%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM550+3 : 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 : n003.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 08:39:48 AM UTC 2026 % Result : Theorem 0.38s 0.65s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM550+3 : 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 % 0.17/0.35 % Computer : n003.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 11:28:44 EDT 2026 % 0.17/0.35 % CPUTime : % 0.28/0.52 %----Proving TF0_NAR, FOF, or CNF % 0.38/0.65 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.38/0.65 % SZS status Theorem % 0.38/0.65 % SZS output start Proof % 0.38/0.65 ( % 0.38/0.65 (declare-sort $$unsorted 0) % 0.38/0.65 (declare-const tptp.xQ $$unsorted) % 0.38/0.65 (declare-const tptp.xx $$unsorted) % 0.38/0.65 (declare-const tptp.xT $$unsorted) % 0.38/0.65 (declare-const tptp.slbdtsldtrb0 (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.65 (declare-const tptp.slbdtrb0 (-> $$unsorted $$unsorted)) % 0.38/0.65 (declare-const tptp.szmzazxdt0 (-> $$unsorted $$unsorted)) % 0.38/0.65 (declare-const tptp.szmzizndt0 (-> $$unsorted $$unsorted)) % 0.38/0.65 (declare-const tptp.sbrdtbr0 (-> $$unsorted $$unsorted)) % 0.38/0.65 (declare-const tptp.iLess0 (-> $$unsorted $$unsorted Bool)) % 0.38/0.65 (declare-const tptp.aSet0 (-> $$unsorted Bool)) % 0.38/0.65 (declare-const tptp.aElement0 (-> $$unsorted Bool)) % 0.38/0.65 (declare-const tptp.xS $$unsorted) % 0.38/0.65 (declare-const tptp.isFinite0 (-> $$unsorted Bool)) % 0.38/0.65 (declare-const tptp.isCountable0 (-> $$unsorted Bool)) % 0.38/0.65 (declare-const tptp.slcrc0 $$unsorted) % 0.38/0.65 (declare-const tptp.sdtpldt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.65 (declare-const tptp.aSubsetOf0 (-> $$unsorted $$unsorted Bool)) % 0.38/0.65 (declare-const tptp.sdtlseqdt0 (-> $$unsorted $$unsorted Bool)) % 0.38/0.65 (declare-const tptp.xk $$unsorted) % 0.38/0.65 (declare-const tptp.szszuzczcdt0 (-> $$unsorted $$unsorted)) % 0.38/0.65 (declare-const tptp.sdtmndt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.65 (declare-const tptp.aElementOf0 (-> $$unsorted $$unsorted Bool)) % 0.38/0.65 (declare-const tptp.szNzAzT0 $$unsorted) % 0.38/0.65 (declare-const tptp.sz00 $$unsorted) % 0.38/0.65 (define @t1 () (@var "W0" $$unsorted)) % 0.38/0.65 (define @t2 () (tptp.aSet0 @t1)) % 0.38/0.65 (define @t3 () (@list @t1)) % 0.38/0.65 (define @t4 () (tptp.aElement0 @t1)) % 0.38/0.65 (define @t5 () (@var "W1" $$unsorted)) % 0.38/0.65 (define @t6 () (tptp.aElement0 @t5)) % 0.38/0.65 (define @t7 () (tptp.aElementOf0 @t5 @t1)) % 0.38/0.65 (define @t8 () (@list @t5)) % 0.38/0.65 (define @t9 () (tptp.isFinite0 @t1)) % 0.38/0.65 (define @t10 () (= @t1 tptp.slcrc0)) % 0.38/0.65 (define @t11 () (tptp.isCountable0 @t1)) % 0.38/0.65 (define @t12 () (not @t9)) % 0.38/0.65 (define @t13 () (and @t2 @t11)) % 0.38/0.65 (define @t14 () (not @t10)) % 0.38/0.65 (define @t15 () (@var "W2" $$unsorted)) % 0.38/0.65 (define @t16 () (tptp.aElementOf0 @t15 @t1)) % 0.38/0.65 (define @t17 () (tptp.aElementOf0 @t15 @t5)) % 0.38/0.65 (define @t18 () (@list @t15)) % 0.38/0.65 (define @t19 () (tptp.aSet0 @t5)) % 0.38/0.65 (define @t20 () (tptp.aSubsetOf0 @t5 @t1)) % 0.38/0.65 (define @t21 () (tptp.isFinite0 @t5)) % 0.38/0.65 (define @t22 () (and @t2 @t9)) % 0.38/0.65 (define @t23 () (= @t1 @t5)) % 0.38/0.65 (define @t24 () (tptp.aSubsetOf0 @t1 @t5)) % 0.38/0.65 (define @t25 () (@list @t1 @t5)) % 0.38/0.65 (define @t26 () (tptp.aSet0 @t15)) % 0.38/0.65 (define @t27 () (@list @t1 @t5 @t15)) % 0.38/0.65 (define @t28 () (@var "W3" $$unsorted)) % 0.38/0.65 (define @t29 () (= @t28 @t5)) % 0.38/0.65 (define @t30 () (tptp.aElementOf0 @t28 @t1)) % 0.38/0.65 (define @t31 () (tptp.aElement0 @t28)) % 0.38/0.65 (define @t32 () (tptp.aElementOf0 @t28 @t15)) % 0.38/0.65 (define @t33 () (@list @t28)) % 0.38/0.65 (define @t34 () (tptp.sdtpldt0 @t1 @t5)) % 0.38/0.65 (define @t35 () (and @t2 @t6)) % 0.38/0.65 (define @t36 () (tptp.sdtmndt0 @t1 @t5)) % 0.38/0.65 (define @t37 () (tptp.sdtpldt0 @t5 @t1)) % 0.38/0.65 (define @t38 () (and @t19 (tptp.isCountable0 @t5))) % 0.38/0.65 (define @t39 () (tptp.sdtmndt0 @t5 @t1)) % 0.38/0.65 (define @t40 () (and @t19 @t21)) % 0.38/0.65 (define @t41 () (tptp.szszuzczcdt0 @t1)) % 0.38/0.65 (define @t42 () (tptp.aElementOf0 @t1 tptp.szNzAzT0)) % 0.38/0.65 (define @t43 () (tptp.szszuzczcdt0 @t5)) % 0.38/0.65 (define @t44 () (tptp.aElementOf0 @t5 tptp.szNzAzT0)) % 0.38/0.65 (define @t45 () (and @t42 @t44)) % 0.38/0.65 (define @t46 () (tptp.sdtlseqdt0 @t1 @t5)) % 0.38/0.65 (define @t47 () (tptp.sdtlseqdt0 @t5 @t15)) % 0.38/0.65 (define @t48 () (tptp.aElementOf0 @t15 tptp.szNzAzT0)) % 0.38/0.65 (define @t49 () (tptp.sbrdtbr0 @t1)) % 0.38/0.65 (define @t50 () (= @t49 tptp.sz00)) % 0.38/0.65 (define @t51 () (=> @t2 (= @t50 @t10))) % 0.38/0.65 (define @t52 () (forall @t3 @t51)) % 0.38/0.65 (define @t53 () (and @t2 @t44)) % 0.38/0.65 (define @t54 () (tptp.szmzizndt0 @t1)) % 0.38/0.65 (define @t55 () (tptp.aSubsetOf0 @t1 tptp.szNzAzT0)) % 0.38/0.65 (define @t56 () (tptp.szmzizndt0 @t5)) % 0.38/0.65 (define @t57 () (tptp.slbdtrb0 @t1)) % 0.38/0.65 (define @t58 () (tptp.slbdtrb0 @t5)) % 0.38/0.65 (define @t59 () (tptp.slbdtsldtrb0 @t1 @t5)) % 0.38/0.65 (define @t60 () (tptp.slbdtsldtrb0 tptp.xS tptp.xk)) % 0.38/0.65 (define @t61 () (tptp.aElementOf0 @t1 @t60)) % 0.38/0.65 (define @t62 () (= @t49 tptp.xk)) % 0.38/0.65 (define @t63 () (tptp.aSubsetOf0 @t1 tptp.xS)) % 0.38/0.65 (define @t64 () (forall @t8 (=> @t7 (tptp.aElementOf0 @t5 tptp.xS)))) % 0.38/0.65 (define @t65 () (forall @t3 (and (=> @t61 (and @t2 @t64 @t63 @t62)) (=> (and (or (and @t2 @t64) @t63) @t62) @t61)))) % 0.38/0.65 (define @t66 () (tptp.slbdtsldtrb0 tptp.xT tptp.xk)) % 0.38/0.65 (define @t67 () (tptp.aElementOf0 @t1 @t66)) % 0.38/0.65 (define @t68 () (tptp.aSubsetOf0 @t1 tptp.xT)) % 0.38/0.65 (define @t69 () (forall @t8 (=> @t7 (tptp.aElementOf0 @t5 tptp.xT)))) % 0.38/0.65 (define @t70 () (= (tptp.sbrdtbr0 tptp.xQ) tptp.xk)) % 0.38/0.65 (define @t71 () (tptp.aElementOf0 @t1 tptp.xQ)) % 0.38/0.65 (define @t72 () (tptp.aSet0 tptp.xQ)) % 0.38/0.65 (define @t73 () (exists @t3 @t71)) % 0.38/0.65 (define @t74 () (not @t73)) % 0.38/0.65 (define @t75 () (and @t74 (= tptp.xQ tptp.slcrc0))) % 0.38/0.65 (define @t76 () (= @t10 (= tptp.sz00 @t49))) % 0.38/0.65 (define @t77 () (forall @t3 (not @t71))) % 0.38/0.65 (define @t78 () (tptp.sbrdtbr0 tptp.slcrc0)) % 0.38/0.65 (define @t79 () (= tptp.sz00 @t78)) % 0.38/0.65 (define @t80 () (tptp.aSet0 tptp.slcrc0)) % 0.38/0.65 (define @t81 () (not @t80)) % 0.38/0.65 (define @t82 () (or @t81 @t79)) % 0.38/0.65 (define @t83 () (not @t82)) % 0.38/0.65 (define @t84 () (= (= tptp.slcrc0 tptp.slcrc0) @t79)) % 0.38/0.65 (define @t85 () (or @t81 @t84)) % 0.38/0.65 (define @t86 () (forall @t3 (or (not @t2) @t76))) % 0.38/0.65 (assume @p1 (forall @t3 (=> @t2 true))) % 0.38/0.65 (assume @p2 (forall @t3 (=> @t4 true))) % 0.38/0.65 (assume @p3 (forall @t3 (=> @t2 (forall @t8 (=> @t7 @t6))))) % 0.38/0.65 (assume @p4 (forall @t3 (=> @t2 (=> @t9 true)))) % 0.38/0.65 (assume @p5 (forall @t3 (= @t10 (and @t2 (not (exists @t8 @t7)))))) % 0.38/0.65 (assume @p6 (tptp.isFinite0 tptp.slcrc0)) % 0.38/0.65 (assume @p7 (forall @t3 (=> @t2 (=> @t11 true)))) % 0.38/0.65 (assume @p8 (forall @t3 (=> @t13 @t12))) % 0.38/0.65 (assume @p9 (forall @t3 (=> @t13 @t14))) % 0.38/0.65 (assume @p10 (forall @t3 (=> @t2 (forall @t8 (= @t20 (and @t19 (forall @t18 (=> @t17 @t16)))))))) % 0.38/0.65 (assume @p11 (forall @t3 (=> @t22 (forall @t8 (=> @t20 @t21))))) % 0.38/0.65 (assume @p12 (forall @t3 (=> @t2 (tptp.aSubsetOf0 @t1 @t1)))) % 0.38/0.65 (assume @p13 (forall @t25 (=> (and @t2 @t19) (=> (and @t24 @t20) @t23)))) % 0.38/0.65 (assume @p14 (forall @t27 (=> (and @t2 @t19 @t26) (=> (and @t24 (tptp.aSubsetOf0 @t5 @t15)) (tptp.aSubsetOf0 @t1 @t15))))) % 0.38/0.65 (assume @p15 (forall @t25 (=> @t35 (forall @t18 (= (= @t15 @t34) (and @t26 (forall @t33 (= @t32 (and @t31 (or @t30 @t29)))))))))) % 0.38/0.65 (assume @p16 (forall @t25 (=> @t35 (forall @t18 (= (= @t15 @t36) (and @t26 (forall @t33 (= @t32 (and @t31 @t30 (not @t29)))))))))) % 0.38/0.65 (assume @p17 (forall @t3 (=> @t2 (forall @t8 (=> @t7 (= (tptp.sdtpldt0 @t36 @t5) @t1)))))) % 0.38/0.65 (assume @p18 (forall @t25 (=> (and @t4 @t19) (=> (not (tptp.aElementOf0 @t1 @t5)) (= (tptp.sdtmndt0 @t37 @t1) @t5))))) % 0.38/0.65 (assume @p19 (forall @t3 (=> @t4 (forall @t8 (=> @t38 (tptp.isCountable0 @t37)))))) % 0.38/0.65 (assume @p20 (forall @t3 (=> @t4 (forall @t8 (=> @t38 (tptp.isCountable0 @t39)))))) % 0.38/0.65 (assume @p21 (forall @t3 (=> @t4 (forall @t8 (=> @t40 (tptp.isFinite0 @t37)))))) % 0.38/0.65 (assume @p22 (forall @t3 (=> @t4 (forall @t8 (=> @t40 (tptp.isFinite0 @t39)))))) % 0.38/0.65 (assume @p23 (and (tptp.aSet0 tptp.szNzAzT0) (tptp.isCountable0 tptp.szNzAzT0))) % 0.38/0.65 (assume @p24 (tptp.aElementOf0 tptp.sz00 tptp.szNzAzT0)) % 0.38/0.65 (assume @p25 (forall @t3 (=> @t42 (and (tptp.aElementOf0 @t41 tptp.szNzAzT0) (not (= @t41 tptp.sz00)))))) % 0.38/0.65 (assume @p26 (forall @t25 (=> @t45 (=> (= @t41 @t43) @t23)))) % 0.38/0.65 (assume @p27 (forall @t3 (=> @t42 (or (= @t1 tptp.sz00) (exists @t8 (and @t44 (= @t1 @t43))))))) % 0.38/0.65 (assume @p28 (forall @t3 (=> @t42 (not (= @t1 @t41))))) % 0.38/0.65 (assume @p29 (forall @t25 (=> @t45 (=> @t46 true)))) % 0.38/0.65 (assume @p30 (forall @t3 (=> @t42 (tptp.sdtlseqdt0 tptp.sz00 @t1)))) % 0.38/0.65 (assume @p31 (forall @t3 (=> @t42 (not (tptp.sdtlseqdt0 @t41 tptp.sz00))))) % 0.38/0.65 (assume @p32 (forall @t25 (=> @t45 (= @t46 (tptp.sdtlseqdt0 @t41 @t43))))) % 0.38/0.65 (assume @p33 (forall @t3 (=> @t42 (tptp.sdtlseqdt0 @t1 @t41)))) % 0.38/0.65 (assume @p34 (forall @t3 (=> @t42 (tptp.sdtlseqdt0 @t1 @t1)))) % 0.38/0.65 (assume @p35 (forall @t25 (=> @t45 (=> (and @t46 (tptp.sdtlseqdt0 @t5 @t1)) @t23)))) % 0.38/0.65 (assume @p36 (forall @t27 (=> (and @t42 @t44 @t48) (=> (and @t46 @t47) (tptp.sdtlseqdt0 @t1 @t15))))) % 0.38/0.65 (assume @p37 (forall @t25 (=> @t45 (or @t46 (tptp.sdtlseqdt0 @t43 @t1))))) % 0.38/0.65 (assume @p38 (forall @t25 (=> @t45 (=> (tptp.iLess0 @t1 @t5) true)))) % 0.38/0.65 (assume @p39 (forall @t3 (=> @t42 (tptp.iLess0 @t1 @t41)))) % 0.38/0.65 (assume @p40 (forall @t3 (=> @t2 (tptp.aElement0 @t49)))) % 0.38/0.65 (assume @p41 (forall @t3 (=> @t2 (= (tptp.aElementOf0 @t49 tptp.szNzAzT0) @t9)))) % 0.38/0.65 (assume @p42 @t52) % 0.38/0.65 (assume @p43 (forall @t3 (=> @t22 (forall @t8 (=> @t6 (=> (not @t7) (= (tptp.sbrdtbr0 @t34) (tptp.szszuzczcdt0 @t49)))))))) % 0.38/0.65 (assume @p44 (forall @t3 (=> @t2 (forall @t8 (=> (and @t9 @t7) (= (tptp.szszuzczcdt0 (tptp.sbrdtbr0 @t36)) @t49)))))) % 0.38/0.65 (assume @p45 (forall @t3 (=> @t2 (forall @t8 (=> (and @t9 @t20) (tptp.sdtlseqdt0 (tptp.sbrdtbr0 @t5) @t49)))))) % 0.38/0.65 (assume @p46 (forall @t25 (=> @t53 (=> (and @t9 (tptp.sdtlseqdt0 @t5 @t49)) (exists @t18 (and (tptp.aSubsetOf0 @t15 @t1) (= (tptp.sbrdtbr0 @t15) @t5))))))) % 0.38/0.65 (assume @p47 (forall @t3 (=> (and @t55 @t14) (forall @t8 (= (= @t5 @t54) (and @t7 (forall @t18 (=> @t16 @t47)))))))) % 0.38/0.65 (assume @p48 (forall @t3 (=> (and @t55 @t9 @t14) (forall @t8 (= (= @t5 (tptp.szmzazxdt0 @t1)) (and @t7 (forall @t18 (=> @t16 (tptp.sdtlseqdt0 @t15 @t5))))))))) % 0.38/0.65 (assume @p49 (forall @t25 (=> (and @t55 (tptp.aSubsetOf0 @t5 tptp.szNzAzT0) @t14 (not (= @t5 tptp.slcrc0))) (=> (and (tptp.aElementOf0 @t54 @t5) (tptp.aElementOf0 @t56 @t1)) (= @t54 @t56))))) % 0.38/0.65 (assume @p50 (forall @t3 (=> @t42 (forall @t8 (= (= @t5 @t57) (and @t19 (forall @t18 (= @t17 (and @t48 (tptp.sdtlseqdt0 (tptp.szszuzczcdt0 @t15) @t1)))))))))) % 0.38/0.65 (assume @p51 (forall @t3 (=> @t42 (tptp.isFinite0 @t57)))) % 0.38/0.65 (assume @p52 (= (tptp.slbdtrb0 tptp.sz00) tptp.slcrc0)) % 0.38/0.65 (assume @p53 (forall @t25 (=> @t45 (= (tptp.aElementOf0 @t1 (tptp.slbdtrb0 @t43)) (or (tptp.aElementOf0 @t1 @t58) @t23))))) % 0.38/0.65 (assume @p54 (forall @t25 (=> @t45 (= @t46 (tptp.aSubsetOf0 @t57 @t58))))) % 0.38/0.65 (assume @p55 (forall @t3 (=> (and @t55 @t9) (exists @t8 (and @t44 (tptp.aSubsetOf0 @t1 @t58)))))) % 0.38/0.65 (assume @p56 (forall @t3 (=> @t42 (= (tptp.sbrdtbr0 @t57) @t1)))) % 0.38/0.65 (assume @p57 (forall @t25 (=> @t53 (forall @t18 (= (= @t15 @t59) (and @t26 (forall @t33 (= @t32 (and (tptp.aSubsetOf0 @t28 @t1) (= (tptp.sbrdtbr0 @t28) @t5)))))))))) % 0.38/0.65 (assume @p58 (forall @t3 (=> @t22 (forall @t8 (=> @t44 (tptp.isFinite0 @t59)))))) % 0.38/0.65 (assume @p59 (forall @t3 (=> (and @t2 @t12) (forall @t8 (=> @t44 (not (= @t59 tptp.slcrc0))))))) % 0.38/0.65 (assume @p60 (forall @t3 (=> @t13 (forall @t8 (=> (and @t44 (not (= @t5 tptp.sz00))) (tptp.isCountable0 @t59)))))) % 0.38/0.65 (assume @p61 (tptp.aElementOf0 tptp.xk tptp.szNzAzT0)) % 0.38/0.65 (assume @p62 (and (tptp.aSet0 tptp.xS) (tptp.aSet0 tptp.xT) (not (= tptp.xk tptp.sz00)))) % 0.38/0.65 (assume @p63 (and (tptp.aSet0 @t60) @t65 (tptp.aSet0 @t66) (forall @t3 (and (=> @t67 (and @t2 @t69 @t68 @t62)) (=> (and (or (and @t2 @t69) @t68) @t62) @t67))) (forall @t3 (=> @t61 @t67)) (tptp.aSubsetOf0 @t60 @t66) (not (=> @t65 (or (not (exists @t3 @t61)) (= @t60 tptp.slcrc0)))))) % 0.38/0.65 (assume @p64 (tptp.aElementOf0 tptp.xx tptp.xS)) % 0.38/0.65 (assume @p65 (and @t72 (forall @t3 (=> @t71 (tptp.aElementOf0 @t1 tptp.xS))) (tptp.aSubsetOf0 tptp.xQ tptp.xS) @t70 (tptp.aElementOf0 tptp.xQ @t60))) % 0.38/0.65 (assume @p66 (and @t72 (tptp.isFinite0 tptp.xQ) @t70)) % 0.38/0.65 (assume @p67 (not (not @t75))) % 0.38/0.65 (assume @p68 true) % 0.38/0.65 (step @p69 :rule bool-impl-elim :args (@t2 @t76)) % 0.38/0.65 (step @p70 :rule cong :premises (@p69) :args ((forall @t3 (=> @t2 @t76)))) % 0.38/0.65 (step @p71 :rule eq-symm :args (@t49 tptp.sz00)) % 0.38/0.65 (step @p72 :rule refl :args (@t10)) % 0.38/0.65 (step @p73 :rule cong :premises (@p72 @p71) :args ((= @t10 @t50))) % 0.38/0.65 (step @p74 :rule eq-symm :args (@t50 @t10)) % 0.38/0.65 (step @p75 :rule trans :premises (@p74 @p73)) % 0.38/0.65 (step @p76 :rule refl :args (@t2)) % 0.38/0.65 (step @p77 :rule cong :premises (@p76 @p75) :args (@t51)) % 0.38/0.65 (step @p78 :rule cong :premises (@p77) :args (@t52)) % 0.38/0.65 (step @p79 :rule trans :premises (@p78 @p70)) % 0.38/0.65 (step @p80 :rule eq_resolve :premises (@p42 @p79)) % 0.38/0.65 (step @p81 :rule and_elim :premises (@p62) :args (2)) % 0.38/0.65 (step @p82 :rule symm :premises (@p81)) % 0.38/0.65 (step @p83 :rule false_intro :premises (@p82)) % 0.38/0.65 (step @p84 :rule and_elim :premises (@p65) :args (3)) % 0.38/0.65 (step @p85 :rule eq-symm :args (tptp.xQ tptp.slcrc0)) % 0.38/0.65 (step @p86 :rule bool-double-not-elim :args (@t77)) % 0.38/0.65 (step @p87 :rule exists-elim :args ((= @t73 (not @t77)))) % 0.38/0.65 (step @p88 :rule cong :premises (@p87) :args (@t74)) % 0.38/0.65 (step @p89 :rule trans :premises (@p88 @p86)) % 0.38/0.65 (step @p90 :rule nary_cong :premises (@p89 @p85) :args (@t75)) % 0.38/0.65 (step @p91 :rule bool-double-not-elim :args (@t75)) % 0.38/0.65 (step @p92 :rule trans :premises (@p91 @p90)) % 0.38/0.65 (step @p93 :rule eq_resolve :premises (@p67 @p92)) % 0.38/0.65 (step @p94 :rule and_elim :premises (@p93) :args (1)) % 0.38/0.65 (step @p95 :rule cong :premises (@p94) :args (@t78)) % 0.38/0.65 (step @p96 :rule trans :premises (@p95 @p84)) % 0.38/0.65 (step @p97 :rule refl :args (tptp.sz00)) % 0.38/0.65 (step @p98 :rule cong :premises (@p97 @p96) :args (@t79)) % 0.38/0.65 (step @p99 :rule trans :premises (@p98 @p83)) % 0.38/0.65 (step @p100 :rule false_elim :premises (@p99)) % 0.38/0.65 (step @p101 :rule and_elim :premises (@p65) :args (0)) % 0.38/0.65 (step @p102 :rule true_intro :premises (@p101)) % 0.38/0.65 (step @p103 :rule cong :premises (@p94) :args (@t80)) % 0.38/0.65 (step @p104 :rule trans :premises (@p103 @p102)) % 0.38/0.65 (step @p105 :rule true_elim :premises (@p104)) % 0.38/0.65 (step @p106 :rule cnf_or_pos :args (@t82)) % 0.38/0.65 (step @p107 :rule reordering :premises (@p106) :args ((or @t81 @t79 @t83))) % 0.38/0.65 (step @p108 :rule chain_m_resolution :premises (@p107 @p105 @p100) :args (@t83 (@list false true) (@list @t80 @t79))) % 0.38/0.65 (step @p109 :rule bool-eq-true :args (@t79)) % 0.38/0.65 (step @p110 :rule eq-symm :args (true @t79)) % 0.38/0.65 (step @p111 :rule trans :premises (@p110 @p109)) % 0.38/0.65 (step @p112 :rule refl :args (@t79)) % 0.38/0.65 (step @p113 :rule eq-refl :args (tptp.slcrc0)) % 0.38/0.65 (step @p114 :rule cong :premises (@p113 @p112) :args (@t84)) % 0.38/0.65 (step @p115 :rule trans :premises (@p114 @p111)) % 0.38/0.65 (step @p116 :rule refl :args (@t81)) % 0.38/0.65 (step @p117 :rule nary_cong :premises (@p116 @p115) :args (@t85)) % 0.38/0.65 (step @p118 :rule refl :args (@t86)) % 0.38/0.65 (step @p119 :rule cong :premises (@p118 @p117) :args ((=> @t86 @t85))) % 0.38/0.65 (assume-push @p127 @t86) % 0.38/0.65 (step @p121 :rule instantiate :premises (@p80) :args ((@list tptp.slcrc0))) % 0.38/0.65 (step-pop @p128 :rule scope :premises (@p121)) % 0.38/0.65 (step @p122 :rule process_scope :premises (@p128) :args (@t85)) % 0.38/0.65 (step @p124 :rule eq_resolve :premises (@p122 @p119)) % 0.38/0.65 (step @p125 :rule implies_elim :premises (@p124)) % 0.38/0.65 (step @p126 false :rule chain_m_resolution :premises (@p125 @p108 @p80) :args (false (@list true false) (@list @t82 @t86))) % 0.38/0.65 ) % 0.38/0.65 % SZS output end Proof % 0.38/0.65 % cvc5 exiting %------------------------------------------------------------------------------