%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP402-1 : TPTP v9.2.1. Released v2.5.0. % 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 08:20:41 AM UTC 2026 % Result : Unsatisfiable 0.14s 0.39s % Output : Proof 0.14s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : GRP402-1 : TPTP v9.2.1. Released v2.5.0. % 0.00/0.06 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.06/0.24 % Computer : n024.cluster.edu % 0.06/0.24 % Model : x86_64 x86_64 % 0.06/0.24 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.06/0.24 % Memory : 8042.1875MB % 0.06/0.24 % OS : Linux 3.10.0-693.el7.x86_64 % 0.06/0.24 % CPULimit : 300 % 0.06/0.24 % WCLimit : 300 % 0.06/0.24 % DateTime : Mon Jun 1 20:03:15 EDT 2026 % 0.06/0.25 % CPUTime : % 0.06/0.32 %----Proving TF0_NAR, FOF, or CNF % 0.14/0.33 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.14/0.39 % SZS status Unsatisfiable % 0.14/0.39 % SZS output start Proof % 0.14/0.40 ( % 0.14/0.40 (declare-sort $$unsorted 0) % 0.14/0.40 (declare-const tptp.a $$unsorted) % 0.14/0.40 (declare-const tptp.b $$unsorted) % 0.14/0.40 (declare-const tptp.c $$unsorted) % 0.14/0.40 (declare-const tptp.commutator (-> $$unsorted $$unsorted $$unsorted)) % 0.14/0.40 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 0.14/0.40 (define @t1 () (@var "Z" $$unsorted)) % 0.14/0.40 (define @t2 () (@var "Y" $$unsorted)) % 0.14/0.40 (define @t3 () (@var "X" $$unsorted)) % 0.14/0.40 (define @t4 () (forall (@list @t3 @t2 @t1) (= (tptp.multiply (tptp.multiply @t3 @t2) @t1) (tptp.multiply @t3 (tptp.multiply @t2 @t1))))) % 0.14/0.40 (define @t5 () (@var "C" $$unsorted)) % 0.14/0.40 (define @t6 () (@var "A" $$unsorted)) % 0.14/0.40 (define @t7 () (@var "B" $$unsorted)) % 0.14/0.40 (define @t8 () (tptp.multiply @t6 @t7)) % 0.14/0.40 (define @t9 () (@list @t6 @t7 @t5)) % 0.14/0.40 (define @t10 () (forall @t9 (or (not (= @t8 (tptp.multiply @t6 @t5))) (= @t7 @t5)))) % 0.14/0.40 (define @t11 () (tptp.commutator @t6 @t7)) % 0.14/0.40 (define @t12 () (forall @t9 (= (tptp.multiply @t11 @t5) (tptp.multiply @t5 @t11)))) % 0.14/0.40 (define @t13 () (tptp.commutator tptp.b tptp.c)) % 0.14/0.40 (define @t14 () (tptp.commutator tptp.a @t13)) % 0.14/0.40 (define @t15 () (tptp.commutator tptp.a tptp.b)) % 0.14/0.40 (define @t16 () (tptp.commutator @t15 tptp.c)) % 0.14/0.40 (define @t17 () (= @t16 @t14)) % 0.14/0.40 (define @t18 () (tptp.multiply tptp.b tptp.a)) % 0.14/0.40 (define @t19 () (tptp.multiply @t18 @t15)) % 0.14/0.40 (define @t20 () (tptp.multiply tptp.a @t15)) % 0.14/0.40 (define @t21 () (tptp.multiply tptp.b @t20)) % 0.14/0.40 (define @t22 () (= @t19 @t21)) % 0.14/0.40 (define @t23 () (@list tptp.b tptp.a @t15)) % 0.14/0.40 (define @t24 () (= @t21 @t19)) % 0.14/0.40 (define @t25 () (@list false)) % 0.14/0.40 (define @t26 () (@list @t4)) % 0.14/0.40 (define @t27 () (tptp.multiply @t15 tptp.a)) % 0.14/0.40 (define @t28 () (= @t27 @t20)) % 0.14/0.40 (define @t29 () (= @t20 @t27)) % 0.14/0.40 (define @t30 () (@list @t12)) % 0.14/0.40 (define @t31 () (@list tptp.b @t15 tptp.a)) % 0.14/0.40 (define @t32 () (tptp.multiply @t15 @t16)) % 0.14/0.40 (define @t33 () (= (tptp.multiply tptp.c @t32) (tptp.multiply tptp.c @t15))) % 0.14/0.40 (define @t34 () (not @t33)) % 0.14/0.40 (define @t35 () (or @t34 (= @t32 @t15))) % 0.14/0.40 (define @t36 () (= @t15 @t32)) % 0.14/0.40 (define @t37 () (or @t34 @t36)) % 0.14/0.40 (define @t38 () (@list @t10)) % 0.14/0.40 (define @t39 () (@list false false)) % 0.14/0.40 (define @t40 () (tptp.multiply tptp.a @t14)) % 0.14/0.40 (define @t41 () (tptp.multiply @t13 tptp.a)) % 0.14/0.40 (define @t42 () (= (tptp.multiply @t13 @t40) @t41)) % 0.14/0.40 (define @t43 () (not @t42)) % 0.14/0.40 (define @t44 () (or @t43 (= @t40 tptp.a))) % 0.14/0.40 (define @t45 () (= tptp.a @t40)) % 0.14/0.40 (define @t46 () (or @t43 @t45)) % 0.14/0.40 (define @t47 () (tptp.multiply tptp.a @t13)) % 0.14/0.40 (define @t48 () (= @t41 @t47)) % 0.14/0.40 (define @t49 () (tptp.multiply tptp.b @t15)) % 0.14/0.40 (define @t50 () (@list @t49 tptp.a @t14)) % 0.14/0.40 (define @t51 () (tptp.multiply @t49 tptp.a)) % 0.14/0.40 (define @t52 () (tptp.multiply @t51 @t14)) % 0.14/0.40 (define @t53 () (= @t52 (tptp.multiply @t51 @t16))) % 0.14/0.40 (define @t54 () (not @t53)) % 0.14/0.40 (define @t55 () (or @t54 (= @t14 @t16))) % 0.14/0.40 (define @t56 () (or @t54 @t17)) % 0.14/0.40 (define @t57 () (tptp.multiply @t49 @t40)) % 0.14/0.40 (define @t58 () (= @t52 @t57)) % 0.14/0.40 (define @t59 () (not @t58)) % 0.14/0.40 (define @t60 () (tptp.multiply @t19 @t16)) % 0.14/0.40 (define @t61 () (= @t60 (tptp.multiply @t18 @t32))) % 0.14/0.40 (define @t62 () (not @t61)) % 0.14/0.40 (define @t63 () (not @t36)) % 0.14/0.40 (define @t64 () (not @t45)) % 0.14/0.40 (define @t65 () (= @t51 (tptp.multiply tptp.b @t27))) % 0.14/0.40 (define @t66 () (not @t65)) % 0.14/0.40 (define @t67 () (not @t29)) % 0.14/0.40 (define @t68 () (not @t24)) % 0.14/0.40 (define @t69 () (and @t53 @t54)) % 0.14/0.40 (assume @p1 @t4) % 0.14/0.40 (assume @p2 (forall @t9 (or (not (= @t8 (tptp.multiply @t5 @t7))) (= @t6 @t5)))) % 0.14/0.40 (assume @p3 @t10) % 0.14/0.40 (assume @p4 (forall (@list @t6 @t7) (= @t8 (tptp.multiply @t7 (tptp.multiply @t6 @t11))))) % 0.14/0.40 (assume @p5 @t12) % 0.14/0.40 (assume @p6 (not @t17)) % 0.14/0.40 (step @p7 :rule eq-symm :args (@t19 @t21)) % 0.14/0.40 (step @p8 :rule refl :args (@t4)) % 0.14/0.40 (step @p9 :rule cong :premises (@p8 @p7) :args ((=> @t4 @t22))) % 0.14/0.40 (assume-push @p150 @t4) % 0.14/0.40 (step @p11 :rule instantiate :premises (@p1) :args (@t23)) % 0.14/0.40 (step-pop @p151 :rule scope :premises (@p11)) % 0.14/0.40 (step @p12 :rule process_scope :premises (@p151) :args (@t22)) % 0.14/0.40 (step @p14 :rule eq_resolve :premises (@p12 @p9)) % 0.14/0.40 (step @p15 :rule implies_elim :premises (@p14)) % 0.14/0.40 (step @p16 :rule chain_m_resolution :premises (@p15 @p1) :args (@t24 @t25 @t26)) % 0.14/0.40 (step @p17 :rule eq-symm :args (@t27 @t20)) % 0.14/0.40 (step @p18 :rule refl :args (@t12)) % 0.14/0.40 (step @p19 :rule cong :premises (@p18 @p17) :args ((=> @t12 @t28))) % 0.14/0.40 (assume-push @p152 @t12) % 0.14/0.40 (step @p21 :rule instantiate :premises (@p5) :args ((@list tptp.a tptp.b tptp.a))) % 0.14/0.40 (step-pop @p153 :rule scope :premises (@p21)) % 0.14/0.40 (step @p22 :rule process_scope :premises (@p153) :args (@t28)) % 0.14/0.40 (step @p24 :rule eq_resolve :premises (@p22 @p19)) % 0.14/0.40 (step @p25 :rule implies_elim :premises (@p24)) % 0.14/0.40 (step @p26 :rule chain_m_resolution :premises (@p25 @p5) :args (@t29 @t25 @t30)) % 0.14/0.40 (step @p27 :rule instantiate :premises (@p1) :args (@t31)) % 0.14/0.40 (step @p28 :rule eq-symm :args (@t32 @t15)) % 0.14/0.40 (step @p29 :rule refl :args (@t34)) % 0.14/0.40 (step @p30 :rule nary_cong :premises (@p29 @p28) :args (@t35)) % 0.14/0.40 (step @p31 :rule refl :args (@t10)) % 0.14/0.40 (step @p32 :rule cong :premises (@p31 @p30) :args ((=> @t10 @t35))) % 0.14/0.40 (assume-push @p154 @t10) % 0.14/0.40 (step @p34 :rule instantiate :premises (@p3) :args ((@list tptp.c @t32 @t15))) % 0.14/0.40 (step-pop @p155 :rule scope :premises (@p34)) % 0.14/0.40 (step @p35 :rule process_scope :premises (@p155) :args (@t35)) % 0.14/0.40 (step @p37 :rule eq_resolve :premises (@p35 @p32)) % 0.14/0.40 (step @p38 :rule implies_elim :premises (@p37)) % 0.14/0.40 (step @p39 :rule chain_m_resolution :premises (@p38 @p3) :args (@t37 @t25 @t38)) % 0.14/0.40 (step @p40 :rule instantiate :premises (@p5) :args ((@list tptp.a tptp.b tptp.c))) % 0.14/0.40 (step @p41 :rule instantiate :premises (@p4) :args ((@list @t15 tptp.c))) % 0.14/0.40 (step @p42 :rule symm :premises (@p41)) % 0.14/0.40 (step @p43 :rule trans :premises (@p42 @p40)) % 0.14/0.40 (step @p44 :rule cnf_or_pos :args (@t37)) % 0.14/0.40 (step @p45 :rule reordering :premises (@p44) :args ((or @t34 @t36 (not @t37)))) % 0.14/0.40 (step @p46 :rule chain_m_resolution :premises (@p45 @p43 @p39) :args (@t36 @t39 (@list @t33 @t37))) % 0.14/0.40 (step @p47 :rule eq-symm :args (@t40 tptp.a)) % 0.14/0.40 (step @p48 :rule refl :args (@t43)) % 0.14/0.40 (step @p49 :rule nary_cong :premises (@p48 @p47) :args (@t44)) % 0.14/0.40 (step @p50 :rule cong :premises (@p31 @p49) :args ((=> @t10 @t44))) % 0.14/0.40 (assume-push @p156 @t10) % 0.14/0.40 (step @p52 :rule instantiate :premises (@p3) :args ((@list @t13 @t40 tptp.a))) % 0.14/0.40 (step-pop @p157 :rule scope :premises (@p52)) % 0.14/0.40 (step @p53 :rule process_scope :premises (@p157) :args (@t44)) % 0.14/0.40 (step @p55 :rule eq_resolve :premises (@p53 @p50)) % 0.14/0.40 (step @p56 :rule implies_elim :premises (@p55)) % 0.14/0.40 (step @p57 :rule chain_m_resolution :premises (@p56 @p3) :args (@t46 @t25 @t38)) % 0.14/0.40 (step @p58 :rule eq-symm :args (@t41 @t47)) % 0.14/0.40 (step @p59 :rule cong :premises (@p18 @p58) :args ((=> @t12 @t48))) % 0.14/0.40 (assume-push @p158 @t12) % 0.14/0.40 (step @p61 :rule instantiate :premises (@p5) :args ((@list tptp.b tptp.c tptp.a))) % 0.14/0.40 (step-pop @p159 :rule scope :premises (@p61)) % 0.14/0.40 (step @p62 :rule process_scope :premises (@p159) :args (@t48)) % 0.14/0.40 (step @p64 :rule eq_resolve :premises (@p62 @p59)) % 0.14/0.40 (step @p65 :rule implies_elim :premises (@p64)) % 0.14/0.40 (step @p66 :rule chain_m_resolution :premises (@p65 @p5) :args ((= @t47 @t41) @t25 @t30)) % 0.14/0.40 (step @p67 :rule instantiate :premises (@p4) :args ((@list tptp.a @t13))) % 0.14/0.40 (step @p68 :rule symm :premises (@p67)) % 0.14/0.40 (step @p69 :rule trans :premises (@p68 @p66)) % 0.14/0.40 (step @p70 :rule cnf_or_pos :args (@t46)) % 0.14/0.40 (step @p71 :rule reordering :premises (@p70) :args ((or @t43 @t45 (not @t46)))) % 0.14/0.40 (step @p72 :rule chain_m_resolution :premises (@p71 @p69 @p57) :args (@t45 @t39 (@list @t42 @t46))) % 0.14/0.40 (step @p73 :rule instantiate :premises (@p1) :args ((@list @t18 @t15 @t16))) % 0.14/0.40 (step @p74 :rule instantiate :premises (@p1) :args (@t50)) % 0.14/0.40 (step @p75 :rule eq-symm :args (@t14 @t16)) % 0.14/0.40 (step @p76 :rule refl :args (@t54)) % 0.14/0.40 (step @p77 :rule nary_cong :premises (@p76 @p75) :args (@t55)) % 0.14/0.40 (step @p78 :rule cong :premises (@p31 @p77) :args ((=> @t10 @t55))) % 0.14/0.40 (assume-push @p160 @t10) % 0.14/0.40 (step @p80 :rule instantiate :premises (@p3) :args ((@list @t51 @t14 @t16))) % 0.14/0.40 (step-pop @p161 :rule scope :premises (@p80)) % 0.14/0.40 (step @p81 :rule process_scope :premises (@p161) :args (@t55)) % 0.14/0.40 (step @p83 :rule eq_resolve :premises (@p81 @p78)) % 0.14/0.40 (step @p84 :rule implies_elim :premises (@p83)) % 0.14/0.40 (step @p85 :rule chain_m_resolution :premises (@p84 @p3) :args (@t56 @t25 @t38)) % 0.14/0.40 (step @p86 :rule cnf_or_pos :args (@t56)) % 0.14/0.40 (step @p87 :rule reordering :premises (@p86) :args ((or @t17 @t54 (not @t56)))) % 0.14/0.40 (step @p88 :rule chain_m_resolution :premises (@p87 @p6 @p85) :args (@t54 (@list true false) (@list @t17 @t56))) % 0.14/0.40 (step @p89 :rule bool-double-not-elim :args (@t53)) % 0.14/0.40 (step @p90 :rule refl :args (@t59)) % 0.14/0.40 (step @p91 :rule refl :args (@t62)) % 0.14/0.40 (step @p92 :rule refl :args (@t63)) % 0.14/0.40 (step @p93 :rule refl :args (@t64)) % 0.14/0.40 (step @p94 :rule refl :args (@t66)) % 0.14/0.40 (step @p95 :rule refl :args (@t67)) % 0.14/0.40 (step @p96 :rule refl :args (@t68)) % 0.14/0.40 (step @p97 :rule nary_cong :premises (@p96 @p95 @p94 @p93 @p92 @p91 @p90 @p89) :args ((or @t68 @t67 @t66 @t64 @t63 @t62 @t59 (not @t54)))) % 0.14/0.40 (assume-push @p162 @t53) % 0.14/0.40 (assume-push @p163 @t54) % 0.14/0.40 (step @p100 :rule evaluate :args ((= true false))) % 0.14/0.40 (step @p101 :rule false_intro :premises (@p88)) % 0.14/0.40 (step @p102 :rule refl :args (@t16)) % 0.14/0.40 (step @p103 :rule symm :premises (@p27)) % 0.14/0.40 (step @p104 :rule refl :args (tptp.b)) % 0.14/0.40 (step @p105 :rule cong :premises (@p104 @p26) :args (@t21)) % 0.14/0.40 (step @p11 :rule instantiate :premises (@p1) :args (@t23)) % 0.14/0.40 (step @p106 :rule trans :premises (@p11 @p105 @p103)) % 0.14/0.40 (step @p107 :rule cong :premises (@p106 @p102) :args (@t60)) % 0.14/0.40 (step @p108 :rule symm :premises (@p73)) % 0.14/0.40 (step @p109 :rule refl :args (@t18)) % 0.14/0.40 (step @p110 :rule cong :premises (@p109 @p46) :args (@t19)) % 0.14/0.40 (step @p111 :rule chain_m_resolution :premises (@p15 @p1) :args (@t24 @t25 @t26)) % 0.14/0.40 (step @p112 :rule symm :premises (@p105)) % 0.14/0.40 (step @p113 :rule instantiate :premises (@p1) :args (@t31)) % 0.14/0.40 (step @p114 :rule symm :premises (@p72)) % 0.14/0.40 (step @p115 :rule refl :args (@t49)) % 0.14/0.40 (step @p116 :rule cong :premises (@p115 @p114) :args (@t57)) % 0.14/0.40 (step @p117 :rule instantiate :premises (@p1) :args (@t50)) % 0.14/0.40 (step @p118 :rule trans :premises (@p117 @p116 @p113 @p112 @p111 @p110 @p108 @p107)) % 0.14/0.40 (step @p119 :rule true_intro :premises (@p118)) % 0.14/0.40 (step @p120 :rule symm :premises (@p119)) % 0.14/0.40 (step @p121 :rule trans :premises (@p120 @p101)) % 0.14/0.40 (step @p122 false :rule eq_resolve :premises (@p121 @p100)) % 0.14/0.40 (step-pop @p164 :rule scope :premises (@p122)) % 0.14/0.40 (step-pop @p165 :rule scope :premises (@p164)) % 0.14/0.40 (step @p123 :rule process_scope :premises (@p165) :args (false)) % 0.14/0.40 (assume-push @p166 @t24) % 0.14/0.40 (assume-push @p167 @t29) % 0.14/0.40 (assume-push @p168 @t65) % 0.14/0.40 (assume-push @p169 @t45) % 0.14/0.40 (assume-push @p170 @t36) % 0.14/0.40 (assume-push @p171 @t61) % 0.14/0.40 (assume-push @p172 @t58) % 0.14/0.40 (assume-push @p173 @t54) % 0.14/0.40 (step @p102 :rule refl :args (@t16)) % 0.14/0.40 (step @p103 :rule symm :premises (@p27)) % 0.14/0.40 (step @p104 :rule refl :args (tptp.b)) % 0.14/0.40 (step @p105 :rule cong :premises (@p104 @p26) :args (@t21)) % 0.14/0.40 (step @p11 :rule instantiate :premises (@p1) :args (@t23)) % 0.14/0.40 (step @p106 :rule trans :premises (@p11 @p105 @p103)) % 0.14/0.40 (step @p107 :rule cong :premises (@p106 @p102) :args (@t60)) % 0.14/0.40 (step @p108 :rule symm :premises (@p73)) % 0.14/0.40 (step @p109 :rule refl :args (@t18)) % 0.14/0.40 (step @p110 :rule cong :premises (@p109 @p46) :args (@t19)) % 0.14/0.40 (step @p112 :rule symm :premises (@p105)) % 0.14/0.40 (step @p114 :rule symm :premises (@p72)) % 0.14/0.40 (step @p115 :rule refl :args (@t49)) % 0.14/0.40 (step @p116 :rule cong :premises (@p115 @p114) :args (@t57)) % 0.14/0.40 (step @p134 :rule trans :premises (@p74 @p116 @p27 @p112 @p16 @p110 @p108 @p107)) % 0.14/0.40 (step @p135 :rule and_intro :premises (@p134 @p88)) % 0.14/0.40 (step-pop @p174 :rule scope :premises (@p135)) % 0.14/0.40 (step-pop @p175 :rule scope :premises (@p174)) % 0.14/0.40 (step-pop @p176 :rule scope :premises (@p175)) % 0.14/0.40 (step-pop @p177 :rule scope :premises (@p176)) % 0.14/0.40 (step-pop @p178 :rule scope :premises (@p177)) % 0.14/0.40 (step-pop @p179 :rule scope :premises (@p178)) % 0.14/0.40 (step-pop @p180 :rule scope :premises (@p179)) % 0.14/0.40 (step-pop @p181 :rule scope :premises (@p180)) % 0.14/0.40 (step @p136 :rule process_scope :premises (@p181) :args (@t69)) % 0.14/0.40 (step @p145 :rule implies_elim :premises (@p136)) % 0.14/0.40 (step @p146 :rule resolution :premises (@p145 @p123) :args (true @t69)) % 0.14/0.40 (step @p147 :rule not_and :premises (@p146)) % 0.14/0.40 (step @p148 :rule eq_resolve :premises (@p147 @p97)) % 0.14/0.40 (step @p149 false :rule chain_m_resolution :premises (@p148 @p88 @p74 @p73 @p72 @p46 @p27 @p26 @p16) :args (false (@list true false false false false false false false) (@list @t53 @t58 @t61 @t45 @t36 @t65 @t29 @t24))) % 0.14/0.40 ) % 0.14/0.40 % SZS output end Proof % 0.14/0.40 % cvc5 exiting %------------------------------------------------------------------------------