%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SEV664+1 : TPTP v9.3.1. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun Sep 27 08:50:24 AM UTC 2026
% Result : Theorem 41.31s 14.52s
% Output : CNFRefutation 41.31s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEV664+1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.38 % Computer : n018.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Sat Sep 26 11:36:07 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.10/0.38 % Process 346771 was started by sandbox2 on n018,
% 0.10/0.38 % Sat Sep 26 11:36:07 2026
% 0.10/0.38 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 8.94/9.23
% 8.94/9.23 % From the command line: assign(max_seconds, 300).
% 8.94/9.23
% 8.94/9.23 % SInE: 0 to sos, 2538 to usable, of 2538 axioms (tolerance 2.00, depth 0 fixpoint).
% 41.31/14.52
% 41.31/14.52 % SZS status Theorem for theBenchmark
% 41.31/14.52
% 41.31/14.52 % Proof 1 at 3.02 (+ 1.11) seconds.
% 41.31/14.52 % Length of proof is 5.
% 41.31/14.52 % Level of proof is 2.
% 41.31/14.52 % Maximum clause weight is 8.000.
% 41.31/14.52 % Given clauses 0.
% 41.31/14.52
% 41.31/14.52 % SZS output start CNFRefutation for theBenchmark
% 41.31/14.52 fof(_HAMMER_GOAL, conjecture, ! [V0__P] : (cProp___24t(V0__P) => ! [V1__Q] : (cProp___24t(V1__Q) => (V0__P = V1__Q => (p(V0__P) => p(V1__Q))))), file('theBenchmark.p',_HAMMER_GOAL)).
% 41.31/14.52 fof(_HAMMER_GOAL_neg, negated_conjecture, ~(! [V0__P] : (cProp___24t(V0__P) => ! [V1__Q] : (cProp___24t(V1__Q) => (V0__P = V1__Q => (p(V0__P) => p(V1__Q)))))), inference(assume_negation, [status(cth)], [_HAMMER_GOAL])).
% 41.31/14.52 fof(nnf_1878, plain, ? [V0__P] : (cProp___24t(V0__P) & ? [V1__Q] : (cProp___24t(V1__Q) & V1__Q = V0__P & p(V0__P) & ~ (p(V1__Q)))), inference(fof_nnf, [status(thm)], [_HAMMER_GOAL_neg])).
% 41.31/14.52 fof(sk__HAMMER_GOAL_neg, plain, (cProp___24t(sK1) & cProp___24t(sK0) & sK0 = sK1 & p(sK1) & ~ (p(sK0))), inference(skolemize, [status(esa), new_symbols(skolem, [sK1,sK0]), skolemize(V0__P,sK1), skolemize(V1__Q,sK0)], [nnf_1878])).
% 41.31/14.52 cnf(c_17259, negated_conjecture, sK0 = sK1, inference(split_conjunct, [status(thm)], [sk__HAMMER_GOAL_neg])).
% 41.31/14.52 cnf(c_17260, negated_conjecture, p(sK1), inference(split_conjunct, [status(thm)], [sk__HAMMER_GOAL_neg])).
% 41.31/14.52 cnf(c_17261, negated_conjecture, ~p(sK0), inference(split_conjunct, [status(thm)], [sk__HAMMER_GOAL_neg])).
% 41.31/14.52 cnf(c_17263, negated_conjecture, ~p(sK1),
% 41.31/14.52 inference(paramod, [status(thm)], [c_17259, c_17261])).
% 41.31/14.52 cnf(c_17262, negated_conjecture, $false,
% 41.31/14.52 inference(resolve, [status(thm)], [c_17260, c_17263])).
% 41.31/14.52 % SZS output end CNFRefutation for theBenchmark
%------------------------------------------------------------------------------