0.10/0.10 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.10/0.10 % Command : run_vampire %s %d THM 0.10/0.31 % Computer : n010.cluster.edu 0.10/0.31 % Model : x86_64 x86_64 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.10/0.31 % Memory : 8042.1875MB 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64 0.10/0.31 % CPULimit : 1440 0.10/0.31 % WCLimit : 180 0.10/0.31 % DateTime : Thu Jul 4 07:15:24 EDT 2024 0.10/0.31 % CPUTime : 0.16/0.32 This is a THF_ problem 0.17/0.33 Running higher-order theorem proving 0.17/0.33 Running /export/starexec/sandbox/solver/bin/vampire_ho --cores 7 --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol /export/starexec/sandbox/tmp/tmp.aFpajcF4K1/E---3.1_16797.p -m 16384 -t 180 0.17/0.35 % (16906)lrs+10_1:1_c=on:cnfonf=conj_eager:fd=off:fe=off:kws=frequency:spb=intro:i=4:si=on:rtra=on_0 on E---3.1_16797 for (1799ds/4Mi) 0.17/0.35 % (16907)dis+1010_1:1_au=on:cbe=off:chr=on:fsr=off:hfsq=on:nm=64:sos=theory:sp=weighted_frequency:i=27:si=on:rtra=on_0 on E---3.1_16797 for (1799ds/27Mi) 0.17/0.35 % (16911)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on E---3.1_16797 for (1799ds/18Mi) 0.17/0.35 % (16909)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on E---3.1_16797 for (1799ds/2Mi) 0.17/0.35 % (16905)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on E---3.1_16797 for (1799ds/183Mi) 0.17/0.35 % (16908)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on E---3.1_16797 for (1799ds/2Mi) 0.17/0.35 % (16910)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on E---3.1_16797 for (1799ds/275Mi) 0.17/0.35 % (16908)Instruction limit reached! 0.17/0.35 % (16908)------------------------------ 0.17/0.35 % (16908)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.17/0.35 % (16908)Termination reason: Unknown 0.17/0.35 % (16908)Termination phase: Saturation 0.17/0.35 % (16909)Instruction limit reached! 0.17/0.35 % (16909)------------------------------ 0.17/0.35 % (16909)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.17/0.35 % (16909)Termination reason: Unknown 0.17/0.35 % (16909)Termination phase: Saturation 0.17/0.35 0.17/0.35 % (16909)Memory used [KB]: 1023 0.17/0.35 % (16909)Time elapsed: 0.004 s 0.17/0.35 % (16909)Instructions burned: 2 (million) 0.17/0.35 % (16909)------------------------------ 0.17/0.35 % (16909)------------------------------ 0.17/0.35 0.17/0.35 % (16908)Memory used [KB]: 5500 0.17/0.35 % (16908)Time elapsed: 0.004 s 0.17/0.35 % (16908)Instructions burned: 2 (million) 0.17/0.35 % (16908)------------------------------ 0.17/0.35 % (16908)------------------------------ 0.17/0.35 % (16910)Refutation not found, incomplete strategy 0.17/0.35 % (16910)------------------------------ 0.17/0.35 % (16910)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.17/0.35 % (16910)Termination reason: Refutation not found, incomplete strategy 0.17/0.35 0.17/0.35 0.17/0.35 % (16910)Memory used [KB]: 5500 0.17/0.35 % (16910)Time elapsed: 0.004 s 0.17/0.35 % (16910)Instructions burned: 2 (million) 0.17/0.35 % (16910)------------------------------ 0.17/0.35 % (16910)------------------------------ 0.17/0.36 % (16906)Instruction limit reached! 0.17/0.36 % (16906)------------------------------ 0.17/0.36 % (16906)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.17/0.36 % (16906)Termination reason: Unknown 0.17/0.36 % (16906)Termination phase: Saturation 0.17/0.36 0.17/0.36 % (16906)Memory used [KB]: 5500 0.17/0.36 % (16906)Time elapsed: 0.006 s 0.17/0.36 % (16906)Instructions burned: 5 (million) 0.17/0.36 % (16906)------------------------------ 0.17/0.36 % (16906)------------------------------ 0.17/0.36 % (16905)First to succeed. 0.17/0.36 % (16905)Refutation found. Thanks to Tanya! 0.17/0.36 % SZS status Theorem for E---3.1_16797 0.17/0.36 % SZS output start Proof for E---3.1_16797 0.17/0.36 thf(func_def_0, type, num: $tType). 0.17/0.36 thf(func_def_1, type, holdsDuring_THFTYPE_IiooI: $i > $o > $o). 0.17/0.36 thf(func_def_4, type, lYearFn_THFTYPE_IiiI: $i > $i). 0.17/0.36 thf(func_def_6, type, wife_THFTYPE_IiioI: $i > $i > $o). 0.17/0.36 thf(func_def_7, type, husband_THFTYPE_IiioI: $i > $i > $o). 0.17/0.36 thf(func_def_8, type, inverse_THFTYPE_IIiioIIiioIoI: ($i > $i > $o) > ($i > $i > $o) > $o). 0.17/0.36 thf(func_def_17, type, ph2: !>[X0: $tType]:(X0)). 0.17/0.36 thf(f90,plain,( 0.17/0.36 $false), 0.17/0.36 inference(trivial_inequality_removal,[],[f87])). 0.17/0.36 thf(f87,plain,( 0.17/0.36 ($true = $false)), 0.17/0.36 inference(superposition,[],[f67,f84])). 0.17/0.36 thf(f84,plain,( 0.17/0.36 ($false = (wife_THFTYPE_IiioI @ sK0 @ lChris_THFTYPE_i))), 0.17/0.36 inference(trivial_inequality_removal,[],[f80])). 0.17/0.36 thf(f80,plain,( 0.17/0.36 ($true = $false) | ($false = (wife_THFTYPE_IiioI @ sK0 @ lChris_THFTYPE_i))), 0.17/0.36 inference(superposition,[],[f79,f35])). 0.17/0.36 thf(f35,plain,( 0.17/0.36 ($false = (husband_THFTYPE_IiioI @ lChris_THFTYPE_i @ sK0))), 0.17/0.36 inference(not_proxy_clausification,[],[f27])). 0.17/0.36 thf(f27,plain,( 0.17/0.36 ((~ (husband_THFTYPE_IiioI @ lChris_THFTYPE_i @ sK0)) = $true)), 0.17/0.36 inference(cnf_transformation,[],[f24])). 0.17/0.36 thf(f24,plain,( 0.17/0.36 ((~ (husband_THFTYPE_IiioI @ lChris_THFTYPE_i @ sK0)) = $true)), 0.17/0.36 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f14,f23])). 0.17/0.36 thf(f23,plain,( 0.17/0.36 ? [X0] : ($true = (~ (husband_THFTYPE_IiioI @ lChris_THFTYPE_i @ X0))) => ((~ (husband_THFTYPE_IiioI @ lChris_THFTYPE_i @ sK0)) = $true)), 0.17/0.36 introduced(choice_axiom,[])). 0.17/0.36 thf(f14,plain,( 0.17/0.36 ? [X0] : ($true = (~ (husband_THFTYPE_IiioI @ lChris_THFTYPE_i @ X0)))), 0.17/0.36 inference(fool_elimination,[],[f13])). 0.17/0.36 thf(f13,plain,( 0.17/0.36 ? [X0] : (~ (husband_THFTYPE_IiioI @ lChris_THFTYPE_i @ X0))), 0.17/0.36 inference(rectify,[],[f7])). 0.17/0.36 thf(f7,axiom,( 0.17/0.36 ? [X5] : (~ (husband_THFTYPE_IiioI @ lChris_THFTYPE_i @ X5))), 0.17/0.36 file('/export/starexec/sandbox/tmp/tmp.aFpajcF4K1/E---3.1_16797.p',ax4)). 0.17/0.36 thf(f79,plain,( 0.17/0.36 ( ! [X0 : $i,X1 : $i] : (($true = (husband_THFTYPE_IiioI @ X0 @ X1)) | ($false = (wife_THFTYPE_IiioI @ X1 @ X0))) )), 0.17/0.36 inference(trivial_inequality_removal,[],[f78])). 0.17/0.36 thf(f78,plain,( 0.17/0.36 ( ! [X0 : $i,X1 : $i] : (($true = (husband_THFTYPE_IiioI @ X0 @ X1)) | ($true != $true) | ($false = (wife_THFTYPE_IiioI @ X1 @ X0))) )), 0.17/0.36 inference(superposition,[],[f34,f25])). 0.17/0.36 thf(f25,plain,( 0.17/0.36 ((inverse_THFTYPE_IIiioIIiioIoI @ husband_THFTYPE_IiioI @ wife_THFTYPE_IiioI) = $true)), 0.17/0.36 inference(cnf_transformation,[],[f16])). 0.17/0.36 thf(f16,plain,( 0.17/0.36 ((inverse_THFTYPE_IIiioIIiioIoI @ husband_THFTYPE_IiioI @ wife_THFTYPE_IiioI) = $true)), 0.17/0.36 inference(fool_elimination,[],[f15])). 0.17/0.36 thf(f15,plain,( 0.17/0.36 (inverse_THFTYPE_IIiioIIiioIoI @ husband_THFTYPE_IiioI @ wife_THFTYPE_IiioI)), 0.17/0.36 inference(rectify,[],[f2])). 0.17/0.36 thf(f2,axiom,( 0.17/0.36 (inverse_THFTYPE_IIiioIIiioIoI @ husband_THFTYPE_IiioI @ wife_THFTYPE_IiioI)), 0.17/0.36 file('/export/starexec/sandbox/tmp/tmp.aFpajcF4K1/E---3.1_16797.p',ax1)). 0.17/0.36 thf(f34,plain,( 0.17/0.36 ( ! [X2 : $i,X3 : $i,X0 : $i > $i > $o,X1 : $i > $i > $o] : (($true != (inverse_THFTYPE_IIiioIIiioIoI @ X0 @ X1)) | ($true = (X0 @ X2 @ X3)) | ((X1 @ X3 @ X2) = $false)) )), 0.17/0.36 inference(binary_proxy_clausification,[],[f29])). 0.17/0.36 thf(f29,plain,( 0.17/0.36 ( ! [X2 : $i,X3 : $i,X0 : $i > $i > $o,X1 : $i > $i > $o] : (((X1 @ X3 @ X2) = (X0 @ X2 @ X3)) | ($true != (inverse_THFTYPE_IIiioIIiioIoI @ X0 @ X1))) )), 0.17/0.36 inference(cnf_transformation,[],[f21])). 0.17/0.36 thf(f21,plain,( 0.17/0.36 ! [X0 : $i > $i > $o,X1 : $i > $i > $o] : (! [X2,X3] : ((X1 @ X3 @ X2) = (X0 @ X2 @ X3)) | ($true != (inverse_THFTYPE_IIiioIIiioIoI @ X0 @ X1)))), 0.17/0.36 inference(ennf_transformation,[],[f12])). 0.17/0.36 thf(f12,plain,( 0.17/0.36 ! [X0 : $i > $i > $o,X1 : $i > $i > $o] : (($true = (inverse_THFTYPE_IIiioIIiioIoI @ X0 @ X1)) => ! [X2,X3] : ((X1 @ X3 @ X2) = (X0 @ X2 @ X3)))), 0.17/0.36 inference(fool_elimination,[],[f11])). 0.17/0.36 thf(f11,plain,( 0.17/0.36 ! [X0 : $i > $i > $o,X1 : $i > $i > $o] : ((inverse_THFTYPE_IIiioIIiioIoI @ X0 @ X1) => ! [X2,X3] : ((X1 @ X3 @ X2) <=> (X0 @ X2 @ X3)))), 0.17/0.36 inference(rectify,[],[f3])). 0.17/0.36 thf(f3,axiom,( 0.17/0.36 ! [X1 : $i > $i > $o,X0 : $i > $i > $o] : ((inverse_THFTYPE_IIiioIIiioIoI @ X1 @ X0) => ! [X2,X3] : ((X0 @ X3 @ X2) <=> (X1 @ X2 @ X3)))), 0.17/0.36 file('/export/starexec/sandbox/tmp/tmp.aFpajcF4K1/E---3.1_16797.p',ax2)). 0.17/0.36 thf(f67,plain,( 0.17/0.36 ( ! [X2 : $i,X1 : $i] : (($true = (wife_THFTYPE_IiioI @ X2 @ X1))) )), 0.17/0.36 inference(beta_eta_normalization,[],[f66])). 0.17/0.36 thf(f66,plain,( 0.17/0.36 ( ! [X2 : $i,X1 : $i] : ((((^[Y0 : $i]: ($true)) @ X2) = ((^[Y0 : $i]: (wife_THFTYPE_IiioI @ Y0 @ X1)) @ X2))) )), 0.17/0.36 inference(argument_congruence,[],[f65])). 0.17/0.36 thf(f65,plain,( 0.17/0.36 ( ! [X1 : $i] : (((^[Y0 : $i]: ($true)) = (^[Y0 : $i]: (wife_THFTYPE_IiioI @ Y0 @ X1)))) )), 0.17/0.36 inference(beta_eta_normalization,[],[f64])). 0.17/0.36 thf(f64,plain,( 0.17/0.36 ( ! [X1 : $i] : ((((^[Y0 : $i]: ((^[Y1 : $i]: ($true)))) @ X1) = ((^[Y0 : $i]: ((^[Y1 : $i]: (wife_THFTYPE_IiioI @ Y1 @ Y0)))) @ X1))) )), 0.17/0.36 inference(argument_congruence,[],[f43])). 0.17/0.36 thf(f43,plain,( 0.17/0.36 ((^[Y0 : $i]: ((^[Y1 : $i]: ($true)))) = (^[Y0 : $i]: ((^[Y1 : $i]: (wife_THFTYPE_IiioI @ Y1 @ Y0)))))), 0.17/0.36 inference(beta_eta_normalization,[],[f42])). 0.17/0.36 thf(f42,plain,( 0.17/0.36 ((^[Y0 : $i]: ((^[Y1 : $i]: (wife_THFTYPE_IiioI @ ((^[Y2 : $i]: ((^[Y3 : $i]: (Y3)))) @ Y0 @ Y1) @ ((^[Y2 : $i]: ((^[Y3 : $i]: (Y2)))) @ Y0 @ Y1))))) = (^[Y0 : $i]: ((^[Y1 : $i]: ($true)))))), 0.17/0.36 inference(trivial_inequality_removal,[],[f40])). 0.17/0.36 thf(f40,plain,( 0.17/0.36 ((^[Y0 : $i]: ((^[Y1 : $i]: (wife_THFTYPE_IiioI @ ((^[Y2 : $i]: ((^[Y3 : $i]: (Y3)))) @ Y0 @ Y1) @ ((^[Y2 : $i]: ((^[Y3 : $i]: (Y2)))) @ Y0 @ Y1))))) = (^[Y0 : $i]: ((^[Y1 : $i]: ($true))))) | ($true != $true)), 0.17/0.36 inference(superposition,[],[f32,f26])). 0.17/0.36 thf(f26,plain,( 0.17/0.36 ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i)) = $true)), 0.17/0.36 inference(cnf_transformation,[],[f20])). 0.17/0.36 thf(f20,plain,( 0.17/0.36 ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i)) = $true)), 0.17/0.36 inference(fool_elimination,[],[f19])). 0.17/0.36 thf(f19,plain,( 0.17/0.36 (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i))), 0.17/0.36 inference(rectify,[],[f1])). 0.17/0.36 thf(f1,axiom,( 0.17/0.36 (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i))), 0.17/0.36 file('/export/starexec/sandbox/tmp/tmp.aFpajcF4K1/E---3.1_16797.p',ax5)). 0.17/0.36 thf(f32,plain,( 0.17/0.36 ( ! [X0 : $i > $i > $o] : (($true != (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (X0 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i))) | ((^[Y0 : $i]: ((^[Y1 : $i]: ($true)))) = X0)) )), 0.17/0.36 inference(equality_proxy_clausification,[],[f31])). 0.17/0.36 thf(f31,plain,( 0.17/0.36 ( ! [X0 : $i > $i > $o] : (($true = (X0 = (^[Y0 : $i]: ((^[Y1 : $i]: ($true)))))) | ($true != (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (X0 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i)))) )), 0.17/0.36 inference(not_proxy_clausification,[],[f28])). 0.17/0.36 thf(f28,plain,( 0.17/0.36 ( ! [X0 : $i > $i > $o] : (($true != (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (X0 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i))) | ($true != (~ (X0 = (^[Y0 : $i]: ((^[Y1 : $i]: ($true)))))))) )), 0.17/0.36 inference(cnf_transformation,[],[f22])). 0.17/0.36 thf(f22,plain,( 0.17/0.36 ! [X0 : $i > $i > $o] : (($true != (~ (X0 = (^[Y0 : $i]: ((^[Y1 : $i]: ($true))))))) | ($true != (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (X0 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i))))), 0.17/0.36 inference(ennf_transformation,[],[f18])). 0.17/0.36 thf(f18,plain,( 0.17/0.36 ~? [X0 : $i > $i > $o] : (($true = (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (X0 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i))) & ($true = (~ (X0 = (^[Y0 : $i]: ((^[Y1 : $i]: ($true))))))))), 0.17/0.36 inference(fool_elimination,[],[f17])). 0.17/0.36 thf(f17,plain,( 0.17/0.36 ~? [X0 : $i > $i > $o] : ((~ (X0 = (^[X1 : $i, X2 : $i] : ($true)))) & (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (X0 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i)))), 0.17/0.36 inference(rectify,[],[f5])). 0.17/0.36 thf(f5,negated_conjecture,( 0.17/0.36 ~? [X4 : $i > $i > $o] : ((~ (X4 = (^[X5 : $i, X6 : $i] : ($true)))) & (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (X4 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i)))), 0.17/0.36 inference(negated_conjecture,[],[f4])). 0.17/0.36 thf(f4,conjecture,( 0.17/0.36 ? [X4 : $i > $i > $o] : ((~ (X4 = (^[X5 : $i, X6 : $i] : ($true)))) & (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (X4 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i)))), 0.17/0.36 file('/export/starexec/sandbox/tmp/tmp.aFpajcF4K1/E---3.1_16797.p',con)). 0.17/0.36 % SZS output end Proof for E---3.1_16797 0.17/0.36 % (16905)------------------------------ 0.17/0.36 % (16905)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.17/0.36 % (16905)Termination reason: Refutation 0.17/0.36 0.17/0.36 % (16905)Memory used [KB]: 5628 0.17/0.36 % (16905)Time elapsed: 0.011 s 0.17/0.36 % (16905)Instructions burned: 12 (million) 0.17/0.36 % (16905)------------------------------ 0.17/0.36 % (16905)------------------------------ 0.17/0.36 % (16904)Success in time 0.024 s 0.17/0.36 EOF