%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO634-1 : TPTP v9.2.1. Released v7.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n005.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 09:13:15 AM UTC 2026 % Result : Unsatisfiable 0.38s 0.70s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : SYO634-1 : TPTP v9.2.1. Released v7.1.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n005.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Wed Jun 3 00:32:18 EDT 2026 % 0.17/0.35 % CPUTime : % 0.28/0.53 %----Proving TF0_NAR, FOF, or CNF % 0.28/0.55 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.38/0.70 % SZS status Unsatisfiable % 0.38/0.70 % SZS output start Proof % 0.38/0.71 ( % 0.38/0.71 (declare-sort $$unsorted 0) % 0.38/0.71 (declare-const |tptp.'LEQ'| (-> $$unsorted $$unsorted Bool)) % 0.38/0.71 (declare-const |tptp.'AP'| (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.71 (declare-const |tptp.'E'| (-> $$unsorted $$unsorted Bool)) % 0.38/0.71 (declare-const tptp.f (-> $$unsorted $$unsorted)) % 0.38/0.71 (declare-const tptp.s (-> $$unsorted $$unsorted)) % 0.38/0.71 (declare-const |tptp.'0'| $$unsorted) % 0.38/0.71 (define @t1 () (tptp.s |tptp.'0'|)) % 0.38/0.71 (define @t2 () (tptp.s @t1)) % 0.38/0.71 (define @t3 () (tptp.s @t2)) % 0.38/0.71 (define @t4 () (tptp.s @t3)) % 0.38/0.71 (define @t5 () (tptp.s @t4)) % 0.38/0.71 (define @t6 () (tptp.s @t5)) % 0.38/0.71 (define @t7 () (tptp.s @t6)) % 0.38/0.71 (define @t8 () (tptp.s @t7)) % 0.38/0.71 (define @t9 () (@var "B_0" $$unsorted)) % 0.38/0.71 (define @t10 () (tptp.f @t9)) % 0.38/0.71 (define @t11 () (|tptp.'E'| @t10 @t8)) % 0.38/0.71 (define @t12 () (tptp.s @t8)) % 0.38/0.71 (define @t13 () (tptp.s @t12)) % 0.38/0.71 (define @t14 () (not (|tptp.'E'| @t10 @t13))) % 0.38/0.71 (define @t15 () (@var "A_0" $$unsorted)) % 0.38/0.71 (define @t16 () (not (|tptp.'E'| (tptp.f @t15) @t12))) % 0.38/0.71 (define @t17 () (or @t16 @t14 @t11)) % 0.38/0.71 (define @t18 () (@list @t15 @t9)) % 0.38/0.71 (define @t19 () (forall @t18 @t17)) % 0.38/0.71 (define @t20 () (@var "K" $$unsorted)) % 0.38/0.71 (define @t21 () (tptp.s @t13)) % 0.38/0.71 (define @t22 () (|tptp.'AP'| @t21 @t20)) % 0.38/0.71 (define @t23 () (@var "A_3" $$unsorted)) % 0.38/0.71 (define @t24 () (not (|tptp.'E'| (tptp.f @t23) @t6))) % 0.38/0.71 (define @t25 () (@var "A_6" $$unsorted)) % 0.38/0.71 (define @t26 () (not (|tptp.'E'| (tptp.f @t25) @t3))) % 0.38/0.71 (define @t27 () (@var "A_2" $$unsorted)) % 0.38/0.71 (define @t28 () (not (|tptp.'E'| (tptp.f @t27) @t7))) % 0.38/0.71 (define @t29 () (@var "A_7" $$unsorted)) % 0.38/0.71 (define @t30 () (not (|tptp.'E'| (tptp.f @t29) @t2))) % 0.38/0.71 (define @t31 () (@var "A_5" $$unsorted)) % 0.38/0.71 (define @t32 () (not (|tptp.'E'| (tptp.f @t31) @t4))) % 0.38/0.71 (define @t33 () (@var "A_8" $$unsorted)) % 0.38/0.71 (define @t34 () (not (|tptp.'E'| (tptp.f @t33) @t1))) % 0.38/0.71 (define @t35 () (@var "A_4" $$unsorted)) % 0.38/0.71 (define @t36 () (not (|tptp.'E'| (tptp.f @t35) @t5))) % 0.38/0.71 (define @t37 () (@var "A_1" $$unsorted)) % 0.38/0.71 (define @t38 () (not (|tptp.'E'| (tptp.f @t37) @t8))) % 0.38/0.71 (define @t39 () (@list @t37 @t35 @t33 @t9 @t31 @t29 @t27 @t25 @t15 @t23 @t20)) % 0.38/0.71 (define @t40 () (@var "B" $$unsorted)) % 0.38/0.71 (define @t41 () (@list @t37 @t35 @t9 @t31 @t27 @t25 @t15 @t23 @t20)) % 0.38/0.71 (define @t42 () (|tptp.'E'| @t10 @t6)) % 0.38/0.71 (define @t43 () (or @t16 @t14 @t38 @t28 @t42)) % 0.38/0.71 (define @t44 () (@list @t15 @t9 @t37 @t27)) % 0.38/0.71 (define @t45 () (forall @t44 @t43)) % 0.38/0.71 (define @t46 () (@list @t37 @t35 @t9 @t31 @t27 @t15 @t23 @t20)) % 0.38/0.71 (define @t47 () (@list @t37 @t35 @t9 @t27 @t15 @t23 @t20)) % 0.38/0.71 (define @t48 () (@list @t9)) % 0.38/0.71 (define @t49 () (@list @t37 @t35 @t9 @t31 @t29 @t27 @t25 @t15 @t23 @t20)) % 0.38/0.71 (define @t50 () (tptp.f @t22)) % 0.38/0.71 (define @t51 () (|tptp.'E'| @t50 @t1)) % 0.38/0.71 (define @t52 () (forall @t49 (or @t38 @t36 @t14 @t32 @t30 @t28 @t26 @t16 @t24 @t51))) % 0.38/0.71 (define @t53 () (|tptp.'E'| @t50 @t4)) % 0.38/0.71 (define @t54 () (forall @t47 (or @t38 @t36 @t14 @t28 @t16 @t24 @t53))) % 0.38/0.71 (define @t55 () (|tptp.'E'| @t10 @t7)) % 0.38/0.71 (define @t56 () (or @t16 @t14 @t38 @t55)) % 0.38/0.71 (define @t57 () (@list @t15 @t9 @t37)) % 0.38/0.71 (define @t58 () (forall @t57 @t56)) % 0.38/0.71 (define @t59 () (|tptp.'E'| @t50 @t3)) % 0.38/0.71 (define @t60 () (forall @t46 (or @t38 @t36 @t14 @t32 @t28 @t16 @t24 @t59))) % 0.38/0.71 (define @t61 () (@var "A_9" $$unsorted)) % 0.38/0.71 (define @t62 () (not (|tptp.'E'| (tptp.f @t61) |tptp.'0'|))) % 0.38/0.71 (define @t63 () (forall (@list @t37 @t35 @t33 @t9 @t31 @t29 @t27 @t25 @t15 @t23 @t61) (or @t38 @t36 @t34 @t14 @t32 @t30 @t28 @t26 @t16 @t24 @t62))) % 0.38/0.71 (define @t64 () (|tptp.'E'| @t50 @t2)) % 0.38/0.71 (define @t65 () (forall @t41 (or @t38 @t36 @t14 @t32 @t28 @t26 @t16 @t24 @t64))) % 0.38/0.71 (define @t66 () (|tptp.'E'| @t10 @t5)) % 0.38/0.71 (define @t67 () (or @t38 @t14 @t28 @t16 @t24 @t66)) % 0.38/0.71 (define @t68 () (@list @t37 @t9 @t27 @t15 @t23)) % 0.38/0.71 (define @t69 () (forall @t68 @t67)) % 0.38/0.71 (define @t70 () (|tptp.'E'| @t50 |tptp.'0'|)) % 0.38/0.71 (define @t71 () (forall @t39 (or @t38 @t36 @t34 @t14 @t32 @t30 @t28 @t26 @t16 @t24 @t70))) % 0.38/0.71 (define @t72 () (@list @t20)) % 0.38/0.71 (define @t73 () (forall @t72 @t70)) % 0.38/0.71 (define @t74 () (@quantifiers_skolemize @t73 0)) % 0.38/0.71 (define @t75 () (|tptp.'AP'| @t21 @t74)) % 0.38/0.71 (define @t76 () (@list @t75)) % 0.38/0.71 (define @t77 () (forall (@list @t15) @t16)) % 0.38/0.71 (define @t78 () (tptp.f @t75)) % 0.38/0.71 (define @t79 () (|tptp.'E'| @t78 @t12)) % 0.38/0.71 (define @t80 () (@list false)) % 0.38/0.71 (define @t81 () (or @t14 @t11)) % 0.38/0.71 (define @t82 () (forall @t48 @t81)) % 0.38/0.71 (define @t83 () (or @t16 @t81)) % 0.38/0.71 (define @t84 () (@quantifiers_skolemize @t77 0)) % 0.38/0.71 (define @t85 () (@list @t84)) % 0.38/0.71 (define @t86 () (tptp.f @t84)) % 0.38/0.71 (define @t87 () (|tptp.'E'| @t86 @t8)) % 0.38/0.71 (define @t88 () (|tptp.'E'| @t86 @t13)) % 0.38/0.71 (define @t89 () (not @t88)) % 0.38/0.71 (define @t90 () (or @t89 @t87)) % 0.38/0.71 (define @t91 () (forall (@list @t37) @t38)) % 0.38/0.71 (define @t92 () (or @t14 @t55)) % 0.38/0.71 (define @t93 () (forall @t48 @t92)) % 0.38/0.71 (define @t94 () (or @t16 @t92 @t38)) % 0.38/0.71 (define @t95 () (forall (@list @t27) @t28)) % 0.38/0.71 (define @t96 () (or @t14 @t42)) % 0.38/0.71 (define @t97 () (forall @t48 @t96)) % 0.38/0.71 (define @t98 () (or @t16 @t96 @t38 @t28)) % 0.38/0.71 (define @t99 () (|tptp.'E'| @t86 @t7)) % 0.38/0.71 (define @t100 () (or @t89 @t99)) % 0.38/0.71 (define @t101 () (@list true)) % 0.38/0.71 (define @t102 () (@list @t77)) % 0.38/0.71 (define @t103 () (|tptp.'E'| @t86 @t6)) % 0.38/0.71 (define @t104 () (or @t89 @t103)) % 0.38/0.71 (define @t105 () (@list false false)) % 0.38/0.71 (define @t106 () (forall (@list @t23) @t24)) % 0.38/0.71 (define @t107 () (forall @t48 @t14)) % 0.38/0.71 (define @t108 () (or @t14 @t66)) % 0.38/0.71 (define @t109 () (forall @t48 @t108)) % 0.38/0.71 (define @t110 () (or @t38 @t108 @t28 @t16 @t24)) % 0.38/0.71 (define @t111 () (|tptp.'E'| @t86 @t5)) % 0.38/0.71 (define @t112 () (or @t89 @t111)) % 0.38/0.71 (define @t113 () (forall (@list @t35) @t36)) % 0.38/0.71 (define @t114 () (forall @t72 @t53)) % 0.38/0.71 (define @t115 () (@list @t74)) % 0.38/0.71 (define @t116 () (|tptp.'E'| @t78 @t4)) % 0.38/0.71 (define @t117 () (forall (@list @t31) @t32)) % 0.38/0.71 (define @t118 () (forall @t72 @t59)) % 0.38/0.71 (define @t119 () (|tptp.'E'| @t78 @t3)) % 0.38/0.71 (define @t120 () (forall (@list @t25) @t26)) % 0.38/0.71 (define @t121 () (forall @t72 @t64)) % 0.38/0.71 (define @t122 () (|tptp.'E'| @t78 @t2)) % 0.38/0.71 (define @t123 () (forall (@list @t29) @t30)) % 0.38/0.71 (define @t124 () (forall @t72 @t51)) % 0.38/0.71 (define @t125 () (|tptp.'E'| @t78 @t1)) % 0.38/0.71 (define @t126 () (forall (@list @t61) @t62)) % 0.38/0.71 (define @t127 () (forall (@list @t33) @t34)) % 0.38/0.71 (define @t128 () (@quantifiers_skolemize @t121 0)) % 0.38/0.71 (define @t129 () (|tptp.'AP'| @t21 @t128)) % 0.38/0.71 (define @t130 () (|tptp.'E'| (tptp.f @t129) |tptp.'0'|)) % 0.38/0.71 (assume @p1 @t19) % 0.38/0.71 (assume @p2 (forall @t39 (or @t38 @t36 @t34 @t14 @t32 @t30 @t28 @t26 @t16 @t24 (|tptp.'LEQ'| (|tptp.'AP'| |tptp.'0'| @t20) @t22)))) % 0.38/0.71 (assume @p3 (forall (@list @t40) (|tptp.'E'| (tptp.f @t40) @t13))) % 0.38/0.71 (assume @p4 (forall @t41 (or @t38 @t36 @t14 @t32 @t28 @t26 @t16 @t24 (|tptp.'LEQ'| (|tptp.'AP'| @t2 @t20) @t22)))) % 0.38/0.71 (assume @p5 (forall (@list @t15 @t9 @t20) (or @t16 @t14 (|tptp.'LEQ'| (|tptp.'AP'| @t8 @t20) @t9)))) % 0.38/0.71 (assume @p6 @t45) % 0.38/0.71 (assume @p7 (forall @t46 (or @t38 @t36 @t14 @t32 @t28 @t16 @t24 (|tptp.'LEQ'| (|tptp.'AP'| @t3 @t20) @t22)))) % 0.38/0.71 (assume @p8 (forall @t47 (or @t38 @t36 @t14 @t28 @t16 @t24 (|tptp.'LEQ'| (|tptp.'AP'| @t4 @t20) @t22)))) % 0.38/0.71 (assume @p9 (forall @t48 (|tptp.'E'| @t10 @t12))) % 0.38/0.71 (assume @p10 (forall @t49 (or @t38 @t36 @t14 @t32 @t30 @t28 @t26 @t16 @t24 (|tptp.'LEQ'| (|tptp.'AP'| @t1 @t20) @t22)))) % 0.38/0.71 (assume @p11 @t52) % 0.38/0.71 (assume @p12 @t54) % 0.38/0.71 (assume @p13 (forall (@list @t20 @t9) (|tptp.'LEQ'| (|tptp.'AP'| @t12 @t20) @t9))) % 0.38/0.71 (assume @p14 @t58) % 0.38/0.71 (assume @p15 @t60) % 0.38/0.71 (assume @p16 (forall (@list @t15 @t9 @t37 @t27 @t20) (or @t16 @t14 @t38 @t28 (|tptp.'LEQ'| (|tptp.'AP'| @t6 @t20) @t9)))) % 0.38/0.71 (assume @p17 @t63) % 0.38/0.71 (assume @p18 (forall (@list @t15 @t9 @t37 @t20) (or @t16 @t14 @t38 (|tptp.'LEQ'| (|tptp.'AP'| @t7 @t20) @t9)))) % 0.38/0.71 (assume @p19 @t65) % 0.38/0.71 (assume @p20 @t69) % 0.38/0.71 (assume @p21 (forall (@list @t37 @t9 @t27 @t15 @t23 @t20) (or @t38 @t14 @t28 @t16 @t24 (|tptp.'LEQ'| (|tptp.'AP'| @t5 @t20) @t9)))) % 0.38/0.71 (assume @p22 @t71) % 0.38/0.71 (assume @p23 (forall (@list @t20 @t40) (|tptp.'LEQ'| (|tptp.'AP'| @t13 @t20) @t40))) % 0.38/0.71 (step @p24 :rule instantiate :premises (@p9) :args (@t76)) % 0.38/0.71 (assume-push @p207 @t77) % 0.38/0.71 (step @p26 :rule instantiate :premises (@p207) :args (@t76)) % 0.38/0.71 (step-pop @p208 :rule scope :premises (@p26)) % 0.38/0.71 (step @p27 :rule process_scope :premises (@p208) :args ((not @t79))) % 0.38/0.71 (step @p29 :rule implies_elim :premises (@p27)) % 0.38/0.71 (step @p30 :rule chain_m_resolution :premises (@p29 @p24) :args ((not @t77) @t80 (@list @t79))) % 0.38/0.71 (step @p31 :rule quant-miniscope-or :args ((= (forall @t18 @t83) (or @t77 @t82)))) % 0.38/0.71 (step @p32 :rule aci_norm :args ((= @t17 @t83))) % 0.38/0.71 (step @p33 :rule cong :premises (@p32) :args (@t19)) % 0.38/0.71 (step @p34 :rule trans :premises (@p33 @p31)) % 0.38/0.71 (step @p35 :rule eq_resolve :premises (@p1 @p34)) % 0.38/0.71 (assume-push @p209 @t82) % 0.38/0.71 (step @p37 :rule instantiate :premises (@p209) :args (@t85)) % 0.38/0.71 (step-pop @p210 :rule scope :premises (@p37)) % 0.38/0.71 (step @p38 :rule process_scope :premises (@p210) :args (@t90)) % 0.38/0.71 (step @p40 :rule implies_elim :premises (@p38)) % 0.38/0.71 (step @p41 :rule instantiate :premises (@p3) :args (@t85)) % 0.38/0.71 (step @p42 :rule cnf_or_pos :args (@t90)) % 0.38/0.71 (step @p43 :rule reordering :premises (@p42) :args ((or @t89 @t87 (not @t90)))) % 0.38/0.71 (assume-push @p211 @t91) % 0.38/0.71 (step @p45 :rule instantiate :premises (@p211) :args (@t85)) % 0.38/0.71 (step-pop @p212 :rule scope :premises (@p45)) % 0.38/0.71 (step @p46 :rule process_scope :premises (@p212) :args ((not @t87))) % 0.38/0.71 (step @p48 :rule implies_elim :premises (@p46)) % 0.38/0.71 (step @p49 :rule quant-miniscope-or :args ((= (forall @t57 @t94) (or @t77 @t93 @t91)))) % 0.38/0.71 (step @p50 :rule aci_norm :args ((= @t56 @t94))) % 0.38/0.71 (step @p51 :rule cong :premises (@p50) :args (@t58)) % 0.38/0.71 (step @p52 :rule trans :premises (@p51 @p49)) % 0.38/0.71 (step @p53 :rule eq_resolve :premises (@p14 @p52)) % 0.38/0.71 (step @p54 :rule reordering :premises (@p53) :args ((or @t77 @t91 @t93))) % 0.38/0.71 (step @p55 :rule quant-miniscope-or :args ((= (forall @t44 @t98) (or @t77 @t97 @t91 @t95)))) % 0.38/0.71 (step @p56 :rule aci_norm :args ((= @t43 @t98))) % 0.38/0.71 (step @p57 :rule cong :premises (@p56) :args (@t45)) % 0.38/0.71 (step @p58 :rule trans :premises (@p57 @p55)) % 0.38/0.71 (step @p59 :rule eq_resolve :premises (@p6 @p58)) % 0.38/0.71 (step @p60 :rule reordering :premises (@p59) :args ((or @t77 @t91 @t95 @t97))) % 0.38/0.71 (assume-push @p213 @t93) % 0.38/0.71 (step @p62 :rule instantiate :premises (@p213) :args (@t85)) % 0.38/0.71 (step-pop @p214 :rule scope :premises (@p62)) % 0.38/0.71 (step @p63 :rule process_scope :premises (@p214) :args (@t100)) % 0.38/0.71 (step @p65 :rule implies_elim :premises (@p63)) % 0.38/0.71 (assume-push @p215 @t95) % 0.38/0.71 (step @p67 :rule instantiate :premises (@p215) :args (@t85)) % 0.38/0.71 (step-pop @p216 :rule scope :premises (@p67)) % 0.38/0.71 (step @p68 :rule process_scope :premises (@p216) :args ((not @t99))) % 0.38/0.71 (step @p70 :rule implies_elim :premises (@p68)) % 0.38/0.71 (step @p71 :rule cnf_or_pos :args (@t100)) % 0.38/0.71 (step @p72 :rule reordering :premises (@p71) :args ((or @t89 @t99 (not @t100)))) % 0.38/0.71 (step @p73 :rule chain_m_resolution :premises (@p72 @p41 @p70 @p65 @p60 @p54 @p48 @p43 @p41 @p40 @p35) :args ((or @t77 @t97) (@list false true false false false true false false false false) (@list @t88 @t99 @t100 @t95 @t93 @t91 @t87 @t88 @t90 @t82))) % 0.38/0.71 (step @p74 :rule chain_m_resolution :premises (@p73 @p30) :args (@t97 @t101 @t102)) % 0.38/0.71 (assume-push @p217 @t97) % 0.38/0.71 (step @p76 :rule instantiate :premises (@p217) :args (@t85)) % 0.38/0.71 (step-pop @p218 :rule scope :premises (@p76)) % 0.38/0.71 (step @p77 :rule process_scope :premises (@p218) :args (@t104)) % 0.38/0.71 (step @p79 :rule implies_elim :premises (@p77)) % 0.38/0.71 (step @p80 :rule chain_m_resolution :premises (@p79 @p74) :args (@t104 @t80 (@list @t97))) % 0.38/0.71 (step @p81 :rule cnf_or_pos :args (@t104)) % 0.38/0.71 (step @p82 :rule reordering :premises (@p81) :args ((or @t89 @t103 (not @t104)))) % 0.38/0.71 (step @p83 :rule chain_m_resolution :premises (@p82 @p41 @p80) :args (@t103 @t105 (@list @t88 @t104))) % 0.38/0.71 (assume-push @p219 @t106) % 0.38/0.71 (step @p85 :rule instantiate :premises (@p219) :args (@t85)) % 0.38/0.71 (step-pop @p220 :rule scope :premises (@p85)) % 0.38/0.71 (step @p86 :rule process_scope :premises (@p220) :args ((not @t103))) % 0.38/0.71 (step @p88 :rule implies_elim :premises (@p86)) % 0.38/0.71 (step @p89 :rule chain_m_resolution :premises (@p88 @p83) :args ((not @t106) @t80 (@list @t103))) % 0.38/0.71 (step @p90 :rule chain_m_resolution :premises (@p35 @p30) :args (@t82 @t101 @t102)) % 0.38/0.71 (step @p91 :rule chain_m_resolution :premises (@p40 @p90) :args (@t90 @t80 (@list @t82))) % 0.38/0.71 (step @p92 :rule chain_m_resolution :premises (@p43 @p41 @p91) :args (@t87 @t105 (@list @t88 @t90))) % 0.38/0.71 (step @p93 :rule chain_m_resolution :premises (@p48 @p92) :args ((not @t91) @t80 (@list @t87))) % 0.38/0.71 (step @p94 :rule chain_m_resolution :premises (@p54 @p30 @p93) :args (@t93 (@list true true) (@list @t77 @t91))) % 0.38/0.71 (step @p95 :rule chain_m_resolution :premises (@p65 @p94) :args (@t100 @t80 (@list @t93))) % 0.38/0.71 (step @p96 :rule chain_m_resolution :premises (@p72 @p41 @p95) :args (@t99 @t105 (@list @t88 @t100))) % 0.38/0.71 (step @p97 :rule chain_m_resolution :premises (@p70 @p96) :args ((not @t95) @t80 (@list @t99))) % 0.38/0.71 (assume-push @p221 @t107) % 0.38/0.71 (step @p99 :rule instantiate :premises (@p221) :args (@t85)) % 0.38/0.71 (step-pop @p222 :rule scope :premises (@p99)) % 0.38/0.71 (step @p100 :rule process_scope :premises (@p222) :args (@t89)) % 0.38/0.71 (step @p102 :rule implies_elim :premises (@p100)) % 0.38/0.71 (step @p103 :rule chain_m_resolution :premises (@p102 @p41) :args ((not @t107) @t80 (@list @t88))) % 0.38/0.71 (step @p104 :rule quant-miniscope-or :args ((= (forall @t68 @t110) (or @t91 @t109 @t95 @t77 @t106)))) % 0.38/0.71 (step @p105 :rule aci_norm :args ((= @t67 @t110))) % 0.38/0.71 (step @p106 :rule cong :premises (@p105) :args (@t69)) % 0.38/0.71 (step @p107 :rule trans :premises (@p106 @p104)) % 0.38/0.71 (step @p108 :rule eq_resolve :premises (@p20 @p107)) % 0.38/0.71 (step @p109 :rule reordering :premises (@p108) :args ((or @t77 @t91 @t95 @t106 @t109))) % 0.38/0.71 (step @p110 :rule chain_m_resolution :premises (@p109 @p30 @p93 @p97 @p89) :args (@t109 (@list true true true true) (@list @t77 @t91 @t95 @t106))) % 0.38/0.71 (assume-push @p223 @t109) % 0.38/0.71 (step @p112 :rule instantiate :premises (@p223) :args (@t85)) % 0.38/0.71 (step-pop @p224 :rule scope :premises (@p112)) % 0.38/0.71 (step @p113 :rule process_scope :premises (@p224) :args (@t112)) % 0.38/0.71 (step @p115 :rule implies_elim :premises (@p113)) % 0.38/0.71 (step @p116 :rule chain_m_resolution :premises (@p115 @p110) :args (@t112 @t80 (@list @t109))) % 0.38/0.71 (step @p117 :rule cnf_or_pos :args (@t112)) % 0.38/0.71 (step @p118 :rule reordering :premises (@p117) :args ((or @t89 @t111 (not @t112)))) % 0.38/0.71 (step @p119 :rule chain_m_resolution :premises (@p118 @p41 @p116) :args (@t111 @t105 (@list @t88 @t112))) % 0.38/0.71 (assume-push @p225 @t113) % 0.38/0.71 (step @p121 :rule instantiate :premises (@p225) :args (@t85)) % 0.38/0.71 (step-pop @p226 :rule scope :premises (@p121)) % 0.38/0.71 (step @p122 :rule process_scope :premises (@p226) :args ((not @t111))) % 0.38/0.71 (step @p124 :rule implies_elim :premises (@p122)) % 0.38/0.71 (step @p125 :rule chain_m_resolution :premises (@p124 @p119) :args ((not @t113) @t80 (@list @t111))) % 0.38/0.71 (step @p126 :rule quant-miniscope-or :args ((= @t54 (or @t91 @t113 @t107 @t95 @t77 @t106 @t114)))) % 0.38/0.71 (step @p127 :rule eq_resolve :premises (@p12 @p126)) % 0.38/0.71 (step @p128 :rule reordering :premises (@p127) :args ((or @t77 @t91 @t113 @t107 @t95 @t106 @t114))) % 0.38/0.71 (step @p129 :rule chain_m_resolution :premises (@p128 @p30 @p93 @p125 @p103 @p97 @p89) :args (@t114 (@list true true true true true true) (@list @t77 @t91 @t113 @t107 @t95 @t106))) % 0.38/0.71 (assume-push @p227 @t114) % 0.38/0.71 (step @p131 :rule instantiate :premises (@p227) :args (@t115)) % 0.38/0.71 (step-pop @p228 :rule scope :premises (@p131)) % 0.38/0.71 (step @p132 :rule process_scope :premises (@p228) :args (@t116)) % 0.38/0.71 (step @p134 :rule implies_elim :premises (@p132)) % 0.38/0.71 (step @p135 :rule chain_m_resolution :premises (@p134 @p129) :args (@t116 @t80 (@list @t114))) % 0.38/0.71 (assume-push @p229 @t117) % 0.38/0.71 (step @p137 :rule instantiate :premises (@p229) :args (@t76)) % 0.38/0.71 (step-pop @p230 :rule scope :premises (@p137)) % 0.38/0.71 (step @p138 :rule process_scope :premises (@p230) :args ((not @t116))) % 0.38/0.71 (step @p140 :rule implies_elim :premises (@p138)) % 0.38/0.71 (step @p141 :rule chain_m_resolution :premises (@p140 @p135) :args ((not @t117) @t80 (@list @t116))) % 0.38/0.71 (step @p142 :rule quant-miniscope-or :args ((= @t60 (or @t91 @t113 @t107 @t117 @t95 @t77 @t106 @t118)))) % 0.38/0.71 (step @p143 :rule eq_resolve :premises (@p15 @p142)) % 0.38/0.71 (step @p144 :rule reordering :premises (@p143) :args ((or @t77 @t91 @t113 @t107 @t117 @t95 @t106 @t118))) % 0.38/0.71 (step @p145 :rule chain_m_resolution :premises (@p144 @p30 @p93 @p125 @p103 @p141 @p97 @p89) :args (@t118 (@list true true true true true true true) (@list @t77 @t91 @t113 @t107 @t117 @t95 @t106))) % 0.38/0.71 (assume-push @p231 @t118) % 0.38/0.71 (step @p147 :rule instantiate :premises (@p231) :args (@t115)) % 0.38/0.71 (step-pop @p232 :rule scope :premises (@p147)) % 0.38/0.71 (step @p148 :rule process_scope :premises (@p232) :args (@t119)) % 0.38/0.71 (step @p150 :rule implies_elim :premises (@p148)) % 0.38/0.71 (step @p151 :rule chain_m_resolution :premises (@p150 @p145) :args (@t119 @t80 (@list @t118))) % 0.38/0.71 (assume-push @p233 @t120) % 0.38/0.71 (step @p153 :rule instantiate :premises (@p233) :args (@t76)) % 0.38/0.71 (step-pop @p234 :rule scope :premises (@p153)) % 0.38/0.71 (step @p154 :rule process_scope :premises (@p234) :args ((not @t119))) % 0.38/0.71 (step @p156 :rule implies_elim :premises (@p154)) % 0.38/0.71 (step @p157 :rule chain_m_resolution :premises (@p156 @p151) :args ((not @t120) @t80 (@list @t119))) % 0.38/0.71 (step @p158 :rule quant-miniscope-or :args ((= @t65 (or @t91 @t113 @t107 @t117 @t95 @t120 @t77 @t106 @t121)))) % 0.38/0.71 (step @p159 :rule eq_resolve :premises (@p19 @p158)) % 0.38/0.71 (step @p160 :rule reordering :premises (@p159) :args ((or @t77 @t91 @t113 @t107 @t117 @t95 @t120 @t106 @t121))) % 0.38/0.71 (step @p161 :rule chain_m_resolution :premises (@p160 @p30 @p93 @p125 @p103 @p141 @p97 @p157 @p89) :args (@t121 (@list true true true true true true true true) (@list @t77 @t91 @t113 @t107 @t117 @t95 @t120 @t106))) % 0.38/0.71 (assume-push @p235 @t121) % 0.38/0.71 (step @p163 :rule instantiate :premises (@p235) :args (@t115)) % 0.38/0.71 (step-pop @p236 :rule scope :premises (@p163)) % 0.38/0.71 (step @p164 :rule process_scope :premises (@p236) :args (@t122)) % 0.38/0.71 (step @p166 :rule implies_elim :premises (@p164)) % 0.38/0.71 (step @p167 :rule chain_m_resolution :premises (@p166 @p161) :args (@t122 @t80 (@list @t121))) % 0.38/0.71 (assume-push @p237 @t123) % 0.38/0.71 (step @p169 :rule instantiate :premises (@p237) :args (@t76)) % 0.38/0.71 (step-pop @p238 :rule scope :premises (@p169)) % 0.38/0.71 (step @p170 :rule process_scope :premises (@p238) :args ((not @t122))) % 0.38/0.71 (step @p172 :rule implies_elim :premises (@p170)) % 0.38/0.71 (step @p173 :rule chain_m_resolution :premises (@p172 @p167) :args ((not @t123) @t80 (@list @t122))) % 0.38/0.71 (step @p174 :rule quant-miniscope-or :args ((= @t52 (or @t91 @t113 @t107 @t117 @t123 @t95 @t120 @t77 @t106 @t124)))) % 0.38/0.71 (step @p175 :rule eq_resolve :premises (@p11 @p174)) % 0.38/0.71 (step @p176 :rule reordering :premises (@p175) :args ((or @t77 @t91 @t113 @t107 @t117 @t123 @t95 @t120 @t106 @t124))) % 0.38/0.71 (step @p177 :rule chain_m_resolution :premises (@p176 @p30 @p93 @p125 @p103 @p141 @p173 @p97 @p157 @p89) :args (@t124 (@list true true true true true true true true true) (@list @t77 @t91 @t113 @t107 @t117 @t123 @t95 @t120 @t106))) % 0.38/0.71 (assume-push @p239 @t124) % 0.38/0.71 (step @p179 :rule instantiate :premises (@p239) :args (@t115)) % 0.38/0.71 (step-pop @p240 :rule scope :premises (@p179)) % 0.38/0.71 (step @p180 :rule process_scope :premises (@p240) :args (@t125)) % 0.38/0.71 (step @p182 :rule implies_elim :premises (@p180)) % 0.38/0.71 (step @p183 :rule chain_m_resolution :premises (@p182 @p177) :args (@t125 @t80 (@list @t124))) % 0.38/0.71 (step @p184 :rule quant-miniscope-or :args ((= @t63 (or @t91 @t113 @t127 @t107 @t117 @t123 @t95 @t120 @t77 @t106 @t126)))) % 0.38/0.71 (step @p185 :rule eq_resolve :premises (@p17 @p184)) % 0.38/0.71 (step @p186 :rule reordering :premises (@p185) :args ((or @t77 @t91 @t113 @t127 @t107 @t117 @t123 @t95 @t120 @t106 @t126))) % 0.38/0.71 (step @p187 :rule quant-miniscope-or :args ((= @t71 (or @t91 @t113 @t127 @t107 @t117 @t123 @t95 @t120 @t77 @t106 @t73)))) % 0.38/0.71 (step @p188 :rule eq_resolve :premises (@p22 @p187)) % 0.38/0.71 (step @p189 :rule reordering :premises (@p188) :args ((or @t77 @t91 @t113 @t127 @t107 @t117 @t123 @t95 @t120 @t106 @t73))) % 0.38/0.71 (assume-push @p241 @t126) % 0.38/0.71 (step @p191 :rule instantiate :premises (@p241) :args ((@list @t129))) % 0.38/0.71 (step-pop @p242 :rule scope :premises (@p191)) % 0.38/0.71 (step @p192 :rule process_scope :premises (@p242) :args ((not @t130))) % 0.38/0.71 (step @p194 :rule implies_elim :premises (@p192)) % 0.38/0.71 (assume-push @p243 @t73) % 0.38/0.71 (step @p196 :rule instantiate :premises (@p243) :args ((@list @t128))) % 0.38/0.71 (step-pop @p244 :rule scope :premises (@p196)) % 0.38/0.71 (step @p197 :rule process_scope :premises (@p244) :args (@t130)) % 0.38/0.71 (step @p199 :rule implies_elim :premises (@p197)) % 0.38/0.71 (step @p200 :rule chain_m_resolution :premises (@p199 @p194 @p189 @p103 @p30 @p93 @p97 @p89 @p125 @p141 @p157 @p173 @p186 @p103 @p30 @p93 @p97 @p89 @p125 @p141 @p157 @p173) :args (@t127 (@list true false true true true true true true true true true false true true true true true true true true true) (@list @t130 @t73 @t107 @t77 @t91 @t95 @t106 @t113 @t117 @t120 @t123 @t126 @t107 @t77 @t91 @t95 @t106 @t113 @t117 @t120 @t123))) % 0.38/0.71 (assume-push @p245 @t127) % 0.38/0.71 (step @p202 :rule instantiate :premises (@p245) :args (@t76)) % 0.38/0.71 (step-pop @p246 :rule scope :premises (@p202)) % 0.38/0.71 (step @p203 :rule process_scope :premises (@p246) :args ((not @t125))) % 0.38/0.71 (step @p205 :rule implies_elim :premises (@p203)) % 0.38/0.71 (step @p206 false :rule chain_m_resolution :premises (@p205 @p200 @p183) :args (false @t105 (@list @t127 @t125))) % 0.38/0.71 ) % 0.38/0.71 % SZS output end Proof % 0.38/0.71 % cvc5 exiting %------------------------------------------------------------------------------