0.07/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.07/0.12 % Command : run_vampire %s %d THM 0.12/0.33 % Computer : n026.cluster.edu 0.12/0.33 % Model : x86_64 x86_64 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.12/0.33 % Memory : 8042.1875MB 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 0.12/0.33 % CPULimit : 1440 0.12/0.33 % WCLimit : 180 0.12/0.33 % DateTime : Thu Jul 4 04:09:09 EDT 2024 0.12/0.33 % CPUTime : 0.12/0.35 This is a THF_ problem 0.12/0.36 Running higher-order theorem proving 0.12/0.36 Running /export/starexec/sandbox2/solver/bin/vampire_ho --cores 7 --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol /export/starexec/sandbox2/tmp/tmp.lriQTg347b/E---3.1_25396.p -m 16384 -t 180 0.21/0.38 % (25526)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on E---3.1_25396 for (1799ds/183Mi) 0.21/0.38 % (25527)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_25396 for (1799ds/4Mi) 0.21/0.38 % (25529)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on E---3.1_25396 for (1799ds/2Mi) 0.21/0.38 % (25528)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_25396 for (1799ds/27Mi) 0.21/0.38 % (25530)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_25396 for (1799ds/2Mi) 0.21/0.38 % (25531)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_25396 for (1799ds/275Mi) 0.21/0.38 % (25532)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on E---3.1_25396 for (1799ds/18Mi) 0.21/0.38 % (25529)Instruction limit reached! 0.21/0.38 % (25529)------------------------------ 0.21/0.38 % (25529)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.21/0.38 % (25530)Instruction limit reached! 0.21/0.38 % (25530)------------------------------ 0.21/0.38 % (25530)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.21/0.38 % (25530)Termination reason: Unknown 0.21/0.38 % (25530)Termination phase: Saturation 0.21/0.38 0.21/0.38 % (25530)Memory used [KB]: 1023 0.21/0.38 % (25530)Time elapsed: 0.004 s 0.21/0.38 % (25530)Instructions burned: 2 (million) 0.21/0.38 % (25530)------------------------------ 0.21/0.38 % (25530)------------------------------ 0.21/0.38 % (25529)Termination reason: Unknown 0.21/0.38 % (25529)Termination phase: Saturation 0.21/0.38 0.21/0.38 % (25529)Memory used [KB]: 5500 0.21/0.38 % (25529)Time elapsed: 0.004 s 0.21/0.38 % (25529)Instructions burned: 2 (million) 0.21/0.38 % (25529)------------------------------ 0.21/0.38 % (25529)------------------------------ 0.21/0.39 % (25527)Instruction limit reached! 0.21/0.39 % (25527)------------------------------ 0.21/0.39 % (25527)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.21/0.39 % (25527)Termination reason: Unknown 0.21/0.39 % (25527)Termination phase: Saturation 0.21/0.39 0.21/0.39 % (25527)Memory used [KB]: 5500 0.21/0.39 % (25527)Time elapsed: 0.006 s 0.21/0.39 % (25527)Instructions burned: 4 (million) 0.21/0.39 % (25527)------------------------------ 0.21/0.39 % (25527)------------------------------ 0.21/0.39 % (25528)First to succeed. 0.21/0.39 % (25531)Also succeeded, but the first one will report. 0.21/0.39 % (25526)Also succeeded, but the first one will report. 0.21/0.39 % (25528)Refutation found. Thanks to Tanya! 0.21/0.39 % SZS status Theorem for E---3.1_25396 0.21/0.39 % SZS output start Proof for E---3.1_25396 0.21/0.39 thf(func_def_0, type, cD: $i > $i > $i > $o). 0.21/0.39 thf(func_def_1, type, cF: $i > $i > $o). 0.21/0.39 thf(func_def_2, type, cS: $i > $i > $o). 0.21/0.39 thf(func_def_4, type, vEPSILON: !>[X0: $tType]:((X0 > $o) > X0)). 0.21/0.39 thf(func_def_7, type, sK0: $i > $i). 0.21/0.39 thf(func_def_8, type, sK1: $i > $i). 0.21/0.39 thf(func_def_10, type, sK3: $i > $i). 0.21/0.39 thf(func_def_11, type, sK4: $i > $i). 0.21/0.39 thf(func_def_12, type, sK5: $i > $i > $i). 0.21/0.39 thf(func_def_13, type, sK6: $i > $i > $i). 0.21/0.39 thf(f36,plain,( 0.21/0.39 $false), 0.21/0.39 inference(trivial_inequality_removal,[],[f33])). 0.21/0.39 thf(f33,plain,( 0.21/0.39 ($true != $true)), 0.21/0.39 inference(superposition,[],[f18,f32])). 0.21/0.39 thf(f32,plain,( 0.21/0.39 ( ! [X0 : $i,X1 : $i] : (($true = (cD @ (sK6 @ (sK3 @ (sK1 @ X0)) @ X1) @ (sK0 @ sK2) @ X0))) )), 0.21/0.39 inference(trivial_inequality_removal,[],[f31])). 0.21/0.39 thf(f31,plain,( 0.21/0.39 ( ! [X0 : $i,X1 : $i] : (($true != $true) | ($true = (cD @ (sK6 @ (sK3 @ (sK1 @ X0)) @ X1) @ (sK0 @ sK2) @ X0))) )), 0.21/0.39 inference(superposition,[],[f29,f22])). 0.21/0.39 thf(f22,plain,( 0.21/0.39 ( ! [X0 : $i] : (($true = (cF @ X0 @ (sK0 @ X0)))) )), 0.21/0.39 inference(cnf_transformation,[],[f16])). 0.21/0.39 thf(f16,plain,( 0.21/0.39 ! [X0] : ($true = (cF @ X0 @ (sK0 @ X0))) & ! [X2] : ! [X4,X5] : (! [X6,X7] : (($true = (cD @ X6 @ X7 @ X2)) | ($true != (cF @ X5 @ X7)) | ($true != (cF @ X4 @ X6))) | ($true != (cD @ X4 @ X5 @ (sK1 @ X2)))) & ! [X9] : ! [X11] : (($true = (cD @ X11 @ sK2 @ X9)) | ($true != (cS @ (sK3 @ X9) @ X11))) & ! [X12] : ! [X14] : ((($true = (cF @ (sK5 @ X14 @ X12) @ (sK6 @ X14 @ X12))) & ($true != (cD @ (sK6 @ X14 @ X12) @ X12 @ (sK4 @ X12)))) & ($true = (cS @ X14 @ (sK5 @ X14 @ X12))))), 0.21/0.39 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6])],[f8,f15,f14,f13,f12,f11,f10,f9])). 0.21/0.39 thf(f9,plain,( 0.21/0.39 ! [X0] : (? [X1] : ($true = (cF @ X0 @ X1)) => ($true = (cF @ X0 @ (sK0 @ X0))))), 0.21/0.39 introduced(choice_axiom,[])). 0.21/0.39 thf(f10,plain,( 0.21/0.39 ! [X2] : (? [X3] : ! [X4,X5] : (! [X6,X7] : (($true = (cD @ X6 @ X7 @ X2)) | ($true != (cF @ X5 @ X7)) | ($true != (cF @ X4 @ X6))) | ($true != (cD @ X4 @ X5 @ X3))) => ! [X5,X4] : (! [X6,X7] : (($true = (cD @ X6 @ X7 @ X2)) | ($true != (cF @ X5 @ X7)) | ($true != (cF @ X4 @ X6))) | ($true != (cD @ X4 @ X5 @ (sK1 @ X2)))))), 0.21/0.39 introduced(choice_axiom,[])). 0.21/0.39 thf(f11,plain,( 0.21/0.39 ? [X8] : ! [X9] : ? [X10] : ! [X11] : (($true = (cD @ X11 @ X8 @ X9)) | ($true != (cS @ X10 @ X11))) => ! [X9] : ? [X10] : ! [X11] : (($true = (cD @ X11 @ sK2 @ X9)) | ($true != (cS @ X10 @ X11)))), 0.21/0.39 introduced(choice_axiom,[])). 0.21/0.39 thf(f12,plain,( 0.21/0.39 ! [X9] : (? [X10] : ! [X11] : (($true = (cD @ X11 @ sK2 @ X9)) | ($true != (cS @ X10 @ X11))) => ! [X11] : (($true = (cD @ X11 @ sK2 @ X9)) | ($true != (cS @ (sK3 @ X9) @ X11))))), 0.21/0.39 introduced(choice_axiom,[])). 0.21/0.39 thf(f13,plain,( 0.21/0.39 ! [X12] : (? [X13] : ! [X14] : ? [X15] : (? [X16] : (($true = (cF @ X15 @ X16)) & ($true != (cD @ X16 @ X12 @ X13))) & ($true = (cS @ X14 @ X15))) => ! [X14] : ? [X15] : (? [X16] : (($true = (cF @ X15 @ X16)) & ($true != (cD @ X16 @ X12 @ (sK4 @ X12)))) & ($true = (cS @ X14 @ X15))))), 0.21/0.39 introduced(choice_axiom,[])). 0.21/0.39 thf(f14,plain,( 0.21/0.39 ! [X12,X14] : (? [X15] : (? [X16] : (($true = (cF @ X15 @ X16)) & ($true != (cD @ X16 @ X12 @ (sK4 @ X12)))) & ($true = (cS @ X14 @ X15))) => (? [X16] : (($true = (cF @ (sK5 @ X14 @ X12) @ X16)) & ($true != (cD @ X16 @ X12 @ (sK4 @ X12)))) & ($true = (cS @ X14 @ (sK5 @ X14 @ X12)))))), 0.21/0.39 introduced(choice_axiom,[])). 0.21/0.39 thf(f15,plain,( 0.21/0.39 ! [X12,X14] : (? [X16] : (($true = (cF @ (sK5 @ X14 @ X12) @ X16)) & ($true != (cD @ X16 @ X12 @ (sK4 @ X12)))) => (($true = (cF @ (sK5 @ X14 @ X12) @ (sK6 @ X14 @ X12))) & ($true != (cD @ (sK6 @ X14 @ X12) @ X12 @ (sK4 @ X12)))))), 0.21/0.39 introduced(choice_axiom,[])). 0.21/0.39 thf(f8,plain,( 0.21/0.39 ! [X0] : ? [X1] : ($true = (cF @ X0 @ X1)) & ! [X2] : ? [X3] : ! [X4,X5] : (! [X6,X7] : (($true = (cD @ X6 @ X7 @ X2)) | ($true != (cF @ X5 @ X7)) | ($true != (cF @ X4 @ X6))) | ($true != (cD @ X4 @ X5 @ X3))) & ? [X8] : ! [X9] : ? [X10] : ! [X11] : (($true = (cD @ X11 @ X8 @ X9)) | ($true != (cS @ X10 @ X11))) & ! [X12] : ? [X13] : ! [X14] : ? [X15] : (? [X16] : (($true = (cF @ X15 @ X16)) & ($true != (cD @ X16 @ X12 @ X13))) & ($true = (cS @ X14 @ X15)))), 0.21/0.39 inference(rectify,[],[f7])). 0.21/0.39 thf(f7,plain,( 0.21/0.39 ! [X10] : ? [X11] : ($true = (cF @ X10 @ X11)) & ! [X4] : ? [X5] : ! [X7,X6] : (! [X8,X9] : (($true = (cD @ X8 @ X9 @ X4)) | ($true != (cF @ X6 @ X9)) | ($true != (cF @ X7 @ X8))) | ($true != (cD @ X7 @ X6 @ X5))) & ? [X0] : ! [X1] : ? [X2] : ! [X3] : (($true = (cD @ X3 @ X0 @ X1)) | ((cS @ X2 @ X3) != $true)) & ! [X12] : ? [X13] : ! [X14] : ? [X15] : (? [X16] : (($true = (cF @ X15 @ X16)) & ($true != (cD @ X16 @ X12 @ X13))) & ($true = (cS @ X14 @ X15)))), 0.21/0.39 inference(flattening,[],[f6])). 0.21/0.39 thf(f6,plain,( 0.21/0.39 ! [X12] : ? [X13] : ! [X14] : ? [X15] : (? [X16] : (($true = (cF @ X15 @ X16)) & ($true != (cD @ X16 @ X12 @ X13))) & ($true = (cS @ X14 @ X15))) & (! [X4] : ? [X5] : ! [X7,X6] : (! [X9,X8] : (($true = (cD @ X8 @ X9 @ X4)) | (($true != (cF @ X7 @ X8)) | ($true != (cF @ X6 @ X9)))) | ($true != (cD @ X7 @ X6 @ X5))) & ? [X0] : ! [X1] : ? [X2] : ! [X3] : (($true = (cD @ X3 @ X0 @ X1)) | ((cS @ X2 @ X3) != $true)) & ! [X10] : ? [X11] : ($true = (cF @ X10 @ X11)))), 0.21/0.39 inference(ennf_transformation,[],[f5])). 0.21/0.39 thf(f5,plain,( 0.21/0.39 ~((! [X4] : ? [X5] : ! [X7,X6] : (($true = (cD @ X7 @ X6 @ X5)) => ! [X9,X8] : ((($true = (cF @ X7 @ X8)) & ($true = (cF @ X6 @ X9))) => ($true = (cD @ X8 @ X9 @ X4)))) & ? [X0] : ! [X1] : ? [X2] : ! [X3] : (((cS @ X2 @ X3) = $true) => ($true = (cD @ X3 @ X0 @ X1))) & ! [X10] : ? [X11] : ($true = (cF @ X10 @ X11))) => ? [X12] : ! [X13] : ? [X14] : ! [X15] : (($true = (cS @ X14 @ X15)) => ! [X16] : (($true = (cF @ X15 @ X16)) => ($true = (cD @ X16 @ X12 @ X13)))))), 0.21/0.39 inference(fool_elimination,[],[f4])). 0.21/0.39 thf(f4,plain,( 0.21/0.39 ~((? [X0] : ! [X1] : ? [X2] : ! [X3] : ((cS @ X2 @ X3) => (cD @ X3 @ X0 @ X1)) & ! [X4] : ? [X5] : ! [X6,X7] : ((cD @ X7 @ X6 @ X5) => ! [X8,X9] : (((cF @ X7 @ X8) & (cF @ X6 @ X9)) => (cD @ X8 @ X9 @ X4))) & ! [X10] : ? [X11] : (cF @ X10 @ X11)) => ? [X12] : ! [X13] : ? [X14] : ! [X15] : ((cS @ X14 @ X15) => ! [X16] : ((cF @ X15 @ X16) => (cD @ X16 @ X12 @ X13))))), 0.21/0.39 inference(rectify,[],[f2])). 0.21/0.39 thf(f2,negated_conjecture,( 0.21/0.39 ~((? [X5] : ! [X1] : ? [X9] : ! [X3] : ((cS @ X9 @ X3) => (cD @ X3 @ X5 @ X1)) & ! [X1] : ? [X6] : ! [X8,X7] : ((cD @ X7 @ X8 @ X6) => ! [X0,X4] : (((cF @ X7 @ X0) & (cF @ X8 @ X4)) => (cD @ X0 @ X4 @ X1))) & ! [X5] : ? [X0] : (cF @ X5 @ X0)) => ? [X0] : ! [X1] : ? [X2] : ! [X3] : ((cS @ X2 @ X3) => ! [X4] : ((cF @ X3 @ X4) => (cD @ X4 @ X0 @ X1))))), 0.21/0.39 inference(negated_conjecture,[],[f1])). 0.21/0.39 thf(f1,conjecture,( 0.21/0.39 (? [X5] : ! [X1] : ? [X9] : ! [X3] : ((cS @ X9 @ X3) => (cD @ X3 @ X5 @ X1)) & ! [X1] : ? [X6] : ! [X8,X7] : ((cD @ X7 @ X8 @ X6) => ! [X0,X4] : (((cF @ X7 @ X0) & (cF @ X8 @ X4)) => (cD @ X0 @ X4 @ X1))) & ! [X5] : ? [X0] : (cF @ X5 @ X0)) => ? [X0] : ! [X1] : ? [X2] : ! [X3] : ((cS @ X2 @ X3) => ! [X4] : ((cF @ X3 @ X4) => (cD @ X4 @ X0 @ X1)))), 0.21/0.39 file('/export/starexec/sandbox2/tmp/tmp.lriQTg347b/E---3.1_25396.p',cX2138)). 0.21/0.39 thf(f29,plain,( 0.21/0.39 ( ! [X2 : $i,X0 : $i,X1 : $i] : (($true != (cF @ sK2 @ X2)) | ((cD @ (sK6 @ (sK3 @ (sK1 @ X0)) @ X1) @ X2 @ X0) = $true)) )), 0.21/0.39 inference(trivial_inequality_removal,[],[f27])). 0.21/0.39 thf(f27,plain,( 0.21/0.39 ( ! [X2 : $i,X0 : $i,X1 : $i] : (($true != (cF @ sK2 @ X2)) | ($true != $true) | ((cD @ (sK6 @ (sK3 @ (sK1 @ X0)) @ X1) @ X2 @ X0) = $true)) )), 0.21/0.39 inference(superposition,[],[f26,f19])). 0.21/0.39 thf(f19,plain,( 0.21/0.39 ( ! [X14 : $i,X12 : $i] : (($true = (cF @ (sK5 @ X14 @ X12) @ (sK6 @ X14 @ X12)))) )), 0.21/0.39 inference(cnf_transformation,[],[f16])). 0.21/0.39 thf(f26,plain,( 0.21/0.39 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (($true != (cF @ (sK5 @ (sK3 @ (sK1 @ X0)) @ X1) @ X3)) | ($true != (cF @ sK2 @ X2)) | ($true = (cD @ X3 @ X2 @ X0))) )), 0.21/0.39 inference(trivial_inequality_removal,[],[f25])). 0.21/0.39 thf(f25,plain,( 0.21/0.39 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (($true != (cF @ sK2 @ X2)) | ($true = (cD @ X3 @ X2 @ X0)) | ($true != (cF @ (sK5 @ (sK3 @ (sK1 @ X0)) @ X1) @ X3)) | ($true != $true)) )), 0.21/0.39 inference(superposition,[],[f21,f24])). 0.21/0.39 thf(f24,plain,( 0.21/0.39 ( ! [X0 : $i,X1 : $i] : (($true = (cD @ (sK5 @ (sK3 @ X0) @ X1) @ sK2 @ X0))) )), 0.21/0.39 inference(trivial_inequality_removal,[],[f23])). 0.21/0.39 thf(f23,plain,( 0.21/0.39 ( ! [X0 : $i,X1 : $i] : (($true = (cD @ (sK5 @ (sK3 @ X0) @ X1) @ sK2 @ X0)) | ($true != $true)) )), 0.21/0.39 inference(superposition,[],[f20,f17])). 0.21/0.39 thf(f17,plain,( 0.21/0.39 ( ! [X14 : $i,X12 : $i] : (($true = (cS @ X14 @ (sK5 @ X14 @ X12)))) )), 0.21/0.39 inference(cnf_transformation,[],[f16])). 0.21/0.39 thf(f20,plain,( 0.21/0.39 ( ! [X11 : $i,X9 : $i] : (($true != (cS @ (sK3 @ X9) @ X11)) | ($true = (cD @ X11 @ sK2 @ X9))) )), 0.21/0.39 inference(cnf_transformation,[],[f16])). 0.21/0.39 thf(f21,plain,( 0.21/0.39 ( ! [X2 : $i,X6 : $i,X7 : $i,X4 : $i,X5 : $i] : (($true != (cD @ X4 @ X5 @ (sK1 @ X2))) | ($true != (cF @ X5 @ X7)) | ($true = (cD @ X6 @ X7 @ X2)) | ($true != (cF @ X4 @ X6))) )), 0.21/0.39 inference(cnf_transformation,[],[f16])). 0.21/0.39 thf(f18,plain,( 0.21/0.39 ( ! [X14 : $i,X12 : $i] : (($true != (cD @ (sK6 @ X14 @ X12) @ X12 @ (sK4 @ X12)))) )), 0.21/0.39 inference(cnf_transformation,[],[f16])). 0.21/0.39 % SZS output end Proof for E---3.1_25396 0.21/0.39 % (25528)------------------------------ 0.21/0.39 % (25528)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.21/0.39 % (25528)Termination reason: Refutation 0.21/0.39 0.21/0.39 % (25528)Memory used [KB]: 5500 0.21/0.39 % (25528)Time elapsed: 0.010 s 0.21/0.39 % (25528)Instructions burned: 7 (million) 0.21/0.39 % (25528)------------------------------ 0.21/0.39 % (25528)------------------------------ 0.21/0.39 % (25525)Success in time 0.014 s 0.21/0.39 EOF