%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM432+1 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n028.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 08:39:23 AM UTC 2026 % Result : Theorem 0.86s 1.08s % Output : Proof 0.86s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM432+1 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n028.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 11:18:20 EDT 2026 % 0.16/0.34 % CPUTime : % 0.31/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.86/1.08 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.86/1.08 % SZS status Theorem % 0.86/1.08 % SZS output start Proof % 0.86/1.08 ( % 0.86/1.08 (declare-sort $$unsorted 0) % 0.86/1.08 (declare-const tptp.xm $$unsorted) % 0.86/1.08 (declare-const tptp.aDivisorOf0 (-> $$unsorted $$unsorted Bool)) % 0.86/1.08 (declare-const tptp.aInteger0 (-> $$unsorted Bool)) % 0.86/1.08 (declare-const tptp.sz00 $$unsorted) % 0.86/1.08 (declare-const tptp.sdteqdtlpzmzozddtrp0 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.86/1.08 (declare-const tptp.sz10 $$unsorted) % 0.86/1.08 (declare-const tptp.sdtpldt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.86/1.08 (declare-const tptp.xb $$unsorted) % 0.86/1.08 (declare-const tptp.smndt0 (-> $$unsorted $$unsorted)) % 0.86/1.08 (declare-const tptp.xn $$unsorted) % 0.86/1.08 (declare-const tptp.xc $$unsorted) % 0.86/1.08 (declare-const tptp.xq $$unsorted) % 0.86/1.08 (declare-const tptp.sdtasdt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.86/1.08 (declare-const tptp.xa $$unsorted) % 0.86/1.08 (define @t1 () (@var "W0" $$unsorted)) % 0.86/1.08 (define @t2 () (tptp.aInteger0 @t1)) % 0.86/1.08 (define @t3 () (@list @t1)) % 0.86/1.08 (define @t4 () (tptp.smndt0 @t1)) % 0.86/1.08 (define @t5 () (tptp.aInteger0 @t4)) % 0.86/1.08 (define @t6 () (forall @t3 (=> @t2 @t5))) % 0.86/1.08 (define @t7 () (@var "W1" $$unsorted)) % 0.86/1.08 (define @t8 () (tptp.sdtpldt0 @t1 @t7)) % 0.86/1.08 (define @t9 () (tptp.aInteger0 @t8)) % 0.86/1.08 (define @t10 () (tptp.aInteger0 @t7)) % 0.86/1.08 (define @t11 () (and @t2 @t10)) % 0.86/1.08 (define @t12 () (@list @t1 @t7)) % 0.86/1.08 (define @t13 () (forall @t12 (=> @t11 @t9))) % 0.86/1.08 (define @t14 () (tptp.sdtasdt0 @t1 @t7)) % 0.86/1.08 (define @t15 () (@var "W2" $$unsorted)) % 0.86/1.08 (define @t16 () (tptp.sdtpldt0 @t7 @t15)) % 0.86/1.08 (define @t17 () (tptp.aInteger0 @t15)) % 0.86/1.08 (define @t18 () (and @t2 @t10 @t17)) % 0.86/1.08 (define @t19 () (@list @t1 @t7 @t15)) % 0.86/1.08 (define @t20 () (tptp.sdtasdt0 @t7 @t15)) % 0.86/1.08 (define @t21 () (tptp.sdtasdt0 @t1 @t15)) % 0.86/1.08 (define @t22 () (tptp.smndt0 tptp.sz10)) % 0.86/1.08 (define @t23 () (= @t7 tptp.sz00)) % 0.86/1.08 (define @t24 () (and @t17 (= @t20 @t1))) % 0.86/1.08 (define @t25 () (@list @t15)) % 0.86/1.08 (define @t26 () (exists @t25 @t24)) % 0.86/1.08 (define @t27 () (not @t23)) % 0.86/1.08 (define @t28 () (and @t10 @t27 @t26)) % 0.86/1.08 (define @t29 () (tptp.aDivisorOf0 @t7 @t1)) % 0.86/1.08 (define @t30 () (= @t29 @t28)) % 0.86/1.08 (define @t31 () (@list @t7)) % 0.86/1.08 (define @t32 () (forall @t31 @t30)) % 0.86/1.08 (define @t33 () (=> @t2 @t32)) % 0.86/1.08 (define @t34 () (forall @t3 @t33)) % 0.86/1.08 (define @t35 () (tptp.sdteqdtlpzmzozddtrp0 @t1 @t7 @t15)) % 0.86/1.08 (define @t36 () (= @t35 (tptp.aDivisorOf0 @t15 (tptp.sdtpldt0 @t1 (tptp.smndt0 @t7))))) % 0.86/1.08 (define @t37 () (not (= @t15 tptp.sz00))) % 0.86/1.08 (define @t38 () (and @t2 @t10 @t17 @t37)) % 0.86/1.08 (define @t39 () (=> @t38 @t36)) % 0.86/1.08 (define @t40 () (forall @t19 @t39)) % 0.86/1.08 (define @t41 () (tptp.aInteger0 tptp.xc)) % 0.86/1.08 (define @t42 () (tptp.aInteger0 tptp.xq)) % 0.86/1.08 (define @t43 () (tptp.aInteger0 tptp.xa)) % 0.86/1.08 (define @t44 () (tptp.aInteger0 tptp.xn)) % 0.86/1.08 (define @t45 () (tptp.smndt0 tptp.xc)) % 0.86/1.08 (define @t46 () (tptp.aInteger0 tptp.xm)) % 0.86/1.08 (define @t47 () (tptp.sdtpldt0 tptp.xa @t45)) % 0.86/1.08 (define @t48 () (tptp.sdtpldt0 tptp.xn tptp.xm)) % 0.86/1.08 (define @t49 () (tptp.sdtasdt0 tptp.xq @t48)) % 0.86/1.08 (define @t50 () (= @t49 @t47)) % 0.86/1.08 (define @t51 () (tptp.sdteqdtlpzmzozddtrp0 tptp.xa tptp.xc tptp.xq)) % 0.86/1.08 (define @t52 () (@var "BOUND_VARIABLE_7687" $$unsorted)) % 0.86/1.08 (define @t53 () (not @t17)) % 0.86/1.08 (define @t54 () (= (tptp.aDivisorOf0 @t52 @t1) (and (tptp.aInteger0 @t52) (not (= tptp.sz00 @t52)) (not (forall @t25 (or @t53 (not (= @t1 (tptp.sdtasdt0 @t52 @t15))))))))) % 0.86/1.08 (define @t55 () (not @t2)) % 0.86/1.08 (define @t56 () (or @t55 @t54)) % 0.86/1.08 (define @t57 () (@list @t52)) % 0.86/1.08 (define @t58 () (forall @t57 @t56)) % 0.86/1.08 (define @t59 () (forall @t57 @t54)) % 0.86/1.08 (define @t60 () (or @t55 @t59)) % 0.86/1.08 (define @t61 () (= @t1 @t20)) % 0.86/1.08 (define @t62 () (forall @t31 (= @t29 (and @t10 (not (= tptp.sz00 @t7)) (not (forall @t25 (or @t53 (not @t61)))))))) % 0.86/1.08 (define @t63 () (and @t17 @t61)) % 0.86/1.08 (define @t64 () (forall @t25 (not @t63))) % 0.86/1.08 (define @t65 () (not @t64)) % 0.86/1.08 (define @t66 () (not @t10)) % 0.86/1.08 (define @t67 () (tptp.aInteger0 @t45)) % 0.86/1.08 (define @t68 () (not @t41)) % 0.86/1.08 (define @t69 () (or @t68 @t67)) % 0.86/1.08 (define @t70 () (@list false false)) % 0.86/1.08 (define @t71 () (tptp.aInteger0 @t47)) % 0.86/1.08 (define @t72 () (not @t67)) % 0.86/1.08 (define @t73 () (not @t43)) % 0.86/1.08 (define @t74 () (or @t73 @t72 @t71)) % 0.86/1.08 (define @t75 () (@list false false false)) % 0.86/1.08 (define @t76 () (forall @t25 (or @t53 (not (= @t47 (tptp.sdtasdt0 tptp.xq @t15)))))) % 0.86/1.08 (define @t77 () (not @t76)) % 0.86/1.08 (define @t78 () (= tptp.sz00 tptp.xq)) % 0.86/1.08 (define @t79 () (not @t78)) % 0.86/1.08 (define @t80 () (and @t42 @t79 @t77)) % 0.86/1.08 (define @t81 () (tptp.aDivisorOf0 tptp.xq @t47)) % 0.86/1.08 (define @t82 () (= @t81 @t80)) % 0.86/1.08 (define @t83 () (not @t71)) % 0.86/1.08 (define @t84 () (or @t83 @t82)) % 0.86/1.08 (define @t85 () (= tptp.sz00 @t15)) % 0.86/1.08 (define @t86 () (not @t85)) % 0.86/1.08 (define @t87 () (not @t86)) % 0.86/1.08 (define @t88 () (or @t55 @t66 @t53 @t87)) % 0.86/1.08 (define @t89 () (and @t2 @t10 @t17 @t86)) % 0.86/1.08 (define @t90 () (= @t51 @t81)) % 0.86/1.08 (define @t91 () (not @t42)) % 0.86/1.08 (define @t92 () (or @t73 @t68 @t91 @t78 @t90)) % 0.86/1.08 (define @t93 () (not @t81)) % 0.86/1.08 (define @t94 () (@list true false)) % 0.86/1.08 (define @t95 () (not @t80)) % 0.86/1.08 (define @t96 () (tptp.aInteger0 @t48)) % 0.86/1.08 (define @t97 () (not @t46)) % 0.86/1.08 (define @t98 () (not @t44)) % 0.86/1.08 (define @t99 () (or @t98 @t97 @t96)) % 0.86/1.08 (define @t100 () (not @t50)) % 0.86/1.08 (define @t101 () (not @t96)) % 0.86/1.08 (define @t102 () (or @t101 @t100)) % 0.86/1.08 (define @t103 () (not @t102)) % 0.86/1.08 (define @t104 () (not (= @t47 @t49))) % 0.86/1.08 (define @t105 () (or @t101 @t104)) % 0.86/1.08 (assume @p1 (forall @t3 (=> @t2 true))) % 0.86/1.08 (assume @p2 (tptp.aInteger0 tptp.sz00)) % 0.86/1.08 (assume @p3 (tptp.aInteger0 tptp.sz10)) % 0.86/1.08 (assume @p4 @t6) % 0.86/1.08 (assume @p5 @t13) % 0.86/1.08 (assume @p6 (forall @t12 (=> @t11 (tptp.aInteger0 @t14)))) % 0.86/1.08 (assume @p7 (forall @t19 (=> @t18 (= (tptp.sdtpldt0 @t1 @t16) (tptp.sdtpldt0 @t8 @t15))))) % 0.86/1.08 (assume @p8 (forall @t12 (=> @t11 (= @t8 (tptp.sdtpldt0 @t7 @t1))))) % 0.86/1.08 (assume @p9 (forall @t3 (=> @t2 (and (= (tptp.sdtpldt0 @t1 tptp.sz00) @t1) (= @t1 (tptp.sdtpldt0 tptp.sz00 @t1)))))) % 0.86/1.08 (assume @p10 (forall @t3 (=> @t2 (and (= (tptp.sdtpldt0 @t1 @t4) tptp.sz00) (= tptp.sz00 (tptp.sdtpldt0 @t4 @t1)))))) % 0.86/1.08 (assume @p11 (forall @t19 (=> @t18 (= (tptp.sdtasdt0 @t1 @t20) (tptp.sdtasdt0 @t14 @t15))))) % 0.86/1.08 (assume @p12 (forall @t12 (=> @t11 (= @t14 (tptp.sdtasdt0 @t7 @t1))))) % 0.86/1.08 (assume @p13 (forall @t3 (=> @t2 (and (= (tptp.sdtasdt0 @t1 tptp.sz10) @t1) (= @t1 (tptp.sdtasdt0 tptp.sz10 @t1)))))) % 0.86/1.08 (assume @p14 (forall @t19 (=> @t18 (and (= (tptp.sdtasdt0 @t1 @t16) (tptp.sdtpldt0 @t14 @t21)) (= (tptp.sdtasdt0 @t8 @t15) (tptp.sdtpldt0 @t21 @t20)))))) % 0.86/1.08 (assume @p15 (forall @t3 (=> @t2 (and (= (tptp.sdtasdt0 @t1 tptp.sz00) tptp.sz00) (= tptp.sz00 (tptp.sdtasdt0 tptp.sz00 @t1)))))) % 0.86/1.08 (assume @p16 (forall @t3 (=> @t2 (and (= (tptp.sdtasdt0 @t22 @t1) @t4) (= @t4 (tptp.sdtasdt0 @t1 @t22)))))) % 0.86/1.08 (assume @p17 (forall @t12 (=> @t11 (=> (= @t14 tptp.sz00) (or (= @t1 tptp.sz00) @t23))))) % 0.86/1.08 (assume @p18 @t34) % 0.86/1.08 (assume @p19 @t40) % 0.86/1.08 (assume @p20 (forall @t12 (=> (and @t2 @t10 @t27) (tptp.sdteqdtlpzmzozddtrp0 @t1 @t1 @t7)))) % 0.86/1.08 (assume @p21 (forall @t19 (=> @t38 (=> @t35 (tptp.sdteqdtlpzmzozddtrp0 @t7 @t1 @t15))))) % 0.86/1.08 (assume @p22 (and @t43 (tptp.aInteger0 tptp.xb) @t42 (not (= tptp.xq tptp.sz00)) @t41)) % 0.86/1.08 (assume @p23 (and (tptp.sdteqdtlpzmzozddtrp0 tptp.xa tptp.xb tptp.xq) (tptp.sdteqdtlpzmzozddtrp0 tptp.xb tptp.xc tptp.xq))) % 0.86/1.08 (assume @p24 (and @t44 (= (tptp.sdtasdt0 tptp.xq tptp.xn) (tptp.sdtpldt0 tptp.xa (tptp.smndt0 tptp.xb))))) % 0.86/1.08 (assume @p25 (and @t46 (= (tptp.sdtasdt0 tptp.xq tptp.xm) (tptp.sdtpldt0 tptp.xb @t45)))) % 0.86/1.08 (assume @p26 @t50) % 0.86/1.08 (assume @p27 (not @t51)) % 0.86/1.08 (assume @p28 true) % 0.86/1.08 (step @p29 :rule quant-merge-prenex :args ((= (forall @t3 @t58) (forall (@list @t1 @t52) @t56)))) % 0.86/1.08 (step @p30 :rule alpha_equiv :args (@t59 (@list @t52) (@list @t7))) % 0.86/1.08 (step @p31 :rule refl :args (@t55)) % 0.86/1.08 (step @p32 :rule nary_cong :premises (@p31 @p30) :args (@t60)) % 0.86/1.08 (step @p33 :rule quant-miniscope-or :args ((= @t58 @t60))) % 0.86/1.08 (step @p34 :rule trans :premises (@p33 @p32)) % 0.86/1.08 (step @p35 :rule symm :premises (@p34)) % 0.86/1.08 (step @p36 :rule cong :premises (@p35) :args ((forall @t3 (or @t55 @t62)))) % 0.86/1.08 (step @p37 :rule trans :premises (@p36 @p29)) % 0.86/1.08 (step @p38 :rule bool-impl-elim :args (@t2 @t62)) % 0.86/1.08 (step @p39 :rule cong :premises (@p38) :args ((forall @t3 (=> @t2 @t62)))) % 0.86/1.08 (step @p40 :rule trans :premises (@p39 @p37)) % 0.86/1.08 (step @p41 :rule bool-and-de-morgan :args (@t17 @t61 true)) % 0.86/1.08 (step @p42 :rule cong :premises (@p41) :args (@t64)) % 0.86/1.08 (step @p43 :rule cong :premises (@p42) :args (@t65)) % 0.86/1.08 (step @p44 :rule exists-elim :args ((= (exists @t25 @t63) @t65))) % 0.86/1.08 (step @p45 :rule trans :premises (@p44 @p43)) % 0.86/1.08 (step @p46 :rule eq-symm :args (@t20 @t1)) % 0.86/1.08 (step @p47 :rule refl :args (@t17)) % 0.86/1.08 (step @p48 :rule nary_cong :premises (@p47 @p46) :args (@t24)) % 0.86/1.08 (step @p49 :rule cong :premises (@p48) :args (@t26)) % 0.86/1.08 (step @p50 :rule trans :premises (@p49 @p45)) % 0.86/1.08 (step @p51 :rule eq-symm :args (@t7 tptp.sz00)) % 0.86/1.08 (step @p52 :rule cong :premises (@p51) :args (@t27)) % 0.86/1.08 (step @p53 :rule refl :args (@t10)) % 0.86/1.08 (step @p54 :rule nary_cong :premises (@p53 @p52 @p50) :args (@t28)) % 0.86/1.08 (step @p55 :rule refl :args (@t29)) % 0.86/1.08 (step @p56 :rule cong :premises (@p55 @p54) :args (@t30)) % 0.86/1.08 (step @p57 :rule cong :premises (@p56) :args (@t32)) % 0.86/1.08 (step @p58 :rule refl :args (@t2)) % 0.86/1.08 (step @p59 :rule cong :premises (@p58 @p57) :args (@t33)) % 0.86/1.08 (step @p60 :rule cong :premises (@p59) :args (@t34)) % 0.86/1.08 (step @p61 :rule trans :premises (@p60 @p40)) % 0.86/1.08 (step @p62 :rule eq_resolve :premises (@p18 @p61)) % 0.86/1.08 (step @p63 :rule instantiate :premises (@p62) :args ((@list @t47 tptp.xq))) % 0.86/1.08 (step @p64 :rule aci_norm :args ((= (or (or @t55 @t66) @t9) (or @t55 @t66 @t9)))) % 0.86/1.08 (step @p65 :rule refl :args (@t9)) % 0.86/1.08 (step @p66 :rule bool-and-de-morgan :args (@t2 @t10 true)) % 0.86/1.08 (step @p67 :rule nary_cong :premises (@p66 @p65) :args ((or (not @t11) @t9))) % 0.86/1.08 (step @p68 :rule trans :premises (@p67 @p64)) % 0.86/1.08 (step @p69 :rule bool-impl-elim :args (@t11 @t9)) % 0.86/1.08 (step @p70 :rule trans :premises (@p69 @p68)) % 0.86/1.08 (step @p71 :rule cong :premises (@p70) :args (@t13)) % 0.86/1.08 (step @p72 :rule eq_resolve :premises (@p5 @p71)) % 0.86/1.08 (step @p73 :rule instantiate :premises (@p72) :args ((@list tptp.xa @t45))) % 0.86/1.08 (step @p74 :rule bool-impl-elim :args (@t2 @t5)) % 0.86/1.08 (step @p75 :rule cong :premises (@p74) :args (@t6)) % 0.86/1.08 (step @p76 :rule eq_resolve :premises (@p4 @p75)) % 0.86/1.08 (step @p77 :rule instantiate :premises (@p76) :args ((@list tptp.xc))) % 0.86/1.08 (step @p78 :rule and_elim :premises (@p22) :args (4)) % 0.86/1.08 (step @p79 :rule cnf_or_pos :args (@t69)) % 0.86/1.08 (step @p80 :rule reordering :premises (@p79) :args ((or @t68 @t67 (not @t69)))) % 0.86/1.08 (step @p81 :rule chain_m_resolution :premises (@p80 @p78 @p77) :args (@t67 @t70 (@list @t41 @t69))) % 0.86/1.08 (step @p82 :rule and_elim :premises (@p22) :args (0)) % 0.86/1.08 (step @p83 :rule cnf_or_pos :args (@t74)) % 0.86/1.08 (step @p84 :rule reordering :premises (@p83) :args ((or @t73 @t72 @t71 (not @t74)))) % 0.86/1.08 (step @p85 :rule chain_m_resolution :premises (@p84 @p82 @p81 @p73) :args (@t71 @t75 (@list @t43 @t67 @t74))) % 0.86/1.08 (step @p86 :rule cnf_or_pos :args (@t84)) % 0.86/1.08 (step @p87 :rule reordering :premises (@p86) :args ((or @t83 @t82 (not @t84)))) % 0.86/1.08 (step @p88 :rule chain_m_resolution :premises (@p87 @p85 @p63) :args (@t82 @t70 (@list @t71 @t84))) % 0.86/1.08 (step @p89 :rule aci_norm :args ((= (or (or @t55 @t66 @t53 @t85) @t36) (or @t55 @t66 @t53 @t85 @t36)))) % 0.86/1.08 (step @p90 :rule refl :args (@t36)) % 0.86/1.08 (step @p91 :rule bool-double-not-elim :args (@t85)) % 0.86/1.08 (step @p92 :rule refl :args (@t53)) % 0.86/1.08 (step @p93 :rule refl :args (@t66)) % 0.86/1.08 (step @p94 :rule nary_cong :premises (@p31 @p93 @p92 @p91) :args (@t88)) % 0.86/1.08 (step @p95 :rule aci_norm :args ((= (or @t55 (or @t66 (or @t53 @t87))) @t88))) % 0.86/1.08 (step @p96 :rule trans :premises (@p95 @p94)) % 0.86/1.08 (step @p97 :rule bool-and-de-morgan :args (@t17 @t86 true)) % 0.86/1.08 (step @p98 :rule nary_cong :premises (@p93 @p97) :args ((or @t66 (not (and @t17 @t86))))) % 0.86/1.08 (step @p99 :rule bool-and-de-morgan :args (@t10 @t17 (and @t86))) % 0.86/1.08 (step @p100 :rule trans :premises (@p99 @p98)) % 0.86/1.08 (step @p101 :rule nary_cong :premises (@p31 @p100) :args ((or @t55 (not (and @t10 @t17 @t86))))) % 0.86/1.08 (step @p102 :rule bool-and-de-morgan :args (@t2 @t10 (and @t17 @t86))) % 0.86/1.08 (step @p103 :rule trans :premises (@p102 @p101)) % 0.86/1.08 (step @p104 :rule trans :premises (@p103 @p96)) % 0.86/1.08 (step @p105 :rule nary_cong :premises (@p104 @p90) :args ((or (not @t89) @t36))) % 0.86/1.08 (step @p106 :rule trans :premises (@p105 @p89)) % 0.86/1.08 (step @p107 :rule bool-impl-elim :args (@t89 @t36)) % 0.86/1.08 (step @p108 :rule trans :premises (@p107 @p106)) % 0.86/1.08 (step @p109 :rule cong :premises (@p108) :args ((forall @t19 (=> @t89 @t36)))) % 0.86/1.08 (step @p110 :rule refl :args (@t36)) % 0.86/1.08 (step @p111 :rule eq-symm :args (@t15 tptp.sz00)) % 0.86/1.08 (step @p112 :rule cong :premises (@p111) :args (@t37)) % 0.86/1.08 (step @p113 :rule nary_cong :premises (@p58 @p53 @p47 @p112) :args (@t38)) % 0.86/1.08 (step @p114 :rule cong :premises (@p113 @p110) :args (@t39)) % 0.86/1.08 (step @p115 :rule cong :premises (@p114) :args (@t40)) % 0.86/1.08 (step @p116 :rule trans :premises (@p115 @p109)) % 0.86/1.08 (step @p117 :rule eq_resolve :premises (@p19 @p116)) % 0.86/1.08 (step @p118 :rule instantiate :premises (@p117) :args ((@list tptp.xa tptp.xc tptp.xq))) % 0.86/1.09 (step @p119 :rule and_elim :premises (@p22) :args (2)) % 0.86/1.09 (step @p120 :rule and_elim :premises (@p22) :args (3)) % 0.86/1.09 (step @p121 :rule symm :premises (@p120)) % 0.86/1.09 (step @p122 :rule cnf_or_pos :args (@t92)) % 0.86/1.09 (step @p123 :rule reordering :premises (@p122) :args ((or @t78 @t73 @t91 @t68 @t90 (not @t92)))) % 0.86/1.09 (step @p124 :rule chain_m_resolution :premises (@p123 @p121 @p82 @p119 @p78 @p118) :args (@t90 (@list true false false false false) (@list @t78 @t43 @t42 @t41 @t92))) % 0.86/1.09 (step @p125 :rule cnf_equiv_pos2 :args (@t90)) % 0.86/1.09 (step @p126 :rule reordering :premises (@p125) :args ((or @t51 @t93 (not @t90)))) % 0.86/1.09 (step @p127 :rule chain_m_resolution :premises (@p126 @p27 @p124) :args (@t93 @t94 (@list @t51 @t90))) % 0.86/1.09 (step @p128 :rule cnf_equiv_pos2 :args (@t82)) % 0.86/1.09 (step @p129 :rule reordering :premises (@p128) :args ((or @t81 @t95 (not @t82)))) % 0.86/1.09 (step @p130 :rule chain_m_resolution :premises (@p129 @p127 @p88) :args (@t95 @t94 (@list @t81 @t82))) % 0.86/1.09 (step @p131 :rule bool-double-not-elim :args (@t76)) % 0.86/1.09 (step @p132 :rule bool-double-not-elim :args (@t78)) % 0.86/1.09 (step @p133 :rule refl :args (@t91)) % 0.86/1.09 (step @p134 :rule refl :args (@t80)) % 0.86/1.09 (step @p135 :rule nary_cong :premises (@p134 @p133 @p132 @p131) :args ((or @t80 @t91 (not @t79) (not @t77)))) % 0.86/1.09 (step @p136 :rule cnf_and_neg :args (@t80)) % 0.86/1.09 (step @p137 :rule eq_resolve :premises (@p136 @p135)) % 0.86/1.09 (step @p138 :rule reordering :premises (@p137) :args ((or @t78 @t91 @t76 @t80))) % 0.86/1.09 (step @p139 :rule chain_m_resolution :premises (@p138 @p121 @p119 @p130) :args (@t76 (@list true false true) (@list @t78 @t42 @t80))) % 0.86/1.09 (step @p140 :rule instantiate :premises (@p72) :args ((@list tptp.xn tptp.xm))) % 0.86/1.09 (step @p141 :rule and_elim :premises (@p25) :args (0)) % 0.86/1.09 (step @p142 :rule and_elim :premises (@p24) :args (0)) % 0.86/1.09 (step @p143 :rule cnf_or_pos :args (@t99)) % 0.86/1.09 (step @p144 :rule reordering :premises (@p143) :args ((or @t98 @t97 @t96 (not @t99)))) % 0.86/1.09 (step @p145 :rule chain_m_resolution :premises (@p144 @p142 @p141 @p140) :args (@t96 @t75 (@list @t44 @t46 @t99))) % 0.86/1.09 (step @p146 :rule cnf_or_pos :args (@t102)) % 0.86/1.09 (step @p147 :rule reordering :premises (@p146) :args ((or @t100 @t101 @t103))) % 0.86/1.09 (step @p148 :rule chain_m_resolution :premises (@p147 @p26 @p145) :args (@t103 @t70 (@list @t50 @t96))) % 0.86/1.09 (step @p149 :rule eq-symm :args (@t47 @t49)) % 0.86/1.09 (step @p150 :rule cong :premises (@p149) :args (@t104)) % 0.86/1.09 (step @p151 :rule refl :args (@t101)) % 0.86/1.09 (step @p152 :rule nary_cong :premises (@p151 @p150) :args (@t105)) % 0.86/1.09 (step @p153 :rule refl :args (@t76)) % 0.86/1.09 (step @p154 :rule cong :premises (@p153 @p152) :args ((=> @t76 @t105))) % 0.86/1.09 (assume-push @p162 @t76) % 0.86/1.09 (step @p156 :rule instantiate :premises (@p139) :args ((@list @t48))) % 0.86/1.09 (step-pop @p163 :rule scope :premises (@p156)) % 0.86/1.09 (step @p157 :rule process_scope :premises (@p163) :args (@t105)) % 0.86/1.09 (step @p159 :rule eq_resolve :premises (@p157 @p154)) % 0.86/1.09 (step @p160 :rule implies_elim :premises (@p159)) % 0.86/1.09 (step @p161 false :rule chain_m_resolution :premises (@p160 @p148 @p139) :args (false @t94 (@list @t102 @t76))) % 0.86/1.09 ) % 0.86/1.09 % SZS output end Proof % 0.86/1.09 % cvc5 exiting %------------------------------------------------------------------------------