%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : HWV004-1 : TPTP v9.2.1. Released v1.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n007.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 08:23:02 AM UTC 2026 % Result : Unsatisfiable 67.86s 68.04s % Output : Proof 67.86s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : HWV004-1 : TPTP v9.2.1. Released v1.1.0. % 0.11/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n007.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Tue Jun 2 02:16:56 EDT 2026 % 0.15/0.34 % 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... % 15.73/15.96 --- Run --no-e-matching --full-saturate-quant at 6... % 21.73/21.98 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 27.74/28.00 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 33.87/34.09 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 63.96/64.16 --- Run --trigger-sel=max --full-saturate-quant at 15... % 67.86/68.04 % SZS status Unsatisfiable % 67.86/68.04 % SZS output start Proof % 67.86/68.05 ( % 67.86/68.05 (declare-sort $$unsorted 0) % 67.86/68.05 (declare-const tptp.circuit (-> $$unsorted $$unsorted $$unsorted Bool)) % 67.86/68.05 (declare-const tptp.overflow $$unsorted) % 67.86/68.05 (declare-const tptp.n0 $$unsorted) % 67.86/68.05 (declare-const tptp.s1 $$unsorted) % 67.86/68.05 (declare-const tptp.not (-> $$unsorted $$unsorted)) % 67.86/68.05 (declare-const tptp.a1 $$unsorted) % 67.86/68.05 (declare-const tptp.xor (-> $$unsorted $$unsorted $$unsorted)) % 67.86/68.05 (declare-const tptp.b1 $$unsorted) % 67.86/68.05 (declare-const tptp.or (-> $$unsorted $$unsorted $$unsorted)) % 67.86/68.05 (declare-const tptp.carryout (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 67.86/68.05 (declare-const tptp.a0 $$unsorted) % 67.86/68.05 (declare-const tptp.and (-> $$unsorted $$unsorted $$unsorted)) % 67.86/68.05 (declare-const tptp.n1 $$unsorted) % 67.86/68.05 (declare-const tptp.sum (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 67.86/68.05 (declare-const tptp.b0 $$unsorted) % 67.86/68.05 (declare-const tptp.s0 $$unsorted) % 67.86/68.05 (define @t1 () (@var "X" $$unsorted)) % 67.86/68.05 (define @t2 () (tptp.and @t1 tptp.n0)) % 67.86/68.05 (define @t3 () (@list @t1)) % 67.86/68.05 (define @t4 () (forall @t3 (= @t2 tptp.n0))) % 67.86/68.05 (define @t5 () (tptp.and @t1 tptp.n1)) % 67.86/68.05 (define @t6 () (forall @t3 (= @t5 @t1))) % 67.86/68.05 (define @t7 () (tptp.or @t1 tptp.n0)) % 67.86/68.05 (define @t8 () (forall @t3 (= @t7 @t1))) % 67.86/68.05 (define @t9 () (tptp.not tptp.n0)) % 67.86/68.05 (define @t10 () (@var "Y" $$unsorted)) % 67.86/68.05 (define @t11 () (tptp.not @t10)) % 67.86/68.05 (define @t12 () (tptp.not @t1)) % 67.86/68.05 (define @t13 () (tptp.and @t1 @t10)) % 67.86/68.05 (define @t14 () (@list @t1 @t10)) % 67.86/68.05 (define @t15 () (tptp.and @t12 @t11)) % 67.86/68.05 (define @t16 () (tptp.or @t1 @t10)) % 67.86/68.05 (define @t17 () (tptp.not @t12)) % 67.86/68.05 (define @t18 () (forall @t3 (= @t17 @t1))) % 67.86/68.05 (define @t19 () (@var "Z" $$unsorted)) % 67.86/68.05 (define @t20 () (tptp.and @t10 @t19)) % 67.86/68.05 (define @t21 () (tptp.and @t1 @t19)) % 67.86/68.05 (define @t22 () (@list @t1 @t10 @t19)) % 67.86/68.05 (define @t23 () (tptp.or @t1 @t19)) % 67.86/68.05 (define @t24 () (@var "X1" $$unsorted)) % 67.86/68.05 (define @t25 () (@var "X3" $$unsorted)) % 67.86/68.05 (define @t26 () (@var "X2" $$unsorted)) % 67.86/68.05 (define @t27 () (tptp.and (tptp.and @t24 @t26) @t25)) % 67.86/68.05 (define @t28 () (@list @t24 @t26 @t25)) % 67.86/68.05 (define @t29 () (tptp.and @t1 @t11)) % 67.86/68.05 (define @t30 () (tptp.xor @t1 @t10)) % 67.86/68.05 (define @t31 () (tptp.sum tptp.a0 tptp.b0 tptp.n0)) % 67.86/68.05 (define @t32 () (tptp.carryout tptp.a0 tptp.b0 tptp.n0)) % 67.86/68.05 (define @t33 () (tptp.sum tptp.a1 tptp.b1 @t32)) % 67.86/68.05 (define @t34 () (tptp.carryout tptp.a1 tptp.b1 @t32)) % 67.86/68.05 (define @t35 () (tptp.circuit tptp.s0 tptp.s1 tptp.overflow)) % 67.86/68.05 (define @t36 () (tptp.or tptp.a1 tptp.b1)) % 67.86/68.05 (define @t37 () (tptp.and tptp.a0 tptp.b0)) % 67.86/68.05 (define @t38 () (tptp.and tptp.a1 tptp.b1)) % 67.86/68.05 (define @t39 () (tptp.xor tptp.a0 tptp.b0)) % 67.86/68.05 (define @t40 () (tptp.not tptp.b1)) % 67.86/68.05 (define @t41 () (tptp.not @t40)) % 67.86/68.05 (define @t42 () (tptp.not tptp.a1)) % 67.86/68.05 (define @t43 () (tptp.and tptp.b1 @t42)) % 67.86/68.05 (define @t44 () (tptp.or tptp.a1 @t43)) % 67.86/68.05 (define @t45 () (@list tptp.b0)) % 67.86/68.05 (define @t46 () (tptp.or tptp.b0 tptp.n0)) % 67.86/68.05 (define @t47 () (tptp.and tptp.a0 @t46)) % 67.86/68.05 (define @t48 () (tptp.not tptp.a0)) % 67.86/68.05 (define @t49 () (tptp.and tptp.b0 tptp.n0)) % 67.86/68.05 (define @t50 () (tptp.and @t48 @t49)) % 67.86/68.05 (define @t51 () (@list tptp.a0 tptp.b0 tptp.n0)) % 67.86/68.05 (define @t52 () (@list tptp.b1 @t32)) % 67.86/68.05 (define @t53 () (tptp.and tptp.b1 @t32)) % 67.86/68.05 (define @t54 () (tptp.and tptp.a1 @t37)) % 67.86/68.05 (define @t55 () (tptp.and @t42 @t53)) % 67.86/68.05 (define @t56 () (tptp.or @t54 @t55)) % 67.86/68.05 (define @t57 () (tptp.and @t42 (tptp.and @t32 tptp.b1))) % 67.86/68.05 (define @t58 () (tptp.and @t32 tptp.a1)) % 67.86/68.05 (define @t59 () (tptp.and tptp.b1 tptp.a1)) % 67.86/68.05 (define @t60 () (tptp.or tptp.b1 @t32)) % 67.86/68.05 (define @t61 () (tptp.and tptp.a1 (tptp.or @t32 tptp.b1))) % 67.86/68.05 (define @t62 () (@list tptp.a1 tptp.b1 @t32)) % 67.86/68.05 (define @t63 () (tptp.and tptp.b0 @t48)) % 67.86/68.05 (define @t64 () (tptp.and tptp.a0 (tptp.not tptp.b0))) % 67.86/68.05 (define @t65 () (tptp.and tptp.n0 @t48)) % 67.86/68.05 (define @t66 () (tptp.not @t39)) % 67.86/68.05 (define @t67 () (tptp.or @t63 @t64)) % 67.86/68.05 (define @t68 () (tptp.and tptp.n0 @t66)) % 67.86/68.05 (define @t69 () (= @t1 @t5)) % 67.86/68.05 (assume @p1 @t4) % 67.86/68.05 (assume @p2 @t6) % 67.86/68.05 (assume @p3 @t8) % 67.86/68.05 (assume @p4 (forall @t3 (= (tptp.or @t1 tptp.n1) tptp.n1))) % 67.86/68.05 (assume @p5 (= @t9 tptp.n1)) % 67.86/68.05 (assume @p6 (= (tptp.not tptp.n1) tptp.n0)) % 67.86/68.05 (assume @p7 (forall @t14 (= (tptp.not @t13) (tptp.or @t12 @t11)))) % 67.86/68.05 (assume @p8 (forall @t14 (= (tptp.not @t16) @t15))) % 67.86/68.05 (assume @p9 @t18) % 67.86/68.05 (assume @p10 (forall @t14 (= @t13 (tptp.and @t10 @t1)))) % 67.86/68.05 (assume @p11 (forall @t14 (= @t16 (tptp.or @t10 @t1)))) % 67.86/68.05 (assume @p12 (forall @t22 (= (tptp.and @t16 @t19) (tptp.or @t21 @t20)))) % 67.86/68.05 (assume @p13 (forall @t22 (= (tptp.and @t13 @t19) (tptp.and @t21 @t10)))) % 67.86/68.05 (assume @p14 (forall @t22 (= (tptp.or @t16 @t19) (tptp.or @t23 @t10)))) % 67.86/68.05 (assume @p15 (forall @t3 (= (tptp.and @t1 @t12) tptp.n0))) % 67.86/68.05 (assume @p16 (forall @t3 (= (tptp.or @t1 @t12) tptp.n1))) % 67.86/68.05 (assume @p17 (forall @t3 (= (tptp.and @t1 @t1) @t1))) % 67.86/68.05 (assume @p18 (forall @t3 (= (tptp.or @t1 @t1) @t1))) % 67.86/68.05 (assume @p19 (forall @t14 (= (tptp.and @t13 @t11) tptp.n0))) % 67.86/68.05 (assume @p20 (forall @t14 (= (tptp.and @t13 @t12) tptp.n0))) % 67.86/68.05 (assume @p21 (forall @t14 (= (tptp.or @t16 @t11) tptp.n1))) % 67.86/68.05 (assume @p22 (forall @t14 (= (tptp.or @t16 @t12) tptp.n1))) % 67.86/68.05 (assume @p23 (forall @t14 (= (tptp.and @t13 @t10) @t13))) % 67.86/68.05 (assume @p24 (forall @t14 (= (tptp.or @t16 @t10) @t16))) % 67.86/68.05 (assume @p25 (forall @t28 (= (tptp.and @t27 (tptp.not @t24)) tptp.n0))) % 67.86/68.05 (assume @p26 (forall @t28 (= (tptp.and @t27 (tptp.not @t26)) tptp.n0))) % 67.86/68.05 (assume @p27 (forall @t14 (= (tptp.or @t13 @t10) @t10))) % 67.86/68.05 (assume @p28 (forall @t14 (= (tptp.or @t13 @t1) @t1))) % 67.86/68.05 (assume @p29 (forall @t22 (= (tptp.or (tptp.or @t13 @t19) @t10) (tptp.or @t19 @t10)))) % 67.86/68.05 (assume @p30 (forall @t22 (= (tptp.or (tptp.or @t1 @t20) @t19) @t23))) % 67.86/68.05 (assume @p31 (forall @t14 (= (tptp.or @t29 @t10) @t16))) % 67.86/68.05 (assume @p32 (forall @t14 (= (tptp.or @t15 @t10) (tptp.or @t10 @t12)))) % 67.86/68.05 (assume @p33 (forall @t22 (= (tptp.or (tptp.and @t13 (tptp.not @t19)) @t21) (tptp.or @t13 @t21)))) % 67.86/68.05 (assume @p34 (forall @t14 (= @t30 (tptp.or @t29 (tptp.and @t10 @t12))))) % 67.86/68.05 (assume @p35 (forall @t22 (= (tptp.carryout @t1 @t10 @t19) (tptp.or (tptp.and @t1 (tptp.or @t10 @t19)) (tptp.and @t12 @t20))))) % 67.86/68.05 (assume @p36 (forall @t22 (= (tptp.sum @t1 @t10 @t19) (tptp.xor @t30 @t19)))) % 67.86/68.05 (assume @p37 (= tptp.s0 @t31)) % 67.86/68.05 (assume @p38 (= tptp.s1 @t33)) % 67.86/68.05 (assume @p39 (= tptp.overflow @t34)) % 67.86/68.05 (assume @p40 @t35) % 67.86/68.05 (assume @p41 (not (tptp.circuit @t39 (tptp.xor (tptp.xor tptp.a1 tptp.b1) @t32) (tptp.or @t38 (tptp.and @t37 @t36))))) % 67.86/68.05 (step @p42 :rule evaluate :args ((= true false))) % 67.86/68.05 (step @p43 :rule false_intro :premises (@p41)) % 67.86/68.05 (step @p44 :rule instantiate :premises (@p10) :args ((@list @t37 @t36))) % 67.86/68.05 (step @p45 :rule symm :premises (@p44)) % 67.86/68.05 (step @p46 :rule refl :args (@t37)) % 67.86/68.05 (step @p47 :rule eq-symm :args (@t17 @t1)) % 67.86/68.05 (step @p48 :rule cong :premises (@p47) :args (@t18)) % 67.86/68.05 (step @p49 :rule eq_resolve :premises (@p9 @p48)) % 67.86/68.05 (step @p50 :rule instantiate :premises (@p49) :args ((@list tptp.b1))) % 67.86/68.05 (step @p51 :rule symm :premises (@p50)) % 67.86/68.05 (step @p52 :rule refl :args (tptp.a1)) % 67.86/68.05 (step @p53 :rule cong :premises (@p52 @p51) :args ((tptp.or tptp.a1 @t41))) % 67.86/68.05 (step @p54 :rule instantiate :premises (@p32) :args ((@list @t40 tptp.a1))) % 67.86/68.05 (step @p55 :rule instantiate :premises (@p11) :args ((@list (tptp.and @t41 @t42) tptp.a1))) % 67.86/68.05 (step @p56 :rule symm :premises (@p55)) % 67.86/68.05 (step @p57 :rule refl :args (@t42)) % 67.86/68.05 (step @p58 :rule cong :premises (@p50 @p57) :args (@t43)) % 67.86/68.05 (step @p59 :rule cong :premises (@p52 @p58) :args (@t44)) % 67.86/68.05 (step @p60 :rule trans :premises (@p59 @p56 @p54 @p53)) % 67.86/68.05 (step @p61 :rule cong :premises (@p60 @p46) :args ((tptp.and @t44 @t37))) % 67.86/68.05 (step @p62 :rule instantiate :premises (@p12) :args ((@list tptp.a1 @t43 @t37))) % 67.86/68.05 (step @p63 :rule symm :premises (@p62)) % 67.86/68.05 (step @p64 :rule eq-symm :args (@t7 @t1)) % 67.86/68.05 (step @p65 :rule cong :premises (@p64) :args (@t8)) % 67.86/68.05 (step @p66 :rule eq_resolve :premises (@p3 @p65)) % 67.86/68.05 (step @p67 :rule instantiate :premises (@p66) :args (@t45)) % 67.86/68.05 (step @p68 :rule symm :premises (@p67)) % 67.86/68.05 (step @p69 :rule refl :args (tptp.a0)) % 67.86/68.05 (step @p70 :rule cong :premises (@p69 @p68) :args (@t47)) % 67.86/68.05 (step @p71 :rule instantiate :premises (@p66) :args ((@list @t47))) % 67.86/68.05 (step @p72 :rule symm :premises (@p71)) % 67.86/68.05 (step @p73 :rule eq-symm :args (@t2 tptp.n0)) % 67.86/68.05 (step @p74 :rule cong :premises (@p73) :args (@t4)) % 67.86/68.05 (step @p75 :rule eq_resolve :premises (@p1 @p74)) % 67.86/68.05 (step @p76 :rule instantiate :premises (@p75) :args ((@list @t48))) % 67.86/68.05 (step @p77 :rule symm :premises (@p76)) % 67.86/68.05 (step @p78 :rule instantiate :premises (@p75) :args (@t45)) % 67.86/68.05 (step @p79 :rule symm :premises (@p78)) % 67.86/68.05 (step @p80 :rule refl :args (@t48)) % 67.86/68.05 (step @p81 :rule cong :premises (@p80 @p79) :args (@t50)) % 67.86/68.05 (step @p82 :rule trans :premises (@p81 @p77)) % 67.86/68.05 (step @p83 :rule refl :args (@t47)) % 67.86/68.05 (step @p84 :rule cong :premises (@p83 @p82) :args ((tptp.or @t47 @t50))) % 67.86/68.05 (step @p85 :rule instantiate :premises (@p35) :args (@t51)) % 67.86/68.05 (step @p86 :rule trans :premises (@p85 @p84 @p72 @p70)) % 67.86/68.05 (step @p87 :rule instantiate :premises (@p10) :args ((@list tptp.b1 @t42))) % 67.86/68.05 (step @p88 :rule symm :premises (@p87)) % 67.86/68.05 (step @p89 :rule cong :premises (@p88 @p86) :args ((tptp.and (tptp.and @t42 tptp.b1) @t32))) % 67.86/68.05 (step @p90 :rule instantiate :premises (@p13) :args ((@list @t42 @t32 tptp.b1))) % 67.86/68.05 (step @p91 :rule refl :args (tptp.b1)) % 67.86/68.05 (step @p92 :rule instantiate :premises (@p10) :args ((@list @t32 @t42))) % 67.86/68.05 (step @p93 :rule cong :premises (@p92 @p91) :args ((tptp.and (tptp.and @t32 @t42) tptp.b1))) % 67.86/68.05 (step @p94 :rule instantiate :premises (@p13) :args ((@list @t32 tptp.b1 @t42))) % 67.86/68.05 (step @p95 :rule instantiate :premises (@p10) :args (@t52)) % 67.86/68.05 (step @p96 :rule cong :premises (@p95 @p57) :args ((tptp.and @t53 @t42))) % 67.86/68.05 (step @p97 :rule instantiate :premises (@p10) :args ((@list @t42 @t53))) % 67.86/68.05 (step @p98 :rule trans :premises (@p97 @p96 @p94 @p93 @p90 @p89)) % 67.86/68.05 (step @p99 :rule refl :args (@t54)) % 67.86/68.05 (step @p100 :rule cong :premises (@p99 @p98) :args (@t56)) % 67.86/68.05 (step @p101 :rule trans :premises (@p100 @p63 @p61 @p45)) % 67.86/68.05 (step @p102 :rule refl :args (@t38)) % 67.86/68.05 (step @p103 :rule cong :premises (@p102 @p101) :args ((tptp.or @t38 @t56))) % 67.86/68.05 (step @p104 :rule instantiate :premises (@p11) :args ((@list @t56 @t38))) % 67.86/68.05 (step @p105 :rule instantiate :premises (@p14) :args ((@list @t54 @t38 @t55))) % 67.86/68.05 (step @p106 :rule symm :premises (@p95)) % 67.86/68.05 (step @p107 :rule cong :premises (@p57 @p106) :args (@t57)) % 67.86/68.05 (step @p108 :rule instantiate :premises (@p10) :args ((@list tptp.a1 tptp.b1))) % 67.86/68.05 (step @p109 :rule symm :premises (@p108)) % 67.86/68.05 (step @p110 :rule instantiate :premises (@p10) :args ((@list tptp.a1 @t37))) % 67.86/68.05 (step @p111 :rule symm :premises (@p110)) % 67.86/68.05 (step @p112 :rule cong :premises (@p86 @p52) :args (@t58)) % 67.86/68.05 (step @p113 :rule trans :premises (@p112 @p111)) % 67.86/68.05 (step @p114 :rule cong :premises (@p113 @p109) :args ((tptp.or @t58 @t59))) % 67.86/68.05 (step @p115 :rule instantiate :premises (@p11) :args ((@list @t59 @t58))) % 67.86/68.05 (step @p116 :rule instantiate :premises (@p12) :args ((@list tptp.b1 @t32 tptp.a1))) % 67.86/68.05 (step @p117 :rule instantiate :premises (@p10) :args ((@list tptp.a1 @t60))) % 67.86/68.05 (step @p118 :rule trans :premises (@p117 @p116 @p115 @p114)) % 67.86/68.05 (step @p119 :rule instantiate :premises (@p11) :args (@t52)) % 67.86/68.05 (step @p120 :rule symm :premises (@p119)) % 67.86/68.05 (step @p121 :rule cong :premises (@p52 @p120) :args (@t61)) % 67.86/68.05 (step @p122 :rule trans :premises (@p121 @p118)) % 67.86/68.05 (step @p123 :rule cong :premises (@p122 @p107) :args ((tptp.or @t61 @t57))) % 67.86/68.05 (step @p124 :rule symm :premises (@p107)) % 67.86/68.05 (step @p125 :rule symm :premises (@p121)) % 67.86/68.05 (step @p126 :rule cong :premises (@p125 @p124) :args ((tptp.or (tptp.and tptp.a1 @t60) @t55))) % 67.86/68.05 (step @p127 :rule instantiate :premises (@p35) :args (@t62)) % 67.86/68.05 (step @p128 :rule trans :premises (@p127 @p126 @p123 @p105 @p104 @p103)) % 67.86/68.05 (step @p129 :rule instantiate :premises (@p36) :args (@t62)) % 67.86/68.05 (step @p130 :rule instantiate :premises (@p34) :args ((@list tptp.a0 tptp.b0))) % 67.86/68.05 (step @p131 :rule symm :premises (@p130)) % 67.86/68.05 (step @p132 :rule instantiate :premises (@p11) :args ((@list @t64 @t63))) % 67.86/68.05 (step @p133 :rule symm :premises (@p132)) % 67.86/68.05 (step @p134 :rule refl :args (@t64)) % 67.86/68.05 (step @p135 :rule cong :premises (@p68 @p80) :args ((tptp.and @t46 @t48))) % 67.86/68.05 (step @p136 :rule instantiate :premises (@p12) :args ((@list tptp.b0 tptp.n0 @t48))) % 67.86/68.05 (step @p137 :rule symm :premises (@p136)) % 67.86/68.05 (step @p138 :rule trans :premises (@p137 @p135)) % 67.86/68.05 (step @p139 :rule cong :premises (@p138 @p134) :args ((tptp.or (tptp.or @t63 @t65) @t64))) % 67.86/68.05 (step @p140 :rule instantiate :premises (@p14) :args ((@list @t63 @t65 @t64))) % 67.86/68.05 (step @p141 :rule symm :premises (@p140)) % 67.86/68.05 (step @p142 :rule cong :premises (@p79 @p80) :args ((tptp.and @t49 @t48))) % 67.86/68.05 (step @p143 :rule instantiate :premises (@p10) :args ((@list @t48 @t49))) % 67.86/68.05 (step @p144 :rule symm :premises (@p81)) % 67.86/68.05 (step @p145 :rule instantiate :premises (@p75) :args ((@list @t66))) % 67.86/68.05 (step @p146 :rule symm :premises (@p145)) % 67.86/68.05 (step @p147 :rule instantiate :premises (@p10) :args ((@list tptp.n0 @t66))) % 67.86/68.05 (step @p148 :rule trans :premises (@p147 @p146 @p76 @p144 @p143 @p142)) % 67.86/68.05 (step @p149 :rule refl :args (@t67)) % 67.86/68.05 (step @p150 :rule cong :premises (@p149 @p148) :args ((tptp.or @t67 @t68))) % 67.86/68.05 (step @p151 :rule refl :args (@t68)) % 67.86/68.05 (step @p152 :rule symm :premises (@p5)) % 67.86/68.05 (step @p153 :rule refl :args (@t1)) % 67.86/68.05 (step @p154 :rule cong :premises (@p153 @p152) :args (@t5)) % 67.86/68.05 (step @p155 :rule cong :premises (@p153 @p154) :args (@t69)) % 67.86/68.05 (step @p156 :rule cong :premises (@p155) :args ((forall @t3 @t69))) % 67.86/68.05 (step @p157 :rule eq-symm :args (@t5 @t1)) % 67.86/68.05 (step @p158 :rule cong :premises (@p157) :args (@t6)) % 67.86/68.05 (step @p159 :rule trans :premises (@p158 @p156)) % 67.86/68.05 (step @p160 :rule eq_resolve :premises (@p2 @p159)) % 67.86/68.05 (step @p161 :rule instantiate :premises (@p160) :args ((@list @t39))) % 67.86/68.05 (step @p162 :rule symm :premises (@p161)) % 67.86/68.05 (step @p163 :rule trans :premises (@p162 @p130 @p132)) % 67.86/68.05 (step @p164 :rule cong :premises (@p163 @p151) :args ((tptp.or (tptp.and @t39 @t9) @t68))) % 67.86/68.05 (step @p165 :rule instantiate :premises (@p34) :args ((@list @t39 tptp.n0))) % 67.86/68.05 (step @p166 :rule instantiate :premises (@p36) :args (@t51)) % 67.86/68.05 (step @p167 :rule trans :premises (@p166 @p165 @p164 @p150 @p141 @p139 @p133 @p131)) % 67.86/68.05 (step @p168 :rule cong :premises (@p167 @p129 @p128) :args ((tptp.circuit @t31 @t33 @t34))) % 67.86/68.05 (step @p169 :rule cong :premises (@p37 @p38 @p39) :args (@t35)) % 67.86/68.05 (step @p170 :rule eq_resolve :premises (@p40 @p169)) % 67.86/68.05 (step @p171 :rule true_intro :premises (@p170)) % 67.86/68.05 (step @p172 :rule symm :premises (@p171)) % 67.86/68.05 (step @p173 :rule trans :premises (@p172 @p168 @p43)) % 67.86/68.05 (step @p174 false :rule eq_resolve :premises (@p173 @p42)) % 67.86/68.05 ) % 67.86/68.05 % SZS output end Proof % 67.86/68.05 % cvc5 exiting %------------------------------------------------------------------------------