%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ALG236-1 : 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 : n005.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 08:05:37 AM UTC 2026 % Result : Unsatisfiable 170.40s 170.63s % Output : Proof 170.40s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : ALG236-1 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n005.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 : Wed Jun 3 01:51:48 EDT 2026 % 0.17/0.36 % CPUTime : % 0.29/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.29/0.52 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.33/15.56 --- Run --no-e-matching --full-saturate-quant at 6... % 21.32/21.59 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 27.43/27.61 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 27.47/33.71 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 63.52/63.79 --- Run --trigger-sel=max --full-saturate-quant at 15... % 78.60/78.88 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 33... % 78.70/112.04 --- Run --multi-trigger-cache --full-saturate-quant at 15... % 126.82/127.12 --- Run --prenex-quant=none --full-saturate-quant at 30... % 156.92/157.18 --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 15... % 170.40/170.63 % SZS status Unsatisfiable % 170.40/170.63 % SZS output start Proof % 170.40/170.63 ( % 170.40/170.63 (declare-sort $$unsorted 0) % 170.40/170.63 (declare-const tptp.a $$unsorted) % 170.40/170.63 (declare-const tptp.d $$unsorted) % 170.40/170.63 (declare-const tptp.b $$unsorted) % 170.40/170.63 (declare-const tptp.e $$unsorted) % 170.40/170.63 (declare-const tptp.c $$unsorted) % 170.40/170.63 (declare-const tptp.mult (-> $$unsorted $$unsorted $$unsorted)) % 170.40/170.63 (define @t1 () (@var "B" $$unsorted)) % 170.40/170.63 (define @t2 () (@var "A" $$unsorted)) % 170.40/170.63 (define @t3 () (tptp.mult @t2 @t1)) % 170.40/170.63 (define @t4 () (tptp.mult @t2 (tptp.mult @t1 @t3))) % 170.40/170.63 (define @t5 () (forall (@list @t2 @t1) (= @t4 @t3))) % 170.40/170.63 (define @t6 () (@var "D" $$unsorted)) % 170.40/170.63 (define @t7 () (@var "C" $$unsorted)) % 170.40/170.63 (define @t8 () (@list @t2 @t1 @t7 @t6)) % 170.40/170.63 (define @t9 () (tptp.mult @t7 @t1)) % 170.40/170.63 (define @t10 () (forall @t8 (= (tptp.mult (tptp.mult @t2 (tptp.mult @t1 @t9)) @t6) (tptp.mult @t2 (tptp.mult @t6 (tptp.mult @t9 @t6)))))) % 170.40/170.63 (define @t11 () (tptp.mult tptp.d tptp.b)) % 170.40/170.63 (define @t12 () (tptp.mult @t11 tptp.e)) % 170.40/170.63 (define @t13 () (tptp.mult tptp.a (tptp.mult tptp.c @t12))) % 170.40/170.63 (define @t14 () (tptp.mult tptp.c (tptp.mult tptp.d tptp.e))) % 170.40/170.63 (define @t15 () (tptp.mult tptp.a tptp.b)) % 170.40/170.63 (define @t16 () (tptp.mult @t15 @t14)) % 170.40/170.63 (define @t17 () (= @t16 @t13)) % 170.40/170.63 (define @t18 () (tptp.mult @t15 tptp.e)) % 170.40/170.63 (define @t19 () (tptp.mult tptp.c @t18)) % 170.40/170.63 (define @t20 () (tptp.mult tptp.b @t15)) % 170.40/170.63 (define @t21 () (tptp.mult tptp.d @t20)) % 170.40/170.63 (define @t22 () (tptp.mult @t21 tptp.e)) % 170.40/170.63 (define @t23 () (tptp.mult tptp.e @t18)) % 170.40/170.63 (define @t24 () (tptp.mult tptp.d @t23)) % 170.40/170.63 (define @t25 () (= @t22 @t24)) % 170.40/170.63 (define @t26 () (= @t24 @t22)) % 170.40/170.63 (define @t27 () (@list false)) % 170.40/170.63 (define @t28 () (@list @t10)) % 170.40/170.63 (define @t29 () (tptp.mult tptp.d @t19)) % 170.40/170.63 (define @t30 () (tptp.mult tptp.a tptp.e)) % 170.40/170.63 (define @t31 () (tptp.mult tptp.e @t30)) % 170.40/170.63 (define @t32 () (tptp.mult tptp.a (tptp.mult tptp.b @t11))) % 170.40/170.63 (define @t33 () (tptp.mult @t32 tptp.e)) % 170.40/170.63 (define @t34 () (tptp.mult tptp.a (tptp.mult tptp.e @t12))) % 170.40/170.63 (define @t35 () (= @t33 @t34)) % 170.40/170.63 (define @t36 () (@list tptp.a tptp.b tptp.d tptp.e)) % 170.40/170.63 (define @t37 () (= @t34 @t33)) % 170.40/170.63 (define @t38 () (= @t13 (tptp.mult @t11 (tptp.mult tptp.c @t30)))) % 170.40/170.63 (define @t39 () (= @t16 @t29)) % 170.40/170.63 (define @t40 () (tptp.mult tptp.a @t20)) % 170.40/170.63 (define @t41 () (= @t15 @t40)) % 170.40/170.63 (define @t42 () (tptp.mult tptp.a (tptp.mult @t14 @t16))) % 170.40/170.63 (define @t43 () (tptp.mult @t40 @t14)) % 170.40/170.63 (define @t44 () (= @t43 @t42)) % 170.40/170.63 (define @t45 () (tptp.mult tptp.a @t23)) % 170.40/170.63 (define @t46 () (= (tptp.mult @t40 tptp.e) @t45)) % 170.40/170.63 (define @t47 () (tptp.mult tptp.e (tptp.mult tptp.a @t19))) % 170.40/170.63 (define @t48 () (= (tptp.mult tptp.c @t45) @t47)) % 170.40/170.63 (define @t49 () (tptp.mult tptp.e @t29)) % 170.40/170.63 (define @t50 () (tptp.mult tptp.a @t49)) % 170.40/170.63 (define @t51 () (= (tptp.mult tptp.d @t47) @t50)) % 170.40/170.63 (define @t52 () (tptp.mult tptp.c @t24)) % 170.40/170.63 (define @t53 () (= @t52 @t49)) % 170.40/170.63 (define @t54 () (tptp.mult tptp.a @t31)) % 170.40/170.63 (define @t55 () (= @t30 @t54)) % 170.40/170.63 (define @t56 () (tptp.mult @t14 @t29)) % 170.40/170.63 (define @t57 () (tptp.mult tptp.a @t56)) % 170.40/170.63 (define @t58 () (tptp.mult tptp.e @t57)) % 170.40/170.63 (define @t59 () (= (tptp.mult @t14 @t50) @t58)) % 170.40/170.63 (define @t60 () (tptp.mult @t11 @t31)) % 170.40/170.63 (define @t61 () (tptp.mult tptp.c @t54)) % 170.40/170.63 (define @t62 () (tptp.mult @t11 @t61)) % 170.40/170.63 (define @t63 () (= @t62 (tptp.mult tptp.a (tptp.mult tptp.c @t60)))) % 170.40/170.63 (define @t64 () (= @t21 @t32)) % 170.40/170.63 (define @t65 () (= @t60 @t34)) % 170.40/170.63 (define @t66 () (tptp.mult @t14 @t43)) % 170.40/170.63 (define @t67 () (and @t38 @t39 @t41 @t44 @t46 @t48 @t51 @t53 @t55 @t26 @t59 @t63 @t64 @t65 @t37)) % 170.40/170.63 (assume @p1 @t5) % 170.40/170.63 (assume @p2 (forall @t8 (= (tptp.mult @t2 (tptp.mult @t1 (tptp.mult @t7 @t6))) (tptp.mult @t7 (tptp.mult @t1 (tptp.mult @t2 @t6)))))) % 170.40/170.63 (assume @p3 @t10) % 170.40/170.63 (assume @p4 (not @t17)) % 170.40/170.63 (step @p5 :rule instantiate :premises (@p2) :args ((@list tptp.a tptp.c @t11 tptp.e))) % 170.40/170.63 (step @p6 :rule instantiate :premises (@p2) :args ((@list @t15 tptp.c tptp.d tptp.e))) % 170.40/170.63 (step @p7 :rule eq-symm :args (@t4 @t3)) % 170.40/170.63 (step @p8 :rule cong :premises (@p7) :args (@t5)) % 170.40/170.63 (step @p9 :rule eq_resolve :premises (@p1 @p8)) % 170.40/170.63 (step @p10 :rule instantiate :premises (@p9) :args ((@list tptp.a tptp.b))) % 170.40/170.63 (step @p11 :rule instantiate :premises (@p3) :args ((@list tptp.a tptp.b tptp.a @t14))) % 170.40/170.63 (step @p12 :rule instantiate :premises (@p3) :args ((@list tptp.a tptp.b tptp.a tptp.e))) % 170.40/170.63 (step @p13 :rule instantiate :premises (@p2) :args ((@list tptp.c tptp.a tptp.e @t18))) % 170.40/170.63 (step @p14 :rule instantiate :premises (@p2) :args ((@list tptp.d tptp.e tptp.a @t19))) % 170.40/170.63 (step @p15 :rule instantiate :premises (@p2) :args ((@list tptp.c tptp.d tptp.e @t18))) % 170.40/170.63 (step @p16 :rule instantiate :premises (@p9) :args ((@list tptp.a tptp.e))) % 170.40/170.63 (step @p17 :rule eq-symm :args (@t22 @t24)) % 170.40/170.63 (step @p18 :rule refl :args (@t10)) % 170.40/170.63 (step @p19 :rule cong :premises (@p18 @p17) :args ((=> @t10 @t25))) % 170.40/170.63 (assume-push @p115 @t10) % 170.40/170.63 (step @p21 :rule instantiate :premises (@p3) :args ((@list tptp.d tptp.b tptp.a tptp.e))) % 170.40/170.63 (step-pop @p116 :rule scope :premises (@p21)) % 170.40/170.63 (step @p22 :rule process_scope :premises (@p116) :args (@t25)) % 170.40/170.63 (step @p24 :rule eq_resolve :premises (@p22 @p19)) % 170.40/170.63 (step @p25 :rule implies_elim :premises (@p24)) % 170.40/170.63 (step @p26 :rule chain_m_resolution :premises (@p25 @p3) :args (@t26 @t27 @t28)) % 170.40/170.63 (step @p27 :rule instantiate :premises (@p2) :args ((@list @t14 tptp.a tptp.e @t29))) % 170.40/170.63 (step @p28 :rule instantiate :premises (@p2) :args ((@list @t11 tptp.c tptp.a @t31))) % 170.40/170.63 (step @p29 :rule instantiate :premises (@p2) :args ((@list tptp.d tptp.b tptp.a tptp.b))) % 170.40/170.63 (step @p30 :rule instantiate :premises (@p2) :args ((@list @t11 tptp.e tptp.a tptp.e))) % 170.40/170.63 (step @p31 :rule eq-symm :args (@t33 @t34)) % 170.40/170.63 (step @p32 :rule cong :premises (@p18 @p31) :args ((=> @t10 @t35))) % 170.40/170.63 (assume-push @p117 @t10) % 170.40/170.63 (step @p34 :rule instantiate :premises (@p3) :args (@t36)) % 170.40/170.63 (step-pop @p118 :rule scope :premises (@p34)) % 170.40/170.63 (step @p35 :rule process_scope :premises (@p118) :args (@t35)) % 170.40/170.63 (step @p37 :rule eq_resolve :premises (@p35 @p32)) % 170.40/170.63 (step @p38 :rule implies_elim :premises (@p37)) % 170.40/170.63 (step @p39 :rule chain_m_resolution :premises (@p38 @p3) :args (@t37 @t27 @t28)) % 170.40/170.63 (assume-push @p119 @t38) % 170.40/170.63 (assume-push @p120 @t39) % 170.40/170.63 (assume-push @p121 @t41) % 170.40/170.63 (assume-push @p122 @t44) % 170.40/170.63 (assume-push @p123 @t46) % 170.40/170.63 (assume-push @p124 @t48) % 170.40/170.63 (assume-push @p125 @t51) % 170.40/170.63 (assume-push @p126 @t53) % 170.40/170.63 (assume-push @p127 @t55) % 170.40/170.63 (assume-push @p128 @t26) % 170.40/170.63 (assume-push @p129 @t59) % 170.40/170.63 (assume-push @p130 @t63) % 170.40/170.63 (assume-push @p131 @t64) % 170.40/170.63 (assume-push @p132 @t65) % 170.40/170.63 (assume-push @p133 @t37) % 170.40/170.63 (step @p55 :rule symm :premises (@p5)) % 170.40/170.63 (step @p56 :rule symm :premises (@p16)) % 170.40/170.63 (step @p57 :rule refl :args (tptp.c)) % 170.40/170.63 (step @p58 :rule cong :premises (@p57 @p56) :args (@t61)) % 170.40/170.63 (step @p59 :rule refl :args (@t11)) % 170.40/170.63 (step @p60 :rule cong :premises (@p59 @p58) :args (@t62)) % 170.40/170.63 (step @p61 :rule symm :premises (@p28)) % 170.40/170.63 (step @p62 :rule symm :premises (@p30)) % 170.40/170.63 (step @p34 :rule instantiate :premises (@p3) :args (@t36)) % 170.40/170.63 (step @p63 :rule refl :args (tptp.e)) % 170.40/170.63 (step @p64 :rule cong :premises (@p29 @p63) :args (@t22)) % 170.40/170.63 (step @p65 :rule trans :premises (@p26 @p64 @p34 @p62)) % 170.40/170.63 (step @p66 :rule cong :premises (@p57 @p65) :args (@t52)) % 170.40/170.63 (step @p67 :rule symm :premises (@p15)) % 170.40/170.63 (step @p68 :rule refl :args (@t14)) % 170.40/170.63 (step @p69 :rule symm :premises (@p10)) % 170.40/170.63 (step @p70 :rule cong :premises (@p69 @p68) :args (@t43)) % 170.40/170.63 (step @p71 :rule symm :premises (@p11)) % 170.40/170.63 (step @p72 :rule cong :premises (@p68 @p70) :args (@t66)) % 170.40/170.63 (step @p73 :rule symm :premises (@p70)) % 170.40/170.63 (step @p74 :rule symm :premises (@p6)) % 170.40/170.63 (step @p75 :rule trans :premises (@p74 @p73)) % 170.40/170.63 (step @p76 :rule cong :premises (@p68 @p75) :args (@t56)) % 170.40/170.63 (step @p77 :rule trans :premises (@p76 @p72)) % 170.40/170.63 (step @p78 :rule refl :args (tptp.a)) % 170.40/170.63 (step @p79 :rule cong :premises (@p78 @p77) :args (@t57)) % 170.40/170.63 (step @p80 :rule trans :premises (@p79 @p71 @p70 @p6)) % 170.40/170.63 (step @p81 :rule cong :premises (@p63 @p80) :args (@t58)) % 170.40/170.63 (step @p82 :rule cong :premises (@p10 @p63) :args (@t18)) % 170.40/170.63 (step @p83 :rule trans :premises (@p82 @p12)) % 170.40/170.63 (step @p84 :rule cong :premises (@p57 @p83) :args (@t19)) % 170.40/170.63 (step @p85 :rule trans :premises (@p84 @p13)) % 170.40/170.63 (step @p86 :rule refl :args (tptp.d)) % 170.40/170.63 (step @p87 :rule cong :premises (@p86 @p85) :args (@t29)) % 170.40/170.63 (step @p88 :rule trans :premises (@p70 @p6 @p87 @p14)) % 170.40/170.63 (step @p89 :rule cong :premises (@p68 @p88) :args (@t66)) % 170.40/170.63 (step @p90 :rule symm :premises (@p72)) % 170.40/170.63 (step @p91 :rule trans :premises (@p90 @p89 @p27 @p81 @p67 @p66)) % 170.40/170.63 (step @p92 :rule cong :premises (@p78 @p91) :args (@t42)) % 170.40/170.63 (step @p93 :rule trans :premises (@p73 @p11 @p92 @p61 @p60 @p55)) % 170.40/170.63 (step-pop @p134 :rule scope :premises (@p93)) % 170.40/170.63 (step-pop @p135 :rule scope :premises (@p134)) % 170.40/170.63 (step-pop @p136 :rule scope :premises (@p135)) % 170.40/170.63 (step-pop @p137 :rule scope :premises (@p136)) % 170.40/170.63 (step-pop @p138 :rule scope :premises (@p137)) % 170.40/170.63 (step-pop @p139 :rule scope :premises (@p138)) % 170.40/170.63 (step-pop @p140 :rule scope :premises (@p139)) % 170.40/170.63 (step-pop @p141 :rule scope :premises (@p140)) % 170.40/170.63 (step-pop @p142 :rule scope :premises (@p141)) % 170.40/170.63 (step-pop @p143 :rule scope :premises (@p142)) % 170.40/170.63 (step-pop @p144 :rule scope :premises (@p143)) % 170.40/170.63 (step-pop @p145 :rule scope :premises (@p144)) % 170.40/170.63 (step-pop @p146 :rule scope :premises (@p145)) % 170.40/170.63 (step-pop @p147 :rule scope :premises (@p146)) % 170.40/170.63 (step-pop @p148 :rule scope :premises (@p147)) % 170.40/170.63 (step @p94 :rule process_scope :premises (@p148) :args (@t17)) % 170.40/170.63 (step @p110 :rule implies_elim :premises (@p94)) % 170.40/170.63 (step @p111 :rule cnf_and_neg :args (@t67)) % 170.40/170.63 (step @p112 :rule resolution :premises (@p111 @p110) :args (true @t67)) % 170.40/170.63 (step @p113 :rule reordering :premises (@p112) :args ((or @t17 (not @t38) (not @t39) (not @t41) (not @t44) (not @t46) (not @t48) (not @t51) (not @t53) (not @t55) (not @t26) (not @t59) (not @t63) (not @t64) (not @t65) (not @t37)))) % 170.40/170.63 (step @p114 false :rule chain_m_resolution :premises (@p113 @p39 @p30 @p29 @p28 @p27 @p26 @p16 @p15 @p14 @p13 @p12 @p11 @p10 @p6 @p5 @p4) :args (false (@list false false false false false false false false false false false false false false false true) (@list @t37 @t65 @t64 @t63 @t59 @t26 @t55 @t53 @t51 @t48 @t46 @t44 @t41 @t39 @t38 @t17))) % 170.40/170.63 ) % 170.40/170.64 % SZS output end Proof % 170.40/170.64 % cvc5 exiting %------------------------------------------------------------------------------