%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP680-1 : 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 : n026.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 08:21:17 AM UTC 2026 % Result : Unsatisfiable 16.80s 17.02s % Output : Proof 16.80s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GRP680-1 : TPTP v9.2.1. Released v4.0.0. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n026.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 01:49:40 EDT 2026 % 0.16/0.34 % 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... % 0.32/16.05 --- Run --no-e-matching --full-saturate-quant at 6... % 16.80/17.02 % SZS status Unsatisfiable % 16.80/17.02 % SZS output start Proof % 16.80/17.02 ( % 16.80/17.02 (declare-sort $$unsorted 0) % 16.80/17.02 (declare-const tptp.a $$unsorted) % 16.80/17.02 (declare-const tptp.i (-> $$unsorted $$unsorted)) % 16.80/17.02 (declare-const tptp.unit $$unsorted) % 16.80/17.02 (declare-const tptp.rd (-> $$unsorted $$unsorted $$unsorted)) % 16.80/17.02 (declare-const tptp.op_c $$unsorted) % 16.80/17.02 (declare-const tptp.mult (-> $$unsorted $$unsorted $$unsorted)) % 16.80/17.02 (declare-const tptp.ld (-> $$unsorted $$unsorted $$unsorted)) % 16.80/17.02 (define @t1 () (@var "B" $$unsorted)) % 16.80/17.02 (define @t2 () (@var "A" $$unsorted)) % 16.80/17.02 (define @t3 () (tptp.mult @t2 (tptp.ld @t2 @t1))) % 16.80/17.02 (define @t4 () (@list @t2 @t1)) % 16.80/17.02 (define @t5 () (forall @t4 (= @t3 @t1))) % 16.80/17.02 (define @t6 () (tptp.mult @t2 @t1)) % 16.80/17.02 (define @t7 () (tptp.mult (tptp.rd @t2 @t1) @t1)) % 16.80/17.02 (define @t8 () (forall @t4 (= @t7 @t2))) % 16.80/17.02 (define @t9 () (tptp.rd @t6 @t1)) % 16.80/17.02 (define @t10 () (forall @t4 (= @t9 @t2))) % 16.80/17.02 (define @t11 () (tptp.mult @t2 tptp.unit)) % 16.80/17.02 (define @t12 () (@list @t2)) % 16.80/17.02 (define @t13 () (forall @t12 (= @t11 @t2))) % 16.80/17.02 (define @t14 () (tptp.mult tptp.unit @t2)) % 16.80/17.02 (define @t15 () (forall @t12 (= @t14 @t2))) % 16.80/17.02 (define @t16 () (@var "C" $$unsorted)) % 16.80/17.02 (define @t17 () (tptp.mult (tptp.i @t2) @t6)) % 16.80/17.02 (define @t18 () (forall @t4 (= @t17 @t1))) % 16.80/17.02 (define @t19 () (tptp.i tptp.op_c)) % 16.80/17.02 (define @t20 () (tptp.mult tptp.a @t19)) % 16.80/17.02 (define @t21 () (tptp.mult @t19 tptp.a)) % 16.80/17.02 (define @t22 () (= @t21 @t20)) % 16.80/17.02 (define @t23 () (@list tptp.op_c tptp.unit)) % 16.80/17.02 (define @t24 () (tptp.rd tptp.op_c tptp.unit)) % 16.80/17.02 (define @t25 () (@list tptp.a)) % 16.80/17.02 (define @t26 () (tptp.mult tptp.unit tptp.unit)) % 16.80/17.02 (define @t27 () (tptp.ld tptp.op_c @t26)) % 16.80/17.02 (define @t28 () (tptp.mult tptp.op_c tptp.a)) % 16.80/17.02 (define @t29 () (tptp.mult tptp.unit tptp.a)) % 16.80/17.02 (define @t30 () (tptp.ld tptp.op_c @t29)) % 16.80/17.02 (define @t31 () (@list @t30)) % 16.80/17.02 (define @t32 () (tptp.i @t28)) % 16.80/17.02 (define @t33 () (tptp.rd @t26 @t28)) % 16.80/17.02 (define @t34 () (tptp.mult @t24 tptp.unit)) % 16.80/17.02 (define @t35 () (= tptp.op_c @t34)) % 16.80/17.02 (define @t36 () (= tptp.unit @t26)) % 16.80/17.02 (define @t37 () (= @t24 @t34)) % 16.80/17.02 (define @t38 () (= tptp.a @t29)) % 16.80/17.02 (define @t39 () (tptp.mult tptp.a tptp.unit)) % 16.80/17.02 (define @t40 () (= tptp.a @t39)) % 16.80/17.02 (define @t41 () (tptp.mult tptp.op_c @t27)) % 16.80/17.02 (define @t42 () (= @t26 @t41)) % 16.80/17.02 (define @t43 () (tptp.mult tptp.op_c tptp.unit)) % 16.80/17.02 (define @t44 () (tptp.mult @t19 @t43)) % 16.80/17.02 (define @t45 () (= tptp.unit @t44)) % 16.80/17.02 (define @t46 () (tptp.mult tptp.a tptp.op_c)) % 16.80/17.02 (define @t47 () (= @t28 @t46)) % 16.80/17.02 (define @t48 () (= @t19 (tptp.rd (tptp.mult @t19 tptp.op_c) tptp.op_c))) % 16.80/17.02 (define @t49 () (tptp.mult @t27 tptp.op_c)) % 16.80/17.02 (define @t50 () (= @t41 @t49)) % 16.80/17.02 (define @t51 () (tptp.rd @t49 tptp.op_c)) % 16.80/17.02 (define @t52 () (= @t27 @t51)) % 16.80/17.02 (define @t53 () (tptp.mult @t28 tptp.unit)) % 16.80/17.02 (define @t54 () (= @t28 @t53)) % 16.80/17.02 (define @t55 () (tptp.mult tptp.op_c @t30)) % 16.80/17.02 (define @t56 () (= @t29 @t55)) % 16.80/17.02 (define @t57 () (tptp.mult @t30 tptp.unit)) % 16.80/17.02 (define @t58 () (= @t30 @t57)) % 16.80/17.02 (define @t59 () (tptp.mult @t30 tptp.op_c)) % 16.80/17.02 (define @t60 () (= @t55 @t59)) % 16.80/17.02 (define @t61 () (tptp.mult @t32 @t53)) % 16.80/17.02 (define @t62 () (= tptp.unit @t61)) % 16.80/17.02 (define @t63 () (tptp.mult @t32 @t28)) % 16.80/17.02 (define @t64 () (= @t32 (tptp.rd @t63 @t28))) % 16.80/17.02 (define @t65 () (tptp.mult tptp.op_c @t20)) % 16.80/17.02 (define @t66 () (= @t65 (tptp.mult @t20 tptp.op_c))) % 16.80/17.02 (define @t67 () (= @t20 (tptp.mult @t19 @t65))) % 16.80/17.02 (define @t68 () (= @t19 (tptp.mult @t32 (tptp.mult @t28 @t19)))) % 16.80/17.02 (define @t69 () (tptp.mult tptp.op_c @t59)) % 16.80/17.02 (define @t70 () (tptp.mult @t69 @t27)) % 16.80/17.02 (define @t71 () (= (tptp.mult tptp.op_c (tptp.mult @t30 @t41)) @t70)) % 16.80/17.02 (define @t72 () (tptp.mult @t33 tptp.a)) % 16.80/17.02 (define @t73 () (tptp.mult tptp.a @t72)) % 16.80/17.02 (define @t74 () (tptp.mult @t73 tptp.op_c)) % 16.80/17.02 (define @t75 () (= (tptp.mult tptp.a (tptp.mult @t33 @t46)) @t74)) % 16.80/17.02 (define @t76 () (and @t35 @t36 @t37 @t38 @t40 @t42 @t45 @t47 @t48 @t50 @t52 @t54 @t56 @t58 @t60 @t62 @t64 @t66 @t67 @t68 @t71 @t75)) % 16.80/17.02 (assume @p1 @t5) % 16.80/17.02 (assume @p2 (forall @t4 (= (tptp.ld @t2 @t6) @t1))) % 16.80/17.02 (assume @p3 @t8) % 16.80/17.02 (assume @p4 @t10) % 16.80/17.02 (assume @p5 @t13) % 16.80/17.02 (assume @p6 @t15) % 16.80/17.02 (assume @p7 (forall (@list @t2 @t1 @t16) (= (tptp.mult @t2 (tptp.mult @t1 (tptp.mult @t2 @t16))) (tptp.mult (tptp.mult @t2 (tptp.mult @t1 @t2)) @t16)))) % 16.80/17.02 (assume @p8 @t18) % 16.80/17.02 (assume @p9 (forall @t12 (= (tptp.mult tptp.op_c @t2) (tptp.mult @t2 tptp.op_c)))) % 16.80/17.02 (assume @p10 (not @t22)) % 16.80/17.02 (step @p11 :rule eq-symm :args (@t7 @t2)) % 16.80/17.02 (step @p12 :rule cong :premises (@p11) :args (@t8)) % 16.80/17.02 (step @p13 :rule eq_resolve :premises (@p3 @p12)) % 16.80/17.02 (step @p14 :rule instantiate :premises (@p13) :args (@t23)) % 16.80/17.02 (step @p15 :rule eq-symm :args (@t11 @t2)) % 16.80/17.02 (step @p16 :rule cong :premises (@p15) :args (@t13)) % 16.80/17.02 (step @p17 :rule eq_resolve :premises (@p5 @p16)) % 16.80/17.02 (step @p18 :rule instantiate :premises (@p17) :args ((@list tptp.unit))) % 16.80/17.02 (step @p19 :rule instantiate :premises (@p17) :args ((@list @t24))) % 16.80/17.02 (step @p20 :rule eq-symm :args (@t14 @t2)) % 16.80/17.02 (step @p21 :rule cong :premises (@p20) :args (@t15)) % 16.80/17.02 (step @p22 :rule eq_resolve :premises (@p6 @p21)) % 16.80/17.02 (step @p23 :rule instantiate :premises (@p22) :args (@t25)) % 16.80/17.02 (step @p24 :rule instantiate :premises (@p17) :args (@t25)) % 16.80/17.02 (step @p25 :rule eq-symm :args (@t3 @t1)) % 16.80/17.02 (step @p26 :rule cong :premises (@p25) :args (@t5)) % 16.80/17.02 (step @p27 :rule eq_resolve :premises (@p1 @p26)) % 16.80/17.02 (step @p28 :rule instantiate :premises (@p27) :args ((@list tptp.op_c @t26))) % 16.80/17.02 (step @p29 :rule eq-symm :args (@t17 @t1)) % 16.80/17.02 (step @p30 :rule cong :premises (@p29) :args (@t18)) % 16.80/17.02 (step @p31 :rule eq_resolve :premises (@p8 @p30)) % 16.80/17.02 (step @p32 :rule instantiate :premises (@p31) :args (@t23)) % 16.80/17.02 (step @p33 :rule instantiate :premises (@p9) :args (@t25)) % 16.80/17.02 (step @p34 :rule eq-symm :args (@t9 @t2)) % 16.80/17.02 (step @p35 :rule cong :premises (@p34) :args (@t10)) % 16.80/17.02 (step @p36 :rule eq_resolve :premises (@p4 @p35)) % 16.80/17.02 (step @p37 :rule instantiate :premises (@p36) :args ((@list @t19 tptp.op_c))) % 16.80/17.02 (step @p38 :rule instantiate :premises (@p9) :args ((@list @t27))) % 16.80/17.02 (step @p39 :rule instantiate :premises (@p36) :args ((@list @t27 tptp.op_c))) % 16.80/17.02 (step @p40 :rule instantiate :premises (@p17) :args ((@list @t28))) % 16.80/17.02 (step @p41 :rule instantiate :premises (@p27) :args ((@list tptp.op_c @t29))) % 16.80/17.02 (step @p42 :rule instantiate :premises (@p17) :args (@t31)) % 16.80/17.02 (step @p43 :rule instantiate :premises (@p9) :args (@t31)) % 16.80/17.02 (step @p44 :rule instantiate :premises (@p31) :args ((@list @t28 tptp.unit))) % 16.80/17.02 (step @p45 :rule instantiate :premises (@p36) :args ((@list @t32 @t28))) % 16.80/17.02 (step @p46 :rule instantiate :premises (@p9) :args ((@list @t20))) % 16.80/17.02 (step @p47 :rule instantiate :premises (@p31) :args ((@list tptp.op_c @t20))) % 16.80/17.02 (step @p48 :rule instantiate :premises (@p31) :args ((@list @t28 @t19))) % 16.80/17.02 (step @p49 :rule instantiate :premises (@p7) :args ((@list tptp.op_c @t30 @t27))) % 16.80/17.02 (step @p50 :rule instantiate :premises (@p7) :args ((@list tptp.a @t33 tptp.op_c))) % 16.80/17.02 (assume-push @p154 @t35) % 16.80/17.02 (assume-push @p155 @t36) % 16.80/17.02 (assume-push @p156 @t37) % 16.80/17.02 (assume-push @p157 @t38) % 16.80/17.02 (assume-push @p158 @t40) % 16.80/17.02 (assume-push @p159 @t42) % 16.80/17.02 (assume-push @p160 @t45) % 16.80/17.02 (assume-push @p161 @t47) % 16.80/17.02 (assume-push @p162 @t48) % 16.80/17.02 (assume-push @p163 @t50) % 16.80/17.02 (assume-push @p164 @t52) % 16.80/17.02 (assume-push @p165 @t54) % 16.80/17.02 (assume-push @p166 @t56) % 16.80/17.02 (assume-push @p167 @t58) % 16.80/17.02 (assume-push @p168 @t60) % 16.80/17.02 (assume-push @p169 @t62) % 16.80/17.02 (assume-push @p170 @t64) % 16.80/17.02 (assume-push @p171 @t66) % 16.80/17.02 (assume-push @p172 @t67) % 16.80/17.02 (assume-push @p173 @t68) % 16.80/17.02 (assume-push @p174 @t71) % 16.80/17.02 (assume-push @p175 @t75) % 16.80/17.02 (step @p73 :rule symm :premises (@p47)) % 16.80/17.02 (step @p74 :rule symm :premises (@p46)) % 16.80/17.02 (step @p75 :rule refl :args (tptp.op_c)) % 16.80/17.02 (step @p76 :rule symm :premises (@p48)) % 16.80/17.02 (step @p77 :rule symm :premises (@p37)) % 16.80/17.02 (step @p78 :rule symm :premises (@p14)) % 16.80/17.02 (step @p79 :rule refl :args (tptp.unit)) % 16.80/17.02 (step @p80 :rule symm :premises (@p19)) % 16.80/17.02 (step @p81 :rule trans :premises (@p14 @p80)) % 16.80/17.02 (step @p82 :rule cong :premises (@p81 @p79) :args (@t43)) % 16.80/17.02 (step @p83 :rule trans :premises (@p82 @p78)) % 16.80/17.02 (step @p84 :rule refl :args (@t19)) % 16.80/17.02 (step @p85 :rule cong :premises (@p84 @p83) :args (@t44)) % 16.80/17.02 (step @p86 :rule symm :premises (@p18)) % 16.80/17.02 (step @p87 :rule trans :premises (@p86 @p32 @p85)) % 16.80/17.02 (step @p88 :rule cong :premises (@p87 @p75) :args ((tptp.rd @t26 tptp.op_c))) % 16.80/17.02 (step @p89 :rule symm :premises (@p28)) % 16.80/17.02 (step @p90 :rule symm :premises (@p38)) % 16.80/17.02 (step @p91 :rule trans :premises (@p90 @p89)) % 16.80/17.02 (step @p92 :rule cong :premises (@p91 @p75) :args (@t51)) % 16.80/17.02 (step @p93 :rule trans :premises (@p39 @p92 @p88 @p77)) % 16.80/17.02 (step @p94 :rule symm :premises (@p23)) % 16.80/17.02 (step @p95 :rule symm :premises (@p41)) % 16.80/17.02 (step @p96 :rule symm :premises (@p43)) % 16.80/17.02 (step @p97 :rule trans :premises (@p96 @p95 @p94)) % 16.80/17.02 (step @p98 :rule cong :premises (@p75 @p97) :args (@t69)) % 16.80/17.02 (step @p99 :rule cong :premises (@p98 @p93) :args (@t70)) % 16.80/17.02 (step @p100 :rule trans :premises (@p18 @p28)) % 16.80/17.02 (step @p101 :rule refl :args (@t30)) % 16.80/17.02 (step @p102 :rule cong :premises (@p101 @p100) :args (@t57)) % 16.80/17.02 (step @p103 :rule trans :premises (@p42 @p102)) % 16.80/17.02 (step @p104 :rule cong :premises (@p75 @p103) :args (@t55)) % 16.80/17.02 (step @p105 :rule trans :premises (@p23 @p41 @p104 @p49 @p99)) % 16.80/17.02 (step @p106 :rule symm :premises (@p45)) % 16.80/17.02 (step @p107 :rule refl :args (@t28)) % 16.80/17.02 (step @p108 :rule symm :premises (@p40)) % 16.80/17.02 (step @p109 :rule refl :args (@t32)) % 16.80/17.02 (step @p110 :rule cong :premises (@p109 @p108) :args (@t61)) % 16.80/17.02 (step @p111 :rule trans :premises (@p86 @p44 @p110)) % 16.80/17.02 (step @p112 :rule cong :premises (@p111 @p107) :args (@t33)) % 16.80/17.02 (step @p113 :rule trans :premises (@p112 @p106)) % 16.80/17.02 (step @p114 :rule cong :premises (@p113 @p105) :args (@t72)) % 16.80/17.02 (step @p115 :rule trans :premises (@p114 @p76)) % 16.80/17.02 (step @p116 :rule refl :args (tptp.a)) % 16.80/17.02 (step @p117 :rule cong :premises (@p116 @p115) :args (@t73)) % 16.80/17.02 (step @p118 :rule cong :premises (@p117 @p75) :args (@t74)) % 16.80/17.02 (step @p119 :rule symm :premises (@p113)) % 16.80/17.02 (step @p120 :rule cong :premises (@p119 @p33) :args (@t63)) % 16.80/17.02 (step @p121 :rule trans :premises (@p44 @p110 @p120)) % 16.80/17.02 (step @p122 :rule cong :premises (@p116 @p121) :args (@t39)) % 16.80/17.02 (step @p123 :rule trans :premises (@p24 @p122 @p50 @p118 @p74)) % 16.80/17.02 (step @p124 :rule cong :premises (@p84 @p123) :args (@t21)) % 16.80/17.02 (step @p125 :rule trans :premises (@p124 @p73)) % 16.80/17.02 (step-pop @p176 :rule scope :premises (@p125)) % 16.80/17.02 (step-pop @p177 :rule scope :premises (@p176)) % 16.80/17.02 (step-pop @p178 :rule scope :premises (@p177)) % 16.80/17.02 (step-pop @p179 :rule scope :premises (@p178)) % 16.80/17.02 (step-pop @p180 :rule scope :premises (@p179)) % 16.80/17.02 (step-pop @p181 :rule scope :premises (@p180)) % 16.80/17.02 (step-pop @p182 :rule scope :premises (@p181)) % 16.80/17.02 (step-pop @p183 :rule scope :premises (@p182)) % 16.80/17.02 (step-pop @p184 :rule scope :premises (@p183)) % 16.80/17.02 (step-pop @p185 :rule scope :premises (@p184)) % 16.80/17.02 (step-pop @p186 :rule scope :premises (@p185)) % 16.80/17.02 (step-pop @p187 :rule scope :premises (@p186)) % 16.80/17.02 (step-pop @p188 :rule scope :premises (@p187)) % 16.80/17.02 (step-pop @p189 :rule scope :premises (@p188)) % 16.80/17.02 (step-pop @p190 :rule scope :premises (@p189)) % 16.80/17.02 (step-pop @p191 :rule scope :premises (@p190)) % 16.80/17.02 (step-pop @p192 :rule scope :premises (@p191)) % 16.80/17.02 (step-pop @p193 :rule scope :premises (@p192)) % 16.80/17.02 (step-pop @p194 :rule scope :premises (@p193)) % 16.80/17.02 (step-pop @p195 :rule scope :premises (@p194)) % 16.80/17.02 (step-pop @p196 :rule scope :premises (@p195)) % 16.80/17.02 (step-pop @p197 :rule scope :premises (@p196)) % 16.80/17.02 (step @p126 :rule process_scope :premises (@p197) :args (@t22)) % 16.80/17.02 (step @p149 :rule implies_elim :premises (@p126)) % 16.80/17.02 (step @p150 :rule cnf_and_neg :args (@t76)) % 16.80/17.02 (step @p151 :rule resolution :premises (@p150 @p149) :args (true @t76)) % 16.80/17.02 (step @p152 :rule reordering :premises (@p151) :args ((or @t22 (not @t35) (not @t36) (not @t37) (not @t38) (not @t40) (not @t42) (not @t45) (not @t47) (not @t48) (not @t50) (not @t52) (not @t54) (not @t56) (not @t58) (not @t60) (not @t62) (not @t64) (not @t66) (not @t67) (not @t68) (not @t71) (not @t75)))) % 16.80/17.02 (step @p153 false :rule chain_m_resolution :premises (@p152 @p50 @p49 @p48 @p47 @p46 @p45 @p44 @p43 @p42 @p41 @p40 @p39 @p38 @p37 @p33 @p32 @p28 @p24 @p23 @p19 @p18 @p14 @p10) :args (false (@list false false false false false false false false false false false false false false false false false false false false false false true) (@list @t75 @t71 @t68 @t67 @t66 @t64 @t62 @t60 @t58 @t56 @t54 @t52 @t50 @t48 @t47 @t45 @t42 @t40 @t38 @t37 @t36 @t35 @t22))) % 16.80/17.02 ) % 16.80/17.03 % SZS output end Proof % 16.80/17.03 % cvc5 exiting %------------------------------------------------------------------------------