%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWW431-1 : TPTP v9.2.1. Released v5.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n004.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 09:04:55 AM UTC 2026 % Result : Unsatisfiable 77.50s 77.75s % Output : Proof 77.50s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWW431-1 : TPTP v9.2.1. Released v5.2.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n004.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 21:57:52 EDT 2026 % 0.15/0.34 % CPUTime : % 0.29/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.29/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.34/15.72 --- Run --no-e-matching --full-saturate-quant at 6... % 21.52/21.75 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 27.54/27.78 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 33.74/33.92 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 63.94/64.18 --- Run --trigger-sel=max --full-saturate-quant at 15... % 77.50/77.75 % SZS status Unsatisfiable % 77.50/77.75 % SZS output start Proof % 77.50/77.76 ( % 77.50/77.76 (declare-sort $$unsorted 0) % 77.50/77.76 (declare-const tptp.x4 $$unsorted) % 77.50/77.76 (declare-const tptp.x10 $$unsorted) % 77.50/77.76 (declare-const tptp.sep (-> $$unsorted $$unsorted $$unsorted)) % 77.50/77.76 (declare-const tptp.nil $$unsorted) % 77.50/77.76 (declare-const tptp.x2 $$unsorted) % 77.50/77.76 (declare-const tptp.lseg (-> $$unsorted $$unsorted $$unsorted)) % 77.50/77.76 (declare-const tptp.x12 $$unsorted) % 77.50/77.76 (declare-const tptp.emp $$unsorted) % 77.50/77.76 (declare-const tptp.x13 $$unsorted) % 77.50/77.76 (declare-const tptp.x1 $$unsorted) % 77.50/77.76 (declare-const tptp.heap (-> $$unsorted Bool)) % 77.50/77.76 (declare-const tptp.x9 $$unsorted) % 77.50/77.76 (declare-const tptp.x8 $$unsorted) % 77.50/77.76 (declare-const tptp.x5 $$unsorted) % 77.50/77.76 (declare-const tptp.next (-> $$unsorted $$unsorted $$unsorted)) % 77.50/77.76 (declare-const tptp.x7 $$unsorted) % 77.50/77.76 (declare-const tptp.x6 $$unsorted) % 77.50/77.76 (declare-const tptp.x3 $$unsorted) % 77.50/77.76 (declare-const tptp.x11 $$unsorted) % 77.50/77.76 (define @t1 () (@var "Sigma" $$unsorted)) % 77.50/77.76 (define @t2 () (@var "S" $$unsorted)) % 77.50/77.76 (define @t3 () (@var "T" $$unsorted)) % 77.50/77.76 (define @t4 () (forall (@list @t2 @t3 @t1) (= (tptp.sep @t2 (tptp.sep @t3 @t1)) (tptp.sep @t3 (tptp.sep @t2 @t1))))) % 77.50/77.76 (define @t5 () (@var "X" $$unsorted)) % 77.50/77.76 (define @t6 () (@var "Y" $$unsorted)) % 77.50/77.76 (define @t7 () (@list @t6 @t1)) % 77.50/77.76 (define @t8 () (@var "Z" $$unsorted)) % 77.50/77.76 (define @t9 () (tptp.next @t5 @t6)) % 77.50/77.76 (define @t10 () (@list @t5 @t6 @t8 @t1)) % 77.50/77.76 (define @t11 () (= @t5 @t8)) % 77.50/77.76 (define @t12 () (tptp.lseg @t5 @t8)) % 77.50/77.76 (define @t13 () (tptp.sep @t12 @t1)) % 77.50/77.76 (define @t14 () (= @t5 @t6)) % 77.50/77.76 (define @t15 () (tptp.lseg @t5 @t6)) % 77.50/77.76 (define @t16 () (forall @t10 (or (not (tptp.heap (tptp.sep @t15 @t13))) @t14 @t11))) % 77.50/77.76 (define @t17 () (tptp.lseg @t6 @t8)) % 77.50/77.76 (define @t18 () (@var "W" $$unsorted)) % 77.50/77.76 (define @t19 () (tptp.sep (tptp.next @t8 @t18) @t1)) % 77.50/77.76 (define @t20 () (@list @t5 @t6 @t8 @t18 @t1)) % 77.50/77.76 (define @t21 () (tptp.sep (tptp.lseg @t8 @t18) @t1)) % 77.50/77.76 (define @t22 () (= tptp.x7 tptp.x11)) % 77.50/77.76 (define @t23 () (tptp.sep (tptp.lseg tptp.x11 tptp.x1) tptp.emp)) % 77.50/77.76 (define @t24 () (tptp.lseg tptp.x11 tptp.x7)) % 77.50/77.76 (define @t25 () (tptp.lseg tptp.x11 tptp.x12)) % 77.50/77.76 (define @t26 () (tptp.sep @t25 (tptp.sep @t24 @t23))) % 77.50/77.76 (define @t27 () (tptp.lseg tptp.x7 tptp.x10)) % 77.50/77.76 (define @t28 () (tptp.sep @t27 @t26)) % 77.50/77.76 (define @t29 () (tptp.lseg tptp.x9 tptp.x2)) % 77.50/77.76 (define @t30 () (tptp.sep @t29 @t28)) % 77.50/77.76 (define @t31 () (tptp.lseg tptp.x12 tptp.x7)) % 77.50/77.76 (define @t32 () (tptp.lseg tptp.x2 tptp.x9)) % 77.50/77.76 (define @t33 () (tptp.sep @t32 (tptp.sep @t31 @t30))) % 77.50/77.76 (define @t34 () (tptp.lseg tptp.x4 tptp.x9)) % 77.50/77.76 (define @t35 () (tptp.sep @t34 @t33)) % 77.50/77.76 (define @t36 () (tptp.lseg tptp.x1 tptp.x11)) % 77.50/77.76 (define @t37 () (tptp.sep @t36 @t35)) % 77.50/77.76 (define @t38 () (tptp.lseg tptp.x13 tptp.x8)) % 77.50/77.76 (define @t39 () (tptp.sep @t38 @t37)) % 77.50/77.76 (define @t40 () (tptp.lseg tptp.x10 tptp.x8)) % 77.50/77.76 (define @t41 () (tptp.sep @t40 @t39)) % 77.50/77.76 (define @t42 () (tptp.lseg tptp.x5 tptp.x3)) % 77.50/77.76 (define @t43 () (tptp.sep @t42 @t41)) % 77.50/77.76 (define @t44 () (tptp.heap @t43)) % 77.50/77.76 (define @t45 () (tptp.sep @t25 @t23)) % 77.50/77.76 (define @t46 () (tptp.sep @t27 @t45)) % 77.50/77.76 (define @t47 () (tptp.sep @t29 @t46)) % 77.50/77.76 (define @t48 () (tptp.sep @t34 @t47)) % 77.50/77.76 (define @t49 () (tptp.sep @t32 @t48)) % 77.50/77.76 (define @t50 () (tptp.sep @t40 @t49)) % 77.50/77.76 (define @t51 () (tptp.sep @t42 @t50)) % 77.50/77.76 (define @t52 () (tptp.sep @t38 @t51)) % 77.50/77.76 (define @t53 () (tptp.sep @t36 @t52)) % 77.50/77.76 (define @t54 () (not (tptp.heap (tptp.sep @t24 (tptp.sep @t24 @t53))))) % 77.50/77.76 (define @t55 () (= tptp.x11 tptp.x7)) % 77.50/77.76 (define @t56 () (or @t54 @t55 @t55)) % 77.50/77.76 (define @t57 () (or @t54 @t22 @t22)) % 77.50/77.76 (define @t58 () (@list false)) % 77.50/77.76 (define @t59 () (@list @t16)) % 77.50/77.76 (define @t60 () (tptp.sep @t24 @t45)) % 77.50/77.76 (define @t61 () (= @t60 @t26)) % 77.50/77.76 (define @t62 () (@list @t24 @t25 @t23)) % 77.50/77.76 (define @t63 () (@list @t4)) % 77.50/77.76 (define @t64 () (tptp.sep @t34 @t30)) % 77.50/77.76 (define @t65 () (tptp.sep @t32 @t64)) % 77.50/77.76 (define @t66 () (tptp.sep @t32 @t30)) % 77.50/77.76 (define @t67 () (tptp.sep @t34 @t66)) % 77.50/77.76 (define @t68 () (= @t65 @t67)) % 77.50/77.76 (define @t69 () (tptp.sep @t40 @t67)) % 77.50/77.76 (define @t70 () (tptp.sep @t42 @t67)) % 77.50/77.76 (define @t71 () (tptp.sep @t38 (tptp.sep @t40 @t70))) % 77.50/77.76 (define @t72 () (tptp.sep @t40 (tptp.sep @t38 @t70))) % 77.50/77.76 (define @t73 () (= @t71 @t72)) % 77.50/77.76 (define @t74 () (tptp.sep @t38 @t67)) % 77.50/77.76 (define @t75 () (tptp.sep @t38 @t69)) % 77.50/77.76 (define @t76 () (tptp.sep @t42 @t75)) % 77.50/77.76 (define @t77 () (tptp.sep @t36 @t69)) % 77.50/77.76 (define @t78 () (tptp.sep @t36 @t67)) % 77.50/77.76 (define @t79 () (tptp.sep @t40 @t78)) % 77.50/77.76 (define @t80 () (= @t77 @t79)) % 77.50/77.76 (define @t81 () (tptp.sep @t38 @t78)) % 77.50/77.76 (define @t82 () (tptp.sep @t40 @t81)) % 77.50/77.76 (define @t83 () (tptp.sep @t42 @t82)) % 77.50/77.76 (define @t84 () (tptp.sep @t29 @t23)) % 77.50/77.76 (define @t85 () (tptp.sep @t27 @t84)) % 77.50/77.76 (define @t86 () (tptp.sep @t34 @t85)) % 77.50/77.76 (define @t87 () (tptp.sep @t31 @t86)) % 77.50/77.76 (define @t88 () (tptp.sep @t40 @t87)) % 77.50/77.76 (define @t89 () (tptp.sep @t36 @t88)) % 77.50/77.76 (define @t90 () (tptp.sep @t42 @t89)) % 77.50/77.76 (define @t91 () (tptp.sep @t38 @t90)) % 77.50/77.76 (define @t92 () (tptp.sep @t32 @t91)) % 77.50/77.76 (define @t93 () (tptp.sep @t24 (tptp.sep @t25 @t92))) % 77.50/77.76 (define @t94 () (tptp.heap @t93)) % 77.50/77.76 (define @t95 () (not @t94)) % 77.50/77.76 (define @t96 () (or @t95 @t55 (= tptp.x11 tptp.x12))) % 77.50/77.76 (define @t97 () (= tptp.x12 tptp.x11)) % 77.50/77.76 (define @t98 () (or @t95 @t22 @t97)) % 77.50/77.76 (define @t99 () (tptp.sep @t31 @t47)) % 77.50/77.76 (define @t100 () (tptp.sep @t32 @t99)) % 77.50/77.76 (define @t101 () (tptp.sep @t34 @t100)) % 77.50/77.76 (define @t102 () (tptp.sep @t36 @t101)) % 77.50/77.76 (define @t103 () (tptp.sep @t38 @t102)) % 77.50/77.76 (define @t104 () (tptp.sep @t42 @t103)) % 77.50/77.76 (define @t105 () (tptp.sep @t34 @t99)) % 77.50/77.76 (define @t106 () (tptp.sep @t36 (tptp.sep @t32 @t105))) % 77.50/77.76 (define @t107 () (tptp.sep @t36 @t105)) % 77.50/77.76 (define @t108 () (tptp.sep @t32 @t107)) % 77.50/77.76 (define @t109 () (= @t106 @t108)) % 77.50/77.76 (define @t110 () (tptp.sep @t38 @t108)) % 77.50/77.76 (define @t111 () (tptp.sep @t38 @t107)) % 77.50/77.76 (define @t112 () (tptp.sep @t32 @t111)) % 77.50/77.76 (define @t113 () (= @t110 @t112)) % 77.50/77.76 (define @t114 () (tptp.sep @t40 @t112)) % 77.50/77.76 (define @t115 () (tptp.sep @t40 @t111)) % 77.50/77.76 (define @t116 () (tptp.sep @t32 @t115)) % 77.50/77.76 (define @t117 () (= @t114 @t116)) % 77.50/77.76 (define @t118 () (tptp.sep @t42 @t116)) % 77.50/77.76 (define @t119 () (tptp.sep @t32 (tptp.sep @t42 @t115))) % 77.50/77.76 (define @t120 () (= @t118 @t119)) % 77.50/77.76 (define @t121 () (tptp.sep @t40 @t107)) % 77.50/77.76 (define @t122 () (tptp.sep @t42 (tptp.sep @t38 @t121))) % 77.50/77.76 (define @t123 () (tptp.sep @t38 (tptp.sep @t42 @t121))) % 77.50/77.76 (define @t124 () (= @t122 @t123)) % 77.50/77.76 (define @t125 () (tptp.sep @t31 @t66)) % 77.50/77.76 (define @t126 () (= @t125 @t33)) % 77.50/77.76 (assume @p1 @t4) % 77.50/77.76 (assume @p2 (forall (@list @t5 @t1) (= (tptp.sep (tptp.lseg @t5 @t5) @t1) @t1))) % 77.50/77.76 (assume @p3 (forall @t7 (not (tptp.heap (tptp.sep (tptp.next tptp.nil @t6) @t1))))) % 77.50/77.76 (assume @p4 (forall @t7 (or (not (tptp.heap (tptp.sep (tptp.lseg tptp.nil @t6) @t1))) (= @t6 tptp.nil)))) % 77.50/77.76 (assume @p5 (forall @t10 (not (tptp.heap (tptp.sep @t9 (tptp.sep (tptp.next @t5 @t8) @t1)))))) % 77.50/77.76 (assume @p6 (forall @t10 (or (not (tptp.heap (tptp.sep @t9 @t13))) @t11))) % 77.50/77.76 (assume @p7 @t16) % 77.50/77.76 (assume @p8 (forall @t10 (or (not (tptp.heap (tptp.sep @t9 (tptp.sep @t17 @t1)))) @t14 (tptp.heap @t13)))) % 77.50/77.76 (assume @p9 (forall (@list @t5 @t6 @t1) (or (not (tptp.heap (tptp.sep @t15 (tptp.sep (tptp.lseg @t6 tptp.nil) @t1)))) (tptp.heap (tptp.sep (tptp.lseg @t5 tptp.nil) @t1))))) % 77.50/77.76 (assume @p10 (forall @t20 (or (not (tptp.heap (tptp.sep @t15 (tptp.sep @t17 @t19)))) (tptp.heap (tptp.sep @t12 @t19))))) % 77.50/77.76 (assume @p11 (forall @t20 (or (not (tptp.heap (tptp.sep @t15 (tptp.sep @t17 @t21)))) (= @t8 @t18) (tptp.heap (tptp.sep @t12 @t21))))) % 77.50/77.76 (assume @p12 (not (= tptp.x8 tptp.x12))) % 77.50/77.76 (assume @p13 (not (= tptp.x6 tptp.x7))) % 77.50/77.76 (assume @p14 (not (= tptp.x6 tptp.x13))) % 77.50/77.76 (assume @p15 (not (= tptp.x3 tptp.x8))) % 77.50/77.76 (assume @p16 (not (= tptp.x3 tptp.x5))) % 77.50/77.76 (assume @p17 (not (= tptp.x7 tptp.x8))) % 77.50/77.76 (assume @p18 (not @t22)) % 77.50/77.76 (assume @p19 (not (= tptp.x10 tptp.x11))) % 77.50/77.76 (assume @p20 (not (= tptp.x2 tptp.x6))) % 77.50/77.76 (assume @p21 (not (= tptp.x2 tptp.x3))) % 77.50/77.76 (assume @p22 (not (= tptp.x2 tptp.x9))) % 77.50/77.76 (assume @p23 (not (= tptp.x5 tptp.x7))) % 77.50/77.76 (assume @p24 @t44) % 77.50/77.76 (assume @p25 (or (= tptp.x1 tptp.x1) (not (tptp.heap tptp.emp)))) % 77.50/77.76 (step @p26 :rule evaluate :args ((= true false))) % 77.50/77.76 (step @p27 :rule eq-symm :args (tptp.x11 tptp.x7)) % 77.50/77.76 (step @p28 :rule refl :args (@t54)) % 77.50/77.76 (step @p29 :rule nary_cong :premises (@p28 @p27 @p27) :args (@t56)) % 77.50/77.76 (step @p30 :rule refl :args (@t16)) % 77.50/77.76 (step @p31 :rule cong :premises (@p30 @p29) :args ((=> @t16 @t56))) % 77.50/77.76 (assume-push @p306 @t16) % 77.50/77.76 (step @p33 :rule instantiate :premises (@p7) :args ((@list tptp.x11 tptp.x7 tptp.x7 @t53))) % 77.50/77.76 (step-pop @p307 :rule scope :premises (@p33)) % 77.50/77.76 (step @p34 :rule process_scope :premises (@p307) :args (@t56)) % 77.50/77.76 (step @p36 :rule eq_resolve :premises (@p34 @p31)) % 77.50/77.76 (step @p37 :rule implies_elim :premises (@p36)) % 77.50/77.76 (step @p38 :rule chain_m_resolution :premises (@p37 @p7) :args (@t57 @t58 @t59)) % 77.50/77.76 (step @p39 :rule cnf_or_pos :args (@t57)) % 77.50/77.76 (step @p40 :rule factoring :premises (@p39)) % 77.50/77.76 (step @p41 :rule reordering :premises (@p40) :args ((or @t22 @t54 (not @t57)))) % 77.50/77.76 (step @p42 :rule chain_m_resolution :premises (@p41 @p18 @p38) :args (@t54 (@list true false) (@list @t22 @t57))) % 77.50/77.76 (step @p43 :rule false_intro :premises (@p42)) % 77.50/77.76 (step @p44 :rule instantiate :premises (@p1) :args ((@list @t24 @t36 @t52))) % 77.50/77.76 (step @p45 :rule symm :premises (@p44)) % 77.50/77.76 (step @p46 :rule instantiate :premises (@p1) :args ((@list @t24 @t38 @t51))) % 77.50/77.76 (step @p47 :rule symm :premises (@p46)) % 77.50/77.76 (step @p48 :rule instantiate :premises (@p1) :args ((@list @t24 @t42 @t50))) % 77.50/77.76 (step @p49 :rule symm :premises (@p48)) % 77.50/77.76 (step @p50 :rule instantiate :premises (@p1) :args ((@list @t24 @t40 @t49))) % 77.50/77.76 (step @p51 :rule symm :premises (@p50)) % 77.50/77.76 (step @p52 :rule instantiate :premises (@p1) :args ((@list @t24 @t32 @t48))) % 77.50/77.76 (step @p53 :rule symm :premises (@p52)) % 77.50/77.76 (step @p54 :rule instantiate :premises (@p1) :args ((@list @t24 @t34 @t47))) % 77.50/77.76 (step @p55 :rule symm :premises (@p54)) % 77.50/77.76 (step @p56 :rule instantiate :premises (@p1) :args ((@list @t24 @t29 @t46))) % 77.50/77.76 (step @p57 :rule symm :premises (@p56)) % 77.50/77.76 (step @p58 :rule instantiate :premises (@p1) :args ((@list @t24 @t27 @t45))) % 77.50/77.76 (step @p59 :rule symm :premises (@p58)) % 77.50/77.76 (step @p60 :rule eq-symm :args (@t60 @t26)) % 77.50/77.76 (step @p61 :rule refl :args (@t4)) % 77.50/77.76 (step @p62 :rule cong :premises (@p61 @p60) :args ((=> @t4 @t61))) % 77.50/77.76 (assume-push @p308 @t4) % 77.50/77.76 (step @p64 :rule instantiate :premises (@p1) :args (@t62)) % 77.50/77.76 (step-pop @p309 :rule scope :premises (@p64)) % 77.50/77.76 (step @p65 :rule process_scope :premises (@p309) :args (@t61)) % 77.50/77.76 (step @p67 :rule eq_resolve :premises (@p65 @p62)) % 77.50/77.76 (step @p68 :rule implies_elim :premises (@p67)) % 77.50/77.76 (step @p69 :rule chain_m_resolution :premises (@p68 @p1) :args ((= @t26 @t60) @t58 @t63)) % 77.50/77.76 (step @p70 :rule refl :args (@t27)) % 77.50/77.76 (step @p71 :rule cong :premises (@p70 @p69) :args (@t28)) % 77.50/77.76 (step @p72 :rule trans :premises (@p71 @p59)) % 77.50/77.76 (step @p73 :rule refl :args (@t29)) % 77.50/77.76 (step @p74 :rule cong :premises (@p73 @p72) :args (@t30)) % 77.50/77.76 (step @p75 :rule trans :premises (@p74 @p57)) % 77.50/77.76 (step @p76 :rule refl :args (@t34)) % 77.50/77.76 (step @p77 :rule cong :premises (@p76 @p75) :args (@t64)) % 77.50/77.76 (step @p78 :rule trans :premises (@p77 @p55)) % 77.50/77.76 (step @p79 :rule refl :args (@t32)) % 77.50/77.76 (step @p80 :rule cong :premises (@p79 @p78) :args (@t65)) % 77.50/77.76 (step @p81 :rule eq-symm :args (@t65 @t67)) % 77.50/77.76 (step @p82 :rule cong :premises (@p61 @p81) :args ((=> @t4 @t68))) % 77.50/77.76 (assume-push @p310 @t4) % 77.50/77.76 (step @p84 :rule instantiate :premises (@p1) :args ((@list @t32 @t34 @t30))) % 77.50/77.76 (step-pop @p311 :rule scope :premises (@p84)) % 77.50/77.76 (step @p85 :rule process_scope :premises (@p311) :args (@t68)) % 77.50/77.76 (step @p87 :rule eq_resolve :premises (@p85 @p82)) % 77.50/77.76 (step @p88 :rule implies_elim :premises (@p87)) % 77.50/77.76 (step @p89 :rule chain_m_resolution :premises (@p88 @p1) :args ((= @t67 @t65) @t58 @t63)) % 77.50/77.76 (step @p90 :rule trans :premises (@p89 @p80 @p53)) % 77.50/77.76 (step @p91 :rule refl :args (@t40)) % 77.50/77.76 (step @p92 :rule cong :premises (@p91 @p90) :args (@t69)) % 77.50/77.76 (step @p93 :rule trans :premises (@p92 @p51)) % 77.50/77.76 (step @p94 :rule refl :args (@t42)) % 77.50/77.76 (step @p95 :rule cong :premises (@p94 @p93) :args ((tptp.sep @t42 @t69))) % 77.50/77.76 (step @p96 :rule instantiate :premises (@p1) :args ((@list @t40 @t42 @t67))) % 77.50/77.76 (step @p97 :rule trans :premises (@p96 @p95 @p49)) % 77.50/77.76 (step @p98 :rule refl :args (@t38)) % 77.50/77.76 (step @p99 :rule cong :premises (@p98 @p97) :args (@t71)) % 77.50/77.76 (step @p100 :rule eq-symm :args (@t71 @t72)) % 77.50/77.76 (step @p101 :rule cong :premises (@p61 @p100) :args ((=> @t4 @t73))) % 77.50/77.76 (assume-push @p312 @t4) % 77.50/77.76 (step @p103 :rule instantiate :premises (@p1) :args ((@list @t38 @t40 @t70))) % 77.50/77.76 (step-pop @p313 :rule scope :premises (@p103)) % 77.50/77.76 (step @p104 :rule process_scope :premises (@p313) :args (@t73)) % 77.50/77.76 (step @p106 :rule eq_resolve :premises (@p104 @p101)) % 77.50/77.76 (step @p107 :rule implies_elim :premises (@p106)) % 77.50/77.76 (step @p108 :rule chain_m_resolution :premises (@p107 @p1) :args ((= @t72 @t71) @t58 @t63)) % 77.50/77.76 (step @p109 :rule instantiate :premises (@p1) :args ((@list @t42 @t38 @t67))) % 77.50/77.76 (step @p110 :rule cong :premises (@p91 @p109) :args ((tptp.sep @t40 (tptp.sep @t42 @t74)))) % 77.50/77.76 (step @p111 :rule instantiate :premises (@p1) :args ((@list @t42 @t40 @t74))) % 77.50/77.76 (step @p112 :rule instantiate :premises (@p1) :args ((@list @t38 @t40 @t67))) % 77.50/77.76 (step @p113 :rule cong :premises (@p94 @p112) :args (@t76)) % 77.50/77.76 (step @p114 :rule trans :premises (@p113 @p111 @p110 @p108 @p99 @p47)) % 77.50/77.76 (step @p115 :rule refl :args (@t36)) % 77.50/77.76 (step @p116 :rule cong :premises (@p115 @p114) :args ((tptp.sep @t36 @t76))) % 77.50/77.76 (step @p117 :rule instantiate :premises (@p1) :args ((@list @t36 @t42 @t75))) % 77.50/77.76 (step @p118 :rule symm :premises (@p117)) % 77.50/77.76 (step @p119 :rule instantiate :premises (@p1) :args ((@list @t36 @t38 @t69))) % 77.50/77.76 (step @p120 :rule symm :premises (@p119)) % 77.50/77.76 (step @p121 :rule eq-symm :args (@t77 @t79)) % 77.50/77.76 (step @p122 :rule cong :premises (@p61 @p121) :args ((=> @t4 @t80))) % 77.50/77.76 (assume-push @p314 @t4) % 77.50/77.76 (step @p124 :rule instantiate :premises (@p1) :args ((@list @t36 @t40 @t67))) % 77.50/77.76 (step-pop @p315 :rule scope :premises (@p124)) % 77.50/77.76 (step @p125 :rule process_scope :premises (@p315) :args (@t80)) % 77.50/77.76 (step @p127 :rule eq_resolve :premises (@p125 @p122)) % 77.50/77.76 (step @p128 :rule implies_elim :premises (@p127)) % 77.50/77.76 (step @p129 :rule chain_m_resolution :premises (@p128 @p1) :args ((= @t79 @t77) @t58 @t63)) % 77.50/77.76 (step @p130 :rule cong :premises (@p98 @p129) :args ((tptp.sep @t38 @t79))) % 77.50/77.76 (step @p131 :rule instantiate :premises (@p1) :args ((@list @t40 @t38 @t78))) % 77.50/77.76 (step @p132 :rule trans :premises (@p131 @p130 @p120)) % 77.50/77.76 (step @p133 :rule cong :premises (@p94 @p132) :args (@t83)) % 77.50/77.76 (step @p134 :rule trans :premises (@p133 @p118 @p116 @p45)) % 77.50/77.76 (step @p135 :rule refl :args (tptp.x7)) % 77.50/77.76 (step @p136 :rule eq-symm :args (tptp.x11 tptp.x12)) % 77.50/77.76 (step @p137 :rule refl :args (@t95)) % 77.50/77.76 (step @p138 :rule nary_cong :premises (@p137 @p27 @p136) :args (@t96)) % 77.50/77.76 (step @p139 :rule cong :premises (@p30 @p138) :args ((=> @t16 @t96))) % 77.50/77.76 (assume-push @p316 @t16) % 77.50/77.76 (step @p141 :rule instantiate :premises (@p7) :args ((@list tptp.x11 tptp.x7 tptp.x12 @t92))) % 77.50/77.76 (step-pop @p317 :rule scope :premises (@p141)) % 77.50/77.76 (step @p142 :rule process_scope :premises (@p317) :args (@t96)) % 77.50/77.76 (step @p144 :rule eq_resolve :premises (@p142 @p139)) % 77.50/77.76 (step @p145 :rule implies_elim :premises (@p144)) % 77.50/77.76 (step @p146 :rule chain_m_resolution :premises (@p145 @p7) :args (@t98 @t58 @t59)) % 77.50/77.76 (step @p147 :rule true_intro :premises (@p24)) % 77.50/77.76 (step @p148 :rule instantiate :premises (@p1) :args ((@list @t40 @t42 @t39))) % 77.50/77.76 (step @p64 :rule instantiate :premises (@p1) :args (@t62)) % 77.50/77.76 (step @p149 :rule cong :premises (@p70 @p64) :args ((tptp.sep @t27 @t60))) % 77.50/77.76 (step @p150 :rule trans :premises (@p58 @p149)) % 77.50/77.76 (step @p151 :rule cong :premises (@p73 @p150) :args ((tptp.sep @t29 (tptp.sep @t24 @t46)))) % 77.50/77.76 (step @p152 :rule trans :premises (@p56 @p151)) % 77.50/77.76 (step @p153 :rule refl :args (@t31)) % 77.50/77.76 (step @p154 :rule cong :premises (@p153 @p152) :args ((tptp.sep @t31 (tptp.sep @t24 @t47)))) % 77.50/77.76 (step @p155 :rule instantiate :premises (@p1) :args ((@list @t24 @t31 @t47))) % 77.50/77.76 (step @p156 :rule trans :premises (@p155 @p154)) % 77.50/77.76 (step @p157 :rule cong :premises (@p79 @p156) :args ((tptp.sep @t32 (tptp.sep @t24 @t99)))) % 77.50/77.76 (step @p158 :rule instantiate :premises (@p1) :args ((@list @t24 @t32 @t99))) % 77.50/77.76 (step @p159 :rule trans :premises (@p158 @p157)) % 77.50/77.76 (step @p160 :rule cong :premises (@p76 @p159) :args ((tptp.sep @t34 (tptp.sep @t24 @t100)))) % 77.50/77.76 (step @p161 :rule instantiate :premises (@p1) :args ((@list @t24 @t34 @t100))) % 77.50/77.76 (step @p162 :rule trans :premises (@p161 @p160)) % 77.50/77.76 (step @p163 :rule cong :premises (@p115 @p162) :args ((tptp.sep @t36 (tptp.sep @t24 @t101)))) % 77.50/77.76 (step @p164 :rule instantiate :premises (@p1) :args ((@list @t24 @t36 @t101))) % 77.50/77.76 (step @p165 :rule trans :premises (@p164 @p163)) % 77.50/77.76 (step @p166 :rule cong :premises (@p98 @p165) :args ((tptp.sep @t38 (tptp.sep @t24 @t102)))) % 77.50/77.76 (step @p167 :rule instantiate :premises (@p1) :args ((@list @t24 @t38 @t102))) % 77.50/77.76 (step @p168 :rule trans :premises (@p167 @p166)) % 77.50/77.76 (step @p169 :rule cong :premises (@p94 @p168) :args ((tptp.sep @t42 (tptp.sep @t24 @t103)))) % 77.50/77.76 (step @p170 :rule instantiate :premises (@p1) :args ((@list @t24 @t42 @t103))) % 77.50/77.76 (step @p171 :rule trans :premises (@p170 @p169)) % 77.50/77.76 (step @p172 :rule cong :premises (@p91 @p171) :args ((tptp.sep @t40 (tptp.sep @t24 @t104)))) % 77.50/77.76 (step @p173 :rule instantiate :premises (@p1) :args ((@list @t24 @t40 @t104))) % 77.50/77.76 (step @p174 :rule instantiate :premises (@p1) :args ((@list @t42 @t40 @t103))) % 77.50/77.76 (step @p175 :rule instantiate :premises (@p1) :args ((@list @t34 @t32 @t99))) % 77.50/77.76 (step @p176 :rule symm :premises (@p175)) % 77.50/77.76 (step @p177 :rule cong :premises (@p115 @p176) :args (@t106)) % 77.50/77.76 (step @p178 :rule eq-symm :args (@t106 @t108)) % 77.50/77.76 (step @p179 :rule cong :premises (@p61 @p178) :args ((=> @t4 @t109))) % 77.50/77.76 (assume-push @p318 @t4) % 77.50/77.76 (step @p181 :rule instantiate :premises (@p1) :args ((@list @t36 @t32 @t105))) % 77.50/77.76 (step-pop @p319 :rule scope :premises (@p181)) % 77.50/77.76 (step @p182 :rule process_scope :premises (@p319) :args (@t109)) % 77.50/77.76 (step @p184 :rule eq_resolve :premises (@p182 @p179)) % 77.50/77.76 (step @p185 :rule implies_elim :premises (@p184)) % 77.50/77.76 (step @p186 :rule chain_m_resolution :premises (@p185 @p1) :args ((= @t108 @t106) @t58 @t63)) % 77.50/77.76 (step @p187 :rule trans :premises (@p186 @p177)) % 77.50/77.76 (step @p188 :rule cong :premises (@p98 @p187) :args (@t110)) % 77.50/77.76 (step @p189 :rule eq-symm :args (@t110 @t112)) % 77.50/77.76 (step @p190 :rule cong :premises (@p61 @p189) :args ((=> @t4 @t113))) % 77.50/77.76 (assume-push @p320 @t4) % 77.50/77.76 (step @p192 :rule instantiate :premises (@p1) :args ((@list @t38 @t32 @t107))) % 77.50/77.76 (step-pop @p321 :rule scope :premises (@p192)) % 77.50/77.76 (step @p193 :rule process_scope :premises (@p321) :args (@t113)) % 77.50/77.76 (step @p195 :rule eq_resolve :premises (@p193 @p190)) % 77.50/77.76 (step @p196 :rule implies_elim :premises (@p195)) % 77.50/77.76 (step @p197 :rule chain_m_resolution :premises (@p196 @p1) :args ((= @t112 @t110) @t58 @t63)) % 77.50/77.76 (step @p198 :rule trans :premises (@p197 @p188)) % 77.50/77.76 (step @p199 :rule cong :premises (@p91 @p198) :args (@t114)) % 77.50/77.76 (step @p200 :rule eq-symm :args (@t114 @t116)) % 77.50/77.76 (step @p201 :rule cong :premises (@p61 @p200) :args ((=> @t4 @t117))) % 77.50/77.76 (assume-push @p322 @t4) % 77.50/77.76 (step @p203 :rule instantiate :premises (@p1) :args ((@list @t40 @t32 @t111))) % 77.50/77.76 (step-pop @p323 :rule scope :premises (@p203)) % 77.50/77.76 (step @p204 :rule process_scope :premises (@p323) :args (@t117)) % 77.50/77.76 (step @p206 :rule eq_resolve :premises (@p204 @p201)) % 77.50/77.76 (step @p207 :rule implies_elim :premises (@p206)) % 77.50/77.76 (step @p208 :rule chain_m_resolution :premises (@p207 @p1) :args ((= @t116 @t114) @t58 @t63)) % 77.50/77.76 (step @p209 :rule trans :premises (@p208 @p199)) % 77.50/77.76 (step @p210 :rule cong :premises (@p94 @p209) :args (@t118)) % 77.50/77.76 (step @p211 :rule eq-symm :args (@t118 @t119)) % 77.50/77.76 (step @p212 :rule cong :premises (@p61 @p211) :args ((=> @t4 @t120))) % 77.50/77.76 (assume-push @p324 @t4) % 77.50/77.76 (step @p214 :rule instantiate :premises (@p1) :args ((@list @t42 @t32 @t115))) % 77.50/77.76 (step-pop @p325 :rule scope :premises (@p214)) % 77.50/77.76 (step @p215 :rule process_scope :premises (@p325) :args (@t120)) % 77.50/77.76 (step @p217 :rule eq_resolve :premises (@p215 @p212)) % 77.50/77.76 (step @p218 :rule implies_elim :premises (@p217)) % 77.50/77.76 (step @p219 :rule chain_m_resolution :premises (@p218 @p1) :args ((= @t119 @t118) @t58 @t63)) % 77.50/77.76 (step @p220 :rule instantiate :premises (@p1) :args ((@list @t40 @t38 @t107))) % 77.50/77.76 (step @p221 :rule symm :premises (@p220)) % 77.50/77.76 (step @p222 :rule cong :premises (@p94 @p221) :args (@t122)) % 77.50/77.76 (step @p223 :rule eq-symm :args (@t122 @t123)) % 77.50/77.76 (step @p224 :rule cong :premises (@p61 @p223) :args ((=> @t4 @t124))) % 77.50/77.76 (assume-push @p326 @t4) % 77.50/77.76 (step @p226 :rule instantiate :premises (@p1) :args ((@list @t42 @t38 @t121))) % 77.50/77.76 (step-pop @p327 :rule scope :premises (@p226)) % 77.50/77.76 (step @p227 :rule process_scope :premises (@p327) :args (@t124)) % 77.50/77.76 (step @p229 :rule eq_resolve :premises (@p227 @p224)) % 77.50/77.76 (step @p230 :rule implies_elim :premises (@p229)) % 77.50/77.76 (step @p231 :rule chain_m_resolution :premises (@p230 @p1) :args ((= @t123 @t122) @t58 @t63)) % 77.50/77.76 (step @p232 :rule instantiate :premises (@p1) :args ((@list @t36 @t40 @t105))) % 77.50/77.76 (step @p233 :rule instantiate :premises (@p1) :args ((@list @t34 @t31 @t47))) % 77.50/77.76 (step @p234 :rule symm :premises (@p233)) % 77.50/77.76 (step @p235 :rule instantiate :premises (@p1) :args ((@list @t27 @t29 @t45))) % 77.50/77.76 (step @p236 :rule instantiate :premises (@p1) :args ((@list @t29 @t25 @t23))) % 77.50/77.76 (step @p237 :rule symm :premises (@p236)) % 77.50/77.76 (step @p238 :rule cong :premises (@p70 @p237) :args ((tptp.sep @t27 (tptp.sep @t25 @t84)))) % 77.50/77.76 (step @p239 :rule instantiate :premises (@p1) :args ((@list @t25 @t27 @t84))) % 77.50/77.76 (step @p240 :rule trans :premises (@p239 @p238 @p235)) % 77.50/77.76 (step @p241 :rule cong :premises (@p76 @p240) :args ((tptp.sep @t34 (tptp.sep @t25 @t85)))) % 77.50/77.76 (step @p242 :rule instantiate :premises (@p1) :args ((@list @t25 @t34 @t85))) % 77.50/77.76 (step @p243 :rule trans :premises (@p242 @p241)) % 77.50/77.76 (step @p244 :rule cong :premises (@p153 @p243) :args ((tptp.sep @t31 (tptp.sep @t25 @t86)))) % 77.50/77.76 (step @p245 :rule instantiate :premises (@p1) :args ((@list @t25 @t31 @t86))) % 77.50/77.76 (step @p246 :rule trans :premises (@p245 @p244 @p234)) % 77.50/77.76 (step @p247 :rule cong :premises (@p91 @p246) :args ((tptp.sep @t40 (tptp.sep @t25 @t87)))) % 77.50/77.76 (step @p248 :rule instantiate :premises (@p1) :args ((@list @t25 @t40 @t87))) % 77.50/77.76 (step @p249 :rule trans :premises (@p248 @p247)) % 77.50/77.76 (step @p250 :rule cong :premises (@p115 @p249) :args ((tptp.sep @t36 (tptp.sep @t25 @t88)))) % 77.50/77.76 (step @p251 :rule instantiate :premises (@p1) :args ((@list @t25 @t36 @t88))) % 77.50/77.76 (step @p252 :rule trans :premises (@p251 @p250 @p232)) % 77.50/77.76 (step @p253 :rule cong :premises (@p94 @p252) :args ((tptp.sep @t42 (tptp.sep @t25 @t89)))) % 77.50/77.76 (step @p254 :rule instantiate :premises (@p1) :args ((@list @t25 @t42 @t89))) % 77.50/77.76 (step @p255 :rule trans :premises (@p254 @p253)) % 77.50/77.76 (step @p256 :rule cong :premises (@p98 @p255) :args ((tptp.sep @t38 (tptp.sep @t25 @t90)))) % 77.50/77.76 (step @p257 :rule instantiate :premises (@p1) :args ((@list @t25 @t38 @t90))) % 77.50/77.76 (step @p258 :rule trans :premises (@p257 @p256 @p231 @p222)) % 77.50/77.76 (step @p259 :rule cong :premises (@p79 @p258) :args ((tptp.sep @t32 (tptp.sep @t25 @t91)))) % 77.50/77.76 (step @p260 :rule instantiate :premises (@p1) :args ((@list @t25 @t32 @t91))) % 77.50/77.76 (step @p261 :rule trans :premises (@p260 @p259 @p219 @p210 @p174)) % 77.50/77.76 (step @p262 :rule refl :args (@t24)) % 77.50/77.76 (step @p263 :rule cong :premises (@p262 @p261) :args (@t93)) % 77.50/77.76 (step @p264 :rule trans :premises (@p263 @p173 @p172 @p148)) % 77.50/77.76 (step @p265 :rule cong :premises (@p264) :args (@t94)) % 77.50/77.76 (step @p266 :rule trans :premises (@p265 @p147)) % 77.50/77.76 (step @p267 :rule true_elim :premises (@p266)) % 77.50/77.76 (step @p268 :rule cnf_or_pos :args (@t98)) % 77.50/77.76 (step @p269 :rule reordering :premises (@p268) :args ((or @t22 @t97 @t95 (not @t98)))) % 77.50/77.76 (step @p270 :rule chain_m_resolution :premises (@p269 @p18 @p267 @p146) :args (@t97 (@list true false false) (@list @t22 @t94 @t98))) % 77.50/77.76 (step @p271 :rule cong :premises (@p270 @p135) :args (@t31)) % 77.50/77.76 (step @p272 :rule cong :premises (@p271 @p134) :args ((tptp.sep @t31 @t83))) % 77.50/77.76 (step @p273 :rule instantiate :premises (@p1) :args ((@list @t31 @t42 @t82))) % 77.50/77.76 (step @p274 :rule symm :premises (@p273)) % 77.50/77.76 (step @p275 :rule instantiate :premises (@p1) :args ((@list @t31 @t40 @t81))) % 77.50/77.76 (step @p276 :rule symm :premises (@p275)) % 77.50/77.76 (step @p277 :rule instantiate :premises (@p1) :args ((@list @t31 @t38 @t78))) % 77.50/77.76 (step @p278 :rule symm :premises (@p277)) % 77.50/77.76 (step @p279 :rule instantiate :premises (@p1) :args ((@list @t31 @t36 @t67))) % 77.50/77.76 (step @p280 :rule symm :premises (@p279)) % 77.50/77.76 (step @p281 :rule instantiate :premises (@p1) :args ((@list @t31 @t34 @t66))) % 77.50/77.76 (step @p282 :rule symm :premises (@p281)) % 77.50/77.76 (step @p283 :rule eq-symm :args (@t125 @t33)) % 77.50/77.76 (step @p284 :rule cong :premises (@p61 @p283) :args ((=> @t4 @t126))) % 77.50/77.76 (assume-push @p328 @t4) % 77.50/77.76 (step @p286 :rule instantiate :premises (@p1) :args ((@list @t31 @t32 @t30))) % 77.50/77.76 (step-pop @p329 :rule scope :premises (@p286)) % 77.50/77.76 (step @p287 :rule process_scope :premises (@p329) :args (@t126)) % 77.50/77.76 (step @p289 :rule eq_resolve :premises (@p287 @p284)) % 77.50/77.76 (step @p290 :rule implies_elim :premises (@p289)) % 77.50/77.76 (step @p291 :rule chain_m_resolution :premises (@p290 @p1) :args ((= @t33 @t125) @t58 @t63)) % 77.50/77.76 (step @p292 :rule cong :premises (@p76 @p291) :args (@t35)) % 77.50/77.76 (step @p293 :rule trans :premises (@p292 @p282)) % 77.50/77.76 (step @p294 :rule cong :premises (@p115 @p293) :args (@t37)) % 77.50/77.76 (step @p295 :rule trans :premises (@p294 @p280)) % 77.50/77.76 (step @p296 :rule cong :premises (@p98 @p295) :args (@t39)) % 77.50/77.76 (step @p297 :rule trans :premises (@p296 @p278)) % 77.50/77.76 (step @p298 :rule cong :premises (@p91 @p297) :args (@t41)) % 77.50/77.76 (step @p299 :rule trans :premises (@p298 @p276)) % 77.50/77.76 (step @p300 :rule cong :premises (@p94 @p299) :args (@t43)) % 77.50/77.76 (step @p301 :rule trans :premises (@p300 @p274 @p272)) % 77.50/77.76 (step @p302 :rule cong :premises (@p301) :args (@t44)) % 77.50/77.76 (step @p303 :rule symm :premises (@p147)) % 77.50/77.76 (step @p304 :rule trans :premises (@p303 @p302 @p43)) % 77.50/77.76 (step @p305 false :rule eq_resolve :premises (@p304 @p26)) % 77.50/77.76 ) % 77.50/77.78 % SZS output end Proof % 77.50/77.78 % cvc5 exiting %------------------------------------------------------------------------------