%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP037-3 : TPTP v9.2.1. Released v1.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n002.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 08:19:40 AM UTC 2026 % Result : Unsatisfiable 0.37s 0.58s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GRP037-3 : TPTP v9.2.1. Released v1.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n002.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 00:41:33 EDT 2026 % 0.17/0.34 % CPUTime : % 0.30/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.30/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.37/0.58 % SZS status Unsatisfiable % 0.37/0.58 % SZS output start Proof % 0.37/0.59 ( % 0.37/0.59 (declare-sort $$unsorted 0) % 0.37/0.59 (declare-const tptp.a $$unsorted) % 0.37/0.59 (declare-const tptp.another_identity $$unsorted) % 0.37/0.59 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.59 (declare-const tptp.subgroup_member (-> $$unsorted Bool)) % 0.37/0.59 (declare-const tptp.inverse (-> $$unsorted $$unsorted)) % 0.37/0.59 (declare-const tptp.another_inverse (-> $$unsorted $$unsorted)) % 0.37/0.59 (declare-const tptp.product (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.37/0.59 (declare-const tptp.identity $$unsorted) % 0.37/0.59 (define @t1 () (@var "X" $$unsorted)) % 0.37/0.59 (define @t2 () (@list @t1)) % 0.37/0.59 (define @t3 () (tptp.inverse @t1)) % 0.37/0.59 (define @t4 () (@var "Y" $$unsorted)) % 0.37/0.59 (define @t5 () (@var "W" $$unsorted)) % 0.37/0.59 (define @t6 () (@var "Z" $$unsorted)) % 0.37/0.59 (define @t7 () (@var "V" $$unsorted)) % 0.37/0.59 (define @t8 () (tptp.product @t1 @t7 @t5)) % 0.37/0.59 (define @t9 () (@var "U" $$unsorted)) % 0.37/0.59 (define @t10 () (tptp.product @t9 @t6 @t5)) % 0.37/0.59 (define @t11 () (not (tptp.product @t4 @t6 @t7))) % 0.37/0.59 (define @t12 () (not (tptp.product @t1 @t4 @t9))) % 0.37/0.59 (define @t13 () (@list @t1 @t4 @t9 @t6 @t7 @t5)) % 0.37/0.59 (define @t14 () (@var "C" $$unsorted)) % 0.37/0.59 (define @t15 () (@var "B" $$unsorted)) % 0.37/0.59 (define @t16 () (@var "A" $$unsorted)) % 0.37/0.59 (define @t17 () (not (tptp.subgroup_member @t16))) % 0.37/0.59 (define @t18 () (@list @t16)) % 0.37/0.59 (define @t19 () (tptp.another_inverse @t16)) % 0.37/0.59 (define @t20 () (@var "D" $$unsorted)) % 0.37/0.59 (define @t21 () (not (tptp.product @t16 @t20 @t14))) % 0.37/0.59 (define @t22 () (not (tptp.product @t16 @t15 @t14))) % 0.37/0.59 (define @t23 () (or @t22 @t21 (= @t20 @t15))) % 0.37/0.59 (define @t24 () (@list @t16 @t15 @t14 @t20)) % 0.37/0.59 (define @t25 () (forall @t24 @t23)) % 0.37/0.59 (define @t26 () (tptp.subgroup_member tptp.a)) % 0.37/0.59 (define @t27 () (tptp.another_inverse tptp.a)) % 0.37/0.59 (define @t28 () (tptp.inverse tptp.a)) % 0.37/0.59 (define @t29 () (= @t28 @t27)) % 0.37/0.59 (define @t30 () (@list tptp.a)) % 0.37/0.59 (define @t31 () (not (tptp.product tptp.a @t27 tptp.identity))) % 0.37/0.59 (define @t32 () (tptp.product tptp.a @t28 tptp.identity)) % 0.37/0.59 (define @t33 () (not @t32)) % 0.37/0.59 (define @t34 () (or @t33 @t31 @t29)) % 0.37/0.59 (define @t35 () (tptp.product tptp.a tptp.another_identity tptp.a)) % 0.37/0.59 (define @t36 () (not @t26)) % 0.37/0.59 (define @t37 () (or @t36 @t35)) % 0.37/0.59 (define @t38 () (@list false false)) % 0.37/0.59 (define @t39 () (tptp.product tptp.identity tptp.another_identity tptp.identity)) % 0.37/0.59 (define @t40 () (tptp.product @t28 tptp.a tptp.identity)) % 0.37/0.59 (define @t41 () (not @t40)) % 0.37/0.59 (define @t42 () (not @t35)) % 0.37/0.59 (define @t43 () (or @t41 @t42 @t41 @t39)) % 0.37/0.59 (define @t44 () (@list false false false)) % 0.37/0.59 (define @t45 () (= tptp.identity tptp.another_identity)) % 0.37/0.59 (define @t46 () (not @t39)) % 0.37/0.59 (define @t47 () (tptp.product tptp.identity tptp.identity tptp.identity)) % 0.37/0.59 (define @t48 () (not @t47)) % 0.37/0.59 (define @t49 () (or @t48 @t46 @t45)) % 0.37/0.59 (define @t50 () (tptp.another_inverse @t27)) % 0.37/0.59 (define @t51 () (@list @t27)) % 0.37/0.59 (define @t52 () (tptp.subgroup_member @t27)) % 0.37/0.59 (define @t53 () (or @t36 @t52)) % 0.37/0.59 (define @t54 () (tptp.product @t27 @t50 tptp.another_identity)) % 0.37/0.59 (define @t55 () (not @t52)) % 0.37/0.59 (define @t56 () (or @t55 @t54)) % 0.37/0.59 (define @t57 () (tptp.product @t27 tptp.a tptp.another_identity)) % 0.37/0.59 (define @t58 () (or @t36 @t57)) % 0.37/0.59 (define @t59 () (= tptp.a @t50)) % 0.37/0.59 (define @t60 () (not @t54)) % 0.37/0.59 (define @t61 () (not @t57)) % 0.37/0.59 (define @t62 () (or @t61 @t60 @t59)) % 0.37/0.59 (define @t63 () (tptp.product @t50 @t27 tptp.another_identity)) % 0.37/0.59 (define @t64 () (or @t55 @t63)) % 0.37/0.59 (assume @p1 (forall @t2 (tptp.product tptp.identity @t1 @t1))) % 0.37/0.59 (assume @p2 (forall @t2 (tptp.product @t1 tptp.identity @t1))) % 0.37/0.59 (assume @p3 (forall @t2 (tptp.product @t3 @t1 tptp.identity))) % 0.37/0.59 (assume @p4 (forall @t2 (tptp.product @t1 @t3 tptp.identity))) % 0.37/0.59 (assume @p5 (forall (@list @t1 @t4) (tptp.product @t1 @t4 (tptp.multiply @t1 @t4)))) % 0.37/0.59 (assume @p6 (forall (@list @t1 @t4 @t6 @t5) (or (not (tptp.product @t1 @t4 @t6)) (not (tptp.product @t1 @t4 @t5)) (= @t6 @t5)))) % 0.37/0.59 (assume @p7 (forall @t13 (or @t12 @t11 (not @t10) @t8))) % 0.37/0.59 (assume @p8 (forall @t13 (or @t12 @t11 (not @t8) @t10))) % 0.37/0.59 (assume @p9 (forall (@list @t16 @t15 @t14) (or @t17 (not (tptp.subgroup_member @t15)) (not (tptp.product @t16 (tptp.inverse @t15) @t14)) (tptp.subgroup_member @t14)))) % 0.37/0.59 (assume @p10 (forall @t18 (or @t17 (tptp.product tptp.another_identity @t16 @t16)))) % 0.37/0.59 (assume @p11 (forall @t18 (or @t17 (tptp.product @t16 tptp.another_identity @t16)))) % 0.37/0.59 (assume @p12 (forall @t18 (or @t17 (tptp.product @t16 @t19 tptp.another_identity)))) % 0.37/0.59 (assume @p13 (forall @t18 (or @t17 (tptp.product @t19 @t16 tptp.another_identity)))) % 0.37/0.59 (assume @p14 (forall @t18 (or @t17 (tptp.subgroup_member @t19)))) % 0.37/0.59 (assume @p15 @t25) % 0.37/0.59 (assume @p16 (forall @t24 (or @t22 (not (tptp.product @t20 @t15 @t14)) (= @t20 @t16)))) % 0.37/0.59 (assume @p17 @t26) % 0.37/0.59 (assume @p18 (tptp.subgroup_member tptp.another_identity)) % 0.37/0.59 (assume @p19 (not @t29)) % 0.37/0.59 (step @p20 :rule evaluate :args ((= true false))) % 0.37/0.59 (step @p21 :rule eq-symm :args (@t20 @t15)) % 0.37/0.59 (step @p22 :rule refl :args (@t21)) % 0.37/0.59 (step @p23 :rule refl :args (@t22)) % 0.37/0.59 (step @p24 :rule nary_cong :premises (@p23 @p22 @p21) :args (@t23)) % 0.37/0.59 (step @p25 :rule cong :premises (@p24) :args (@t25)) % 0.37/0.59 (step @p26 :rule eq_resolve :premises (@p15 @p25)) % 0.37/0.59 (step @p27 :rule instantiate :premises (@p26) :args ((@list tptp.a @t28 tptp.identity @t27))) % 0.37/0.59 (step @p28 :rule instantiate :premises (@p4) :args (@t30)) % 0.37/0.59 (step @p29 :rule cnf_or_pos :args (@t34)) % 0.37/0.59 (step @p30 :rule reordering :premises (@p29) :args ((or @t29 @t33 @t31 (not @t34)))) % 0.37/0.59 (step @p31 :rule chain_m_resolution :premises (@p30 @p19 @p28 @p27) :args (@t31 (@list true false false) (@list @t29 @t32 @t34))) % 0.37/0.59 (step @p32 :rule false_intro :premises (@p31)) % 0.37/0.59 (step @p33 :rule instantiate :premises (@p26) :args ((@list tptp.identity tptp.identity tptp.identity tptp.another_identity))) % 0.37/0.59 (step @p34 :rule instantiate :premises (@p1) :args ((@list tptp.identity))) % 0.37/0.59 (step @p35 :rule instantiate :premises (@p8) :args ((@list @t28 tptp.a tptp.identity tptp.another_identity tptp.a tptp.identity))) % 0.37/0.59 (step @p36 :rule instantiate :premises (@p11) :args (@t30)) % 0.37/0.59 (step @p37 :rule cnf_or_pos :args (@t37)) % 0.37/0.59 (step @p38 :rule reordering :premises (@p37) :args ((or @t36 @t35 (not @t37)))) % 0.37/0.59 (step @p39 :rule chain_m_resolution :premises (@p38 @p17 @p36) :args (@t35 @t38 (@list @t26 @t37))) % 0.37/0.59 (step @p40 :rule instantiate :premises (@p3) :args (@t30)) % 0.37/0.59 (step @p41 :rule cnf_or_pos :args (@t43)) % 0.37/0.59 (step @p42 :rule factoring :premises (@p41)) % 0.37/0.59 (step @p43 :rule reordering :premises (@p42) :args ((or @t41 @t42 @t39 (not @t43)))) % 0.37/0.59 (step @p44 :rule chain_m_resolution :premises (@p43 @p40 @p39 @p35) :args (@t39 @t44 (@list @t40 @t35 @t43))) % 0.37/0.59 (step @p45 :rule cnf_or_pos :args (@t49)) % 0.37/0.59 (step @p46 :rule reordering :premises (@p45) :args ((or @t46 @t48 @t45 (not @t49)))) % 0.37/0.59 (step @p47 :rule chain_m_resolution :premises (@p46 @p44 @p34 @p33) :args (@t45 @t44 (@list @t39 @t47 @t49))) % 0.37/0.59 (step @p48 :rule symm :premises (@p47)) % 0.37/0.59 (step @p49 :rule refl :args (@t27)) % 0.37/0.59 (step @p50 :rule instantiate :premises (@p26) :args ((@list @t27 tptp.a tptp.another_identity @t50))) % 0.37/0.59 (step @p51 :rule instantiate :premises (@p12) :args (@t51)) % 0.37/0.59 (step @p52 :rule instantiate :premises (@p14) :args (@t30)) % 0.37/0.59 (step @p53 :rule cnf_or_pos :args (@t53)) % 0.37/0.59 (step @p54 :rule reordering :premises (@p53) :args ((or @t36 @t52 (not @t53)))) % 0.37/0.59 (step @p55 :rule chain_m_resolution :premises (@p54 @p17 @p52) :args (@t52 @t38 (@list @t26 @t53))) % 0.37/0.59 (step @p56 :rule cnf_or_pos :args (@t56)) % 0.37/0.59 (step @p57 :rule reordering :premises (@p56) :args ((or @t55 @t54 (not @t56)))) % 0.37/0.59 (step @p58 :rule chain_m_resolution :premises (@p57 @p55 @p51) :args (@t54 @t38 (@list @t52 @t56))) % 0.37/0.59 (step @p59 :rule instantiate :premises (@p13) :args (@t30)) % 0.37/0.59 (step @p60 :rule cnf_or_pos :args (@t58)) % 0.37/0.59 (step @p61 :rule reordering :premises (@p60) :args ((or @t36 @t57 (not @t58)))) % 0.37/0.59 (step @p62 :rule chain_m_resolution :premises (@p61 @p17 @p59) :args (@t57 @t38 (@list @t26 @t58))) % 0.37/0.59 (step @p63 :rule cnf_or_pos :args (@t62)) % 0.37/0.59 (step @p64 :rule reordering :premises (@p63) :args ((or @t61 @t60 @t59 (not @t62)))) % 0.37/0.59 (step @p65 :rule chain_m_resolution :premises (@p64 @p62 @p58 @p50) :args (@t59 @t44 (@list @t57 @t54 @t62))) % 0.37/0.59 (step @p66 :rule symm :premises (@p65)) % 0.37/0.59 (step @p67 :rule cong :premises (@p66 @p49 @p48) :args (@t63)) % 0.37/0.59 (step @p68 :rule instantiate :premises (@p13) :args (@t51)) % 0.37/0.59 (step @p69 :rule cnf_or_pos :args (@t64)) % 0.37/0.59 (step @p70 :rule reordering :premises (@p69) :args ((or @t55 @t63 (not @t64)))) % 0.37/0.59 (step @p71 :rule chain_m_resolution :premises (@p70 @p55 @p68) :args (@t63 @t38 (@list @t52 @t64))) % 0.37/0.59 (step @p72 :rule true_intro :premises (@p71)) % 0.37/0.59 (step @p73 :rule symm :premises (@p72)) % 0.37/0.59 (step @p74 :rule trans :premises (@p73 @p67 @p32)) % 0.37/0.59 (step @p75 false :rule eq_resolve :premises (@p74 @p20)) % 0.37/0.59 ) % 0.37/0.59 % SZS output end Proof % 0.37/0.59 % cvc5 exiting %------------------------------------------------------------------------------