0.00/0.03	% Problem  : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.00/0.04	% Command  : prover9 -casc 180 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
0.10/0.36	% Computer : n029.cluster.edu
0.10/0.36	% Model    : x86_64 x86_64
0.10/0.36	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.10/0.36	% Memory   : 8046.5625MB
0.10/0.36	% OS       : Linux 6.8.0-71-generic
0.10/0.36	% CPULimit : 1440
0.10/0.36	% WCLimit  : 180
0.10/0.36	% DateTime : Mon Jul 27 09:50:16 UTC 2026
0.10/0.37	% CPUTime  : 
0.10/0.37	% Prover9 (64) version 2026-6A, July 2026, CASC-J13.
0.10/0.37	% Process 2692336 was started by sandbox2 on n029,
0.10/0.37	% Mon Jul 27 09:50:16 2026
0.10/0.37	% The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 180 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
45.56/45.89	
45.56/45.89	% From the command line: assign(max_seconds, 180).
45.56/45.89	
45.56/45.89	% SInE: 4 to sos, 2816 to usable, of 2820 axioms (tolerance 2.00, depth 0 fixpoint).
161.10/64.14	
161.10/64.14	% SZS status Theorem for theBenchmark
161.10/64.14	
161.10/64.14	% Proof 1 at 10.68 (+ 3.56) seconds.
161.10/64.14	% Length of proof is 5.
161.10/64.14	% Level of proof is 2.
161.10/64.14	% Maximum clause weight is 8.000.
161.10/64.14	% Given clauses 0.
161.10/64.14	
161.10/64.14	% SZS output start CNFRefutation for theBenchmark
161.10/64.14	fof($_discrim_Redblack.TREES.E$Redblack.TREES.T, axiom, ! [Vvar__0___24Anonymous__3183,Vvar__1___24Anonymous__3184,Vvar__2___24Anonymous__3185,Vvar__3___24Anonymous__3186,Vvar__4___24Anonymous__3187] : ~ (cRedblack_2eTREES_2eE = cRedblack_2eTREES_2eT___24a5(Vvar__0___24Anonymous__3183,Vvar__1___24Anonymous__3184,Vvar__2___24Anonymous__3185,Vvar__3___24Anonymous__3186,Vvar__4___24Anonymous__3187)), file('theBenchmark.p',$_discrim_Redblack.TREES.E$Redblack.TREES.T)).
161.10/64.14	fof(_HAMMER_GOAL, conjecture, ! [V0__c] : (cRedblack_2ecolor___24t(V0__c) => ! [V1__l] : (cRedblack_2eTREES_2etree___24t(V1__l) => ! [V2__k] : (cRedblack_2ekey___24t(V2__k) => ! [V3__v] : (cV___24t(V3__v) => ! [V4__r] : (cRedblack_2eTREES_2etree___24t(V4__r) => ~ (cRedblack_2eTREES_2eE = cRedblack_2eTREES_2eT___24a5(V0__c,V1__l,V2__k,V3__v,V4__r))))))), file('theBenchmark.p',_HAMMER_GOAL)).
161.10/64.14	fof(_HAMMER_GOAL_neg, negated_conjecture, ~(! [V0__c] : (cRedblack_2ecolor___24t(V0__c) => ! [V1__l] : (cRedblack_2eTREES_2etree___24t(V1__l) => ! [V2__k] : (cRedblack_2ekey___24t(V2__k) => ! [V3__v] : (cV___24t(V3__v) => ! [V4__r] : (cRedblack_2eTREES_2etree___24t(V4__r) => ~ (cRedblack_2eTREES_2eE = cRedblack_2eTREES_2eT___24a5(V0__c,V1__l,V2__k,V3__v,V4__r)))))))), inference(assume_negation, [status(cth)], [_HAMMER_GOAL])).
161.10/64.14	cnf(c_30527, plain, cRedblack_2eTREES_2eT___24a5(A,B,C,D,E) != cRedblack_2eTREES_2eE, inference(clausify, [status(thm)], [$_discrim_Redblack.TREES.E$Redblack.TREES.T])).
161.10/64.14	fof(nnf_2359, plain, ? [V0__c] : (? [V1__l] : (? [V2__k] : (? [V3__v] : (? [V4__r] : (cRedblack_2eTREES_2eT___24a5(V0__c,V1__l,V2__k,V3__v,V4__r) = cRedblack_2eTREES_2eE & cRedblack_2eTREES_2etree___24t(V4__r)) & cV___24t(V3__v)) & cRedblack_2ekey___24t(V2__k)) & cRedblack_2eTREES_2etree___24t(V1__l)) & cRedblack_2ecolor___24t(V0__c)), inference(fof_nnf, [status(thm)], [_HAMMER_GOAL_neg])).
161.10/64.14	fof(sk__HAMMER_GOAL_neg, plain, (cRedblack_2eTREES_2eT___24a5(sK0,sK1,sK2,sK3,sK4) = cRedblack_2eTREES_2eE & cRedblack_2eTREES_2etree___24t(sK4) & cV___24t(sK3) & cRedblack_2ekey___24t(sK2) & cRedblack_2eTREES_2etree___24t(sK1) & cRedblack_2ecolor___24t(sK0)), inference(skolemize, [status(esa), new_symbols(skolem, [sK0,sK1,sK2,sK3,sK4]), skolemize(V0__c,sK0), skolemize(V1__l,sK1), skolemize(V2__k,sK2), skolemize(V3__v,sK3), skolemize(V4__r,sK4)], [nnf_2359])).
161.10/64.14	cnf(c_30546, negated_conjecture, cRedblack_2eTREES_2eT___24a5(sK0,sK1,sK2,sK3,sK4) = cRedblack_2eTREES_2eE, inference(split_conjunct, [status(thm)], [sk__HAMMER_GOAL_neg])).
161.10/64.14	cnf(c_30548, negated_conjecture, cRedblack_2eTREES_2eE = cRedblack_2eTREES_2eT___24a5(sK0,sK1,sK2,sK3,sK4),
161.10/64.14	    inference(copy, [status(thm)], [c_30546])).
161.10/64.14	cnf(c_30547, negated_conjecture, $false,
161.10/64.14	    inference(resolve, [status(thm)], [c_30527, c_30548])).
161.10/64.14	% SZS output end CNFRefutation for theBenchmark
0.14/64.21	EOF