%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : COL092-1 : TPTP v9.2.1. Released v2.7.0. % 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 08:09:57 AM UTC 2026 % Result : Unsatisfiable 0.96s 1.17s % Output : Proof 0.96s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : COL092-1 : TPTP v9.2.1. Released v2.7.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.14/0.34 % Computer : n017.cluster.edu % 0.14/0.34 % Model : x86_64 x86_64 % 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.34 % Memory : 8042.1875MB % 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.34 % CPULimit : 300 % 0.14/0.34 % WCLimit : 300 % 0.14/0.34 % DateTime : Mon Jun 1 20:22:01 EDT 2026 % 0.14/0.34 % CPUTime : % 0.30/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.30/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.96/1.17 % SZS status Unsatisfiable % 0.96/1.17 % SZS output start Proof % 0.96/1.18 ( % 0.96/1.18 (declare-sort $$unsorted 0) % 0.96/1.18 (declare-const tptp.p $$unsorted) % 0.96/1.18 (declare-const tptp.r $$unsorted) % 0.96/1.18 (declare-const tptp.ap_parcontractE_c1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.96/1.18 (declare-const tptp.ap_parcontractE_c4 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.96/1.18 (declare-const tptp.ap_contractE_sk2q (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.96/1.18 (declare-const tptp.ap_parcontractE_c2 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.96/1.18 (declare-const tptp.combS $$unsorted) % 0.96/1.18 (declare-const tptp.ap_contractE_sk1p (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.96/1.18 (declare-const tptp.comb_app (-> $$unsorted $$unsorted $$unsorted)) % 0.96/1.18 (declare-const tptp.rtrancl (-> $$unsorted $$unsorted)) % 0.96/1.18 (declare-const tptp.ap_parcontractE_sk1q (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.96/1.18 (declare-const tptp.ap_parcontractE_c3 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.96/1.18 (declare-const tptp.combK $$unsorted) % 0.96/1.18 (declare-const tptp.comb $$unsorted) % 0.96/1.18 (declare-const tptp.ap_parcontractE_sk1p (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.96/1.18 (declare-const tptp.ap_contractE_c2 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.96/1.18 (declare-const tptp.member (-> $$unsorted $$unsorted Bool)) % 0.96/1.18 (declare-const tptp.ap_parcontractE_sk2s (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.96/1.18 (declare-const tptp.ap_contractE_c4 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.96/1.18 (declare-const tptp.ap_parcontractE_sk2q (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.96/1.18 (declare-const tptp.contract $$unsorted) % 0.96/1.18 (declare-const tptp.parcontract $$unsorted) % 0.96/1.18 (declare-const tptp.pair (-> $$unsorted $$unsorted $$unsorted)) % 0.96/1.18 (declare-const tptp.ap_contractE_sk3q (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.96/1.18 (declare-const tptp.ap_contractE_c3 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.96/1.18 (declare-const tptp.ap_contractE_sk1q (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.96/1.18 (declare-const tptp.ap_contractE_c1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.96/1.18 (define @t1 () (@var "Q" $$unsorted)) % 0.96/1.18 (define @t2 () (@var "P" $$unsorted)) % 0.96/1.18 (define @t3 () (tptp.comb_app @t2 @t1)) % 0.96/1.18 (define @t4 () (@list @t2 @t1)) % 0.96/1.18 (define @t5 () (@var "P2" $$unsorted)) % 0.96/1.18 (define @t6 () (@var "P1" $$unsorted)) % 0.96/1.18 (define @t7 () (= @t6 @t5)) % 0.96/1.18 (define @t8 () (@var "Q2" $$unsorted)) % 0.96/1.18 (define @t9 () (@var "Q1" $$unsorted)) % 0.96/1.18 (define @t10 () (= (tptp.comb_app @t6 @t9) (tptp.comb_app @t5 @t8))) % 0.96/1.18 (define @t11 () (not @t10)) % 0.96/1.18 (define @t12 () (@list @t6 @t9 @t5 @t8)) % 0.96/1.18 (define @t13 () (= @t9 @t8)) % 0.96/1.18 (define @t14 () (tptp.member @t2 tptp.comb)) % 0.96/1.18 (define @t15 () (tptp.member @t3 tptp.comb)) % 0.96/1.18 (define @t16 () (not @t15)) % 0.96/1.18 (define @t17 () (tptp.member @t1 tptp.comb)) % 0.96/1.18 (define @t18 () (tptp.member tptp.combK tptp.comb)) % 0.96/1.18 (define @t19 () (tptp.member tptp.combS tptp.comb)) % 0.96/1.18 (define @t20 () (not @t17)) % 0.96/1.18 (define @t21 () (not @t14)) % 0.96/1.18 (define @t22 () (@var "A" $$unsorted)) % 0.96/1.18 (define @t23 () (tptp.pair (tptp.comb_app (tptp.comb_app tptp.combK @t2) @t1) @t2)) % 0.96/1.18 (define @t24 () (@var "R" $$unsorted)) % 0.96/1.18 (define @t25 () (tptp.comb_app @t2 @t24)) % 0.96/1.18 (define @t26 () (tptp.pair (tptp.comb_app (tptp.comb_app (tptp.comb_app tptp.combS @t2) @t1) @t24) (tptp.comb_app @t25 (tptp.comb_app @t1 @t24)))) % 0.96/1.18 (define @t27 () (tptp.member @t24 tptp.comb)) % 0.96/1.18 (define @t28 () (not @t27)) % 0.96/1.18 (define @t29 () (@list @t2 @t1 @t24)) % 0.96/1.18 (define @t30 () (tptp.ap_contractE_c4 @t2 @t1 @t24)) % 0.96/1.18 (define @t31 () (tptp.ap_contractE_c3 @t2 @t1 @t24)) % 0.96/1.18 (define @t32 () (tptp.ap_contractE_c2 @t2 @t1 @t24)) % 0.96/1.18 (define @t33 () (tptp.ap_contractE_c1 @t2 @t1 @t24)) % 0.96/1.18 (define @t34 () (tptp.pair @t3 @t24)) % 0.96/1.18 (define @t35 () (not @t33)) % 0.96/1.18 (define @t36 () (= @t2 (tptp.comb_app tptp.combK @t24))) % 0.96/1.18 (define @t37 () (tptp.ap_contractE_sk1p @t2 @t1 @t24)) % 0.96/1.18 (define @t38 () (not @t32)) % 0.96/1.18 (define @t39 () (tptp.ap_contractE_sk1q @t2 @t1 @t24)) % 0.96/1.18 (define @t40 () (tptp.ap_contractE_sk2q @t2 @t1 @t24)) % 0.96/1.18 (define @t41 () (not @t31)) % 0.96/1.18 (define @t42 () (tptp.ap_contractE_sk3q @t2 @t1 @t24)) % 0.96/1.18 (define @t43 () (not @t30)) % 0.96/1.18 (define @t44 () (tptp.pair tptp.combK @t24)) % 0.96/1.18 (define @t45 () (@list @t24)) % 0.96/1.18 (define @t46 () (tptp.pair tptp.combS @t24)) % 0.96/1.18 (define @t47 () (@var "S" $$unsorted)) % 0.96/1.18 (define @t48 () (not (tptp.member @t44 tptp.parcontract))) % 0.96/1.18 (define @t49 () (or @t48 (= @t24 tptp.combK))) % 0.96/1.18 (define @t50 () (forall @t45 @t49)) % 0.96/1.18 (define @t51 () (not (tptp.member @t46 tptp.parcontract))) % 0.96/1.18 (define @t52 () (tptp.ap_parcontractE_c4 @t2 @t1 @t24)) % 0.96/1.18 (define @t53 () (tptp.ap_parcontractE_c3 @t2 @t1 @t24)) % 0.96/1.18 (define @t54 () (tptp.ap_parcontractE_c2 @t2 @t1 @t24)) % 0.96/1.18 (define @t55 () (tptp.ap_parcontractE_c1 @t2 @t1 @t24)) % 0.96/1.18 (define @t56 () (not @t55)) % 0.96/1.18 (define @t57 () (or @t56 (= @t24 @t3))) % 0.96/1.18 (define @t58 () (forall @t29 @t57)) % 0.96/1.18 (define @t59 () (not @t54)) % 0.96/1.18 (define @t60 () (tptp.ap_parcontractE_sk1p @t2 @t1 @t24)) % 0.96/1.18 (define @t61 () (not @t53)) % 0.96/1.18 (define @t62 () (tptp.ap_parcontractE_sk1q @t2 @t1 @t24)) % 0.96/1.18 (define @t63 () (tptp.ap_parcontractE_sk2q @t2 @t1 @t24)) % 0.96/1.18 (define @t64 () (not @t52)) % 0.96/1.18 (define @t65 () (tptp.ap_parcontractE_sk2s @t2 @t1 @t24)) % 0.96/1.18 (define @t66 () (tptp.comb_app tptp.combK tptp.p)) % 0.96/1.18 (define @t67 () (tptp.member (tptp.pair @t66 tptp.r) tptp.parcontract)) % 0.96/1.18 (define @t68 () (@var "PP" $$unsorted)) % 0.96/1.18 (define @t69 () (@list tptp.combK tptp.p tptp.r)) % 0.96/1.18 (define @t70 () (tptp.ap_parcontractE_sk1q tptp.combK tptp.p tptp.r)) % 0.96/1.18 (define @t71 () (tptp.comb_app tptp.combS (tptp.ap_parcontractE_sk1p tptp.combK tptp.p tptp.r))) % 0.96/1.18 (define @t72 () (= tptp.combK (tptp.comb_app @t71 @t70))) % 0.96/1.18 (define @t73 () (tptp.ap_parcontractE_c3 tptp.combK tptp.p tptp.r)) % 0.96/1.18 (define @t74 () (not @t73)) % 0.96/1.18 (define @t75 () (or @t74 @t72)) % 0.96/1.18 (define @t76 () (@list true false)) % 0.96/1.18 (define @t77 () (= tptp.combK (tptp.comb_app tptp.combK tptp.r))) % 0.96/1.18 (define @t78 () (tptp.ap_parcontractE_c2 tptp.combK tptp.p tptp.r)) % 0.96/1.18 (define @t79 () (not @t78)) % 0.96/1.18 (define @t80 () (or @t79 @t77)) % 0.96/1.18 (define @t81 () (tptp.ap_parcontractE_c1 tptp.combK tptp.p tptp.r)) % 0.96/1.18 (define @t82 () (not @t81)) % 0.96/1.18 (define @t83 () (or @t82 (= @t66 tptp.r))) % 0.96/1.18 (define @t84 () (forall @t29 (or @t56 (= @t3 @t24)))) % 0.96/1.18 (define @t85 () (= tptp.r @t66)) % 0.96/1.18 (define @t86 () (or @t82 @t85)) % 0.96/1.18 (define @t87 () (tptp.member @t66 tptp.comb)) % 0.96/1.18 (define @t88 () (or @t82 @t87)) % 0.96/1.18 (define @t89 () (@list tptp.p)) % 0.96/1.18 (define @t90 () (tptp.member (tptp.pair tptp.p tptp.p) tptp.parcontract)) % 0.96/1.18 (define @t91 () (not @t90)) % 0.96/1.18 (define @t92 () (not @t85)) % 0.96/1.18 (define @t93 () (or @t92 @t91)) % 0.96/1.18 (define @t94 () (tptp.member tptp.p tptp.comb)) % 0.96/1.18 (define @t95 () (not @t87)) % 0.96/1.18 (define @t96 () (or @t95 @t94)) % 0.96/1.18 (define @t97 () (not @t94)) % 0.96/1.18 (define @t98 () (or @t97 @t90)) % 0.96/1.18 (define @t99 () (tptp.ap_parcontractE_c4 tptp.combK tptp.p tptp.r)) % 0.96/1.18 (define @t100 () (not @t67)) % 0.96/1.18 (define @t101 () (or @t100 @t81 @t78 @t73 @t99)) % 0.96/1.18 (define @t102 () (tptp.ap_parcontractE_sk2s tptp.combK tptp.p tptp.r)) % 0.96/1.18 (define @t103 () (tptp.ap_parcontractE_sk2q tptp.combK tptp.p tptp.r)) % 0.96/1.18 (define @t104 () (tptp.comb_app @t103 @t102)) % 0.96/1.18 (define @t105 () (= tptp.r @t104)) % 0.96/1.18 (define @t106 () (not @t99)) % 0.96/1.18 (define @t107 () (or @t106 @t105)) % 0.96/1.18 (define @t108 () (@list false false)) % 0.96/1.18 (define @t109 () (tptp.member (tptp.pair tptp.combK @t103) tptp.parcontract)) % 0.96/1.18 (define @t110 () (or @t106 @t109)) % 0.96/1.18 (define @t111 () (= tptp.combK @t103)) % 0.96/1.18 (define @t112 () (not @t109)) % 0.96/1.18 (define @t113 () (or @t112 @t111)) % 0.96/1.18 (define @t114 () (tptp.member (tptp.pair tptp.p @t102) tptp.parcontract)) % 0.96/1.18 (define @t115 () (or @t106 @t114)) % 0.96/1.18 (define @t116 () (not @t114)) % 0.96/1.18 (define @t117 () (= tptp.r (tptp.comb_app tptp.combK @t102))) % 0.96/1.18 (define @t118 () (not @t117)) % 0.96/1.18 (define @t119 () (or @t118 @t116)) % 0.96/1.18 (define @t120 () (and @t105 @t111)) % 0.96/1.18 (assume @p1 (not (= tptp.combK tptp.combS))) % 0.96/1.18 (assume @p2 (forall @t4 (not (= tptp.combK @t3)))) % 0.96/1.18 (assume @p3 (forall @t4 (not (= tptp.combS @t3)))) % 0.96/1.18 (assume @p4 (forall @t12 (or @t11 @t7))) % 0.96/1.18 (assume @p5 (forall @t12 (or @t11 @t13))) % 0.96/1.18 (assume @p6 (forall (@list @t6 @t5 @t9 @t8) (or (not @t7) (not @t13) @t10))) % 0.96/1.18 (assume @p7 (forall @t4 (or @t16 @t14))) % 0.96/1.18 (assume @p8 (forall @t4 (or @t16 @t17))) % 0.96/1.18 (assume @p9 @t18) % 0.96/1.18 (assume @p10 @t19) % 0.96/1.18 (assume @p11 (forall @t4 (or @t21 @t20 @t15))) % 0.96/1.18 (assume @p12 (forall (@list @t22) (or (not (tptp.member @t22 tptp.comb)) (tptp.member (tptp.pair @t22 @t22) (tptp.rtrancl tptp.contract))))) % 0.96/1.18 (assume @p13 (forall @t4 (or @t21 @t20 (tptp.member @t23 tptp.contract)))) % 0.96/1.18 (assume @p14 (forall @t29 (or @t21 @t20 @t28 (tptp.member @t26 tptp.contract)))) % 0.96/1.18 (assume @p15 (forall @t29 (or (not (tptp.member @t34 tptp.contract)) @t33 @t32 @t31 @t30))) % 0.96/1.18 (assume @p16 (forall @t29 (or @t35 @t27))) % 0.96/1.18 (assume @p17 (forall @t29 (or @t35 @t17))) % 0.96/1.18 (assume @p18 (forall @t29 (or @t35 @t36))) % 0.96/1.18 (assume @p19 (forall @t29 (or @t38 (tptp.member @t37 tptp.comb)))) % 0.96/1.18 (assume @p20 (forall @t29 (or @t38 (tptp.member @t39 tptp.comb)))) % 0.96/1.18 (assume @p21 (forall @t29 (or @t38 @t17))) % 0.96/1.18 (assume @p22 (forall @t29 (or @t38 (= @t24 (tptp.comb_app (tptp.comb_app @t37 @t1) (tptp.comb_app @t39 @t1)))))) % 0.96/1.18 (assume @p23 (forall @t29 (or @t38 (= @t2 (tptp.comb_app (tptp.comb_app tptp.combS @t37) @t39))))) % 0.96/1.18 (assume @p24 (forall @t29 (or @t41 (tptp.member (tptp.pair @t2 @t40) tptp.contract)))) % 0.96/1.18 (assume @p25 (forall @t29 (or @t41 @t17))) % 0.96/1.18 (assume @p26 (forall @t29 (or @t41 (= @t24 (tptp.comb_app @t40 @t1))))) % 0.96/1.18 (assume @p27 (forall @t29 (or @t43 (tptp.member (tptp.pair @t1 @t42) tptp.contract)))) % 0.96/1.18 (assume @p28 (forall @t29 (or @t43 @t14))) % 0.96/1.18 (assume @p29 (forall @t29 (or @t43 (= @t24 (tptp.comb_app @t2 @t42))))) % 0.96/1.18 (assume @p30 (forall @t45 (not (tptp.member @t44 tptp.contract)))) % 0.96/1.18 (assume @p31 (forall @t45 (not (tptp.member @t46 tptp.contract)))) % 0.96/1.18 (assume @p32 (forall (@list @t2) (or @t21 (tptp.member (tptp.pair @t2 @t2) tptp.parcontract)))) % 0.96/1.18 (assume @p33 (forall @t4 (or @t21 @t20 (tptp.member @t23 tptp.parcontract)))) % 0.96/1.18 (assume @p34 (forall @t29 (or @t21 @t20 @t28 (tptp.member @t26 tptp.parcontract)))) % 0.96/1.18 (assume @p35 (forall (@list @t2 @t1 @t24 @t47) (or (not (tptp.member (tptp.pair @t2 @t1) tptp.parcontract)) (not (tptp.member (tptp.pair @t24 @t47) tptp.parcontract)) (tptp.member (tptp.pair @t25 (tptp.comb_app @t1 @t47)) tptp.parcontract)))) % 0.96/1.18 (assume @p36 (forall @t45 (or @t48 @t18))) % 0.96/1.18 (assume @p37 @t50) % 0.96/1.18 (assume @p38 (forall @t45 (or @t51 @t19))) % 0.96/1.18 (assume @p39 (forall @t45 (or @t51 (= @t24 tptp.combS)))) % 0.96/1.18 (assume @p40 (forall @t29 (or (not (tptp.member @t34 tptp.parcontract)) @t55 @t54 @t53 @t52))) % 0.96/1.18 (assume @p41 (forall @t29 (or @t56 @t15))) % 0.96/1.18 (assume @p42 @t58) % 0.96/1.18 (assume @p43 (forall @t29 (or @t59 @t27))) % 0.96/1.18 (assume @p44 (forall @t29 (or @t59 @t17))) % 0.96/1.18 (assume @p45 (forall @t29 (or @t59 @t36))) % 0.96/1.18 (assume @p46 (forall @t29 (or @t61 (tptp.member @t60 tptp.comb)))) % 0.96/1.18 (assume @p47 (forall @t29 (or @t61 (tptp.member @t62 tptp.comb)))) % 0.96/1.18 (assume @p48 (forall @t29 (or @t61 @t17))) % 0.96/1.18 (assume @p49 (forall @t29 (or @t61 (= @t24 (tptp.comb_app (tptp.comb_app @t60 @t1) (tptp.comb_app @t62 @t1)))))) % 0.96/1.18 (assume @p50 (forall @t29 (or @t61 (= @t2 (tptp.comb_app (tptp.comb_app tptp.combS @t60) @t62))))) % 0.96/1.18 (assume @p51 (forall @t29 (or @t64 (tptp.member (tptp.pair @t2 @t63) tptp.parcontract)))) % 0.96/1.18 (assume @p52 (forall @t29 (or @t64 (tptp.member (tptp.pair @t1 @t65) tptp.parcontract)))) % 0.96/1.18 (assume @p53 (forall @t29 (or @t64 (= @t24 (tptp.comb_app @t63 @t65))))) % 0.96/1.18 (assume @p54 @t67) % 0.96/1.18 (assume @p55 (forall (@list @t68) (or (not (= tptp.r (tptp.comb_app tptp.combK @t68))) (not (tptp.member (tptp.pair tptp.p @t68) tptp.parcontract))))) % 0.96/1.18 (step @p56 :rule instantiate :premises (@p53) :args (@t69)) % 0.96/1.18 (step @p57 :rule instantiate :premises (@p40) :args (@t69)) % 0.96/1.18 (step @p58 :rule instantiate :premises (@p50) :args (@t69)) % 0.96/1.18 (step @p59 :rule instantiate :premises (@p2) :args ((@list @t71 @t70))) % 0.96/1.18 (step @p60 :rule cnf_or_pos :args (@t75)) % 0.96/1.18 (step @p61 :rule reordering :premises (@p60) :args ((or @t74 @t72 (not @t75)))) % 0.96/1.18 (step @p62 :rule chain_m_resolution :premises (@p61 @p59 @p58) :args (@t74 @t76 (@list @t72 @t75))) % 0.96/1.18 (step @p63 :rule instantiate :premises (@p45) :args (@t69)) % 0.96/1.18 (step @p64 :rule instantiate :premises (@p2) :args ((@list tptp.combK tptp.r))) % 0.96/1.18 (step @p65 :rule cnf_or_pos :args (@t80)) % 0.96/1.18 (step @p66 :rule reordering :premises (@p65) :args ((or @t79 @t77 (not @t80)))) % 0.96/1.18 (step @p67 :rule chain_m_resolution :premises (@p66 @p64 @p63) :args (@t79 @t76 (@list @t77 @t80))) % 0.96/1.18 (step @p68 :rule eq-symm :args (@t24 @t3)) % 0.96/1.18 (step @p69 :rule refl :args (@t56)) % 0.96/1.18 (step @p70 :rule nary_cong :premises (@p69 @p68) :args (@t57)) % 0.96/1.18 (step @p71 :rule cong :premises (@p70) :args (@t58)) % 0.96/1.18 (step @p72 :rule eq_resolve :premises (@p42 @p71)) % 0.96/1.18 (step @p73 :rule eq-symm :args (@t66 tptp.r)) % 0.96/1.18 (step @p74 :rule refl :args (@t82)) % 0.96/1.18 (step @p75 :rule nary_cong :premises (@p74 @p73) :args (@t83)) % 0.96/1.18 (step @p76 :rule refl :args (@t84)) % 0.96/1.18 (step @p77 :rule cong :premises (@p76 @p75) :args ((=> @t84 @t83))) % 0.96/1.18 (assume-push @p141 @t84) % 0.96/1.18 (step @p79 :rule instantiate :premises (@p72) :args (@t69)) % 0.96/1.18 (step-pop @p142 :rule scope :premises (@p79)) % 0.96/1.18 (step @p80 :rule process_scope :premises (@p142) :args (@t83)) % 0.96/1.18 (step @p82 :rule eq_resolve :premises (@p80 @p77)) % 0.96/1.18 (step @p83 :rule implies_elim :premises (@p82)) % 0.96/1.18 (step @p84 :rule chain_m_resolution :premises (@p83 @p72) :args (@t86 (@list false) (@list @t84))) % 0.96/1.18 (step @p85 :rule cnf_or_pos :args (@t86)) % 0.96/1.18 (step @p86 :rule reordering :premises (@p85) :args ((or @t85 @t82 (not @t86)))) % 0.96/1.18 (step @p87 :rule instantiate :premises (@p41) :args (@t69)) % 0.96/1.18 (step @p88 :rule cnf_or_pos :args (@t88)) % 0.96/1.18 (step @p89 :rule reordering :premises (@p88) :args ((or @t87 @t82 (not @t88)))) % 0.96/1.18 (step @p90 :rule instantiate :premises (@p55) :args (@t89)) % 0.96/1.18 (step @p91 :rule cnf_or_pos :args (@t93)) % 0.96/1.18 (step @p92 :rule reordering :premises (@p91) :args ((or @t92 @t91 (not @t93)))) % 0.96/1.18 (step @p93 :rule instantiate :premises (@p8) :args ((@list tptp.combK tptp.p))) % 0.96/1.18 (step @p94 :rule cnf_or_pos :args (@t96)) % 0.96/1.18 (step @p95 :rule reordering :premises (@p94) :args ((or @t95 @t94 (not @t96)))) % 0.96/1.18 (step @p96 :rule instantiate :premises (@p32) :args (@t89)) % 0.96/1.18 (step @p97 :rule cnf_or_pos :args (@t98)) % 0.96/1.18 (step @p98 :rule reordering :premises (@p97) :args ((or @t97 @t90 (not @t98)))) % 0.96/1.18 (step @p99 :rule chain_m_resolution :premises (@p98 @p96 @p95 @p93 @p92 @p90 @p89 @p87 @p86 @p84) :args (@t82 (@list false false false true false false false false false) (@list @t98 @t94 @t96 @t90 @t93 @t87 @t88 @t85 @t86))) % 0.96/1.18 (step @p100 :rule cnf_or_pos :args (@t101)) % 0.96/1.18 (step @p101 :rule reordering :premises (@p100) :args ((or @t100 @t81 @t78 @t73 @t99 (not @t101)))) % 0.96/1.18 (step @p102 :rule chain_m_resolution :premises (@p101 @p54 @p99 @p67 @p62 @p57) :args (@t99 (@list false true true true false) (@list @t67 @t81 @t78 @t73 @t101))) % 0.96/1.18 (step @p103 :rule cnf_or_pos :args (@t107)) % 0.96/1.18 (step @p104 :rule reordering :premises (@p103) :args ((or @t106 @t105 (not @t107)))) % 0.96/1.18 (step @p105 :rule chain_m_resolution :premises (@p104 @p102 @p56) :args (@t105 @t108 (@list @t99 @t107))) % 0.96/1.18 (step @p106 :rule eq-symm :args (@t24 tptp.combK)) % 0.96/1.18 (step @p107 :rule refl :args (@t48)) % 0.96/1.18 (step @p108 :rule nary_cong :premises (@p107 @p106) :args (@t49)) % 0.96/1.18 (step @p109 :rule cong :premises (@p108) :args (@t50)) % 0.96/1.18 (step @p110 :rule eq_resolve :premises (@p37 @p109)) % 0.96/1.18 (step @p111 :rule instantiate :premises (@p110) :args ((@list @t103))) % 0.96/1.18 (step @p112 :rule instantiate :premises (@p51) :args (@t69)) % 0.96/1.18 (step @p113 :rule cnf_or_pos :args (@t110)) % 0.96/1.18 (step @p114 :rule reordering :premises (@p113) :args ((or @t106 @t109 (not @t110)))) % 0.96/1.18 (step @p115 :rule chain_m_resolution :premises (@p114 @p102 @p112) :args (@t109 @t108 (@list @t99 @t110))) % 0.96/1.18 (step @p116 :rule cnf_or_pos :args (@t113)) % 0.96/1.18 (step @p117 :rule reordering :premises (@p116) :args ((or @t112 @t111 (not @t113)))) % 0.96/1.18 (step @p118 :rule chain_m_resolution :premises (@p117 @p115 @p111) :args (@t111 @t108 (@list @t109 @t113))) % 0.96/1.18 (step @p119 :rule instantiate :premises (@p55) :args ((@list @t102))) % 0.96/1.18 (step @p120 :rule instantiate :premises (@p52) :args (@t69)) % 0.96/1.18 (step @p121 :rule cnf_or_pos :args (@t115)) % 0.96/1.18 (step @p122 :rule reordering :premises (@p121) :args ((or @t106 @t114 (not @t115)))) % 0.96/1.18 (step @p123 :rule chain_m_resolution :premises (@p122 @p102 @p120) :args (@t114 @t108 (@list @t99 @t115))) % 0.96/1.18 (step @p124 :rule cnf_or_pos :args (@t119)) % 0.96/1.18 (step @p125 :rule reordering :premises (@p124) :args ((or @t116 @t118 (not @t119)))) % 0.96/1.18 (step @p126 :rule chain_m_resolution :premises (@p125 @p123 @p119) :args (@t118 @t108 (@list @t114 @t119))) % 0.96/1.18 (assume-push @p143 @t105) % 0.96/1.18 (assume-push @p144 @t111) % 0.96/1.18 (step @p129 :rule refl :args (@t102)) % 0.96/1.18 (step @p130 :rule symm :premises (@p118)) % 0.96/1.18 (step @p131 :rule cong :premises (@p130 @p129) :args (@t104)) % 0.96/1.18 (step @p132 :rule trans :premises (@p105 @p131)) % 0.96/1.18 (step-pop @p145 :rule scope :premises (@p132)) % 0.96/1.18 (step-pop @p146 :rule scope :premises (@p145)) % 0.96/1.18 (step @p133 :rule process_scope :premises (@p146) :args (@t117)) % 0.96/1.18 (step @p136 :rule implies_elim :premises (@p133)) % 0.96/1.18 (step @p137 :rule cnf_and_neg :args (@t120)) % 0.96/1.18 (step @p138 :rule resolution :premises (@p137 @p136) :args (true @t120)) % 0.96/1.18 (step @p139 :rule reordering :premises (@p138) :args ((or (not @t105) @t117 (not @t111)))) % 0.96/1.18 (step @p140 false :rule chain_m_resolution :premises (@p139 @p126 @p118 @p105) :args (false (@list true false false) (@list @t117 @t111 @t105))) % 0.96/1.18 ) % 0.96/1.18 % SZS output end Proof % 0.96/1.18 % cvc5 exiting %------------------------------------------------------------------------------