%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GEO148+1 : TPTP v9.2.1. Released v2.4.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n014.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 08:16:28 AM UTC 2026 % Result : Theorem 0.37s 0.59s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GEO148+1 : TPTP v9.2.1. Released v2.4.0. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n014.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 : Mon Jun 1 23:33:58 EDT 2026 % 0.15/0.34 % CPUTime : % 0.30/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.37/0.59 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.37/0.59 % SZS status Theorem % 0.37/0.59 % SZS output start Proof % 0.37/0.59 ( % 0.37/0.59 (declare-sort $$unsorted 0) % 0.37/0.59 (declare-const tptp.trajectory_of (-> $$unsorted $$unsorted)) % 0.37/0.59 (declare-const tptp.connect (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.37/0.59 (declare-const tptp.once (-> $$unsorted Bool)) % 0.37/0.59 (declare-const tptp.at (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.59 (declare-const tptp.finish_point (-> $$unsorted $$unsorted Bool)) % 0.37/0.59 (declare-const tptp.inner_point (-> $$unsorted $$unsorted Bool)) % 0.37/0.59 (declare-const tptp.part_of (-> $$unsorted $$unsorted Bool)) % 0.37/0.59 (declare-const tptp.sum (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.59 (declare-const tptp.at_the_same_time (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.59 (declare-const tptp.end_point (-> $$unsorted $$unsorted Bool)) % 0.37/0.59 (declare-const tptp.meet (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.37/0.59 (declare-const tptp.open (-> $$unsorted Bool)) % 0.37/0.59 (declare-const tptp.ordered_by (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.37/0.59 (declare-const tptp.start_point (-> $$unsorted $$unsorted Bool)) % 0.37/0.59 (declare-const tptp.incident_c (-> $$unsorted $$unsorted Bool)) % 0.37/0.59 (declare-const tptp.closed (-> $$unsorted Bool)) % 0.37/0.59 (declare-const tptp.between_o (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.37/0.59 (declare-const tptp.underlying_curve (-> $$unsorted $$unsorted)) % 0.37/0.59 (declare-const tptp.between_c (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.37/0.59 (declare-const tptp.incident_o (-> $$unsorted $$unsorted Bool)) % 0.37/0.59 (define @t1 () (@var "C" $$unsorted)) % 0.37/0.59 (define @t2 () (@var "P" $$unsorted)) % 0.37/0.59 (define @t3 () (tptp.incident_c @t2 @t1)) % 0.37/0.59 (define @t4 () (@var "C1" $$unsorted)) % 0.37/0.59 (define @t5 () (tptp.incident_c @t2 @t4)) % 0.37/0.59 (define @t6 () (@list @t2)) % 0.37/0.59 (define @t7 () (tptp.part_of @t4 @t1)) % 0.37/0.59 (define @t8 () (@list @t1 @t4)) % 0.37/0.59 (define @t9 () (@var "C2" $$unsorted)) % 0.37/0.59 (define @t10 () (@var "Q" $$unsorted)) % 0.37/0.59 (define @t11 () (tptp.incident_c @t10 @t4)) % 0.37/0.59 (define @t12 () (tptp.incident_c @t10 @t1)) % 0.37/0.59 (define @t13 () (@list @t10)) % 0.37/0.59 (define @t14 () (= @t1 (tptp.sum @t4 @t9))) % 0.37/0.59 (define @t15 () (tptp.part_of @t9 @t4)) % 0.37/0.59 (define @t16 () (tptp.part_of @t4 @t9)) % 0.37/0.59 (define @t17 () (tptp.part_of @t9 @t1)) % 0.37/0.59 (define @t18 () (@list @t4 @t9)) % 0.37/0.59 (define @t19 () (tptp.end_point @t2 @t1)) % 0.37/0.59 (define @t20 () (@list @t2 @t1)) % 0.37/0.59 (define @t21 () (tptp.inner_point @t2 @t1)) % 0.37/0.59 (define @t22 () (tptp.end_point @t10 @t4)) % 0.37/0.59 (define @t23 () (tptp.end_point @t10 @t1)) % 0.37/0.59 (define @t24 () (exists @t6 @t19)) % 0.37/0.59 (define @t25 () (tptp.closed @t1)) % 0.37/0.59 (define @t26 () (@list @t1)) % 0.37/0.59 (define @t27 () (tptp.open @t1)) % 0.37/0.59 (define @t28 () (@var "C3" $$unsorted)) % 0.37/0.59 (define @t29 () (tptp.meet @t2 @t4 @t9)) % 0.37/0.59 (define @t30 () (@list @t1 @t2)) % 0.37/0.59 (define @t31 () (@var "R" $$unsorted)) % 0.37/0.59 (define @t32 () (= @t2 @t31)) % 0.37/0.59 (define @t33 () (= @t2 @t10)) % 0.37/0.59 (define @t34 () (@list @t1 @t2 @t10 @t31)) % 0.37/0.59 (define @t35 () (not @t33)) % 0.37/0.59 (define @t36 () (@var "Cpp" $$unsorted)) % 0.37/0.59 (define @t37 () (tptp.between_c @t1 @t2 @t10 @t31)) % 0.37/0.59 (define @t38 () (@var "O" $$unsorted)) % 0.37/0.59 (define @t39 () (tptp.ordered_by @t38 @t10 @t2)) % 0.37/0.59 (define @t40 () (tptp.ordered_by @t38 @t2 @t10)) % 0.37/0.59 (define @t41 () (tptp.between_o @t38 @t2 @t10 @t31)) % 0.37/0.59 (define @t42 () (tptp.incident_o @t10 @t38)) % 0.37/0.59 (define @t43 () (and @t35 @t42)) % 0.37/0.59 (define @t44 () (tptp.incident_o @t2 @t38)) % 0.37/0.59 (define @t45 () (tptp.start_point @t2 @t38)) % 0.37/0.59 (define @t46 () (@list @t2 @t38)) % 0.37/0.59 (define @t47 () (forall @t6 (= @t44 @t3))) % 0.37/0.59 (define @t48 () (@list @t38)) % 0.37/0.59 (define @t49 () (@var "O2" $$unsorted)) % 0.37/0.59 (define @t50 () (@var "O1" $$unsorted)) % 0.37/0.59 (define @t51 () (@var "Y" $$unsorted)) % 0.37/0.59 (define @t52 () (@var "X" $$unsorted)) % 0.37/0.59 (define @t53 () (tptp.at @t52 @t2)) % 0.37/0.59 (define @t54 () (tptp.connect @t52 @t51 @t2)) % 0.37/0.59 (define @t55 () (@var "A" $$unsorted)) % 0.37/0.59 (define @t56 () (@var "B" $$unsorted)) % 0.37/0.59 (define @t57 () (tptp.at_the_same_time @t55 @t56)) % 0.37/0.59 (define @t58 () (tptp.once @t57)) % 0.37/0.59 (define @t59 () (@list @t55 @t56)) % 0.37/0.59 (define @t60 () (tptp.once @t55)) % 0.37/0.59 (define @t61 () (@list @t55)) % 0.37/0.59 (define @t62 () (tptp.trajectory_of @t52)) % 0.37/0.59 (define @t63 () (@list @t52)) % 0.37/0.59 (define @t64 () (@var "P2" $$unsorted)) % 0.37/0.59 (define @t65 () (@var "Q2" $$unsorted)) % 0.37/0.59 (define @t66 () (tptp.trajectory_of @t51)) % 0.37/0.59 (define @t67 () (tptp.ordered_by @t66 @t65 @t64)) % 0.37/0.59 (define @t68 () (@var "Q1" $$unsorted)) % 0.37/0.59 (define @t69 () (@var "P1" $$unsorted)) % 0.37/0.59 (define @t70 () (tptp.ordered_by @t62 @t69 @t68)) % 0.37/0.59 (define @t71 () (not (and @t70 @t67))) % 0.37/0.59 (define @t72 () (tptp.once (tptp.at_the_same_time (tptp.at @t52 @t68) (tptp.at @t51 @t65)))) % 0.37/0.59 (define @t73 () (tptp.once (tptp.at_the_same_time (tptp.at @t52 @t69) (tptp.at @t51 @t64)))) % 0.37/0.59 (define @t74 () (and @t73 @t72)) % 0.37/0.59 (define @t75 () (@list @t69 @t64 @t68 @t65 @t52 @t51)) % 0.37/0.59 (define @t76 () (forall @t75 (=> @t74 @t71))) % 0.37/0.59 (define @t77 () (not @t72)) % 0.37/0.59 (define @t78 () (tptp.ordered_by @t62 @t2 @t68)) % 0.37/0.59 (define @t79 () (tptp.ordered_by @t66 @t65 @t2)) % 0.37/0.59 (define @t80 () (and @t79 @t78)) % 0.37/0.59 (define @t81 () (@list @t68 @t65)) % 0.37/0.59 (define @t82 () (forall @t81 (=> @t80 @t77))) % 0.37/0.59 (define @t83 () (=> @t54 @t82)) % 0.37/0.59 (define @t84 () (@list @t2 @t52 @t51)) % 0.37/0.59 (define @t85 () (forall @t84 @t83)) % 0.37/0.59 (define @t86 () (not @t85)) % 0.37/0.59 (define @t87 () (not @t67)) % 0.37/0.59 (define @t88 () (not @t70)) % 0.37/0.59 (define @t89 () (not @t73)) % 0.37/0.59 (define @t90 () (or @t89 @t77 @t88 @t87)) % 0.37/0.59 (define @t91 () (@var "BOUND_VARIABLE_8051" $$unsorted)) % 0.37/0.59 (define @t92 () (@var "BOUND_VARIABLE_8049" $$unsorted)) % 0.37/0.59 (define @t93 () (not (tptp.once (tptp.at_the_same_time (tptp.at @t52 @t92) (tptp.at @t51 @t91))))) % 0.37/0.59 (define @t94 () (not (tptp.ordered_by @t62 @t2 @t92))) % 0.37/0.59 (define @t95 () (not (tptp.ordered_by @t66 @t91 @t2))) % 0.37/0.59 (define @t96 () (not @t54)) % 0.37/0.59 (define @t97 () (or @t96 @t95 @t94 @t93)) % 0.37/0.59 (define @t98 () (@list @t2 @t52 @t51 @t92 @t91)) % 0.37/0.59 (define @t99 () (forall @t98 @t97)) % 0.37/0.59 (define @t100 () (@quantifiers_skolemize @t99 0)) % 0.37/0.59 (define @t101 () (@quantifiers_skolemize @t99 2)) % 0.37/0.59 (define @t102 () (@quantifiers_skolemize @t99 1)) % 0.37/0.59 (define @t103 () (or @t95 @t94 @t93)) % 0.37/0.59 (define @t104 () (or @t96 @t103)) % 0.37/0.59 (define @t105 () (forall @t98 @t104)) % 0.37/0.59 (define @t106 () (@list @t92 @t91)) % 0.37/0.59 (define @t107 () (forall @t106 @t104)) % 0.37/0.59 (define @t108 () (forall @t106 @t103)) % 0.37/0.59 (define @t109 () (or @t96 @t108)) % 0.37/0.59 (define @t110 () (not @t78)) % 0.37/0.59 (define @t111 () (not @t79)) % 0.37/0.59 (define @t112 () (or @t111 @t110 @t77)) % 0.37/0.59 (define @t113 () (forall @t81 @t112)) % 0.37/0.59 (define @t114 () (tptp.connect @t102 @t101 @t100)) % 0.37/0.59 (define @t115 () (@quantifiers_skolemize @t99 4)) % 0.37/0.59 (define @t116 () (@quantifiers_skolemize @t99 3)) % 0.37/0.59 (define @t117 () (tptp.once (tptp.at_the_same_time (tptp.at @t102 @t116) (tptp.at @t101 @t115)))) % 0.37/0.59 (define @t118 () (not @t117)) % 0.37/0.59 (define @t119 () (tptp.ordered_by (tptp.trajectory_of @t102) @t100 @t116)) % 0.37/0.59 (define @t120 () (not @t119)) % 0.37/0.59 (define @t121 () (tptp.ordered_by (tptp.trajectory_of @t101) @t115 @t100)) % 0.37/0.59 (define @t122 () (not @t121)) % 0.37/0.59 (define @t123 () (not @t114)) % 0.37/0.59 (define @t124 () (or @t123 @t122 @t120 @t118)) % 0.37/0.59 (define @t125 () (@list true)) % 0.37/0.59 (define @t126 () (@list @t124)) % 0.37/0.59 (define @t127 () (tptp.once (tptp.at_the_same_time (tptp.at @t102 @t100) (tptp.at @t101 @t100)))) % 0.37/0.59 (define @t128 () (= @t114 @t127)) % 0.37/0.59 (define @t129 () (not @t127)) % 0.37/0.59 (define @t130 () (or @t129 @t118 @t120 @t122)) % 0.37/0.59 (define @t131 () (not @t130)) % 0.37/0.59 (define @t132 () (forall @t75 @t90)) % 0.37/0.59 (assume @p1 (forall @t8 (= @t7 (forall @t6 (=> @t5 @t3))))) % 0.37/0.59 (assume @p2 (forall (@list @t1 @t4 @t9) (= @t14 (forall @t13 (= @t12 (or @t11 (tptp.incident_c @t10 @t9))))))) % 0.37/0.59 (assume @p3 (forall @t20 (= @t19 (and @t3 (forall @t18 (=> (and @t7 @t17 @t5 (tptp.incident_c @t2 @t9)) (or @t16 @t15))))))) % 0.37/0.59 (assume @p4 (forall @t20 (= @t21 (and @t3 (not @t19))))) % 0.37/0.59 (assume @p5 (forall (@list @t2 @t1 @t4) (= (tptp.meet @t2 @t1 @t4) (and @t3 @t5 (forall @t13 (=> (and @t12 @t11) (and @t23 @t22))))))) % 0.37/0.59 (assume @p6 (forall @t26 (= @t25 (not @t24)))) % 0.37/0.59 (assume @p7 (forall @t26 (= @t27 @t24))) % 0.37/0.59 (assume @p8 (forall @t8 (=> (and @t7 (not (= @t4 @t1))) (tptp.open @t4)))) % 0.37/0.59 (assume @p9 (forall (@list @t1 @t4 @t9 @t28) (=> (and @t7 @t17 (tptp.part_of @t28 @t1) (exists @t6 (and (tptp.end_point @t2 @t4) (tptp.end_point @t2 @t9) (tptp.end_point @t2 @t28)))) (or (tptp.part_of @t9 @t28) (tptp.part_of @t28 @t9) @t16 @t15 (tptp.part_of @t4 @t28) (tptp.part_of @t28 @t4))))) % 0.37/0.59 (assume @p10 (forall @t26 (exists @t6 @t21))) % 0.37/0.59 (assume @p11 (forall @t30 (=> @t21 (exists @t18 (and @t29 @t14))))) % 0.37/0.59 (assume @p12 (forall @t34 (=> (and @t19 @t23 (tptp.end_point @t31 @t1)) (or @t33 @t32 (= @t10 @t31))))) % 0.37/0.59 (assume @p13 (forall @t30 (=> @t19 (exists @t13 (and @t23 @t35))))) % 0.37/0.59 (assume @p14 (forall (@list @t1 @t4 @t9 @t2) (=> (and @t25 @t29 @t14) (forall @t13 (=> @t22 (tptp.meet @t10 @t4 @t9)))))) % 0.37/0.59 (assume @p15 (forall @t18 (=> (exists @t6 @t29) (exists @t26 @t14)))) % 0.37/0.59 (assume @p16 (forall @t8 (=> (forall @t6 (= @t3 @t5)) (= @t1 @t4)))) % 0.37/0.59 (assume @p17 (forall @t34 (= @t37 (and (not @t32) (exists (@list @t36) (and (tptp.part_of @t36 @t1) (tptp.end_point @t2 @t36) (tptp.end_point @t31 @t36) (tptp.inner_point @t10 @t36))))))) % 0.37/0.59 (assume @p18 (forall (@list @t38 @t2 @t10 @t31) (= @t41 (or (and @t40 (tptp.ordered_by @t38 @t10 @t31)) (and (tptp.ordered_by @t38 @t31 @t10) @t39))))) % 0.37/0.59 (assume @p19 (forall @t46 (= @t45 (and @t44 (forall @t13 (=> @t43 @t40)))))) % 0.37/0.59 (assume @p20 (forall @t46 (= (tptp.finish_point @t2 @t38) (and @t44 (forall @t13 (=> @t43 @t39)))))) % 0.37/0.59 (assume @p21 (forall (@list @t38 @t2 @t10) (=> @t40 (and @t44 @t42)))) % 0.37/0.59 (assume @p22 (forall @t48 (exists @t26 (and @t27 @t47)))) % 0.37/0.59 (assume @p23 (forall (@list @t2 @t10 @t31 @t38) (= @t41 (exists @t26 (and @t47 @t37))))) % 0.37/0.59 (assume @p24 (forall @t48 (exists @t6 @t45))) % 0.37/0.59 (assume @p25 (forall (@list @t2 @t10 @t1) (=> (and @t27 @t35 @t3 @t12) (exists @t48 (and (forall (@list @t31) (= (tptp.incident_o @t31 @t38) (tptp.incident_c @t31 @t1))) @t40))))) % 0.37/0.59 (assume @p26 (forall (@list @t50 @t49) (=> (forall (@list @t2 @t10) (= (tptp.ordered_by @t50 @t2 @t10) (tptp.ordered_by @t49 @t2 @t10))) (= @t50 @t49)))) % 0.37/0.59 (assume @p27 (forall (@list @t1 @t38) (= (= @t1 (tptp.underlying_curve @t38)) @t47))) % 0.37/0.59 (assume @p28 (forall (@list @t52 @t51 @t2) (= @t54 (tptp.once (tptp.at_the_same_time @t53 (tptp.at @t51 @t2)))))) % 0.37/0.59 (assume @p29 (forall @t59 (= @t58 (tptp.once (tptp.at_the_same_time @t56 @t55))))) % 0.37/0.59 (assume @p30 (forall (@list @t55 @t56 @t1) (= (tptp.once (tptp.at_the_same_time @t57 @t1)) (tptp.once (tptp.at_the_same_time @t55 (tptp.at_the_same_time @t56 @t1)))))) % 0.37/0.59 (assume @p31 (forall @t61 (=> @t60 (tptp.once (tptp.at_the_same_time @t55 @t55))))) % 0.37/0.59 (assume @p32 (forall @t59 (=> @t58 (and @t60 (tptp.once @t56))))) % 0.37/0.59 (assume @p33 (forall (@list @t52 @t2) (= (tptp.once @t53) (tptp.incident_o @t2 @t62)))) % 0.37/0.59 (assume @p34 (forall @t63 (exists @t48 (= @t62 @t38)))) % 0.37/0.59 (assume @p35 @t76) % 0.37/0.59 (assume @p36 (forall @t61 (=> @t60 (forall @t63 (exists @t6 (tptp.once (tptp.at_the_same_time @t55 @t53))))))) % 0.37/0.59 (assume @p37 @t86) % 0.37/0.59 (assume @p38 true) % 0.37/0.59 (step @p39 :rule aci_norm :args ((= (or (or @t89 @t77) (or @t88 @t87)) @t90))) % 0.37/0.59 (step @p40 :rule bool-and-de-morgan :args (@t70 @t67 true)) % 0.37/0.59 (step @p41 :rule bool-and-de-morgan :args (@t73 @t72 true)) % 0.37/0.59 (step @p42 :rule nary_cong :premises (@p41 @p40) :args ((or (not @t74) @t71))) % 0.37/0.59 (step @p43 :rule trans :premises (@p42 @p39)) % 0.37/0.59 (step @p44 :rule bool-impl-elim :args (@t74 @t71)) % 0.37/0.59 (step @p45 :rule trans :premises (@p44 @p43)) % 0.37/0.59 (step @p46 :rule cong :premises (@p45) :args (@t76)) % 0.37/0.59 (step @p47 :rule eq_resolve :premises (@p35 @p46)) % 0.37/0.59 (step @p48 :rule instantiate :premises (@p28) :args ((@list @t102 @t101 @t100))) % 0.37/0.59 (step @p49 :rule aci_norm :args ((= @t104 @t97))) % 0.37/0.59 (step @p50 :rule cong :premises (@p49) :args (@t105)) % 0.37/0.59 (step @p51 :rule quant-merge-prenex :args ((= (forall @t84 @t107) @t105))) % 0.37/0.59 (step @p52 :rule alpha_equiv :args (@t108 (@list @t92 @t91) (@list @t68 @t65))) % 0.37/0.59 (step @p53 :rule refl :args (@t96)) % 0.37/0.59 (step @p54 :rule nary_cong :premises (@p53 @p52) :args (@t109)) % 0.37/0.59 (step @p55 :rule quant-miniscope-or :args ((= @t107 @t109))) % 0.37/0.59 (step @p56 :rule trans :premises (@p55 @p54)) % 0.37/0.59 (step @p57 :rule symm :premises (@p56)) % 0.37/0.59 (step @p58 :rule cong :premises (@p57) :args ((forall @t84 (or @t96 @t113)))) % 0.37/0.59 (step @p59 :rule trans :premises (@p58 @p51)) % 0.37/0.59 (step @p60 :rule trans :premises (@p59 @p50)) % 0.37/0.59 (step @p61 :rule bool-impl-elim :args (@t54 @t113)) % 0.37/0.59 (step @p62 :rule cong :premises (@p61) :args ((forall @t84 (=> @t54 @t113)))) % 0.37/0.59 (step @p63 :rule trans :premises (@p62 @p60)) % 0.37/0.59 (step @p64 :rule aci_norm :args ((= (or (or @t111 @t110) @t77) @t112))) % 0.37/0.59 (step @p65 :rule refl :args (@t77)) % 0.37/0.59 (step @p66 :rule bool-and-de-morgan :args (@t79 @t78 true)) % 0.37/0.59 (step @p67 :rule nary_cong :premises (@p66 @p65) :args ((or (not @t80) @t77))) % 0.37/0.59 (step @p68 :rule trans :premises (@p67 @p64)) % 0.37/0.59 (step @p69 :rule bool-impl-elim :args (@t80 @t77)) % 0.37/0.59 (step @p70 :rule trans :premises (@p69 @p68)) % 0.37/0.59 (step @p71 :rule cong :premises (@p70) :args (@t82)) % 0.37/0.59 (step @p72 :rule refl :args (@t54)) % 0.37/0.59 (step @p73 :rule cong :premises (@p72 @p71) :args (@t83)) % 0.37/0.59 (step @p74 :rule cong :premises (@p73) :args (@t85)) % 0.37/0.59 (step @p75 :rule trans :premises (@p74 @p63)) % 0.37/0.59 (step @p76 :rule cong :premises (@p75) :args (@t86)) % 0.37/0.59 (step @p77 :rule eq_resolve :premises (@p37 @p76)) % 0.37/0.59 (step @p78 :rule skolemize :premises (@p77)) % 0.37/0.59 (step @p79 :rule bool-double-not-elim :args (@t114)) % 0.37/0.59 (step @p80 :rule refl :args (@t124)) % 0.37/0.59 (step @p81 :rule nary_cong :premises (@p80 @p79) :args ((or @t124 (not @t123)))) % 0.37/0.59 (step @p82 :rule cnf_or_neg :args (@t124 0)) % 0.37/0.59 (step @p83 :rule eq_resolve :premises (@p82 @p81)) % 0.37/0.59 (step @p84 :rule reordering :premises (@p83) :args ((or @t114 @t124))) % 0.37/0.59 (step @p85 :rule chain_m_resolution :premises (@p84 @p78) :args (@t114 @t125 @t126)) % 0.37/0.59 (step @p86 :rule cnf_equiv_pos1 :args (@t128)) % 0.37/0.59 (step @p87 :rule reordering :premises (@p86) :args ((or @t123 @t127 (not @t128)))) % 0.37/0.59 (step @p88 :rule chain_m_resolution :premises (@p87 @p85 @p48) :args (@t127 (@list false false) (@list @t114 @t128))) % 0.37/0.59 (step @p89 :rule bool-double-not-elim :args (@t117)) % 0.37/0.59 (step @p90 :rule nary_cong :premises (@p80 @p89) :args ((or @t124 (not @t118)))) % 0.37/0.59 (step @p91 :rule cnf_or_neg :args (@t124 3)) % 0.37/0.59 (step @p92 :rule eq_resolve :premises (@p91 @p90)) % 0.37/0.59 (step @p93 :rule reordering :premises (@p92) :args ((or @t117 @t124))) % 0.37/0.59 (step @p94 :rule chain_m_resolution :premises (@p93 @p78) :args (@t117 @t125 @t126)) % 0.37/0.59 (step @p95 :rule bool-double-not-elim :args (@t119)) % 0.37/0.59 (step @p96 :rule nary_cong :premises (@p80 @p95) :args ((or @t124 (not @t120)))) % 0.37/0.59 (step @p97 :rule cnf_or_neg :args (@t124 2)) % 0.37/0.59 (step @p98 :rule eq_resolve :premises (@p97 @p96)) % 0.37/0.59 (step @p99 :rule reordering :premises (@p98) :args ((or @t119 @t124))) % 0.37/0.59 (step @p100 :rule chain_m_resolution :premises (@p99 @p78) :args (@t119 @t125 @t126)) % 0.37/0.59 (step @p101 :rule bool-double-not-elim :args (@t121)) % 0.37/0.59 (step @p102 :rule nary_cong :premises (@p80 @p101) :args ((or @t124 (not @t122)))) % 0.37/0.59 (step @p103 :rule cnf_or_neg :args (@t124 1)) % 0.37/0.59 (step @p104 :rule eq_resolve :premises (@p103 @p102)) % 0.37/0.59 (step @p105 :rule reordering :premises (@p104) :args ((or @t121 @t124))) % 0.37/0.59 (step @p106 :rule chain_m_resolution :premises (@p105 @p78) :args (@t121 @t125 @t126)) % 0.37/0.59 (step @p107 :rule cnf_or_pos :args (@t130)) % 0.37/0.59 (step @p108 :rule reordering :premises (@p107) :args ((or @t122 @t120 @t118 @t129 @t131))) % 0.37/0.59 (step @p109 :rule chain_m_resolution :premises (@p108 @p106 @p100 @p94 @p88) :args (@t131 (@list false false false false) (@list @t121 @t119 @t117 @t127))) % 0.37/0.59 (assume-push @p116 @t132) % 0.37/0.59 (step @p111 :rule instantiate :premises (@p47) :args ((@list @t100 @t100 @t116 @t115 @t102 @t101))) % 0.37/0.59 (step-pop @p117 :rule scope :premises (@p111)) % 0.37/0.59 (step @p112 :rule process_scope :premises (@p117) :args (@t130)) % 0.37/0.59 (step @p114 :rule implies_elim :premises (@p112)) % 0.37/0.59 (step @p115 false :rule chain_m_resolution :premises (@p114 @p109 @p47) :args (false (@list true false) (@list @t130 @t132))) % 0.37/0.59 ) % 0.37/0.59 % SZS output end Proof % 0.37/0.59 % cvc5 exiting %------------------------------------------------------------------------------