%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : GRP060-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -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 12:32:25 PM UTC 2026
% Result : Unsatisfiable 224.68s 29.00s
% Output : CNFRefutation 181.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 41
% Number of leaves : 5
% Syntax : Number of formulae : 88 ( 75 unt; 3 def)
% Number of atoms : 104 ( 84 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 29 ( 13 ~; 13 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 18 ( 3 avg)
% Number of predicates : 5 ( 3 usr; 4 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-2 aty)
% Number of variables : 266 ( 266 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X,Y,Z,U] : multiply(X,inverse(multiply(Y,multiply(Z,multiply(multiply(inverse(Z),inverse(multiply(U,Y))),X))))) = U,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(multiply(inverse(b2),b2),a2) != a2
| multiply(inverse(a1),a1) != multiply(inverse(b1),b1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,plain,
! [X0,X1,X2,X3] : multiply(X0,inverse(multiply(X1,multiply(X2,multiply(multiply(inverse(X2),inverse(multiply(X3,X1))),X0))))) = X3,
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f4,plain,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(multiply(inverse(b2),b2),a2) != a2
| multiply(inverse(a1),a1) != multiply(inverse(b1),b1) ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f5,definition,
( sQ0_spl
<=> multiply(inverse(a1),a1) = multiply(inverse(b1),b1) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f7,plain,
( sQ0_spl
| multiply(inverse(a1),a1) != multiply(inverse(b1),b1) ),
inference(component_clause,[status(thm)],[f5]) ).
fof(f8,definition,
( sQ1_spl
<=> multiply(multiply(inverse(b2),b2),a2) = a2 ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f10,plain,
( sQ1_spl
| multiply(multiply(inverse(b2),b2),a2) != a2 ),
inference(component_clause,[status(thm)],[f8]) ).
fof(f11,definition,
( sQ2_spl
<=> multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3)) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f13,plain,
( sQ2_spl
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ),
inference(component_clause,[status(thm)],[f11]) ).
fof(f14,plain,
( ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f4,f5,f8,f11]) ).
fof(f16,plain,
! [X0,X1,X2,X3,X4] : multiply(X0,inverse(multiply(multiply(X1,multiply(multiply(inverse(X1),inverse(multiply(X2,X3))),inverse(X4))),multiply(X4,multiply(X2,X0))))) = X3,
inference(paramodulation,[status(thm)],[f3,f3]) ).
fof(f21,plain,
! [X0,X1,X2,X3,X4,X5] : multiply(X0,inverse(multiply(multiply(X1,multiply(X2,inverse(X3))),multiply(X3,multiply(X4,X0))))) = multiply(X5,multiply(multiply(inverse(X5),inverse(multiply(X2,X4))),inverse(X1))),
inference(paramodulation,[status(thm)],[f3,f16]) ).
fof(f22,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] : multiply(X0,inverse(multiply(multiply(X1,multiply(multiply(inverse(X1),inverse(X2)),inverse(X3))),multiply(X3,multiply(X4,X0))))) = inverse(multiply(multiply(X5,multiply(multiply(inverse(X5),inverse(multiply(X6,X2))),inverse(X7))),multiply(X7,multiply(X6,X4)))),
inference(paramodulation,[status(thm)],[f16,f16]) ).
fof(f25,plain,
! [X0,X1,X2,X3,X4,X5,X6] : multiply(inverse(multiply(X0,multiply(X1,multiply(multiply(inverse(X1),inverse(multiply(X2,X0))),X3)))),inverse(multiply(multiply(X4,multiply(multiply(inverse(X4),inverse(multiply(X3,X5))),inverse(X6))),multiply(X6,X2)))) = X5,
inference(paramodulation,[status(thm)],[f3,f16]) ).
fof(f29,plain,
! [X0,X1,X2,X3] : X0 = multiply(X1,multiply(multiply(inverse(X1),inverse(multiply(multiply(inverse(X2),inverse(multiply(X3,X0))),X3))),inverse(X2))),
inference(paramodulation,[status(thm)],[f16,f21]) ).
fof(f63,plain,
! [X0,X1,X2,X3,X4] : multiply(inverse(X0),inverse(multiply(X1,multiply(X2,inverse(multiply(multiply(X0,multiply(X3,inverse(X4))),multiply(X4,multiply(X1,X2)))))))) = X3,
inference(paramodulation,[status(thm)],[f21,f3]) ).
fof(f132,plain,
! [X0,X1,X2,X3] : multiply(inverse(X0),inverse(multiply(multiply(inverse(X1),inverse(multiply(X2,multiply(X0,multiply(X3,inverse(X1)))))),X2))) = X3,
inference(paramodulation,[status(thm)],[f3,f63]) ).
fof(f183,plain,
! [X0,X1,X2,X3,X4] : multiply(X0,inverse(multiply(X1,multiply(X2,multiply(X3,X0))))) = multiply(inverse(X4),inverse(multiply(X1,multiply(X2,multiply(X3,inverse(X4)))))),
inference(paramodulation,[status(thm)],[f132,f3]) ).
fof(f261,plain,
! [X0,X1,X2,X3] : multiply(inverse(X0),inverse(multiply(multiply(X1,inverse(multiply(X2,multiply(X0,multiply(X3,X1))))),X2))) = X3,
inference(paramodulation,[status(thm)],[f183,f132]) ).
fof(f267,plain,
! [X0,X1,X2,X3,X4,X5] : multiply(X0,inverse(multiply(multiply(X1,multiply(X2,inverse(X3))),multiply(X3,multiply(multiply(X4,inverse(multiply(X5,multiply(X1,multiply(X2,X4))))),X0))))) = X5,
inference(paramodulation,[status(thm)],[f183,f3]) ).
fof(f310,plain,
! [X0,X1,X2,X3,X4] : X0 = multiply(X1,multiply(multiply(inverse(X1),inverse(multiply(X2,multiply(X3,inverse(multiply(X0,multiply(X4,multiply(X2,X3)))))))),inverse(X4))),
inference(paramodulation,[status(thm)],[f261,f29]) ).
fof(f1481,plain,
! [X0,X1,X2,X3,X4] : X0 = inverse(multiply(multiply(X1,multiply(multiply(inverse(X1),inverse(multiply(X2,multiply(X3,X0)))),inverse(X4))),multiply(X4,multiply(X2,X3)))),
inference(paramodulation,[status(thm)],[f16,f22]) ).
fof(f1701,plain,
! [X0,X1,X2,X3,X4] : multiply(X0,multiply(X1,inverse(multiply(multiply(X2,multiply(multiply(inverse(X2),inverse(X3)),inverse(X4))),multiply(X4,multiply(X0,X1)))))) = X3,
inference(paramodulation,[status(thm)],[f22,f16]) ).
fof(f1763,plain,
! [X0,X1,X2,X3] : X0 = inverse(multiply(X1,multiply(X2,multiply(multiply(inverse(X2),inverse(multiply(multiply(X3,X0),X1))),X3)))),
inference(paramodulation,[status(thm)],[f29,f1481]) ).
fof(f1907,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] : X0 = multiply(X1,multiply(multiply(inverse(X1),inverse(multiply(multiply(inverse(multiply(multiply(X2,multiply(multiply(inverse(X2),inverse(multiply(X3,multiply(X4,X5)))),inverse(X6))),multiply(X6,multiply(X3,X4)))),inverse(multiply(X7,X0))),X7))),X5)),
inference(paramodulation,[status(thm)],[f1481,f29]) ).
fof(f1920,plain,
! [X0,X1,X2,X3] : X0 = multiply(X1,multiply(multiply(inverse(X1),inverse(multiply(multiply(X2,inverse(multiply(X3,X0))),X3))),X2)),
inference(forward_demodulation,[status(thm)],[f1481,f1907]) ).
fof(f1923,plain,
! [X0,X1,X2,X3] : X0 = inverse(multiply(multiply(X1,inverse(multiply(X2,multiply(X3,multiply(multiply(inverse(X3),X0),X1))))),X2)),
inference(paramodulation,[status(thm)],[f310,f1763]) ).
fof(f2206,plain,
! [X0,X1,X2,X3] : inverse(multiply(multiply(X0,inverse(multiply(X1,X2))),X1)) = inverse(multiply(multiply(X0,inverse(multiply(X3,X2))),X3)),
inference(paramodulation,[status(thm)],[f1920,f1923]) ).
fof(f2254,plain,
! [X0,X1,X2,X3] : multiply(X0,multiply(multiply(inverse(X0),X1),X2)) = multiply(X3,multiply(multiply(inverse(X3),X1),X2)),
inference(paramodulation,[status(thm)],[f1923,f1920]) ).
fof(f3714,plain,
! [X0,X1,X2,X3] : multiply(multiply(X0,inverse(multiply(X1,multiply(X2,multiply(multiply(inverse(X2),inverse(X3)),X0))))),X1) = X3,
inference(paramodulation,[status(thm)],[f267,f1701]) ).
fof(f3768,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] : multiply(X0,multiply(X1,inverse(multiply(multiply(X2,multiply(multiply(inverse(X2),inverse(multiply(multiply(X3,inverse(multiply(X4,X5))),X4))),inverse(X6))),multiply(X6,multiply(X0,X1)))))) = multiply(multiply(X3,inverse(multiply(X7,X5))),X7),
inference(paramodulation,[status(thm)],[f2206,f1701]) ).
fof(f3922,plain,
! [X0,X1,X2,X3] : multiply(multiply(X0,inverse(multiply(X1,X2))),X1) = multiply(multiply(X0,inverse(multiply(X3,X2))),X3),
inference(forward_demodulation,[status(thm)],[f1701,f3768]) ).
fof(f4049,plain,
! [X0,X1,X2,X3] : multiply(X0,inverse(multiply(X1,multiply(X2,multiply(multiply(inverse(X2),inverse(multiply(X3,X1))),X3))))) = X0,
inference(paramodulation,[status(thm)],[f3922,f3]) ).
fof(f4592,plain,
! [X0,X1,X2,X3,X4,X5] : multiply(X0,multiply(multiply(inverse(X0),inverse(multiply(X1,multiply(X2,multiply(multiply(inverse(X2),inverse(multiply(X3,X1))),X3))))),X4)) = multiply(X5,multiply(inverse(X5),X4)),
inference(paramodulation,[status(thm)],[f4049,f2254]) ).
fof(f4655,plain,
! [X0,X1,X2,X3,X4,X5] : multiply(multiply(X0,inverse(multiply(X1,inverse(multiply(X2,multiply(X3,multiply(multiply(inverse(X3),inverse(multiply(X4,X2))),X4))))))),X1) = multiply(multiply(X0,inverse(X5)),X5),
inference(paramodulation,[status(thm)],[f4049,f3922]) ).
fof(f4707,plain,
! [X0,X1,X2] : multiply(X0,multiply(inverse(X0),X1)) = multiply(X2,multiply(inverse(X2),X1)),
inference(forward_demodulation,[status(thm)],[f4049,f4592]) ).
fof(f4711,plain,
! [X0,X1,X2] : multiply(multiply(X0,inverse(X1)),X1) = multiply(multiply(X0,inverse(X2)),X2),
inference(forward_demodulation,[status(thm)],[f4049,f4655]) ).
fof(f4745,plain,
! [X0,X1,X2,X3,X4] : multiply(X0,inverse(X0)) = multiply(X1,multiply(inverse(X1),inverse(multiply(X2,multiply(X3,multiply(multiply(inverse(X3),inverse(multiply(X4,X2))),X4)))))),
inference(paramodulation,[status(thm)],[f4049,f4707]) ).
fof(f5011,plain,
! [X0,X1] : multiply(X0,inverse(X0)) = multiply(X1,inverse(X1)),
inference(forward_demodulation,[status(thm)],[f4049,f4745]) ).
fof(f5013,plain,
! [X0,X1,X2,X3] : multiply(X0,multiply(X1,multiply(multiply(inverse(X1),inverse(multiply(X2,X0))),X2))) = multiply(X3,inverse(X3)),
inference(paramodulation,[status(thm)],[f4049,f5011]) ).
fof(f5038,plain,
! [X0,X1,X2] : multiply(X0,multiply(inverse(X0),inverse(inverse(X1)))) = multiply(X1,multiply(X2,inverse(X2))),
inference(paramodulation,[status(thm)],[f5011,f4707]) ).
fof(f5931,plain,
! [X0,X1,X2] : multiply(multiply(X0,inverse(X0)),X1) = multiply(multiply(X1,inverse(X2)),X2),
inference(paramodulation,[status(thm)],[f5011,f4711]) ).
fof(f19781,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] : multiply(inverse(multiply(X0,multiply(X1,multiply(multiply(inverse(X1),inverse(multiply(multiply(multiply(inverse(X2),inverse(multiply(X3,multiply(X4,multiply(multiply(inverse(X4),inverse(multiply(X5,X6))),inverse(X2)))))),X3),X0))),X5)))),inverse(multiply(X7,inverse(X7)))) = X6,
inference(paramodulation,[status(thm)],[f5013,f25]) ).
fof(f20036,plain,
! [X0,X1,X2,X3,X4,X5] : X0 = inverse(multiply(inverse(multiply(X1,X0)),multiply(X2,multiply(multiply(inverse(X2),inverse(multiply(X3,multiply(X4,multiply(multiply(inverse(X4),inverse(multiply(X5,X3))),X5))))),X1)))),
inference(paramodulation,[status(thm)],[f5013,f1763]) ).
fof(f20130,plain,
! [X0,X1,X2,X3,X4,X5] : multiply(multiply(X0,inverse(multiply(X1,inverse(X2)))),X1) = multiply(multiply(X0,inverse(multiply(X3,multiply(X4,multiply(multiply(inverse(X4),inverse(multiply(X5,X3))),X5))))),X2),
inference(paramodulation,[status(thm)],[f5013,f3922]) ).
fof(f20144,plain,
! [X0,X1,X2,X3,X4,X5] : inverse(X0) = multiply(X1,multiply(multiply(inverse(X1),inverse(multiply(multiply(X2,inverse(multiply(X3,multiply(X4,multiply(multiply(inverse(X4),inverse(multiply(X5,X3))),X5))))),X0))),X2)),
inference(paramodulation,[status(thm)],[f5013,f1920]) ).
fof(f20183,plain,
! [X0,X1,X2,X3,X4] : multiply(inverse(multiply(X0,multiply(X1,multiply(multiply(inverse(X1),inverse(multiply(multiply(X2,X3),X0))),X2)))),inverse(multiply(X4,inverse(X4)))) = X3,
inference(forward_demodulation,[status(thm)],[f3714,f19781]) ).
fof(f20184,plain,
! [X0,X1] : multiply(X0,inverse(multiply(X1,inverse(X1)))) = X0,
inference(forward_demodulation,[status(thm)],[f1763,f20183]) ).
fof(f20192,plain,
! [X0,X1,X2] : X0 = inverse(multiply(inverse(multiply(X1,X0)),multiply(X2,multiply(inverse(X2),X1)))),
inference(forward_demodulation,[status(thm)],[f4049,f20036]) ).
fof(f20228,plain,
! [X0,X1,X2] : multiply(multiply(X0,inverse(multiply(X1,inverse(X2)))),X1) = multiply(X0,X2),
inference(forward_demodulation,[status(thm)],[f4049,f20130]) ).
fof(f20237,plain,
! [X0,X1,X2] : inverse(X0) = multiply(X1,multiply(multiply(inverse(X1),inverse(multiply(X2,X0))),X2)),
inference(forward_demodulation,[status(thm)],[f4049,f20144]) ).
fof(f20468,plain,
! [X0,X1,X2] : multiply(multiply(X0,inverse(X0)),X1) = multiply(X1,multiply(X2,inverse(X2))),
inference(paramodulation,[status(thm)],[f20184,f5931]) ).
fof(f27570,plain,
! [X0,X1] : inverse(inverse(X0)) = multiply(X1,multiply(inverse(X1),X0)),
inference(paramodulation,[status(thm)],[f20228,f20237]) ).
fof(f28001,plain,
! [X0,X1] : inverse(inverse(inverse(inverse(X0)))) = multiply(X0,multiply(X1,inverse(X1))),
inference(backward_demodulation,[status(thm)],[f27570,f5038]) ).
fof(f28003,plain,
! [X0,X1] : X0 = inverse(multiply(inverse(multiply(X1,X0)),inverse(inverse(X1)))),
inference(backward_demodulation,[status(thm)],[f27570,f20192]) ).
fof(f28014,plain,
! [X0,X1] : inverse(inverse(inverse(inverse(X0)))) = multiply(multiply(X1,inverse(X1)),X0),
inference(paramodulation,[status(thm)],[f20468,f27570]) ).
fof(f28062,plain,
! [X0,X1] : inverse(inverse(inverse(multiply(X0,inverse(X0))))) = multiply(X1,inverse(X1)),
inference(paramodulation,[status(thm)],[f20184,f27570]) ).
fof(f29376,plain,
! [X0,X1,X2] : multiply(multiply(X0,X1),inverse(multiply(X2,X1))) = multiply(X0,inverse(X2)),
inference(paramodulation,[status(thm)],[f28003,f20228]) ).
fof(f34696,plain,
! [X0,X1,X2,X3] : multiply(multiply(inverse(multiply(X0,inverse(X1))),inverse(multiply(X2,multiply(X3,multiply(inverse(X3),inverse(X0)))))),X2) = X1,
inference(paramodulation,[status(thm)],[f29376,f3714]) ).
fof(f34891,plain,
! [X0,X1,X2] : multiply(multiply(inverse(multiply(X0,inverse(X1))),inverse(multiply(X2,inverse(inverse(inverse(X0)))))),X2) = X1,
inference(forward_demodulation,[status(thm)],[f27570,f34696]) ).
fof(f34892,plain,
! [X0,X1] : multiply(inverse(multiply(X0,inverse(X1))),inverse(inverse(X0))) = X1,
inference(forward_demodulation,[status(thm)],[f20228,f34891]) ).
fof(f34915,plain,
! [X0,X1] : multiply(X0,inverse(inverse(inverse(multiply(X1,X0))))) = inverse(X1),
inference(paramodulation,[status(thm)],[f28003,f34892]) ).
fof(f35173,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X1,inverse(X1))) = inverse(X0),
inference(paramodulation,[status(thm)],[f28062,f34915]) ).
fof(f35453,plain,
! [X0] : inverse(inverse(inverse(inverse(inverse(X0))))) = inverse(X0),
inference(forward_demodulation,[status(thm)],[f28001,f35173]) ).
fof(f35468,plain,
! [X0,X1] : inverse(inverse(inverse(inverse(X0)))) = inverse(multiply(inverse(multiply(X1,X0)),inverse(inverse(X1)))),
inference(paramodulation,[status(thm)],[f28003,f35453]) ).
fof(f35639,plain,
! [X0] : inverse(inverse(inverse(inverse(X0)))) = X0,
inference(forward_demodulation,[status(thm)],[f28003,f35468]) ).
fof(f35657,plain,
! [X0,X1] : X0 = multiply(multiply(X1,inverse(X1)),X0),
inference(backward_demodulation,[status(thm)],[f35639,f28014]) ).
fof(f35659,plain,
! [X0,X1] : X0 = multiply(X0,multiply(X1,inverse(X1))),
inference(backward_demodulation,[status(thm)],[f35639,f28001]) ).
fof(f38234,plain,
! [X0,X1,X2] : multiply(X0,inverse(multiply(X1,X0))) = multiply(multiply(X2,inverse(X2)),inverse(X1)),
inference(paramodulation,[status(thm)],[f35657,f29376]) ).
fof(f38444,plain,
! [X0,X1] : multiply(X0,inverse(multiply(X1,X0))) = inverse(X1),
inference(forward_demodulation,[status(thm)],[f35657,f38234]) ).
fof(f39780,plain,
! [X0,X1,X2,X3] : X0 = inverse(multiply(X1,multiply(X2,multiply(inverse(X2),inverse(multiply(multiply(multiply(X3,inverse(X3)),X0),X1)))))),
inference(paramodulation,[status(thm)],[f35659,f1763]) ).
fof(f40078,plain,
! [X0,X1,X2] : X0 = inverse(multiply(X1,inverse(inverse(inverse(multiply(multiply(multiply(X2,inverse(X2)),X0),X1)))))),
inference(forward_demodulation,[status(thm)],[f27570,f39780]) ).
fof(f40079,plain,
! [X0,X1] : X0 = inverse(inverse(multiply(multiply(X1,inverse(X1)),X0))),
inference(forward_demodulation,[status(thm)],[f34915,f40078]) ).
fof(f40080,plain,
! [X0] : X0 = inverse(inverse(X0)),
inference(forward_demodulation,[status(thm)],[f35657,f40079]) ).
fof(f40320,plain,
! [X0,X1] : X0 = multiply(X0,multiply(inverse(X1),X1)),
inference(paramodulation,[status(thm)],[f40080,f35659]) ).
fof(f40322,plain,
! [X0,X1] : X0 = multiply(multiply(inverse(X1),X1),X0),
inference(paramodulation,[status(thm)],[f40080,f35657]) ).
fof(f42609,plain,
! [X0,X1] : multiply(inverse(X0),X0) = multiply(inverse(X1),X1),
inference(paramodulation,[status(thm)],[f40320,f40322]) ).
fof(f45716,plain,
! [X0,X1,X2] : multiply(multiply(X0,inverse(inverse(X1))),X2) = multiply(X0,multiply(X1,X2)),
inference(paramodulation,[status(thm)],[f38444,f20228]) ).
fof(f45946,plain,
! [X0,X1,X2] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
inference(forward_demodulation,[status(thm)],[f40080,f45716]) ).
fof(f91162,plain,
( sQ2_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f13,f45946]) ).
fof(f91457,plain,
sQ2_spl,
inference(contradiction_clause,[status(thm)],[f91162]) ).
fof(f91508,plain,
( sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f7,f42609]) ).
fof(f91509,plain,
sQ0_spl,
inference(contradiction_clause,[status(thm)],[f91508]) ).
fof(f91510,plain,
( sQ1_spl
| a2 != a2 ),
inference(forward_demodulation,[status(thm)],[f40322,f10]) ).
fof(f91511,plain,
( sQ1_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f91510]) ).
fof(f91512,plain,
sQ1_spl,
inference(contradiction_clause,[status(thm)],[f91511]) ).
fof(f91513,plain,
$false,
inference(sat_refutation,[status(thm)],[f14,f91457,f91509,f91512]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : GRP060-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.07 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.46 % Computer : n014.cluster.edu
% 0.19/0.46 % Model : x86_64 x86_64
% 0.19/0.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.46 % Memory : 8046.5625MB
% 0.19/0.46 % OS : Linux 6.8.0-71-generic
% 0.19/0.46 % CPULimit : 300
% 0.19/0.46 % WCLimit : 300
% 0.19/0.46 % DateTime : Sun Sep 20 19:56:05 UTC 2026
% 0.19/0.47 % CPUTime :
% 0.19/0.48 % Drodi V4.1.1
% 224.68/29.00 % Refutation found
% 224.68/29.00 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 224.68/29.00 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 110.55/29.17 % Elapsed time: 28.687662 seconds
% 110.55/29.17 % CPU time: 226.400520 seconds
% 110.55/29.17 % Total memory used: 953.709 MB
% 110.55/29.17 % Net memory used: 940.414 MB
%------------------------------------------------------------------------------