0.07/0.11 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.07/0.12 % Command : run_portfolio.sh /export/starexec/sandbox/benchmark/theBenchmark.p /export/starexec/sandbox/tmp/tmp.QUi4VuZIVj 0.11/0.32 % Computer : n004.cluster.edu 0.11/0.32 % Model : x86_64 x86_64 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.11/0.32 % Memory : 8042.1875MB 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64 0.11/0.32 % CPULimit : 1200 0.11/0.32 % DateTime : Tue Jul 13 14:06:54 EDT 2021 0.11/0.32 % CPUTime : 0.11/0.32 % Running portfolio for 120 s 0.11/0.32 % File : /export/starexec/sandbox/benchmark/theBenchmark.p 0.11/0.32 % Number of cores: 8 0.11/0.32 % Python version: Python 3.6.8 0.11/0.32 % Running in HO mode 0.17/0.52 % Estimated wc time : 1286 0.17/0.52 % Estimated cpu time (7 cpus) : 183.71428571428572 0.63/0.55 % /export/starexec/sandbox/solver/bin/lams/s6.sh running for 21s 0.63/0.56 % /export/starexec/sandbox/solver/bin/lams/new_b3.2.norw.sh running for 15s 0.88/0.59 % /export/starexec/sandbox/solver/bin/lams/b.rpo.sh running for 21s 0.88/0.60 % /export/starexec/sandbox/solver/bin/lams/c.easy.sh running for 26s 0.88/0.60 % /export/starexec/sandbox/solver/bin/lams/s6.ds.sh running for 10s 0.88/0.61 % /export/starexec/sandbox/solver/bin/lams/c.s.2.sh running for 68s 0.88/0.61 % /export/starexec/sandbox/solver/bin/lams/old_b3.avatar.sh running for 15s 68.99/10.45 % /export/starexec/sandbox/solver/bin/lams/old_sp2.sh running for 17s 103.48/15.43 % /export/starexec/sandbox/solver/bin/lams/b.sh running for 31s 105.08/15.76 % /export/starexec/sandbox/solver/bin/lams/sh1.sh running for 26s 144.20/21.44 % /export/starexec/sandbox/solver/bin/lams/b.lsimp.sh running for 17s 145.00/21.59 % /export/starexec/sandbox/solver/bin/lams/b.split.sh running for 31s 164.03/24.39 % Solved by lams/c.s.2.sh. 164.03/24.39 % Running : timeout 52 /export/starexec/sandbox/solver/bin/lams/eprover-ho --pos-ext=all --neg-ext=all /export/starexec/sandbox/tmp/tmp.QUi4VuZIVj/e_inputea29cc --cpu-limit=50 --auto-schedule -s -p. 164.03/24.39 % done 2025 iterations in 23.748s 164.03/24.39 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p' 164.03/24.39 % SZS output start Refutation 164.03/24.39 tff(conj_thm_2Equotient_2EQUOTIENT__REL, axiom, 164.03/24.39 (![A_27a:del,A_27b:del,V0R]: 164.03/24.39 (mem(V0R,arr(A_27a,arr(A_27a,bool))) => 164.03/24.39 (![V1abs]: 164.03/24.39 (mem(V1abs,arr(A_27a,A_27b)) => 164.03/24.39 (![V2rep]: 164.03/24.39 (mem(V2rep,arr(A_27b,A_27a)) => 164.03/24.39 (p(ap(ap(ap(c_2Equotient_2EQUOTIENT(A_27a,A_27b),V0R),V1abs), 164.03/24.39 V2rep)) => 164.03/24.39 (![V3r]: 164.03/24.39 (mem(V3r,A_27a) => 164.03/24.39 (![V4s]: 164.03/24.39 (mem(V4s,A_27a) => 164.03/24.39 ((p(ap(ap(V0R,V3r),V3r)) & 164.03/24.39 (ap(V1abs,V3r) = ap(V1abs,V4s)) & 164.03/24.39 p(ap(ap(V0R,V4s),V4s))) <=> 164.03/24.39 p(ap(ap(V0R,V3r),V4s))))))))))))))). 164.03/24.39 tff('0', plain, 164.03/24.39 ![X39, X40 : del, X41 : del, X42, X43, X44, X45]: 164.03/24.39 (~ mem(X39, arr(X40, X41)) 164.03/24.39 | ~ mem(X42, X40) 164.03/24.39 | ~ p(ap(ap(X43, X44), X42)) 164.03/24.39 | p(ap(ap(X43, X42), X42)) 164.03/24.39 | ~ mem(X44, X40) 164.03/24.39 | ~ p(ap(ap(ap(c_2Equotient_2EQUOTIENT(X40, X41), X43), X39), X45)) 164.03/24.39 | ~ mem(X45, arr(X41, X40)) 164.03/24.39 | ~ mem(X43, arr(X40, arr(X40, bool)))), 164.03/24.39 inference('cnf', [status(esa)], [conj_thm_2Equotient_2EQUOTIENT__REL])). 164.03/24.39 tff(conj_thm_2Equotient_2EFUN__REL__EQ__REL, conjecture, 164.03/24.39 (![A_27a:del,A_27b:del,A_27c:del,A_27d:del,V0R1]: 164.03/24.39 (mem(V0R1,arr(A_27a,arr(A_27a,bool))) => 164.03/24.39 (![V1abs1]: 164.03/24.39 (mem(V1abs1,arr(A_27a,A_27c)) => 164.03/24.39 (![V2rep1]: 164.03/24.39 (mem(V2rep1,arr(A_27c,A_27a)) => 164.03/24.39 (p(ap(ap(ap(c_2Equotient_2EQUOTIENT(A_27a,A_27c),V0R1),V1abs1), 164.03/24.39 V2rep1)) => 164.03/24.39 (![V3R2]: 164.03/24.39 (mem(V3R2,arr(A_27b,arr(A_27b,bool))) => 164.03/24.39 (![V4abs2]: 164.03/24.39 (mem(V4abs2,arr(A_27b,A_27d)) => 164.03/24.39 (![V5rep2]: 164.03/24.39 (mem(V5rep2,arr(A_27d,A_27b)) => 164.03/24.39 (p(ap(ap(ap(c_2Equotient_2EQUOTIENT(A_27b,A_27d), 164.03/24.39 V3R2), 164.03/24.39 V4abs2), 164.03/24.39 V5rep2)) => 164.03/24.39 (![V6f]: 164.03/24.39 (mem(V6f,arr(A_27a,A_27b)) => 164.03/24.39 (![V7g]: 164.03/24.39 (mem(V7g,arr(A_27a,A_27b)) => 164.03/24.39 (p(ap(ap(ap(ap(c_2Equotient_2E_3D_3D_3D_3E( 164.03/24.39 A_27a,A_27b),V0R1), 164.03/24.39 V3R2), 164.03/24.39 V6f), 164.03/24.39 V7g)) <=> 164.03/24.39 (p(ap(ap(c_2Equotient_2Erespects( 164.03/24.39 arr(A_27a,A_27b),bool), 164.03/24.39 ap(ap(c_2Equotient_2E_3D_3D_3D_3E( 164.03/24.39 A_27a,A_27b),V0R1), 164.03/24.39 V3R2)), 164.03/24.39 V6f)) & 164.03/24.39 p(ap(ap(c_2Equotient_2Erespects( 164.03/24.39 arr(A_27a,A_27b),bool), 164.03/24.39 ap(ap(c_2Equotient_2E_3D_3D_3D_3E( 164.03/24.39 A_27a,A_27b),V0R1), 164.03/24.39 V3R2)), 164.03/24.39 V7g)) & 164.03/24.39 (ap(ap(ap(c_2Equotient_2E_2D_2D_3E( 164.03/24.39 A_27c,A_27b,A_27a,A_27d), 164.03/24.39 V2rep1), 164.03/24.39 V4abs2), 164.03/24.39 V6f) = 164.03/24.39 ap(ap(ap(c_2Equotient_2E_2D_2D_3E( 164.03/24.39 A_27c,A_27b,A_27a,A_27d), 164.03/24.39 V2rep1), 164.03/24.39 V4abs2), 164.03/24.39 V7g))))))))))))))))))))))). 164.03/24.39 tff(zf_stmt_0, negated_conjecture, 164.03/24.39 (~ 164.03/24.39 (![A_27a:del,A_27b:del,A_27c:del,A_27d:del,V0R1]: 164.03/24.39 (mem(V0R1,arr(A_27a,arr(A_27a,bool))) => 164.03/24.39 (![V1abs1]: 164.03/24.39 (mem(V1abs1,arr(A_27a,A_27c)) => 164.03/24.39 (![V2rep1]: 164.03/24.39 (mem(V2rep1,arr(A_27c,A_27a)) => 164.03/24.39 (p(ap(ap(ap(c_2Equotient_2EQUOTIENT(A_27a,A_27c),V0R1),V1abs1), 164.03/24.39 V2rep1)) => 164.03/24.39 (![V3R2]: 164.03/24.39 (mem(V3R2,arr(A_27b,arr(A_27b,bool))) => 164.03/24.39 (![V4abs2]: 164.03/24.39 (mem(V4abs2,arr(A_27b,A_27d)) => 164.03/24.39 (![V5rep2]: 164.03/24.39 (mem(V5rep2,arr(A_27d,A_27b)) => 164.03/24.39 (p(ap(ap(ap(c_2Equotient_2EQUOTIENT(A_27b,A_27d), 164.03/24.39 V3R2), 164.03/24.39 V4abs2), 164.03/24.39 V5rep2)) => 164.03/24.39 (![V6f]: 164.03/24.39 (mem(V6f,arr(A_27a,A_27b)) => 164.03/24.39 (![V7g]: 164.03/24.39 (mem(V7g,arr(A_27a,A_27b)) => 164.03/24.39 (p(ap(ap(ap(ap(c_2Equotient_2E_3D_3D_3D_3E( 164.03/24.39 A_27a,A_27b),V0R1), 164.03/24.39 V3R2), 164.03/24.39 V6f), 164.03/24.39 V7g)) <=> 164.03/24.39 (p(ap(ap(c_2Equotient_2Erespects( 164.03/24.39 arr(A_27a,A_27b),bool), 164.03/24.39 ap(ap(c_2Equotient_2E_3D_3D_3D_3E( 164.03/24.39 A_27a,A_27b),V0R1), 164.03/24.39 V3R2)), 164.03/24.39 V6f)) & 164.03/24.39 p(ap(ap(c_2Equotient_2Erespects( 164.03/24.39 arr(A_27a,A_27b),bool), 164.03/24.39 ap(ap(c_2Equotient_2E_3D_3D_3D_3E( 164.03/24.39 A_27a,A_27b),V0R1), 164.03/24.39 V3R2)), 164.03/24.39 V7g)) & 164.03/24.39 (ap(ap(ap(c_2Equotient_2E_2D_2D_3E( 164.03/24.39 A_27c,A_27b,A_27a,A_27d), 164.03/24.39 V2rep1), 164.03/24.39 V4abs2), 164.03/24.39 V6f) = 164.03/24.39 ap(ap(ap(c_2Equotient_2E_2D_2D_3E( 164.03/24.39 A_27c,A_27b,A_27a,A_27d), 164.03/24.39 V2rep1), 164.03/24.39 V4abs2), 164.03/24.39 V7g)))))))))))))))))))))))). 164.03/24.39 tff('1', plain, 164.03/24.39 ( p( 164.03/24.39 ap( 164.03/24.39 ap(c_2Equotient_2Erespects(arr(sk_A_27a, sk_A_27b), bool), 164.03/24.39 ap(ap(c_2Equotient_2E_3D_3D_3D_3E(sk_A_27a, sk_A_27b), sk_V0R1), 164.03/24.39 sk_V3R2)), sk_V7g)) 164.03/24.39 | p( 164.03/24.39 ap( 164.03/24.39 ap( 164.03/24.39 ap( 164.03/24.39 ap(c_2Equotient_2E_3D_3D_3D_3E(sk_A_27a, sk_A_27b), sk_V0R1), 164.03/24.39 sk_V3R2), sk_V6f), sk_V7g))), 164.03/24.39 inference('cnf', [status(esa)], [zf_stmt_0])). 164.03/24.39 tff(ax_thm_2Equotient_2Erespects__def, axiom, 164.03/24.39 (![A_27a:del,A_27b:del]: 164.03/24.39 (c_2Equotient_2Erespects(A_27a,A_27b) = c_2Ecombin_2EW(A_27a,A_27b)))). 164.03/24.39 tff('2', plain, 164.03/24.39 ![X37 : del, X38 : del]: 164.03/24.39 c_2Equotient_2Erespects(X37, X38) = c_2Ecombin_2EW(X37, X38), 164.03/24.39 inference('cnf', [status(esa)], [ax_thm_2Equotient_2Erespects__def])). 164.03/24.39 tff('3', plain, 164.03/24.39 ( p( 164.03/24.39 ap( 164.03/24.39 ap(c_2Ecombin_2EW(arr(sk_A_27a, sk_A_27b), bool), 164.03/24.39 ap(ap(c_2Equotient_2E_3D_3D_3D_3E(sk_A_27a, sk_A_27b), sk_V0R1), 164.03/24.39 sk_V3R2)), sk_V7g)) 164.03/24.39 | p( 164.03/24.39 ap( 164.03/24.39 ap( 164.03/24.39 ap( 164.03/24.39 ap(c_2Equotient_2E_3D_3D_3D_3E(sk_A_27a, sk_A_27b), sk_V0R1), 164.03/24.39 sk_V3R2), sk_V6f), sk_V7g))), 164.03/24.39 inference('demod', [status(thm)], ['1', '2'])). 164.03/24.39 tff('4', plain, mem(sk_V1abs1, arr(sk_A_27a, sk_A_27c)), 164.03/24.39 inference('cnf', [status(esa)], [zf_stmt_0])). 164.03/24.39 tff('5', plain, mem(sk_V2rep1, arr(sk_A_27c, sk_A_27a)), 164.03/24.39 inference('cnf', [status(esa)], [zf_stmt_0])). 164.03/24.39 tff('6', plain, 164.03/24.39 p( 164.03/24.39 ap( 164.03/24.39 ap(ap(c_2Equotient_2EQUOTIENT(sk_A_27a, sk_A_27c), sk_V0R1), 164.03/24.39 sk_V1abs1), sk_V2rep1)), 164.03/24.39 inference('cnf', [status(esa)], [zf_stmt_0])). 164.03/24.39 tff('7', plain, 164.03/24.39 (ap( 164.03/24.39 ap( 164.03/24.39 ap( 164.03/24.39 c_2Equotient_2E_2D_2D_3E(sk_A_27c, sk_A_27b, sk_A_27a, sk_A_27d), 164.03/24.39 sk_V2rep1), sk_V4abs2), sk_V6f) 164.03/24.39 != ap( 164.03/24.39 ap( 164.03/24.39 ap( 164.03/24.39 c_2Equotient_2E_2D_2D_3E(sk_A_27c, sk_A_27b, sk_A_27a, 164.03/24.39 sk_A_27d), sk_V2rep1), sk_V4abs2), sk_V7g) 164.03/24.39 | ~ p( 164.03/24.39 ap( 164.03/24.39 ap(c_2Equotient_2Erespects(arr(sk_A_27a, sk_A_27b), bool), 164.03/24.39 ap( 164.03/24.39 ap(c_2Equotient_2E_3D_3D_3D_3E(sk_A_27a, sk_A_27b), sk_V0R1), 164.03/24.39 sk_V3R2)), sk_V7g)) 164.03/24.39 | ~ p( 164.03/24.39 ap( 164.03/24.39 ap(c_2Equotient_2Erespects(arr(sk_A_27a, sk_A_27b), bool), 164.03/24.39 ap( 164.03/24.39 ap(c_2Equotient_2E_3D_3D_3D_3E(sk_A_27a, sk_A_27b), sk_V0R1), 164.03/24.39 sk_V3R2)), sk_V6f)) 164.03/24.39 | ~ p( 164.03/24.39 ap( 164.03/24.39 ap( 164.03/24.39 ap( 164.03/24.39 ap(c_2Equotient_2E_3D_3D_3D_3E(sk_A_27a, sk_A_27b), sk_V0R1), 164.03/24.39 sk_V3R2), sk_V6f), sk_V7g))), 164.03/24.39 inference('cnf', [status(esa)], [zf_stmt_0])). 164.03/24.39 tff('8', plain, 164.03/24.39 ![X37 : del, X38 : del]: 164.03/24.39 c_2Equotient_2Erespects(X37, X38) = c_2Ecombin_2EW(X37, X38), 164.03/24.39 inference('cnf', [status(esa)], [ax_thm_2Equotient_2Erespects__def])). 164.03/24.39 tff('9', plain, 164.03/24.39 ![X37 : del, X38 : del]: 164.03/24.39 c_2Equotient_2Erespects(X37, X38) = c_2Ecombin_2EW(X37, X38), 164.03/24.39 inference('cnf', [status(esa)], [ax_thm_2Equotient_2Erespects__def])). 164.03/24.39 tff('10', plain, 164.03/24.39 (ap( 164.03/24.39 ap( 164.03/24.39 ap( 164.03/24.39 c_2Equotient_2E_2D_2D_3E(sk_A_27c, sk_A_27b, sk_A_27a, sk_A_27d), 164.03/24.39 sk_V2rep1), sk_V4abs2), sk_V6f) 164.03/24.39 != ap( 164.03/24.39 ap( 164.03/24.39 ap( 164.03/24.39 c_2Equotient_2E_2D_2D_3E(sk_A_27c, sk_A_27b, sk_A_27a, 164.03/24.39 sk_A_27d), sk_V2rep1), sk_V4abs2), sk_V7g) 164.03/24.39 | ~ p( 164.03/24.39 ap( 164.03/24.39 ap(c_2Ecombin_2EW(arr(sk_A_27a, sk_A_27b), bool), 164.03/24.39 ap( 164.03/24.39 ap(c_2Equotient_2E_3D_3D_3D_3E(sk_A_27a, sk_A_27b), sk_V0R1), 164.03/24.39 sk_V3R2)), sk_V7g)) 164.03/24.39 | ~ p( 164.03/24.39 ap( 164.03/24.39 ap(c_2Ecombin_2EW(arr(sk_A_27a, sk_A_27b), bool), 164.03/24.39 ap( 164.03/24.39 ap(c_2Equotient_2E_3D_3D_3D_3E(sk_A_27a, sk_A_27b), sk_V0R1), 164.03/24.39 sk_V3R2)), sk_V6f)) 164.03/24.39 | ~ p( 164.03/24.39 ap( 164.03/24.39 ap( 164.03/24.39 ap( 164.03/24.39 ap(c_2Equotient_2E_3D_3D_3D_3E(sk_A_27a, sk_A_27b), sk_V0R1), 164.03/24.39 sk_V3R2), sk_V6f), sk_V7g))), 164.03/24.39 inference('demod', [status(thm)], ['7', '8', '9'])). 164.03/24.39 tff('11', plain, 164.03/24.39 ![X39, X40 : del, X41 : del, X42, X43, X44, X45]: 164.03/24.39 (~ mem(X39, arr(X40, X41)) 164.03/24.39 | ~ mem(X42, X40) 164.03/24.39 | ~ p(ap(ap(X43, X44), X44)) 164.03/24.39 | ap(X39, X44) != ap(X39, X42) 164.03/24.39 | ~ p(ap(ap(X43, X42), X42)) 164.03/24.39 | p(ap(ap(X43, X44), X42)) 164.03/24.39 | ~ mem(X44, X40) 164.03/24.39 | ~ p(ap(ap(ap(c_2Equotient_2EQUOTIENT(X40, X41), X43), X39), X45)) 164.03/24.39 | ~ mem(X45, arr(X41, X40)) 164.03/24.39 | ~ mem(X43, arr(X40, arr(X40, bool)))), 164.03/24.39 inference('cnf', [status(esa)], [conj_thm_2Equotient_2EQUOTIENT__REL])). 164.03/24.39 tff('12', plain, mem(sk_V5rep2, arr(sk_A_27d, sk_A_27b)), 164.03/24.39 inference('cnf', [status(esa)], [zf_stmt_0])). 164.03/24.39 tff('13', plain, mem(sk_V4abs2, arr(sk_A_27b, sk_A_27d)), 164.03/24.39 inference('cnf', [status(esa)], [zf_stmt_0])). 164.03/24.39 tff('14', plain, 164.03/24.39 p( 164.03/24.39 ap( 164.03/24.39 ap(ap(c_2Equotient_2EQUOTIENT(sk_A_27b, sk_A_27d), sk_V3R2), 164.03/24.39 sk_V4abs2), sk_V5rep2)), 164.03/24.39 inference('cnf', [status(esa)], [zf_stmt_0])). 164.03/24.39 tff('15', plain, mem(sk_V7g, arr(sk_A_27a, sk_A_27b)), 164.03/24.39 inference('cnf', [status(esa)], [zf_stmt_0])). 164.03/24.39 tff('16', plain, 164.03/24.39 (ap( 164.03/24.39 ap( 164.03/24.39 ap( 164.03/24.39 c_2Equotient_2E_2D_2D_3E(sk_A_27c, sk_A_27b, sk_A_27a, sk_A_27d), 164.03/24.39 sk_V2rep1), sk_V4abs2), sk_V6f) 164.03/24.39 = ap( 164.03/24.39 ap( 164.03/24.39 ap( 164.03/24.39 c_2Equotient_2E_2D_2D_3E(sk_A_27c, sk_A_27b, sk_A_27a, 164.03/24.39 sk_A_27d), sk_V2rep1), sk_V4abs2), sk_V7g) 164.03/24.39 | p( 164.03/24.39 ap( 164.03/24.39 ap( 164.03/24.39 ap( 164.03/24.39 ap(c_2Equotient_2E_3D_3D_3D_3E(sk_A_27a, sk_A_27b), sk_V0R1), 164.03/24.39 sk_V3R2), sk_V6f), sk_V7g))), 164.03/24.39 inference('cnf', [status(esa)], [zf_stmt_0])). 164.03/24.39 tff('17', plain, mem(sk_V6f, arr(sk_A_27a, sk_A_27b)), 164.03/24.39 inference('cnf', [status(esa)], [zf_stmt_0])). 164.03/24.39 tff('18', plain, mem(sk_V0R1, arr(sk_A_27a, arr(sk_A_27a, bool))), 164.03/24.39 inference('cnf', [status(esa)], [zf_stmt_0])). 164.03/24.39 tff('19', plain, mem(sk_V3R2, arr(sk_A_27b, arr(sk_A_27b, bool))), 164.03/24.39 inference('cnf', [status(esa)], [zf_stmt_0])). 164.03/24.39 tff('20', plain, 164.03/24.39 ( p( 164.03/24.39 ap( 164.03/24.39 ap(c_2Equotient_2Erespects(arr(sk_A_27a, sk_A_27b), bool), 164.03/24.39 ap(ap(c_2Equotient_2E_3D_3D_3D_3E(sk_A_27a, sk_A_27b), sk_V0R1), 164.03/24.39 sk_V3R2)), sk_V6f)) 164.03/24.39 | p( 164.03/24.39 ap( 164.03/24.39 ap( 164.03/24.39 ap( 164.03/24.39 ap(c_2Equotient_2E_3D_3D_3D_3E(sk_A_27a, sk_A_27b), sk_V0R1), 164.03/24.39 sk_V3R2), sk_V6f), sk_V7g))), 164.03/24.39 inference('cnf', [status(esa)], [zf_stmt_0])). 164.03/24.39 tff('21', plain, 164.03/24.39 ![X37 : del, X38 : del]: 164.03/24.39 c_2Equotient_2Erespects(X37, X38) = c_2Ecombin_2EW(X37, X38), 164.03/24.39 inference('cnf', [status(esa)], [ax_thm_2Equotient_2Erespects__def])). 164.03/24.39 tff('22', plain, 164.03/24.39 ( p( 164.03/24.39 ap( 164.03/24.39 ap(c_2Ecombin_2EW(arr(sk_A_27a, sk_A_27b), bool), 164.03/24.39 ap(ap(c_2Equotient_2E_3D_3D_3D_3E(sk_A_27a, sk_A_27b), sk_V0R1), 164.03/24.39 sk_V3R2)), sk_V6f)) 164.03/24.39 | p( 164.03/24.39 ap( 164.03/24.39 ap( 164.03/24.39 ap( 164.03/24.39 ap(c_2Equotient_2E_3D_3D_3D_3E(sk_A_27a, sk_A_27b), sk_V0R1), 164.03/24.39 sk_V3R2), sk_V6f), sk_V7g))), 164.03/24.39 inference('demod', [status(thm)], ['20', '21'])). 164.03/24.39 tff('23', plain, 164.03/24.39 ![X39, X40 : del, X41 : del, X42, X43, X44, X45]: 164.03/24.39 (~ mem(X39, arr(X40, X41)) 164.03/24.39 | ~ mem(X42, X40) 164.03/24.39 | ~ p(ap(ap(X43, X44), X42)) 164.03/24.39 | p(ap(ap(X43, X44), X44)) 164.03/24.39 | ~ mem(X44, X40) 164.03/24.39 | ~ p(ap(ap(ap(c_2Equotient_2EQUOTIENT(X40, X41), X43), X39), X45)) 164.03/24.39 | ~ mem(X45, arr(X41, X40)) 164.03/24.39 | ~ mem(X43, arr(X40, arr(X40, bool)))), 164.03/24.39 inference('cnf', [status(esa)], [conj_thm_2Equotient_2EQUOTIENT__REL])). 164.03/24.39 tff(conj_thm_2Equotient_2EFUN__QUOTIENT, axiom, 164.03/24.39 (![A_27a:del,A_27b:del,A_27c:del,A_27d:del,V0R1]: 164.03/24.39 (mem(V0R1,arr(A_27a,arr(A_27a,bool))) => 164.03/24.39 (![V1abs1]: 164.03/24.39 (mem(V1abs1,arr(A_27a,A_27c)) => 164.03/24.39 (![V2rep1]: 164.03/24.39 (mem(V2rep1,arr(A_27c,A_27a)) => 164.03/24.39 (p(ap(ap(ap(c_2Equotient_2EQUOTIENT(A_27a,A_27c),V0R1),V1abs1), 164.03/24.39 V2rep1)) => 164.03/24.39 (![V3R2]: 164.03/24.39 (mem(V3R2,arr(A_27b,arr(A_27b,bool))) => 164.03/24.39 (![V4abs2]: 164.03/24.39 (mem(V4abs2,arr(A_27b,A_27d)) => 164.03/24.39 (![V5rep2]: 164.03/24.39 (mem(V5rep2,arr(A_27d,A_27b)) => 164.03/24.39 (p(ap(ap(ap(c_2Equotient_2EQUOTIENT(A_27b,A_27d), 164.03/24.39 V3R2), 164.03/24.39 V4abs2), 164.03/24.39 V5rep2)) => 164.03/24.39 p(ap(ap(ap(c_2Equotient_2EQUOTIENT(arr(A_27a, 164.03/24.39 A_27b), 164.03/24.39 arr(A_27c, 164.03/24.39 A_27d)), 164.03/24.39 ap(ap(c_2Equotient_2E_3D_3D_3D_3E( 164.03/24.39 A_27a,A_27b),V0R1), 164.03/24.39 V3R2)), 164.03/24.39 ap(ap(c_2Equotient_2E_2D_2D_3E(A_27c, 164.03/24.39 A_27b, 164.03/24.39 A_27a, 164.03/24.39 A_27d), 164.03/24.39 V2rep1), 164.03/24.39 V4abs2)), 164.03/24.39 ap(ap(c_2Equotient_2E_2D_2D_3E(A_27a,A_27d, 164.03/24.39 A_27c,A_27b), 164.03/24.39 V1abs1), 164.03/24.39 V5rep2)))))))))))))))))). 164.03/24.39 tff('24', plain, 164.03/24.39 ![X22, X23 : del, X24 : del, X25, X26, X27, X28 : del, X29, X30 : del, 164.03/24.39 X31]: 164.03/24.39 (~ mem(X22, arr(X23, X24)) 164.03/24.39 | ~ p(ap(ap(ap(c_2Equotient_2EQUOTIENT(X23, X24), X25), X22), X26)) 164.03/24.39 | ~ mem(X27, arr(X28, arr(X28, bool))) 164.03/24.39 | ~ mem(X29, arr(X30, X28)) 164.03/24.39 | p( 164.03/24.39 ap( 164.03/24.39 ap( 164.03/24.39 ap(c_2Equotient_2EQUOTIENT(arr(X23, X28), arr(X24, X30)), 164.03/24.39 ap(ap(c_2Equotient_2E_3D_3D_3D_3E(X23, X28), X25), X27)), 164.03/24.39 ap(ap(c_2Equotient_2E_2D_2D_3E(X24, X28, X23, X30), X26), 164.03/24.39 X31)), 164.03/24.39 ap(ap(c_2Equotient_2E_2D_2D_3E(X23, X30, X24, X28), X22), X29))) 164.03/24.39 | ~ p(ap(ap(ap(c_2Equotient_2EQUOTIENT(X28, X30), X27), X31), X29)) 164.03/24.39 | ~ mem(X31, arr(X28, X30)) 164.03/24.39 | ~ mem(X26, arr(X24, X23)) 164.03/24.39 | ~ mem(X25, arr(X23, arr(X23, bool)))), 164.03/24.39 inference('cnf', [status(esa)], [conj_thm_2Equotient_2EFUN__QUOTIENT])). 164.03/24.39 tff('25', plain, 164.03/24.39 ![X39, X40 : del, X41 : del, X42, X43, X44, X45]: 164.03/24.39 (~ mem(X39, arr(X40, X41)) 164.03/24.39 | ~ mem(X42, X40) 164.03/24.39 | ~ p(ap(ap(X43, X44), X42)) 164.03/24.39 | ap(X39, X44) = ap(X39, X42) 164.03/24.39 | ~ mem(X44, X40) 164.03/24.39 | ~ p(ap(ap(ap(c_2Equotient_2EQUOTIENT(X40, X41), X43), X39), X45)) 164.03/24.39 | ~ mem(X45, arr(X41, X40)) 164.03/24.39 | ~ mem(X43, arr(X40, arr(X40, bool)))), 164.03/24.39 inference('cnf', [status(esa)], [conj_thm_2Equotient_2EQUOTIENT__REL])). 164.03/24.39 tff(conj_thm_2Ecombin_2EW__THM, axiom, 164.03/24.39 (![A_27a:del,A_27b:del,V0f]: 164.03/24.39 (mem(V0f,arr(A_27a,arr(A_27a,A_27b))) => 164.03/24.39 (![V1x]: 164.03/24.39 (mem(V1x,A_27a) => 164.03/24.39 (ap(ap(c_2Ecombin_2EW(A_27a,A_27b),V0f),V1x) = ap(ap(V0f,V1x),V1x))))))). 164.03/24.39 tff('26', plain, 164.03/24.39 ![X18, X19 : del, X20, X21 : del]: 164.03/24.39 (~ mem(X18, X19) 164.03/24.39 | ap(ap(c_2Ecombin_2EW(X19, X21), X20), X18) = ap(ap(X20, X18), X18) 164.03/24.39 | ~ mem(X20, arr(X19, arr(X19, X21)))), 164.03/24.39 inference('cnf', [status(esa)], [conj_thm_2Ecombin_2EW__THM])). 164.03/24.39 tff(mem_c_2Equotient_2E_2D_2D_3E, axiom, 164.03/24.39 (![A_27a:del,A_27b:del,A_27c:del,A_27d:del]: 164.03/24.39 mem(c_2Equotient_2E_2D_2D_3E(A_27a,A_27b,A_27c,A_27d), 164.03/24.39 arr(arr(A_27a,A_27c), 164.03/24.39 arr(arr(A_27b,A_27d),arr(arr(A_27c,A_27b),arr(A_27a,A_27d))))))). 164.03/24.39 tff('27', plain, 164.03/24.39 ![X46 : del, X47 : del, X48 : del, X49 : del]: 164.03/24.39 mem(c_2Equotient_2E_2D_2D_3E(X46, X47, X48, X49), 164.03/24.39 arr(arr(X46, X48), 164.03/24.39 arr(arr(X47, X49), arr(arr(X48, X47), arr(X46, X49))))), 164.03/24.39 inference('cnf', [status(esa)], [mem_c_2Equotient_2E_2D_2D_3E])). 164.03/24.39 tff(mem_c_2Equotient_2E_3D_3D_3D_3E, axiom, 164.03/24.39 (![A_27a:del,A_27b:del]: 164.03/24.39 mem(c_2Equotient_2E_3D_3D_3D_3E(A_27a,A_27b), 164.03/24.39 arr(arr(A_27a,arr(A_27a,bool)), 164.03/24.39 arr(arr(A_27b,arr(A_27b,bool)), 164.03/24.39 arr(arr(A_27a,A_27b),arr(arr(A_27a,A_27b),bool))))))). 164.03/24.39 tff('28', plain, 164.03/24.39 ![X8 : del, X9 : del]: 164.03/24.39 mem(c_2Equotient_2E_3D_3D_3D_3E(X8, X9), 164.03/24.39 arr(arr(X8, arr(X8, bool)), 164.03/24.39 arr(arr(X9, arr(X9, bool)), 164.03/24.39 arr(arr(X8, X9), arr(arr(X8, X9), bool))))), 164.03/24.39 inference('cnf', [status(esa)], [mem_c_2Equotient_2E_3D_3D_3D_3E])). 164.03/24.39 tff(ap_tp, axiom, 164.03/24.39 (![A:del,B:del,F]: 164.03/24.39 (mem(F,arr(A,B)) => (![X]: (mem(X,A) => mem(ap(F,X),B)))))). 164.03/24.39 tff('29', plain, 164.03/24.39 ![X0, X1 : del, X2, X3 : del]: 164.03/24.39 (~ mem(X0, X1) | mem(ap(X2, X0), X3) | ~ mem(X2, arr(X1, X3))), 164.03/24.39 inference('cnf', [status(esa)], [ap_tp])). 164.03/24.39 tff('30', plain, $false, 164.03/24.39 inference('eprover', [status(thm)], 164.03/24.39 ['0', '3', '4', '5', '6', '10', '11', '12', '13', '14', '15', 164.03/24.39 '16', '17', '18', '19', '22', '23', '24', '25', '26', '27', 164.03/24.39 '28', '29'])). 164.03/24.39 164.03/24.39 % SZS output end Refutation 164.03/24.39 164.03/24.39 164.03/24.39 % Terminating... 164.03/24.47 % Runner terminated. 164.03/24.49 % Zipperpin 1.5 exiting 164.03/24.49 EOF