%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP039-2 : 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 : n022.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 17.20s 17.43s % Output : Proof 17.20s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GRP039-2 : 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 % 0.16/0.34 % Computer : n022.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 00:41:39 EDT 2026 % 0.16/0.34 % CPUTime : % 0.21/0.48 %----Proving TF0_NAR, FOF, or CNF % 0.33/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.33/16.07 --- Run --no-e-matching --full-saturate-quant at 6... % 17.20/17.43 % SZS status Unsatisfiable % 17.20/17.43 % SZS output start Proof % 17.20/17.44 ( % 17.20/17.44 (declare-sort $$unsorted 0) % 17.20/17.44 (declare-const tptp.d $$unsorted) % 17.20/17.44 (declare-const tptp.a $$unsorted) % 17.20/17.44 (declare-const tptp.b $$unsorted) % 17.20/17.44 (declare-const tptp.c $$unsorted) % 17.20/17.44 (declare-const tptp.element_in_O2 (-> $$unsorted $$unsorted $$unsorted)) % 17.20/17.44 (declare-const tptp.subgroup_member (-> $$unsorted Bool)) % 17.20/17.44 (declare-const tptp.inverse (-> $$unsorted $$unsorted)) % 17.20/17.44 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 17.20/17.44 (declare-const tptp.identity $$unsorted) % 17.20/17.44 (define @t1 () (@var "X" $$unsorted)) % 17.20/17.44 (define @t2 () (tptp.multiply tptp.identity @t1)) % 17.20/17.44 (define @t3 () (@list @t1)) % 17.20/17.44 (define @t4 () (forall @t3 (= @t2 @t1))) % 17.20/17.44 (define @t5 () (tptp.inverse @t1)) % 17.20/17.44 (define @t6 () (tptp.multiply @t5 @t1)) % 17.20/17.44 (define @t7 () (forall @t3 (= @t6 tptp.identity))) % 17.20/17.44 (define @t8 () (@var "Z" $$unsorted)) % 17.20/17.44 (define @t9 () (@var "Y" $$unsorted)) % 17.20/17.44 (define @t10 () (tptp.multiply @t1 @t9)) % 17.20/17.44 (define @t11 () (@list @t1 @t9 @t8)) % 17.20/17.44 (define @t12 () (forall @t11 (= (tptp.multiply @t10 @t8) (tptp.multiply @t1 (tptp.multiply @t9 @t8))))) % 17.20/17.44 (define @t13 () (tptp.subgroup_member @t1)) % 17.20/17.44 (define @t14 () (not @t13)) % 17.20/17.44 (define @t15 () (tptp.subgroup_member @t8)) % 17.20/17.44 (define @t16 () (not (= @t10 @t8))) % 17.20/17.44 (define @t17 () (tptp.subgroup_member @t9)) % 17.20/17.44 (define @t18 () (not @t17)) % 17.20/17.44 (define @t19 () (or @t14 @t18 @t16 @t15)) % 17.20/17.44 (define @t20 () (forall @t11 @t19)) % 17.20/17.44 (define @t21 () (tptp.multiply @t1 tptp.identity)) % 17.20/17.44 (define @t22 () (forall @t3 (= @t21 @t1))) % 17.20/17.44 (define @t23 () (tptp.multiply @t1 @t5)) % 17.20/17.44 (define @t24 () (forall @t3 (= @t23 tptp.identity))) % 17.20/17.44 (define @t25 () (tptp.element_in_O2 @t1 @t9)) % 17.20/17.44 (define @t26 () (@list @t1 @t9)) % 17.20/17.44 (define @t27 () (tptp.multiply @t1 @t25)) % 17.20/17.44 (define @t28 () (or @t13 @t17 (= @t27 @t9))) % 17.20/17.44 (define @t29 () (forall @t26 @t28)) % 17.20/17.44 (define @t30 () (tptp.subgroup_member tptp.b)) % 17.20/17.44 (define @t31 () (tptp.inverse tptp.a)) % 17.20/17.44 (define @t32 () (tptp.multiply tptp.b @t31)) % 17.20/17.44 (define @t33 () (tptp.multiply tptp.a tptp.c)) % 17.20/17.44 (define @t34 () (tptp.subgroup_member tptp.d)) % 17.20/17.44 (define @t35 () (not @t34)) % 17.20/17.44 (define @t36 () (@list @t31 @t32)) % 17.20/17.44 (define @t37 () (tptp.subgroup_member @t10)) % 17.20/17.44 (define @t38 () (not (= @t10 @t10))) % 17.20/17.44 (define @t39 () (or @t14 @t18 @t38 @t37)) % 17.20/17.44 (define @t40 () (not (= @t8 @t10))) % 17.20/17.44 (define @t41 () (or @t40 @t14 @t18 @t40 @t15)) % 17.20/17.44 (define @t42 () (@list @t8)) % 17.20/17.44 (define @t43 () (or @t14 @t18 @t40 @t15)) % 17.20/17.44 (define @t44 () (forall @t42 @t43)) % 17.20/17.44 (define @t45 () (forall @t26 @t44)) % 17.20/17.44 (define @t46 () (tptp.inverse tptp.b)) % 17.20/17.44 (define @t47 () (@list @t31)) % 17.20/17.44 (define @t48 () (@list tptp.a)) % 17.20/17.44 (define @t49 () (tptp.subgroup_member @t31)) % 17.20/17.44 (define @t50 () (not (tptp.subgroup_member tptp.a))) % 17.20/17.44 (define @t51 () (or @t50 @t49)) % 17.20/17.44 (define @t52 () (tptp.subgroup_member (tptp.multiply tptp.a @t32))) % 17.20/17.44 (define @t53 () (tptp.subgroup_member @t32)) % 17.20/17.44 (define @t54 () (not @t53)) % 17.20/17.44 (define @t55 () (or @t50 @t54 @t52)) % 17.20/17.44 (define @t56 () (not @t49)) % 17.20/17.44 (define @t57 () (not @t30)) % 17.20/17.44 (define @t58 () (or @t57 @t56 @t53)) % 17.20/17.44 (define @t59 () (tptp.inverse @t31)) % 17.20/17.44 (define @t60 () (tptp.subgroup_member @t59)) % 17.20/17.44 (define @t61 () (or @t56 @t60)) % 17.20/17.44 (define @t62 () (@list tptp.b)) % 17.20/17.44 (define @t63 () (tptp.multiply (tptp.multiply @t46 tptp.b) @t31)) % 17.20/17.44 (define @t64 () (tptp.multiply @t46 @t32)) % 17.20/17.44 (define @t65 () (= @t63 @t64)) % 17.20/17.44 (define @t66 () (tptp.subgroup_member @t64)) % 17.20/17.44 (define @t67 () (tptp.subgroup_member @t46)) % 17.20/17.44 (define @t68 () (or @t57 @t67)) % 17.20/17.44 (define @t69 () (not @t67)) % 17.20/17.44 (define @t70 () (or @t69 @t54 @t66)) % 17.20/17.44 (define @t71 () (tptp.element_in_O2 @t31 @t32)) % 17.20/17.44 (define @t72 () (tptp.multiply @t31 @t71)) % 17.20/17.44 (define @t73 () (= @t32 @t72)) % 17.20/17.44 (define @t74 () (or @t49 @t53 @t73)) % 17.20/17.44 (define @t75 () (@list true true false)) % 17.20/17.44 (define @t76 () (tptp.subgroup_member @t71)) % 17.20/17.44 (define @t77 () (or @t49 @t53 @t76)) % 17.20/17.44 (assume @p1 @t4) % 17.20/17.44 (assume @p2 @t7) % 17.20/17.44 (assume @p3 @t12) % 17.20/17.44 (assume @p4 (forall @t3 (or @t14 (tptp.subgroup_member @t5)))) % 17.20/17.44 (assume @p5 @t20) % 17.20/17.44 (assume @p6 @t22) % 17.20/17.44 (assume @p7 @t24) % 17.20/17.44 (assume @p8 (forall @t26 (or @t13 @t17 (tptp.subgroup_member @t25)))) % 17.20/17.44 (assume @p9 @t29) % 17.20/17.44 (assume @p10 @t30) % 17.20/17.44 (assume @p11 (= @t32 tptp.c)) % 17.20/17.44 (assume @p12 (= @t33 tptp.d)) % 17.20/17.44 (assume @p13 @t35) % 17.20/17.44 (step @p14 :rule evaluate :args ((= true false))) % 17.20/17.44 (step @p15 :rule symm :premises (@p11)) % 17.20/17.44 (step @p16 :rule refl :args (tptp.a)) % 17.20/17.44 (step @p17 :rule cong :premises (@p16 @p15) :args (@t33)) % 17.20/17.44 (step @p18 :rule refl :args (tptp.d)) % 17.20/17.44 (step @p19 :rule cong :premises (@p18 @p17) :args ((= tptp.d @t33))) % 17.20/17.44 (step @p20 :rule symm :premises (@p12)) % 17.20/17.44 (step @p21 :rule eq_resolve :premises (@p20 @p19)) % 17.20/17.44 (step @p22 :rule cong :premises (@p21) :args (@t34)) % 17.20/17.44 (step @p23 :rule cong :premises (@p22) :args (@t35)) % 17.20/17.44 (step @p24 :rule eq_resolve :premises (@p13 @p23)) % 17.20/17.44 (step @p25 :rule false_intro :premises (@p24)) % 17.20/17.44 (step @p26 :rule eq-symm :args (@t27 @t9)) % 17.20/17.44 (step @p27 :rule refl :args (@t17)) % 17.20/17.44 (step @p28 :rule refl :args (@t13)) % 17.20/17.44 (step @p29 :rule nary_cong :premises (@p28 @p27 @p26) :args (@t28)) % 17.20/17.44 (step @p30 :rule cong :premises (@p29) :args (@t29)) % 17.20/17.44 (step @p31 :rule eq_resolve :premises (@p9 @p30)) % 17.20/17.44 (step @p32 :rule instantiate :premises (@p31) :args (@t36)) % 17.20/17.44 (step @p33 :rule aci_norm :args ((= (or @t14 @t18 false @t37) (or @t14 @t18 @t37)))) % 17.20/17.44 (step @p34 :rule refl :args (@t37)) % 17.20/17.44 (step @p35 :rule evaluate :args ((not true))) % 17.20/17.44 (step @p36 :rule eq-refl :args (@t10)) % 17.20/17.44 (step @p37 :rule cong :premises (@p36) :args (@t38)) % 17.20/17.44 (step @p38 :rule trans :premises (@p37 @p35)) % 17.20/17.44 (step @p39 :rule refl :args (@t18)) % 17.20/17.44 (step @p40 :rule refl :args (@t14)) % 17.20/17.44 (step @p41 :rule nary_cong :premises (@p40 @p39 @p38 @p34) :args (@t39)) % 17.20/17.44 (step @p42 :rule trans :premises (@p41 @p33)) % 17.20/17.44 (step @p43 :rule cong :premises (@p42) :args ((forall @t26 @t39))) % 17.20/17.44 (step @p44 :rule quant-var-elim-eq :args ((= (forall @t42 @t41) @t39))) % 17.20/17.44 (step @p45 :rule aci_norm :args ((= @t43 @t41))) % 17.20/17.44 (step @p46 :rule cong :premises (@p45) :args (@t44)) % 17.20/17.44 (step @p47 :rule trans :premises (@p46 @p44)) % 17.20/17.44 (step @p48 :rule cong :premises (@p47) :args (@t45)) % 17.20/17.44 (step @p49 :rule quant-merge-prenex :args ((= @t45 (forall @t11 @t43)))) % 17.20/17.44 (step @p50 :rule symm :premises (@p49)) % 17.20/17.44 (step @p51 :rule trans :premises (@p50 @p48)) % 17.20/17.44 (step @p52 :rule trans :premises (@p51 @p43)) % 17.20/17.44 (step @p53 :rule refl :args (@t15)) % 17.20/17.44 (step @p54 :rule eq-symm :args (@t10 @t8)) % 17.20/17.44 (step @p55 :rule cong :premises (@p54) :args (@t16)) % 17.20/17.44 (step @p56 :rule nary_cong :premises (@p40 @p39 @p55 @p53) :args (@t19)) % 17.20/17.44 (step @p57 :rule cong :premises (@p56) :args (@t20)) % 17.20/17.44 (step @p58 :rule trans :premises (@p57 @p52)) % 17.20/17.44 (step @p59 :rule eq_resolve :premises (@p5 @p58)) % 17.20/17.44 (step @p60 :rule instantiate :premises (@p59) :args ((@list @t46 @t32))) % 17.20/17.44 (step @p61 :rule instantiate :premises (@p4) :args (@t47)) % 17.20/17.44 (step @p62 :rule instantiate :premises (@p4) :args (@t48)) % 17.20/17.44 (step @p63 :rule cnf_or_pos :args (@t51)) % 17.20/17.44 (step @p64 :rule reordering :premises (@p63) :args ((or @t50 @t49 (not @t51)))) % 17.20/17.44 (step @p65 :rule instantiate :premises (@p59) :args ((@list tptp.a @t32))) % 17.20/17.44 (step @p66 :rule cnf_or_pos :args (@t55)) % 17.20/17.44 (step @p67 :rule reordering :premises (@p66) :args ((or @t52 @t50 @t54 (not @t55)))) % 17.20/17.44 (step @p68 :rule instantiate :premises (@p59) :args ((@list tptp.b @t31))) % 17.20/17.44 (step @p69 :rule cnf_or_pos :args (@t58)) % 17.20/17.44 (step @p70 :rule reordering :premises (@p69) :args ((or @t57 @t56 @t53 (not @t58)))) % 17.20/17.44 (step @p71 :rule chain_m_resolution :premises (@p70 @p68 @p10 @p67 @p65 @p24 @p64 @p62) :args (@t50 (@list false false true false true false false) (@list @t58 @t30 @t53 @t55 @t52 @t49 @t51))) % 17.20/17.44 (step @p72 :rule false_intro :premises (@p71)) % 17.20/17.44 (step @p73 :rule eq-symm :args (@t2 @t1)) % 17.20/17.44 (step @p74 :rule cong :premises (@p73) :args (@t4)) % 17.20/17.44 (step @p75 :rule eq_resolve :premises (@p1 @p74)) % 17.20/17.44 (step @p76 :rule instantiate :premises (@p75) :args (@t48)) % 17.20/17.44 (step @p77 :rule symm :premises (@p76)) % 17.20/17.44 (step @p78 :rule eq-symm :args (@t6 tptp.identity)) % 17.20/17.44 (step @p79 :rule cong :premises (@p78) :args (@t7)) % 17.20/17.44 (step @p80 :rule eq_resolve :premises (@p2 @p79)) % 17.20/17.44 (step @p81 :rule instantiate :premises (@p80) :args (@t47)) % 17.20/17.44 (step @p82 :rule symm :premises (@p81)) % 17.20/17.44 (step @p83 :rule cong :premises (@p82 @p16) :args ((tptp.multiply (tptp.multiply @t59 @t31) tptp.a))) % 17.20/17.44 (step @p84 :rule instantiate :premises (@p3) :args ((@list @t59 @t31 tptp.a))) % 17.20/17.44 (step @p85 :rule symm :premises (@p84)) % 17.20/17.44 (step @p86 :rule instantiate :premises (@p80) :args (@t48)) % 17.20/17.44 (step @p87 :rule refl :args (@t59)) % 17.20/17.44 (step @p88 :rule cong :premises (@p87 @p86) :args ((tptp.multiply @t59 tptp.identity))) % 17.20/17.44 (step @p89 :rule eq-symm :args (@t21 @t1)) % 17.20/17.44 (step @p90 :rule cong :premises (@p89) :args (@t22)) % 17.20/17.44 (step @p91 :rule eq_resolve :premises (@p6 @p90)) % 17.20/17.44 (step @p92 :rule instantiate :premises (@p91) :args ((@list @t59))) % 17.20/17.44 (step @p93 :rule trans :premises (@p92 @p88 @p85 @p83 @p77)) % 17.20/17.44 (step @p94 :rule cong :premises (@p93) :args (@t60)) % 17.20/17.44 (step @p95 :rule trans :premises (@p94 @p72)) % 17.20/17.44 (step @p96 :rule false_elim :premises (@p95)) % 17.20/17.44 (step @p97 :rule cnf_or_pos :args (@t61)) % 17.20/17.44 (step @p98 :rule reordering :premises (@p97) :args ((or @t56 @t60 (not @t61)))) % 17.20/17.44 (step @p99 :rule chain_m_resolution :premises (@p98 @p96 @p61) :args (@t56 (@list true false) (@list @t60 @t61))) % 17.20/17.44 (step @p100 :rule false_intro :premises (@p99)) % 17.20/17.44 (step @p101 :rule instantiate :premises (@p75) :args (@t47)) % 17.20/17.44 (step @p102 :rule symm :premises (@p101)) % 17.20/17.44 (step @p103 :rule refl :args (@t31)) % 17.20/17.44 (step @p104 :rule instantiate :premises (@p80) :args (@t62)) % 17.20/17.44 (step @p105 :rule symm :premises (@p104)) % 17.20/17.44 (step @p106 :rule cong :premises (@p105 @p103) :args (@t63)) % 17.20/17.44 (step @p107 :rule eq-symm :args (@t63 @t64)) % 17.20/17.44 (step @p108 :rule refl :args (@t12)) % 17.20/17.44 (step @p109 :rule cong :premises (@p108 @p107) :args ((=> @t12 @t65))) % 17.20/17.44 (assume-push @p151 @t12) % 17.20/17.44 (step @p111 :rule instantiate :premises (@p3) :args ((@list @t46 tptp.b @t31))) % 17.20/17.44 (step-pop @p152 :rule scope :premises (@p111)) % 17.20/17.44 (step @p112 :rule process_scope :premises (@p152) :args (@t65)) % 17.20/17.44 (step @p114 :rule eq_resolve :premises (@p112 @p109)) % 17.20/17.44 (step @p115 :rule implies_elim :premises (@p114)) % 17.20/17.44 (step @p116 :rule chain_m_resolution :premises (@p115 @p3) :args ((= @t64 @t63) (@list false) (@list @t12))) % 17.20/17.44 (step @p117 :rule trans :premises (@p116 @p106 @p102)) % 17.20/17.44 (step @p118 :rule cong :premises (@p117) :args (@t66)) % 17.20/17.44 (step @p119 :rule trans :premises (@p118 @p100)) % 17.20/17.44 (step @p120 :rule false_elim :premises (@p119)) % 17.20/17.44 (step @p121 :rule instantiate :premises (@p4) :args (@t62)) % 17.20/17.44 (step @p122 :rule cnf_or_pos :args (@t68)) % 17.20/17.44 (step @p123 :rule reordering :premises (@p122) :args ((or @t57 @t67 (not @t68)))) % 17.20/17.44 (step @p124 :rule chain_m_resolution :premises (@p123 @p10 @p121) :args (@t67 (@list false false) (@list @t30 @t68))) % 17.20/17.44 (step @p125 :rule cnf_or_pos :args (@t70)) % 17.20/17.44 (step @p126 :rule reordering :premises (@p125) :args ((or @t69 @t54 @t66 (not @t70)))) % 17.20/17.44 (step @p127 :rule chain_m_resolution :premises (@p126 @p124 @p120 @p60) :args (@t54 (@list false true false) (@list @t67 @t66 @t70))) % 17.20/17.44 (step @p128 :rule cnf_or_pos :args (@t74)) % 17.20/17.44 (step @p129 :rule reordering :premises (@p128) :args ((or @t49 @t53 @t73 (not @t74)))) % 17.20/17.44 (step @p130 :rule chain_m_resolution :premises (@p129 @p99 @p127 @p32) :args (@t73 @t75 (@list @t49 @t53 @t74))) % 17.20/17.44 (step @p131 :rule symm :premises (@p130)) % 17.20/17.44 (step @p132 :rule cong :premises (@p16 @p131) :args ((tptp.multiply tptp.a @t72))) % 17.20/17.44 (step @p133 :rule instantiate :premises (@p3) :args ((@list tptp.a @t31 @t71))) % 17.20/17.44 (step @p134 :rule refl :args (@t71)) % 17.20/17.44 (step @p135 :rule eq-symm :args (@t23 tptp.identity)) % 17.20/17.44 (step @p136 :rule cong :premises (@p135) :args (@t24)) % 17.20/17.44 (step @p137 :rule eq_resolve :premises (@p7 @p136)) % 17.20/17.44 (step @p138 :rule instantiate :premises (@p137) :args (@t48)) % 17.20/17.44 (step @p139 :rule cong :premises (@p138 @p134) :args ((tptp.multiply tptp.identity @t71))) % 17.20/17.44 (step @p140 :rule instantiate :premises (@p75) :args ((@list @t71))) % 17.20/17.44 (step @p141 :rule trans :premises (@p140 @p139 @p133 @p132)) % 17.20/17.44 (step @p142 :rule cong :premises (@p141) :args (@t76)) % 17.20/17.44 (step @p143 :rule instantiate :premises (@p8) :args (@t36)) % 17.20/17.44 (step @p144 :rule cnf_or_pos :args (@t77)) % 17.20/17.44 (step @p145 :rule reordering :premises (@p144) :args ((or @t49 @t53 @t76 (not @t77)))) % 17.20/17.44 (step @p146 :rule chain_m_resolution :premises (@p145 @p99 @p127 @p143) :args (@t76 @t75 (@list @t49 @t53 @t77))) % 17.20/17.44 (step @p147 :rule true_intro :premises (@p146)) % 17.20/17.44 (step @p148 :rule symm :premises (@p147)) % 17.20/17.44 (step @p149 :rule trans :premises (@p148 @p142 @p25)) % 17.20/17.44 (step @p150 false :rule eq_resolve :premises (@p149 @p14)) % 17.20/17.44 ) % 17.20/17.44 % SZS output end Proof % 17.20/17.44 % cvc5 exiting %------------------------------------------------------------------------------