%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWC372-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n014.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 02:42:18 PM UTC 2026
% Result : Unsatisfiable 4.69s 1.08s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC372-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.36 % Computer : n014.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Mon Sep 21 08:19:20 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.11/0.38 % Drodi V4.1.1
% 4.69/1.08 % Refutation found
% 4.69/1.08 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 4.69/1.08 % SZS output start CNFRefutation for theBenchmark
% 4.69/1.08 fof(f8,axiom,(
% 4.69/1.08 ssList(nil) ),
% 4.69/1.08 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.69/1.08 fof(f73,axiom,(
% 4.69/1.08 (![U]: (( ~ ssList(U)| app(U,nil) = U ) ))),
% 4.69/1.08 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.69/1.08 fof(f74,axiom,(
% 4.69/1.08 (![U]: (( ~ ssList(U)| app(nil,U) = U ) ))),
% 4.69/1.08 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.69/1.08 fof(f85,axiom,(
% 4.69/1.08 (![U,V]: (( ~ ssList(U)| ~ ssList(V)| ssList(app(V,U)) ) ))),
% 4.69/1.08 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.69/1.08 fof(f173,axiom,(
% 4.69/1.08 (![U,V,W,X]: (( app(app(U,V),W) != X| ~ ssList(W)| ~ ssList(U)| ~ ssList(V)| ~ ssList(X)| segmentP(X,V) ) ))),
% 4.69/1.08 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.69/1.08 fof(f186,negated_conjecture,(
% 4.69/1.08 ssList(sk1) ),
% 4.69/1.08 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.69/1.08 fof(f188,negated_conjecture,(
% 4.69/1.08 ssList(sk3) ),
% 4.69/1.08 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.69/1.08 fof(f190,negated_conjecture,(
% 4.69/1.08 sk2 = sk4 ),
% 4.69/1.08 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.69/1.08 fof(f191,negated_conjecture,(
% 4.69/1.08 sk1 = sk3 ),
% 4.69/1.08 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.69/1.08 fof(f192,negated_conjecture,(
% 4.69/1.08 ssList(sk5) ),
% 4.69/1.08 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.69/1.08 fof(f193,negated_conjecture,(
% 4.69/1.08 app(sk3,sk5) = sk4 ),
% 4.69/1.08 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.69/1.08 fof(f196,negated_conjecture,(
% 4.69/1.08 ~ segmentP(sk2,sk1) ),
% 4.69/1.08 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.69/1.08 fof(f205,plain,(
% 4.69/1.08 ssList(nil)),
% 4.69/1.08 inference(cnf_transformation,[status(thm)],[f8])).
% 4.69/1.08 fof(f271,plain,(
% 4.69/1.08 ![X0]: (~ssList(X0)|app(X0,nil)=X0)),
% 4.69/1.08 inference(cnf_transformation,[status(thm)],[f73])).
% 4.69/1.08 fof(f272,plain,(
% 4.69/1.08 ![X0]: (~ssList(X0)|app(nil,X0)=X0)),
% 4.69/1.08 inference(cnf_transformation,[status(thm)],[f74])).
% 4.69/1.08 fof(f283,plain,(
% 4.69/1.08 ![X0,X1]: (~ssList(X0)|~ssList(X1)|ssList(app(X1,X0)))),
% 4.69/1.08 inference(cnf_transformation,[status(thm)],[f85])).
% 4.69/1.08 fof(f403,plain,(
% 4.69/1.08 ![V,X]: ((((![U]: ((![W]: (~app(app(U,V),W)=X|~ssList(W)))|~ssList(U)))|~ssList(V))|~ssList(X))|segmentP(X,V))),
% 4.69/1.08 inference(miniscoping,[status(thm)],[f173])).
% 4.69/1.08 fof(f404,plain,(
% 4.69/1.08 ![X0,X1,X2,X3]: (~app(app(X0,X1),X2)=X3|~ssList(X2)|~ssList(X0)|~ssList(X1)|~ssList(X3)|segmentP(X3,X1))),
% 4.69/1.08 inference(cnf_transformation,[status(thm)],[f403])).
% 4.69/1.08 fof(f428,plain,(
% 4.69/1.08 ssList(sk1)),
% 4.69/1.08 inference(cnf_transformation,[status(thm)],[f186])).
% 4.69/1.08 fof(f430,plain,(
% 4.69/1.08 ssList(sk3)),
% 4.69/1.08 inference(cnf_transformation,[status(thm)],[f188])).
% 4.69/1.08 fof(f432,plain,(
% 4.69/1.08 sk2=sk4),
% 4.69/1.08 inference(cnf_transformation,[status(thm)],[f190])).
% 4.69/1.08 fof(f433,plain,(
% 4.69/1.08 sk1=sk3),
% 4.69/1.08 inference(cnf_transformation,[status(thm)],[f191])).
% 4.69/1.08 fof(f434,plain,(
% 4.69/1.08 ssList(sk5)),
% 4.69/1.08 inference(cnf_transformation,[status(thm)],[f192])).
% 4.69/1.08 fof(f435,plain,(
% 4.69/1.08 app(sk3,sk5)=sk4),
% 4.69/1.08 inference(cnf_transformation,[status(thm)],[f193])).
% 4.69/1.08 fof(f439,plain,(
% 4.69/1.08 ~segmentP(sk2,sk1)),
% 4.69/1.08 inference(cnf_transformation,[status(thm)],[f196])).
% 4.69/1.08 fof(f473,plain,(
% 4.69/1.08 ![X0,X1,X2]: (~ssList(X0)|~ssList(X1)|~ssList(X2)|~ssList(app(app(X1,X2),X0))|segmentP(app(app(X1,X2),X0),X2))),
% 4.69/1.08 inference(destructive_equality_resolution,[status(thm)],[f404])).
% 4.69/1.08 fof(f484,plain,(
% 4.69/1.08 app(sk3,sk5)=sk2),
% 4.69/1.08 inference(backward_demodulation,[status(thm)],[f432,f435])).
% 4.69/1.08 fof(f491,plain,(
% 4.69/1.08 app(sk5,nil)=sk5),
% 4.69/1.08 inference(resolution,[status(thm)],[f271,f434])).
% 4.69/1.08 fof(f495,plain,(
% 4.69/1.08 app(sk1,nil)=sk1),
% 4.69/1.08 inference(resolution,[status(thm)],[f271,f428])).
% 4.69/1.08 fof(f503,plain,(
% 4.69/1.08 app(nil,sk3)=sk3),
% 4.69/1.08 inference(resolution,[status(thm)],[f272,f430])).
% 4.69/1.08 fof(f520,plain,(
% 4.69/1.08 app(sk1,sk5)=sk2),
% 4.69/1.08 inference(backward_demodulation,[status(thm)],[f433,f484])).
% 4.69/1.08 fof(f526,definition,(
% 4.69/1.08 sQ4_spl <=> (ssList(nil))),
% 4.69/1.08 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 4.69/1.08 fof(f528,plain,(
% 4.69/1.08 ~ssList(nil)|sQ4_spl),
% 4.69/1.08 inference(component_clause,[status(thm)],[f526])).
% 4.69/1.08 fof(f534,plain,(
% 4.69/1.08 $false|sQ4_spl),
% 4.69/1.08 inference(forward_subsumption_resolution,[status(thm)],[f528,f205])).
% 4.69/1.08 fof(f535,plain,(
% 4.69/1.08 sQ4_spl),
% 4.69/1.08 inference(contradiction_clause,[status(thm)],[f534])).
% 4.69/1.08 fof(f536,plain,(
% 4.69/1.08 app(nil,sk1)=sk3),
% 4.69/1.08 inference(forward_demodulation,[status(thm)],[f433,f503])).
% 4.69/1.08 fof(f537,plain,(
% 4.69/1.08 app(nil,sk1)=sk1),
% 4.69/1.08 inference(forward_demodulation,[status(thm)],[f433,f536])).
% 4.69/1.08 fof(f573,plain,(
% 4.69/1.08 ![X0]: (~ssList(X0)|ssList(app(sk5,X0)))),
% 4.69/1.08 inference(resolution,[status(thm)],[f283,f434])).
% 4.69/1.08 fof(f576,plain,(
% 4.69/1.08 ![X0]: (~ssList(X0)|ssList(app(sk1,X0)))),
% 4.69/1.08 inference(resolution,[status(thm)],[f283,f428])).
% 4.69/1.08 fof(f605,plain,(
% 4.69/1.08 ~ssList(nil)|ssList(sk5)),
% 4.69/1.08 inference(paramodulation,[status(thm)],[f491,f573])).
% 4.69/1.08 fof(f606,definition,(
% 4.69/1.08 sQ6_spl <=> (ssList(sk5))),
% 4.69/1.08 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 4.69/1.08 fof(f609,plain,(
% 4.69/1.08 ~sQ4_spl|sQ6_spl),
% 4.69/1.08 inference(split_clause,[status(thm)],[f605,f526,f606])).
% 4.69/1.08 fof(f633,definition,(
% 4.69/1.08 sQ8_spl <=> (ssList(sk1))),
% 4.69/1.08 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 4.69/1.08 fof(f646,plain,(
% 4.69/1.08 ~ssList(nil)|ssList(sk1)),
% 4.69/1.08 inference(paramodulation,[status(thm)],[f495,f576])).
% 4.69/1.08 fof(f648,plain,(
% 4.69/1.08 ~sQ4_spl|sQ8_spl),
% 4.69/1.08 inference(split_clause,[status(thm)],[f646,f526,f633])).
% 4.69/1.08 fof(f2349,plain,(
% 4.69/1.08 ![X0]: (~ssList(X0)|~ssList(nil)|~ssList(sk1)|~ssList(app(sk1,X0))|segmentP(app(app(nil,sk1),X0),sk1))),
% 4.69/1.08 inference(paramodulation,[status(thm)],[f537,f473])).
% 4.69/1.08 fof(f2429,definition,(
% 4.69/1.08 ![X0]: (sQ62_spl <=> (~ssList(X0)|~ssList(app(sk1,X0))|segmentP(app(app(nil,sk1),X0),sk1)))),
% 4.69/1.08 introduced(definition,[new_symbols(definition,[sQ62_spl])],[split_symbol_definition])).
% 4.69/1.08 fof(f2430,plain,(
% 4.69/1.08 ![X0]: (~ssList(X0)|~ssList(app(sk1,X0))|segmentP(app(app(nil,sk1),X0),sk1)|~sQ62_spl)),
% 4.69/1.08 inference(component_clause,[status(thm)],[f2429])).
% 4.69/1.08 fof(f2432,plain,(
% 4.69/1.08 sQ62_spl|~sQ4_spl|~sQ8_spl),
% 4.69/1.08 inference(split_clause,[status(thm)],[f2349,f2429,f526,f633])).
% 4.69/1.08 fof(f2457,plain,(
% 4.69/1.08 ![X0]: (~ssList(X0)|~ssList(app(sk1,X0))|segmentP(app(sk1,X0),sk1)|~sQ62_spl)),
% 4.69/1.08 inference(forward_demodulation,[status(thm)],[f537,f2430])).
% 4.69/1.08 fof(f2458,plain,(
% 4.69/1.08 ![X0]: (~ssList(X0)|segmentP(app(sk1,X0),sk1)|~sQ62_spl)),
% 4.69/1.08 inference(forward_subsumption_resolution,[status(thm)],[f2457,f576])).
% 4.69/1.08 fof(f2598,plain,(
% 4.69/1.08 ~ssList(sk5)|segmentP(sk2,sk1)|~sQ62_spl),
% 4.69/1.08 inference(paramodulation,[status(thm)],[f520,f2458])).
% 4.69/1.08 fof(f2612,definition,(
% 4.69/1.08 sQ91_spl <=> (segmentP(sk2,sk1))),
% 4.69/1.08 introduced(definition,[new_symbols(definition,[sQ91_spl])],[split_symbol_definition])).
% 4.69/1.08 fof(f2613,plain,(
% 4.69/1.08 segmentP(sk2,sk1)|~sQ91_spl),
% 4.69/1.08 inference(component_clause,[status(thm)],[f2612])).
% 4.69/1.08 fof(f2615,plain,(
% 4.69/1.08 ~sQ6_spl|sQ91_spl|~sQ62_spl),
% 4.69/1.08 inference(split_clause,[status(thm)],[f2598,f606,f2612,f2429])).
% 4.69/1.08 fof(f2623,plain,(
% 4.69/1.08 $false|~sQ91_spl),
% 4.69/1.08 inference(forward_subsumption_resolution,[status(thm)],[f2613,f439])).
% 4.69/1.08 fof(f2624,plain,(
% 4.69/1.08 ~sQ91_spl),
% 4.69/1.08 inference(contradiction_clause,[status(thm)],[f2623])).
% 4.69/1.08 fof(f2625,plain,(
% 4.69/1.08 $false),
% 4.69/1.08 inference(sat_refutation,[status(thm)],[f535,f609,f648,f2432,f2615,f2624])).
% 4.69/1.08 % SZS output end CNFRefutation for theBenchmark.p
% 1.98/1.11 % Elapsed time: 0.733666 seconds
% 1.98/1.11 % CPU time: 5.482974 seconds
% 1.98/1.11 % Total memory used: 200.599 MB
% 1.98/1.11 % Net memory used: 195.791 MB
%------------------------------------------------------------------------------