%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GEG002^1 : TPTP v9.2.1. Released v4.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n003.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 08:15:58 AM UTC 2026 % Result : Theorem 2.32s 2.55s % Output : Proof 2.32s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GEG002^1 : TPTP v9.2.1. Released v4.1.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n003.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 23:01:59 EDT 2026 % 0.15/0.34 % CPUTime : % 0.30/0.48 %----Proving TH0 % 2.32/2.55 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 2.32/2.55 % SZS status Theorem % 2.32/2.55 % SZS output start Proof % 2.32/2.55 ( % 2.32/2.55 (declare-sort tptp.reg 0) % 2.32/2.55 (declare-const tptp.c (-> tptp.reg tptp.reg Bool)) % 2.32/2.55 (declare-const tptp.paris tptp.reg) % 2.32/2.55 (declare-const tptp.france tptp.reg) % 2.32/2.55 (declare-const tptp.catalunya tptp.reg) % 2.32/2.55 (declare-const tptp.spain tptp.reg) % 2.32/2.55 (define tptp.dc () (let ((_let_1 (@var "Y" tptp.reg))) (let ((_let_2 (@var "X" tptp.reg))) (lambda (@list _let_2 _let_1) (not (_ (_ tptp.c _let_2) _let_1)))))) % 2.32/2.55 (define tptp.p () (let ((_let_1 (@var "Y" tptp.reg))) (let ((_let_2 (@var "Z" tptp.reg))) (let ((_let_3 (_ tptp.c _let_2))) (let ((_let_4 (@var "X" tptp.reg))) (lambda (@list _let_4 _let_1) (forall (@list _let_2) (=> (_ _let_3 _let_4) (_ _let_3 _let_1))))))))) % 2.32/2.55 (define tptp.eq () (let ((_let_1 (@var "X" tptp.reg))) (let ((_let_2 (@var "Y" tptp.reg))) (lambda (@list _let_1 _let_2) (and (_ (_ tptp.p _let_1) _let_2) (_ (_ tptp.p _let_2) _let_1)))))) % 2.32/2.55 (define tptp.o () (let ((_let_1 (@var "Y" tptp.reg))) (let ((_let_2 (@var "Z" tptp.reg))) (let ((_let_3 (_ tptp.p _let_2))) (let ((_let_4 (@var "X" tptp.reg))) (lambda (@list _let_4 _let_1) (exists (@list _let_2) (and (_ _let_3 _let_4) (_ _let_3 _let_1))))))))) % 2.32/2.55 (define tptp.po () (let ((_let_1 (@var "X" tptp.reg))) (let ((_let_2 (@var "Y" tptp.reg))) (lambda (@list _let_1 _let_2) (and (_ (_ tptp.o _let_1) _let_2) (not (_ (_ tptp.p _let_1) _let_2)) (not (_ (_ tptp.p _let_2) _let_1))))))) % 2.32/2.55 (define tptp.ec () (let ((_let_1 (@var "Y" tptp.reg))) (let ((_let_2 (@var "X" tptp.reg))) (lambda (@list _let_2 _let_1) (and (_ (_ tptp.c _let_2) _let_1) (not (_ (_ tptp.o _let_2) _let_1))))))) % 2.32/2.55 (define tptp.pp () (let ((_let_1 (@var "X" tptp.reg))) (let ((_let_2 (@var "Y" tptp.reg))) (lambda (@list _let_1 _let_2) (and (_ (_ tptp.p _let_1) _let_2) (not (_ (_ tptp.p _let_2) _let_1))))))) % 2.32/2.55 (define tptp.tpp () (let ((_let_1 (@var "Y" tptp.reg))) (let ((_let_2 (@var "Z" tptp.reg))) (let ((_let_3 (_ tptp.ec _let_2))) (let ((_let_4 (@var "X" tptp.reg))) (lambda (@list _let_4 _let_1) (and (_ (_ tptp.pp _let_4) _let_1) (exists (@list _let_2) (and (_ _let_3 _let_4) (_ _let_3 _let_1)))))))))) % 2.32/2.55 (define tptp.ntpp () (let ((_let_1 (@var "Y" tptp.reg))) (let ((_let_2 (@var "Z" tptp.reg))) (let ((_let_3 (_ tptp.ec _let_2))) (let ((_let_4 (@var "X" tptp.reg))) (lambda (@list _let_4 _let_1) (and (_ (_ tptp.pp _let_4) _let_1) (not (exists (@list _let_2) (and (_ _let_3 _let_4) (_ _let_3 _let_1))))))))))) % 2.32/2.55 (define @t1 () (@var "X" tptp.reg)) % 2.32/2.55 (define @t2 () (_ tptp.c @t1)) % 2.32/2.55 (define @t3 () (@var "Y" tptp.reg)) % 2.32/2.55 (define @t4 () (_ (_ tptp.c @t3) @t1)) % 2.32/2.55 (define @t5 () (_ @t2 @t3)) % 2.32/2.55 (define @t6 () (@list @t1 @t3)) % 2.32/2.55 (define @t7 () (forall @t6 (=> @t5 @t4))) % 2.32/2.55 (define @t8 () (and (_ (_ tptp.dc tptp.catalunya) tptp.paris) (_ (_ tptp.dc tptp.spain) tptp.paris))) % 2.32/2.55 (define @t9 () (not @t8)) % 2.32/2.55 (define @t10 () (not @t5)) % 2.32/2.55 (define @t11 () (lambda @t6 @t10)) % 2.32/2.55 (define @t12 () (@var "Z" tptp.reg)) % 2.32/2.55 (define @t13 () (_ tptp.c @t12)) % 2.32/2.55 (define @t14 () (_ @t13 @t3)) % 2.32/2.55 (define @t15 () (_ @t13 @t1)) % 2.32/2.55 (define @t16 () (@list @t12)) % 2.32/2.55 (define @t17 () (forall @t16 (=> @t15 @t14))) % 2.32/2.55 (define @t18 () (lambda @t6 @t17)) % 2.32/2.55 (define @t19 () (_ (_ tptp.p @t3) @t1)) % 2.32/2.55 (define @t20 () (_ (_ tptp.p @t1) @t3)) % 2.32/2.55 (define @t21 () (lambda @t6 (and @t20 @t19))) % 2.32/2.55 (define @t22 () (_ tptp.p @t12)) % 2.32/2.55 (define @t23 () (and (_ @t22 @t1) (_ @t22 @t3))) % 2.32/2.55 (define @t24 () (exists @t16 @t23)) % 2.32/2.55 (define @t25 () (lambda @t6 @t24)) % 2.32/2.55 (define @t26 () (not @t19)) % 2.32/2.55 (define @t27 () (_ (_ tptp.o @t1) @t3)) % 2.32/2.55 (define @t28 () (lambda @t6 (and @t27 (not @t20) @t26))) % 2.32/2.55 (define @t29 () (not @t27)) % 2.32/2.55 (define @t30 () (and @t5 @t29)) % 2.32/2.55 (define @t31 () (lambda @t6 @t30)) % 2.32/2.55 (define @t32 () (and @t20 @t26)) % 2.32/2.55 (define @t33 () (lambda @t6 @t32)) % 2.32/2.55 (define @t34 () (_ tptp.ec @t12)) % 2.32/2.55 (define @t35 () (and (_ @t34 @t1) (_ @t34 @t3))) % 2.32/2.55 (define @t36 () (exists @t16 @t35)) % 2.32/2.55 (define @t37 () (_ (_ tptp.pp @t1) @t3)) % 2.32/2.55 (define @t38 () (and @t37 @t36)) % 2.32/2.55 (define @t39 () (lambda @t6 @t38)) % 2.32/2.55 (define @t40 () (not @t36)) % 2.32/2.55 (define @t41 () (and @t37 @t40)) % 2.32/2.55 (define @t42 () (lambda @t6 @t41)) % 2.32/2.55 (define @t43 () (tptp.c @t12 tptp.catalunya)) % 2.32/2.55 (define @t44 () (tptp.c @t12 tptp.spain)) % 2.32/2.55 (define @t45 () (not @t44)) % 2.32/2.55 (define @t46 () (not @t43)) % 2.32/2.55 (define @t47 () (@var "BOUND_VARIABLE_7512" tptp.reg)) % 2.32/2.55 (define @t48 () (tptp.c @t47 tptp.spain)) % 2.32/2.55 (define @t49 () (@var "BOUND_VARIABLE_7625" tptp.reg)) % 2.32/2.55 (define @t50 () (not (tptp.c @t47 @t49))) % 2.32/2.55 (define @t51 () (@list @t47)) % 2.32/2.55 (define @t52 () (not (forall @t51 (or @t50 @t48)))) % 2.32/2.55 (define @t53 () (tptp.c @t47 @t12)) % 2.32/2.55 (define @t54 () (not (forall @t51 (or @t50 @t53)))) % 2.32/2.55 (define @t55 () (@list @t49)) % 2.32/2.55 (define @t56 () (not (forall @t55 (or @t54 (not (forall @t51 (or @t50 (tptp.c @t47 tptp.catalunya)))))))) % 2.32/2.55 (define @t57 () (tptp.c @t12 @t3)) % 2.32/2.55 (define @t58 () (not @t57)) % 2.32/2.55 (define @t59 () (tptp.c @t47 @t3)) % 2.32/2.55 (define @t60 () (not (forall @t51 (or @t50 @t59)))) % 2.32/2.55 (define @t61 () (forall @t55 (or @t54 @t60))) % 2.32/2.55 (define @t62 () (not @t61)) % 2.32/2.55 (define @t63 () (@list @t3)) % 2.32/2.55 (define @t64 () (lambda @t63 (and (not (forall @t16 (or @t46 @t56 @t58 @t62))) (forall @t16 (or @t46 @t57)) (not (forall @t16 (or @t58 @t43)))))) % 2.32/2.55 (define @t65 () (tptp.c @t12 @t1)) % 2.32/2.55 (define @t66 () (forall @t16 (or @t58 @t65))) % 2.32/2.55 (define @t67 () (not @t66)) % 2.32/2.55 (define @t68 () (not @t65)) % 2.32/2.55 (define @t69 () (forall @t16 (or @t68 @t57))) % 2.32/2.55 (define @t70 () (tptp.c @t47 @t1)) % 2.32/2.55 (define @t71 () (not (forall @t51 (or @t50 @t70)))) % 2.32/2.55 (define @t72 () (forall @t55 (or @t54 @t71))) % 2.32/2.55 (define @t73 () (not @t72)) % 2.32/2.55 (define @t74 () (forall @t16 (or @t68 @t73 @t58 @t62))) % 2.32/2.55 (define @t75 () (not @t74)) % 2.32/2.55 (define @t76 () (and @t75 @t69 @t67)) % 2.32/2.55 (define @t77 () (and @t69 @t67)) % 2.32/2.55 (define @t78 () (not @t14)) % 2.32/2.55 (define @t79 () (not @t15)) % 2.32/2.55 (define @t80 () (or @t79 @t73 @t78 @t62)) % 2.32/2.55 (define @t81 () (and @t14 @t61)) % 2.32/2.55 (define @t82 () (and @t15 @t72 @t14 @t61)) % 2.32/2.55 (define @t83 () (forall @t16 (not @t82))) % 2.32/2.55 (define @t84 () (not @t83)) % 2.32/2.55 (define @t85 () (and @t15 @t72)) % 2.32/2.55 (define @t86 () (lambda @t63 @t81)) % 2.32/2.55 (define @t87 () (not @t53)) % 2.32/2.55 (define @t88 () (forall @t51 (or @t87 @t59))) % 2.32/2.55 (define @t89 () (not @t88)) % 2.32/2.55 (define @t90 () (forall @t51 (or @t87 @t70))) % 2.32/2.55 (define @t91 () (forall @t16 (or (not @t90) @t89))) % 2.32/2.55 (define @t92 () (@list @t12)) % 2.32/2.55 (define @t93 () (and @t5 @t91)) % 2.32/2.55 (define @t94 () (lambda @t6 @t93)) % 2.32/2.55 (define @t95 () (_ @t94 @t12)) % 2.32/2.55 (define @t96 () (and (_ @t95 @t1) (_ @t95 @t3))) % 2.32/2.55 (define @t97 () (exists @t16 @t96)) % 2.32/2.55 (define @t98 () (lambda @t63 @t77)) % 2.32/2.55 (define @t99 () (_ (lambda @t6 @t77) @t1)) % 2.32/2.55 (define @t100 () (_ @t99 @t3)) % 2.32/2.55 (define @t101 () (not @t91)) % 2.32/2.55 (define @t102 () (lambda @t63 @t101)) % 2.32/2.55 (define @t103 () (_ (lambda @t6 @t101) @t1)) % 2.32/2.55 (define @t104 () (not (_ @t103 @t3))) % 2.32/2.55 (define @t105 () (and @t90 @t88)) % 2.32/2.55 (define @t106 () (forall @t16 (not @t105))) % 2.32/2.55 (define @t107 () (not @t106)) % 2.32/2.55 (define @t108 () (lambda @t63 @t88)) % 2.32/2.55 (define @t109 () (lambda @t6 @t69)) % 2.32/2.55 (define @t110 () (_ @t109 @t12)) % 2.32/2.55 (define @t111 () (and (_ @t110 @t1) (_ @t110 @t3))) % 2.32/2.55 (define @t112 () (or @t79 @t14)) % 2.32/2.55 (define @t113 () (@var "BOUND_VARIABLE_7474" tptp.reg)) % 2.32/2.55 (define @t114 () (tptp.c @t12 @t113)) % 2.32/2.55 (define @t115 () (lambda (@list @t113) (forall @t16 (or @t58 @t114)))) % 2.32/2.55 (define @t116 () (not (_ (_ @t109 @t3) @t1))) % 2.32/2.55 (define @t117 () (lambda @t63 @t69)) % 2.32/2.55 (define @t118 () (_ @t109 @t1)) % 2.32/2.55 (define @t119 () (tptp.c @t3 @t1)) % 2.32/2.55 (define @t120 () (tptp.c @t1 @t3)) % 2.32/2.55 (define @t121 () (or @t10 @t4)) % 2.32/2.55 (define @t122 () (tptp.c @t12 tptp.paris)) % 2.32/2.55 (define @t123 () (tptp.c @t12 tptp.france)) % 2.32/2.55 (define @t124 () (not @t123)) % 2.32/2.55 (define @t125 () (not @t122)) % 2.32/2.55 (define @t126 () (tptp.c @t47 tptp.france)) % 2.32/2.55 (define @t127 () (not (forall @t51 (or @t50 @t126)))) % 2.32/2.55 (define @t128 () (tptp.c @t47 tptp.paris)) % 2.32/2.55 (define @t129 () (not (forall @t51 (or @t50 @t128)))) % 2.32/2.55 (define @t130 () (not (forall @t55 (or @t54 @t129)))) % 2.32/2.55 (define @t131 () (lambda @t63 (and (forall @t16 (or @t125 @t130 @t58 @t62)) (forall @t16 (or @t125 @t57)) (not (forall @t16 (or @t58 @t122)))))) % 2.32/2.55 (define @t132 () (and @t74 @t69 @t67)) % 2.32/2.55 (define @t133 () (not @t97)) % 2.32/2.55 (define @t134 () (not (forall @t51 (or @t87 @t48)))) % 2.32/2.55 (define @t135 () (forall @t16 (or @t134 (not (forall @t51 (or @t87 @t126)))))) % 2.32/2.55 (define @t136 () (tptp.c tptp.spain tptp.france)) % 2.32/2.55 (define @t137 () (_ tptp.c tptp.spain)) % 2.32/2.55 (define @t138 () (_ @t137 tptp.france)) % 2.32/2.55 (define @t139 () (and @t138 @t135)) % 2.32/2.55 (define @t140 () (_ @t137 @t3)) % 2.32/2.55 (define @t141 () (lambda @t63 (and @t140 (forall @t16 (or @t134 @t89))))) % 2.32/2.55 (define @t142 () (@var "BOUND_VARIABLE_8625" tptp.reg)) % 2.32/2.55 (define @t143 () (@var "BOUND_VARIABLE_8626" tptp.reg)) % 2.32/2.55 (define @t144 () (not (tptp.c @t142 @t143))) % 2.32/2.55 (define @t145 () (@list @t142)) % 2.32/2.55 (define @t146 () (@list @t142 @t143)) % 2.32/2.55 (define @t147 () (forall @t55 (or @t52 @t127))) % 2.32/2.55 (define @t148 () (@list false)) % 2.32/2.55 (define @t149 () (forall @t55 (or @t52 @t129))) % 2.32/2.55 (define @t150 () (@quantifiers_skolemize @t149 0)) % 2.32/2.55 (define @t151 () (not (tptp.c @t47 @t150))) % 2.32/2.55 (define @t152 () (forall @t51 (or @t151 @t48))) % 2.32/2.55 (define @t153 () (forall @t51 (or @t151 @t128))) % 2.32/2.55 (define @t154 () (not @t153)) % 2.32/2.55 (define @t155 () (not @t152)) % 2.32/2.55 (define @t156 () (or @t155 @t154)) % 2.32/2.55 (define @t157 () (forall @t51 (or @t151 @t126))) % 2.32/2.55 (define @t158 () (not @t157)) % 2.32/2.55 (define @t159 () (or @t155 @t158)) % 2.32/2.55 (define @t160 () (@quantifiers_skolemize @t157 0)) % 2.32/2.55 (define @t161 () (@list @t160)) % 2.32/2.55 (define @t162 () (tptp.c @t160 tptp.paris)) % 2.32/2.55 (define @t163 () (tptp.c @t160 @t150)) % 2.32/2.55 (define @t164 () (not @t163)) % 2.32/2.55 (define @t165 () (or @t164 @t162)) % 2.32/2.55 (define @t166 () (tptp.c @t160 tptp.france)) % 2.32/2.55 (define @t167 () (or @t164 @t166)) % 2.32/2.55 (define @t168 () (not @t167)) % 2.32/2.55 (define @t169 () (not @t162)) % 2.32/2.55 (define @t170 () (or @t169 @t166)) % 2.32/2.55 (define @t171 () (not @t156)) % 2.32/2.55 (define @t172 () (not @t149)) % 2.32/2.55 (define @t173 () (not @t147)) % 2.32/2.55 (define @t174 () (not @t136)) % 2.32/2.55 (define @t175 () (tptp.c tptp.spain tptp.paris)) % 2.32/2.55 (define @t176 () (not @t175)) % 2.32/2.55 (define @t177 () (or @t176 @t172 @t174 @t173)) % 2.32/2.55 (define @t178 () (tptp.c tptp.paris tptp.spain)) % 2.32/2.55 (define @t179 () (not @t178)) % 2.32/2.55 (define @t180 () (or @t179 @t175)) % 2.32/2.55 (define @t181 () (tptp.c tptp.catalunya tptp.paris)) % 2.32/2.55 (define @t182 () (not @t181)) % 2.32/2.55 (define @t183 () (_ @t137 tptp.paris)) % 2.32/2.55 (define @t184 () (not @t183)) % 2.32/2.55 (define @t185 () (_ tptp.c tptp.catalunya)) % 2.32/2.55 (define @t186 () (_ @t185 tptp.paris)) % 2.32/2.55 (define @t187 () (not @t186)) % 2.32/2.55 (define @t188 () (and @t187 @t184)) % 2.32/2.55 (define @t189 () (lambda @t63 (not @t140))) % 2.32/2.55 (define @t190 () (_ @t11 tptp.spain)) % 2.32/2.55 (define @t191 () (lambda @t63 (not (_ @t185 @t3)))) % 2.32/2.55 (define @t192 () (_ @t11 tptp.catalunya)) % 2.32/2.55 (define @t193 () (and (_ @t192 tptp.paris) (_ @t190 tptp.paris))) % 2.32/2.55 (define @t194 () (tptp.c tptp.paris tptp.catalunya)) % 2.32/2.55 (define @t195 () (or @t182 @t194)) % 2.32/2.55 (define @t196 () (not @t194)) % 2.32/2.55 (define @t197 () (or @t196 @t178)) % 2.32/2.55 (assume @p1 (forall (@list @t1) (_ @t2 @t1))) % 2.32/2.55 (assume @p2 @t7) % 2.32/2.55 (assume @p3 (_ (_ tptp.tpp tptp.catalunya) tptp.spain)) % 2.32/2.55 (assume @p4 (_ (_ tptp.ec tptp.spain) tptp.france)) % 2.32/2.55 (assume @p5 (_ (_ tptp.ntpp tptp.paris) tptp.france)) % 2.32/2.55 (assume @p6 @t9) % 2.32/2.55 (assume @p7 true) % 2.32/2.55 (step @p8 (= tptp.dc @t11) :rule refl :args (@t11)) % 2.32/2.55 (step @p9 (= tptp.p @t18) :rule refl :args (@t18)) % 2.32/2.55 (step @p10 (= tptp.eq @t21) :rule refl :args (@t21)) % 2.32/2.55 (step @p11 (= tptp.o @t25) :rule refl :args (@t25)) % 2.32/2.55 (step @p12 (= tptp.po @t28) :rule refl :args (@t28)) % 2.32/2.55 (step @p13 (= tptp.ec @t31) :rule refl :args (@t31)) % 2.32/2.55 (step @p14 (= tptp.pp @t33) :rule refl :args (@t33)) % 2.32/2.55 (step @p15 (= tptp.tpp @t39) :rule refl :args (@t39)) % 2.32/2.55 (step @p16 (= tptp.ntpp @t42) :rule refl :args (@t42)) % 2.32/2.55 (step @p17 :rule beta-reduce :args ((= (_ @t64 tptp.spain) (and (not (forall @t16 (or @t46 @t56 @t45 (not (forall @t55 (or @t54 @t52)))))) (forall @t16 (or @t46 @t44)) (not (forall @t16 (or @t45 @t43))))))) % 2.32/2.55 (step @p18 :rule refl :args (tptp.spain)) % 2.32/2.55 (step @p19 :rule beta-reduce :args ((= (_ (lambda @t6 @t76) tptp.catalunya) @t64))) % 2.32/2.55 (step @p20 :rule ho_cong :premises (@p19 @p18)) % 2.32/2.55 (step @p21 :rule trans :premises (@p20 @p17)) % 2.32/2.55 (step @p22 :rule refl :args (tptp.catalunya)) % 2.32/2.55 (step @p23 :rule aci_norm :args ((= (and @t77 @t75) @t76))) % 2.32/2.55 (step @p24 :rule refl :args (@t62)) % 2.32/2.55 (step @p25 :rule refl :args (@t57)) % 2.32/2.55 (step @p26 :rule refl :args (@t14)) % 2.32/2.55 (step @p27 :rule cong :premises (@p26 @p25) :args ((= @t14 @t57))) % 2.32/2.55 (step @p28 :rule symm :premises (@p27)) % 2.32/2.55 (step @p29 :rule eq_resolve :premises (@p26 @p28)) % 2.32/2.55 (step @p30 :rule cong :premises (@p29) :args (@t78)) % 2.32/2.55 (step @p31 :rule refl :args (@t73)) % 2.32/2.55 (step @p32 :rule refl :args (@t65)) % 2.32/2.55 (step @p33 :rule refl :args (@t15)) % 2.32/2.55 (step @p34 :rule cong :premises (@p33 @p32) :args ((= @t15 @t65))) % 2.32/2.55 (step @p35 :rule symm :premises (@p34)) % 2.32/2.55 (step @p36 :rule eq_resolve :premises (@p33 @p35)) % 2.32/2.55 (step @p37 :rule cong :premises (@p36) :args (@t79)) % 2.32/2.55 (step @p38 :rule nary_cong :premises (@p37 @p31 @p30 @p24) :args (@t80)) % 2.32/2.55 (step @p39 :rule cong :premises (@p38) :args ((forall @t16 @t80))) % 2.32/2.55 (step @p40 :rule aci_norm :args ((= (or @t79 (or @t73 (or @t78 @t62))) @t80))) % 2.32/2.55 (step @p41 :rule bool-and-de-morgan :args (@t14 @t61 true)) % 2.32/2.55 (step @p42 :rule nary_cong :premises (@p31 @p41) :args ((or @t73 (not @t81)))) % 2.32/2.55 (step @p43 :rule bool-and-de-morgan :args (@t72 @t14 (and @t61))) % 2.32/2.55 (step @p44 :rule trans :premises (@p43 @p42)) % 2.32/2.55 (step @p45 :rule refl :args (@t79)) % 2.32/2.55 (step @p46 :rule nary_cong :premises (@p45 @p44) :args ((or @t79 (not (and @t72 @t14 @t61))))) % 2.32/2.55 (step @p47 :rule bool-and-de-morgan :args (@t15 @t72 (and @t14 @t61))) % 2.32/2.55 (step @p48 :rule trans :premises (@p47 @p46)) % 2.32/2.55 (step @p49 :rule trans :premises (@p48 @p40)) % 2.32/2.55 (step @p50 :rule cong :premises (@p49) :args (@t83)) % 2.32/2.55 (step @p51 :rule trans :premises (@p50 @p39)) % 2.32/2.55 (step @p52 :rule cong :premises (@p51) :args (@t84)) % 2.32/2.55 (step @p53 :rule exists-elim :args ((= (exists @t16 @t82) @t84))) % 2.32/2.55 (step @p54 :rule trans :premises (@p53 @p52)) % 2.32/2.55 (step @p55 :rule aci_norm :args ((= (and @t85 @t81) @t82))) % 2.32/2.55 (step @p56 :rule beta-reduce :args ((= (_ @t86 @t3) @t81))) % 2.32/2.55 (step @p57 :rule refl :args (@t3)) % 2.32/2.55 (step @p58 :rule beta-reduce :args ((= (_ (lambda @t6 (and @t5 (forall @t55 (or @t71 @t60)))) @t12) @t86))) % 2.32/2.55 (step @p59 :rule refl :args (@t12)) % 2.32/2.55 (step @p60 :rule alpha_equiv :args (@t91 @t92 (@list @t49))) % 2.32/2.55 (step @p61 :rule refl :args (@t5)) % 2.32/2.55 (step @p62 :rule nary_cong :premises (@p61 @p60) :args (@t93)) % 2.32/2.55 (step @p63 :rule cong :premises (@p62) :args (@t94)) % 2.32/2.55 (step @p64 :rule ho_cong :premises (@p63 @p59)) % 2.32/2.55 (step @p65 :rule trans :premises (@p64 @p58)) % 2.32/2.55 (step @p66 :rule ho_cong :premises (@p65 @p57)) % 2.32/2.55 (step @p67 :rule trans :premises (@p66 @p56)) % 2.32/2.55 (step @p68 :rule beta-reduce :args ((= (_ @t86 @t1) @t85))) % 2.32/2.55 (step @p69 :rule refl :args (@t1)) % 2.32/2.55 (step @p70 :rule ho_cong :premises (@p65 @p69)) % 2.32/2.55 (step @p71 :rule trans :premises (@p70 @p68)) % 2.32/2.55 (step @p72 :rule nary_cong :premises (@p71 @p67) :args (@t96)) % 2.32/2.55 (step @p73 :rule trans :premises (@p72 @p55)) % 2.32/2.55 (step @p74 :rule cong :premises (@p73) :args (@t97)) % 2.32/2.55 (step @p75 :rule trans :premises (@p74 @p54)) % 2.32/2.55 (step @p76 :rule beta-reduce :args ((= (_ @t98 @t3) @t77))) % 2.32/2.55 (step @p77 :rule beta-reduce :args ((= @t99 @t98))) % 2.32/2.55 (step @p78 :rule ho_cong :premises (@p77 @p57)) % 2.32/2.55 (step @p79 :rule trans :premises (@p78 @p76)) % 2.32/2.55 (step @p80 :rule nary_cong :premises (@p79 @p75) :args ((and @t100 @t97))) % 2.32/2.55 (step @p81 :rule trans :premises (@p80 @p23)) % 2.32/2.55 (step @p82 :rule refl :args (@t12)) % 2.32/2.55 (step @p83 :rule bool-double-not-elim :args (@t91)) % 2.32/2.55 (step @p84 :rule beta-reduce :args ((= (_ @t102 @t3) @t101))) % 2.32/2.55 (step @p85 :rule beta-reduce :args ((= @t103 @t102))) % 2.32/2.55 (step @p86 :rule ho_cong :premises (@p85 @p57)) % 2.32/2.55 (step @p87 :rule trans :premises (@p86 @p84)) % 2.32/2.55 (step @p88 :rule cong :premises (@p87) :args (@t104)) % 2.32/2.55 (step @p89 :rule trans :premises (@p88 @p83)) % 2.32/2.55 (step @p90 :rule refl :args (@t5)) % 2.32/2.55 (step @p91 :rule nary_cong :premises (@p90 @p89) :args ((and @t5 @t104))) % 2.32/2.55 (step @p92 :rule bool-and-de-morgan :args (@t90 @t88 true)) % 2.32/2.55 (step @p93 :rule cong :premises (@p92) :args (@t106)) % 2.32/2.55 (step @p94 :rule cong :premises (@p93) :args (@t107)) % 2.32/2.55 (step @p95 :rule exists-elim :args ((= (exists @t16 @t105) @t107))) % 2.32/2.55 (step @p96 :rule trans :premises (@p95 @p94)) % 2.32/2.55 (step @p97 :rule beta-reduce :args ((= (_ @t108 @t3) @t88))) % 2.32/2.55 (step @p98 :rule beta-reduce :args ((= (_ (lambda @t6 (forall @t51 (or (not @t70) @t59))) @t12) @t108))) % 2.32/2.55 (step @p99 :rule alpha_equiv :args (@t69 @t92 (@list @t47))) % 2.32/2.55 (step @p100 :rule cong :premises (@p99) :args (@t109)) % 2.32/2.55 (step @p101 :rule ho_cong :premises (@p100 @p59)) % 2.32/2.55 (step @p102 :rule trans :premises (@p101 @p98)) % 2.32/2.55 (step @p103 :rule ho_cong :premises (@p102 @p57)) % 2.32/2.55 (step @p104 :rule trans :premises (@p103 @p97)) % 2.32/2.55 (step @p105 :rule beta-reduce :args ((= (_ @t108 @t1) @t90))) % 2.32/2.55 (step @p106 :rule ho_cong :premises (@p102 @p69)) % 2.32/2.55 (step @p107 :rule trans :premises (@p106 @p105)) % 2.32/2.55 (step @p108 :rule nary_cong :premises (@p107 @p104) :args (@t111)) % 2.32/2.55 (step @p109 :rule cong :premises (@p108) :args ((exists @t16 @t111))) % 2.32/2.55 (step @p110 :rule trans :premises (@p109 @p96)) % 2.32/2.55 (step @p111 :rule nary_cong :premises (@p37 @p29) :args (@t112)) % 2.32/2.55 (step @p112 :rule cong :premises (@p111) :args ((forall @t16 @t112))) % 2.32/2.55 (step @p113 :rule bool-impl-elim :args (@t15 @t14)) % 2.32/2.55 (step @p114 :rule cong :premises (@p113) :args (@t17)) % 2.32/2.55 (step @p115 :rule trans :premises (@p114 @p112)) % 2.32/2.55 (step @p116 :rule cong :premises (@p115) :args (@t18)) % 2.32/2.55 (step @p117 :rule trans :premises (@p9 @p116)) % 2.32/2.55 (step @p118 :rule ho_cong :premises (@p117 @p82)) % 2.32/2.55 (step @p119 :rule ho_cong :premises (@p118 @p57)) % 2.32/2.55 (step @p120 :rule ho_cong :premises (@p118 @p69)) % 2.32/2.55 (step @p121 :rule nary_cong :premises (@p120 @p119) :args (@t23)) % 2.32/2.55 (step @p122 :rule cong :premises (@p121) :args (@t24)) % 2.32/2.55 (step @p123 :rule trans :premises (@p122 @p110)) % 2.32/2.55 (step @p124 :rule cong :premises (@p123) :args (@t25)) % 2.32/2.55 (step @p125 :rule trans :premises (@p11 @p124)) % 2.32/2.55 (step @p126 :rule ho_cong :premises (@p125 @p69)) % 2.32/2.55 (step @p127 :rule ho_cong :premises (@p126 @p57)) % 2.32/2.55 (step @p128 :rule cong :premises (@p127) :args (@t29)) % 2.32/2.55 (step @p129 :rule nary_cong :premises (@p90 @p128) :args (@t30)) % 2.32/2.55 (step @p130 :rule trans :premises (@p129 @p91)) % 2.32/2.55 (step @p131 :rule cong :premises (@p130) :args (@t31)) % 2.32/2.55 (step @p132 :rule trans :premises (@p13 @p131)) % 2.32/2.55 (step @p133 :rule ho_cong :premises (@p132 @p82)) % 2.32/2.55 (step @p134 :rule ho_cong :premises (@p133 @p57)) % 2.32/2.55 (step @p135 :rule ho_cong :premises (@p133 @p69)) % 2.32/2.55 (step @p136 :rule nary_cong :premises (@p135 @p134) :args (@t35)) % 2.32/2.55 (step @p137 :rule cong :premises (@p136) :args (@t36)) % 2.32/2.55 (step @p138 :rule beta-reduce :args ((= (_ @t115 @t1) @t66))) % 2.32/2.55 (step @p139 :rule beta-reduce :args ((= (_ (lambda (@list @t1 @t113) (forall @t16 (or @t68 @t114))) @t3) @t115))) % 2.32/2.55 (step @p140 :rule refl :args (@t3)) % 2.32/2.55 (step @p141 :rule alpha_equiv :args (@t109 (@list @t3) (@list @t113))) % 2.32/2.55 (step @p142 :rule ho_cong :premises (@p141 @p140)) % 2.32/2.55 (step @p143 :rule trans :premises (@p142 @p139)) % 2.32/2.55 (step @p144 :rule ho_cong :premises (@p143 @p69)) % 2.32/2.55 (step @p145 :rule trans :premises (@p144 @p138)) % 2.32/2.55 (step @p146 :rule cong :premises (@p145) :args (@t116)) % 2.32/2.55 (step @p147 :rule beta-reduce :args ((= (_ @t117 @t3) @t69))) % 2.32/2.55 (step @p148 :rule beta-reduce :args ((= @t118 @t117))) % 2.32/2.55 (step @p149 :rule ho_cong :premises (@p148 @p57)) % 2.32/2.55 (step @p150 :rule trans :premises (@p149 @p147)) % 2.32/2.55 (step @p151 :rule nary_cong :premises (@p150 @p146) :args ((and (_ @t118 @t3) @t116))) % 2.32/2.55 (step @p152 :rule ho_cong :premises (@p117 @p57)) % 2.32/2.55 (step @p153 :rule ho_cong :premises (@p152 @p69)) % 2.32/2.55 (step @p154 :rule cong :premises (@p153) :args (@t26)) % 2.32/2.55 (step @p155 :rule ho_cong :premises (@p117 @p69)) % 2.32/2.55 (step @p156 :rule ho_cong :premises (@p155 @p57)) % 2.32/2.55 (step @p157 :rule nary_cong :premises (@p156 @p154) :args (@t32)) % 2.32/2.55 (step @p158 :rule trans :premises (@p157 @p151)) % 2.32/2.55 (step @p159 :rule cong :premises (@p158) :args (@t33)) % 2.32/2.55 (step @p160 :rule trans :premises (@p14 @p159)) % 2.32/2.55 (step @p161 :rule ho_cong :premises (@p160 @p69)) % 2.32/2.55 (step @p162 :rule ho_cong :premises (@p161 @p57)) % 2.32/2.55 (step @p163 :rule nary_cong :premises (@p162 @p137) :args (@t38)) % 2.32/2.55 (step @p164 :rule trans :premises (@p163 @p81)) % 2.32/2.55 (step @p165 :rule cong :premises (@p164) :args (@t39)) % 2.32/2.55 (step @p166 :rule trans :premises (@p15 @p165)) % 2.32/2.55 (step @p167 :rule ho_cong :premises (@p166 @p22)) % 2.32/2.55 (step @p168 :rule ho_cong :premises (@p167 @p18)) % 2.32/2.55 (step @p169 :rule trans :premises (@p168 @p21)) % 2.32/2.55 (step @p170 :rule eq_resolve :premises (@p3 @p169)) % 2.32/2.55 (step @p171 :rule and_elim :premises (@p170) :args (1)) % 2.32/2.55 (step @p172 :rule instantiate :premises (@p171) :args ((@list tptp.paris))) % 2.32/2.55 (step @p173 :rule refl :args (@t119)) % 2.32/2.55 (step @p174 :rule refl :args (@t4)) % 2.32/2.55 (step @p175 :rule cong :premises (@p174 @p173) :args ((= @t4 @t119))) % 2.32/2.55 (step @p176 :rule symm :premises (@p175)) % 2.32/2.55 (step @p177 :rule eq_resolve :premises (@p174 @p176)) % 2.32/2.55 (step @p178 :rule refl :args (@t120)) % 2.32/2.55 (step @p179 :rule cong :premises (@p61 @p178) :args ((= @t5 @t120))) % 2.32/2.55 (step @p180 :rule symm :premises (@p179)) % 2.32/2.55 (step @p181 :rule eq_resolve :premises (@p61 @p180)) % 2.32/2.55 (step @p182 :rule cong :premises (@p181) :args (@t10)) % 2.32/2.55 (step @p183 :rule nary_cong :premises (@p182 @p177) :args (@t121)) % 2.32/2.55 (step @p184 :rule cong :premises (@p183) :args ((forall @t6 @t121))) % 2.32/2.55 (step @p185 :rule bool-impl-elim :args (@t5 @t4)) % 2.32/2.55 (step @p186 :rule cong :premises (@p185) :args (@t7)) % 2.32/2.55 (step @p187 :rule trans :premises (@p186 @p184)) % 2.32/2.55 (step @p188 :rule eq_resolve :premises (@p2 @p187)) % 2.32/2.55 (step @p189 :rule instantiate :premises (@p188) :args ((@list tptp.paris tptp.spain))) % 2.32/2.55 (step @p190 :rule beta-reduce :args ((= (_ @t131 tptp.france) (and (forall @t16 (or @t125 @t130 @t124 (not (forall @t55 (or @t54 @t127))))) (forall @t16 (or @t125 @t123)) (not (forall @t16 (or @t124 @t122))))))) % 2.32/2.55 (step @p191 :rule refl :args (tptp.france)) % 2.32/2.55 (step @p192 :rule beta-reduce :args ((= (_ (lambda @t6 @t132) tptp.paris) @t131))) % 2.32/2.55 (step @p193 :rule ho_cong :premises (@p192 @p191)) % 2.32/2.55 (step @p194 :rule trans :premises (@p193 @p190)) % 2.32/2.55 (step @p195 :rule refl :args (tptp.paris)) % 2.32/2.55 (step @p196 :rule aci_norm :args ((= (and @t77 @t74) @t132))) % 2.32/2.55 (step @p197 :rule bool-double-not-elim :args (@t74)) % 2.32/2.55 (step @p198 :rule cong :premises (@p75) :args (@t133)) % 2.32/2.55 (step @p199 :rule trans :premises (@p198 @p197)) % 2.32/2.55 (step @p200 :rule nary_cong :premises (@p79 @p199) :args ((and @t100 @t133))) % 2.32/2.55 (step @p201 :rule trans :premises (@p200 @p196)) % 2.32/2.55 (step @p202 :rule cong :premises (@p137) :args (@t40)) % 2.32/2.55 (step @p203 :rule nary_cong :premises (@p162 @p202) :args (@t41)) % 2.32/2.55 (step @p204 :rule trans :premises (@p203 @p201)) % 2.32/2.55 (step @p205 :rule cong :premises (@p204) :args (@t42)) % 2.32/2.55 (step @p206 :rule trans :premises (@p16 @p205)) % 2.32/2.55 (step @p207 :rule ho_cong :premises (@p206 @p195)) % 2.32/2.55 (step @p208 :rule ho_cong :premises (@p207 @p191)) % 2.32/2.55 (step @p209 :rule trans :premises (@p208 @p194)) % 2.32/2.55 (step @p210 :rule eq_resolve :premises (@p5 @p209)) % 2.32/2.55 (step @p211 :rule and_elim :premises (@p210) :args (0)) % 2.32/2.55 (step @p212 :rule instantiate :premises (@p211) :args ((@list tptp.spain))) % 2.32/2.55 (step @p213 :rule refl :args (@t135)) % 2.32/2.55 (step @p214 :rule refl :args (@t136)) % 2.32/2.55 (step @p215 :rule refl :args (@t138)) % 2.32/2.55 (step @p216 :rule cong :premises (@p215 @p214) :args ((= @t138 @t136))) % 2.32/2.55 (step @p217 :rule symm :premises (@p216)) % 2.32/2.55 (step @p218 :rule eq_resolve :premises (@p215 @p217)) % 2.32/2.55 (step @p219 :rule nary_cong :premises (@p218 @p213) :args (@t139)) % 2.32/2.55 (step @p220 :rule beta-reduce :args ((= (_ @t141 tptp.france) @t139))) % 2.32/2.55 (step @p221 :rule beta-reduce :args ((= (_ @t94 tptp.spain) @t141))) % 2.32/2.55 (step @p222 :rule ho_cong :premises (@p221 @p191)) % 2.32/2.55 (step @p223 :rule trans :premises (@p222 @p220)) % 2.32/2.55 (step @p224 :rule ho_cong :premises (@p132 @p18)) % 2.32/2.55 (step @p225 :rule ho_cong :premises (@p224 @p191)) % 2.32/2.55 (step @p226 :rule trans :premises (@p225 @p223)) % 2.32/2.55 (step @p227 :rule trans :premises (@p226 @p219)) % 2.32/2.55 (step @p228 :rule eq_resolve :premises (@p4 @p227)) % 2.32/2.55 (step @p229 :rule and_elim :premises (@p228) :args (1)) % 2.32/2.55 (step @p230 :rule alpha_equiv :args ((forall (@list @t143) (or (not (forall @t145 (or @t144 (tptp.c @t142 tptp.spain)))) (not (forall @t145 (or @t144 (tptp.c @t142 tptp.france)))))) @t146 (@list @t47 @t49))) % 2.32/2.55 (step @p231 :rule alpha_equiv :args (@t135 (@list @t47 @t12) @t146)) % 2.32/2.55 (step @p232 :rule trans :premises (@p231 @p230)) % 2.32/2.55 (step @p233 :rule equiv_elim1 :premises (@p232)) % 2.32/2.55 (step @p234 :rule chain_m_resolution :premises (@p233 @p229) :args (@t147 @t148 (@list @t135))) % 2.32/2.55 (step @p235 :rule bool-double-not-elim :args (@t152)) % 2.32/2.55 (step @p236 :rule refl :args (@t156)) % 2.32/2.55 (step @p237 :rule nary_cong :premises (@p236 @p235) :args ((or @t156 (not @t155)))) % 2.32/2.55 (step @p238 :rule cnf_or_neg :args (@t156 0)) % 2.32/2.55 (step @p239 :rule eq_resolve :premises (@p238 @p237)) % 2.32/2.55 (step @p240 :rule reordering :premises (@p239) :args ((or @t152 @t156))) % 2.32/2.55 (step @p241 :rule bool-double-not-elim :args (@t153)) % 2.32/2.55 (step @p242 :rule nary_cong :premises (@p236 @p241) :args ((or @t156 (not @t154)))) % 2.32/2.55 (step @p243 :rule cnf_or_neg :args (@t156 1)) % 2.32/2.55 (step @p244 :rule eq_resolve :premises (@p243 @p242)) % 2.32/2.55 (step @p245 :rule reordering :premises (@p244) :args ((or @t153 @t156))) % 2.32/2.55 (step @p246 :rule instantiate :premises (@p229) :args ((@list @t150))) % 2.32/2.55 (step @p247 :rule cnf_or_pos :args (@t159)) % 2.32/2.55 (step @p248 :rule reordering :premises (@p247) :args ((or @t155 @t158 (not @t159)))) % 2.32/2.55 (assume-push @p341 @t153) % 2.32/2.55 (step @p250 :rule instantiate :premises (@p341) :args (@t161)) % 2.32/2.55 (step-pop @p342 :rule scope :premises (@p250)) % 2.32/2.55 (step @p251 :rule process_scope :premises (@p342) :args (@t165)) % 2.32/2.55 (step @p253 :rule implies_elim :premises (@p251)) % 2.32/2.55 (step @p254 :rule refl :args (@t168)) % 2.32/2.55 (step @p255 :rule bool-double-not-elim :args (@t157)) % 2.32/2.55 (step @p256 :rule nary_cong :premises (@p255 @p254) :args ((or (not @t158) @t168))) % 2.32/2.55 (assume-push @p343 @t158) % 2.32/2.55 (step @p258 :rule skolemize :premises (@p343)) % 2.32/2.55 (step-pop @p344 :rule scope :premises (@p258)) % 2.32/2.55 (step @p259 :rule process_scope :premises (@p344) :args (@t168)) % 2.32/2.55 (step @p261 :rule implies_elim :premises (@p259)) % 2.32/2.55 (step @p262 :rule eq_resolve :premises (@p261 @p256)) % 2.32/2.55 (step @p263 :rule bool-double-not-elim :args (@t163)) % 2.32/2.55 (step @p264 :rule refl :args (@t167)) % 2.32/2.55 (step @p265 :rule nary_cong :premises (@p264 @p263) :args ((or @t167 (not @t164)))) % 2.32/2.55 (step @p266 :rule cnf_or_neg :args (@t167 0)) % 2.32/2.55 (step @p267 :rule eq_resolve :premises (@p266 @p265)) % 2.32/2.55 (step @p268 :rule reordering :premises (@p267) :args ((or @t163 @t167))) % 2.32/2.55 (step @p269 :rule cnf_or_neg :args (@t167 1)) % 2.32/2.55 (step @p270 :rule cnf_or_pos :args (@t165)) % 2.32/2.55 (step @p271 :rule reordering :premises (@p270) :args ((or @t164 @t162 (not @t165)))) % 2.32/2.55 (step @p272 :rule and_elim :premises (@p210) :args (1)) % 2.32/2.55 (step @p273 :rule instantiate :premises (@p272) :args (@t161)) % 2.32/2.55 (step @p274 :rule cnf_or_pos :args (@t170)) % 2.32/2.55 (step @p275 :rule reordering :premises (@p274) :args ((or @t166 @t169 (not @t170)))) % 2.32/2.55 (step @p276 :rule chain_m_resolution :premises (@p275 @p273 @p271 @p269 @p268 @p262 @p253 @p248 @p246 @p245 @p240) :args (@t156 (@list false false true false true false true false false false) (@list @t170 @t162 @t166 @t163 @t167 @t165 @t157 @t159 @t153 @t152))) % 2.32/2.55 (step @p277 :rule refl :args (@t171)) % 2.32/2.55 (step @p278 :rule bool-double-not-elim :args (@t149)) % 2.32/2.55 (step @p279 :rule nary_cong :premises (@p278 @p277) :args ((or (not @t172) @t171))) % 2.32/2.55 (assume-push @p345 @t172) % 2.32/2.55 (step @p281 :rule skolemize :premises (@p345)) % 2.32/2.55 (step-pop @p346 :rule scope :premises (@p281)) % 2.32/2.55 (step @p282 :rule process_scope :premises (@p346) :args (@t171)) % 2.32/2.55 (step @p284 :rule implies_elim :premises (@p282)) % 2.32/2.55 (step @p285 :rule eq_resolve :premises (@p284 @p279)) % 2.32/2.55 (step @p286 :rule chain_m_resolution :premises (@p285 @p276) :args (@t149 @t148 (@list @t156))) % 2.32/2.55 (step @p287 :rule and_elim :premises (@p228) :args (0)) % 2.32/2.55 (step @p288 :rule cnf_or_pos :args (@t177)) % 2.32/2.55 (step @p289 :rule reordering :premises (@p288) :args ((or @t176 @t174 @t172 @t173 (not @t177)))) % 2.32/2.55 (step @p290 :rule chain_m_resolution :premises (@p289 @p287 @p286 @p234 @p212) :args (@t176 (@list false false false false) (@list @t136 @t149 @t147 @t177))) % 2.32/2.55 (step @p291 :rule cnf_or_pos :args (@t180)) % 2.32/2.55 (step @p292 :rule reordering :premises (@p291) :args ((or @t175 @t179 (not @t180)))) % 2.32/2.55 (step @p293 :rule chain_m_resolution :premises (@p292 @p290 @p189) :args (@t179 (@list true false) (@list @t175 @t180))) % 2.32/2.55 (step @p294 :rule instantiate :premises (@p188) :args ((@list tptp.catalunya tptp.paris))) % 2.32/2.55 (step @p295 :rule bool-double-not-elim :args (@t175)) % 2.32/2.55 (step @p296 :rule bool-double-not-elim :args (@t181)) % 2.32/2.55 (step @p297 :rule nary_cong :premises (@p296 @p295) :args ((or (not @t182) (not @t176)))) % 2.32/2.55 (step @p298 :rule refl :args (@t175)) % 2.32/2.55 (step @p299 :rule refl :args (@t183)) % 2.32/2.55 (step @p300 :rule cong :premises (@p299 @p298) :args ((= @t183 @t175))) % 2.32/2.55 (step @p301 :rule symm :premises (@p300)) % 2.32/2.55 (step @p302 :rule eq_resolve :premises (@p299 @p301)) % 2.32/2.55 (step @p303 :rule cong :premises (@p302) :args (@t184)) % 2.32/2.55 (step @p304 :rule refl :args (@t181)) % 2.32/2.55 (step @p305 :rule refl :args (@t186)) % 2.32/2.55 (step @p306 :rule cong :premises (@p305 @p304) :args ((= @t186 @t181))) % 2.32/2.55 (step @p307 :rule symm :premises (@p306)) % 2.32/2.55 (step @p308 :rule eq_resolve :premises (@p305 @p307)) % 2.32/2.55 (step @p309 :rule cong :premises (@p308) :args (@t187)) % 2.32/2.55 (step @p310 :rule nary_cong :premises (@p309 @p303) :args (@t188)) % 2.32/2.55 (step @p311 :rule cong :premises (@p310) :args ((not @t188))) % 2.32/2.55 (step @p312 :rule beta-reduce :args ((= (_ @t189 tptp.paris) @t184))) % 2.32/2.55 (step @p313 :rule beta-reduce :args ((= @t190 @t189))) % 2.32/2.55 (step @p314 :rule ho_cong :premises (@p313 @p195)) % 2.32/2.55 (step @p315 :rule trans :premises (@p314 @p312)) % 2.32/2.55 (step @p316 :rule beta-reduce :args ((= (_ @t191 tptp.paris) @t187))) % 2.32/2.55 (step @p317 :rule beta-reduce :args ((= @t192 @t191))) % 2.32/2.55 (step @p318 :rule ho_cong :premises (@p317 @p195)) % 2.32/2.55 (step @p319 :rule trans :premises (@p318 @p316)) % 2.32/2.55 (step @p320 :rule nary_cong :premises (@p319 @p315) :args (@t193)) % 2.32/2.55 (step @p321 :rule cong :premises (@p320) :args ((not @t193))) % 2.32/2.55 (step @p322 :rule ho_cong :premises (@p8 @p18)) % 2.32/2.55 (step @p323 :rule ho_cong :premises (@p322 @p195)) % 2.32/2.55 (step @p324 :rule ho_cong :premises (@p8 @p22)) % 2.32/2.55 (step @p325 :rule ho_cong :premises (@p324 @p195)) % 2.32/2.55 (step @p326 :rule nary_cong :premises (@p325 @p323) :args (@t8)) % 2.32/2.55 (step @p327 :rule cong :premises (@p326) :args (@t9)) % 2.32/2.55 (step @p328 :rule trans :premises (@p327 @p321)) % 2.32/2.55 (step @p329 :rule trans :premises (@p328 @p311)) % 2.32/2.55 (step @p330 :rule eq_resolve :premises (@p6 @p329)) % 2.32/2.55 (step @p331 :rule not_and :premises (@p330)) % 2.32/2.55 (step @p332 :rule eq_resolve :premises (@p331 @p297)) % 2.32/2.55 (step @p333 :rule reordering :premises (@p332) :args ((or @t175 @t181))) % 2.32/2.55 (step @p334 :rule chain_m_resolution :premises (@p333 @p290) :args (@t181 (@list true) (@list @t175))) % 2.32/2.55 (step @p335 :rule cnf_or_pos :args (@t195)) % 2.32/2.55 (step @p336 :rule reordering :premises (@p335) :args ((or @t182 @t194 (not @t195)))) % 2.32/2.55 (step @p337 :rule chain_m_resolution :premises (@p336 @p334 @p294) :args (@t194 (@list false false) (@list @t181 @t195))) % 2.32/2.55 (step @p338 :rule cnf_or_pos :args (@t197)) % 2.32/2.55 (step @p339 :rule reordering :premises (@p338) :args ((or @t196 @t178 (not @t197)))) % 2.32/2.55 (step @p340 false :rule chain_m_resolution :premises (@p339 @p337 @p293 @p172) :args (false (@list false true false) (@list @t194 @t178 @t197))) % 2.32/2.55 ) % 2.32/2.55 % SZS output end Proof % 2.32/2.55 % cvc5 exiting %------------------------------------------------------------------------------