%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : KLE131+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 : n017.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 08:28:21 AM UTC 2026 % Result : Theorem 157.95s 158.27s % Output : Proof 157.95s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : KLE131+1 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n017.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 05:17:46 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.49 %----Proving TF0_NAR, FOF, or CNF % 157.95/158.27 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 157.95/158.27 --- Run --no-e-matching --full-saturate-quant at 6... % 157.95/158.27 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 157.95/158.27 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 157.95/158.27 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 157.95/158.27 --- Run --trigger-sel=max --full-saturate-quant at 15... % 157.95/158.27 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 33... % 157.95/158.27 --- Run --multi-trigger-cache --full-saturate-quant at 15... % 157.95/158.27 --- Run --prenex-quant=none --full-saturate-quant at 30... % 157.95/158.27 --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 15... % 157.95/158.27 % SZS status Theorem % 157.95/158.27 % SZS output start Proof % 157.95/158.27 ( % 157.95/158.27 (declare-sort $$unsorted 0) % 157.95/158.27 (declare-const tptp.divergence (-> $$unsorted $$unsorted)) % 157.95/158.27 (declare-const tptp.backward_box (-> $$unsorted $$unsorted $$unsorted)) % 157.95/158.27 (declare-const tptp.forward_box (-> $$unsorted $$unsorted $$unsorted)) % 157.95/158.27 (declare-const tptp.addition (-> $$unsorted $$unsorted $$unsorted)) % 157.95/158.27 (declare-const tptp.backward_diamond (-> $$unsorted $$unsorted $$unsorted)) % 157.95/158.27 (declare-const tptp.zero $$unsorted) % 157.95/158.27 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 157.95/158.27 (declare-const tptp.codomain (-> $$unsorted $$unsorted)) % 157.95/158.27 (declare-const tptp.star (-> $$unsorted $$unsorted)) % 157.95/158.27 (declare-const tptp.one $$unsorted) % 157.95/158.27 (declare-const tptp.antidomain (-> $$unsorted $$unsorted)) % 157.95/158.27 (declare-const tptp.domain (-> $$unsorted $$unsorted)) % 157.95/158.27 (declare-const tptp.c (-> $$unsorted $$unsorted)) % 157.95/158.27 (declare-const tptp.multiplication (-> $$unsorted $$unsorted $$unsorted)) % 157.95/158.27 (declare-const tptp.domain_difference (-> $$unsorted $$unsorted $$unsorted)) % 157.95/158.27 (declare-const tptp.coantidomain (-> $$unsorted $$unsorted)) % 157.95/158.27 (declare-const tptp.forward_diamond (-> $$unsorted $$unsorted $$unsorted)) % 157.95/158.27 (define @t1 () (@var "A" $$unsorted)) % 157.95/158.27 (define @t2 () (@var "B" $$unsorted)) % 157.95/158.27 (define @t3 () (tptp.addition @t1 @t2)) % 157.95/158.27 (define @t4 () (@list @t1 @t2)) % 157.95/158.27 (define @t5 () (@var "C" $$unsorted)) % 157.95/158.27 (define @t6 () (tptp.addition @t2 @t5)) % 157.95/158.27 (define @t7 () (tptp.addition @t1 tptp.zero)) % 157.95/158.27 (define @t8 () (@list @t1)) % 157.95/158.27 (define @t9 () (forall @t8 (= @t7 @t1))) % 157.95/158.27 (define @t10 () (tptp.multiplication @t1 @t2)) % 157.95/158.27 (define @t11 () (tptp.multiplication @t2 @t5)) % 157.95/158.27 (define @t12 () (@list @t1 @t2 @t5)) % 157.95/158.27 (define @t13 () (tptp.multiplication @t1 tptp.one)) % 157.95/158.27 (define @t14 () (forall @t8 (= @t13 @t1))) % 157.95/158.27 (define @t15 () (tptp.multiplication tptp.one @t1)) % 157.95/158.27 (define @t16 () (forall @t8 (= @t15 @t1))) % 157.95/158.27 (define @t17 () (tptp.multiplication @t1 @t5)) % 157.95/158.27 (define @t18 () (tptp.multiplication @t1 tptp.zero)) % 157.95/158.27 (define @t19 () (forall @t8 (= @t18 tptp.zero))) % 157.95/158.27 (define @t20 () (tptp.multiplication tptp.zero @t1)) % 157.95/158.27 (define @t21 () (forall @t8 (= @t20 tptp.zero))) % 157.95/158.27 (define @t22 () (@var "X0" $$unsorted)) % 157.95/158.27 (define @t23 () (tptp.antidomain @t22)) % 157.95/158.27 (define @t24 () (tptp.multiplication @t23 @t22)) % 157.95/158.27 (define @t25 () (@list @t22)) % 157.95/158.27 (define @t26 () (forall @t25 (= @t24 tptp.zero))) % 157.95/158.27 (define @t27 () (@var "X1" $$unsorted)) % 157.95/158.27 (define @t28 () (tptp.antidomain @t27)) % 157.95/158.27 (define @t29 () (tptp.antidomain (tptp.multiplication @t22 (tptp.antidomain @t28)))) % 157.95/158.27 (define @t30 () (tptp.multiplication @t22 @t27)) % 157.95/158.27 (define @t31 () (@list @t22 @t27)) % 157.95/158.27 (define @t32 () (tptp.antidomain @t23)) % 157.95/158.27 (define @t33 () (tptp.addition @t32 @t23)) % 157.95/158.27 (define @t34 () (forall @t25 (= @t33 tptp.one))) % 157.95/158.27 (define @t35 () (tptp.domain @t22)) % 157.95/158.27 (define @t36 () (forall @t25 (= @t35 @t32))) % 157.95/158.27 (define @t37 () (tptp.coantidomain @t22)) % 157.95/158.27 (define @t38 () (tptp.coantidomain @t37)) % 157.95/158.27 (define @t39 () (tptp.coantidomain (tptp.multiplication @t38 @t27))) % 157.95/158.27 (define @t40 () (tptp.domain @t27)) % 157.95/158.27 (define @t41 () (tptp.c @t27)) % 157.95/158.27 (define @t42 () (tptp.divergence @t22)) % 157.95/158.27 (define @t43 () (tptp.forward_diamond @t22 @t42)) % 157.95/158.27 (define @t44 () (forall @t25 (= @t43 @t42))) % 157.95/158.27 (define @t45 () (@var "X2" $$unsorted)) % 157.95/158.27 (define @t46 () (tptp.domain @t45)) % 157.95/158.27 (define @t47 () (tptp.addition (tptp.divergence @t27) (tptp.forward_diamond (tptp.star @t27) @t46))) % 157.95/158.27 (define @t48 () (tptp.addition (tptp.forward_diamond @t27 @t35) @t46)) % 157.95/158.27 (define @t49 () (tptp.forward_diamond (tptp.star @t22) (tptp.domain_difference @t40 (tptp.forward_diamond @t22 @t40)))) % 157.95/158.27 (define @t50 () (tptp.addition @t40 @t49)) % 157.95/158.27 (define @t51 () (@list @t27)) % 157.95/158.27 (define @t52 () (forall @t51 (= @t50 @t49))) % 157.95/158.27 (define @t53 () (=> @t52 (= @t42 tptp.zero))) % 157.95/158.27 (define @t54 () (forall @t25 @t53)) % 157.95/158.27 (define @t55 () (not @t54)) % 157.95/158.27 (define @t56 () (forall @t51 (= @t49 @t50))) % 157.95/158.27 (define @t57 () (= tptp.zero @t42)) % 157.95/158.27 (define @t58 () (@quantifiers_skolemize (forall @t25 (or (not @t56) @t57)) 0)) % 157.95/158.27 (define @t59 () (tptp.divergence @t58)) % 157.95/158.27 (define @t60 () (= tptp.zero @t59)) % 157.95/158.27 (define @t61 () (tptp.star @t58)) % 157.95/158.27 (define @t62 () (tptp.forward_diamond @t61 (tptp.domain_difference @t40 (tptp.forward_diamond @t58 @t40)))) % 157.95/158.27 (define @t63 () (forall @t51 (= @t62 (tptp.addition @t40 @t62)))) % 157.95/158.27 (define @t64 () (not @t63)) % 157.95/158.27 (define @t65 () (or @t64 @t60)) % 157.95/158.27 (define @t66 () (@list true)) % 157.95/158.27 (define @t67 () (@list @t65)) % 157.95/158.27 (define @t68 () (@list @t58)) % 157.95/158.27 (define @t69 () (@list tptp.zero)) % 157.95/158.27 (define @t70 () (tptp.antidomain tptp.zero)) % 157.95/158.27 (define @t71 () (tptp.domain tptp.zero)) % 157.95/158.27 (define @t72 () (tptp.forward_diamond @t58 @t71)) % 157.95/158.27 (define @t73 () (tptp.domain_difference @t71 @t72)) % 157.95/158.27 (define @t74 () (tptp.divergence tptp.zero)) % 157.95/158.27 (define @t75 () (@list tptp.one)) % 157.95/158.27 (define @t76 () (tptp.domain @t74)) % 157.95/158.27 (define @t77 () (tptp.antidomain tptp.one)) % 157.95/158.27 (define @t78 () (tptp.domain tptp.one)) % 157.95/158.27 (define @t79 () (tptp.antidomain @t77)) % 157.95/158.27 (define @t80 () (tptp.antidomain @t59)) % 157.95/158.27 (define @t81 () (tptp.antidomain @t80)) % 157.95/158.27 (define @t82 () (tptp.domain @t59)) % 157.95/158.27 (define @t83 () (forall @t25 (= @t32 @t35))) % 157.95/158.27 (define @t84 () (= @t81 @t82)) % 157.95/158.27 (define @t85 () (= @t82 @t81)) % 157.95/158.27 (define @t86 () (tptp.multiplication @t58 @t82)) % 157.95/158.27 (define @t87 () (tptp.domain @t86)) % 157.95/158.27 (define @t88 () (tptp.forward_diamond @t58 @t87)) % 157.95/158.27 (define @t89 () (tptp.forward_diamond @t58 @t59)) % 157.95/158.27 (define @t90 () (= @t59 @t89)) % 157.95/158.27 (define @t91 () (tptp.antidomain @t70)) % 157.95/158.27 (define @t92 () (= @t91 @t71)) % 157.95/158.27 (define @t93 () (tptp.multiplication @t71 @t70)) % 157.95/158.27 (define @t94 () (= (tptp.domain_difference tptp.zero tptp.zero) @t93)) % 157.95/158.27 (define @t95 () (tptp.forward_diamond tptp.zero @t74)) % 157.95/158.27 (define @t96 () (= @t74 @t95)) % 157.95/158.27 (define @t97 () (= tptp.zero (tptp.multiplication @t91 @t70))) % 157.95/158.27 (define @t98 () (= @t89 @t87)) % 157.95/158.27 (define @t99 () (tptp.domain @t71)) % 157.95/158.27 (define @t100 () (tptp.multiplication @t58 @t99)) % 157.95/158.27 (define @t101 () (tptp.domain @t100)) % 157.95/158.27 (define @t102 () (= @t72 @t101)) % 157.95/158.27 (define @t103 () (tptp.domain @t73)) % 157.95/158.27 (define @t104 () (tptp.multiplication @t61 @t103)) % 157.95/158.27 (define @t105 () (tptp.domain @t104)) % 157.95/158.27 (define @t106 () (= (tptp.forward_diamond @t61 @t73) @t105)) % 157.95/158.27 (define @t107 () (tptp.multiplication tptp.zero @t76)) % 157.95/158.27 (define @t108 () (tptp.domain @t107)) % 157.95/158.27 (define @t109 () (= @t95 @t108)) % 157.95/158.27 (define @t110 () (tptp.multiplication @t77 tptp.one)) % 157.95/158.27 (define @t111 () (= tptp.zero @t110)) % 157.95/158.27 (define @t112 () (= tptp.zero (tptp.multiplication @t58 tptp.zero))) % 157.95/158.27 (define @t113 () (= tptp.one (tptp.addition @t79 @t77))) % 157.95/158.27 (define @t114 () (= @t79 @t78)) % 157.95/158.27 (define @t115 () (= tptp.zero @t107)) % 157.95/158.27 (define @t116 () (= @t77 @t110)) % 157.95/158.27 (define @t117 () (= @t78 (tptp.multiplication tptp.one @t78))) % 157.95/158.27 (define @t118 () (tptp.addition @t79 tptp.zero)) % 157.95/158.27 (define @t119 () (= @t79 @t118)) % 157.95/158.27 (define @t120 () (= tptp.zero (tptp.multiplication @t61 tptp.zero))) % 157.95/158.27 (define @t121 () (tptp.domain_difference @t87 @t88)) % 157.95/158.27 (define @t122 () (tptp.forward_diamond @t61 @t121)) % 157.95/158.27 (define @t123 () (tptp.addition @t87 @t122)) % 157.95/158.27 (define @t124 () (= @t122 @t123)) % 157.95/158.27 (define @t125 () (= tptp.zero (tptp.multiplication @t81 @t80))) % 157.95/158.27 (define @t126 () (tptp.antidomain @t88)) % 157.95/158.27 (define @t127 () (tptp.domain @t87)) % 157.95/158.27 (define @t128 () (tptp.multiplication @t127 @t126)) % 157.95/158.27 (define @t129 () (= @t121 @t128)) % 157.95/158.27 (define @t130 () (= @t87 (tptp.addition @t87 tptp.zero))) % 157.95/158.27 (define @t131 () (tptp.multiplication tptp.one @t79)) % 157.95/158.27 (define @t132 () (and @t90 @t92 @t94 @t96 @t97 @t98 @t102 @t106 @t109 @t111 @t112 @t113 @t114 @t115 @t116 @t117 @t119 @t120 @t85 @t124 @t125 @t129 @t130)) % 157.95/158.27 (assume @p1 (forall @t4 (= @t3 (tptp.addition @t2 @t1)))) % 157.95/158.27 (assume @p2 (forall (@list @t5 @t2 @t1) (= (tptp.addition @t1 @t6) (tptp.addition @t3 @t5)))) % 157.95/158.27 (assume @p3 @t9) % 157.95/158.27 (assume @p4 (forall @t8 (= (tptp.addition @t1 @t1) @t1))) % 157.95/158.27 (assume @p5 (forall @t12 (= (tptp.multiplication @t1 @t11) (tptp.multiplication @t10 @t5)))) % 157.95/158.27 (assume @p6 @t14) % 157.95/158.27 (assume @p7 @t16) % 157.95/158.27 (assume @p8 (forall @t12 (= (tptp.multiplication @t1 @t6) (tptp.addition @t10 @t17)))) % 157.95/158.27 (assume @p9 (forall @t12 (= (tptp.multiplication @t3 @t5) (tptp.addition @t17 @t11)))) % 157.95/158.27 (assume @p10 @t19) % 157.95/158.27 (assume @p11 @t21) % 157.95/158.27 (assume @p12 (forall @t4 (= (tptp.leq @t1 @t2) (= @t3 @t2)))) % 157.95/158.27 (assume @p13 @t26) % 157.95/158.27 (assume @p14 (forall @t31 (= (tptp.addition (tptp.antidomain @t30) @t29) @t29))) % 157.95/158.27 (assume @p15 @t34) % 157.95/158.27 (assume @p16 @t36) % 157.95/158.27 (assume @p17 (forall @t25 (= (tptp.multiplication @t22 @t37) tptp.zero))) % 157.95/158.27 (assume @p18 (forall @t31 (= (tptp.addition (tptp.coantidomain @t30) @t39) @t39))) % 157.95/158.27 (assume @p19 (forall @t25 (= (tptp.addition @t38 @t37) tptp.one))) % 157.95/158.27 (assume @p20 (forall @t25 (= (tptp.codomain @t22) @t38))) % 157.95/158.27 (assume @p21 (forall @t25 (= (tptp.c @t22) (tptp.antidomain @t35)))) % 157.95/158.27 (assume @p22 (forall @t31 (= (tptp.domain_difference @t22 @t27) (tptp.multiplication @t35 @t28)))) % 157.95/158.27 (assume @p23 (forall @t31 (= (tptp.forward_diamond @t22 @t27) (tptp.domain (tptp.multiplication @t22 @t40))))) % 157.95/158.27 (assume @p24 (forall @t31 (= (tptp.backward_diamond @t22 @t27) (tptp.codomain (tptp.multiplication (tptp.codomain @t27) @t22))))) % 157.95/158.27 (assume @p25 (forall @t31 (= (tptp.forward_box @t22 @t27) (tptp.c (tptp.forward_diamond @t22 @t41))))) % 157.95/158.27 (assume @p26 (forall @t31 (= (tptp.backward_box @t22 @t27) (tptp.c (tptp.backward_diamond @t22 @t41))))) % 157.95/158.27 (assume @p27 @t44) % 157.95/158.27 (assume @p28 (forall (@list @t22 @t27 @t45) (=> (= (tptp.addition @t35 @t48) @t48) (= (tptp.addition @t35 @t47) @t47)))) % 157.95/158.27 (assume @p29 @t55) % 157.95/158.27 (assume @p30 true) % 157.95/158.27 (step @p31 :rule bool-impl-elim :args (@t56 @t57)) % 157.95/158.27 (step @p32 :rule cong :premises (@p31) :args ((forall @t25 (=> @t56 @t57)))) % 157.95/158.27 (step @p33 :rule eq-symm :args (@t42 tptp.zero)) % 157.95/158.27 (step @p34 :rule eq-symm :args (@t50 @t49)) % 157.95/158.27 (step @p35 :rule cong :premises (@p34) :args (@t52)) % 157.95/158.27 (step @p36 :rule cong :premises (@p35 @p33) :args (@t53)) % 157.95/158.27 (step @p37 :rule cong :premises (@p36) :args (@t54)) % 157.95/158.27 (step @p38 :rule trans :premises (@p37 @p32)) % 157.95/158.27 (step @p39 :rule cong :premises (@p38) :args (@t55)) % 157.95/158.27 (step @p40 :rule eq_resolve :premises (@p29 @p39)) % 157.95/158.27 (step @p41 :rule skolemize :premises (@p40)) % 157.95/158.27 (step @p42 :rule cnf_or_neg :args (@t65 1)) % 157.95/158.27 (step @p43 :rule chain_m_resolution :premises (@p42 @p41) :args ((not @t60) @t66 @t67)) % 157.95/158.27 (step @p44 :rule eq-symm :args (@t43 @t42)) % 157.95/158.27 (step @p45 :rule cong :premises (@p44) :args (@t44)) % 157.95/158.27 (step @p46 :rule eq_resolve :premises (@p27 @p45)) % 157.95/158.27 (step @p47 :rule instantiate :premises (@p46) :args (@t68)) % 157.95/158.27 (step @p48 :rule eq-symm :args (@t35 @t32)) % 157.95/158.27 (step @p49 :rule cong :premises (@p48) :args (@t36)) % 157.95/158.27 (step @p50 :rule eq_resolve :premises (@p16 @p49)) % 157.95/158.27 (step @p51 :rule instantiate :premises (@p50) :args (@t69)) % 157.95/158.27 (step @p52 :rule instantiate :premises (@p22) :args ((@list tptp.zero tptp.zero))) % 157.95/158.27 (step @p53 :rule instantiate :premises (@p46) :args (@t69)) % 157.95/158.27 (step @p54 :rule eq-symm :args (@t24 tptp.zero)) % 157.95/158.27 (step @p55 :rule cong :premises (@p54) :args (@t26)) % 157.95/158.27 (step @p56 :rule eq_resolve :premises (@p13 @p55)) % 157.95/158.27 (step @p57 :rule instantiate :premises (@p56) :args ((@list @t70))) % 157.95/158.27 (step @p58 :rule instantiate :premises (@p23) :args ((@list @t58 @t59))) % 157.95/158.27 (step @p59 :rule instantiate :premises (@p23) :args ((@list @t58 @t71))) % 157.95/158.27 (step @p60 :rule instantiate :premises (@p23) :args ((@list @t61 @t73))) % 157.95/158.27 (step @p61 :rule instantiate :premises (@p23) :args ((@list tptp.zero @t74))) % 157.95/158.27 (step @p62 :rule instantiate :premises (@p56) :args (@t75)) % 157.95/158.27 (step @p63 :rule eq-symm :args (@t18 tptp.zero)) % 157.95/158.27 (step @p64 :rule cong :premises (@p63) :args (@t19)) % 157.95/158.27 (step @p65 :rule eq_resolve :premises (@p10 @p64)) % 157.95/158.27 (step @p66 :rule instantiate :premises (@p65) :args (@t68)) % 157.95/158.27 (step @p67 :rule eq-symm :args (@t33 tptp.one)) % 157.95/158.27 (step @p68 :rule cong :premises (@p67) :args (@t34)) % 157.95/158.27 (step @p69 :rule eq_resolve :premises (@p15 @p68)) % 157.95/158.27 (step @p70 :rule instantiate :premises (@p69) :args (@t75)) % 157.95/158.27 (step @p71 :rule instantiate :premises (@p50) :args (@t75)) % 157.95/158.27 (step @p72 :rule eq-symm :args (@t20 tptp.zero)) % 157.95/158.27 (step @p73 :rule cong :premises (@p72) :args (@t21)) % 157.95/158.27 (step @p74 :rule eq_resolve :premises (@p11 @p73)) % 157.95/158.27 (step @p75 :rule instantiate :premises (@p74) :args ((@list @t76))) % 157.95/158.27 (step @p76 :rule eq-symm :args (@t13 @t1)) % 157.95/158.27 (step @p77 :rule cong :premises (@p76) :args (@t14)) % 157.95/158.27 (step @p78 :rule eq_resolve :premises (@p6 @p77)) % 157.95/158.27 (step @p79 :rule instantiate :premises (@p78) :args ((@list @t77))) % 157.95/158.27 (step @p80 :rule eq-symm :args (@t15 @t1)) % 157.95/158.27 (step @p81 :rule cong :premises (@p80) :args (@t16)) % 157.95/158.27 (step @p82 :rule eq_resolve :premises (@p7 @p81)) % 157.95/158.27 (step @p83 :rule instantiate :premises (@p82) :args ((@list @t78))) % 157.95/158.27 (step @p84 :rule eq-symm :args (@t7 @t1)) % 157.95/158.27 (step @p85 :rule cong :premises (@p84) :args (@t9)) % 157.95/158.27 (step @p86 :rule eq_resolve :premises (@p3 @p85)) % 157.95/158.27 (step @p87 :rule instantiate :premises (@p86) :args ((@list @t79))) % 157.95/158.27 (step @p88 :rule instantiate :premises (@p65) :args ((@list @t61))) % 157.95/158.27 (step @p89 :rule eq-symm :args (@t81 @t82)) % 157.95/158.27 (step @p90 :rule refl :args (@t83)) % 157.95/158.27 (step @p91 :rule cong :premises (@p90 @p89) :args ((=> @t83 @t84))) % 157.95/158.27 (assume-push @p235 @t83) % 157.95/158.27 (step @p93 :rule instantiate :premises (@p50) :args ((@list @t59))) % 157.95/158.27 (step-pop @p236 :rule scope :premises (@p93)) % 157.95/158.27 (step @p94 :rule process_scope :premises (@p236) :args (@t84)) % 157.95/158.27 (step @p96 :rule eq_resolve :premises (@p94 @p91)) % 157.95/158.27 (step @p97 :rule implies_elim :premises (@p96)) % 157.95/158.27 (step @p98 :rule chain_m_resolution :premises (@p97 @p50) :args (@t85 (@list false) (@list @t83))) % 157.95/158.27 (step @p99 :rule bool-double-not-elim :args (@t63)) % 157.95/158.27 (step @p100 :rule refl :args (@t65)) % 157.95/158.27 (step @p101 :rule nary_cong :premises (@p100 @p99) :args ((or @t65 (not @t64)))) % 157.95/158.27 (step @p102 :rule cnf_or_neg :args (@t65 0)) % 157.95/158.27 (step @p103 :rule eq_resolve :premises (@p102 @p101)) % 157.95/158.27 (step @p104 :rule reordering :premises (@p103) :args ((or @t63 @t65))) % 157.95/158.27 (step @p105 :rule chain_m_resolution :premises (@p104 @p41) :args (@t63 @t66 @t67)) % 157.95/158.27 (step @p106 :rule instantiate :premises (@p105) :args ((@list @t86))) % 157.95/158.27 (step @p107 :rule instantiate :premises (@p56) :args ((@list @t80))) % 157.95/158.27 (step @p108 :rule instantiate :premises (@p22) :args ((@list @t87 @t88))) % 157.95/158.27 (step @p109 :rule instantiate :premises (@p86) :args ((@list @t87))) % 157.95/158.27 (assume-push @p237 @t90) % 157.95/158.27 (assume-push @p238 @t92) % 157.95/158.27 (assume-push @p239 @t94) % 157.95/158.27 (assume-push @p240 @t96) % 157.95/158.27 (assume-push @p241 @t97) % 157.95/158.27 (assume-push @p242 @t98) % 157.95/158.27 (assume-push @p243 @t102) % 157.95/158.27 (assume-push @p244 @t106) % 157.95/158.27 (assume-push @p245 @t109) % 157.95/158.27 (assume-push @p246 @t111) % 157.95/158.27 (assume-push @p247 @t112) % 157.95/158.27 (assume-push @p248 @t113) % 157.95/158.27 (assume-push @p249 @t114) % 157.95/158.27 (assume-push @p250 @t115) % 157.95/158.27 (assume-push @p251 @t116) % 157.95/158.27 (assume-push @p252 @t117) % 157.95/158.27 (assume-push @p253 @t119) % 157.95/158.27 (assume-push @p254 @t120) % 157.95/158.27 (assume-push @p255 @t85) % 157.95/158.27 (assume-push @p256 @t124) % 157.95/158.27 (assume-push @p257 @t125) % 157.95/158.27 (assume-push @p258 @t129) % 157.95/158.27 (assume-push @p259 @t130) % 157.95/158.27 (step @p133 :rule symm :premises (@p47)) % 157.95/158.27 (step @p134 :rule symm :premises (@p58)) % 157.95/158.27 (step @p135 :rule symm :premises (@p109)) % 157.95/158.27 (step @p136 :rule symm :premises (@p62)) % 157.95/158.27 (step @p137 :rule symm :premises (@p70)) % 157.95/158.27 (step @p138 :rule symm :premises (@p79)) % 157.95/158.27 (step @p139 :rule trans :premises (@p62 @p138)) % 157.95/158.27 (step @p140 :rule refl :args (@t79)) % 157.95/158.27 (step @p141 :rule cong :premises (@p140 @p139) :args (@t118)) % 157.95/158.27 (step @p142 :rule symm :premises (@p71)) % 157.95/158.27 (step @p143 :rule symm :premises (@p83)) % 157.95/158.27 (step @p144 :rule refl :args (tptp.one)) % 157.95/158.27 (step @p145 :rule cong :premises (@p144 @p71) :args (@t131)) % 157.95/158.27 (step @p146 :rule trans :premises (@p145 @p143 @p142 @p87 @p141 @p137)) % 157.95/158.27 (step @p147 :rule cong :premises (@p146) :args ((tptp.antidomain @t131))) % 157.95/158.27 (step @p148 :rule symm :premises (@p145)) % 157.95/158.27 (step @p149 :rule cong :premises (@p139) :args (@t70)) % 157.95/158.27 (step @p150 :rule trans :premises (@p149 @p71 @p83 @p148)) % 157.95/158.27 (step @p151 :rule cong :premises (@p150) :args (@t91)) % 157.95/158.27 (step @p152 :rule symm :premises (@p51)) % 157.95/158.27 (step @p153 :rule symm :premises (@p88)) % 157.95/158.27 (step @p154 :rule symm :premises (@p57)) % 157.95/158.27 (step @p155 :rule refl :args (@t70)) % 157.95/158.27 (step @p156 :rule cong :premises (@p152 @p155) :args (@t93)) % 157.95/158.27 (step @p157 :rule symm :premises (@p66)) % 157.95/158.27 (step @p158 :rule symm :premises (@p75)) % 157.95/158.27 (step @p159 :rule cong :premises (@p158) :args (@t108)) % 157.95/158.27 (step @p160 :rule trans :premises (@p53 @p61 @p159 @p152 @p151 @p147 @p79 @p136)) % 157.95/158.27 (step @p161 :rule cong :premises (@p160) :args (@t76)) % 157.95/158.27 (step @p162 :rule symm :premises (@p53)) % 157.95/158.27 (step @p163 :rule symm :premises (@p61)) % 157.95/158.27 (step @p164 :rule symm :premises (@p159)) % 157.95/158.27 (step @p165 :rule trans :premises (@p164 @p163 @p162)) % 157.95/158.27 (step @p166 :rule cong :premises (@p165) :args (@t99)) % 157.95/158.27 (step @p167 :rule trans :premises (@p166 @p161 @p152 @p151 @p147 @p79 @p136)) % 157.95/158.27 (step @p168 :rule refl :args (@t58)) % 157.95/158.27 (step @p169 :rule cong :premises (@p168 @p167) :args (@t100)) % 157.95/158.27 (step @p170 :rule trans :premises (@p169 @p157)) % 157.95/158.27 (step @p171 :rule cong :premises (@p170) :args (@t101)) % 157.95/158.27 (step @p172 :rule trans :premises (@p59 @p171 @p152 @p151 @p147 @p79 @p136)) % 157.95/158.27 (step @p173 :rule trans :premises (@p152 @p151 @p147 @p79 @p136)) % 157.95/158.27 (step @p174 :rule cong :premises (@p173 @p172) :args (@t73)) % 157.95/158.27 (step @p175 :rule trans :premises (@p174 @p52 @p156 @p154)) % 157.95/158.27 (step @p176 :rule cong :premises (@p175) :args (@t103)) % 157.95/158.27 (step @p177 :rule trans :premises (@p176 @p152 @p151 @p147 @p79 @p136)) % 157.95/158.27 (step @p178 :rule refl :args (@t61)) % 157.95/158.27 (step @p179 :rule cong :premises (@p178 @p177) :args (@t104)) % 157.95/158.27 (step @p180 :rule trans :premises (@p179 @p153)) % 157.95/158.27 (step @p181 :rule cong :premises (@p180) :args (@t105)) % 157.95/158.27 (step @p182 :rule symm :premises (@p174)) % 157.95/158.27 (step @p183 :rule symm :premises (@p52)) % 157.95/158.27 (step @p184 :rule symm :premises (@p156)) % 157.95/158.27 (step @p185 :rule symm :premises (@p107)) % 157.95/158.27 (step @p186 :rule trans :premises (@p134 @p133)) % 157.95/158.27 (step @p187 :rule cong :premises (@p186) :args ((tptp.antidomain @t87))) % 157.95/158.27 (step @p188 :rule cong :premises (@p168 @p186) :args (@t88)) % 157.95/158.27 (step @p189 :rule trans :premises (@p188 @p58)) % 157.95/158.27 (step @p190 :rule cong :premises (@p189) :args (@t126)) % 157.95/158.27 (step @p191 :rule trans :premises (@p190 @p187)) % 157.95/158.27 (step @p192 :rule cong :premises (@p186) :args (@t127)) % 157.95/158.27 (step @p193 :rule trans :premises (@p192 @p98)) % 157.95/158.27 (step @p194 :rule cong :premises (@p193 @p191) :args (@t128)) % 157.95/158.27 (step @p195 :rule trans :premises (@p108 @p194 @p185 @p57 @p184 @p183 @p182)) % 157.95/158.27 (step @p196 :rule cong :premises (@p178 @p195) :args (@t122)) % 157.95/158.27 (step @p197 :rule trans :premises (@p196 @p60 @p181 @p152 @p151 @p147 @p79 @p136)) % 157.95/158.27 (step @p198 :rule refl :args (@t87)) % 157.95/158.27 (step @p199 :rule cong :premises (@p198 @p197) :args (@t123)) % 157.95/158.27 (step @p200 :rule symm :premises (@p196)) % 157.95/158.27 (step @p201 :rule symm :premises (@p60)) % 157.95/158.27 (step @p202 :rule symm :premises (@p181)) % 157.95/158.27 (step @p203 :rule symm :premises (@p151)) % 157.95/158.27 (step @p204 :rule symm :premises (@p147)) % 157.95/158.27 (step @p205 :rule trans :premises (@p62 @p138 @p204 @p203 @p51 @p202 @p201 @p200 @p106 @p199 @p135 @p134 @p133)) % 157.95/158.27 (step-pop @p260 :rule scope :premises (@p205)) % 157.95/158.27 (step-pop @p261 :rule scope :premises (@p260)) % 157.95/158.27 (step-pop @p262 :rule scope :premises (@p261)) % 157.95/158.27 (step-pop @p263 :rule scope :premises (@p262)) % 157.95/158.27 (step-pop @p264 :rule scope :premises (@p263)) % 157.95/158.27 (step-pop @p265 :rule scope :premises (@p264)) % 157.95/158.27 (step-pop @p266 :rule scope :premises (@p265)) % 157.95/158.27 (step-pop @p267 :rule scope :premises (@p266)) % 157.95/158.27 (step-pop @p268 :rule scope :premises (@p267)) % 157.95/158.27 (step-pop @p269 :rule scope :premises (@p268)) % 157.95/158.27 (step-pop @p270 :rule scope :premises (@p269)) % 157.95/158.27 (step-pop @p271 :rule scope :premises (@p270)) % 157.95/158.27 (step-pop @p272 :rule scope :premises (@p271)) % 157.95/158.27 (step-pop @p273 :rule scope :premises (@p272)) % 157.95/158.27 (step-pop @p274 :rule scope :premises (@p273)) % 157.95/158.27 (step-pop @p275 :rule scope :premises (@p274)) % 157.95/158.27 (step-pop @p276 :rule scope :premises (@p275)) % 157.95/158.27 (step-pop @p277 :rule scope :premises (@p276)) % 157.95/158.27 (step-pop @p278 :rule scope :premises (@p277)) % 157.95/158.27 (step-pop @p279 :rule scope :premises (@p278)) % 157.95/158.27 (step-pop @p280 :rule scope :premises (@p279)) % 157.95/158.27 (step-pop @p281 :rule scope :premises (@p280)) % 157.95/158.27 (step-pop @p282 :rule scope :premises (@p281)) % 157.95/158.27 (step @p206 :rule process_scope :premises (@p282) :args (@t60)) % 157.95/158.27 (step @p230 :rule implies_elim :premises (@p206)) % 157.95/158.27 (step @p231 :rule cnf_and_neg :args (@t132)) % 157.95/158.27 (step @p232 :rule resolution :premises (@p231 @p230) :args (true @t132)) % 157.95/158.27 (step @p233 :rule reordering :premises (@p232) :args ((or @t60 (not @t90) (not @t92) (not @t94) (not @t96) (not @t97) (not @t98) (not @t102) (not @t106) (not @t109) (not @t111) (not @t112) (not @t113) (not @t114) (not @t115) (not @t116) (not @t117) (not @t119) (not @t120) (not @t85) (not @t124) (not @t125) (not @t129) (not @t130)))) % 157.95/158.27 (step @p234 false :rule chain_m_resolution :premises (@p233 @p109 @p108 @p107 @p106 @p98 @p88 @p87 @p83 @p79 @p75 @p71 @p70 @p66 @p62 @p61 @p60 @p59 @p58 @p57 @p53 @p52 @p51 @p47 @p43) :args (false (@list false false false false false false false false false false false false false false false false false false false false false false false true) (@list @t130 @t129 @t125 @t124 @t85 @t120 @t119 @t117 @t116 @t115 @t114 @t113 @t112 @t111 @t109 @t106 @t102 @t98 @t97 @t96 @t94 @t92 @t90 @t60))) % 157.95/158.27 ) % 157.95/158.27 % SZS output end Proof % 157.95/158.27 % cvc5 exiting %------------------------------------------------------------------------------