%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYN598-10 : TPTP v9.2.1. Released v7.5.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n007.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 09:09:28 AM UTC 2026 % Result : Unsatisfiable 0.95s 1.13s % Output : Proof 0.95s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYN598-10 : TPTP v9.2.1. Released v7.5.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n007.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 23:31:56 EDT 2026 % 0.17/0.34 % CPUTime : % 0.30/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.30/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.95/1.13 % SZS status Unsatisfiable % 0.95/1.13 % SZS output start Proof % 0.95/1.13 ( % 0.95/1.13 (declare-sort $$unsorted 0) % 0.95/1.13 (declare-const tptp.c23 $$unsorted) % 0.95/1.13 (declare-const tptp.f10 (-> $$unsorted $$unsorted $$unsorted)) % 0.95/1.13 (declare-const tptp.f11 (-> $$unsorted $$unsorted $$unsorted)) % 0.95/1.13 (declare-const tptp.f8 (-> $$unsorted $$unsorted)) % 0.95/1.13 (declare-const tptp.f14 (-> $$unsorted $$unsorted)) % 0.95/1.13 (declare-const tptp.f15 (-> $$unsorted $$unsorted)) % 0.95/1.13 (declare-const tptp.p19 (-> $$unsorted $$unsorted $$unsorted)) % 0.95/1.13 (declare-const tptp.f12 (-> $$unsorted $$unsorted)) % 0.95/1.13 (declare-const tptp.ifeq (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.95/1.13 (declare-const tptp.p20 (-> $$unsorted $$unsorted $$unsorted)) % 0.95/1.13 (declare-const tptp.p7 (-> $$unsorted $$unsorted $$unsorted)) % 0.95/1.13 (declare-const tptp.c22 $$unsorted) % 0.95/1.13 (declare-const tptp.true $$unsorted) % 0.95/1.13 (declare-const tptp.c21 $$unsorted) % 0.95/1.13 (declare-const tptp.p2 (-> $$unsorted $$unsorted $$unsorted)) % 0.95/1.13 (declare-const tptp.p3 (-> $$unsorted $$unsorted $$unsorted)) % 0.95/1.13 (declare-const tptp.f13 (-> $$unsorted $$unsorted)) % 0.95/1.13 (declare-const tptp.p18 (-> $$unsorted $$unsorted)) % 0.95/1.13 (declare-const tptp.f4 (-> $$unsorted $$unsorted)) % 0.95/1.13 (declare-const tptp.p17 (-> $$unsorted $$unsorted)) % 0.95/1.13 (declare-const tptp.f9 (-> $$unsorted $$unsorted)) % 0.95/1.13 (declare-const tptp.f16 (-> $$unsorted $$unsorted)) % 0.95/1.13 (declare-const tptp.p5 (-> $$unsorted $$unsorted $$unsorted)) % 0.95/1.13 (declare-const tptp.f6 (-> $$unsorted $$unsorted)) % 0.95/1.13 (define @t1 () (@var "B" $$unsorted)) % 0.95/1.13 (define @t2 () (@var "C" $$unsorted)) % 0.95/1.13 (define @t3 () (@var "A" $$unsorted)) % 0.95/1.13 (define @t4 () (tptp.ifeq @t3 @t3 @t1 @t2)) % 0.95/1.13 (define @t5 () (forall (@list @t3 @t1 @t2) (= @t4 @t1))) % 0.95/1.13 (define @t6 () (tptp.p18 tptp.c21)) % 0.95/1.13 (define @t7 () (@var "X34" $$unsorted)) % 0.95/1.13 (define @t8 () (tptp.p7 @t7 @t7)) % 0.95/1.13 (define @t9 () (forall (@list @t7) (= @t8 tptp.true))) % 0.95/1.13 (define @t10 () (@var "X9" $$unsorted)) % 0.95/1.13 (define @t11 () (@var "X18" $$unsorted)) % 0.95/1.13 (define @t12 () (@var "X31" $$unsorted)) % 0.95/1.13 (define @t13 () (tptp.f4 (tptp.f6 tptp.c21))) % 0.95/1.13 (define @t14 () (tptp.p3 @t13 tptp.c22)) % 0.95/1.13 (define @t15 () (@var "X0" $$unsorted)) % 0.95/1.13 (define @t16 () (@var "X1" $$unsorted)) % 0.95/1.13 (define @t17 () (@var "X2" $$unsorted)) % 0.95/1.13 (define @t18 () (@var "X3" $$unsorted)) % 0.95/1.13 (define @t19 () (@var "X50" $$unsorted)) % 0.95/1.13 (define @t20 () (@var "X49" $$unsorted)) % 0.95/1.13 (define @t21 () (@var "X13" $$unsorted)) % 0.95/1.13 (define @t22 () (@var "X12" $$unsorted)) % 0.95/1.13 (define @t23 () (@var "X22" $$unsorted)) % 0.95/1.13 (define @t24 () (@var "X21" $$unsorted)) % 0.95/1.13 (define @t25 () (@var "X24" $$unsorted)) % 0.95/1.13 (define @t26 () (@var "X23" $$unsorted)) % 0.95/1.13 (define @t27 () (@var "X26" $$unsorted)) % 0.95/1.13 (define @t28 () (@var "X25" $$unsorted)) % 0.95/1.13 (define @t29 () (@var "X28" $$unsorted)) % 0.95/1.13 (define @t30 () (@var "X27" $$unsorted)) % 0.95/1.13 (define @t31 () (@var "X30" $$unsorted)) % 0.95/1.13 (define @t32 () (@var "X29" $$unsorted)) % 0.95/1.13 (define @t33 () (@var "X46" $$unsorted)) % 0.95/1.13 (define @t34 () (@var "X45" $$unsorted)) % 0.95/1.13 (define @t35 () (@var "X48" $$unsorted)) % 0.95/1.13 (define @t36 () (@var "X47" $$unsorted)) % 0.95/1.13 (define @t37 () (@var "X11" $$unsorted)) % 0.95/1.13 (define @t38 () (@var "X10" $$unsorted)) % 0.95/1.13 (define @t39 () (@var "X36" $$unsorted)) % 0.95/1.13 (define @t40 () (@var "X35" $$unsorted)) % 0.95/1.13 (define @t41 () (@var "X33" $$unsorted)) % 0.95/1.13 (define @t42 () (@var "X32" $$unsorted)) % 0.95/1.13 (define @t43 () (@var "X20" $$unsorted)) % 0.95/1.13 (define @t44 () (@var "X19" $$unsorted)) % 0.95/1.13 (define @t45 () (@var "X5" $$unsorted)) % 0.95/1.13 (define @t46 () (@var "X4" $$unsorted)) % 0.95/1.13 (define @t47 () (@var "X6" $$unsorted)) % 0.95/1.13 (define @t48 () (@var "X7" $$unsorted)) % 0.95/1.13 (define @t49 () (tptp.ifeq (tptp.p19 @t47 @t48) tptp.true (tptp.ifeq (tptp.p7 @t48 @t45) tptp.true (tptp.ifeq (tptp.p7 @t47 @t46) tptp.true (tptp.p19 @t46 @t45) tptp.true) tptp.true) tptp.true)) % 0.95/1.13 (define @t50 () (forall (@list @t47 @t48 @t45 @t46) (= @t49 tptp.true))) % 0.95/1.13 (define @t51 () (@var "X15" $$unsorted)) % 0.95/1.13 (define @t52 () (@var "X14" $$unsorted)) % 0.95/1.13 (define @t53 () (@var "X16" $$unsorted)) % 0.95/1.13 (define @t54 () (@var "X17" $$unsorted)) % 0.95/1.13 (define @t55 () (@var "X44" $$unsorted)) % 0.95/1.13 (define @t56 () (@var "X43" $$unsorted)) % 0.95/1.13 (define @t57 () (@var "X42" $$unsorted)) % 0.95/1.13 (define @t58 () (@var "X41" $$unsorted)) % 0.95/1.13 (define @t59 () (tptp.ifeq (tptp.p3 @t57 @t55) tptp.true (tptp.ifeq (tptp.p7 @t58 @t56) tptp.true (tptp.p7 (tptp.f11 @t58 @t57) (tptp.f11 @t56 @t55)) tptp.true) tptp.true)) % 0.95/1.13 (define @t60 () (forall (@list @t57 @t55 @t58 @t56) (= @t59 tptp.true))) % 0.95/1.13 (define @t61 () (@var "X40" $$unsorted)) % 0.95/1.13 (define @t62 () (@var "X39" $$unsorted)) % 0.95/1.13 (define @t63 () (@var "X38" $$unsorted)) % 0.95/1.13 (define @t64 () (@var "X37" $$unsorted)) % 0.95/1.13 (define @t65 () (tptp.ifeq (tptp.p7 @t63 @t61) tptp.true (tptp.ifeq (tptp.p7 @t64 @t62) tptp.true (tptp.p7 (tptp.f10 @t64 @t63) (tptp.f10 @t62 @t61)) tptp.true) tptp.true)) % 0.95/1.13 (define @t66 () (forall (@list @t63 @t61 @t64 @t62) (= @t65 tptp.true))) % 0.95/1.13 (define @t67 () (tptp.f8 (tptp.f9 tptp.c21))) % 0.95/1.13 (define @t68 () (tptp.f13 tptp.c23)) % 0.95/1.13 (define @t69 () (tptp.f14 (tptp.f12 (tptp.f15 @t68)))) % 0.95/1.13 (define @t70 () (tptp.f11 @t69 (tptp.f12 (tptp.f13 (tptp.f13 (tptp.f13 (tptp.f13 (tptp.f13 (tptp.f13 @t68))))))))) % 0.95/1.13 (define @t71 () (tptp.f11 @t69 tptp.c22)) % 0.95/1.13 (define @t72 () (tptp.f10 @t71 @t70)) % 0.95/1.13 (define @t73 () (tptp.p19 @t72 @t67)) % 0.95/1.13 (define @t74 () (@var "X8" $$unsorted)) % 0.95/1.13 (define @t75 () (tptp.f8 (tptp.f9 @t74))) % 0.95/1.13 (define @t76 () (tptp.f4 (tptp.f6 @t74))) % 0.95/1.13 (define @t77 () (tptp.p18 @t74)) % 0.95/1.13 (define @t78 () (tptp.ifeq @t77 tptp.true (tptp.p19 (tptp.f10 (tptp.f11 @t69 @t76) @t70) @t75) tptp.true)) % 0.95/1.13 (define @t79 () (@list @t74)) % 0.95/1.13 (define @t80 () (forall @t79 (= @t78 tptp.true))) % 0.95/1.13 (define @t81 () (tptp.f11 @t69 @t13)) % 0.95/1.13 (define @t82 () (tptp.f10 @t81 @t70)) % 0.95/1.13 (define @t83 () (tptp.p19 @t82 @t67)) % 0.95/1.13 (define @t84 () (tptp.p7 @t82 @t72)) % 0.95/1.13 (define @t85 () (tptp.ifeq @t84 tptp.true @t73 tptp.true)) % 0.95/1.13 (define @t86 () (tptp.p7 @t81 @t71)) % 0.95/1.13 (define @t87 () (tptp.ifeq @t86 tptp.true @t84 tptp.true)) % 0.95/1.13 (define @t88 () (= tptp.true @t6)) % 0.95/1.13 (define @t89 () (= tptp.true @t14)) % 0.95/1.13 (define @t90 () (= tptp.true (tptp.ifeq @t6 tptp.true @t83 tptp.true))) % 0.95/1.13 (define @t91 () (tptp.ifeq tptp.true tptp.true @t83 tptp.true)) % 0.95/1.13 (define @t92 () (= @t83 @t91)) % 0.95/1.13 (define @t93 () (tptp.p7 @t69 @t69)) % 0.95/1.13 (define @t94 () (= tptp.true @t93)) % 0.95/1.13 (define @t95 () (tptp.p7 @t67 @t67)) % 0.95/1.13 (define @t96 () (= tptp.true @t95)) % 0.95/1.13 (define @t97 () (tptp.p7 @t70 @t70)) % 0.95/1.13 (define @t98 () (= tptp.true @t97)) % 0.95/1.13 (define @t99 () (tptp.ifeq @t95 tptp.true @t85 tptp.true)) % 0.95/1.13 (define @t100 () (tptp.ifeq @t83 tptp.true @t99 tptp.true)) % 0.95/1.13 (define @t101 () (= tptp.true @t100)) % 0.95/1.13 (define @t102 () (= tptp.true (tptp.ifeq @t97 tptp.true @t87 tptp.true))) % 0.95/1.13 (define @t103 () (= @t73 (tptp.ifeq tptp.true tptp.true @t73 tptp.true))) % 0.95/1.13 (define @t104 () (= @t85 (tptp.ifeq tptp.true tptp.true @t85 tptp.true))) % 0.95/1.13 (define @t105 () (tptp.ifeq tptp.true tptp.true @t87 tptp.true)) % 0.95/1.13 (define @t106 () (= @t87 @t105)) % 0.95/1.13 (define @t107 () (tptp.ifeq @t93 tptp.true @t86 tptp.true)) % 0.95/1.13 (define @t108 () (tptp.ifeq @t14 tptp.true @t107 tptp.true)) % 0.95/1.13 (define @t109 () (= tptp.true @t108)) % 0.95/1.13 (define @t110 () (= @t86 (tptp.ifeq tptp.true tptp.true @t86 tptp.true))) % 0.95/1.13 (define @t111 () (tptp.ifeq tptp.true tptp.true @t84 tptp.true)) % 0.95/1.13 (define @t112 () (= @t84 @t111)) % 0.95/1.13 (define @t113 () (= tptp.true @t73)) % 0.95/1.13 (define @t114 () (and @t88 @t89 @t90 @t92 @t94 @t96 @t98 @t101 @t102 @t103 @t104 @t106 @t109 @t110 @t112)) % 0.95/1.13 (assume @p1 @t5) % 0.95/1.13 (assume @p2 (= (tptp.p17 tptp.c21) tptp.true)) % 0.95/1.13 (assume @p3 (= @t6 tptp.true)) % 0.95/1.13 (assume @p4 @t9) % 0.95/1.13 (assume @p5 (forall (@list @t10) (= (tptp.p2 @t10 @t10) tptp.true))) % 0.95/1.13 (assume @p6 (forall (@list @t11) (= (tptp.p3 @t11 @t11) tptp.true))) % 0.95/1.13 (assume @p7 (forall (@list @t12) (= (tptp.p5 @t12 @t12) tptp.true))) % 0.95/1.13 (assume @p8 (= @t14 tptp.true)) % 0.95/1.13 (assume @p9 (forall (@list @t16 @t15) (= (tptp.ifeq (tptp.p17 @t16) tptp.true (tptp.ifeq (tptp.p5 @t16 @t15) tptp.true (tptp.p17 @t15) tptp.true) tptp.true) tptp.true))) % 0.95/1.13 (assume @p10 (forall (@list @t18 @t17) (= (tptp.ifeq (tptp.p18 @t18) tptp.true (tptp.ifeq (tptp.p5 @t18 @t17) tptp.true (tptp.p18 @t17) tptp.true) tptp.true) tptp.true))) % 0.95/1.13 (assume @p11 (forall (@list @t20 @t19) (= (tptp.ifeq (tptp.p5 @t20 @t19) tptp.true (tptp.p7 (tptp.f9 @t20) (tptp.f9 @t19)) tptp.true) tptp.true))) % 0.95/1.13 (assume @p12 (forall (@list @t22 @t21) (= (tptp.ifeq (tptp.p5 @t22 @t21) tptp.true (tptp.p2 (tptp.f6 @t22) (tptp.f6 @t21)) tptp.true) tptp.true))) % 0.95/1.13 (assume @p13 (forall (@list @t24 @t23) (= (tptp.ifeq (tptp.p3 @t24 @t23) tptp.true (tptp.p3 (tptp.f12 @t24) (tptp.f12 @t23)) tptp.true) tptp.true))) % 0.95/1.13 (assume @p14 (forall (@list @t26 @t25) (= (tptp.ifeq (tptp.p3 @t26 @t25) tptp.true (tptp.p3 (tptp.f13 @t26) (tptp.f13 @t25)) tptp.true) tptp.true))) % 0.95/1.13 (assume @p15 (forall (@list @t28 @t27) (= (tptp.ifeq (tptp.p3 @t28 @t27) tptp.true (tptp.p3 (tptp.f15 @t28) (tptp.f15 @t27)) tptp.true) tptp.true))) % 0.95/1.13 (assume @p16 (forall (@list @t30 @t29) (= (tptp.ifeq (tptp.p3 @t30 @t29) tptp.true (tptp.p3 (tptp.f16 @t30) (tptp.f16 @t29)) tptp.true) tptp.true))) % 0.95/1.13 (assume @p17 (forall (@list @t32 @t31) (= (tptp.ifeq (tptp.p2 @t32 @t31) tptp.true (tptp.p3 (tptp.f4 @t32) (tptp.f4 @t31)) tptp.true) tptp.true))) % 0.95/1.13 (assume @p18 (forall (@list @t34 @t33) (= (tptp.ifeq (tptp.p3 @t34 @t33) tptp.true (tptp.p7 (tptp.f14 @t34) (tptp.f14 @t33)) tptp.true) tptp.true))) % 0.95/1.13 (assume @p19 (forall (@list @t36 @t35) (= (tptp.ifeq (tptp.p7 @t36 @t35) tptp.true (tptp.p7 (tptp.f8 @t36) (tptp.f8 @t35)) tptp.true) tptp.true))) % 0.95/1.13 (assume @p20 (forall (@list @t10 @t37 @t38) (= (tptp.ifeq (tptp.p2 @t10 @t37) tptp.true (tptp.ifeq (tptp.p2 @t10 @t38) tptp.true (tptp.p2 @t38 @t37) tptp.true) tptp.true) tptp.true))) % 0.95/1.13 (assume @p21 (forall (@list @t7 @t39 @t40) (= (tptp.ifeq (tptp.p7 @t7 @t39) tptp.true (tptp.ifeq (tptp.p7 @t7 @t40) tptp.true (tptp.p7 @t40 @t39) tptp.true) tptp.true) tptp.true))) % 0.95/1.13 (assume @p22 (forall (@list @t12 @t41 @t42) (= (tptp.ifeq (tptp.p5 @t12 @t41) tptp.true (tptp.ifeq (tptp.p5 @t12 @t42) tptp.true (tptp.p5 @t42 @t41) tptp.true) tptp.true) tptp.true))) % 0.95/1.13 (assume @p23 (forall (@list @t11 @t43 @t44) (= (tptp.ifeq (tptp.p3 @t11 @t43) tptp.true (tptp.ifeq (tptp.p3 @t11 @t44) tptp.true (tptp.p3 @t44 @t43) tptp.true) tptp.true) tptp.true))) % 0.95/1.13 (assume @p24 @t50) % 0.95/1.13 (assume @p25 (forall (@list @t53 @t54 @t51 @t52) (= (tptp.ifeq (tptp.p20 @t53 @t54) tptp.true (tptp.ifeq (tptp.p7 @t54 @t51) tptp.true (tptp.ifeq (tptp.p7 @t53 @t52) tptp.true (tptp.p20 @t52 @t51) tptp.true) tptp.true) tptp.true) tptp.true))) % 0.95/1.13 (assume @p26 @t60) % 0.95/1.13 (assume @p27 @t66) % 0.95/1.13 (assume @p28 (not (= @t73 tptp.true))) % 0.95/1.13 (assume @p29 @t80) % 0.95/1.13 (assume @p30 (forall @t79 (= (tptp.ifeq @t77 tptp.true (tptp.p20 @t75 (tptp.f10 (tptp.f11 @t69 (tptp.f16 @t76)) @t70)) tptp.true) tptp.true))) % 0.95/1.13 (step @p31 :rule symm :premises (@p3)) % 0.95/1.13 (step @p32 :rule symm :premises (@p8)) % 0.95/1.13 (step @p33 :rule symm :premises (@p28)) % 0.95/1.13 (step @p34 :rule eq-symm :args (@t78 tptp.true)) % 0.95/1.13 (step @p35 :rule cong :premises (@p34) :args (@t80)) % 0.95/1.13 (step @p36 :rule eq_resolve :premises (@p29 @p35)) % 0.95/1.13 (step @p37 :rule instantiate :premises (@p36) :args ((@list tptp.c21))) % 0.95/1.13 (step @p38 :rule eq-symm :args (@t4 @t1)) % 0.95/1.13 (step @p39 :rule cong :premises (@p38) :args (@t5)) % 0.95/1.13 (step @p40 :rule eq_resolve :premises (@p1 @p39)) % 0.95/1.13 (step @p41 :rule instantiate :premises (@p40) :args ((@list tptp.true @t83 tptp.true))) % 0.95/1.13 (step @p42 :rule eq-symm :args (@t8 tptp.true)) % 0.95/1.13 (step @p43 :rule cong :premises (@p42) :args (@t9)) % 0.95/1.13 (step @p44 :rule eq_resolve :premises (@p4 @p43)) % 0.95/1.13 (step @p45 :rule instantiate :premises (@p44) :args ((@list @t69))) % 0.95/1.13 (step @p46 :rule instantiate :premises (@p44) :args ((@list @t67))) % 0.95/1.13 (step @p47 :rule instantiate :premises (@p44) :args ((@list @t70))) % 0.95/1.13 (step @p48 :rule eq-symm :args (@t49 tptp.true)) % 0.95/1.13 (step @p49 :rule cong :premises (@p48) :args (@t50)) % 0.95/1.13 (step @p50 :rule eq_resolve :premises (@p24 @p49)) % 0.95/1.13 (step @p51 :rule instantiate :premises (@p50) :args ((@list @t82 @t67 @t67 @t72))) % 0.95/1.13 (step @p52 :rule eq-symm :args (@t65 tptp.true)) % 0.95/1.13 (step @p53 :rule cong :premises (@p52) :args (@t66)) % 0.95/1.13 (step @p54 :rule eq_resolve :premises (@p27 @p53)) % 0.95/1.13 (step @p55 :rule instantiate :premises (@p54) :args ((@list @t70 @t70 @t81 @t71))) % 0.95/1.13 (step @p56 :rule instantiate :premises (@p40) :args ((@list tptp.true @t73 tptp.true))) % 0.95/1.13 (step @p57 :rule instantiate :premises (@p40) :args ((@list tptp.true @t85 tptp.true))) % 0.95/1.13 (step @p58 :rule instantiate :premises (@p40) :args ((@list tptp.true @t87 tptp.true))) % 0.95/1.13 (step @p59 :rule eq-symm :args (@t59 tptp.true)) % 0.95/1.13 (step @p60 :rule cong :premises (@p59) :args (@t60)) % 0.95/1.13 (step @p61 :rule eq_resolve :premises (@p26 @p60)) % 0.95/1.13 (step @p62 :rule instantiate :premises (@p61) :args ((@list @t13 tptp.c22 @t69 @t69))) % 0.95/1.13 (step @p63 :rule instantiate :premises (@p40) :args ((@list tptp.true @t86 tptp.true))) % 0.95/1.13 (step @p64 :rule instantiate :premises (@p40) :args ((@list tptp.true @t84 tptp.true))) % 0.95/1.13 (assume-push @p136 @t88) % 0.95/1.13 (assume-push @p137 @t89) % 0.95/1.13 (assume-push @p138 @t90) % 0.95/1.13 (assume-push @p139 @t92) % 0.95/1.13 (assume-push @p140 @t94) % 0.95/1.13 (assume-push @p141 @t96) % 0.95/1.13 (assume-push @p142 @t98) % 0.95/1.13 (assume-push @p143 @t101) % 0.95/1.13 (assume-push @p144 @t102) % 0.95/1.13 (assume-push @p145 @t103) % 0.95/1.13 (assume-push @p146 @t104) % 0.95/1.13 (assume-push @p147 @t106) % 0.95/1.13 (assume-push @p148 @t109) % 0.95/1.13 (assume-push @p149 @t110) % 0.95/1.13 (assume-push @p150 @t112) % 0.95/1.13 (step @p80 :rule symm :premises (@p56)) % 0.95/1.13 (step @p81 :rule refl :args (tptp.true)) % 0.95/1.13 (step @p82 :rule refl :args (@t73)) % 0.95/1.13 (step @p83 :rule symm :premises (@p55)) % 0.95/1.13 (step @p84 :rule refl :args (@t87)) % 0.95/1.13 (step @p85 :rule cong :premises (@p47 @p81 @p84 @p81) :args (@t105)) % 0.95/1.13 (step @p86 :rule refl :args (@t84)) % 0.95/1.13 (step @p87 :rule symm :premises (@p63)) % 0.95/1.13 (step @p88 :rule refl :args (@t86)) % 0.95/1.13 (step @p89 :rule symm :premises (@p45)) % 0.95/1.13 (step @p90 :rule cong :premises (@p89 @p81 @p88 @p81) :args (@t107)) % 0.95/1.13 (step @p91 :rule trans :premises (@p90 @p87)) % 0.95/1.13 (step @p92 :rule cong :premises (@p45 @p81 @p91 @p81) :args ((tptp.ifeq tptp.true tptp.true @t107 tptp.true))) % 0.95/1.13 (step @p93 :rule refl :args (@t107)) % 0.95/1.13 (step @p94 :rule cong :premises (@p8 @p81 @p93 @p81) :args (@t108)) % 0.95/1.13 (step @p95 :rule trans :premises (@p8 @p62 @p94 @p92 @p90 @p87)) % 0.95/1.13 (step @p96 :rule trans :premises (@p32 @p95)) % 0.95/1.13 (step @p97 :rule cong :premises (@p96 @p81 @p86 @p81) :args (@t111)) % 0.95/1.13 (step @p98 :rule trans :premises (@p64 @p97 @p58 @p85 @p83 @p32)) % 0.95/1.13 (step @p99 :rule trans :premises (@p98 @p8)) % 0.95/1.13 (step @p100 :rule cong :premises (@p99 @p81 @p82 @p81) :args (@t85)) % 0.95/1.13 (step @p101 :rule symm :premises (@p57)) % 0.95/1.13 (step @p102 :rule refl :args (@t85)) % 0.95/1.13 (step @p103 :rule symm :premises (@p46)) % 0.95/1.13 (step @p104 :rule cong :premises (@p103 @p81 @p102 @p81) :args (@t99)) % 0.95/1.13 (step @p105 :rule trans :premises (@p104 @p101)) % 0.95/1.13 (step @p106 :rule cong :premises (@p81 @p81 @p105 @p81) :args ((tptp.ifeq tptp.true tptp.true @t99 tptp.true))) % 0.95/1.13 (step @p107 :rule refl :args (@t99)) % 0.95/1.13 (step @p108 :rule symm :premises (@p37)) % 0.95/1.13 (step @p109 :rule refl :args (@t83)) % 0.95/1.13 (step @p110 :rule cong :premises (@p31 @p81 @p109 @p81) :args (@t91)) % 0.95/1.13 (step @p111 :rule trans :premises (@p41 @p110 @p108 @p32)) % 0.95/1.13 (step @p112 :rule trans :premises (@p111 @p8)) % 0.95/1.13 (step @p113 :rule cong :premises (@p112 @p81 @p107 @p81) :args (@t100)) % 0.95/1.13 (step @p114 :rule trans :premises (@p51 @p113 @p106 @p101 @p100 @p80)) % 0.95/1.13 (step-pop @p151 :rule scope :premises (@p114)) % 0.95/1.13 (step-pop @p152 :rule scope :premises (@p151)) % 0.95/1.13 (step-pop @p153 :rule scope :premises (@p152)) % 0.95/1.13 (step-pop @p154 :rule scope :premises (@p153)) % 0.95/1.13 (step-pop @p155 :rule scope :premises (@p154)) % 0.95/1.13 (step-pop @p156 :rule scope :premises (@p155)) % 0.95/1.13 (step-pop @p157 :rule scope :premises (@p156)) % 0.95/1.13 (step-pop @p158 :rule scope :premises (@p157)) % 0.95/1.13 (step-pop @p159 :rule scope :premises (@p158)) % 0.95/1.13 (step-pop @p160 :rule scope :premises (@p159)) % 0.95/1.13 (step-pop @p161 :rule scope :premises (@p160)) % 0.95/1.13 (step-pop @p162 :rule scope :premises (@p161)) % 0.95/1.13 (step-pop @p163 :rule scope :premises (@p162)) % 0.95/1.13 (step-pop @p164 :rule scope :premises (@p163)) % 0.95/1.13 (step-pop @p165 :rule scope :premises (@p164)) % 0.95/1.13 (step @p115 :rule process_scope :premises (@p165) :args (@t113)) % 0.95/1.13 (step @p131 :rule implies_elim :premises (@p115)) % 0.95/1.13 (step @p132 :rule cnf_and_neg :args (@t114)) % 0.95/1.13 (step @p133 :rule resolution :premises (@p132 @p131) :args (true @t114)) % 0.95/1.13 (step @p134 :rule reordering :premises (@p133) :args ((or @t113 (not @t88) (not @t89) (not @t90) (not @t92) (not @t94) (not @t96) (not @t98) (not @t101) (not @t102) (not @t103) (not @t104) (not @t106) (not @t109) (not @t110) (not @t112)))) % 0.95/1.13 (step @p135 false :rule chain_m_resolution :premises (@p134 @p64 @p63 @p62 @p58 @p57 @p56 @p55 @p51 @p47 @p46 @p45 @p41 @p37 @p33 @p32 @p31) :args (false (@list false false false false false false false false false false false false false true false false) (@list @t112 @t110 @t109 @t106 @t104 @t103 @t102 @t101 @t98 @t96 @t94 @t92 @t90 @t113 @t89 @t88))) % 0.95/1.13 ) % 0.95/1.14 % SZS output end Proof % 0.95/1.14 % cvc5 exiting %------------------------------------------------------------------------------