%------------------------------------------------------------------------------ % File : Otter---3.3 % Problem : NUM528+3 : TPTP v8.1.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : otter-tptp-script %s % Computer : n011.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jul 27 13:08:43 EDT 2022 % Result : Timeout 299.90s 300.06s % Output : None % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.01/0.12 % Problem : NUM528+3 : TPTP v8.1.0. Released v4.0.0. % 0.01/0.13 % Command : otter-tptp-script %s % 0.11/0.33 % Computer : n011.cluster.edu % 0.11/0.33 % Model : x86_64 x86_64 % 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.11/0.33 % Memory : 8042.1875MB % 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.11/0.34 % CPULimit : 300 % 0.11/0.34 % WCLimit : 300 % 0.11/0.34 % DateTime : Wed Jul 27 09:51:25 EDT 2022 % 0.11/0.34 % CPUTime : % 2.34/2.53 ----- Otter 3.3f, August 2004 ----- % 2.34/2.53 The process was started by sandbox2 on n011.cluster.edu, % 2.34/2.53 Wed Jul 27 09:51:26 2022 % 2.34/2.53 The command was "./otter". The process ID is 24849. % 2.34/2.53 % 2.34/2.53 set(prolog_style_variables). % 2.34/2.53 set(auto). % 2.34/2.53 dependent: set(auto1). % 2.34/2.53 dependent: set(process_input). % 2.34/2.53 dependent: clear(print_kept). % 2.34/2.53 dependent: clear(print_new_demod). % 2.34/2.53 dependent: clear(print_back_demod). % 2.34/2.53 dependent: clear(print_back_sub). % 2.34/2.53 dependent: set(control_memory). % 2.34/2.53 dependent: assign(max_mem, 12000). % 2.34/2.53 dependent: assign(pick_given_ratio, 4). % 2.34/2.53 dependent: assign(stats_level, 1). % 2.34/2.53 dependent: assign(max_seconds, 10800). % 2.34/2.53 clear(print_given). % 2.34/2.53 % 2.34/2.53 formula_list(usable). % 2.34/2.53 all A (A=A). % 2.34/2.53 all W0 (aNaturalNumber0(W0)->$T). % 2.34/2.53 aNaturalNumber0(sz00). % 2.34/2.53 aNaturalNumber0(sz10). % 2.34/2.53 sz10!=sz00. % 2.34/2.53 all W0 W1 (aNaturalNumber0(W0)&aNaturalNumber0(W1)->aNaturalNumber0(sdtpldt0(W0,W1))). % 2.34/2.53 all W0 W1 (aNaturalNumber0(W0)&aNaturalNumber0(W1)->aNaturalNumber0(sdtasdt0(W0,W1))). % 2.34/2.53 all W0 W1 (aNaturalNumber0(W0)&aNaturalNumber0(W1)->sdtpldt0(W0,W1)=sdtpldt0(W1,W0)). % 2.34/2.53 all W0 W1 W2 (aNaturalNumber0(W0)&aNaturalNumber0(W1)&aNaturalNumber0(W2)->sdtpldt0(sdtpldt0(W0,W1),W2)=sdtpldt0(W0,sdtpldt0(W1,W2))). % 2.34/2.53 all W0 (aNaturalNumber0(W0)->sdtpldt0(W0,sz00)=W0&W0=sdtpldt0(sz00,W0)). % 2.34/2.53 all W0 W1 (aNaturalNumber0(W0)&aNaturalNumber0(W1)->sdtasdt0(W0,W1)=sdtasdt0(W1,W0)). % 2.34/2.53 all W0 W1 W2 (aNaturalNumber0(W0)&aNaturalNumber0(W1)&aNaturalNumber0(W2)->sdtasdt0(sdtasdt0(W0,W1),W2)=sdtasdt0(W0,sdtasdt0(W1,W2))). % 2.34/2.53 all W0 (aNaturalNumber0(W0)->sdtasdt0(W0,sz10)=W0&W0=sdtasdt0(sz10,W0)). % 2.34/2.53 all W0 (aNaturalNumber0(W0)->sdtasdt0(W0,sz00)=sz00&sz00=sdtasdt0(sz00,W0)). % 2.34/2.53 all W0 W1 W2 (aNaturalNumber0(W0)&aNaturalNumber0(W1)&aNaturalNumber0(W2)->sdtasdt0(W0,sdtpldt0(W1,W2))=sdtpldt0(sdtasdt0(W0,W1),sdtasdt0(W0,W2))&sdtasdt0(sdtpldt0(W1,W2),W0)=sdtpldt0(sdtasdt0(W1,W0),sdtasdt0(W2,W0))). % 2.34/2.53 all W0 W1 W2 (aNaturalNumber0(W0)&aNaturalNumber0(W1)&aNaturalNumber0(W2)-> (sdtpldt0(W0,W1)=sdtpldt0(W0,W2)|sdtpldt0(W1,W0)=sdtpldt0(W2,W0)->W1=W2)). % 2.34/2.53 all W0 (aNaturalNumber0(W0)-> (W0!=sz00-> (all W1 W2 (aNaturalNumber0(W1)&aNaturalNumber0(W2)-> (sdtasdt0(W0,W1)=sdtasdt0(W0,W2)|sdtasdt0(W1,W0)=sdtasdt0(W2,W0)->W1=W2))))). % 2.34/2.53 all W0 W1 (aNaturalNumber0(W0)&aNaturalNumber0(W1)-> (sdtpldt0(W0,W1)=sz00->W0=sz00&W1=sz00)). % 2.34/2.53 all W0 W1 (aNaturalNumber0(W0)&aNaturalNumber0(W1)-> (sdtasdt0(W0,W1)=sz00->W0=sz00|W1=sz00)). % 2.34/2.53 all W0 W1 (aNaturalNumber0(W0)&aNaturalNumber0(W1)-> (sdtlse_qdt0(W0,W1)<-> (exists W2 (aNaturalNumber0(W2)&sdtpldt0(W0,W2)=W1)))). % 2.34/2.53 all W0 W1 (aNaturalNumber0(W0)&aNaturalNumber0(W1)-> (sdtlse_qdt0(W0,W1)-> (all W2 (W2=sdtmndt0(W1,W0)<->aNaturalNumber0(W2)&sdtpldt0(W0,W2)=W1)))). % 2.34/2.53 all W0 (aNaturalNumber0(W0)->sdtlse_qdt0(W0,W0)). % 2.34/2.53 all W0 W1 (aNaturalNumber0(W0)&aNaturalNumber0(W1)-> (sdtlse_qdt0(W0,W1)&sdtlse_qdt0(W1,W0)->W0=W1)). % 2.34/2.53 all W0 W1 W2 (aNaturalNumber0(W0)&aNaturalNumber0(W1)&aNaturalNumber0(W2)-> (sdtlse_qdt0(W0,W1)&sdtlse_qdt0(W1,W2)->sdtlse_qdt0(W0,W2))). % 2.34/2.53 all W0 W1 (aNaturalNumber0(W0)&aNaturalNumber0(W1)->sdtlse_qdt0(W0,W1)|W1!=W0&sdtlse_qdt0(W1,W0)). % 2.34/2.53 all W0 W1 (aNaturalNumber0(W0)&aNaturalNumber0(W1)-> (W0!=W1&sdtlse_qdt0(W0,W1)-> (all W2 (aNaturalNumber0(W2)->sdtpldt0(W2,W0)!=sdtpldt0(W2,W1)&sdtlse_qdt0(sdtpldt0(W2,W0),sdtpldt0(W2,W1))&sdtpldt0(W0,W2)!=sdtpldt0(W1,W2)&sdtlse_qdt0(sdtpldt0(W0,W2),sdtpldt0(W1,W2)))))). % 2.34/2.53 all W0 W1 W2 (aNaturalNumber0(W0)&aNaturalNumber0(W1)&aNaturalNumber0(W2)-> (W0!=sz00&W1!=W2&sdtlse_qdt0(W1,W2)->sdtasdt0(W0,W1)!=sdtasdt0(W0,W2)&sdtlse_qdt0(sdtasdt0(W0,W1),sdtasdt0(W0,W2))&sdtasdt0(W1,W0)!=sdtasdt0(W2,W0)&sdtlse_qdt0(sdtasdt0(W1,W0),sdtasdt0(W2,W0)))). % 2.34/2.53 all W0 (aNaturalNumber0(W0)->W0=sz00|W0=sz10|sz10!=W0&sdtlse_qdt0(sz10,W0)). % 2.34/2.53 all W0 W1 (aNaturalNumber0(W0)&aNaturalNumber0(W1)-> (W0!=sz00->sdtlse_qdt0(W1,sdtasdt0(W1,W0)))). % 2.34/2.53 all W0 W1 (aNaturalNumber0(W0)&aNaturalNumber0(W1)-> (iLess0(W0,W1)->$T)). % 2.34/2.53 all W0 W1 (aNaturalNumber0(W0)&aNaturalNumber0(W1)-> (W0!=W1&sdtlse_qdt0(W0,W1)->iLess0(W0,W1))). % 2.34/2.53 all W0 W1 (aNaturalNumber0(W0)&aNaturalNumber0(W1)-> (doDivides0(W0,W1)<-> (exists W2 (aNaturalNumber0(W2)&W1=sdtasdt0(W0,W2))))). % 2.34/2.53 all W0 W1 (aNaturalNumber0(W0)&aNaturalNumber0(W1)-> (W0!=sz00&doDivides0(W0,W1)-> (all W2 (W2=sdtsldt0(W1,W0)<->aNaturalNumber0(W2)&W1=sdtasdt0(W0,W2))))). % 2.34/2.53 all W0 W1 W2 (aNaturalNumber0(W0)&aNaturalNumber0(W1)&aNaturalNumber0(W2)-> (doDivides0(W0,W1)&doDivides0(W1,W2)->doDivides0(W0,W2))). % 2.34/2.53 all W0 W1 W2 (aNaturalNumber0(W0)&aNaturalNumber0(W1)&aNaturalNumber0(W2)-> (doDivides0(W0,W1)&doDivides0(W0,W2)->doDivides0(W0,sdtpldt0(W1,W2)))). % 2.34/2.53 all W0 W1 W2 (aNaturalNumber0(W0)&aNaturalNumber0(W1)&aNaturalNumber0(W2)-> (doDivides0(W0,W1)&doDivides0(W0,sdtpldt0(W1,W2))->doDivides0(W0,W2))). % 2.34/2.53 all W0 W1 (aNaturalNumber0(W0)&aNaturalNumber0(W1)-> (doDivides0(W0,W1)&W1!=sz00->sdtlse_qdt0(W0,W1))). % 2.34/2.53 all W0 W1 (aNaturalNumber0(W0)&aNaturalNumber0(W1)-> (W0!=sz00&doDivides0(W0,W1)-> (all W2 (aNaturalNumber0(W2)->sdtasdt0(W2,sdtsldt0(W1,W0))=sdtsldt0(sdtasdt0(W2,W1),W0))))). % 2.34/2.53 all W0 (aNaturalNumber0(W0)-> (isPrime0(W0)<->W0!=sz00&W0!=sz10& (all W1 (aNaturalNumber0(W1)&doDivides0(W1,W0)->W1=sz10|W1=W0)))). % 2.34/2.53 all W0 (aNaturalNumber0(W0)&W0!=sz00&W0!=sz10-> (exists W1 (aNaturalNumber0(W1)&doDivides0(W1,W0)&isPrime0(W1)))). % 2.34/2.53 all W0 W1 W2 (aNaturalNumber0(W0)&aNaturalNumber0(W1)&aNaturalNumber0(W2)-> (isPrime0(W2)&doDivides0(W2,sdtasdt0(W0,W1))->doDivides0(W2,W0)|doDivides0(W2,W1))). % 2.34/2.53 aNaturalNumber0(xn). % 2.34/2.53 aNaturalNumber0(xm). % 2.34/2.53 aNaturalNumber0(xp). % 2.34/2.53 xn!=sz00. % 2.34/2.53 xm!=sz00. % 2.34/2.53 xp!=sz00. % 2.34/2.53 all W0 W1 W2 (aNaturalNumber0(W0)&aNaturalNumber0(W1)&aNaturalNumber0(W2)&W0!=sz00&W1!=sz00&W2!=sz00-> (sdtasdt0(W2,sdtasdt0(W1,W1))=sdtasdt0(W0,W0)-> (iLess0(W0,xn)-> -(W2!=sz10& (all W3 (aNaturalNumber0(W3)& (exists W4 (aNaturalNumber0(W4)&W2=sdtasdt0(W3,W4)))&doDivides0(W3,W2)->W3=sz10|W3=W2))|isPrime0(W2))))). % 2.34/2.53 sdtasdt0(xp,sdtasdt0(xm,xm))=sdtasdt0(xn,xn). % 2.34/2.53 xp!=sz10. % 2.34/2.53 all W0 (aNaturalNumber0(W0)& ((exists W1 (aNaturalNumber0(W1)&xp=sdtasdt0(W0,W1)))|doDivides0(W0,xp))->W0=sz10|W0=xp). % 2.34/2.53 isPrime0(xp). % 2.34/2.53 exists W0 (aNaturalNumber0(W0)&sdtasdt0(xn,xn)=sdtasdt0(xp,W0)). % 2.34/2.53 doDivides0(xp,sdtasdt0(xn,xn)). % 2.34/2.53 exists W0 (aNaturalNumber0(W0)&xn=sdtasdt0(xp,W0)). % 2.34/2.53 doDivides0(xp,xn). % 2.34/2.53 aNaturalNumber0(xq). % 2.34/2.53 xn=sdtasdt0(xp,xq). % 2.34/2.53 xq=sdtsldt0(xn,xp). % 2.34/2.53 sdtasdt0(xm,xm)=sdtasdt0(xp,sdtasdt0(xq,xq)). % 2.34/2.53 (exists W0 (aNaturalNumber0(W0)&sdtpldt0(xn,W0)=xm))|sdtlse_qdt0(xn,xm)-> (exists W0 (aNaturalNumber0(W0)&sdtpldt0(sdtasdt0(xn,xn),W0)=sdtasdt0(xm,xm)))&sdtlse_qdt0(sdtasdt0(xn,xn),sdtasdt0(xm,xm)). % 2.34/2.53 -(xm!=xn& ((exists W0 (aNaturalNumber0(W0)&sdtpldt0(xm,W0)=xn))|sdtlse_qdt0(xm,xn))). % 2.34/2.53 end_of_list. % 2.34/2.53 % 2.34/2.53 -------> usable clausifies to: % 2.34/2.53 % 2.34/2.53 list(usable). % 2.34/2.53 0 [] A=A. % 2.34/2.53 0 [] -aNaturalNumber0(W0)|$T. % 2.34/2.53 0 [] aNaturalNumber0(sz00). % 2.34/2.53 0 [] aNaturalNumber0(sz10). % 2.34/2.53 0 [] sz10!=sz00. % 2.34/2.53 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)|aNaturalNumber0(sdtpldt0(W0,W1)). % 2.34/2.53 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)|aNaturalNumber0(sdtasdt0(W0,W1)). % 2.34/2.53 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)|sdtpldt0(W0,W1)=sdtpldt0(W1,W0). % 2.34/2.53 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)| -aNaturalNumber0(W2)|sdtpldt0(sdtpldt0(W0,W1),W2)=sdtpldt0(W0,sdtpldt0(W1,W2)). % 2.34/2.53 0 [] -aNaturalNumber0(W0)|sdtpldt0(W0,sz00)=W0. % 2.34/2.53 0 [] -aNaturalNumber0(W0)|W0=sdtpldt0(sz00,W0). % 2.34/2.53 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)|sdtasdt0(W0,W1)=sdtasdt0(W1,W0). % 2.34/2.53 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)| -aNaturalNumber0(W2)|sdtasdt0(sdtasdt0(W0,W1),W2)=sdtasdt0(W0,sdtasdt0(W1,W2)). % 2.34/2.53 0 [] -aNaturalNumber0(W0)|sdtasdt0(W0,sz10)=W0. % 2.34/2.53 0 [] -aNaturalNumber0(W0)|W0=sdtasdt0(sz10,W0). % 2.34/2.53 0 [] -aNaturalNumber0(W0)|sdtasdt0(W0,sz00)=sz00. % 2.34/2.53 0 [] -aNaturalNumber0(W0)|sz00=sdtasdt0(sz00,W0). % 2.34/2.53 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)| -aNaturalNumber0(W2)|sdtasdt0(W0,sdtpldt0(W1,W2))=sdtpldt0(sdtasdt0(W0,W1),sdtasdt0(W0,W2)). % 2.34/2.53 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)| -aNaturalNumber0(W2)|sdtasdt0(sdtpldt0(W1,W2),W0)=sdtpldt0(sdtasdt0(W1,W0),sdtasdt0(W2,W0)). % 2.34/2.53 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)| -aNaturalNumber0(W2)|sdtpldt0(W0,W1)!=sdtpldt0(W0,W2)|W1=W2. % 2.34/2.53 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)| -aNaturalNumber0(W2)|sdtpldt0(W1,W0)!=sdtpldt0(W2,W0)|W1=W2. % 2.34/2.53 0 [] -aNaturalNumber0(W0)|W0=sz00| -aNaturalNumber0(W1)| -aNaturalNumber0(W2)|sdtasdt0(W0,W1)!=sdtasdt0(W0,W2)|W1=W2. % 2.34/2.53 0 [] -aNaturalNumber0(W0)|W0=sz00| -aNaturalNumber0(W1)| -aNaturalNumber0(W2)|sdtasdt0(W1,W0)!=sdtasdt0(W2,W0)|W1=W2. % 2.34/2.53 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)|sdtpldt0(W0,W1)!=sz00|W0=sz00. % 2.34/2.53 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)|sdtpldt0(W0,W1)!=sz00|W1=sz00. % 2.34/2.53 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)|sdtasdt0(W0,W1)!=sz00|W0=sz00|W1=sz00. % 2.34/2.53 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)| -sdtlse_qdt0(W0,W1)|aNaturalNumber0($f1(W0,W1)). % 2.34/2.53 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)| -sdtlse_qdt0(W0,W1)|sdtpldt0(W0,$f1(W0,W1))=W1. % 2.34/2.53 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)|sdtlse_qdt0(W0,W1)| -aNaturalNumber0(W2)|sdtpldt0(W0,W2)!=W1. % 2.34/2.53 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)| -sdtlse_qdt0(W0,W1)|W2!=sdtmndt0(W1,W0)|aNaturalNumber0(W2). % 2.34/2.53 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)| -sdtlse_qdt0(W0,W1)|W2!=sdtmndt0(W1,W0)|sdtpldt0(W0,W2)=W1. % 2.34/2.53 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)| -sdtlse_qdt0(W0,W1)|W2=sdtmndt0(W1,W0)| -aNaturalNumber0(W2)|sdtpldt0(W0,W2)!=W1. % 2.34/2.53 0 [] -aNaturalNumber0(W0)|sdtlse_qdt0(W0,W0). % 2.34/2.53 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)| -sdtlse_qdt0(W0,W1)| -sdtlse_qdt0(W1,W0)|W0=W1. % 2.34/2.53 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)| -aNaturalNumber0(W2)| -sdtlse_qdt0(W0,W1)| -sdtlse_qdt0(W1,W2)|sdtlse_qdt0(W0,W2). % 2.34/2.53 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)|sdtlse_qdt0(W0,W1)|W1!=W0. % 2.34/2.53 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)|sdtlse_qdt0(W0,W1)|sdtlse_qdt0(W1,W0). % 2.34/2.53 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)|W0=W1| -sdtlse_qdt0(W0,W1)| -aNaturalNumber0(W2)|sdtpldt0(W2,W0)!=sdtpldt0(W2,W1). % 2.34/2.53 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)|W0=W1| -sdtlse_qdt0(W0,W1)| -aNaturalNumber0(W2)|sdtlse_qdt0(sdtpldt0(W2,W0),sdtpldt0(W2,W1)). % 2.34/2.53 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)|W0=W1| -sdtlse_qdt0(W0,W1)| -aNaturalNumber0(W2)|sdtpldt0(W0,W2)!=sdtpldt0(W1,W2). % 2.34/2.53 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)|W0=W1| -sdtlse_qdt0(W0,W1)| -aNaturalNumber0(W2)|sdtlse_qdt0(sdtpldt0(W0,W2),sdtpldt0(W1,W2)). % 2.34/2.53 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)| -aNaturalNumber0(W2)|W0=sz00|W1=W2| -sdtlse_qdt0(W1,W2)|sdtasdt0(W0,W1)!=sdtasdt0(W0,W2). % 2.34/2.53 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)| -aNaturalNumber0(W2)|W0=sz00|W1=W2| -sdtlse_qdt0(W1,W2)|sdtlse_qdt0(sdtasdt0(W0,W1),sdtasdt0(W0,W2)). % 2.34/2.53 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)| -aNaturalNumber0(W2)|W0=sz00|W1=W2| -sdtlse_qdt0(W1,W2)|sdtasdt0(W1,W0)!=sdtasdt0(W2,W0). % 2.34/2.53 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)| -aNaturalNumber0(W2)|W0=sz00|W1=W2| -sdtlse_qdt0(W1,W2)|sdtlse_qdt0(sdtasdt0(W1,W0),sdtasdt0(W2,W0)). % 2.34/2.53 0 [] -aNaturalNumber0(W0)|W0=sz00|W0=sz10|sz10!=W0. % 2.34/2.53 0 [] -aNaturalNumber0(W0)|W0=sz00|W0=sz10|sdtlse_qdt0(sz10,W0). % 2.34/2.53 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)|W0=sz00|sdtlse_qdt0(W1,sdtasdt0(W1,W0)). % 2.34/2.53 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)| -iLess0(W0,W1)|$T. % 2.34/2.53 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)|W0=W1| -sdtlse_qdt0(W0,W1)|iLess0(W0,W1). % 2.34/2.53 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)| -doDivides0(W0,W1)|aNaturalNumber0($f2(W0,W1)). % 2.34/2.53 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)| -doDivides0(W0,W1)|W1=sdtasdt0(W0,$f2(W0,W1)). % 2.34/2.53 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)|doDivides0(W0,W1)| -aNaturalNumber0(W2)|W1!=sdtasdt0(W0,W2). % 2.34/2.53 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)|W0=sz00| -doDivides0(W0,W1)|W2!=sdtsldt0(W1,W0)|aNaturalNumber0(W2). % 2.34/2.53 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)|W0=sz00| -doDivides0(W0,W1)|W2!=sdtsldt0(W1,W0)|W1=sdtasdt0(W0,W2). % 2.34/2.53 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)|W0=sz00| -doDivides0(W0,W1)|W2=sdtsldt0(W1,W0)| -aNaturalNumber0(W2)|W1!=sdtasdt0(W0,W2). % 2.34/2.53 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)| -aNaturalNumber0(W2)| -doDivides0(W0,W1)| -doDivides0(W1,W2)|doDivides0(W0,W2). % 2.34/2.53 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)| -aNaturalNumber0(W2)| -doDivides0(W0,W1)| -doDivides0(W0,W2)|doDivides0(W0,sdtpldt0(W1,W2)). % 2.34/2.53 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)| -aNaturalNumber0(W2)| -doDivides0(W0,W1)| -doDivides0(W0,sdtpldt0(W1,W2))|doDivides0(W0,W2). % 2.34/2.53 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)| -doDivides0(W0,W1)|W1=sz00|sdtlse_qdt0(W0,W1). % 2.34/2.53 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)|W0=sz00| -doDivides0(W0,W1)| -aNaturalNumber0(W2)|sdtasdt0(W2,sdtsldt0(W1,W0))=sdtsldt0(sdtasdt0(W2,W1),W0). % 2.34/2.53 0 [] -aNaturalNumber0(W0)| -isPrime0(W0)|W0!=sz00. % 2.34/2.53 0 [] -aNaturalNumber0(W0)| -isPrime0(W0)|W0!=sz10. % 2.34/2.53 0 [] -aNaturalNumber0(W0)| -isPrime0(W0)| -aNaturalNumber0(W1)| -doDivides0(W1,W0)|W1=sz10|W1=W0. % 2.34/2.53 0 [] -aNaturalNumber0(W0)|isPrime0(W0)|W0=sz00|W0=sz10|aNaturalNumber0($f3(W0)). % 2.34/2.53 0 [] -aNaturalNumber0(W0)|isPrime0(W0)|W0=sz00|W0=sz10|doDivides0($f3(W0),W0). % 2.34/2.53 0 [] -aNaturalNumber0(W0)|isPrime0(W0)|W0=sz00|W0=sz10|$f3(W0)!=sz10. % 2.34/2.53 0 [] -aNaturalNumber0(W0)|isPrime0(W0)|W0=sz00|W0=sz10|$f3(W0)!=W0. % 2.34/2.53 0 [] -aNaturalNumber0(W0)|W0=sz00|W0=sz10|aNaturalNumber0($f4(W0)). % 2.34/2.53 0 [] -aNaturalNumber0(W0)|W0=sz00|W0=sz10|doDivides0($f4(W0),W0). % 2.34/2.53 0 [] -aNaturalNumber0(W0)|W0=sz00|W0=sz10|isPrime0($f4(W0)). % 2.34/2.53 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)| -aNaturalNumber0(W2)| -isPrime0(W2)| -doDivides0(W2,sdtasdt0(W0,W1))|doDivides0(W2,W0)|doDivides0(W2,W1). % 2.34/2.53 0 [] aNaturalNumber0(xn). % 2.34/2.53 0 [] aNaturalNumber0(xm). % 2.34/2.53 0 [] aNaturalNumber0(xp). % 2.34/2.53 0 [] xn!=sz00. % 2.34/2.53 0 [] xm!=sz00. % 2.34/2.53 0 [] xp!=sz00. % 2.34/2.53 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)| -aNaturalNumber0(W2)|W0=sz00|W1=sz00|W2=sz00|sdtasdt0(W2,sdtasdt0(W1,W1))!=sdtasdt0(W0,W0)| -iLess0(W0,xn)|W2=sz10|aNaturalNumber0($f6(W0,W1,W2)). % 2.34/2.53 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)| -aNaturalNumber0(W2)|W0=sz00|W1=sz00|W2=sz00|sdtasdt0(W2,sdtasdt0(W1,W1))!=sdtasdt0(W0,W0)| -iLess0(W0,xn)|W2=sz10|aNaturalNumber0($f5(W0,W1,W2)). % 2.34/2.53 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)| -aNaturalNumber0(W2)|W0=sz00|W1=sz00|W2=sz00|sdtasdt0(W2,sdtasdt0(W1,W1))!=sdtasdt0(W0,W0)| -iLess0(W0,xn)|W2=sz10|W2=sdtasdt0($f6(W0,W1,W2),$f5(W0,W1,W2)). % 2.34/2.53 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)| -aNaturalNumber0(W2)|W0=sz00|W1=sz00|W2=sz00|sdtasdt0(W2,sdtasdt0(W1,W1))!=sdtasdt0(W0,W0)| -iLess0(W0,xn)|W2=sz10|doDivides0($f6(W0,W1,W2),W2). % 2.34/2.53 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)| -aNaturalNumber0(W2)|W0=sz00|W1=sz00|W2=sz00|sdtasdt0(W2,sdtasdt0(W1,W1))!=sdtasdt0(W0,W0)| -iLess0(W0,xn)|W2=sz10|$f6(W0,W1,W2)!=sz10. % 2.34/2.53 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)| -aNaturalNumber0(W2)|W0=sz00|W1=sz00|W2=sz00|sdtasdt0(W2,sdtasdt0(W1,W1))!=sdtasdt0(W0,W0)| -iLess0(W0,xn)|W2=sz10|$f6(W0,W1,W2)!=W2. % 2.34/2.53 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)| -aNaturalNumber0(W2)|W0=sz00|W1=sz00|W2=sz00|sdtasdt0(W2,sdtasdt0(W1,W1))!=sdtasdt0(W0,W0)| -iLess0(W0,xn)| -isPrime0(W2). % 2.34/2.53 0 [] sdtasdt0(xp,sdtasdt0(xm,xm))=sdtasdt0(xn,xn). % 2.34/2.53 0 [] xp!=sz10. % 2.34/2.53 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)|xp!=sdtasdt0(W0,W1)|W0=sz10|W0=xp. % 2.34/2.53 0 [] -aNaturalNumber0(W0)| -doDivides0(W0,xp)|W0=sz10|W0=xp. % 2.34/2.53 0 [] isPrime0(xp). % 2.34/2.53 0 [] aNaturalNumber0($c1). % 2.34/2.53 0 [] sdtasdt0(xn,xn)=sdtasdt0(xp,$c1). % 2.34/2.53 0 [] doDivides0(xp,sdtasdt0(xn,xn)). % 2.34/2.53 0 [] aNaturalNumber0($c2). % 2.34/2.53 0 [] xn=sdtasdt0(xp,$c2). % 2.34/2.53 0 [] doDivides0(xp,xn). % 2.34/2.53 0 [] aNaturalNumber0(xq). % 2.34/2.53 0 [] xn=sdtasdt0(xp,xq). % 2.34/2.53 0 [] xq=sdtsldt0(xn,xp). % 2.34/2.53 0 [] sdtasdt0(xm,xm)=sdtasdt0(xp,sdtasdt0(xq,xq)). % 2.34/2.53 0 [] -aNaturalNumber0(W0)|sdtpldt0(xn,W0)!=xm|aNaturalNumber0($c3). % 2.34/2.53 0 [] -aNaturalNumber0(W0)|sdtpldt0(xn,W0)!=xm|sdtpldt0(sdtasdt0(xn,xn),$c3)=sdtasdt0(xm,xm). % 2.34/2.53 0 [] -aNaturalNumber0(W0)|sdtpldt0(xn,W0)!=xm|sdtlse_qdt0(sdtasdt0(xn,xn),sdtasdt0(xm,xm)). % 2.34/2.53 0 [] -sdtlse_qdt0(xn,xm)|aNaturalNumber0($c3). % 2.34/2.53 0 [] -sdtlse_qdt0(xn,xm)|sdtpldt0(sdtasdt0(xn,xn),$c3)=sdtasdt0(xm,xm). % 2.34/2.53 0 [] -sdtlse_qdt0(xn,xm)|sdtlse_qdt0(sdtasdt0(xn,xn),sdtasdt0(xm,xm)). % 2.34/2.53 0 [] xm=xn| -aNaturalNumber0(W0)|sdtpldt0(xm,W0)!=xn. % 2.34/2.53 0 [] xm=xn| -sdtlse_qdt0(xm,xn). % 2.34/2.53 end_of_list. % 2.34/2.53 % 2.34/2.53 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=10. % 2.34/2.53 % 2.34/2.53 This ia a non-Horn set with equality. The strategy will be % 2.34/2.53 Knuth-Bendix, ordered hyper_res, factoring, and unit % 2.34/2.53 deletion, with positive clauses in sos and nonpositive % 2.34/2.53 clauses in usable. % 2.34/2.53 % 2.34/2.53 dependent: set(knuth_bendix). % 2.34/2.53 dependent: set(anl_eq). % 2.34/2.53 dependent: set(para_from). % 2.34/2.53 dependent: set(para_into). % 2.34/2.53 dependent: clear(para_from_right). % 2.34/2.53 dependent: clear(para_into_right). % 2.34/2.53 dependent: set(para_from_vars). % 2.34/2.53 dependent: set(eq_units_both_ways). % 2.34/2.53 dependent: set(dynamic_demod_all). % 2.34/2.53 dependent: set(dynamic_demod). % 2.34/2.54 dependent: set(order_eq). % 2.34/2.54 dependent: set(back_demod). % 2.34/2.54 dependent: set(lrpo). % 2.34/2.54 dependent: set(hyper_res). % 2.34/2.54 dependent: set(unit_deletion). % 2.34/2.54 dependent: set(factor). % 2.34/2.54 % 2.34/2.54 ------------> process usable: % 2.34/2.54 ** KEPT (pick-wt=3): 1 [] sz10!=sz00. % 2.34/2.54 ** KEPT (pick-wt=8): 2 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)|aNaturalNumber0(sdtpldt0(A,B)). % 2.34/2.54 ** KEPT (pick-wt=8): 3 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)|aNaturalNumber0(sdtasdt0(A,B)). % 2.34/2.54 ** KEPT (pick-wt=11): 4 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)|sdtpldt0(A,B)=sdtpldt0(B,A). % 2.34/2.54 ** KEPT (pick-wt=17): 5 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)| -aNaturalNumber0(C)|sdtpldt0(sdtpldt0(A,B),C)=sdtpldt0(A,sdtpldt0(B,C)). % 2.34/2.54 ** KEPT (pick-wt=7): 6 [] -aNaturalNumber0(A)|sdtpldt0(A,sz00)=A. % 2.34/2.54 ** KEPT (pick-wt=7): 8 [copy,7,flip.2] -aNaturalNumber0(A)|sdtpldt0(sz00,A)=A. % 2.34/2.54 ** KEPT (pick-wt=11): 9 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)|sdtasdt0(A,B)=sdtasdt0(B,A). % 2.34/2.54 ** KEPT (pick-wt=17): 10 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)| -aNaturalNumber0(C)|sdtasdt0(sdtasdt0(A,B),C)=sdtasdt0(A,sdtasdt0(B,C)). % 2.34/2.54 ** KEPT (pick-wt=7): 11 [] -aNaturalNumber0(A)|sdtasdt0(A,sz10)=A. % 2.34/2.54 ** KEPT (pick-wt=7): 13 [copy,12,flip.2] -aNaturalNumber0(A)|sdtasdt0(sz10,A)=A. % 2.34/2.54 ** KEPT (pick-wt=7): 14 [] -aNaturalNumber0(A)|sdtasdt0(A,sz00)=sz00. % 2.34/2.54 ** KEPT (pick-wt=7): 16 [copy,15,flip.2] -aNaturalNumber0(A)|sdtasdt0(sz00,A)=sz00. % 2.34/2.54 ** KEPT (pick-wt=19): 18 [copy,17,flip.4] -aNaturalNumber0(A)| -aNaturalNumber0(B)| -aNaturalNumber0(C)|sdtpldt0(sdtasdt0(A,B),sdtasdt0(A,C))=sdtasdt0(A,sdtpldt0(B,C)). % 2.34/2.54 ** KEPT (pick-wt=19): 20 [copy,19,flip.4] -aNaturalNumber0(A)| -aNaturalNumber0(B)| -aNaturalNumber0(C)|sdtpldt0(sdtasdt0(B,A),sdtasdt0(C,A))=sdtasdt0(sdtpldt0(B,C),A). % 2.34/2.54 ** KEPT (pick-wt=16): 21 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)| -aNaturalNumber0(C)|sdtpldt0(A,B)!=sdtpldt0(A,C)|B=C. % 2.34/2.54 ** KEPT (pick-wt=16): 22 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)| -aNaturalNumber0(C)|sdtpldt0(B,A)!=sdtpldt0(C,A)|B=C. % 2.34/2.54 ** KEPT (pick-wt=19): 23 [] -aNaturalNumber0(A)|A=sz00| -aNaturalNumber0(B)| -aNaturalNumber0(C)|sdtasdt0(A,B)!=sdtasdt0(A,C)|B=C. % 2.34/2.54 ** KEPT (pick-wt=19): 24 [] -aNaturalNumber0(A)|A=sz00| -aNaturalNumber0(B)| -aNaturalNumber0(C)|sdtasdt0(B,A)!=sdtasdt0(C,A)|B=C. % 2.34/2.54 ** KEPT (pick-wt=12): 25 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)|sdtpldt0(A,B)!=sz00|A=sz00. % 2.34/2.54 ** KEPT (pick-wt=12): 26 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)|sdtpldt0(A,B)!=sz00|B=sz00. % 2.34/2.54 ** KEPT (pick-wt=15): 27 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)|sdtasdt0(A,B)!=sz00|A=sz00|B=sz00. % 2.34/2.54 ** KEPT (pick-wt=11): 28 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)| -sdtlse_qdt0(A,B)|aNaturalNumber0($f1(A,B)). % 2.34/2.54 ** KEPT (pick-wt=14): 29 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)| -sdtlse_qdt0(A,B)|sdtpldt0(A,$f1(A,B))=B. % 2.34/2.54 ** KEPT (pick-wt=14): 30 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)|sdtlse_qdt0(A,B)| -aNaturalNumber0(C)|sdtpldt0(A,C)!=B. % 2.34/2.54 ** KEPT (pick-wt=14): 31 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)| -sdtlse_qdt0(A,B)|C!=sdtmndt0(B,A)|aNaturalNumber0(C). % 2.34/2.54 ** KEPT (pick-wt=17): 32 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)| -sdtlse_qdt0(A,B)|C!=sdtmndt0(B,A)|sdtpldt0(A,C)=B. % 2.34/2.54 ** KEPT (pick-wt=19): 33 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)| -sdtlse_qdt0(A,B)|C=sdtmndt0(B,A)| -aNaturalNumber0(C)|sdtpldt0(A,C)!=B. % 2.34/2.54 ** KEPT (pick-wt=5): 34 [] -aNaturalNumber0(A)|sdtlse_qdt0(A,A). % 2.34/2.54 ** KEPT (pick-wt=13): 35 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)| -sdtlse_qdt0(A,B)| -sdtlse_qdt0(B,A)|A=B. % 2.34/2.54 ** KEPT (pick-wt=15): 36 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)| -aNaturalNumber0(C)| -sdtlse_qdt0(A,B)| -sdtlse_qdt0(B,C)|sdtlse_qdt0(A,C). % 2.34/2.54 ** KEPT (pick-wt=10): 37 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)|sdtlse_qdt0(A,B)|B!=A. % 2.34/2.54 ** KEPT (pick-wt=10): 38 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)|sdtlse_qdt0(A,B)|sdtlse_qdt0(B,A). % 2.34/2.54 Following clause subsumed by 21 during input processing: 0 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)|A=B| -sdtlse_qdt0(A,B)| -aNaturalNumber0(C)|sdtpldt0(C,A)!=sdtpldt0(C,B). % 2.34/2.54 ** KEPT (pick-wt=19): 39 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)|A=B| -sdtlse_qdt0(A,B)| -aNaturalNumber0(C)|sdtlse_qdt0(sdtpldt0(C,A),sdtpldt0(C,B)). % 2.34/2.59 Following clause subsumed by 22 during input processing: 0 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)|A=B| -sdtlse_qdt0(A,B)| -aNaturalNumber0(C)|sdtpldt0(A,C)!=sdtpldt0(B,C). % 2.34/2.59 ** KEPT (pick-wt=19): 40 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)|A=B| -sdtlse_qdt0(A,B)| -aNaturalNumber0(C)|sdtlse_qdt0(sdtpldt0(A,C),sdtpldt0(B,C)). % 2.34/2.59 Following clause subsumed by 23 during input processing: 0 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)| -aNaturalNumber0(C)|A=sz00|B=C| -sdtlse_qdt0(B,C)|sdtasdt0(A,B)!=sdtasdt0(A,C). % 2.34/2.59 ** KEPT (pick-wt=22): 41 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)| -aNaturalNumber0(C)|A=sz00|B=C| -sdtlse_qdt0(B,C)|sdtlse_qdt0(sdtasdt0(A,B),sdtasdt0(A,C)). % 2.34/2.59 Following clause subsumed by 24 during input processing: 0 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)| -aNaturalNumber0(C)|A=sz00|B=C| -sdtlse_qdt0(B,C)|sdtasdt0(B,A)!=sdtasdt0(C,A). % 2.34/2.59 ** KEPT (pick-wt=22): 42 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)| -aNaturalNumber0(C)|A=sz00|B=C| -sdtlse_qdt0(B,C)|sdtlse_qdt0(sdtasdt0(B,A),sdtasdt0(C,A)). % 2.34/2.59 ** KEPT (pick-wt=11): 43 [] -aNaturalNumber0(A)|A=sz00|A=sz10|sz10!=A. % 2.34/2.59 ** KEPT (pick-wt=11): 44 [] -aNaturalNumber0(A)|A=sz00|A=sz10|sdtlse_qdt0(sz10,A). % 2.34/2.59 ** KEPT (pick-wt=12): 45 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)|A=sz00|sdtlse_qdt0(B,sdtasdt0(B,A)). % 2.34/2.59 ** KEPT (pick-wt=13): 46 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)|A=B| -sdtlse_qdt0(A,B)|iLess0(A,B). % 2.34/2.59 ** KEPT (pick-wt=11): 47 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)| -doDivides0(A,B)|aNaturalNumber0($f2(A,B)). % 2.34/2.59 ** KEPT (pick-wt=14): 49 [copy,48,flip.4] -aNaturalNumber0(A)| -aNaturalNumber0(B)| -doDivides0(A,B)|sdtasdt0(A,$f2(A,B))=B. % 2.34/2.59 ** KEPT (pick-wt=14): 50 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)|doDivides0(A,B)| -aNaturalNumber0(C)|B!=sdtasdt0(A,C). % 2.34/2.59 ** KEPT (pick-wt=17): 51 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)|A=sz00| -doDivides0(A,B)|C!=sdtsldt0(B,A)|aNaturalNumber0(C). % 2.34/2.59 ** KEPT (pick-wt=20): 52 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)|A=sz00| -doDivides0(A,B)|C!=sdtsldt0(B,A)|B=sdtasdt0(A,C). % 2.34/2.59 ** KEPT (pick-wt=22): 53 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)|A=sz00| -doDivides0(A,B)|C=sdtsldt0(B,A)| -aNaturalNumber0(C)|B!=sdtasdt0(A,C). % 2.34/2.59 ** KEPT (pick-wt=15): 54 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)| -aNaturalNumber0(C)| -doDivides0(A,B)| -doDivides0(B,C)|doDivides0(A,C). % 2.34/2.59 ** KEPT (pick-wt=17): 55 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)| -aNaturalNumber0(C)| -doDivides0(A,B)| -doDivides0(A,C)|doDivides0(A,sdtpldt0(B,C)). % 2.34/2.59 ** KEPT (pick-wt=17): 56 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)| -aNaturalNumber0(C)| -doDivides0(A,B)| -doDivides0(A,sdtpldt0(B,C))|doDivides0(A,C). % 2.34/2.59 ** KEPT (pick-wt=13): 57 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)| -doDivides0(A,B)|B=sz00|sdtlse_qdt0(A,B). % 2.34/2.59 ** KEPT (pick-wt=23): 59 [copy,58,flip.6] -aNaturalNumber0(A)| -aNaturalNumber0(B)|A=sz00| -doDivides0(A,B)| -aNaturalNumber0(C)|sdtsldt0(sdtasdt0(C,B),A)=sdtasdt0(C,sdtsldt0(B,A)). % 2.34/2.59 ** KEPT (pick-wt=7): 60 [] -aNaturalNumber0(A)| -isPrime0(A)|A!=sz00. % 2.34/2.59 ** KEPT (pick-wt=7): 61 [] -aNaturalNumber0(A)| -isPrime0(A)|A!=sz10. % 2.34/2.59 ** KEPT (pick-wt=15): 62 [] -aNaturalNumber0(A)| -isPrime0(A)| -aNaturalNumber0(B)| -doDivides0(B,A)|B=sz10|B=A. % 2.34/2.59 ** KEPT (pick-wt=13): 63 [] -aNaturalNumber0(A)|isPrime0(A)|A=sz00|A=sz10|aNaturalNumber0($f3(A)). % 2.34/2.59 ** KEPT (pick-wt=14): 64 [] -aNaturalNumber0(A)|isPrime0(A)|A=sz00|A=sz10|doDivides0($f3(A),A). % 2.34/2.59 ** KEPT (pick-wt=14): 65 [] -aNaturalNumber0(A)|isPrime0(A)|A=sz00|A=sz10|$f3(A)!=sz10. % 2.34/2.59 ** KEPT (pick-wt=14): 66 [] -aNaturalNumber0(A)|isPrime0(A)|A=sz00|A=sz10|$f3(A)!=A. % 2.34/2.59 ** KEPT (pick-wt=11): 67 [] -aNaturalNumber0(A)|A=sz00|A=sz10|aNaturalNumber0($f4(A)). % 2.34/2.59 ** KEPT (pick-wt=12): 68 [] -aNaturalNumber0(A)|A=sz00|A=sz10|doDivides0($f4(A),A). % 2.34/2.59 ** KEPT (pick-wt=11): 69 [] -aNaturalNumber0(A)|A=sz00|A=sz10|isPrime0($f4(A)). % 2.34/2.59 ** KEPT (pick-wt=19): 70 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)| -aNaturalNumber0(C)| -isPrime0(C)| -doDivides0(C,sdtasdt0(A,B))|doDivides0(C,A)|doDivides0(C,B). % 2.34/2.59 ** KEPT (pick-wt=3): 71 [] xn!=sz00. % 2.34/2.59 ** KEPT (pick-wt=3): 72 [] xm!=sz00. % 2.34/2.59 ** KEPT (pick-wt=3): 73 [] xp!=sz00. % 2.34/2.59 ** KEPT (pick-wt=35): 74 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)| -aNaturalNumber0(C)|A=sz00|B=sz00|C=sz00|sdtasdt0(C,sdtasdt0(B,B))!=sdtasdt0(A,A)| -iLess0(A,xn)|C=sz10|aNaturalNumber0($f6(A,B,C)). % 2.34/2.59 ** KEPT (pick-wt=35): 75 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)| -aNaturalNumber0(C)|A=sz00|B=sz00|C=sz00|sdtasdt0(C,sdtasdt0(B,B))!=sdtasdt0(A,A)| -iLess0(A,xn)|C=sz10|aNaturalNumber0($f5(A,B,C)). % 2.34/2.59 ** KEPT (pick-wt=41): 77 [copy,76,flip.10] -aNaturalNumber0(A)| -aNaturalNumber0(B)| -aNaturalNumber0(C)|A=sz00|B=sz00|C=sz00|sdtasdt0(C,sdtasdt0(B,B))!=sdtasdt0(A,A)| -iLess0(A,xn)|C=sz10|sdtasdt0($f6(A,B,C),$f5(A,B,C))=C. % 2.34/2.59 ** KEPT (pick-wt=36): 78 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)| -aNaturalNumber0(C)|A=sz00|B=sz00|C=sz00|sdtasdt0(C,sdtasdt0(B,B))!=sdtasdt0(A,A)| -iLess0(A,xn)|C=sz10|doDivides0($f6(A,B,C),C). % 2.34/2.59 ** KEPT (pick-wt=36): 79 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)| -aNaturalNumber0(C)|A=sz00|B=sz00|C=sz00|sdtasdt0(C,sdtasdt0(B,B))!=sdtasdt0(A,A)| -iLess0(A,xn)|C=sz10|$f6(A,B,C)!=sz10. % 2.34/2.59 ** KEPT (pick-wt=36): 80 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)| -aNaturalNumber0(C)|A=sz00|B=sz00|C=sz00|sdtasdt0(C,sdtasdt0(B,B))!=sdtasdt0(A,A)| -iLess0(A,xn)|C=sz10|$f6(A,B,C)!=C. % 2.34/2.59 ** KEPT (pick-wt=29): 81 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)| -aNaturalNumber0(C)|A=sz00|B=sz00|C=sz00|sdtasdt0(C,sdtasdt0(B,B))!=sdtasdt0(A,A)| -iLess0(A,xn)| -isPrime0(C). % 2.34/2.59 ** KEPT (pick-wt=3): 82 [] xp!=sz10. % 2.34/2.59 ** KEPT (pick-wt=15): 84 [copy,83,flip.3] -aNaturalNumber0(A)| -aNaturalNumber0(B)|sdtasdt0(A,B)!=xp|A=sz10|A=xp. % 2.34/2.59 ** KEPT (pick-wt=11): 85 [] -aNaturalNumber0(A)| -doDivides0(A,xp)|A=sz10|A=xp. % 2.34/2.59 ** KEPT (pick-wt=9): 86 [] -aNaturalNumber0(A)|sdtpldt0(xn,A)!=xm|aNaturalNumber0($c3). % 2.34/2.59 ** KEPT (pick-wt=16): 87 [] -aNaturalNumber0(A)|sdtpldt0(xn,A)!=xm|sdtpldt0(sdtasdt0(xn,xn),$c3)=sdtasdt0(xm,xm). % 2.34/2.59 ** KEPT (pick-wt=14): 88 [] -aNaturalNumber0(A)|sdtpldt0(xn,A)!=xm|sdtlse_qdt0(sdtasdt0(xn,xn),sdtasdt0(xm,xm)). % 2.34/2.59 ** KEPT (pick-wt=5): 89 [] -sdtlse_qdt0(xn,xm)|aNaturalNumber0($c3). % 2.34/2.59 ** KEPT (pick-wt=12): 90 [] -sdtlse_qdt0(xn,xm)|sdtpldt0(sdtasdt0(xn,xn),$c3)=sdtasdt0(xm,xm). % 2.34/2.59 ** KEPT (pick-wt=10): 91 [] -sdtlse_qdt0(xn,xm)|sdtlse_qdt0(sdtasdt0(xn,xn),sdtasdt0(xm,xm)). % 2.34/2.59 ** KEPT (pick-wt=10): 93 [copy,92,flip.1] xn=xm| -aNaturalNumber0(A)|sdtpldt0(xm,A)!=xn. % 2.34/2.59 ** KEPT (pick-wt=6): 95 [copy,94,flip.1] xn=xm| -sdtlse_qdt0(xm,xn). % 2.34/2.59 % 2.34/2.59 ------------> process sos: % 2.34/2.59 ** KEPT (pick-wt=3): 216 [] A=A. % 2.34/2.59 ** KEPT (pick-wt=2): 217 [] aNaturalNumber0(sz00). % 2.34/2.59 ** KEPT (pick-wt=2): 218 [] aNaturalNumber0(sz10). % 2.34/2.59 ** KEPT (pick-wt=2): 219 [] aNaturalNumber0(xn). % 2.34/2.59 ** KEPT (pick-wt=2): 220 [] aNaturalNumber0(xm). % 2.34/2.59 ** KEPT (pick-wt=2): 221 [] aNaturalNumber0(xp). % 2.34/2.59 ** KEPT (pick-wt=9): 222 [] sdtasdt0(xp,sdtasdt0(xm,xm))=sdtasdt0(xn,xn). % 2.34/2.59 ---> New Demodulator: 223 [new_demod,222] sdtasdt0(xp,sdtasdt0(xm,xm))=sdtasdt0(xn,xn). % 2.34/2.59 ** KEPT (pick-wt=2): 224 [] isPrime0(xp). % 2.34/2.59 ** KEPT (pick-wt=2): 225 [] aNaturalNumber0($c1). % 2.34/2.59 ** KEPT (pick-wt=7): 227 [copy,226,flip.1] sdtasdt0(xp,$c1)=sdtasdt0(xn,xn). % 2.34/2.59 ---> New Demodulator: 228 [new_demod,227] sdtasdt0(xp,$c1)=sdtasdt0(xn,xn). % 2.34/2.59 ** KEPT (pick-wt=5): 229 [] doDivides0(xp,sdtasdt0(xn,xn)). % 2.34/2.59 ** KEPT (pick-wt=2): 230 [] aNaturalNumber0($c2). % 2.34/2.59 ** KEPT (pick-wt=5): 232 [copy,231,flip.1] sdtasdt0(xp,$c2)=xn. % 2.34/2.59 ---> New Demodulator: 233 [new_demod,232] sdtasdt0(xp,$c2)=xn. % 2.34/2.59 ** KEPT (pick-wt=3): 234 [] doDivides0(xp,xn). % 2.34/2.59 ** KEPT (pick-wt=2): 235 [] aNaturalNumber0(xq). % 2.34/2.59 ** KEPT (pick-wt=5): 237 [copy,236,flip.1] sdtasdt0(xp,xq)=xn. % 2.34/2.59 ---> New Demodulator: 238 [new_demod,237] sdtasdt0(xp,xq)=xn. % 2.34/2.59 ** KEPT (pick-wt=5): 240 [copy,239,flip.1] sdtsldt0(xn,xp)=xq. % 2.34/2.59 ---> New Demodulator: 241 [new_demod,240] sdtsldt0(xn,xp)=xq. % 2.34/2.59 ** KEPT (pick-wt=9): 243 [copy,242,flip.1] sdtasdt0(xp,sdtasdt0(xq,xq))=sdtasdt0(xm,xm). % 2.34/2.59 ---> New Demodulator: 244 [new_demod,243] sdtasdt0(xp,sdtasdt0(xq,xq))=sdtasdt0(xm,xm). % 2.34/2.59 Following clause subsumed by 216 during input processing: 0 [copy,216,flip.1] A=A. % 2.34/2.59 216 back subsumes 207. % 2.34/2.59 216 back subsumes 201. % 2.34/2.59 216 back subsumes 200. % 2.34/2.59 216 back subsumes 199. % 2.34/2.59 216 back subsumes 168. % 2.34/2.59 216 back subsumes 137. % 2.34/2.59 216 back subsumes 125. % 2.34/2.59 216 back subsumes 121Alarm clock % 299.90/300.06 Otter interrupted % 299.90/300.06 PROOF NOT FOUND %------------------------------------------------------------------------------