%------------------------------------------------------------------------------ % File : Otter---3.3 % Problem : NUM472+2 : TPTP v8.1.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : otter-tptp-script %s % Computer : n029.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 13:08:29 EDT 2022 % Result : Unknown 155.54s 155.78s % Output : None % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.06/0.12 % Problem : NUM472+2 : TPTP v8.1.0. Released v4.0.0. % 0.06/0.12 % Command : otter-tptp-script %s % 0.13/0.33 % Computer : n029.cluster.edu % 0.13/0.33 % Model : x86_64 x86_64 % 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.33 % Memory : 8042.1875MB % 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.33 % CPULimit : 300 % 0.13/0.33 % WCLimit : 300 % 0.13/0.33 % DateTime : Wed Jul 27 10:05:44 EDT 2022 % 0.13/0.33 % CPUTime : % 2.04/2.25 ----- Otter 3.3f, August 2004 ----- % 2.04/2.25 The process was started by sandbox on n029.cluster.edu, % 2.04/2.25 Wed Jul 27 10:05:44 2022 % 2.04/2.25 The command was "./otter". The process ID is 12120. % 2.04/2.25 % 2.04/2.25 set(prolog_style_variables). % 2.04/2.25 set(auto). % 2.04/2.25 dependent: set(auto1). % 2.04/2.25 dependent: set(process_input). % 2.04/2.25 dependent: clear(print_kept). % 2.04/2.25 dependent: clear(print_new_demod). % 2.04/2.25 dependent: clear(print_back_demod). % 2.04/2.25 dependent: clear(print_back_sub). % 2.04/2.25 dependent: set(control_memory). % 2.04/2.25 dependent: assign(max_mem, 12000). % 2.04/2.25 dependent: assign(pick_given_ratio, 4). % 2.04/2.25 dependent: assign(stats_level, 1). % 2.04/2.25 dependent: assign(max_seconds, 10800). % 2.04/2.25 clear(print_given). % 2.04/2.25 % 2.04/2.25 formula_list(usable). % 2.04/2.25 all A (A=A). % 2.04/2.25 all W0 (aNaturalNumber0(W0)->$T). % 2.04/2.25 aNaturalNumber0(sz00). % 2.04/2.25 aNaturalNumber0(sz10). % 2.04/2.25 sz10!=sz00. % 2.04/2.25 all W0 W1 (aNaturalNumber0(W0)&aNaturalNumber0(W1)->aNaturalNumber0(sdtpldt0(W0,W1))). % 2.04/2.25 all W0 W1 (aNaturalNumber0(W0)&aNaturalNumber0(W1)->aNaturalNumber0(sdtasdt0(W0,W1))). % 2.04/2.25 all W0 W1 (aNaturalNumber0(W0)&aNaturalNumber0(W1)->sdtpldt0(W0,W1)=sdtpldt0(W1,W0)). % 2.04/2.25 all W0 W1 W2 (aNaturalNumber0(W0)&aNaturalNumber0(W1)&aNaturalNumber0(W2)->sdtpldt0(sdtpldt0(W0,W1),W2)=sdtpldt0(W0,sdtpldt0(W1,W2))). % 2.04/2.25 all W0 (aNaturalNumber0(W0)->sdtpldt0(W0,sz00)=W0&W0=sdtpldt0(sz00,W0)). % 2.04/2.25 all W0 W1 (aNaturalNumber0(W0)&aNaturalNumber0(W1)->sdtasdt0(W0,W1)=sdtasdt0(W1,W0)). % 2.04/2.25 all W0 W1 W2 (aNaturalNumber0(W0)&aNaturalNumber0(W1)&aNaturalNumber0(W2)->sdtasdt0(sdtasdt0(W0,W1),W2)=sdtasdt0(W0,sdtasdt0(W1,W2))). % 2.04/2.25 all W0 (aNaturalNumber0(W0)->sdtasdt0(W0,sz10)=W0&W0=sdtasdt0(sz10,W0)). % 2.04/2.25 all W0 (aNaturalNumber0(W0)->sdtasdt0(W0,sz00)=sz00&sz00=sdtasdt0(sz00,W0)). % 2.04/2.25 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))). % 2.04/2.25 all W0 W1 W2 (aNaturalNumber0(W0)&aNaturalNumber0(W1)&aNaturalNumber0(W2)-> (sdtpldt0(W0,W1)=sdtpldt0(W0,W2)|sdtpldt0(W1,W0)=sdtpldt0(W2,W0)->W1=W2)). % 2.04/2.25 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))))). % 2.04/2.25 all W0 W1 (aNaturalNumber0(W0)&aNaturalNumber0(W1)-> (sdtpldt0(W0,W1)=sz00->W0=sz00&W1=sz00)). % 2.04/2.25 all W0 W1 (aNaturalNumber0(W0)&aNaturalNumber0(W1)-> (sdtasdt0(W0,W1)=sz00->W0=sz00|W1=sz00)). % 2.04/2.25 all W0 W1 (aNaturalNumber0(W0)&aNaturalNumber0(W1)-> (sdtlse_qdt0(W0,W1)<-> (exists W2 (aNaturalNumber0(W2)&sdtpldt0(W0,W2)=W1)))). % 2.04/2.25 all W0 W1 (aNaturalNumber0(W0)&aNaturalNumber0(W1)-> (sdtlse_qdt0(W0,W1)-> (all W2 (W2=sdtmndt0(W1,W0)<->aNaturalNumber0(W2)&sdtpldt0(W0,W2)=W1)))). % 2.04/2.25 all W0 (aNaturalNumber0(W0)->sdtlse_qdt0(W0,W0)). % 2.04/2.25 all W0 W1 (aNaturalNumber0(W0)&aNaturalNumber0(W1)-> (sdtlse_qdt0(W0,W1)&sdtlse_qdt0(W1,W0)->W0=W1)). % 2.04/2.25 all W0 W1 W2 (aNaturalNumber0(W0)&aNaturalNumber0(W1)&aNaturalNumber0(W2)-> (sdtlse_qdt0(W0,W1)&sdtlse_qdt0(W1,W2)->sdtlse_qdt0(W0,W2))). % 2.04/2.25 all W0 W1 (aNaturalNumber0(W0)&aNaturalNumber0(W1)->sdtlse_qdt0(W0,W1)|W1!=W0&sdtlse_qdt0(W1,W0)). % 2.04/2.25 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)))))). % 2.04/2.25 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)))). % 2.04/2.25 all W0 (aNaturalNumber0(W0)->W0=sz00|W0=sz10|sz10!=W0&sdtlse_qdt0(sz10,W0)). % 2.04/2.25 all W0 W1 (aNaturalNumber0(W0)&aNaturalNumber0(W1)-> (W0!=sz00->sdtlse_qdt0(W1,sdtasdt0(W1,W0)))). % 2.04/2.25 all W0 W1 (aNaturalNumber0(W0)&aNaturalNumber0(W1)-> (iLess0(W0,W1)->$T)). % 2.04/2.25 all W0 W1 (aNaturalNumber0(W0)&aNaturalNumber0(W1)-> (W0!=W1&sdtlse_qdt0(W0,W1)->iLess0(W0,W1))). % 2.04/2.25 all W0 W1 (aNaturalNumber0(W0)&aNaturalNumber0(W1)-> (doDivides0(W0,W1)<-> (exists W2 (aNaturalNumber0(W2)&W1=sdtasdt0(W0,W2))))). % 2.04/2.25 all W0 W1 (aNaturalNumber0(W0)&aNaturalNumber0(W1)-> (W0!=sz00&doDivides0(W0,W1)-> (all W2 (W2=sdtsldt0(W1,W0)<->aNaturalNumber0(W2)&W1=sdtasdt0(W0,W2))))). % 2.04/2.25 all W0 W1 W2 (aNaturalNumber0(W0)&aNaturalNumber0(W1)&aNaturalNumber0(W2)-> (doDivides0(W0,W1)&doDivides0(W1,W2)->doDivides0(W0,W2))). % 2.04/2.25 all W0 W1 W2 (aNaturalNumber0(W0)&aNaturalNumber0(W1)&aNaturalNumber0(W2)-> (doDivides0(W0,W1)&doDivides0(W0,W2)->doDivides0(W0,sdtpldt0(W1,W2)))). % 2.04/2.25 aNaturalNumber0(xl). % 2.04/2.25 aNaturalNumber0(xm). % 2.04/2.25 aNaturalNumber0(xn). % 2.04/2.25 exists W0 (aNaturalNumber0(W0)&xm=sdtasdt0(xl,W0)). % 2.04/2.25 doDivides0(xl,xm). % 2.04/2.25 exists W0 (aNaturalNumber0(W0)&sdtpldt0(xm,xn)=sdtasdt0(xl,W0)). % 2.04/2.25 doDivides0(xl,sdtpldt0(xm,xn)). % 2.04/2.25 xl!=sz00. % 2.04/2.25 aNaturalNumber0(xp). % 2.04/2.25 xm=sdtasdt0(xl,xp). % 2.04/2.25 xp=sdtsldt0(xm,xl). % 2.04/2.25 aNaturalNumber0(xq). % 2.04/2.25 sdtpldt0(xm,xn)=sdtasdt0(xl,xq). % 2.04/2.25 xq=sdtsldt0(sdtpldt0(xm,xn),xl). % 2.04/2.25 -((exists W0 (aNaturalNumber0(W0)&sdtpldt0(xm,W0)=sdtpldt0(xm,xn)))|sdtlse_qdt0(xm,sdtpldt0(xm,xn))). % 2.04/2.25 end_of_list. % 2.04/2.25 % 2.04/2.25 -------> usable clausifies to: % 2.04/2.25 % 2.04/2.25 list(usable). % 2.04/2.25 0 [] A=A. % 2.04/2.25 0 [] -aNaturalNumber0(W0)|$T. % 2.04/2.25 0 [] aNaturalNumber0(sz00). % 2.04/2.25 0 [] aNaturalNumber0(sz10). % 2.04/2.25 0 [] sz10!=sz00. % 2.04/2.25 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)|aNaturalNumber0(sdtpldt0(W0,W1)). % 2.04/2.25 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)|aNaturalNumber0(sdtasdt0(W0,W1)). % 2.04/2.25 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)|sdtpldt0(W0,W1)=sdtpldt0(W1,W0). % 2.04/2.25 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)| -aNaturalNumber0(W2)|sdtpldt0(sdtpldt0(W0,W1),W2)=sdtpldt0(W0,sdtpldt0(W1,W2)). % 2.04/2.25 0 [] -aNaturalNumber0(W0)|sdtpldt0(W0,sz00)=W0. % 2.04/2.25 0 [] -aNaturalNumber0(W0)|W0=sdtpldt0(sz00,W0). % 2.04/2.25 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)|sdtasdt0(W0,W1)=sdtasdt0(W1,W0). % 2.04/2.25 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)| -aNaturalNumber0(W2)|sdtasdt0(sdtasdt0(W0,W1),W2)=sdtasdt0(W0,sdtasdt0(W1,W2)). % 2.04/2.25 0 [] -aNaturalNumber0(W0)|sdtasdt0(W0,sz10)=W0. % 2.04/2.25 0 [] -aNaturalNumber0(W0)|W0=sdtasdt0(sz10,W0). % 2.04/2.25 0 [] -aNaturalNumber0(W0)|sdtasdt0(W0,sz00)=sz00. % 2.04/2.25 0 [] -aNaturalNumber0(W0)|sz00=sdtasdt0(sz00,W0). % 2.04/2.25 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)| -aNaturalNumber0(W2)|sdtasdt0(W0,sdtpldt0(W1,W2))=sdtpldt0(sdtasdt0(W0,W1),sdtasdt0(W0,W2)). % 2.04/2.25 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)| -aNaturalNumber0(W2)|sdtasdt0(sdtpldt0(W1,W2),W0)=sdtpldt0(sdtasdt0(W1,W0),sdtasdt0(W2,W0)). % 2.04/2.25 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)| -aNaturalNumber0(W2)|sdtpldt0(W0,W1)!=sdtpldt0(W0,W2)|W1=W2. % 2.04/2.25 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)| -aNaturalNumber0(W2)|sdtpldt0(W1,W0)!=sdtpldt0(W2,W0)|W1=W2. % 2.04/2.25 0 [] -aNaturalNumber0(W0)|W0=sz00| -aNaturalNumber0(W1)| -aNaturalNumber0(W2)|sdtasdt0(W0,W1)!=sdtasdt0(W0,W2)|W1=W2. % 2.04/2.25 0 [] -aNaturalNumber0(W0)|W0=sz00| -aNaturalNumber0(W1)| -aNaturalNumber0(W2)|sdtasdt0(W1,W0)!=sdtasdt0(W2,W0)|W1=W2. % 2.04/2.25 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)|sdtpldt0(W0,W1)!=sz00|W0=sz00. % 2.04/2.25 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)|sdtpldt0(W0,W1)!=sz00|W1=sz00. % 2.04/2.25 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)|sdtasdt0(W0,W1)!=sz00|W0=sz00|W1=sz00. % 2.04/2.25 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)| -sdtlse_qdt0(W0,W1)|aNaturalNumber0($f1(W0,W1)). % 2.04/2.25 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)| -sdtlse_qdt0(W0,W1)|sdtpldt0(W0,$f1(W0,W1))=W1. % 2.04/2.25 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)|sdtlse_qdt0(W0,W1)| -aNaturalNumber0(W2)|sdtpldt0(W0,W2)!=W1. % 2.04/2.25 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)| -sdtlse_qdt0(W0,W1)|W2!=sdtmndt0(W1,W0)|aNaturalNumber0(W2). % 2.04/2.25 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)| -sdtlse_qdt0(W0,W1)|W2!=sdtmndt0(W1,W0)|sdtpldt0(W0,W2)=W1. % 2.04/2.25 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)| -sdtlse_qdt0(W0,W1)|W2=sdtmndt0(W1,W0)| -aNaturalNumber0(W2)|sdtpldt0(W0,W2)!=W1. % 2.04/2.25 0 [] -aNaturalNumber0(W0)|sdtlse_qdt0(W0,W0). % 2.04/2.25 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)| -sdtlse_qdt0(W0,W1)| -sdtlse_qdt0(W1,W0)|W0=W1. % 2.04/2.25 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)| -aNaturalNumber0(W2)| -sdtlse_qdt0(W0,W1)| -sdtlse_qdt0(W1,W2)|sdtlse_qdt0(W0,W2). % 2.04/2.25 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)|sdtlse_qdt0(W0,W1)|W1!=W0. % 2.04/2.25 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)|sdtlse_qdt0(W0,W1)|sdtlse_qdt0(W1,W0). % 2.04/2.25 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)|W0=W1| -sdtlse_qdt0(W0,W1)| -aNaturalNumber0(W2)|sdtpldt0(W2,W0)!=sdtpldt0(W2,W1). % 2.04/2.25 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)|W0=W1| -sdtlse_qdt0(W0,W1)| -aNaturalNumber0(W2)|sdtlse_qdt0(sdtpldt0(W2,W0),sdtpldt0(W2,W1)). % 2.04/2.25 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)|W0=W1| -sdtlse_qdt0(W0,W1)| -aNaturalNumber0(W2)|sdtpldt0(W0,W2)!=sdtpldt0(W1,W2). % 2.04/2.25 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)|W0=W1| -sdtlse_qdt0(W0,W1)| -aNaturalNumber0(W2)|sdtlse_qdt0(sdtpldt0(W0,W2),sdtpldt0(W1,W2)). % 2.04/2.25 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)| -aNaturalNumber0(W2)|W0=sz00|W1=W2| -sdtlse_qdt0(W1,W2)|sdtasdt0(W0,W1)!=sdtasdt0(W0,W2). % 2.04/2.25 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)| -aNaturalNumber0(W2)|W0=sz00|W1=W2| -sdtlse_qdt0(W1,W2)|sdtlse_qdt0(sdtasdt0(W0,W1),sdtasdt0(W0,W2)). % 2.04/2.25 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)| -aNaturalNumber0(W2)|W0=sz00|W1=W2| -sdtlse_qdt0(W1,W2)|sdtasdt0(W1,W0)!=sdtasdt0(W2,W0). % 2.04/2.25 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)| -aNaturalNumber0(W2)|W0=sz00|W1=W2| -sdtlse_qdt0(W1,W2)|sdtlse_qdt0(sdtasdt0(W1,W0),sdtasdt0(W2,W0)). % 2.04/2.25 0 [] -aNaturalNumber0(W0)|W0=sz00|W0=sz10|sz10!=W0. % 2.04/2.25 0 [] -aNaturalNumber0(W0)|W0=sz00|W0=sz10|sdtlse_qdt0(sz10,W0). % 2.04/2.25 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)|W0=sz00|sdtlse_qdt0(W1,sdtasdt0(W1,W0)). % 2.04/2.25 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)| -iLess0(W0,W1)|$T. % 2.04/2.25 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)|W0=W1| -sdtlse_qdt0(W0,W1)|iLess0(W0,W1). % 2.04/2.25 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)| -doDivides0(W0,W1)|aNaturalNumber0($f2(W0,W1)). % 2.04/2.25 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)| -doDivides0(W0,W1)|W1=sdtasdt0(W0,$f2(W0,W1)). % 2.04/2.25 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)|doDivides0(W0,W1)| -aNaturalNumber0(W2)|W1!=sdtasdt0(W0,W2). % 2.04/2.25 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)|W0=sz00| -doDivides0(W0,W1)|W2!=sdtsldt0(W1,W0)|aNaturalNumber0(W2). % 2.04/2.25 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)|W0=sz00| -doDivides0(W0,W1)|W2!=sdtsldt0(W1,W0)|W1=sdtasdt0(W0,W2). % 2.04/2.25 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)|W0=sz00| -doDivides0(W0,W1)|W2=sdtsldt0(W1,W0)| -aNaturalNumber0(W2)|W1!=sdtasdt0(W0,W2). % 2.04/2.25 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)| -aNaturalNumber0(W2)| -doDivides0(W0,W1)| -doDivides0(W1,W2)|doDivides0(W0,W2). % 2.04/2.25 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)| -aNaturalNumber0(W2)| -doDivides0(W0,W1)| -doDivides0(W0,W2)|doDivides0(W0,sdtpldt0(W1,W2)). % 2.04/2.25 0 [] aNaturalNumber0(xl). % 2.04/2.25 0 [] aNaturalNumber0(xm). % 2.04/2.25 0 [] aNaturalNumber0(xn). % 2.04/2.25 0 [] aNaturalNumber0($c1). % 2.04/2.25 0 [] xm=sdtasdt0(xl,$c1). % 2.04/2.25 0 [] doDivides0(xl,xm). % 2.04/2.25 0 [] aNaturalNumber0($c2). % 2.04/2.25 0 [] sdtpldt0(xm,xn)=sdtasdt0(xl,$c2). % 2.04/2.25 0 [] doDivides0(xl,sdtpldt0(xm,xn)). % 2.04/2.25 0 [] xl!=sz00. % 2.04/2.25 0 [] aNaturalNumber0(xp). % 2.04/2.25 0 [] xm=sdtasdt0(xl,xp). % 2.04/2.25 0 [] xp=sdtsldt0(xm,xl). % 2.04/2.25 0 [] aNaturalNumber0(xq). % 2.04/2.25 0 [] sdtpldt0(xm,xn)=sdtasdt0(xl,xq). % 2.04/2.25 0 [] xq=sdtsldt0(sdtpldt0(xm,xn),xl). % 2.04/2.25 0 [] -aNaturalNumber0(W0)|sdtpldt0(xm,W0)!=sdtpldt0(xm,xn). % 2.04/2.25 0 [] -sdtlse_qdt0(xm,sdtpldt0(xm,xn)). % 2.04/2.25 end_of_list. % 2.04/2.25 % 2.04/2.25 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=7. % 2.04/2.25 % 2.04/2.25 This ia a non-Horn set with equality. The strategy will be % 2.04/2.25 Knuth-Bendix, ordered hyper_res, factoring, and unit % 2.04/2.25 deletion, with positive clauses in sos and nonpositive % 2.04/2.25 clauses in usable. % 2.04/2.25 % 2.04/2.25 dependent: set(knuth_bendix). % 2.04/2.25 dependent: set(anl_eq). % 2.04/2.25 dependent: set(para_from). % 2.04/2.25 dependent: set(para_into). % 2.04/2.25 dependent: clear(para_from_right). % 2.04/2.25 dependent: clear(para_into_right). % 2.04/2.25 dependent: set(para_from_vars). % 2.04/2.25 dependent: set(eq_units_both_ways). % 2.04/2.25 dependent: set(dynamic_demod_all). % 2.04/2.25 dependent: set(dynamic_demod). % 2.04/2.25 dependent: set(order_eq). % 2.04/2.25 dependent: set(back_demod). % 2.04/2.25 dependent: set(lrpo). % 2.04/2.25 dependent: set(hyper_res). % 2.04/2.25 dependent: set(unit_deletion). % 2.04/2.25 dependent: set(factor). % 2.04/2.25 % 2.04/2.25 ------------> process usable: % 2.04/2.25 ** KEPT (pick-wt=3): 1 [] sz10!=sz00. % 2.04/2.25 ** KEPT (pick-wt=8): 2 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)|aNaturalNumber0(sdtpldt0(A,B)). % 2.04/2.25 ** KEPT (pick-wt=8): 3 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)|aNaturalNumber0(sdtasdt0(A,B)). % 2.04/2.25 ** KEPT (pick-wt=11): 4 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)|sdtpldt0(A,B)=sdtpldt0(B,A). % 2.04/2.25 ** KEPT (pick-wt=17): 5 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)| -aNaturalNumber0(C)|sdtpldt0(sdtpldt0(A,B),C)=sdtpldt0(A,sdtpldt0(B,C)). % 2.04/2.26 ** KEPT (pick-wt=7): 6 [] -aNaturalNumber0(A)|sdtpldt0(A,sz00)=A. % 2.04/2.26 ** KEPT (pick-wt=7): 8 [copy,7,flip.2] -aNaturalNumber0(A)|sdtpldt0(sz00,A)=A. % 2.04/2.26 ** KEPT (pick-wt=11): 9 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)|sdtasdt0(A,B)=sdtasdt0(B,A). % 2.04/2.26 ** KEPT (pick-wt=17): 10 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)| -aNaturalNumber0(C)|sdtasdt0(sdtasdt0(A,B),C)=sdtasdt0(A,sdtasdt0(B,C)). % 2.04/2.26 ** KEPT (pick-wt=7): 11 [] -aNaturalNumber0(A)|sdtasdt0(A,sz10)=A. % 2.04/2.26 ** KEPT (pick-wt=7): 13 [copy,12,flip.2] -aNaturalNumber0(A)|sdtasdt0(sz10,A)=A. % 2.04/2.26 ** KEPT (pick-wt=7): 14 [] -aNaturalNumber0(A)|sdtasdt0(A,sz00)=sz00. % 2.04/2.26 ** KEPT (pick-wt=7): 16 [copy,15,flip.2] -aNaturalNumber0(A)|sdtasdt0(sz00,A)=sz00. % 2.04/2.26 ** 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)). % 2.04/2.26 ** 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). % 2.04/2.26 ** KEPT (pick-wt=16): 21 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)| -aNaturalNumber0(C)|sdtpldt0(A,B)!=sdtpldt0(A,C)|B=C. % 2.04/2.26 ** KEPT (pick-wt=16): 22 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)| -aNaturalNumber0(C)|sdtpldt0(B,A)!=sdtpldt0(C,A)|B=C. % 2.04/2.26 ** KEPT (pick-wt=19): 23 [] -aNaturalNumber0(A)|A=sz00| -aNaturalNumber0(B)| -aNaturalNumber0(C)|sdtasdt0(A,B)!=sdtasdt0(A,C)|B=C. % 2.04/2.26 ** KEPT (pick-wt=19): 24 [] -aNaturalNumber0(A)|A=sz00| -aNaturalNumber0(B)| -aNaturalNumber0(C)|sdtasdt0(B,A)!=sdtasdt0(C,A)|B=C. % 2.04/2.26 ** KEPT (pick-wt=12): 25 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)|sdtpldt0(A,B)!=sz00|A=sz00. % 2.04/2.26 ** KEPT (pick-wt=12): 26 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)|sdtpldt0(A,B)!=sz00|B=sz00. % 2.04/2.26 ** KEPT (pick-wt=15): 27 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)|sdtasdt0(A,B)!=sz00|A=sz00|B=sz00. % 2.04/2.26 ** KEPT (pick-wt=11): 28 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)| -sdtlse_qdt0(A,B)|aNaturalNumber0($f1(A,B)). % 2.04/2.26 ** KEPT (pick-wt=14): 29 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)| -sdtlse_qdt0(A,B)|sdtpldt0(A,$f1(A,B))=B. % 2.04/2.26 ** KEPT (pick-wt=14): 30 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)|sdtlse_qdt0(A,B)| -aNaturalNumber0(C)|sdtpldt0(A,C)!=B. % 2.04/2.26 ** KEPT (pick-wt=14): 31 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)| -sdtlse_qdt0(A,B)|C!=sdtmndt0(B,A)|aNaturalNumber0(C). % 2.04/2.26 ** KEPT (pick-wt=17): 32 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)| -sdtlse_qdt0(A,B)|C!=sdtmndt0(B,A)|sdtpldt0(A,C)=B. % 2.04/2.26 ** KEPT (pick-wt=19): 33 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)| -sdtlse_qdt0(A,B)|C=sdtmndt0(B,A)| -aNaturalNumber0(C)|sdtpldt0(A,C)!=B. % 2.04/2.26 ** KEPT (pick-wt=5): 34 [] -aNaturalNumber0(A)|sdtlse_qdt0(A,A). % 2.04/2.26 ** KEPT (pick-wt=13): 35 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)| -sdtlse_qdt0(A,B)| -sdtlse_qdt0(B,A)|A=B. % 2.04/2.26 ** KEPT (pick-wt=15): 36 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)| -aNaturalNumber0(C)| -sdtlse_qdt0(A,B)| -sdtlse_qdt0(B,C)|sdtlse_qdt0(A,C). % 2.04/2.26 ** KEPT (pick-wt=10): 37 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)|sdtlse_qdt0(A,B)|B!=A. % 2.04/2.26 ** KEPT (pick-wt=10): 38 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)|sdtlse_qdt0(A,B)|sdtlse_qdt0(B,A). % 2.04/2.26 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). % 2.04/2.26 ** 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)). % 2.04/2.26 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). % 2.04/2.26 ** 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)). % 2.04/2.26 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). % 2.04/2.26 ** 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)). % 2.04/2.26 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). % 2.04/2.26 ** 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)). % 2.04/2.26 ** KEPT (pick-wt=11): 43 [] -aNaturalNumber0(A)|A=sz00|A=sz10|sz10!=A. % 2.04/2.26 ** KEPT (pick-wt=11): 44 [] -aNaturalNumber0(A)|A=sz00|A=sz10|sdtlse_qdt0(sz10,A). % 2.04/2.26 ** KEPT (pick-wt=12): 45 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)|A=sz00|sdtlse_qdt0(B,sdtasdt0(B,A)). % 2.04/2.26 ** KEPT (pick-wt=13): 46 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)|A=B| -sdtlse_qdt0(A,B)|iLess0(A,B). % 2.04/2.26 ** KEPT (pick-wt=11): 47 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)| -doDivides0(A,B)|aNaturalNumber0($f2(A,B)). % 2.04/2.26 ** KEPT (pick-wt=14): 49 [copy,48,flip.4] -aNaturalNumber0(A)| -aNaturalNumber0(B)| -doDivides0(A,B)|sdtasdt0(A,$f2(A,B))=B. % 2.04/2.26 ** KEPT (pick-wt=14): 50 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)|doDivides0(A,B)| -aNaturalNumber0(C)|B!=sdtasdt0(A,C). % 2.04/2.26 ** KEPT (pick-wt=17): 51 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)|A=sz00| -doDivides0(A,B)|C!=sdtsldt0(B,A)|aNaturalNumber0(C). % 2.04/2.26 ** KEPT (pick-wt=20): 52 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)|A=sz00| -doDivides0(A,B)|C!=sdtsldt0(B,A)|B=sdtasdt0(A,C). % 2.04/2.26 ** KEPT (pick-wt=22): 53 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)|A=sz00| -doDivides0(A,B)|C=sdtsldt0(B,A)| -aNaturalNumber0(C)|B!=sdtasdt0(A,C). % 2.04/2.26 ** KEPT (pick-wt=15): 54 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)| -aNaturalNumber0(C)| -doDivides0(A,B)| -doDivides0(B,C)|doDivides0(A,C). % 2.04/2.26 ** KEPT (pick-wt=17): 55 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)| -aNaturalNumber0(C)| -doDivides0(A,B)| -doDivides0(A,C)|doDivides0(A,sdtpldt0(B,C)). % 2.04/2.26 ** KEPT (pick-wt=3): 56 [] xl!=sz00. % 2.04/2.26 ** KEPT (pick-wt=9): 57 [] -aNaturalNumber0(A)|sdtpldt0(xm,A)!=sdtpldt0(xm,xn). % 2.04/2.26 ** KEPT (pick-wt=5): 58 [] -sdtlse_qdt0(xm,sdtpldt0(xm,xn)). % 2.04/2.26 % 2.04/2.26 ------------> process sos: % 2.04/2.26 ** KEPT (pick-wt=3): 137 [] A=A. % 2.04/2.26 ** KEPT (pick-wt=2): 138 [] aNaturalNumber0(sz00). % 2.04/2.26 ** KEPT (pick-wt=2): 139 [] aNaturalNumber0(sz10). % 2.04/2.26 ** KEPT (pick-wt=2): 140 [] aNaturalNumber0(xl). % 2.04/2.26 ** KEPT (pick-wt=2): 141 [] aNaturalNumber0(xm). % 2.04/2.26 ** KEPT (pick-wt=2): 142 [] aNaturalNumber0(xn). % 2.04/2.26 ** KEPT (pick-wt=2): 143 [] aNaturalNumber0($c1). % 2.04/2.26 ** KEPT (pick-wt=5): 145 [copy,144,flip.1] sdtasdt0(xl,$c1)=xm. % 2.04/2.26 ---> New Demodulator: 146 [new_demod,145] sdtasdt0(xl,$c1)=xm. % 2.04/2.26 ** KEPT (pick-wt=3): 147 [] doDivides0(xl,xm). % 2.04/2.26 ** KEPT (pick-wt=2): 148 [] aNaturalNumber0($c2). % 2.04/2.26 ** KEPT (pick-wt=7): 149 [] sdtpldt0(xm,xn)=sdtasdt0(xl,$c2). % 2.04/2.26 ---> New Demodulator: 150 [new_demod,149] sdtpldt0(xm,xn)=sdtasdt0(xl,$c2). % 2.04/2.26 ** KEPT (pick-wt=5): 152 [copy,151,demod,150] doDivides0(xl,sdtasdt0(xl,$c2)). % 2.04/2.26 ** KEPT (pick-wt=2): 153 [] aNaturalNumber0(xp). % 2.04/2.26 ** KEPT (pick-wt=5): 155 [copy,154,flip.1] sdtasdt0(xl,xp)=xm. % 2.04/2.26 ---> New Demodulator: 156 [new_demod,155] sdtasdt0(xl,xp)=xm. % 2.04/2.26 ** KEPT (pick-wt=5): 158 [copy,157,flip.1] sdtsldt0(xm,xl)=xp. % 2.04/2.26 ---> New Demodulator: 159 [new_demod,158] sdtsldt0(xm,xl)=xp. % 2.04/2.26 ** KEPT (pick-wt=2): 160 [] aNaturalNumber0(xq). % 2.04/2.26 ** KEPT (pick-wt=7): 162 [copy,161,demod,150,flip.1] sdtasdt0(xl,xq)=sdtasdt0(xl,$c2). % 2.04/2.26 ---> New Demodulator: 163 [new_demod,162] sdtasdt0(xl,xq)=sdtasdt0(xl,$c2). % 2.04/2.26 ** KEPT (pick-wt=7): 165 [copy,164,demod,150,flip.1] sdtsldt0(sdtasdt0(xl,$c2),xl)=xq. % 2.04/2.26 ---> New Demodulator: 166 [new_demod,165] sdtsldt0(sdtasdt0(xl,$c2),xl)=xq. % 2.04/2.26 Following clause subsumed by 137 during input processing: 0 [copy,137,flip.1] A=A. % 2.04/2.26 137 back subsumes 132. % 2.04/2.26 137 back subsumes 131. % 2.04/2.26 137 back subsumes 130. % 2.04/2.26 137 back subsumes 100. % 2.04/2.26 137 back subsumes 88. % 2.04/2.26 137 back subsumes 84. % 2.04/2.26 137 back subsumes 80. % 2.04/2.26 137 back subsumes 77. % 2.04/2.26 137 back subsumes 65. % 2.04/2.26 137 back subsumes 61. % 2.04/2.26 >>>> Starting back demodulation with 146. % 2.04/2.26 >>>> Starting back demodulation with 150. % 2.04/2.26 >> back demodulating 58 with 150. % 2.04/2.26 >> back demodulating 57 with 150. % 2.04/2.26 >>>> Starting back demodulation with 156. % 2.04/2.26 >>>> Starting back demodulation with 159. % 2.04/2.26 >>>> Starting back demodulation with 163. % 155.54/155.78 >>>> Starting back demodulation with 166. % 155.54/155.78 % 155.54/155.78 ======= end of input processing ======= % 155.54/155.78 % 155.54/155.78 =========== start of search =========== % 155.54/155.78 % 155.54/155.78 % 155.54/155.78 Resetting weight limit to 5. % 155.54/155.78 % 155.54/155.78 % 155.54/155.78 Resetting weight limit to 5. % 155.54/155.78 % 155.54/155.78 sos_size=1437 % 155.54/155.78 % 155.54/155.78 % 155.54/155.78 Resetting weight limit to 4. % 155.54/155.78 % 155.54/155.78 % 155.54/155.78 Resetting weight limit to 4. % 155.54/155.78 % 155.54/155.78 sos_size=1480 % 155.54/155.78 % 155.54/155.78 Search stopped because sos empty. % 155.54/155.78 % 155.54/155.78 % 155.54/155.78 Search stopped because sos empty. % 155.54/155.78 % 155.54/155.78 ============ end of search ============ % 155.54/155.78 % 155.54/155.78 -------------- statistics ------------- % 155.54/155.78 clauses given 1125 % 155.54/155.78 clauses generated 13974977 % 155.54/155.78 clauses kept 3765 % 155.54/155.78 clauses forward subsumed 13763 % 155.54/155.78 clauses back subsumed 27 % 155.54/155.78 Kbytes malloced 5859 % 155.54/155.78 % 155.54/155.78 ----------- times (seconds) ----------- % 155.54/155.78 user CPU time 153.52 (0 hr, 2 min, 33 sec) % 155.54/155.78 system CPU time 0.01 (0 hr, 0 min, 0 sec) % 155.54/155.78 wall-clock time 156 (0 hr, 2 min, 36 sec) % 155.54/155.78 % 155.54/155.78 Process 12120 finished Wed Jul 27 10:08:20 2022 % 155.54/155.78 Otter interrupted % 155.54/155.78 PROOF NOT FOUND %------------------------------------------------------------------------------