0.11/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.11/0.13 % Command : run_portfolio.sh /export/starexec/sandbox2/benchmark/theBenchmark.p /export/starexec/sandbox2/tmp/tmp.0iy6sqFdAs 0.12/0.34 % Computer : n004.cluster.edu 0.12/0.34 % Model : x86_64 x86_64 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.12/0.34 % Memory : 8042.1875MB 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64 0.12/0.34 % CPULimit : 180 0.12/0.34 % DateTime : Thu Aug 29 15:37:53 EDT 2019 0.12/0.34 % CPUTime : 124.35/125.20 % Running portfolio for 180 s 124.35/125.20 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p 124.35/125.20 % TempDir : /export/starexec/sandbox2/tmp/tmp.0iy6sqFdAs 124.35/125.20 % Recognized as monomorphic HO. 124.35/125.20 % Running /export/starexec/sandbox2/solver/bin/competitive.sh for 18 124.35/125.20 % Running /export/starexec/sandbox2/solver/bin/competitive.2.sh for 13 124.35/125.20 % Running /export/starexec/sandbox2/solver/bin/competitive.3.sh for 3 124.35/125.20 % Running /export/starexec/sandbox2/solver/bin/pragmatic.rudimentary.sh for 28 124.35/125.20 % Running /export/starexec/sandbox2/solver/bin/pragmatic.rudimentary.1.sh for 12 124.35/125.20 % Running /export/starexec/sandbox2/solver/bin/pragmatic.rudimentary.2.sh for 7 124.35/125.20 % Running /export/starexec/sandbox2/solver/bin/pragmatic.shallow.sh for 3 124.35/125.20 % Running /export/starexec/sandbox2/solver/bin/pragmatic.shallow.1.sh for 14 124.35/125.20 % Running /export/starexec/sandbox2/solver/bin/pragmatic.shallow.2.sh for 12 124.35/125.20 % Running /export/starexec/sandbox2/solver/bin/pragmatic.ll.e.sh for 16 124.35/125.20 % Solved by: pragmatic.ll.e.sh 124.35/125.20 % Running : timeout 16 /export/starexec/sandbox2/solver/bin/eprover-ho /export/starexec/sandbox2/tmp/tmp.0iy6sqFdAs/e_input611e7e --cpu-limit=14 --auto-schedule -s -p. 124.35/125.20 % done 519 iterations in 14.721s 124.35/125.20 % hashcons stats for terms: size 4096, num 5464, sum length 14305, buckets: small 0, median 3, big 13 124.35/125.20 % proof state stats: {active 151, passive 6837, simpl 0} 124.35/125.20 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p' 124.35/125.20 % SZS output start Refutation 124.35/125.20 tff(cumulative_ax, axiom, 124.35/125.20 (![X:mu,V,W]: 124.35/125.20 ((rel_s4(V,W) & exists_in_world(X,V)) => exists_in_world(X,W)))). 124.35/125.20 tff('0', plain, 124.35/125.20 ![X97 : mu, X98, X99]: 124.35/125.20 (~ exists_in_world(X97, X98) 124.35/125.20 | ~ rel_s4(X98, X99) 124.35/125.20 | exists_in_world(X97, X99)), 124.35/125.20 inference('cnf', [status(esa)], [cumulative_ax])). 124.35/125.20 tff(mbox_s4, axiom, mbox_s4() = 124.35/125.20 ^[Phi:($i > $o),W]: (![V]: (Phi(V) | (~rel_s4(W,V))))). 124.35/125.20 tff('1', plain, 124.35/125.20 mbox_s4 = (^[V_1:($i > $o),V_2]: (![X2]: (V_1(X2) | (~rel_s4(V_2,X2))))), 124.35/125.20 define([status(thm)])). 124.35/125.20 tff(mvalid, axiom, mvalid() = ^[Phi:($i > $o)]: (![W]: Phi(W))). 124.35/125.20 tff('2', plain, mvalid = (^[V_1:($i > $o)]: (![X2]: V_1(X2))), 124.35/125.20 define([status(thm)])). 124.35/125.20 tff(mforall_ind, axiom, mforall_ind() = 124.35/125.20 ^[Phi:((mu * $i) > $o),W]: (![X:mu]: (exists_in_world(X,W) => Phi(X,W)))). 124.35/125.20 tff('3', plain, 124.35/125.20 mforall_ind = 124.35/125.20 (^[V_1:((mu * $i) > $o),V_2]: 124.35/125.20 (![X2:mu]: (exists_in_world(X2,V_2) => V_1(X2,V_2)))), 124.35/125.20 define([status(thm)])). 124.35/125.20 tff(mimplies, axiom, mimplies() = 124.35/125.20 ^[Phi:($i > $o),Psi:($i > $o)]: mor(mnot(Phi),Psi)). 124.35/125.20 tff('4', plain, 124.35/125.20 mimplies = (^[V_1:($i > $o),V_2:($i > $o)]: mor(mnot(V_1),V_2)), 124.35/125.20 define([status(thm)])). 124.35/125.20 tff(mand, axiom, mand() = 124.35/125.20 ^[Phi:($i > $o),Psi:($i > $o)]: mnot(mor(mnot(Phi),mnot(Psi)))). 124.35/125.20 tff('5', plain, 124.35/125.20 mand = (^[V_1:($i > $o),V_2:($i > $o)]: mnot(mor(mnot(V_1),mnot(V_2)))), 124.35/125.20 define([status(thm)])). 124.35/125.20 tff(mor, axiom, mor() = ^[Phi:($i > $o),Psi:($i > $o),W]: (Psi(W) | Phi(W))). 124.35/125.20 tff('6', plain, 124.35/125.20 mor = (^[V_1:($i > $o),V_2:($i > $o),V_3]: (V_2(V_3) | V_1(V_3))), 124.35/125.20 define([status(thm)])). 124.35/125.20 tff(mnot, axiom, mnot() = ^[Phi:($i > $o),W]: (~Phi(W))). 124.35/125.20 tff('7', plain, mnot = (^[V_1:($i > $o),V_2]: (~V_1(V_2))), 124.35/125.20 define([status(thm)])). 124.35/125.20 tff(kn2, axiom, 124.35/125.20 (mvalid(mand(mbox_s4(mimplies(mbox_s4(kn2), 124.35/125.20 mbox_s4(mforall_ind(^[P:mu]: 124.35/125.20 mbox_s4(mforall_ind( 124.35/125.20 ^[Q:mu]: 124.35/125.20 mbox_s4( 124.35/125.20 is_a_theorem( 124.35/125.20 implies( 124.35/125.20 and(P,Q),P))))))))), 124.35/125.20 mbox_s4(mimplies(mbox_s4(mforall_ind(^[P:mu]: 124.35/125.20 mbox_s4(mforall_ind( 124.35/125.20 ^[Q:mu]: 124.35/125.20 mbox_s4( 124.35/125.20 is_a_theorem( 124.35/125.20 implies( 124.35/125.20 and(P,Q),P))))))), 124.35/125.20 mbox_s4(kn2))))))). 124.35/125.20 tff(zf_stmt_0, axiom, 124.35/125.20 (![X2]: 124.35/125.20 (~ 124.35/125.20 ((~ 124.35/125.20 (![X3]: 124.35/125.20 ((~ 124.35/125.20 (![X5]: 124.35/125.20 ((![X6:mu]: 124.35/125.20 (exists_in_world(X6,X5) => 124.35/125.20 (![X7]: 124.35/125.20 ((![X8:mu]: 124.35/125.20 (exists_in_world(X8,X7) => 124.35/125.20 (![X9]: 124.35/125.20 (is_a_theorem(implies(and(X6,X8),X6),X9) | 124.35/125.20 (~rel_s4(X7,X9)))))) | 124.35/125.20 (~rel_s4(X5,X7)))))) | 124.35/125.20 (~rel_s4(X3,X5))))) | 124.35/125.20 (![X4]: (kn2(X4) | (~rel_s4(X3,X4)))) | (~rel_s4(X2,X3))))) | 124.35/125.20 (~ 124.35/125.20 (![X10]: 124.35/125.20 ((~(![X16]: (kn2(X16) | (~rel_s4(X10,X16))))) | 124.35/125.20 (![X11]: 124.35/125.20 ((![X12:mu]: 124.35/125.20 (exists_in_world(X12,X11) => 124.35/125.20 (![X13]: 124.35/125.20 ((![X14:mu]: 124.35/125.20 (exists_in_world(X14,X13) => 124.35/125.20 (![X15]: 124.35/125.20 (is_a_theorem(implies(and(X12,X14),X12),X15) | 124.35/125.20 (~rel_s4(X13,X15)))))) | 124.35/125.20 (~rel_s4(X11,X13)))))) | 124.35/125.20 (~rel_s4(X10,X11)))) | 124.35/125.20 (~rel_s4(X2,X10))))))))). 124.35/125.20 tff('8', plain, 124.35/125.20 ![X465, X466, X467]: 124.35/125.20 (exists_in_world(sk_X6_17(X465), sk_X5_17(X465)) 124.35/125.20 | ~ rel_s4(X465, X466) 124.35/125.20 | kn2(X466) 124.35/125.20 | ~ rel_s4(X467, X465)), 124.35/125.20 inference('cnf', [status(esa)], [zf_stmt_0])). 124.35/125.20 tff(rosser_kn2, conjecture, (mvalid(mbox_s4(kn2)))). 124.35/125.20 tff(zf_stmt_1, conjecture, (![X2,X3]: (kn2(X3) | (~rel_s4(X2,X3))))). 124.35/125.20 tff(zf_stmt_2, negated_conjecture, 124.35/125.20 (~(![X2,X3]: (kn2(X3) | (~rel_s4(X2,X3)))))). 124.35/125.20 tff('9', plain, rel_s4(sk_X2_, sk_X3_), 124.35/125.20 inference('cnf', [status(esa)], [zf_stmt_2])). 124.35/125.20 tff(mreflexive, axiom, mreflexive() = ^[R:(($i * $i) > $o)]: (![S]: R(S,S))). 124.35/125.20 tff('10', plain, mreflexive = (^[V_1:(($i * $i) > $o)]: (![X2]: V_1(X2,X2))), 124.35/125.20 define([status(thm)])). 124.35/125.20 tff(a1, axiom, (mreflexive(rel_s4))). 124.35/125.20 tff(zf_stmt_3, axiom, (![X2]: rel_s4(X2,X2))). 124.35/125.20 tff('11', plain, ![X96]: rel_s4(X96, X96), 124.35/125.20 inference('cnf', [status(esa)], [zf_stmt_3])). 124.35/125.20 tff('12', plain, 124.35/125.20 ![X465, X466, X467]: 124.35/125.20 (rel_s4(sk_X5_17(X465), sk_X7_17(X465)) 124.35/125.20 | ~ rel_s4(X465, X466) 124.35/125.20 | kn2(X466) 124.35/125.20 | ~ rel_s4(X467, X465)), 124.35/125.20 inference('cnf', [status(esa)], [zf_stmt_0])). 124.35/125.20 tff('13', plain, 124.35/125.20 ![X465, X466, X467]: 124.35/125.20 (exists_in_world(sk_X8_15(X465), sk_X7_17(X465)) 124.35/125.20 | ~ rel_s4(X465, X466) 124.35/125.20 | kn2(X466) 124.35/125.20 | ~ rel_s4(X467, X465)), 124.35/125.20 inference('cnf', [status(esa)], [zf_stmt_0])). 124.35/125.20 tff('14', plain, 124.35/125.20 ![X465, X466, X467]: 124.35/125.20 (rel_s4(sk_X7_17(X465), sk_X9_23(X465)) 124.35/125.20 | ~ rel_s4(X465, X466) 124.35/125.20 | kn2(X466) 124.35/125.20 | ~ rel_s4(X467, X465)), 124.35/125.20 inference('cnf', [status(esa)], [zf_stmt_0])). 124.35/125.20 tff(hilbert_and_1, axiom, (mvalid(mbox_s4(and_1)))). 124.35/125.20 tff(zf_stmt_4, axiom, (![X2,X3]: (and_1(X3) | (~rel_s4(X2,X3))))). 124.35/125.20 tff('15', plain, ![X289, X290]: (and_1(X289) | ~ rel_s4(X290, X289)), 124.35/125.20 inference('cnf', [status(esa)], [zf_stmt_4])). 124.35/125.20 tff(and_1, axiom, 124.35/125.20 (mvalid(mand(mbox_s4(mimplies(mbox_s4(and_1), 124.35/125.20 mbox_s4(mforall_ind(^[X:mu]: 124.35/125.20 mbox_s4(mforall_ind( 124.35/125.20 ^[Y:mu]: 124.35/125.20 mbox_s4( 124.35/125.20 is_a_theorem( 124.35/125.20 implies( 124.35/125.20 and(X,Y),X))))))))), 124.35/125.20 mbox_s4(mimplies(mbox_s4(mforall_ind(^[X:mu]: 124.35/125.20 mbox_s4(mforall_ind( 124.35/125.20 ^[Y:mu]: 124.35/125.20 mbox_s4( 124.41/125.21 is_a_theorem( 124.41/125.21 implies( 124.41/125.21 and(X,Y),X))))))), 124.41/125.21 mbox_s4(and_1))))))). 124.41/125.21 tff(zf_stmt_5, axiom, 124.41/125.21 (![X2]: 124.41/125.21 (~ 124.41/125.21 ((~ 124.41/125.21 (![X3]: 124.41/125.21 ((~ 124.41/125.21 (![X5]: 124.41/125.21 ((![X6:mu]: 124.41/125.21 (exists_in_world(X6,X5) => 124.41/125.21 (![X7]: 124.41/125.21 ((![X8:mu]: 124.41/125.21 (exists_in_world(X8,X7) => 124.41/125.21 (![X9]: 124.41/125.21 (is_a_theorem(implies(and(X6,X8),X6),X9) | 124.41/125.21 (~rel_s4(X7,X9)))))) | 124.41/125.21 (~rel_s4(X5,X7)))))) | 124.41/125.21 (~rel_s4(X3,X5))))) | 124.41/125.21 (![X4]: (and_1(X4) | (~rel_s4(X3,X4)))) | (~rel_s4(X2,X3))))) | 124.41/125.21 (~ 124.41/125.21 (![X10]: 124.41/125.21 ((~(![X16]: (and_1(X16) | (~rel_s4(X10,X16))))) | 124.41/125.21 (![X11]: 124.41/125.21 ((![X12:mu]: 124.41/125.21 (exists_in_world(X12,X11) => 124.41/125.21 (![X13]: 124.41/125.21 ((![X14:mu]: 124.41/125.21 (exists_in_world(X14,X13) => 124.41/125.21 (![X15]: 124.41/125.21 (is_a_theorem(implies(and(X12,X14),X12),X15) | 124.41/125.21 (~rel_s4(X13,X15)))))) | 124.41/125.21 (~rel_s4(X11,X13)))))) | 124.41/125.21 (~rel_s4(X10,X11)))) | 124.41/125.21 (~rel_s4(X2,X10))))))))). 124.41/125.21 tff('16', plain, 124.41/125.21 ![X470, X471, X472, X473, X474 : mu, X475 : mu, X476]: 124.41/125.21 (~ and_1(sk_X16_11(X470)) 124.41/125.21 | ~ rel_s4(X470, X471) 124.41/125.21 | ~ rel_s4(X471, X472) 124.41/125.21 | ~ rel_s4(X472, X473) 124.41/125.21 | is_a_theorem(implies(and(X474, X475), X474), X473) 124.41/125.21 | ~ exists_in_world(X475, X472) 124.41/125.21 | ~ exists_in_world(X474, X471) 124.41/125.21 | ~ rel_s4(X476, X470)), 124.41/125.21 inference('cnf', [status(esa)], [zf_stmt_5])). 124.41/125.21 tff('17', plain, 124.41/125.21 ![X465, X466, X467]: 124.41/125.21 (~ is_a_theorem( 124.41/125.21 implies(and(sk_X6_17(X465), sk_X8_15(X465)), sk_X6_17(X465)), 124.41/125.21 sk_X9_23(X465)) 124.41/125.21 | ~ rel_s4(X465, X466) 124.41/125.21 | kn2(X466) 124.41/125.21 | ~ rel_s4(X467, X465)), 124.41/125.21 inference('cnf', [status(esa)], [zf_stmt_0])). 124.41/125.21 tff('18', plain, ~ kn2(sk_X3_), inference('cnf', [status(esa)], [zf_stmt_2])). 124.41/125.21 tff('19', plain, $false, 124.41/125.21 inference('eprover', [status(thm)], 124.41/125.21 ['0', '8', '9', '11', '12', '13', '14', '15', '16', '17', '18'])). 124.41/125.21 124.41/125.21 % SZS output end Refutation 124.41/125.21 % Zipperpin 1.5 exiting 124.42/125.21 EOF