%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP684-1 : 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 : n017.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 08:21:18 AM UTC 2026 % Result : Unsatisfiable 15.99s 16.25s % Output : Proof 15.99s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GRP684-1 : 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 % 0.17/0.35 % Computer : n017.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 01:49:16 EDT 2026 % 0.17/0.35 % CPUTime : % 0.25/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.25/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.69/15.90 --- Run --no-e-matching --full-saturate-quant at 6... % 15.99/16.25 % SZS status Unsatisfiable % 15.99/16.25 % SZS output start Proof % 15.99/16.26 ( % 15.99/16.26 (declare-sort $$unsorted 0) % 15.99/16.26 (declare-const tptp.b $$unsorted) % 15.99/16.26 (declare-const tptp.a $$unsorted) % 15.99/16.26 (declare-const tptp.c $$unsorted) % 15.99/16.26 (declare-const tptp.rd (-> $$unsorted $$unsorted $$unsorted)) % 15.99/16.26 (declare-const tptp.ld (-> $$unsorted $$unsorted $$unsorted)) % 15.99/16.26 (declare-const tptp.mult (-> $$unsorted $$unsorted $$unsorted)) % 15.99/16.26 (define @t1 () (@var "A" $$unsorted)) % 15.99/16.26 (define @t2 () (tptp.mult @t1 @t1)) % 15.99/16.26 (define @t3 () (tptp.ld @t1 @t2)) % 15.99/16.26 (define @t4 () (@list @t1)) % 15.99/16.26 (define @t5 () (forall @t4 (= @t3 @t1))) % 15.99/16.26 (define @t6 () (tptp.rd @t2 @t1)) % 15.99/16.26 (define @t7 () (forall @t4 (= @t6 @t1))) % 15.99/16.26 (define @t8 () (@var "B" $$unsorted)) % 15.99/16.26 (define @t9 () (tptp.mult @t1 @t8)) % 15.99/16.26 (define @t10 () (tptp.ld @t1 @t8)) % 15.99/16.26 (define @t11 () (@list @t1 @t8)) % 15.99/16.26 (define @t12 () (forall @t11 (= (tptp.mult @t1 @t10) (tptp.ld @t1 @t9)))) % 15.99/16.26 (define @t13 () (forall @t11 (= (tptp.mult (tptp.rd @t1 @t8) @t8) (tptp.rd @t9 @t8)))) % 15.99/16.26 (define @t14 () (@var "D" $$unsorted)) % 15.99/16.26 (define @t15 () (@var "C" $$unsorted)) % 15.99/16.26 (define @t16 () (@list @t1 @t8 @t15 @t14)) % 15.99/16.26 (define @t17 () (tptp.rd @t15 @t14)) % 15.99/16.26 (define @t18 () (forall @t16 (= (tptp.rd (tptp.mult @t9 @t17) @t17) (tptp.mult @t1 (tptp.rd (tptp.mult @t8 @t14) @t14))))) % 15.99/16.26 (define @t19 () (tptp.mult tptp.b tptp.c)) % 15.99/16.26 (define @t20 () (tptp.rd (tptp.mult tptp.a @t19) @t19)) % 15.99/16.26 (define @t21 () (= @t20 (tptp.rd (tptp.mult tptp.a tptp.c) tptp.c))) % 15.99/16.26 (define @t22 () (not @t21)) % 15.99/16.26 (define @t23 () (tptp.rd tptp.a tptp.a)) % 15.99/16.26 (define @t24 () (tptp.mult @t23 tptp.a)) % 15.99/16.26 (define @t25 () (tptp.rd (tptp.mult tptp.a tptp.a) tptp.a)) % 15.99/16.26 (define @t26 () (= @t24 @t25)) % 15.99/16.26 (define @t27 () (@list tptp.a tptp.a)) % 15.99/16.26 (define @t28 () (= @t25 @t24)) % 15.99/16.26 (define @t29 () (@list false)) % 15.99/16.26 (define @t30 () (@list @t13)) % 15.99/16.26 (define @t31 () (@list tptp.c)) % 15.99/16.26 (define @t32 () (tptp.ld tptp.c tptp.c)) % 15.99/16.26 (define @t33 () (tptp.mult tptp.c @t32)) % 15.99/16.26 (define @t34 () (tptp.mult tptp.c tptp.c)) % 15.99/16.26 (define @t35 () (tptp.ld tptp.c @t34)) % 15.99/16.26 (define @t36 () (= @t33 @t35)) % 15.99/16.26 (define @t37 () (@list tptp.c tptp.c)) % 15.99/16.26 (define @t38 () (= @t35 @t33)) % 15.99/16.26 (define @t39 () (tptp.rd tptp.c tptp.c)) % 15.99/16.26 (define @t40 () (tptp.mult @t39 tptp.c)) % 15.99/16.26 (define @t41 () (tptp.rd @t34 tptp.c)) % 15.99/16.26 (define @t42 () (= @t40 @t41)) % 15.99/16.26 (define @t43 () (= @t41 @t40)) % 15.99/16.26 (define @t44 () (tptp.mult @t19 tptp.c)) % 15.99/16.26 (define @t45 () (tptp.mult @t19 @t19)) % 15.99/16.26 (define @t46 () (tptp.rd @t45 @t19)) % 15.99/16.26 (define @t47 () (tptp.mult @t24 @t46)) % 15.99/16.26 (define @t48 () (tptp.rd @t47 @t46)) % 15.99/16.26 (define @t49 () (tptp.mult @t23 @t20)) % 15.99/16.26 (define @t50 () (= @t48 @t49)) % 15.99/16.26 (define @t51 () (= @t49 @t48)) % 15.99/16.26 (define @t52 () (@list @t18)) % 15.99/16.26 (define @t53 () (tptp.mult tptp.c @t19)) % 15.99/16.26 (define @t54 () (tptp.rd @t53 @t19)) % 15.99/16.26 (define @t55 () (tptp.mult @t24 @t54)) % 15.99/16.26 (define @t56 () (tptp.rd @t55 @t54)) % 15.99/16.26 (define @t57 () (= @t56 @t49)) % 15.99/16.26 (define @t58 () (= @t49 @t56)) % 15.99/16.26 (define @t59 () (not @t58)) % 15.99/16.26 (define @t60 () (not @t51)) % 15.99/16.26 (define @t61 () (tptp.mult @t32 tptp.c)) % 15.99/16.26 (define @t62 () (tptp.rd @t61 tptp.c)) % 15.99/16.26 (define @t63 () (tptp.mult tptp.c @t62)) % 15.99/16.26 (define @t64 () (tptp.rd @t44 tptp.c)) % 15.99/16.26 (define @t65 () (= (tptp.rd (tptp.mult @t33 @t64) @t64) @t63)) % 15.99/16.26 (define @t66 () (not @t65)) % 15.99/16.26 (define @t67 () (tptp.mult @t19 @t41)) % 15.99/16.26 (define @t68 () (tptp.rd @t67 @t41)) % 15.99/16.26 (define @t69 () (= @t68 (tptp.mult tptp.b @t41))) % 15.99/16.26 (define @t70 () (not @t69)) % 15.99/16.26 (define @t71 () (tptp.ld tptp.c @t33)) % 15.99/16.26 (define @t72 () (= @t71 (tptp.rd @t40 tptp.c))) % 15.99/16.26 (define @t73 () (not @t72)) % 15.99/16.26 (define @t74 () (not @t43)) % 15.99/16.26 (define @t75 () (not @t38)) % 15.99/16.26 (define @t76 () (= @t19 @t46)) % 15.99/16.26 (define @t77 () (not @t76)) % 15.99/16.26 (define @t78 () (= tptp.c @t41)) % 15.99/16.26 (define @t79 () (not @t78)) % 15.99/16.26 (define @t80 () (= tptp.c @t35)) % 15.99/16.26 (define @t81 () (not @t80)) % 15.99/16.26 (define @t82 () (not @t28)) % 15.99/16.26 (define @t83 () (= tptp.a @t25)) % 15.99/16.26 (define @t84 () (not @t83)) % 15.99/16.26 (define @t85 () (and @t22 @t83 @t28 @t80 @t78 @t76 @t38 @t43 @t72 @t69 @t65 @t51)) % 15.99/16.26 (assume @p1 @t5) % 15.99/16.26 (assume @p2 @t7) % 15.99/16.26 (assume @p3 @t12) % 15.99/16.26 (assume @p4 @t13) % 15.99/16.26 (assume @p5 (forall @t16 (= (tptp.ld @t10 (tptp.mult @t10 (tptp.mult @t15 @t14))) (tptp.mult (tptp.ld @t1 (tptp.mult @t1 @t15)) @t14)))) % 15.99/16.26 (assume @p6 @t18) % 15.99/16.26 (assume @p7 (forall @t11 (= (tptp.ld @t1 (tptp.mult @t1 (tptp.ld @t8 @t8))) (tptp.rd (tptp.mult (tptp.rd @t1 @t1) @t8) @t8)))) % 15.99/16.26 (assume @p8 @t22) % 15.99/16.26 (step @p9 :rule eq-symm :args (@t6 @t1)) % 15.99/16.26 (step @p10 :rule cong :premises (@p9) :args (@t7)) % 15.99/16.26 (step @p11 :rule eq_resolve :premises (@p2 @p10)) % 15.99/16.26 (step @p12 :rule instantiate :premises (@p11) :args ((@list tptp.a))) % 15.99/16.26 (step @p13 :rule eq-symm :args (@t24 @t25)) % 15.99/16.26 (step @p14 :rule refl :args (@t13)) % 15.99/16.26 (step @p15 :rule cong :premises (@p14 @p13) :args ((=> @t13 @t26))) % 15.99/16.26 (assume-push @p153 @t13) % 15.99/16.26 (step @p17 :rule instantiate :premises (@p4) :args (@t27)) % 15.99/16.26 (step-pop @p154 :rule scope :premises (@p17)) % 15.99/16.26 (step @p18 :rule process_scope :premises (@p154) :args (@t26)) % 15.99/16.26 (step @p20 :rule eq_resolve :premises (@p18 @p15)) % 15.99/16.26 (step @p21 :rule implies_elim :premises (@p20)) % 15.99/16.26 (step @p22 :rule chain_m_resolution :premises (@p21 @p4) :args (@t28 @t29 @t30)) % 15.99/16.26 (step @p23 :rule eq-symm :args (@t3 @t1)) % 15.99/16.26 (step @p24 :rule cong :premises (@p23) :args (@t5)) % 15.99/16.26 (step @p25 :rule eq_resolve :premises (@p1 @p24)) % 15.99/16.26 (step @p26 :rule instantiate :premises (@p25) :args (@t31)) % 15.99/16.26 (step @p27 :rule instantiate :premises (@p11) :args (@t31)) % 15.99/16.26 (step @p28 :rule instantiate :premises (@p11) :args ((@list @t19))) % 15.99/16.26 (step @p29 :rule eq-symm :args (@t33 @t35)) % 15.99/16.26 (step @p30 :rule refl :args (@t12)) % 15.99/16.26 (step @p31 :rule cong :premises (@p30 @p29) :args ((=> @t12 @t36))) % 15.99/16.26 (assume-push @p155 @t12) % 15.99/16.26 (step @p33 :rule instantiate :premises (@p3) :args (@t37)) % 15.99/16.26 (step-pop @p156 :rule scope :premises (@p33)) % 15.99/16.26 (step @p34 :rule process_scope :premises (@p156) :args (@t36)) % 15.99/16.26 (step @p36 :rule eq_resolve :premises (@p34 @p31)) % 15.99/16.26 (step @p37 :rule implies_elim :premises (@p36)) % 15.99/16.26 (step @p38 :rule chain_m_resolution :premises (@p37 @p3) :args (@t38 @t29 (@list @t12))) % 15.99/16.26 (step @p39 :rule eq-symm :args (@t40 @t41)) % 15.99/16.26 (step @p40 :rule cong :premises (@p14 @p39) :args ((=> @t13 @t42))) % 15.99/16.26 (assume-push @p157 @t13) % 15.99/16.26 (step @p42 :rule instantiate :premises (@p4) :args (@t37)) % 15.99/16.26 (step-pop @p158 :rule scope :premises (@p42)) % 15.99/16.26 (step @p43 :rule process_scope :premises (@p158) :args (@t42)) % 15.99/16.26 (step @p45 :rule eq_resolve :premises (@p43 @p40)) % 15.99/16.26 (step @p46 :rule implies_elim :premises (@p45)) % 15.99/16.26 (step @p47 :rule chain_m_resolution :premises (@p46 @p4) :args (@t43 @t29 @t30)) % 15.99/16.26 (step @p48 :rule instantiate :premises (@p7) :args (@t37)) % 15.99/16.26 (step @p49 :rule instantiate :premises (@p6) :args ((@list tptp.b tptp.c @t34 tptp.c))) % 15.99/16.26 (step @p50 :rule instantiate :premises (@p6) :args ((@list tptp.c @t32 @t44 tptp.c))) % 15.99/16.26 (step @p51 :rule eq-symm :args (@t48 @t49)) % 15.99/16.26 (step @p52 :rule refl :args (@t18)) % 15.99/16.26 (step @p53 :rule cong :premises (@p52 @p51) :args ((=> @t18 @t50))) % 15.99/16.26 (assume-push @p159 @t18) % 15.99/16.26 (step @p55 :rule instantiate :premises (@p6) :args ((@list @t23 tptp.a @t45 @t19))) % 15.99/16.26 (step-pop @p160 :rule scope :premises (@p55)) % 15.99/16.26 (step @p56 :rule process_scope :premises (@p160) :args (@t50)) % 15.99/16.26 (step @p58 :rule eq_resolve :premises (@p56 @p53)) % 15.99/16.26 (step @p59 :rule implies_elim :premises (@p58)) % 15.99/16.26 (step @p60 :rule chain_m_resolution :premises (@p59 @p6) :args (@t51 @t29 @t52)) % 15.99/16.26 (step @p61 :rule eq-symm :args (@t56 @t49)) % 15.99/16.26 (step @p62 :rule cong :premises (@p52 @p61) :args ((=> @t18 @t57))) % 15.99/16.26 (assume-push @p161 @t18) % 15.99/16.26 (step @p64 :rule instantiate :premises (@p6) :args ((@list @t23 tptp.a @t53 @t19))) % 15.99/16.26 (step-pop @p162 :rule scope :premises (@p64)) % 15.99/16.26 (step @p65 :rule process_scope :premises (@p162) :args (@t57)) % 15.99/16.26 (step @p67 :rule eq_resolve :premises (@p65 @p62)) % 15.99/16.26 (step @p68 :rule implies_elim :premises (@p67)) % 15.99/16.26 (step @p69 :rule chain_m_resolution :premises (@p68 @p6) :args (@t58 @t29 @t52)) % 15.99/16.26 (step @p70 :rule refl :args (@t59)) % 15.99/16.26 (step @p71 :rule refl :args (@t60)) % 15.99/16.26 (step @p72 :rule refl :args (@t66)) % 15.99/16.26 (step @p73 :rule refl :args (@t70)) % 15.99/16.26 (step @p74 :rule refl :args (@t73)) % 15.99/16.26 (step @p75 :rule refl :args (@t74)) % 15.99/16.26 (step @p76 :rule refl :args (@t75)) % 15.99/16.26 (step @p77 :rule refl :args (@t77)) % 15.99/16.26 (step @p78 :rule refl :args (@t79)) % 15.99/16.26 (step @p79 :rule refl :args (@t81)) % 15.99/16.26 (step @p80 :rule refl :args (@t82)) % 15.99/16.26 (step @p81 :rule refl :args (@t84)) % 15.99/16.26 (step @p82 :rule bool-double-not-elim :args (@t21)) % 15.99/16.26 (step @p83 :rule nary_cong :premises (@p82 @p81 @p80 @p79 @p78 @p77 @p76 @p75 @p74 @p73 @p72 @p71 @p70) :args ((or (not @t22) @t84 @t82 @t81 @t79 @t77 @t75 @t74 @t73 @t70 @t66 @t60 @t59))) % 15.99/16.26 (assume-push @p163 @t22) % 15.99/16.26 (assume-push @p164 @t83) % 15.99/16.26 (assume-push @p165 @t28) % 15.99/16.26 (assume-push @p166 @t80) % 15.99/16.26 (assume-push @p167 @t78) % 15.99/16.26 (assume-push @p168 @t76) % 15.99/16.26 (assume-push @p169 @t38) % 15.99/16.26 (assume-push @p170 @t43) % 15.99/16.26 (assume-push @p171 @t72) % 15.99/16.26 (assume-push @p172 @t69) % 15.99/16.26 (assume-push @p173 @t65) % 15.99/16.26 (assume-push @p174 @t51) % 15.99/16.26 (step @p96 :rule false_intro :premises (@p8)) % 15.99/16.26 (step @p97 :rule symm :premises (@p26)) % 15.99/16.26 (step @p33 :rule instantiate :premises (@p3) :args (@t37)) % 15.99/16.26 (step @p98 :rule trans :premises (@p33 @p97)) % 15.99/16.26 (step @p99 :rule refl :args (tptp.c)) % 15.99/16.26 (step @p100 :rule cong :premises (@p99 @p98) :args (@t71)) % 15.99/16.26 (step @p101 :rule symm :premises (@p48)) % 15.99/16.26 (step @p102 :rule trans :premises (@p27 @p47)) % 15.99/16.26 (step @p103 :rule cong :premises (@p102 @p99) :args (@t39)) % 15.99/16.26 (step @p104 :rule symm :premises (@p27)) % 15.99/16.26 (step @p42 :rule instantiate :premises (@p4) :args (@t37)) % 15.99/16.26 (step @p105 :rule symm :premises (@p103)) % 15.99/16.26 (step @p106 :rule symm :premises (@p100)) % 15.99/16.26 (step @p107 :rule trans :premises (@p106 @p48 @p105)) % 15.99/16.26 (step @p108 :rule cong :premises (@p107 @p99) :args (@t61)) % 15.99/16.26 (step @p109 :rule trans :premises (@p108 @p42 @p104)) % 15.99/16.26 (step @p110 :rule cong :premises (@p109 @p99) :args (@t62)) % 15.99/16.26 (step @p111 :rule trans :premises (@p110 @p103 @p101 @p100)) % 15.99/16.26 (step @p112 :rule cong :premises (@p99 @p111) :args (@t63)) % 15.99/16.26 (step @p113 :rule refl :args (@t19)) % 15.99/16.26 (step @p114 :rule cong :premises (@p113 @p104) :args (@t67)) % 15.99/16.26 (step @p115 :rule cong :premises (@p114 @p104) :args (@t68)) % 15.99/16.26 (step @p116 :rule symm :premises (@p49)) % 15.99/16.26 (step @p117 :rule refl :args (tptp.b)) % 15.99/16.26 (step @p118 :rule cong :premises (@p117 @p27) :args (@t19)) % 15.99/16.26 (step @p119 :rule trans :premises (@p118 @p116 @p115)) % 15.99/16.26 (step @p120 :rule symm :premises (@p98)) % 15.99/16.26 (step @p121 :rule cong :premises (@p120 @p119) :args (@t53)) % 15.99/16.26 (step @p122 :rule cong :premises (@p121 @p119) :args (@t54)) % 15.99/16.26 (step @p123 :rule trans :premises (@p122 @p50 @p112 @p33 @p97)) % 15.99/16.26 (step @p124 :rule symm :premises (@p12)) % 15.99/16.26 (step @p17 :rule instantiate :premises (@p4) :args (@t27)) % 15.99/16.26 (step @p125 :rule trans :premises (@p17 @p124)) % 15.99/16.26 (step @p126 :rule cong :premises (@p125 @p123) :args (@t55)) % 15.99/16.26 (step @p127 :rule cong :premises (@p126 @p123) :args (@t56)) % 15.99/16.26 (step @p128 :rule symm :premises (@p28)) % 15.99/16.26 (step @p129 :rule cong :premises (@p125 @p128) :args (@t47)) % 15.99/16.26 (step @p130 :rule cong :premises (@p129 @p128) :args (@t48)) % 15.99/16.26 (step @p131 :rule trans :premises (@p60 @p130)) % 15.99/16.26 (step @p132 :rule cong :premises (@p131 @p127) :args (@t58)) % 15.99/16.26 (step @p133 :rule trans :premises (@p132 @p96)) % 15.99/16.26 (step @p134 :rule false_elim :premises (@p133)) % 15.99/16.26 (step-pop @p175 :rule scope :premises (@p134)) % 15.99/16.26 (step-pop @p176 :rule scope :premises (@p175)) % 15.99/16.26 (step-pop @p177 :rule scope :premises (@p176)) % 15.99/16.26 (step-pop @p178 :rule scope :premises (@p177)) % 15.99/16.26 (step-pop @p179 :rule scope :premises (@p178)) % 15.99/16.26 (step-pop @p180 :rule scope :premises (@p179)) % 15.99/16.26 (step-pop @p181 :rule scope :premises (@p180)) % 15.99/16.26 (step-pop @p182 :rule scope :premises (@p181)) % 15.99/16.26 (step-pop @p183 :rule scope :premises (@p182)) % 15.99/16.26 (step-pop @p184 :rule scope :premises (@p183)) % 15.99/16.26 (step-pop @p185 :rule scope :premises (@p184)) % 15.99/16.26 (step-pop @p186 :rule scope :premises (@p185)) % 15.99/16.26 (step @p135 :rule process_scope :premises (@p186) :args (@t59)) % 15.99/16.26 (step @p148 :rule implies_elim :premises (@p135)) % 15.99/16.26 (step @p149 :rule cnf_and_neg :args (@t85)) % 15.99/16.26 (step @p150 :rule resolution :premises (@p149 @p148) :args (true @t85)) % 15.99/16.26 (step @p151 :rule eq_resolve :premises (@p150 @p83)) % 15.99/16.26 (step @p152 false :rule chain_m_resolution :premises (@p151 @p69 @p60 @p50 @p49 @p48 @p47 @p38 @p28 @p27 @p26 @p22 @p12 @p8) :args (false (@list false false false false false false false false false false false false true) (@list @t58 @t51 @t65 @t69 @t72 @t43 @t38 @t76 @t78 @t80 @t28 @t83 @t21))) % 15.99/16.26 ) % 15.99/16.26 % SZS output end Proof % 15.99/16.26 % cvc5 exiting %------------------------------------------------------------------------------