%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN088-1.010 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n006.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 : Thu Sep 24 03:18:56 PM UTC 2026
% Result : Unsatisfiable 0.09s 0.77s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN088-1.010 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.74 % Computer : n006.cluster.edu
% 0.09/0.74 % Model : x86_64 x86_64
% 0.09/0.74 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.74 % Memory : 8046.5625MB
% 0.09/0.74 % OS : Linux 6.8.0-71-generic
% 0.09/0.74 % CPULimit : 300
% 0.09/0.74 % WCLimit : 300
% 0.09/0.74 % DateTime : Mon Sep 21 10:42:45 UTC 2026
% 0.09/0.74 % CPUTime :
% 0.09/0.75 % Drodi V4.1.1
% 0.09/0.77 % Refutation found
% 0.09/0.77 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/0.77 % SZS output start CNFRefutation for theBenchmark
% 0.09/0.77 fof(f1,negated_conjecture,(
% 0.09/0.77 ~ p(a,a,a,a,a,a,a,a,a,a) ),
% 0.09/0.77 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.77 fof(f2,axiom,(
% 0.09/0.77 (![X_1,X_2,X_3,X_4,X_5,X_6,X_7,X_8,X_9,X_10]: (( p(X_1,X_2,X_3,X_4,X_5,X_6,X_7,X_8,X_9,X_10)| ~ q_1(X_1)| ~ q_2(X_2)| ~ q_3(X_3)| ~ q_4(X_4)| ~ q_5(X_5)| ~ q_6(X_6)| ~ q_7(X_7)| ~ q_8(X_8)| ~ q_9(X_9)| ~ q_10(X_10) ) ))),
% 0.09/0.77 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.77 fof(f3,axiom,(
% 0.09/0.77 q_1(a) ),
% 0.09/0.77 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.77 fof(f5,axiom,(
% 0.09/0.77 q_2(a) ),
% 0.09/0.77 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.77 fof(f7,axiom,(
% 0.09/0.77 q_3(a) ),
% 0.09/0.77 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.77 fof(f9,axiom,(
% 0.09/0.77 q_4(a) ),
% 0.09/0.77 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.77 fof(f11,axiom,(
% 0.09/0.77 q_5(a) ),
% 0.09/0.77 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.77 fof(f13,axiom,(
% 0.09/0.77 q_6(a) ),
% 0.09/0.77 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.77 fof(f15,axiom,(
% 0.09/0.77 q_7(a) ),
% 0.09/0.77 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.77 fof(f17,axiom,(
% 0.09/0.77 q_8(a) ),
% 0.09/0.77 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.77 fof(f19,axiom,(
% 0.09/0.77 q_9(a) ),
% 0.09/0.77 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.77 fof(f21,axiom,(
% 0.09/0.77 q_10(a) ),
% 0.09/0.77 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.77 fof(f23,plain,(
% 0.09/0.77 ~p(a,a,a,a,a,a,a,a,a,a)),
% 0.09/0.77 inference(cnf_transformation,[status(thm)],[f1])).
% 0.09/0.77 fof(f24,plain,(
% 0.09/0.77 ![X_10]: ((![X_9]: ((![X_8]: ((![X_7]: ((![X_6]: ((![X_5]: ((![X_4]: ((![X_3]: ((![X_2]: ((![X_1]: (p(X_1,X_2,X_3,X_4,X_5,X_6,X_7,X_8,X_9,X_10)|~q_1(X_1)))|~q_2(X_2)))|~q_3(X_3)))|~q_4(X_4)))|~q_5(X_5)))|~q_6(X_6)))|~q_7(X_7)))|~q_8(X_8)))|~q_9(X_9)))|~q_10(X_10))),
% 0.09/0.77 inference(miniscoping,[status(thm)],[f2])).
% 0.09/0.77 fof(f25,plain,(
% 0.09/0.77 ![X0,X1,X2,X3,X4,X5,X6,X7,X8,X9]: (p(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9)|~q_1(X0)|~q_2(X1)|~q_3(X2)|~q_4(X3)|~q_5(X4)|~q_6(X5)|~q_7(X6)|~q_8(X7)|~q_9(X8)|~q_10(X9))),
% 0.09/0.77 inference(cnf_transformation,[status(thm)],[f24])).
% 0.09/0.77 fof(f26,plain,(
% 0.09/0.77 q_1(a)),
% 0.09/0.77 inference(cnf_transformation,[status(thm)],[f3])).
% 0.09/0.77 fof(f28,plain,(
% 0.09/0.77 q_2(a)),
% 0.09/0.77 inference(cnf_transformation,[status(thm)],[f5])).
% 0.09/0.77 fof(f30,plain,(
% 0.09/0.77 q_3(a)),
% 0.09/0.77 inference(cnf_transformation,[status(thm)],[f7])).
% 0.09/0.77 fof(f32,plain,(
% 0.09/0.77 q_4(a)),
% 0.09/0.77 inference(cnf_transformation,[status(thm)],[f9])).
% 0.09/0.77 fof(f34,plain,(
% 0.09/0.77 q_5(a)),
% 0.09/0.77 inference(cnf_transformation,[status(thm)],[f11])).
% 0.09/0.77 fof(f36,plain,(
% 0.09/0.77 q_6(a)),
% 0.09/0.77 inference(cnf_transformation,[status(thm)],[f13])).
% 0.09/0.77 fof(f38,plain,(
% 0.09/0.77 q_7(a)),
% 0.09/0.77 inference(cnf_transformation,[status(thm)],[f15])).
% 0.09/0.77 fof(f40,plain,(
% 0.09/0.77 q_8(a)),
% 0.09/0.77 inference(cnf_transformation,[status(thm)],[f17])).
% 0.09/0.77 fof(f42,plain,(
% 0.09/0.77 q_9(a)),
% 0.09/0.77 inference(cnf_transformation,[status(thm)],[f19])).
% 0.09/0.77 fof(f44,plain,(
% 0.09/0.77 q_10(a)),
% 0.09/0.77 inference(cnf_transformation,[status(thm)],[f21])).
% 0.09/0.77 fof(f46,plain,(
% 0.09/0.77 ![X0,X1,X2,X3,X4,X5,X6,X7,X8]: (p(X0,X1,a,X2,X3,X4,X5,X6,X7,X8)|~q_1(X0)|~q_2(X1)|~q_4(X2)|~q_5(X3)|~q_6(X4)|~q_7(X5)|~q_8(X6)|~q_9(X7)|~q_10(X8))),
% 0.09/0.77 inference(resolution,[status(thm)],[f30,f25])).
% 0.09/0.77 fof(f62,plain,(
% 0.09/0.77 ~q_1(a)|~q_2(a)|~q_4(a)|~q_5(a)|~q_6(a)|~q_7(a)|~q_8(a)|~q_9(a)|~q_10(a)),
% 0.09/0.77 inference(resolution,[status(thm)],[f46,f23])).
% 0.09/0.77 fof(f63,definition,(
% 0.09/0.77 sQ0_spl <=> (q_1(a))),
% 0.09/0.77 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.09/0.77 fof(f65,plain,(
% 0.09/0.77 ~q_1(a)|sQ0_spl),
% 0.09/0.77 inference(component_clause,[status(thm)],[f63])).
% 0.09/0.77 fof(f66,definition,(
% 0.09/0.77 sQ1_spl <=> (q_2(a))),
% 0.09/0.77 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.09/0.77 fof(f68,plain,(
% 0.09/0.77 ~q_2(a)|sQ1_spl),
% 0.09/0.77 inference(component_clause,[status(thm)],[f66])).
% 0.09/0.77 fof(f69,definition,(
% 0.09/0.77 sQ2_spl <=> (q_4(a))),
% 0.09/0.77 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.09/0.77 fof(f71,plain,(
% 0.09/0.77 ~q_4(a)|sQ2_spl),
% 0.09/0.77 inference(component_clause,[status(thm)],[f69])).
% 0.09/0.77 fof(f72,definition,(
% 0.09/0.77 sQ3_spl <=> (q_5(a))),
% 0.09/0.77 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.09/0.77 fof(f74,plain,(
% 0.09/0.77 ~q_5(a)|sQ3_spl),
% 0.09/0.77 inference(component_clause,[status(thm)],[f72])).
% 0.09/0.77 fof(f75,definition,(
% 0.09/0.77 sQ4_spl <=> (q_6(a))),
% 0.09/0.77 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.09/0.77 fof(f77,plain,(
% 0.09/0.77 ~q_6(a)|sQ4_spl),
% 0.09/0.77 inference(component_clause,[status(thm)],[f75])).
% 0.09/0.77 fof(f78,definition,(
% 0.09/0.77 sQ5_spl <=> (q_7(a))),
% 0.09/0.77 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.09/0.77 fof(f80,plain,(
% 0.09/0.77 ~q_7(a)|sQ5_spl),
% 0.09/0.77 inference(component_clause,[status(thm)],[f78])).
% 0.09/0.77 fof(f81,definition,(
% 0.09/0.77 sQ6_spl <=> (q_8(a))),
% 0.09/0.77 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.09/0.77 fof(f83,plain,(
% 0.09/0.77 ~q_8(a)|sQ6_spl),
% 0.09/0.77 inference(component_clause,[status(thm)],[f81])).
% 0.09/0.77 fof(f84,definition,(
% 0.09/0.77 sQ7_spl <=> (q_9(a))),
% 0.09/0.77 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.09/0.77 fof(f86,plain,(
% 0.09/0.77 ~q_9(a)|sQ7_spl),
% 0.09/0.77 inference(component_clause,[status(thm)],[f84])).
% 0.09/0.77 fof(f87,definition,(
% 0.09/0.77 sQ8_spl <=> (q_10(a))),
% 0.09/0.77 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.09/0.77 fof(f89,plain,(
% 0.09/0.77 ~q_10(a)|sQ8_spl),
% 0.09/0.77 inference(component_clause,[status(thm)],[f87])).
% 0.09/0.77 fof(f90,plain,(
% 0.09/0.77 ~sQ0_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl|~sQ4_spl|~sQ5_spl|~sQ6_spl|~sQ7_spl|~sQ8_spl),
% 0.09/0.77 inference(split_clause,[status(thm)],[f62,f63,f66,f69,f72,f75,f78,f81,f84,f87])).
% 0.09/0.77 fof(f91,plain,(
% 0.09/0.77 $false|sQ8_spl),
% 0.09/0.77 inference(forward_subsumption_resolution,[status(thm)],[f89,f44])).
% 0.09/0.77 fof(f92,plain,(
% 0.09/0.77 sQ8_spl),
% 0.09/0.77 inference(contradiction_clause,[status(thm)],[f91])).
% 0.09/0.77 fof(f93,plain,(
% 0.09/0.77 $false|sQ7_spl),
% 0.09/0.77 inference(forward_subsumption_resolution,[status(thm)],[f86,f42])).
% 0.09/0.77 fof(f94,plain,(
% 0.09/0.77 sQ7_spl),
% 0.09/0.77 inference(contradiction_clause,[status(thm)],[f93])).
% 0.09/0.77 fof(f95,plain,(
% 0.09/0.77 $false|sQ6_spl),
% 0.09/0.77 inference(forward_subsumption_resolution,[status(thm)],[f83,f40])).
% 0.09/0.77 fof(f96,plain,(
% 0.09/0.77 sQ6_spl),
% 0.09/0.77 inference(contradiction_clause,[status(thm)],[f95])).
% 0.09/0.77 fof(f97,plain,(
% 0.09/0.77 $false|sQ5_spl),
% 0.09/0.77 inference(forward_subsumption_resolution,[status(thm)],[f80,f38])).
% 0.09/0.77 fof(f98,plain,(
% 0.09/0.77 sQ5_spl),
% 0.09/0.77 inference(contradiction_clause,[status(thm)],[f97])).
% 0.09/0.77 fof(f99,plain,(
% 0.09/0.77 $false|sQ4_spl),
% 0.09/0.77 inference(forward_subsumption_resolution,[status(thm)],[f77,f36])).
% 0.09/0.77 fof(f100,plain,(
% 0.09/0.77 sQ4_spl),
% 0.09/0.77 inference(contradiction_clause,[status(thm)],[f99])).
% 0.09/0.77 fof(f101,plain,(
% 0.09/0.77 $false|sQ3_spl),
% 0.09/0.77 inference(forward_subsumption_resolution,[status(thm)],[f74,f34])).
% 0.09/0.77 fof(f102,plain,(
% 0.09/0.77 sQ3_spl),
% 0.09/0.77 inference(contradiction_clause,[status(thm)],[f101])).
% 0.09/0.77 fof(f103,plain,(
% 0.09/0.77 $false|sQ2_spl),
% 0.09/0.77 inference(forward_subsumption_resolution,[status(thm)],[f71,f32])).
% 0.09/0.77 fof(f104,plain,(
% 0.09/0.77 sQ2_spl),
% 0.09/0.77 inference(contradiction_clause,[status(thm)],[f103])).
% 0.09/0.77 fof(f105,plain,(
% 0.09/0.77 $false|sQ0_spl),
% 0.09/0.77 inference(forward_subsumption_resolution,[status(thm)],[f65,f26])).
% 0.09/0.77 fof(f106,plain,(
% 0.09/0.77 sQ0_spl),
% 0.09/0.77 inference(contradiction_clause,[status(thm)],[f105])).
% 0.09/0.77 fof(f107,plain,(
% 0.09/0.77 $false|sQ1_spl),
% 0.09/0.77 inference(forward_subsumption_resolution,[status(thm)],[f68,f28])).
% 0.09/0.77 fof(f108,plain,(
% 0.09/0.77 sQ1_spl),
% 0.09/0.77 inference(contradiction_clause,[status(thm)],[f107])).
% 0.09/0.77 fof(f109,plain,(
% 0.09/0.77 $false),
% 0.09/0.77 inference(sat_refutation,[status(thm)],[f90,f92,f94,f96,f98,f100,f102,f104,f106,f108])).
% 0.09/0.77 % SZS output end CNFRefutation for theBenchmark.p
% 0.09/0.79 % Elapsed time: 0.046089 seconds
% 0.09/0.79 % CPU time: 0.138641 seconds
% 0.09/0.79 % Total memory used: 47.365 MB
% 0.09/0.79 % Net memory used: 47.096 MB
%------------------------------------------------------------------------------