0.04/0.13 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.13/0.14 % Command : run_portfolio.sh /export/starexec/sandbox/benchmark/theBenchmark.p /export/starexec/sandbox/tmp/tmp.6DFBYAfwmJ 0.14/0.35 % Computer : n017.cluster.edu 0.14/0.35 % Model : x86_64 x86_64 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.14/0.35 % Memory : 8042.1875MB 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64 0.14/0.35 % CPULimit : 180 0.14/0.35 % DateTime : Thu Aug 29 10:15:49 EDT 2019 0.21/0.36 % CPUTime : 126.76/127.27 % Running portfolio for 180 s 126.76/127.27 % File : /export/starexec/sandbox/benchmark/theBenchmark.p 126.76/127.27 % TempDir : /export/starexec/sandbox/tmp/tmp.6DFBYAfwmJ 126.76/127.27 % Recognized as monomorphic HO. 126.76/127.27 % Running /export/starexec/sandbox/solver/bin/competitive.sh for 18 126.76/127.27 % Running /export/starexec/sandbox/solver/bin/competitive.2.sh for 13 126.76/127.27 % Running /export/starexec/sandbox/solver/bin/competitive.3.sh for 3 126.76/127.27 % Running /export/starexec/sandbox/solver/bin/pragmatic.rudimentary.sh for 28 126.76/127.27 % Running /export/starexec/sandbox/solver/bin/pragmatic.rudimentary.1.sh for 12 126.76/127.27 % Running /export/starexec/sandbox/solver/bin/pragmatic.rudimentary.2.sh for 7 126.76/127.27 % Running /export/starexec/sandbox/solver/bin/pragmatic.shallow.sh for 3 126.76/127.27 % Running /export/starexec/sandbox/solver/bin/pragmatic.shallow.1.sh for 15 126.76/127.27 % Running /export/starexec/sandbox/solver/bin/pragmatic.shallow.2.sh for 13 126.76/127.27 % Running /export/starexec/sandbox/solver/bin/pragmatic.ll.e.sh for 17 126.76/127.27 % Solved by: pragmatic.ll.e.sh 126.76/127.27 % Running : timeout 16 /export/starexec/sandbox/solver/bin/eprover-ho /export/starexec/sandbox/tmp/tmp.6DFBYAfwmJ/e_input063fb5 --cpu-limit=14 --auto-schedule -s -p. 126.76/127.27 % done 502 iterations in 15.526s 126.76/127.27 % hashcons stats for terms: size 4096, num 9097, sum length 16341, buckets: small 0, median 3, big 13 126.76/127.27 % proof state stats: {active 146, passive 10415, simpl 0} 126.76/127.27 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p' 126.76/127.27 % SZS output start Refutation 126.76/127.27 tff(cGROUP4_def, axiom, cGROUP4() = 126.76/127.27 ^[Xf:((g * g) > g)]: (cGRP_DIVISORS(Xf) & cGRP_ASSOC(Xf))). 126.76/127.27 tff('0', plain, 126.76/127.27 cGROUP4 = (^[V_1:((g * g) > g)]: (cGRP_DIVISORS(V_1) & cGRP_ASSOC(V_1))), 126.76/127.27 define([status(thm)])). 126.76/127.27 tff(cGROUP3_def, axiom, cGROUP3() = 126.76/127.27 ^[Xf:((g * g) > g),Xe:g]: 126.76/127.27 (cGRP_RIGHT_INVERSE(Xf,Xe) & cGRP_RIGHT_UNIT(Xf,Xe) & cGRP_ASSOC(Xf))). 126.76/127.27 tff('1', plain, 126.76/127.27 cGROUP3 = 126.76/127.27 (^[V_1:((g * g) > g),V_2:g]: 126.76/127.27 (cGRP_RIGHT_INVERSE(V_1,V_2) & cGRP_RIGHT_UNIT(V_1,V_2) & 126.76/127.27 cGRP_ASSOC(V_1))), 126.76/127.27 define([status(thm)])). 126.76/127.27 tff(cGRP_RIGHT_UNIT_def, axiom, cGRP_RIGHT_UNIT() = 126.76/127.27 ^[Xf:((g * g) > g),Xe:g]: (![Xa:g]: (Xf(Xa,Xe) = Xa))). 126.76/127.27 tff('2', plain, 126.76/127.27 cGRP_RIGHT_UNIT = 126.76/127.27 (^[V_1:((g * g) > g),V_2:g]: (![X2:g]: (V_1(X2,V_2) = X2))), 126.76/127.27 define([status(thm)])). 126.76/127.27 tff(cGRP_RIGHT_INVERSE_def, axiom, cGRP_RIGHT_INVERSE() = 126.76/127.27 ^[Xf:((g * g) > g),Xe:g]: (![Xa:g]: (?[Xb:g]: (Xf(Xa,Xb) = Xe)))). 126.76/127.27 tff('3', plain, 126.76/127.27 cGRP_RIGHT_INVERSE = 126.76/127.27 (^[V_1:((g * g) > g),V_2:g]: (![X2:g]: (?[X3:g]: (V_1(X2,X3) = V_2)))), 126.76/127.27 define([status(thm)])). 126.76/127.27 tff(cGRP_DIVISORS_def, axiom, cGRP_DIVISORS() = 126.76/127.27 ^[Xf:((g * g) > g)]: 126.76/127.27 (![Xa:g,Xb:g]: 126.76/127.27 ((?[Xy:g]: (Xf(Xy,Xa) = Xb)) & (?[Xx:g]: (Xf(Xa,Xx) = Xb))))). 126.76/127.27 tff('4', plain, 126.76/127.27 cGRP_DIVISORS = 126.76/127.27 (^[V_1:((g * g) > g)]: 126.76/127.27 (![X2:g,X3:g]: 126.76/127.27 ((?[X4:g]: (V_1(X4,X2) = X3)) & (?[X5:g]: (V_1(X2,X5) = X3))))), 126.76/127.27 define([status(thm)])). 126.76/127.27 tff(cGRP_ASSOC_def, axiom, cGRP_ASSOC() = 126.76/127.27 ^[Xf:((g * g) > g)]: 126.76/127.27 (![Xa:g,Xb:g,Xc:g]: (Xf(Xf(Xa,Xb),Xc) = Xf(Xa,Xf(Xb,Xc))))). 126.76/127.27 tff('5', plain, 126.76/127.27 cGRP_ASSOC = 126.76/127.27 (^[V_1:((g * g) > g)]: 126.76/127.27 (![X2:g,X3:g,X4:g]: (V_1(V_1(X2,X3),X4) = V_1(X2,V_1(X3,X4))))), 126.76/127.27 define([status(thm)])). 126.76/127.27 tff(cEQUIV_03_04, conjecture, 126.76/127.27 (![Xf:((g * g) > g)]: ((?[Xe:g]: cGROUP3(Xf,Xe)) <=> cGROUP4(Xf)))). 126.76/127.27 tff(zf_stmt_0, conjecture, 126.76/127.27 (![X2:((g * g) > g)]: 126.76/127.27 ((?[X3:g]: 126.76/127.27 ((![X4:g]: (?[X5:g]: (X2(X4,X5) = X3))) & 126.76/127.27 (![X6:g]: (X2(X6,X3) = X6)) & 126.76/127.27 (![X7:g,X8:g,X9:g]: (X2(X2(X7,X8),X9) = X2(X7,X2(X8,X9)))))) <=> 126.76/127.27 ((![X10:g,X11:g]: 126.76/127.27 ((?[X12:g]: (X2(X12,X10) = X11)) & (?[X13:g]: (X2(X10,X13) = X11)))) & 126.76/127.27 (![X14:g,X15:g,X16:g]: (X2(X2(X14,X15),X16) = X2(X14,X2(X15,X16)))))))). 126.76/127.27 tff(zf_stmt_1, negated_conjecture, 126.76/127.27 (~ 126.76/127.27 (![X2:((g * g) > g)]: 126.76/127.27 ((?[X3:g]: 126.76/127.27 ((![X4:g]: (?[X5:g]: (X2(X4,X5) = X3))) & 126.76/127.27 (![X6:g]: (X2(X6,X3) = X6)) & 126.76/127.27 (![X7:g,X8:g,X9:g]: (X2(X2(X7,X8),X9) = X2(X7,X2(X8,X9)))))) <=> 126.76/127.27 ((![X10:g,X11:g]: 126.76/127.27 ((?[X12:g]: (X2(X12,X10) = X11)) & 126.76/127.27 (?[X13:g]: (X2(X10,X13) = X11)))) & 126.76/127.27 (![X14:g,X15:g,X16:g]: (X2(X2(X14,X15),X16) = X2(X14,X2(X15,X16))))))))). 126.76/127.28 tff('6', plain, 126.76/127.28 ![X31 : g, X32 : g, X33 : g, X34 : g]: 126.76/127.28 (sk_X2_(sk_X2_(sk_X14_, sk_X15_), sk_X16_) 126.76/127.28 != sk_X2_(sk_X14_, sk_X2_(sk_X15_, sk_X16_)) 126.76/127.28 | sk_X2_(sk_X10_, X31) != sk_X11_ 126.76/127.28 | sk_X2_(X32, sk_X10_) != sk_X11_ 126.76/127.28 | sk_X2_(sk_X6_(X33), X33) != sk_X6_(X33) 126.76/127.28 | sk_X2_(sk_X4_(X33), X34) != X33 126.76/127.28 | sk_X2_(sk_X2_(sk_X7_, sk_X8_), sk_X9_) 126.76/127.28 != sk_X2_(sk_X7_, sk_X2_(sk_X8_, sk_X9_))), 126.76/127.28 inference('cnf', [status(esa)], [zf_stmt_1])). 126.76/127.28 tff('7', plain, 126.76/127.28 ![X20 : g, X21 : g, X25 : g]: 126.76/127.28 (sk_X2_(X21, sk_X13_(X20, X21)) = X20 | sk_X2_(X25, sk_X3_) = X25), 126.76/127.28 inference('cnf', [status(esa)], [zf_stmt_1])). 126.76/127.28 tff('8', plain, 126.76/127.28 ![X22 : g, X23 : g, X24 : g, X28 : g, X29 : g, X30 : g]: 126.76/127.28 (sk_X2_(sk_X2_(X28, X29), X30) = sk_X2_(X28, sk_X2_(X29, X30)) 126.76/127.28 | sk_X2_(sk_X2_(X22, X23), X24) = sk_X2_(X22, sk_X2_(X23, X24))), 126.76/127.28 inference('cnf', [status(esa)], [zf_stmt_1])). 126.76/127.28 tff('9', plain, 126.76/127.28 ![X0 : g, X1 : g, X2 : g]: 126.76/127.28 sk_X2_(sk_X2_(X2, X1), X0) = sk_X2_(X2, sk_X2_(X1, X0)), 126.76/127.28 inference('condensation', [status(thm)], ['8'])). 126.76/127.28 tff('10', plain, 126.76/127.28 ![X21 : g, X25 : g, X27 : g]: 126.76/127.28 (sk_X2_(sk_X12_(X27, X21), X21) = X27 | sk_X2_(X25, sk_X3_) = X25), 126.76/127.28 inference('cnf', [status(esa)], [zf_stmt_1])). 126.76/127.28 tff('11', plain, 126.76/127.28 ![X20 : g, X21 : g, X26 : g]: 126.76/127.28 (sk_X2_(X21, sk_X13_(X20, X21)) = X20 126.76/127.28 | sk_X2_(X26, sk_X5_(X26)) = sk_X3_), 126.76/127.28 inference('cnf', [status(esa)], [zf_stmt_1])). 126.76/127.28 tff('12', plain, 126.76/127.28 ![X21 : g, X26 : g, X27 : g]: 126.76/127.28 (sk_X2_(sk_X12_(X27, X21), X21) = X27 126.76/127.28 | sk_X2_(X26, sk_X5_(X26)) = sk_X3_), 126.76/127.28 inference('cnf', [status(esa)], [zf_stmt_1])). 126.76/127.28 tff('13', plain, $false, 126.76/127.28 inference('eprover', [status(thm)], ['6', '7', '9', '10', '11', '12'])). 126.76/127.28 126.76/127.28 % SZS output end Refutation 126.76/127.28 % Zipperpin 1.5 exiting 126.76/127.28 EOF