % 0.35/0.59 (step @p133 :rule alpha_equiv :args (@t74 @t73 (@list @t62 @t61))) % 0.35/0.59 (step @p134 :rule alpha_equiv :args (@t75 @t73 (@list @t51 @t50))) % 0.35/0.59 (step @p135 :rule nary_cong :premises (@p134 @p133 @p132) :args (@t76)) % 0.35/0.59 (step @p136 :rule quant-miniscope-and :args ((= @t25 @t76))) % 0.35/0.59 (step @p137 :rule trans :premises (@p136 @p135)) % 0.35/0.59 (step @p138 :rule cong :premises (@p137) :args (@t26)) % 0.35/0.59 (step @p139 :rule eq_resolve :premises (@p14 @p138)) % 0.35/0.59 (step @p140 :rule not_and :premises (@p139)) % 0.35/0.59 (step @p141 false :rule chain_m_resolution :premises (@p140 @p131 @p113 @p95) :args (false (@list false false false) (@list @t63 @t52 @t29))) % 0.35/0.59 ) % 0.35/0.59 % SZS output end Proof % 0.35/0.59 % cvc5 exiting %------------------------------------------------------------------------------