%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM561+2 : 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 : n012.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 08:39:51 AM UTC 2026 % Result : Theorem 0.14s 0.39s % Output : Proof 0.14s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : NUM561+2 : TPTP v9.2.1. Released v4.0.0. % 0.00/0.07 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.07/0.25 % Computer : n012.cluster.edu % 0.07/0.25 % Model : x86_64 x86_64 % 0.07/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.07/0.25 % Memory : 8042.1875MB % 0.07/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.07/0.25 % CPULimit : 300 % 0.07/0.25 % WCLimit : 300 % 0.07/0.25 % DateTime : Tue Jun 2 11:29:33 EDT 2026 % 0.07/0.25 % CPUTime : % 0.14/0.33 %----Proving TF0_NAR, FOF, or CNF % 0.14/0.39 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.14/0.39 % SZS status Theorem % 0.14/0.39 % SZS output start Proof % 0.14/0.39 ( % 0.14/0.39 (declare-sort $$unsorted 0) % 0.14/0.39 (declare-const tptp.xx $$unsorted) % 0.14/0.39 (declare-const tptp.xF $$unsorted) % 0.14/0.39 (declare-const tptp.sdtlcdtrc0 (-> $$unsorted $$unsorted $$unsorted)) % 0.14/0.39 (declare-const tptp.sdtlbdtrb0 (-> $$unsorted $$unsorted $$unsorted)) % 0.14/0.39 (declare-const tptp.szDzozmdt0 (-> $$unsorted $$unsorted)) % 0.14/0.39 (declare-const tptp.slbdtsldtrb0 (-> $$unsorted $$unsorted $$unsorted)) % 0.14/0.39 (declare-const tptp.slbdtrb0 (-> $$unsorted $$unsorted)) % 0.14/0.39 (declare-const tptp.szmzazxdt0 (-> $$unsorted $$unsorted)) % 0.14/0.39 (declare-const tptp.sdtlpdtrp0 (-> $$unsorted $$unsorted $$unsorted)) % 0.14/0.39 (declare-const tptp.szmzizndt0 (-> $$unsorted $$unsorted)) % 0.14/0.39 (declare-const tptp.sbrdtbr0 (-> $$unsorted $$unsorted)) % 0.14/0.39 (declare-const tptp.iLess0 (-> $$unsorted $$unsorted Bool)) % 0.14/0.39 (declare-const tptp.aSet0 (-> $$unsorted Bool)) % 0.14/0.39 (declare-const tptp.aElement0 (-> $$unsorted Bool)) % 0.14/0.39 (declare-const tptp.isFinite0 (-> $$unsorted Bool)) % 0.14/0.39 (declare-const tptp.isCountable0 (-> $$unsorted Bool)) % 0.14/0.39 (declare-const tptp.slcrc0 $$unsorted) % 0.14/0.39 (declare-const tptp.sdtpldt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.14/0.39 (declare-const tptp.aSubsetOf0 (-> $$unsorted $$unsorted Bool)) % 0.14/0.39 (declare-const tptp.sdtlseqdt0 (-> $$unsorted $$unsorted Bool)) % 0.14/0.39 (declare-const tptp.szszuzczcdt0 (-> $$unsorted $$unsorted)) % 0.14/0.39 (declare-const tptp.sdtmndt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.14/0.39 (declare-const tptp.aElementOf0 (-> $$unsorted $$unsorted Bool)) % 0.14/0.39 (declare-const tptp.szNzAzT0 $$unsorted) % 0.14/0.39 (declare-const tptp.aFunction0 (-> $$unsorted Bool)) % 0.14/0.39 (declare-const tptp.sz00 $$unsorted) % 0.14/0.39 (define @t1 () (@var "W0" $$unsorted)) % 0.14/0.39 (define @t2 () (tptp.aSet0 @t1)) % 0.14/0.39 (define @t3 () (@list @t1)) % 0.14/0.39 (define @t4 () (tptp.aElement0 @t1)) % 0.14/0.39 (define @t5 () (@var "W1" $$unsorted)) % 0.14/0.39 (define @t6 () (tptp.aElement0 @t5)) % 0.14/0.39 (define @t7 () (tptp.aElementOf0 @t5 @t1)) % 0.14/0.39 (define @t8 () (@list @t5)) % 0.14/0.39 (define @t9 () (tptp.isFinite0 @t1)) % 0.14/0.39 (define @t10 () (= @t1 tptp.slcrc0)) % 0.14/0.39 (define @t11 () (tptp.isCountable0 @t1)) % 0.14/0.39 (define @t12 () (not @t9)) % 0.14/0.39 (define @t13 () (and @t2 @t11)) % 0.14/0.39 (define @t14 () (not @t10)) % 0.14/0.39 (define @t15 () (@var "W2" $$unsorted)) % 0.14/0.39 (define @t16 () (tptp.aElementOf0 @t15 @t1)) % 0.14/0.39 (define @t17 () (tptp.aElementOf0 @t15 @t5)) % 0.14/0.39 (define @t18 () (@list @t15)) % 0.14/0.39 (define @t19 () (tptp.aSet0 @t5)) % 0.14/0.39 (define @t20 () (tptp.aSubsetOf0 @t5 @t1)) % 0.14/0.39 (define @t21 () (tptp.isFinite0 @t5)) % 0.14/0.39 (define @t22 () (and @t2 @t9)) % 0.14/0.39 (define @t23 () (= @t1 @t5)) % 0.14/0.39 (define @t24 () (tptp.aSubsetOf0 @t1 @t5)) % 0.14/0.39 (define @t25 () (@list @t1 @t5)) % 0.14/0.39 (define @t26 () (tptp.aSubsetOf0 @t5 @t15)) % 0.14/0.39 (define @t27 () (tptp.aSet0 @t15)) % 0.14/0.39 (define @t28 () (@list @t1 @t5 @t15)) % 0.14/0.39 (define @t29 () (@var "W3" $$unsorted)) % 0.14/0.39 (define @t30 () (= @t29 @t5)) % 0.14/0.39 (define @t31 () (tptp.aElementOf0 @t29 @t1)) % 0.14/0.39 (define @t32 () (tptp.aElement0 @t29)) % 0.14/0.39 (define @t33 () (tptp.aElementOf0 @t29 @t15)) % 0.14/0.39 (define @t34 () (@list @t29)) % 0.14/0.39 (define @t35 () (tptp.sdtpldt0 @t1 @t5)) % 0.14/0.39 (define @t36 () (and @t2 @t6)) % 0.14/0.39 (define @t37 () (tptp.sdtmndt0 @t1 @t5)) % 0.14/0.39 (define @t38 () (tptp.sdtpldt0 @t5 @t1)) % 0.14/0.39 (define @t39 () (and @t19 (tptp.isCountable0 @t5))) % 0.14/0.39 (define @t40 () (tptp.sdtmndt0 @t5 @t1)) % 0.14/0.39 (define @t41 () (and @t19 @t21)) % 0.14/0.39 (define @t42 () (tptp.szszuzczcdt0 @t1)) % 0.14/0.39 (define @t43 () (tptp.aElementOf0 @t1 tptp.szNzAzT0)) % 0.14/0.39 (define @t44 () (tptp.szszuzczcdt0 @t5)) % 0.14/0.39 (define @t45 () (tptp.aElementOf0 @t5 tptp.szNzAzT0)) % 0.14/0.39 (define @t46 () (and @t43 @t45)) % 0.14/0.39 (define @t47 () (= @t1 tptp.sz00)) % 0.14/0.39 (define @t48 () (tptp.sdtlseqdt0 @t1 @t5)) % 0.14/0.39 (define @t49 () (tptp.sdtlseqdt0 @t5 @t15)) % 0.14/0.39 (define @t50 () (tptp.aElementOf0 @t15 tptp.szNzAzT0)) % 0.14/0.39 (define @t51 () (tptp.sbrdtbr0 @t1)) % 0.14/0.39 (define @t52 () (and @t2 @t45)) % 0.14/0.39 (define @t53 () (tptp.szmzizndt0 @t1)) % 0.14/0.39 (define @t54 () (tptp.aSubsetOf0 @t1 tptp.szNzAzT0)) % 0.14/0.39 (define @t55 () (tptp.szmzizndt0 @t5)) % 0.14/0.39 (define @t56 () (tptp.slbdtrb0 @t1)) % 0.14/0.39 (define @t57 () (tptp.slbdtrb0 @t5)) % 0.14/0.39 (define @t58 () (tptp.aSubsetOf0 @t29 @t1)) % 0.14/0.39 (define @t59 () (tptp.slbdtsldtrb0 @t1 @t5)) % 0.14/0.39 (define @t60 () (tptp.slbdtsldtrb0 @t5 @t1)) % 0.14/0.39 (define @t61 () (tptp.aFunction0 @t1)) % 0.14/0.39 (define @t62 () (tptp.szDzozmdt0 @t1)) % 0.14/0.39 (define @t63 () (tptp.sdtlbdtrb0 @t1 @t5)) % 0.14/0.39 (define @t64 () (and @t61 @t6)) % 0.14/0.39 (define @t65 () (@var "W4" $$unsorted)) % 0.14/0.39 (define @t66 () (tptp.szDzozmdt0 tptp.xF)) % 0.14/0.39 (define @t67 () (tptp.aElementOf0 tptp.xx @t66)) % 0.14/0.39 (define @t68 () (tptp.sdtlpdtrp0 tptp.xF tptp.xx)) % 0.14/0.39 (define @t69 () (tptp.aElementOf0 @t68 (tptp.sdtlcdtrc0 tptp.xF @t66))) % 0.14/0.39 (define @t70 () (= (tptp.sdtlpdtrp0 tptp.xF @t1) @t68)) % 0.14/0.39 (define @t71 () (tptp.aElementOf0 @t1 @t66)) % 0.14/0.39 (define @t72 () (and @t71 @t70)) % 0.14/0.39 (define @t73 () (exists @t3 @t72)) % 0.14/0.39 (define @t74 () (or @t73 @t69)) % 0.14/0.39 (define @t75 () (not @t74)) % 0.14/0.39 (define @t76 () (forall @t3 (not @t72))) % 0.14/0.39 (define @t77 () (not @t76)) % 0.14/0.39 (define @t78 () (not @t67)) % 0.14/0.39 (define @t79 () (not (= @t68 @t68))) % 0.14/0.39 (define @t80 () (or @t78 @t79)) % 0.14/0.39 (define @t81 () (forall @t3 (or (not @t71) (not @t70)))) % 0.14/0.39 (assume @p1 (forall @t3 (=> @t2 true))) % 0.14/0.39 (assume @p2 (forall @t3 (=> @t4 true))) % 0.14/0.39 (assume @p3 (forall @t3 (=> @t2 (forall @t8 (=> @t7 @t6))))) % 0.14/0.39 (assume @p4 (forall @t3 (=> @t2 (=> @t9 true)))) % 0.14/0.39 (assume @p5 (forall @t3 (= @t10 (and @t2 (not (exists @t8 @t7)))))) % 0.14/0.39 (assume @p6 (tptp.isFinite0 tptp.slcrc0)) % 0.14/0.39 (assume @p7 (forall @t3 (=> @t2 (=> @t11 true)))) % 0.14/0.39 (assume @p8 (forall @t3 (=> @t13 @t12))) % 0.14/0.39 (assume @p9 (forall @t3 (=> @t13 @t14))) % 0.14/0.39 (assume @p10 (forall @t3 (=> @t2 (forall @t8 (= @t20 (and @t19 (forall @t18 (=> @t17 @t16)))))))) % 0.14/0.39 (assume @p11 (forall @t3 (=> @t22 (forall @t8 (=> @t20 @t21))))) % 0.14/0.39 (assume @p12 (forall @t3 (=> @t2 (tptp.aSubsetOf0 @t1 @t1)))) % 0.14/0.39 (assume @p13 (forall @t25 (=> (and @t2 @t19) (=> (and @t24 @t20) @t23)))) % 0.14/0.39 (assume @p14 (forall @t28 (=> (and @t2 @t19 @t27) (=> (and @t24 @t26) (tptp.aSubsetOf0 @t1 @t15))))) % 0.14/0.39 (assume @p15 (forall @t25 (=> @t36 (forall @t18 (= (= @t15 @t35) (and @t27 (forall @t34 (= @t33 (and @t32 (or @t31 @t30)))))))))) % 0.14/0.39 (assume @p16 (forall @t25 (=> @t36 (forall @t18 (= (= @t15 @t37) (and @t27 (forall @t34 (= @t33 (and @t32 @t31 (not @t30)))))))))) % 0.14/0.39 (assume @p17 (forall @t3 (=> @t2 (forall @t8 (=> @t7 (= (tptp.sdtpldt0 @t37 @t5) @t1)))))) % 0.14/0.39 (assume @p18 (forall @t25 (=> (and @t4 @t19) (=> (not (tptp.aElementOf0 @t1 @t5)) (= (tptp.sdtmndt0 @t38 @t1) @t5))))) % 0.14/0.39 (assume @p19 (forall @t3 (=> @t4 (forall @t8 (=> @t39 (tptp.isCountable0 @t38)))))) % 0.14/0.39 (assume @p20 (forall @t3 (=> @t4 (forall @t8 (=> @t39 (tptp.isCountable0 @t40)))))) % 0.14/0.39 (assume @p21 (forall @t3 (=> @t4 (forall @t8 (=> @t41 (tptp.isFinite0 @t38)))))) % 0.14/0.39 (assume @p22 (forall @t3 (=> @t4 (forall @t8 (=> @t41 (tptp.isFinite0 @t40)))))) % 0.14/0.39 (assume @p23 (and (tptp.aSet0 tptp.szNzAzT0) (tptp.isCountable0 tptp.szNzAzT0))) % 0.14/0.39 (assume @p24 (tptp.aElementOf0 tptp.sz00 tptp.szNzAzT0)) % 0.14/0.39 (assume @p25 (forall @t3 (=> @t43 (and (tptp.aElementOf0 @t42 tptp.szNzAzT0) (not (= @t42 tptp.sz00)))))) % 0.14/0.39 (assume @p26 (forall @t25 (=> @t46 (=> (= @t42 @t44) @t23)))) % 0.14/0.39 (assume @p27 (forall @t3 (=> @t43 (or @t47 (exists @t8 (and @t45 (= @t1 @t44))))))) % 0.14/0.39 (assume @p28 (forall @t3 (=> @t43 (not (= @t1 @t42))))) % 0.14/0.39 (assume @p29 (forall @t25 (=> @t46 (=> @t48 true)))) % 0.14/0.39 (assume @p30 (forall @t3 (=> @t43 (tptp.sdtlseqdt0 tptp.sz00 @t1)))) % 0.14/0.39 (assume @p31 (forall @t3 (=> @t43 (not (tptp.sdtlseqdt0 @t42 tptp.sz00))))) % 0.14/0.39 (assume @p32 (forall @t25 (=> @t46 (= @t48 (tptp.sdtlseqdt0 @t42 @t44))))) % 0.14/0.39 (assume @p33 (forall @t3 (=> @t43 (tptp.sdtlseqdt0 @t1 @t42)))) % 0.14/0.39 (assume @p34 (forall @t3 (=> @t43 (tptp.sdtlseqdt0 @t1 @t1)))) % 0.14/0.39 (assume @p35 (forall @t25 (=> @t46 (=> (and @t48 (tptp.sdtlseqdt0 @t5 @t1)) @t23)))) % 0.14/0.39 (assume @p36 (forall @t28 (=> (and @t43 @t45 @t50) (=> (and @t48 @t49) (tptp.sdtlseqdt0 @t1 @t15))))) % 0.14/0.39 (assume @p37 (forall @t25 (=> @t46 (or @t48 (tptp.sdtlseqdt0 @t44 @t1))))) % 0.14/0.39 (assume @p38 (forall @t25 (=> @t46 (=> (tptp.iLess0 @t1 @t5) true)))) % 0.14/0.39 (assume @p39 (forall @t3 (=> @t43 (tptp.iLess0 @t1 @t42)))) % 0.14/0.39 (assume @p40 (forall @t3 (=> @t2 (tptp.aElement0 @t51)))) % 0.14/0.39 (assume @p41 (forall @t3 (=> @t2 (= (tptp.aElementOf0 @t51 tptp.szNzAzT0) @t9)))) % 0.14/0.39 (assume @p42 (forall @t3 (=> @t2 (= (= @t51 tptp.sz00) @t10)))) % 0.14/0.39 (assume @p43 (forall @t3 (=> @t22 (forall @t8 (=> @t6 (=> (not @t7) (= (tptp.sbrdtbr0 @t35) (tptp.szszuzczcdt0 @t51)))))))) % 0.14/0.39 (assume @p44 (forall @t3 (=> @t2 (forall @t8 (=> (and @t9 @t7) (= (tptp.szszuzczcdt0 (tptp.sbrdtbr0 @t37)) @t51)))))) % 0.14/0.39 (assume @p45 (forall @t3 (=> @t2 (forall @t8 (=> (and @t9 @t20) (tptp.sdtlseqdt0 (tptp.sbrdtbr0 @t5) @t51)))))) % 0.14/0.39 (assume @p46 (forall @t25 (=> @t52 (=> (and @t9 (tptp.sdtlseqdt0 @t5 @t51)) (exists @t18 (and (tptp.aSubsetOf0 @t15 @t1) (= (tptp.sbrdtbr0 @t15) @t5))))))) % 0.14/0.39 (assume @p47 (forall @t3 (=> (and @t54 @t14) (forall @t8 (= (= @t5 @t53) (and @t7 (forall @t18 (=> @t16 @t49)))))))) % 0.14/0.39 (assume @p48 (forall @t3 (=> (and @t54 @t9 @t14) (forall @t8 (= (= @t5 (tptp.szmzazxdt0 @t1)) (and @t7 (forall @t18 (=> @t16 (tptp.sdtlseqdt0 @t15 @t5))))))))) % 0.14/0.39 (assume @p49 (forall @t25 (=> (and @t54 (tptp.aSubsetOf0 @t5 tptp.szNzAzT0) @t14 (not (= @t5 tptp.slcrc0))) (=> (and (tptp.aElementOf0 @t53 @t5) (tptp.aElementOf0 @t55 @t1)) (= @t53 @t55))))) % 0.14/0.39 (assume @p50 (forall @t3 (=> @t43 (forall @t8 (= (= @t5 @t56) (and @t19 (forall @t18 (= @t17 (and @t50 (tptp.sdtlseqdt0 (tptp.szszuzczcdt0 @t15) @t1)))))))))) % 0.14/0.39 (assume @p51 (forall @t3 (=> @t43 (tptp.isFinite0 @t56)))) % 0.14/0.39 (assume @p52 (= (tptp.slbdtrb0 tptp.sz00) tptp.slcrc0)) % 0.14/0.39 (assume @p53 (forall @t25 (=> @t46 (= (tptp.aElementOf0 @t1 (tptp.slbdtrb0 @t44)) (or (tptp.aElementOf0 @t1 @t57) @t23))))) % 0.14/0.39 (assume @p54 (forall @t25 (=> @t46 (= @t48 (tptp.aSubsetOf0 @t56 @t57))))) % 0.14/0.39 (assume @p55 (forall @t3 (=> (and @t54 @t9) (exists @t8 (and @t45 (tptp.aSubsetOf0 @t1 @t57)))))) % 0.14/0.39 (assume @p56 (forall @t3 (=> @t43 (= (tptp.sbrdtbr0 @t56) @t1)))) % 0.14/0.39 (assume @p57 (forall @t25 (=> @t52 (forall @t18 (= (= @t15 @t59) (and @t27 (forall @t34 (= @t33 (and @t58 (= (tptp.sbrdtbr0 @t29) @t5)))))))))) % 0.14/0.39 (assume @p58 (forall @t3 (=> @t22 (forall @t8 (=> @t45 (tptp.isFinite0 @t59)))))) % 0.14/0.39 (assume @p59 (forall @t3 (=> (and @t2 @t12) (forall @t8 (=> @t45 (not (= @t59 tptp.slcrc0))))))) % 0.14/0.39 (assume @p60 (forall @t3 (=> @t13 (forall @t8 (=> (and @t45 (not (= @t5 tptp.sz00))) (tptp.isCountable0 @t59)))))) % 0.14/0.39 (assume @p61 (forall @t3 (=> @t43 (forall (@list @t5 @t15) (=> (and @t19 @t27 (not @t47)) (=> (and (tptp.aSubsetOf0 @t60 (tptp.slbdtsldtrb0 @t15 @t1)) (not (= @t60 tptp.slcrc0))) @t26)))))) % 0.14/0.39 (assume @p62 (forall @t25 (=> @t52 (forall @t18 (=> (and (tptp.aSubsetOf0 @t15 @t59) (tptp.isFinite0 @t15)) (exists @t34 (and @t58 (tptp.isFinite0 @t29) (tptp.aSubsetOf0 @t15 (tptp.slbdtsldtrb0 @t29 @t5))))))))) % 0.14/0.39 (assume @p63 (forall @t3 (=> @t61 true))) % 0.14/0.39 (assume @p64 (forall @t3 (=> @t61 (tptp.aSet0 @t62)))) % 0.14/0.39 (assume @p65 (forall @t3 (=> @t61 (forall @t8 (=> (tptp.aElementOf0 @t5 @t62) (tptp.aElement0 (tptp.sdtlpdtrp0 @t1 @t5))))))) % 0.14/0.39 (assume @p66 (forall @t25 (=> @t64 (forall @t18 (= (= @t15 @t63) (and @t27 (forall @t34 (= @t33 (and (tptp.aElementOf0 @t29 @t62) (= (tptp.sdtlpdtrp0 @t1 @t29) @t5)))))))))) % 0.14/0.39 (assume @p67 (forall @t25 (=> @t64 (tptp.aSubsetOf0 @t63 @t62)))) % 0.14/0.39 (assume @p68 (forall @t3 (=> @t61 (forall @t8 (=> (tptp.aSubsetOf0 @t5 @t62) (forall @t18 (= (= @t15 (tptp.sdtlcdtrc0 @t1 @t5)) (and @t27 (forall @t34 (= @t33 (exists (@list @t65) (and (tptp.aElementOf0 @t65 @t5) (= (tptp.sdtlpdtrp0 @t1 @t65) @t29))))))))))))) % 0.14/0.39 (assume @p69 (tptp.aFunction0 tptp.xF)) % 0.14/0.39 (assume @p70 @t67) % 0.14/0.39 (assume @p71 @t75) % 0.14/0.39 (assume @p72 true) % 0.14/0.39 (step @p73 :rule refl :args (@t69)) % 0.14/0.39 (step @p74 :rule bool-and-de-morgan :args (@t71 @t70 true)) % 0.14/0.39 (step @p75 :rule cong :premises (@p74) :args (@t76)) % 0.14/0.39 (step @p76 :rule cong :premises (@p75) :args (@t77)) % 0.14/0.39 (step @p77 :rule exists-elim :args ((= @t73 @t77))) % 0.14/0.39 (step @p78 :rule trans :premises (@p77 @p76)) % 0.14/0.39 (step @p79 :rule nary_cong :premises (@p78 @p73) :args (@t74)) % 0.14/0.39 (step @p80 :rule cong :premises (@p79) :args (@t75)) % 0.14/0.39 (step @p81 :rule eq_resolve :premises (@p71 @p80)) % 0.14/0.39 (step @p82 :rule not_or_elim :premises (@p81) :args (0)) % 0.14/0.39 (step @p83 :rule not_not_elim :premises (@p82)) % 0.14/0.39 (step @p84 :rule aci_norm :args ((= (or @t78 false) @t78))) % 0.14/0.39 (step @p85 :rule evaluate :args ((not true))) % 0.14/0.39 (step @p86 :rule eq-refl :args (@t68)) % 0.14/0.39 (step @p87 :rule cong :premises (@p86) :args (@t79)) % 0.14/0.39 (step @p88 :rule trans :premises (@p87 @p85)) % 0.14/0.39 (step @p89 :rule refl :args (@t78)) % 0.14/0.39 (step @p90 :rule nary_cong :premises (@p89 @p88) :args (@t80)) % 0.14/0.39 (step @p91 :rule trans :premises (@p90 @p84)) % 0.14/0.39 (step @p92 :rule refl :args (@t81)) % 0.14/0.39 (step @p93 :rule cong :premises (@p92 @p91) :args ((=> @t81 @t80))) % 0.14/0.39 (assume-push @p101 @t81) % 0.14/0.39 (step @p95 :rule instantiate :premises (@p83) :args ((@list tptp.xx))) % 0.14/0.39 (step-pop @p102 :rule scope :premises (@p95)) % 0.14/0.39 (step @p96 :rule process_scope :premises (@p102) :args (@t80)) % 0.14/0.39 (step @p98 :rule eq_resolve :premises (@p96 @p93)) % 0.14/0.39 (step @p99 :rule implies_elim :premises (@p98)) % 0.14/0.39 (step @p100 false :rule chain_m_resolution :premises (@p99 @p83 @p70) :args (false (@list false false) (@list @t81 @t67))) % 0.14/0.39 ) % 0.14/0.39 % SZS output end Proof % 0.14/0.39 % cvc5 exiting %------------------------------------------------------------------------------