0.00/0.01	% Problem  : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.00/0.02	% Command  : tptp4X_and_run_prover9 1440 /export/starexec/sandbox2/benchmark/theBenchmark.p
0.02/0.29	% Computer : n012.cluster.edu
0.02/0.29	% Model    : x86_64 x86_64
0.02/0.29	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.02/0.29	% Memory   : 8046.5625MB
0.02/0.29	% OS       : Linux 6.8.0-71-generic
0.02/0.29	% CPULimit : 1440
0.02/0.29	% WCLimit  : 180
0.02/0.29	% DateTime : Mon Jul 27 10:20:18 UTC 2026
0.02/0.29	% CPUTime  : 
0.02/0.29	Running tptp4X_and_run_prover9 1440 /export/starexec/sandbox2/benchmark/theBenchmark.p
23.14/23.49	============================== Prover9 ===============================
23.14/23.49	Prover9 (64) version 2009-11A, November 2009.
23.14/23.49	Process 1861920 was started by sandbox2 on n012,
23.14/23.49	Mon Jul 27 10:20:18 2026
23.14/23.49	The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 1440 -f /tmp/Prover9_1861912_n012".
23.14/23.49	============================== end of head ===========================
23.14/23.49	
23.14/23.49	
23.14/23.49	% Starting search at 0.15 seconds.
23.14/23.49	
23.14/23.49	NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 876 (0.00 of 1.22 sec).
23.14/23.49	
23.14/23.49	Low Water (keep): wt=173.000, iters=3498
23.14/23.49	
23.14/23.49	Low Water (keep): wt=143.000, iters=3403
23.14/23.49	
23.14/23.49	Low Water (keep): wt=119.000, iters=3535
23.14/23.49	
23.14/23.49	Low Water (keep): wt=113.000, iters=3428
23.14/23.49	
23.14/23.49	Low Water (keep): wt=110.000, iters=3876
23.14/23.49	
23.14/23.49	Low Water (keep): wt=89.000, iters=3756
23.14/23.49	
23.14/23.49	Low Water (keep): wt=86.000, iters=3356
23.14/23.49	
23.14/23.49	Low Water (keep): wt=83.000, iters=3393
23.14/23.49	
23.14/23.49	Low Water (keep): wt=61.000, iters=3370
23.14/23.49	
23.14/23.49	Low Water (keep): wt=55.000, iters=3333
23.14/23.49	
23.14/23.49	Low Water (keep): wt=47.000, iters=3409
23.14/23.49	
23.14/23.49	Low Water (keep): wt=46.000, iters=3557
23.14/23.49	
23.14/23.49	Low Water (keep): wt=40.000, iters=3385
23.14/23.49	
23.14/23.49	Low Water (displace): id=6546, wt=179.000
23.14/23.49	
23.14/23.49	Low Water (displace): id=10958, wt=31.000
23.14/23.49	
23.14/23.49	Low Water (displace): id=10962, wt=22.000
23.14/23.49	
23.14/23.49	Low Water (keep): wt=34.000, iters=3414
23.14/23.49	
23.14/23.49	Low Water (displace): id=11750, wt=19.000
23.14/23.49	
23.14/23.49	Low Water (displace): id=12213, wt=16.000
23.14/23.49	
23.14/23.49	Low Water (keep): wt=31.000, iters=3361
23.14/23.49	
23.14/23.49	Low Water (keep): wt=30.000, iters=3348
23.14/23.49	
23.14/23.49	Low Water (keep): wt=29.000, iters=3338
23.14/23.49	
23.14/23.49	Low Water (keep): wt=28.000, iters=3336
23.14/23.49	
23.14/23.49	Low Water (displace): id=15465, wt=14.000
23.14/23.49	
23.14/23.49	Low Water (displace): id=15793, wt=13.000
23.14/23.49	
23.14/23.49	Low Water (keep): wt=27.000, iters=3345
23.14/23.49	
23.14/23.49	Low Water (keep): wt=26.000, iters=3337
23.14/23.49	
23.14/23.49	Low Water (keep): wt=25.000, iters=3350
23.14/23.49	
23.14/23.49	Low Water (displace): id=19085, wt=10.000
23.14/23.49	
23.14/23.49	Low Water (displace): id=19093, wt=8.000
23.14/23.49	
23.14/23.49	Low Water (displace): id=19629, wt=6.000
23.14/23.49	
23.14/23.49	Low Water (keep): wt=24.000, iters=3333
23.14/23.49	
23.14/23.49	Low Water (keep): wt=23.000, iters=3352
23.14/23.49	
23.14/23.49	Low Water (keep): wt=22.000, iters=3334
23.14/23.49	
23.14/23.49	Low Water (keep): wt=21.000, iters=3343
23.14/23.49	
23.14/23.49	Low Water (keep): wt=20.000, iters=3356
23.14/23.49	
23.14/23.49	Low Water (keep): wt=19.000, iters=3659
23.14/23.49	
23.14/23.49	Low Water (keep): wt=18.000, iters=3336
23.14/23.49	
23.14/23.49	Low Water (keep): wt=17.000, iters=3353
23.14/23.49	
23.14/23.49	Low Water (keep): wt=16.000, iters=3347
23.14/23.49	
23.14/23.49	Low Water (keep): wt=15.000, iters=3335
23.14/23.49	
23.14/23.49	Low Water (keep): wt=14.000, iters=3334
23.14/23.49	
23.14/23.49	Low Water (keep): wt=13.000, iters=3334
23.14/23.49	
23.14/23.49	Low Water (keep): wt=9.000, iters=3412
23.14/23.49	
23.14/23.49	============================== PROOF =================================
23.14/23.49	% SZS status Theorem
23.14/23.49	% SZS output start Refutation
23.14/23.49	
23.14/23.49	% Proof 1 at 22.63 (+ 0.55) seconds.
23.14/23.49	% Length of proof is 28.
23.14/23.49	% Level of proof is 6.
23.14/23.49	% Maximum clause weight is 19.000.
23.14/23.49	% Given clauses 3737.
23.14/23.49	
23.14/23.49	8 (all X all Y (gt(Y,X) <-> leq(X,pred(Y)))) # label(non_clause).  [assumption].
23.14/23.49	32 (all X all Y (Y != X & leq(X,Y) -> gt(Y,X))) # label(non_clause).  [assumption].
23.14/23.49	51 -(a_select2(rho_defuse,n0) = use & a_select2(rho_defuse,n1) = use & use = a_select2(sigma_defuse,n0) & a_select2(sigma_defuse,n1) = use & use = a_select2(sigma_defuse,n5) & use = a_select3(u_defuse,n0,n0) & use = a_select3(u_defuse,n1,n0) & use = a_select2(xinit_defuse,n4) & use = a_select2(xinit_mean_defuse,n0) & a_select2(xinit_mean_defuse,n2) = use & a_select2(xinit_mean_defuse,n3) = use & use = a_select2(xinit_mean_defuse,n4) & a_select2(xinit_noise_defuse,n0) = use & a_select2(xinit_noise_defuse,n1) = use & a_select2(xinit_noise_defuse,n2) = use & a_select2(xinit_noise_defuse,n4) = use & leq(n0,pv5) & gt(pv5,n0) & (all C all D (leq(n0,C) & leq(n0,D) & leq(D,pred(pv5)) & leq(C,n2) -> a_select3(z_defuse,C,D) = use)) & (all A all B (leq(n0,B) & leq(B,pred(pv5)) & leq(A,n2) & leq(n0,A) -> use = a_select3(u_defuse,A,B))) & leq(pv5,n998) & a_select2(xinit_noise_defuse,n5) = use & a_select2(xinit_noise_defuse,n3) = use & use = a_select2(xinit_mean_defuse,n5) & use = a_select2(xinit_mean_defuse,n1) & a_select2(xinit_defuse,n5) = use & use = a_select2(xinit_defuse,n3) & a_select3(u_defuse,n2,n0) = use & a_select2(sigma_defuse,n4) = use & a_select2(sigma_defuse,n3) = use & a_select2(sigma_defuse,n2) = use & use = a_select2(rho_defuse,n2) -> (all E all F (leq(n0,E) & leq(n0,F) & leq(E,n2) & leq(F,pv5) -> (-(E = n1 & F = pv5) & -(F = pv5 & E = n2) & -(n0 = E & F = pv5) -> a_select3(u_defuse,E,F) = use)))) # label(non_clause).  [assumption].
0.07/23.50	54 (all X (leq(X,n2) & leq(n0,X) -> X = n1 | X = n2 | n0 = X)) # label(non_clause).  [assumption].
0.07/23.50	95 -gt(A,B) | leq(B,pred(A)).  [clausify(8)].
0.07/23.50	267 A = B | -leq(B,A) | gt(A,B).  [clausify(32)].
0.07/23.50	355 -leq(n0,A) | -leq(A,pred(pv5)) | -leq(B,n2) | -leq(n0,B) | a_select3(u_defuse,B,A) = use.  [clausify(51)].
0.07/23.50	368 leq(n0,c1).  [clausify(51)].
0.07/23.50	369 leq(n0,c2).  [clausify(51)].
0.07/23.50	370 leq(c1,n2).  [clausify(51)].
0.07/23.50	371 leq(c2,pv5).  [clausify(51)].
0.07/23.50	372 n1 != c1 | pv5 != c2.  [clausify(51)].
0.07/23.50	373 c1 != n1 | c2 != pv5.  [copy(372),flip(a),flip(b)].
0.07/23.50	374 pv5 != c2 | n2 != c1.  [clausify(51)].
0.07/23.50	375 c2 != pv5 | c1 != n2.  [copy(374),flip(a),flip(b)].
0.07/23.50	376 c1 != n0 | pv5 != c2.  [clausify(51)].
0.07/23.50	377 c1 != n0 | c2 != pv5.  [copy(376),flip(b)].
0.07/23.50	378 a_select3(u_defuse,c1,c2) != use.  [clausify(51)].
0.07/23.50	393 -leq(A,n2) | -leq(n0,A) | n1 = A | n2 = A | n0 = A.  [clausify(54)].
0.07/23.50	2809 -leq(n0,A) | -leq(A,pred(pv5)) | a_select3(u_defuse,c1,A) = use.  [resolve(368,a,355,d),unit_del(c,370)].
0.07/23.50	4631 c2 = pv5 | gt(pv5,c2).  [resolve(371,a,267,b),flip(a)].
0.07/23.50	4911 c1 = n1 | c1 = n2 | c1 = n0.  [resolve(393,a,370,a),flip(b),flip(c),flip(d),unit_del(a,368)].
0.07/23.50	28370 c2 = pv5 | leq(c2,pred(pv5)).  [resolve(4631,b,95,a)].
0.07/23.50	48287 c2 = pv5.  [resolve(28370,b,2809,b),unit_del(b,369),unit_del(c,378)].
0.07/23.50	48529 c1 != n0.  [back_rewrite(377),rewrite([48287(4)]),xx(b)].
0.07/23.50	48530 c1 != n2.  [back_rewrite(375),rewrite([48287(1)]),xx(a)].
0.07/23.50	48531 c1 != n1.  [back_rewrite(373),rewrite([48287(4)]),xx(b)].
0.07/23.50	48551 $F.  [back_unit_del(4911),unit_del(a,48531),unit_del(b,48530),unit_del(c,48529)].
0.07/23.50	
0.07/23.50	% SZS output end Refutation
0.07/23.50	============================== end of proof ==========================
0.07/23.50	
0.07/23.50	
0.07/23.50	THEOREM PROVED
0.07/23.50	% SZS status Theorem
0.07/23.50	
0.07/23.50	Exiting with 1 proof.
0.07/23.50	
0.07/23.50	Process 1861920 exit (max_proofs) Mon Jul 27 10:20:41 2026
0.07/23.50	Prover9 ended
0.07/23.50	EOF