0.11/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.11/0.15 % Command : run_portfolio.sh /export/starexec/sandbox2/benchmark/theBenchmark.p /export/starexec/sandbox2/tmp/tmp.hlyPynNjiw 0.15/0.36 % Computer : n014.cluster.edu 0.15/0.36 % Model : x86_64 x86_64 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.15/0.36 % Memory : 8042.1875MB 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64 0.15/0.36 % CPULimit : 1200 0.15/0.36 % DateTime : Tue Jul 13 10:28:07 EDT 2021 0.15/0.36 % CPUTime : 0.15/0.36 % Running portfolio for 120 s 0.15/0.36 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p 0.15/0.36 % Number of cores: 8 0.15/0.36 % Python version: Python 3.6.8 0.15/0.36 % Running in HO mode 0.52/0.63 % Estimated wc time : 1286 0.52/0.63 % Estimated cpu time (7 cpus) : 183.71428571428572 0.52/0.67 % /export/starexec/sandbox2/solver/bin/lams/s6.sh running for 21s 0.53/0.71 % /export/starexec/sandbox2/solver/bin/lams/new_b3.2.norw.sh running for 15s 0.53/0.73 % /export/starexec/sandbox2/solver/bin/lams/b.rpo.sh running for 21s 0.53/0.73 % /export/starexec/sandbox2/solver/bin/lams/s6.ds.sh running for 10s 0.53/0.73 % /export/starexec/sandbox2/solver/bin/lams/c.s.2.sh running for 68s 0.53/0.73 % /export/starexec/sandbox2/solver/bin/lams/c.easy.sh running for 26s 0.53/0.73 % /export/starexec/sandbox2/solver/bin/lams/old_b3.avatar.sh running for 15s 22.44/3.79 % Solved by lams/c.easy.sh. 22.44/3.79 % Running : timeout 10 /export/starexec/sandbox2/solver/bin/lams/eprover-ho --pos-ext=all --neg-ext=all /export/starexec/sandbox2/tmp/tmp.hlyPynNjiw/e_input1cc9d5 --cpu-limit=8 --auto -s -p. 22.44/3.79 % done 2011 iterations in 3.031s 22.44/3.79 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p' 22.44/3.79 % SZS output start Refutation 22.44/3.79 tff(fact_1_f17, axiom, (member_a(t2,partia1066395285xt_a_b(r)))). 22.44/3.79 tff('0', plain, member_a(t2, partia1066395285xt_a_b(r)), 22.44/3.79 inference('cnf', [status(esa)], [fact_1_f17])). 22.44/3.79 tff(fact_0_f18, axiom, (member_a(t,partia1066395285xt_a_b(r)))). 22.44/3.79 tff('1', plain, member_a(t, partia1066395285xt_a_b(r)), 22.44/3.79 inference('cnf', [status(esa)], [fact_0_f18])). 22.44/3.79 tff(fact_62_semiring__simprules_I3_J, axiom, 22.44/3.79 (![X:a,Y:a]: 22.44/3.79 (member_a(X,partia1066395285xt_a_b(r)) => 22.44/3.79 (member_a(Y,partia1066395285xt_a_b(r)) => 22.44/3.79 member_a(mult_a_ring_ext_a_b(r,X,Y),partia1066395285xt_a_b(r)))))). 22.44/3.79 tff('2', plain, 22.44/3.79 ![X241 : a, X242 : a]: 22.44/3.79 (~ member_a(X241, partia1066395285xt_a_b(r)) 22.44/3.79 | member_a(mult_a_ring_ext_a_b(r, X241, X242), 22.44/3.79 partia1066395285xt_a_b(r)) 22.44/3.79 | ~ member_a(X242, partia1066395285xt_a_b(r))), 22.44/3.79 inference('cnf', [status(esa)], [fact_62_semiring__simprules_I3_J])). 22.44/3.79 tff(fact_12_f41, axiom, 22.44/3.79 (member_a(a_minus_a_b(r, 22.44/3.79 mult_a_ring_ext_a_b(r, 22.44/3.79 mult_a_ring_ext_a_b(r, 22.44/3.79 product_snd_a_a( 22.44/3.79 x), 22.44/3.79 product_snd_a_a( 22.44/3.79 y)), 22.44/3.79 mult_a_ring_ext_a_b(r,s3,r2)), 22.44/3.79 mult_a_ring_ext_a_b(r,mult_a_ring_ext_a_b(r,s2,s3), 22.44/3.79 mult_a_ring_ext_a_b(r, 22.44/3.79 product_snd_a_a( 22.44/3.79 y), 22.44/3.79 product_fst_a_a( 22.44/3.79 x)))), 22.44/3.79 partia1066395285xt_a_b(r)))). 22.44/3.79 tff('3', plain, 22.44/3.79 member_a( 22.44/3.79 a_minus_a_b(r, 22.44/3.79 mult_a_ring_ext_a_b(r, 22.44/3.79 mult_a_ring_ext_a_b(r, product_snd_a_a(x), product_snd_a_a(y)), 22.44/3.79 mult_a_ring_ext_a_b(r, s3, r2)), 22.44/3.79 mult_a_ring_ext_a_b(r, mult_a_ring_ext_a_b(r, s2, s3), 22.44/3.79 mult_a_ring_ext_a_b(r, product_snd_a_a(y), product_fst_a_a(x)))), 22.44/3.79 partia1066395285xt_a_b(r)), 22.44/3.79 inference('cnf', [status(esa)], [fact_12_f41])). 22.44/3.79 tff(fact_13_f42, axiom, 22.44/3.79 (member_a(a_minus_a_b(r, 22.44/3.79 mult_a_ring_ext_a_b(r, 22.44/3.79 mult_a_ring_ext_a_b(r, 22.44/3.79 product_snd_a_a( 22.44/3.79 x), 22.44/3.79 product_snd_a_a( 22.44/3.79 y)), 22.44/3.79 mult_a_ring_ext_a_b(r,s2,r3)), 22.44/3.79 mult_a_ring_ext_a_b(r,mult_a_ring_ext_a_b(r,s2,s3), 22.44/3.79 mult_a_ring_ext_a_b(r, 22.44/3.79 product_snd_a_a( 22.44/3.79 x), 22.44/3.79 product_fst_a_a( 22.44/3.79 y)))), 22.44/3.79 partia1066395285xt_a_b(r)))). 22.44/3.79 tff('4', plain, 22.44/3.79 member_a( 22.44/3.79 a_minus_a_b(r, 22.44/3.79 mult_a_ring_ext_a_b(r, 22.44/3.79 mult_a_ring_ext_a_b(r, product_snd_a_a(x), product_snd_a_a(y)), 22.44/3.79 mult_a_ring_ext_a_b(r, s2, r3)), 22.44/3.79 mult_a_ring_ext_a_b(r, mult_a_ring_ext_a_b(r, s2, s3), 22.44/3.79 mult_a_ring_ext_a_b(r, product_snd_a_a(x), product_fst_a_a(y)))), 22.44/3.79 partia1066395285xt_a_b(r)), 22.44/3.79 inference('cnf', [status(esa)], [fact_13_f42])). 22.44/3.79 tff(conj_0, conjecture, 22.44/3.79 (add_a_b(r, 22.44/3.79 mult_a_ring_ext_a_b(r, 22.44/3.79 mult_a_ring_ext_a_b(r, 22.44/3.79 mult_a_ring_ext_a_b( 22.44/3.79 r,t,s3),product_snd_a_a(y)), 22.44/3.79 mult_a_ring_ext_a_b(r,t2, 22.44/3.79 a_minus_a_b(r, 22.44/3.79 mult_a_ring_ext_a_b( 22.44/3.79 r, 22.44/3.79 product_snd_a_a( 22.44/3.79 x),r2), 22.44/3.79 mult_a_ring_ext_a_b( 22.44/3.79 r,s2, 22.44/3.79 product_fst_a_a( 22.44/3.79 x))))), 22.44/3.79 mult_a_ring_ext_a_b(r, 22.44/3.79 mult_a_ring_ext_a_b(r, 22.44/3.79 mult_a_ring_ext_a_b( 22.44/3.79 r,t2,s2), 22.44/3.79 product_snd_a_a(x)), 22.44/3.79 mult_a_ring_ext_a_b(r,t, 22.44/3.79 a_minus_a_b(r, 22.44/3.79 mult_a_ring_ext_a_b( 22.44/3.79 r, 22.44/3.79 product_snd_a_a( 22.44/3.79 y),r3), 22.44/3.79 mult_a_ring_ext_a_b( 22.44/3.79 r,s3, 22.44/3.79 product_fst_a_a( 22.44/3.79 y)))))) = 22.44/3.79 mult_a_ring_ext_a_b(r,mult_a_ring_ext_a_b(r,t2,t), 22.44/3.79 add_a_b(r, 22.44/3.79 a_minus_a_b(r, 22.44/3.79 mult_a_ring_ext_a_b(r, 22.44/3.79 mult_a_ring_ext_a_b( 22.44/3.79 r, 22.44/3.79 product_snd_a_a( 22.44/3.79 x), 22.44/3.79 product_snd_a_a( 22.44/3.79 y)), 22.44/3.79 mult_a_ring_ext_a_b( 22.44/3.79 r,s3,r2)), 22.44/3.79 mult_a_ring_ext_a_b(r, 22.44/3.79 mult_a_ring_ext_a_b( 22.44/3.79 r,s2,s3), 22.44/3.79 mult_a_ring_ext_a_b( 22.44/3.79 r, 22.44/3.79 product_snd_a_a( 22.44/3.79 y), 22.44/3.79 product_fst_a_a( 22.44/3.79 x)))), 22.44/3.79 a_minus_a_b(r, 22.44/3.79 mult_a_ring_ext_a_b(r, 22.44/3.79 mult_a_ring_ext_a_b( 22.44/3.79 r, 22.44/3.79 product_snd_a_a( 22.44/3.79 x), 22.44/3.79 product_snd_a_a( 22.44/3.79 y)), 22.44/3.79 mult_a_ring_ext_a_b( 22.44/3.79 r,s2,r3)), 22.44/3.79 mult_a_ring_ext_a_b(r, 22.44/3.79 mult_a_ring_ext_a_b( 22.44/3.79 r,s2,s3), 22.44/3.79 mult_a_ring_ext_a_b( 22.44/3.79 r, 22.44/3.79 product_snd_a_a( 22.44/3.79 x), 22.44/3.79 product_fst_a_a( 22.44/3.79 y)))))))). 22.44/3.79 tff(zf_stmt_0, negated_conjecture, 22.44/3.79 (add_a_b(r, 22.44/3.79 mult_a_ring_ext_a_b(r, 22.44/3.79 mult_a_ring_ext_a_b(r, 22.44/3.79 mult_a_ring_ext_a_b( 22.44/3.79 r,t,s3),product_snd_a_a(y)), 22.44/3.79 mult_a_ring_ext_a_b(r,t2, 22.44/3.79 a_minus_a_b(r, 22.44/3.79 mult_a_ring_ext_a_b( 22.44/3.79 r, 22.44/3.79 product_snd_a_a( 22.44/3.79 x),r2), 22.44/3.79 mult_a_ring_ext_a_b( 22.44/3.79 r,s2, 22.44/3.79 product_fst_a_a( 22.44/3.79 x))))), 22.44/3.79 mult_a_ring_ext_a_b(r, 22.44/3.79 mult_a_ring_ext_a_b(r, 22.44/3.79 mult_a_ring_ext_a_b( 22.44/3.79 r,t2,s2), 22.44/3.79 product_snd_a_a(x)), 22.44/3.79 mult_a_ring_ext_a_b(r,t, 22.44/3.79 a_minus_a_b(r, 22.44/3.79 mult_a_ring_ext_a_b( 22.44/3.79 r, 22.44/3.79 product_snd_a_a( 22.44/3.79 y),r3), 22.44/3.79 mult_a_ring_ext_a_b( 22.44/3.79 r,s3, 22.44/3.79 product_fst_a_a( 22.44/3.79 y)))))) != 22.44/3.79 mult_a_ring_ext_a_b(r,mult_a_ring_ext_a_b(r,t2,t), 22.44/3.79 add_a_b(r, 22.44/3.79 a_minus_a_b(r, 22.44/3.79 mult_a_ring_ext_a_b(r, 22.44/3.79 mult_a_ring_ext_a_b( 22.44/3.79 r, 22.44/3.79 product_snd_a_a( 22.44/3.79 x), 22.44/3.79 product_snd_a_a( 22.44/3.79 y)), 22.44/3.79 mult_a_ring_ext_a_b( 22.44/3.79 r,s3,r2)), 22.44/3.79 mult_a_ring_ext_a_b(r, 22.44/3.79 mult_a_ring_ext_a_b( 22.44/3.79 r,s2,s3), 22.44/3.79 mult_a_ring_ext_a_b( 22.44/3.79 r, 22.44/3.79 product_snd_a_a( 22.44/3.79 y), 22.44/3.79 product_fst_a_a( 22.44/3.79 x)))), 22.44/3.79 a_minus_a_b(r, 22.44/3.79 mult_a_ring_ext_a_b(r, 22.44/3.79 mult_a_ring_ext_a_b( 22.44/3.79 r, 22.44/3.79 product_snd_a_a( 22.44/3.79 x), 22.44/3.79 product_snd_a_a( 22.44/3.79 y)), 22.44/3.79 mult_a_ring_ext_a_b( 22.44/3.79 r,s2,r3)), 22.44/3.79 mult_a_ring_ext_a_b(r, 22.44/3.79 mult_a_ring_ext_a_b( 22.44/3.79 r,s2,s3), 22.44/3.79 mult_a_ring_ext_a_b( 22.44/3.79 r, 22.44/3.79 product_snd_a_a( 22.44/3.79 x), 22.44/3.79 product_fst_a_a( 22.44/3.79 y)))))))). 22.44/3.79 tff('5', plain, 22.44/3.79 add_a_b(r, 22.44/3.79 mult_a_ring_ext_a_b(r, 22.44/3.79 mult_a_ring_ext_a_b(r, mult_a_ring_ext_a_b(r, t, s3), 22.44/3.79 product_snd_a_a(y)), 22.44/3.79 mult_a_ring_ext_a_b(r, t2, 22.44/3.79 a_minus_a_b(r, mult_a_ring_ext_a_b(r, product_snd_a_a(x), r2), 22.44/3.79 mult_a_ring_ext_a_b(r, s2, product_fst_a_a(x))))), 22.44/3.79 mult_a_ring_ext_a_b(r, 22.44/3.79 mult_a_ring_ext_a_b(r, mult_a_ring_ext_a_b(r, t2, s2), 22.44/3.79 product_snd_a_a(x)), 22.44/3.79 mult_a_ring_ext_a_b(r, t, 22.44/3.79 a_minus_a_b(r, mult_a_ring_ext_a_b(r, product_snd_a_a(y), r3), 22.44/3.79 mult_a_ring_ext_a_b(r, s3, product_fst_a_a(y)))))) 22.44/3.79 != mult_a_ring_ext_a_b(r, mult_a_ring_ext_a_b(r, t2, t), 22.44/3.79 add_a_b(r, 22.44/3.79 a_minus_a_b(r, 22.44/3.79 mult_a_ring_ext_a_b(r, 22.44/3.79 mult_a_ring_ext_a_b(r, product_snd_a_a(x), 22.44/3.79 product_snd_a_a(y)), mult_a_ring_ext_a_b(r, s3, r2)), 22.44/3.79 mult_a_ring_ext_a_b(r, mult_a_ring_ext_a_b(r, s2, s3), 22.44/3.79 mult_a_ring_ext_a_b(r, product_snd_a_a(y), 22.44/3.79 product_fst_a_a(x)))), 22.44/3.79 a_minus_a_b(r, 22.44/3.79 mult_a_ring_ext_a_b(r, 22.44/3.79 mult_a_ring_ext_a_b(r, product_snd_a_a(x), 22.44/3.79 product_snd_a_a(y)), mult_a_ring_ext_a_b(r, s2, r3)), 22.44/3.79 mult_a_ring_ext_a_b(r, mult_a_ring_ext_a_b(r, s2, s3), 22.44/3.79 mult_a_ring_ext_a_b(r, product_snd_a_a(x), 22.44/3.79 product_fst_a_a(y)))))), 22.44/3.79 inference('cnf', [status(esa)], [zf_stmt_0])). 22.44/3.79 tff(fact_49_f33, axiom, 22.44/3.79 (a_minus_a_b(r, 22.44/3.79 mult_a_ring_ext_a_b(r,mult_a_ring_ext_a_b(r,t2,t), 22.44/3.79 mult_a_ring_ext_a_b(r, 22.44/3.79 mult_a_ring_ext_a_b( 22.44/3.79 r,product_snd_a_a(x), 22.44/3.79 product_snd_a_a(y)), 22.44/3.79 mult_a_ring_ext_a_b( 22.44/3.79 r,s2,r3))), 22.44/3.79 mult_a_ring_ext_a_b(r,mult_a_ring_ext_a_b(r,t2,t), 22.44/3.79 mult_a_ring_ext_a_b(r, 22.44/3.79 mult_a_ring_ext_a_b( 22.44/3.79 r,s2,s3), 22.44/3.79 mult_a_ring_ext_a_b( 22.44/3.79 r,product_snd_a_a(x), 22.44/3.79 product_fst_a_a(y))))) = 22.44/3.79 mult_a_ring_ext_a_b(r,mult_a_ring_ext_a_b(r,t2,t), 22.44/3.79 a_minus_a_b(r, 22.44/3.79 mult_a_ring_ext_a_b(r, 22.44/3.79 mult_a_ring_ext_a_b( 22.44/3.79 r,product_snd_a_a(x), 22.44/3.79 product_snd_a_a(y)), 22.44/3.79 mult_a_ring_ext_a_b( 22.44/3.79 r,s2,r3)), 22.44/3.79 mult_a_ring_ext_a_b(r, 22.44/3.79 mult_a_ring_ext_a_b( 22.44/3.79 r,s2,s3), 22.44/3.79 mult_a_ring_ext_a_b( 22.44/3.79 r,product_snd_a_a(x), 22.44/3.79 product_fst_a_a(y))))))). 22.44/3.79 tff('6', plain, 22.44/3.79 a_minus_a_b(r, 22.44/3.79 mult_a_ring_ext_a_b(r, mult_a_ring_ext_a_b(r, t2, t), 22.44/3.79 mult_a_ring_ext_a_b(r, 22.44/3.79 mult_a_ring_ext_a_b(r, product_snd_a_a(x), product_snd_a_a(y)), 22.44/3.79 mult_a_ring_ext_a_b(r, s2, r3))), 22.44/3.79 mult_a_ring_ext_a_b(r, mult_a_ring_ext_a_b(r, t2, t), 22.44/3.79 mult_a_ring_ext_a_b(r, mult_a_ring_ext_a_b(r, s2, s3), 22.44/3.79 mult_a_ring_ext_a_b(r, product_snd_a_a(x), product_fst_a_a(y))))) 22.44/3.79 = mult_a_ring_ext_a_b(r, mult_a_ring_ext_a_b(r, t2, t), 22.44/3.79 a_minus_a_b(r, 22.44/3.79 mult_a_ring_ext_a_b(r, 22.44/3.79 mult_a_ring_ext_a_b(r, product_snd_a_a(x), product_snd_a_a(y)), 22.44/3.79 mult_a_ring_ext_a_b(r, s2, r3)), 22.44/3.79 mult_a_ring_ext_a_b(r, mult_a_ring_ext_a_b(r, s2, s3), 22.44/3.79 mult_a_ring_ext_a_b(r, product_snd_a_a(x), product_fst_a_a(y))))), 22.44/3.79 inference('cnf', [status(esa)], [fact_49_f33])). 22.44/3.79 tff(fact_42_f32, axiom, 22.44/3.79 (a_minus_a_b(r, 22.44/3.79 mult_a_ring_ext_a_b(r,mult_a_ring_ext_a_b(r,t2,t), 22.44/3.79 mult_a_ring_ext_a_b(r, 22.44/3.79 mult_a_ring_ext_a_b( 22.44/3.79 r,product_snd_a_a(x), 22.44/3.79 product_snd_a_a(y)), 22.44/3.79 mult_a_ring_ext_a_b( 22.44/3.79 r,s3,r2))), 22.44/3.79 mult_a_ring_ext_a_b(r,mult_a_ring_ext_a_b(r,t2,t), 22.44/3.79 mult_a_ring_ext_a_b(r, 22.44/3.79 mult_a_ring_ext_a_b( 22.44/3.79 r,s2,s3), 22.44/3.79 mult_a_ring_ext_a_b( 22.44/3.79 r,product_snd_a_a(y), 22.44/3.79 product_fst_a_a(x))))) = 22.44/3.79 mult_a_ring_ext_a_b(r,mult_a_ring_ext_a_b(r,t2,t), 22.44/3.79 a_minus_a_b(r, 22.44/3.79 mult_a_ring_ext_a_b(r, 22.44/3.79 mult_a_ring_ext_a_b( 22.44/3.79 r,product_snd_a_a(x), 22.44/3.79 product_snd_a_a(y)), 22.44/3.79 mult_a_ring_ext_a_b( 22.44/3.79 r,s3,r2)), 22.44/3.79 mult_a_ring_ext_a_b(r, 22.44/3.79 mult_a_ring_ext_a_b( 22.44/3.79 r,s2,s3), 22.44/3.79 mult_a_ring_ext_a_b( 22.44/3.79 r,product_snd_a_a(y), 22.44/3.79 product_fst_a_a(x))))))). 22.44/3.79 tff('7', plain, 22.44/3.79 a_minus_a_b(r, 22.44/3.79 mult_a_ring_ext_a_b(r, mult_a_ring_ext_a_b(r, t2, t), 22.44/3.79 mult_a_ring_ext_a_b(r, 22.44/3.79 mult_a_ring_ext_a_b(r, product_snd_a_a(x), product_snd_a_a(y)), 22.44/3.79 mult_a_ring_ext_a_b(r, s3, r2))), 22.44/3.79 mult_a_ring_ext_a_b(r, mult_a_ring_ext_a_b(r, t2, t), 22.44/3.79 mult_a_ring_ext_a_b(r, mult_a_ring_ext_a_b(r, s2, s3), 22.44/3.79 mult_a_ring_ext_a_b(r, product_snd_a_a(y), product_fst_a_a(x))))) 22.44/3.79 = mult_a_ring_ext_a_b(r, mult_a_ring_ext_a_b(r, t2, t), 22.44/3.79 a_minus_a_b(r, 22.44/3.79 mult_a_ring_ext_a_b(r, 22.44/3.79 mult_a_ring_ext_a_b(r, product_snd_a_a(x), product_snd_a_a(y)), 22.44/3.79 mult_a_ring_ext_a_b(r, s3, r2)), 22.44/3.79 mult_a_ring_ext_a_b(r, mult_a_ring_ext_a_b(r, s2, s3), 22.44/3.79 mult_a_ring_ext_a_b(r, product_snd_a_a(y), product_fst_a_a(x))))), 22.44/3.79 inference('cnf', [status(esa)], [fact_42_f32])). 22.44/3.79 tff(fact_21__092_060open_062_092_060lbrakk_062snd_Ax_H_A_092_060otimes_062_Asnd_Ay_H_A_092_060otimes_062_A_Is_H_A_092_060otimes_062_Ar_J_A_092_060ominus_062_As_A_092_060otimes_062_As_H_A_092_060otimes_062_A_Isnd_Ay_H_A_092_060otimes_062_Afst_Ax_H_J_A_092_060in_062_Acarrier_AR_059_Asnd_Ax_H_A_092_060otimes_062_Asnd_Ay_H_A_092_060otimes_062_A_Is_A_092_060otimes_062_Ar_H_J_A_092_060ominus_062_As_A_092_060otimes_062_As_H_A_092_060otimes_062_A_Isnd_Ax_H_A_092_060otimes_062_Afst_Ay_H_J_A_092_060in_062_Acarrier_AR_059_At_A_092_060otimes_062_At_H_A_092_060in_062_Acarrier_AR_092_060rbrakk_062_A_092_060Longrightarrow_062_At_A_092_060otimes_062_At_H_A_092_060otimes_062_A_Isnd_Ax_H_A_092_060otimes_062_Asnd_Ay_H_A_092_060otimes_062_A_Is_H_A_092_060otimes_062_Ar_J_A_092_060ominus_062_As_A_092_060otimes_062_As_H_A_092_060otimes_062_A_Isnd_Ay_H_A_092_060otimes_062_Afst_Ax_H_J_A_092_060oplus_062_A_Isnd_Ax_H_A_092_060otimes_062_Asnd_Ay_H_A_092_060otimes_062_A_Is_A_092_060otimes_062_Ar_H_J_A_092_060ominus_062_As_A_092_060otimes_062_As_H_A_092_060otimes_062_A_Isnd_Ax_H_A_092_060otimes_062_Afst_Ay_H_J_J_J_A_061_At_A_092_060otimes_062_At_H_A_092_060otimes_062_A_Isnd_Ax_H_A_092_060otimes_062_Asnd_Ay_H_A_092_060otimes_062_A_Is_H_A_092_060otimes_062_Ar_J_A_092_060ominus_062_As_A_092_060otimes_062_As_H_A_092_060otimes_062_A_Isnd_Ay_H_A_092_060otimes_062_Afst_Ax_H_J_J_A_092_060oplus_062_At_A_092_060otimes_062_At_H_A_092_060otimes_062_A_Isnd_Ax_H_A_092_060otimes_062_Asnd_Ay_H_A_092_060otimes_062_A_Is_A_092_060otimes_062_Ar_H_J_A_092_060ominus_062_As_A_092_060otimes_062_As_H_A_092_060otimes_062_A_Isnd_Ax_H_A_092_060otimes_062_Afst_Ay_H_J_J_092_060close_062, axiom, 22.44/3.79 (member_a(a_minus_a_b(r, 22.44/3.79 mult_a_ring_ext_a_b(r, 22.44/3.79 mult_a_ring_ext_a_b(r, 22.44/3.79 product_snd_a_a( 22.44/3.79 x), 22.44/3.79 product_snd_a_a( 22.44/3.79 y)), 22.44/3.79 mult_a_ring_ext_a_b(r,s3,r2)), 22.44/3.79 mult_a_ring_ext_a_b(r,mult_a_ring_ext_a_b(r,s2,s3), 22.44/3.79 mult_a_ring_ext_a_b(r, 22.44/3.79 product_snd_a_a( 22.44/3.79 y), 22.44/3.79 product_fst_a_a( 22.44/3.79 x)))), 22.44/3.79 partia1066395285xt_a_b(r)) => 22.44/3.79 (member_a(a_minus_a_b(r, 22.44/3.79 mult_a_ring_ext_a_b(r, 22.44/3.79 mult_a_ring_ext_a_b(r, 22.44/3.79 product_snd_a_a( 22.44/3.79 x), 22.44/3.79 product_snd_a_a( 22.44/3.79 y)), 22.44/3.79 mult_a_ring_ext_a_b(r,s2,r3)), 22.44/3.79 mult_a_ring_ext_a_b(r,mult_a_ring_ext_a_b(r,s2,s3), 22.44/3.79 mult_a_ring_ext_a_b(r, 22.44/3.79 product_snd_a_a( 22.44/3.79 x), 22.44/3.79 product_fst_a_a( 22.44/3.79 y)))), 22.44/3.79 partia1066395285xt_a_b(r)) => 22.44/3.79 (member_a(mult_a_ring_ext_a_b(r,t2,t),partia1066395285xt_a_b(r)) => 22.44/3.79 (mult_a_ring_ext_a_b(r,mult_a_ring_ext_a_b(r,t2,t), 22.44/3.79 add_a_b(r, 22.44/3.79 a_minus_a_b(r, 22.44/3.79 mult_a_ring_ext_a_b(r, 22.44/3.79 mult_a_ring_ext_a_b( 22.44/3.79 r, 22.44/3.79 product_snd_a_a( 22.44/3.79 x), 22.44/3.79 product_snd_a_a( 22.44/3.79 y)), 22.44/3.79 mult_a_ring_ext_a_b( 22.44/3.79 r,s3,r2)), 22.44/3.79 mult_a_ring_ext_a_b(r, 22.44/3.79 mult_a_ring_ext_a_b( 22.44/3.79 r,s2,s3), 22.44/3.79 mult_a_ring_ext_a_b( 22.44/3.79 r, 22.44/3.79 product_snd_a_a( 22.44/3.79 y), 22.44/3.79 product_fst_a_a( 22.44/3.79 x)))), 22.44/3.79 a_minus_a_b(r, 22.44/3.79 mult_a_ring_ext_a_b(r, 22.44/3.79 mult_a_ring_ext_a_b( 22.44/3.79 r, 22.44/3.79 product_snd_a_a( 22.44/3.79 x), 22.44/3.79 product_snd_a_a( 22.44/3.79 y)), 22.44/3.79 mult_a_ring_ext_a_b( 22.44/3.79 r,s2,r3)), 22.44/3.79 mult_a_ring_ext_a_b(r, 22.44/3.79 mult_a_ring_ext_a_b( 22.44/3.79 r,s2,s3), 22.44/3.79 mult_a_ring_ext_a_b( 22.44/3.79 r, 22.44/3.79 product_snd_a_a( 22.44/3.79 x), 22.44/3.79 product_fst_a_a( 22.44/3.79 y)))))) = 22.44/3.79 add_a_b(r, 22.44/3.79 mult_a_ring_ext_a_b(r,mult_a_ring_ext_a_b(r,t2,t), 22.44/3.79 a_minus_a_b(r, 22.44/3.79 mult_a_ring_ext_a_b(r, 22.44/3.79 mult_a_ring_ext_a_b( 22.44/3.79 r, 22.44/3.79 product_snd_a_a( 22.44/3.79 x), 22.44/3.79 product_snd_a_a( 22.44/3.79 y)), 22.44/3.79 mult_a_ring_ext_a_b( 22.44/3.79 r,s3,r2)), 22.44/3.79 mult_a_ring_ext_a_b(r, 22.44/3.79 mult_a_ring_ext_a_b( 22.44/3.79 r,s2,s3), 22.44/3.79 mult_a_ring_ext_a_b( 22.44/3.79 r, 22.44/3.79 product_snd_a_a( 22.44/3.79 y), 22.44/3.79 product_fst_a_a( 22.44/3.79 x))))), 22.44/3.79 mult_a_ring_ext_a_b(r,mult_a_ring_ext_a_b(r,t2,t), 22.44/3.79 a_minus_a_b(r, 22.44/3.79 mult_a_ring_ext_a_b(r, 22.44/3.79 mult_a_ring_ext_a_b( 22.44/3.79 r, 22.44/3.79 product_snd_a_a( 22.44/3.79 x), 22.44/3.79 product_snd_a_a( 22.44/3.79 y)), 22.44/3.79 mult_a_ring_ext_a_b( 22.44/3.79 r,s2,r3)), 22.44/3.79 mult_a_ring_ext_a_b(r, 22.44/3.79 mult_a_ring_ext_a_b( 22.44/3.79 r,s2,s3), 22.44/3.79 mult_a_ring_ext_a_b( 22.44/3.79 r, 22.44/3.79 product_snd_a_a( 22.44/3.79 x), 22.44/3.79 product_fst_a_a( 22.44/3.79 y))))))))))). 22.44/3.79 tff('8', plain, 22.44/3.79 (~ member_a( 22.44/3.79 a_minus_a_b(r, 22.44/3.79 mult_a_ring_ext_a_b(r, 22.44/3.79 mult_a_ring_ext_a_b(r, product_snd_a_a(x), product_snd_a_a(y)), 22.44/3.79 mult_a_ring_ext_a_b(r, s2, r3)), 22.44/3.79 mult_a_ring_ext_a_b(r, mult_a_ring_ext_a_b(r, s2, s3), 22.44/3.79 mult_a_ring_ext_a_b(r, product_snd_a_a(x), product_fst_a_a(y)))), 22.44/3.79 partia1066395285xt_a_b(r)) 22.44/3.79 | mult_a_ring_ext_a_b(r, mult_a_ring_ext_a_b(r, t2, t), 22.44/3.79 add_a_b(r, 22.44/3.79 a_minus_a_b(r, 22.44/3.79 mult_a_ring_ext_a_b(r, 22.44/3.79 mult_a_ring_ext_a_b(r, product_snd_a_a(x), product_snd_a_a(y)), 22.44/3.79 mult_a_ring_ext_a_b(r, s3, r2)), 22.44/3.79 mult_a_ring_ext_a_b(r, mult_a_ring_ext_a_b(r, s2, s3), 22.44/3.79 mult_a_ring_ext_a_b(r, product_snd_a_a(y), product_fst_a_a(x)))), 22.44/3.79 a_minus_a_b(r, 22.44/3.79 mult_a_ring_ext_a_b(r, 22.44/3.79 mult_a_ring_ext_a_b(r, product_snd_a_a(x), product_snd_a_a(y)), 22.44/3.79 mult_a_ring_ext_a_b(r, s2, r3)), 22.44/3.79 mult_a_ring_ext_a_b(r, mult_a_ring_ext_a_b(r, s2, s3), 22.44/3.79 mult_a_ring_ext_a_b(r, product_snd_a_a(x), product_fst_a_a(y)))))) 22.44/3.79 = add_a_b(r, 22.44/3.79 mult_a_ring_ext_a_b(r, mult_a_ring_ext_a_b(r, t2, t), 22.44/3.79 a_minus_a_b(r, 22.44/3.79 mult_a_ring_ext_a_b(r, 22.44/3.79 mult_a_ring_ext_a_b(r, product_snd_a_a(x), 22.44/3.79 product_snd_a_a(y)), mult_a_ring_ext_a_b(r, s3, r2)), 22.44/3.79 mult_a_ring_ext_a_b(r, mult_a_ring_ext_a_b(r, s2, s3), 22.44/3.79 mult_a_ring_ext_a_b(r, product_snd_a_a(y), 22.44/3.79 product_fst_a_a(x))))), 22.44/3.79 mult_a_ring_ext_a_b(r, mult_a_ring_ext_a_b(r, t2, t), 22.44/3.79 a_minus_a_b(r, 22.44/3.79 mult_a_ring_ext_a_b(r, 22.44/3.79 mult_a_ring_ext_a_b(r, product_snd_a_a(x), 22.44/3.79 product_snd_a_a(y)), mult_a_ring_ext_a_b(r, s2, r3)), 22.44/3.79 mult_a_ring_ext_a_b(r, mult_a_ring_ext_a_b(r, s2, s3), 22.44/3.79 mult_a_ring_ext_a_b(r, product_snd_a_a(x), 22.44/3.79 product_fst_a_a(y)))))) 22.44/3.79 | ~ member_a(mult_a_ring_ext_a_b(r, t2, t), partia1066395285xt_a_b(r)) 22.44/3.79 | ~ member_a( 22.44/3.79 a_minus_a_b(r, 22.44/3.79 mult_a_ring_ext_a_b(r, 22.44/3.79 mult_a_ring_ext_a_b(r, product_snd_a_a(x), product_snd_a_a(y)), 22.44/3.79 mult_a_ring_ext_a_b(r, s3, r2)), 22.44/3.79 mult_a_ring_ext_a_b(r, mult_a_ring_ext_a_b(r, s2, s3), 22.44/3.79 mult_a_ring_ext_a_b(r, product_snd_a_a(y), product_fst_a_a(x)))), 22.44/3.79 partia1066395285xt_a_b(r))), 22.44/3.79 inference('cnf', [status(esa)], 22.44/3.79 [fact_21__092_060open_062_092_060lbrakk_062snd_Ax_H_A_092_060otimes_062_Asnd_Ay_H_A_092_060otimes_062_A_Is_H_A_092_060otimes_062_Ar_J_A_092_060ominus_062_As_A_092_060otimes_062_As_H_A_092_060otimes_062_A_Isnd_Ay_H_A_092_060otimes_062_Afst_Ax_H_J_A_092_060in_062_Acarrier_AR_059_Asnd_Ax_H_A_092_060otimes_062_Asnd_Ay_H_A_092_060otimes_062_A_Is_A_092_060otimes_062_Ar_H_J_A_092_060ominus_062_As_A_092_060otimes_062_As_H_A_092_060otimes_062_A_Isnd_Ax_H_A_092_060otimes_062_Afst_Ay_H_J_A_092_060in_062_Acarrier_AR_059_At_A_092_060otimes_062_At_H_A_092_060in_062_Acarrier_AR_092_060rbrakk_062_A_092_060Longrightarrow_062_At_A_092_060otimes_062_At_H_A_092_060otimes_062_A_Isnd_Ax_H_A_092_060otimes_062_Asnd_Ay_H_A_092_060otimes_062_A_Is_H_A_092_060otimes_062_Ar_J_A_092_060ominus_062_As_A_092_060otimes_062_As_H_A_092_060otimes_062_A_Isnd_Ay_H_A_092_060otimes_062_Afst_Ax_H_J_A_092_060oplus_062_A_Isnd_Ax_H_A_092_060otimes_062_Asnd_Ay_H_A_092_060otimes_062_A_Is_A_092_060otimes_062_Ar_H_J_A_092_060ominus_062_As_A_092_060otimes_062_As_H_A_092_060otimes_062_A_Isnd_Ax_H_A_092_060otimes_062_Afst_Ay_H_J_J_J_A_061_At_A_092_060otimes_062_At_H_A_092_060otimes_062_A_Isnd_Ax_H_A_092_060otimes_062_Asnd_Ay_H_A_092_060otimes_062_A_Is_H_A_092_060otimes_062_Ar_J_A_092_060ominus_062_As_A_092_060otimes_062_As_H_A_092_060otimes_062_A_Isnd_Ay_H_A_092_060otimes_062_Afst_Ax_H_J_J_A_092_060oplus_062_At_A_092_060otimes_062_At_H_A_092_060otimes_062_A_Isnd_Ax_H_A_092_060otimes_062_Asnd_Ay_H_A_092_060otimes_062_A_Is_A_092_060otimes_062_Ar_H_J_A_092_060ominus_062_As_A_092_060otimes_062_As_H_A_092_060otimes_062_A_Isnd_Ax_H_A_092_060otimes_062_Afst_Ay_H_J_J_092_060close_062])). 22.44/3.79 tff(fact_58_f7, axiom, 22.44/3.79 (mult_a_ring_ext_a_b(r,t, 22.44/3.79 a_minus_a_b(r, 22.44/3.79 mult_a_ring_ext_a_b(r,product_snd_a_a(y), 22.44/3.79 r3), 22.44/3.79 mult_a_ring_ext_a_b(r,s3, 22.44/3.79 product_fst_a_a(y)))) = 22.44/3.79 zero_a_b(r))). 22.44/3.79 tff('9', plain, 22.44/3.79 mult_a_ring_ext_a_b(r, t, 22.44/3.79 a_minus_a_b(r, mult_a_ring_ext_a_b(r, product_snd_a_a(y), r3), 22.44/3.79 mult_a_ring_ext_a_b(r, s3, product_fst_a_a(y)))) 22.44/3.79 = zero_a_b(r), 22.44/3.79 inference('cnf', [status(esa)], [fact_58_f7])). 22.44/3.79 tff(fact_48_f30, axiom, 22.44/3.79 (mult_a_ring_ext_a_b(r, 22.44/3.79 mult_a_ring_ext_a_b(r,mult_a_ring_ext_a_b(r,t2,s2), 22.44/3.79 product_snd_a_a(x)), 22.44/3.79 mult_a_ring_ext_a_b(r,t, 22.44/3.79 a_minus_a_b(r, 22.44/3.79 mult_a_ring_ext_a_b( 22.44/3.79 r,product_snd_a_a(y), 22.44/3.79 r3), 22.44/3.79 mult_a_ring_ext_a_b( 22.44/3.79 r,s3, 22.44/3.79 product_fst_a_a(y))))) = 22.44/3.79 a_minus_a_b(r, 22.44/3.79 mult_a_ring_ext_a_b(r,mult_a_ring_ext_a_b(r,t2,t), 22.44/3.79 mult_a_ring_ext_a_b(r, 22.44/3.79 mult_a_ring_ext_a_b( 22.44/3.79 r,product_snd_a_a(x), 22.44/3.79 product_snd_a_a(y)), 22.44/3.79 mult_a_ring_ext_a_b( 22.44/3.79 r,s2,r3))), 22.44/3.79 mult_a_ring_ext_a_b(r,mult_a_ring_ext_a_b(r,t2,t), 22.44/3.79 mult_a_ring_ext_a_b(r, 22.44/3.79 mult_a_ring_ext_a_b( 22.44/3.79 r,s2,s3), 22.44/3.79 mult_a_ring_ext_a_b( 22.44/3.79 r,product_snd_a_a(x), 22.44/3.79 product_fst_a_a(y))))))). 22.44/3.79 tff('10', plain, 22.44/3.79 mult_a_ring_ext_a_b(r, 22.44/3.79 mult_a_ring_ext_a_b(r, mult_a_ring_ext_a_b(r, t2, s2), 22.44/3.79 product_snd_a_a(x)), 22.44/3.79 mult_a_ring_ext_a_b(r, t, 22.44/3.79 a_minus_a_b(r, mult_a_ring_ext_a_b(r, product_snd_a_a(y), r3), 22.44/3.79 mult_a_ring_ext_a_b(r, s3, product_fst_a_a(y))))) 22.44/3.79 = a_minus_a_b(r, 22.44/3.79 mult_a_ring_ext_a_b(r, mult_a_ring_ext_a_b(r, t2, t), 22.44/3.79 mult_a_ring_ext_a_b(r, 22.44/3.79 mult_a_ring_ext_a_b(r, product_snd_a_a(x), product_snd_a_a(y)), 22.44/3.79 mult_a_ring_ext_a_b(r, s2, r3))), 22.44/3.79 mult_a_ring_ext_a_b(r, mult_a_ring_ext_a_b(r, t2, t), 22.44/3.79 mult_a_ring_ext_a_b(r, mult_a_ring_ext_a_b(r, s2, s3), 22.44/3.79 mult_a_ring_ext_a_b(r, product_snd_a_a(x), product_fst_a_a(y))))), 22.44/3.79 inference('cnf', [status(esa)], [fact_48_f30])). 22.44/3.79 tff(fact_57_f5, axiom, 22.44/3.79 (mult_a_ring_ext_a_b(r,t2, 22.44/3.79 a_minus_a_b(r, 22.44/3.79 mult_a_ring_ext_a_b(r,product_snd_a_a(x), 22.44/3.79 r2), 22.44/3.79 mult_a_ring_ext_a_b(r,s2, 22.44/3.79 product_fst_a_a(x)))) = 22.44/3.79 zero_a_b(r))). 22.44/3.79 tff('11', plain, 22.44/3.79 mult_a_ring_ext_a_b(r, t2, 22.44/3.79 a_minus_a_b(r, mult_a_ring_ext_a_b(r, product_snd_a_a(x), r2), 22.44/3.79 mult_a_ring_ext_a_b(r, s2, product_fst_a_a(x)))) 22.44/3.79 = zero_a_b(r), 22.44/3.79 inference('cnf', [status(esa)], [fact_57_f5])). 22.44/3.79 tff(fact_41_f25, axiom, 22.44/3.79 (mult_a_ring_ext_a_b(r, 22.44/3.79 mult_a_ring_ext_a_b(r,mult_a_ring_ext_a_b(r,t,s3), 22.44/3.79 product_snd_a_a(y)), 22.44/3.79 mult_a_ring_ext_a_b(r,t2, 22.44/3.79 a_minus_a_b(r, 22.44/3.79 mult_a_ring_ext_a_b( 22.44/3.79 r,product_snd_a_a(x), 22.44/3.79 r2), 22.44/3.79 mult_a_ring_ext_a_b( 22.44/3.79 r,s2, 22.44/3.79 product_fst_a_a(x))))) = 22.44/3.79 a_minus_a_b(r, 22.44/3.79 mult_a_ring_ext_a_b(r,mult_a_ring_ext_a_b(r,t2,t), 22.44/3.79 mult_a_ring_ext_a_b(r, 22.44/3.79 mult_a_ring_ext_a_b( 22.44/3.79 r,product_snd_a_a(x), 22.44/3.79 product_snd_a_a(y)), 22.44/3.79 mult_a_ring_ext_a_b( 22.44/3.79 r,s3,r2))), 22.44/3.79 mult_a_ring_ext_a_b(r,mult_a_ring_ext_a_b(r,t2,t), 22.44/3.79 mult_a_ring_ext_a_b(r, 22.44/3.79 mult_a_ring_ext_a_b( 22.44/3.79 r,s2,s3), 22.44/3.79 mult_a_ring_ext_a_b( 22.44/3.79 r,product_snd_a_a(y), 22.44/3.79 product_fst_a_a(x))))))). 22.44/3.79 tff('12', plain, 22.44/3.79 mult_a_ring_ext_a_b(r, 22.44/3.79 mult_a_ring_ext_a_b(r, mult_a_ring_ext_a_b(r, t, s3), 22.44/3.79 product_snd_a_a(y)), 22.44/3.79 mult_a_ring_ext_a_b(r, t2, 22.44/3.79 a_minus_a_b(r, mult_a_ring_ext_a_b(r, product_snd_a_a(x), r2), 22.44/3.79 mult_a_ring_ext_a_b(r, s2, product_fst_a_a(x))))) 22.44/3.79 = a_minus_a_b(r, 22.44/3.79 mult_a_ring_ext_a_b(r, mult_a_ring_ext_a_b(r, t2, t), 22.44/3.79 mult_a_ring_ext_a_b(r, 22.44/3.79 mult_a_ring_ext_a_b(r, product_snd_a_a(x), product_snd_a_a(y)), 22.44/3.79 mult_a_ring_ext_a_b(r, s3, r2))), 22.44/3.79 mult_a_ring_ext_a_b(r, mult_a_ring_ext_a_b(r, t2, t), 22.44/3.79 mult_a_ring_ext_a_b(r, mult_a_ring_ext_a_b(r, s2, s3), 22.44/3.79 mult_a_ring_ext_a_b(r, product_snd_a_a(y), product_fst_a_a(x))))), 22.44/3.79 inference('cnf', [status(esa)], [fact_41_f25])). 22.44/3.79 tff('13', plain, $false, 22.44/3.79 inference('eprover', [status(thm)], 22.44/3.79 ['0', '1', '2', '3', '4', '5', '6', '7', '8', '9', '10', '11', 22.44/3.79 '12'])). 22.44/3.79 22.44/3.79 % SZS output end Refutation 22.44/3.79 22.44/3.79 22.44/3.79 % Terminating... 22.93/3.85 % Runner terminated. 22.93/3.87 % Zipperpin 1.5 exiting 22.93/3.87 EOF