%------------------------------------------------------------------------------ % File : Otter---3.3 % Problem : NUM460+2 : TPTP v8.1.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : otter-tptp-script %s % Computer : n005.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 13:08:26 EDT 2022 % Result : Timeout 299.90s 300.04s % Output : None % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : NUM460+2 : TPTP v8.1.0. Released v4.0.0. % 0.03/0.13 % Command : otter-tptp-script %s % 0.13/0.34 % Computer : n005.cluster.edu % 0.13/0.34 % Model : x86_64 x86_64 % 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.34 % Memory : 8042.1875MB % 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.34 % CPULimit : 300 % 0.13/0.34 % WCLimit : 300 % 0.13/0.34 % DateTime : Wed Jul 27 09:53:35 EDT 2022 % 0.13/0.34 % CPUTime : % 1.92/2.11 ----- Otter 3.3f, August 2004 ----- % 1.92/2.11 The process was started by sandbox2 on n005.cluster.edu, % 1.92/2.11 Wed Jul 27 09:53:35 2022 % 1.92/2.11 The command was "./otter". The process ID is 26243. % 1.92/2.11 % 1.92/2.11 set(prolog_style_variables). % 1.92/2.11 set(auto). % 1.92/2.11 dependent: set(auto1). % 1.92/2.11 dependent: set(process_input). % 1.92/2.11 dependent: clear(print_kept). % 1.92/2.11 dependent: clear(print_new_demod). % 1.92/2.11 dependent: clear(print_back_demod). % 1.92/2.11 dependent: clear(print_back_sub). % 1.92/2.11 dependent: set(control_memory). % 1.92/2.11 dependent: assign(max_mem, 12000). % 1.92/2.11 dependent: assign(pick_given_ratio, 4). % 1.92/2.11 dependent: assign(stats_level, 1). % 1.92/2.11 dependent: assign(max_seconds, 10800). % 1.92/2.11 clear(print_given). % 1.92/2.11 % 1.92/2.11 formula_list(usable). % 1.92/2.11 all A (A=A). % 1.92/2.11 all W0 (aNaturalNumber0(W0)->$T). % 1.92/2.11 aNaturalNumber0(sz00). % 1.92/2.11 aNaturalNumber0(sz10). % 1.92/2.11 sz10!=sz00. % 1.92/2.11 all W0 W1 (aNaturalNumber0(W0)&aNaturalNumber0(W1)->aNaturalNumber0(sdtpldt0(W0,W1))). % 1.92/2.11 all W0 W1 (aNaturalNumber0(W0)&aNaturalNumber0(W1)->aNaturalNumber0(sdtasdt0(W0,W1))). % 1.92/2.11 all W0 W1 (aNaturalNumber0(W0)&aNaturalNumber0(W1)->sdtpldt0(W0,W1)=sdtpldt0(W1,W0)). % 1.92/2.11 all W0 W1 W2 (aNaturalNumber0(W0)&aNaturalNumber0(W1)&aNaturalNumber0(W2)->sdtpldt0(sdtpldt0(W0,W1),W2)=sdtpldt0(W0,sdtpldt0(W1,W2))). % 1.92/2.11 all W0 (aNaturalNumber0(W0)->sdtpldt0(W0,sz00)=W0&W0=sdtpldt0(sz00,W0)). % 1.92/2.11 all W0 W1 (aNaturalNumber0(W0)&aNaturalNumber0(W1)->sdtasdt0(W0,W1)=sdtasdt0(W1,W0)). % 1.92/2.11 all W0 W1 W2 (aNaturalNumber0(W0)&aNaturalNumber0(W1)&aNaturalNumber0(W2)->sdtasdt0(sdtasdt0(W0,W1),W2)=sdtasdt0(W0,sdtasdt0(W1,W2))). % 1.92/2.11 all W0 (aNaturalNumber0(W0)->sdtasdt0(W0,sz10)=W0&W0=sdtasdt0(sz10,W0)). % 1.92/2.11 all W0 (aNaturalNumber0(W0)->sdtasdt0(W0,sz00)=sz00&sz00=sdtasdt0(sz00,W0)). % 1.92/2.11 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))). % 1.92/2.11 all W0 W1 W2 (aNaturalNumber0(W0)&aNaturalNumber0(W1)&aNaturalNumber0(W2)-> (sdtpldt0(W0,W1)=sdtpldt0(W0,W2)|sdtpldt0(W1,W0)=sdtpldt0(W2,W0)->W1=W2)). % 1.92/2.11 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))))). % 1.92/2.11 all W0 W1 (aNaturalNumber0(W0)&aNaturalNumber0(W1)-> (sdtpldt0(W0,W1)=sz00->W0=sz00&W1=sz00)). % 1.92/2.11 all W0 W1 (aNaturalNumber0(W0)&aNaturalNumber0(W1)-> (sdtasdt0(W0,W1)=sz00->W0=sz00|W1=sz00)). % 1.92/2.11 all W0 W1 (aNaturalNumber0(W0)&aNaturalNumber0(W1)-> (sdtlse_qdt0(W0,W1)<-> (exists W2 (aNaturalNumber0(W2)&sdtpldt0(W0,W2)=W1)))). % 1.92/2.11 all W0 W1 (aNaturalNumber0(W0)&aNaturalNumber0(W1)-> (sdtlse_qdt0(W0,W1)-> (all W2 (W2=sdtmndt0(W1,W0)<->aNaturalNumber0(W2)&sdtpldt0(W0,W2)=W1)))). % 1.92/2.11 all W0 (aNaturalNumber0(W0)->sdtlse_qdt0(W0,W0)). % 1.92/2.11 all W0 W1 (aNaturalNumber0(W0)&aNaturalNumber0(W1)-> (sdtlse_qdt0(W0,W1)&sdtlse_qdt0(W1,W0)->W0=W1)). % 1.92/2.11 aNaturalNumber0(xm). % 1.92/2.11 aNaturalNumber0(xn). % 1.92/2.11 aNaturalNumber0(xl). % 1.92/2.11 -((exists W0 (aNaturalNumber0(W0)&sdtpldt0(xm,W0)=xn))&sdtlse_qdt0(xm,xn)& (exists W0 (aNaturalNumber0(W0)&sdtpldt0(xn,W0)=xl))&sdtlse_qdt0(xn,xl)-> (exists W0 (aNaturalNumber0(W0)&sdtpldt0(xm,W0)=xl))|sdtlse_qdt0(xm,xl)). % 1.92/2.11 end_of_list. % 1.92/2.11 % 1.92/2.11 -------> usable clausifies to: % 1.92/2.11 % 1.92/2.11 list(usable). % 1.92/2.11 0 [] A=A. % 1.92/2.11 0 [] -aNaturalNumber0(W0)|$T. % 1.92/2.11 0 [] aNaturalNumber0(sz00). % 1.92/2.11 0 [] aNaturalNumber0(sz10). % 1.92/2.11 0 [] sz10!=sz00. % 1.92/2.11 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)|aNaturalNumber0(sdtpldt0(W0,W1)). % 1.92/2.11 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)|aNaturalNumber0(sdtasdt0(W0,W1)). % 1.92/2.11 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)|sdtpldt0(W0,W1)=sdtpldt0(W1,W0). % 1.92/2.11 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)| -aNaturalNumber0(W2)|sdtpldt0(sdtpldt0(W0,W1),W2)=sdtpldt0(W0,sdtpldt0(W1,W2)). % 1.92/2.11 0 [] -aNaturalNumber0(W0)|sdtpldt0(W0,sz00)=W0. % 1.92/2.11 0 [] -aNaturalNumber0(W0)|W0=sdtpldt0(sz00,W0). % 1.92/2.11 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)|sdtasdt0(W0,W1)=sdtasdt0(W1,W0). % 1.92/2.11 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)| -aNaturalNumber0(W2)|sdtasdt0(sdtasdt0(W0,W1),W2)=sdtasdt0(W0,sdtasdt0(W1,W2)). % 1.92/2.11 0 [] -aNaturalNumber0(W0)|sdtasdt0(W0,sz10)=W0. % 1.92/2.11 0 [] -aNaturalNumber0(W0)|W0=sdtasdt0(sz10,W0). % 1.92/2.11 0 [] -aNaturalNumber0(W0)|sdtasdt0(W0,sz00)=sz00. % 1.92/2.11 0 [] -aNaturalNumber0(W0)|sz00=sdtasdt0(sz00,W0). % 1.97/2.12 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)| -aNaturalNumber0(W2)|sdtasdt0(W0,sdtpldt0(W1,W2))=sdtpldt0(sdtasdt0(W0,W1),sdtasdt0(W0,W2)). % 1.97/2.12 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)| -aNaturalNumber0(W2)|sdtasdt0(sdtpldt0(W1,W2),W0)=sdtpldt0(sdtasdt0(W1,W0),sdtasdt0(W2,W0)). % 1.97/2.12 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)| -aNaturalNumber0(W2)|sdtpldt0(W0,W1)!=sdtpldt0(W0,W2)|W1=W2. % 1.97/2.12 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)| -aNaturalNumber0(W2)|sdtpldt0(W1,W0)!=sdtpldt0(W2,W0)|W1=W2. % 1.97/2.12 0 [] -aNaturalNumber0(W0)|W0=sz00| -aNaturalNumber0(W1)| -aNaturalNumber0(W2)|sdtasdt0(W0,W1)!=sdtasdt0(W0,W2)|W1=W2. % 1.97/2.12 0 [] -aNaturalNumber0(W0)|W0=sz00| -aNaturalNumber0(W1)| -aNaturalNumber0(W2)|sdtasdt0(W1,W0)!=sdtasdt0(W2,W0)|W1=W2. % 1.97/2.12 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)|sdtpldt0(W0,W1)!=sz00|W0=sz00. % 1.97/2.12 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)|sdtpldt0(W0,W1)!=sz00|W1=sz00. % 1.97/2.12 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)|sdtasdt0(W0,W1)!=sz00|W0=sz00|W1=sz00. % 1.97/2.12 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)| -sdtlse_qdt0(W0,W1)|aNaturalNumber0($f1(W0,W1)). % 1.97/2.12 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)| -sdtlse_qdt0(W0,W1)|sdtpldt0(W0,$f1(W0,W1))=W1. % 1.97/2.12 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)|sdtlse_qdt0(W0,W1)| -aNaturalNumber0(W2)|sdtpldt0(W0,W2)!=W1. % 1.97/2.12 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)| -sdtlse_qdt0(W0,W1)|W2!=sdtmndt0(W1,W0)|aNaturalNumber0(W2). % 1.97/2.12 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)| -sdtlse_qdt0(W0,W1)|W2!=sdtmndt0(W1,W0)|sdtpldt0(W0,W2)=W1. % 1.97/2.12 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)| -sdtlse_qdt0(W0,W1)|W2=sdtmndt0(W1,W0)| -aNaturalNumber0(W2)|sdtpldt0(W0,W2)!=W1. % 1.97/2.12 0 [] -aNaturalNumber0(W0)|sdtlse_qdt0(W0,W0). % 1.97/2.12 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)| -sdtlse_qdt0(W0,W1)| -sdtlse_qdt0(W1,W0)|W0=W1. % 1.97/2.12 0 [] aNaturalNumber0(xm). % 1.97/2.12 0 [] aNaturalNumber0(xn). % 1.97/2.12 0 [] aNaturalNumber0(xl). % 1.97/2.12 0 [] aNaturalNumber0($c1). % 1.97/2.12 0 [] sdtpldt0(xm,$c1)=xn. % 1.97/2.12 0 [] sdtlse_qdt0(xm,xn). % 1.97/2.12 0 [] aNaturalNumber0($c2). % 1.97/2.12 0 [] sdtpldt0(xn,$c2)=xl. % 1.97/2.12 0 [] sdtlse_qdt0(xn,xl). % 1.97/2.12 0 [] -aNaturalNumber0(W0)|sdtpldt0(xm,W0)!=xl. % 1.97/2.12 0 [] -sdtlse_qdt0(xm,xl). % 1.97/2.12 end_of_list. % 1.97/2.12 % 1.97/2.12 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=6. % 1.97/2.12 % 1.97/2.12 This ia a non-Horn set with equality. The strategy will be % 1.97/2.12 Knuth-Bendix, ordered hyper_res, factoring, and unit % 1.97/2.12 deletion, with positive clauses in sos and nonpositive % 1.97/2.12 clauses in usable. % 1.97/2.12 % 1.97/2.12 dependent: set(knuth_bendix). % 1.97/2.12 dependent: set(anl_eq). % 1.97/2.12 dependent: set(para_from). % 1.97/2.12 dependent: set(para_into). % 1.97/2.12 dependent: clear(para_from_right). % 1.97/2.12 dependent: clear(para_into_right). % 1.97/2.12 dependent: set(para_from_vars). % 1.97/2.12 dependent: set(eq_units_both_ways). % 1.97/2.12 dependent: set(dynamic_demod_all). % 1.97/2.12 dependent: set(dynamic_demod). % 1.97/2.12 dependent: set(order_eq). % 1.97/2.12 dependent: set(back_demod). % 1.97/2.12 dependent: set(lrpo). % 1.97/2.12 dependent: set(hyper_res). % 1.97/2.12 dependent: set(unit_deletion). % 1.97/2.12 dependent: set(factor). % 1.97/2.12 % 1.97/2.12 ------------> process usable: % 1.97/2.12 ** KEPT (pick-wt=3): 1 [] sz10!=sz00. % 1.97/2.12 ** KEPT (pick-wt=8): 2 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)|aNaturalNumber0(sdtpldt0(A,B)). % 1.97/2.12 ** KEPT (pick-wt=8): 3 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)|aNaturalNumber0(sdtasdt0(A,B)). % 1.97/2.12 ** KEPT (pick-wt=11): 4 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)|sdtpldt0(A,B)=sdtpldt0(B,A). % 1.97/2.12 ** KEPT (pick-wt=17): 5 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)| -aNaturalNumber0(C)|sdtpldt0(sdtpldt0(A,B),C)=sdtpldt0(A,sdtpldt0(B,C)). % 1.97/2.12 ** KEPT (pick-wt=7): 6 [] -aNaturalNumber0(A)|sdtpldt0(A,sz00)=A. % 1.97/2.12 ** KEPT (pick-wt=7): 8 [copy,7,flip.2] -aNaturalNumber0(A)|sdtpldt0(sz00,A)=A. % 1.97/2.12 ** KEPT (pick-wt=11): 9 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)|sdtasdt0(A,B)=sdtasdt0(B,A). % 1.97/2.12 ** KEPT (pick-wt=17): 10 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)| -aNaturalNumber0(C)|sdtasdt0(sdtasdt0(A,B),C)=sdtasdt0(A,sdtasdt0(B,C)). % 1.97/2.12 ** KEPT (pick-wt=7): 11 [] -aNaturalNumber0(A)|sdtasdt0(A,sz10)=A. % 1.97/2.12 ** KEPT (pick-wt=7): 13 [copy,12,flip.2] -aNaturalNumber0(A)|sdtasdt0(sz10,A)=A. % 1.97/2.12 ** KEPT (pick-wt=7): 14 [] -aNaturalNumber0(A)|sdtasdt0(A,sz00)=sz00. % 1.97/2.12 ** KEPT (pick-wt=7): 16 [copy,15,flip.2] -aNaturalNumber0(A)|sdtasdt0(sz00,A)=sz00. % 1.97/2.12 ** KEPT (pick-wt=19)Alarm clock % 299.90/300.04 Otter interrupted % 299.90/300.04 PROOF NOT FOUND %------------------------------------------------------------------------------