%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : NUM007-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n013.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 01:38:31 PM UTC 2026
% Result : Unsatisfiable 31.10s 4.47s
% Output : CNFRefutation 31.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 32
% Syntax : Number of formulae : 118 ( 19 unt; 15 def)
% Number of atoms : 269 ( 2 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 289 ( 138 ~; 136 |; 0 &)
% ( 15 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 20 ( 18 usr; 16 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-3 aty)
% Number of variables : 134 ( 134 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X] : divides(X,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X,Z,Y] :
( ~ divides(Y,Z)
| ~ divides(X,Y)
| divides(X,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X,Y] : divides(X,multiply(X,Y)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X,Y,Z] :
( ~ divides(Y,Z)
| divides(multiply(X,Y),multiply(X,Z)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [X,Y,Z] :
( ~ divides(multiply(X,Z),Y)
| ~ divides(Z,Y)
| divides(X,quotient(Y,Z)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [X,Y,Z] :
( ~ divides(X,multiply(Y,Z))
| ~ divides(Y,X)
| divides(quotient(X,Y),Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [U,Y,X] :
( ~ gcd(X,Y,U)
| divides(U,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,axiom,
! [U,X,Y] :
( ~ gcd(X,Y,U)
| divides(U,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,axiom,
! [V,U,X,Y] :
( ~ gcd(X,Y,U)
| ~ divides(V,Y)
| ~ divides(V,X)
| divides(V,U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,axiom,
! [Z,X,Y,U] :
( ~ gcd(X,Y,U)
| gcd(multiply(Z,X),multiply(Z,Y),multiply(Z,U)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f16,axiom,
! [X,Y,U] :
( divides(X,k(Y,X,U))
| ~ divides(Y,U)
| ~ divides(X,U)
| lcm(X,Y,U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f17,axiom,
! [X,Y,U] :
( divides(Y,k(Y,X,U))
| ~ divides(Y,U)
| ~ divides(X,U)
| lcm(X,Y,U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f18,axiom,
! [X,Y,U] :
( ~ divides(U,k(Y,X,U))
| ~ divides(Y,U)
| ~ divides(X,U)
| lcm(X,Y,U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f21,axiom,
! [X,Y] : multiply(X,Y) = multiply(Y,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f23,axiom,
! [X,Y,Z] :
( gcd(Y,X,Z)
| ~ gcd(X,Y,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f24,negated_conjecture,
gcd(a,b,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f25,negated_conjecture,
~ lcm(a,b,quotient(multiply(a,b),c)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f26,plain,
! [X0] : divides(X0,X0),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f27,plain,
! [Z,Y] :
( ~ divides(Y,Z)
| ! [X] :
( ~ divides(X,Y)
| divides(X,Z) ) ),
inference(miniscoping,[status(thm)],[f2]) ).
fof(f28,plain,
! [X0,X1,X2] :
( ~ divides(X2,X1)
| ~ divides(X0,X2)
| divides(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f27]) ).
fof(f29,plain,
! [X0,X1] : divides(X0,multiply(X0,X1)),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f30,plain,
! [Y,Z] :
( ~ divides(Y,Z)
| ! [X] : divides(multiply(X,Y),multiply(X,Z)) ),
inference(miniscoping,[status(thm)],[f4]) ).
fof(f31,plain,
! [X0,X1,X2] :
( ~ divides(X1,X2)
| divides(multiply(X0,X1),multiply(X0,X2)) ),
inference(cnf_transformation,[status(thm)],[f30]) ).
fof(f34,plain,
! [X0,X1,X2] :
( ~ divides(multiply(X0,X2),X1)
| ~ divides(X2,X1)
| divides(X0,quotient(X1,X2)) ),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f35,plain,
! [X0,X1,X2] :
( ~ divides(X0,multiply(X1,X2))
| ~ divides(X1,X0)
| divides(quotient(X0,X1),X2) ),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f36,plain,
! [U,Y] :
( ! [X] : ~ gcd(X,Y,U)
| divides(U,Y) ),
inference(miniscoping,[status(thm)],[f9]) ).
fof(f37,plain,
! [X0,X1,X2] :
( ~ gcd(X2,X1,X0)
| divides(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f36]) ).
fof(f38,plain,
! [U,X] :
( ! [Y] : ~ gcd(X,Y,U)
| divides(U,X) ),
inference(miniscoping,[status(thm)],[f10]) ).
fof(f39,plain,
! [X0,X1,X2] :
( ~ gcd(X1,X2,X0)
| divides(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f38]) ).
fof(f40,plain,
! [U,X,Y] :
( ~ gcd(X,Y,U)
| ! [V] :
( ~ divides(V,Y)
| ~ divides(V,X)
| divides(V,U) ) ),
inference(miniscoping,[status(thm)],[f11]) ).
fof(f41,plain,
! [X0,X1,X2,X3] :
( ~ gcd(X2,X3,X1)
| ~ divides(X0,X3)
| ~ divides(X0,X2)
| divides(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f40]) ).
fof(f45,plain,
! [X,Y,U] :
( ~ gcd(X,Y,U)
| ! [Z] : gcd(multiply(Z,X),multiply(Z,Y),multiply(Z,U)) ),
inference(miniscoping,[status(thm)],[f15]) ).
fof(f46,plain,
! [X0,X1,X2,X3] :
( ~ gcd(X1,X2,X3)
| gcd(multiply(X0,X1),multiply(X0,X2),multiply(X0,X3)) ),
inference(cnf_transformation,[status(thm)],[f45]) ).
fof(f47,plain,
! [X0,X1,X2] :
( divides(X0,k(X1,X0,X2))
| ~ divides(X1,X2)
| ~ divides(X0,X2)
| lcm(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f48,plain,
! [X0,X1,X2] :
( divides(X1,k(X1,X0,X2))
| ~ divides(X1,X2)
| ~ divides(X0,X2)
| lcm(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f49,plain,
! [X0,X1,X2] :
( ~ divides(X2,k(X1,X0,X2))
| ~ divides(X1,X2)
| ~ divides(X0,X2)
| lcm(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f18]) ).
fof(f52,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X1,X0),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f54,plain,
! [X0,X1,X2] :
( gcd(X1,X0,X2)
| ~ gcd(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f23]) ).
fof(f55,plain,
gcd(a,b,c),
inference(cnf_transformation,[status(thm)],[f24]) ).
fof(f56,plain,
~ lcm(a,b,quotient(multiply(a,b),c)),
inference(cnf_transformation,[status(thm)],[f25]) ).
fof(f61,plain,
! [X0,X1] : divides(X0,multiply(X1,X0)),
inference(paramodulation,[status(thm)],[f52,f29]) ).
fof(f80,plain,
! [X0,X1,X2,X3] :
( divides(multiply(X3,X2),multiply(X3,X1))
| ~ gcd(X0,X1,X2) ),
inference(resolution,[status(thm)],[f37,f31]) ).
fof(f85,plain,
! [X0] : gcd(multiply(X0,a),multiply(X0,b),multiply(X0,c)),
inference(resolution,[status(thm)],[f46,f55]) ).
fof(f89,plain,
! [X0] : gcd(multiply(a,X0),multiply(X0,b),multiply(X0,c)),
inference(paramodulation,[status(thm)],[f52,f85]) ).
fof(f139,plain,
( divides(a,k(b,a,quotient(multiply(a,b),c)))
| ~ divides(b,quotient(multiply(a,b),c))
| ~ divides(a,quotient(multiply(a,b),c)) ),
inference(resolution,[status(thm)],[f47,f56]) ).
fof(f141,definition,
( sQ0_spl
<=> divides(a,quotient(multiply(a,b),c)) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f143,plain,
( sQ0_spl
| ~ divides(a,quotient(multiply(a,b),c)) ),
inference(component_clause,[status(thm)],[f141]) ).
fof(f144,definition,
( sQ1_spl
<=> divides(b,quotient(multiply(a,b),c)) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f146,plain,
( sQ1_spl
| ~ divides(b,quotient(multiply(a,b),c)) ),
inference(component_clause,[status(thm)],[f144]) ).
fof(f147,definition,
( sQ2_spl
<=> divides(a,k(b,a,quotient(multiply(a,b),c))) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f148,plain,
( ~ sQ2_spl
| divides(a,k(b,a,quotient(multiply(a,b),c))) ),
inference(component_clause,[status(thm)],[f147]) ).
fof(f150,plain,
( sQ2_spl
| ~ sQ1_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f139,f141,f144,f147]) ).
fof(f151,plain,
( divides(b,k(b,a,quotient(multiply(a,b),c)))
| ~ divides(b,quotient(multiply(a,b),c))
| ~ divides(a,quotient(multiply(a,b),c)) ),
inference(resolution,[status(thm)],[f48,f56]) ).
fof(f153,definition,
( sQ3_spl
<=> divides(b,k(b,a,quotient(multiply(a,b),c))) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f154,plain,
( ~ sQ3_spl
| divides(b,k(b,a,quotient(multiply(a,b),c))) ),
inference(component_clause,[status(thm)],[f153]) ).
fof(f156,plain,
( sQ3_spl
| ~ sQ1_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f151,f141,f144,f153]) ).
fof(f157,plain,
( ~ divides(quotient(multiply(a,b),c),k(b,a,quotient(multiply(a,b),c)))
| ~ divides(b,quotient(multiply(a,b),c))
| ~ divides(a,quotient(multiply(a,b),c)) ),
inference(resolution,[status(thm)],[f49,f56]) ).
fof(f159,definition,
( sQ4_spl
<=> divides(quotient(multiply(a,b),c),k(b,a,quotient(multiply(a,b),c))) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f161,plain,
( sQ4_spl
| ~ divides(quotient(multiply(a,b),c),k(b,a,quotient(multiply(a,b),c))) ),
inference(component_clause,[status(thm)],[f159]) ).
fof(f162,plain,
( ~ sQ4_spl
| ~ sQ1_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f157,f141,f144,f159]) ).
fof(f167,plain,
( sQ1_spl
| ~ divides(multiply(b,c),multiply(a,b))
| ~ divides(c,multiply(a,b)) ),
inference(resolution,[status(thm)],[f146,f34]) ).
fof(f172,definition,
( sQ5_spl
<=> divides(c,multiply(a,b)) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f174,plain,
( sQ5_spl
| ~ divides(c,multiply(a,b)) ),
inference(component_clause,[status(thm)],[f172]) ).
fof(f175,definition,
( sQ6_spl
<=> divides(multiply(b,c),multiply(a,b)) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f177,plain,
( sQ6_spl
| ~ divides(multiply(b,c),multiply(a,b)) ),
inference(component_clause,[status(thm)],[f175]) ).
fof(f178,plain,
( sQ1_spl
| ~ sQ6_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f167,f172,f175,f144]) ).
fof(f183,plain,
! [X0] :
( sQ0_spl
| ~ divides(X0,quotient(multiply(a,b),c))
| ~ divides(a,X0) ),
inference(resolution,[status(thm)],[f143,f28]) ).
fof(f188,plain,
( sQ4_spl
| ~ divides(multiply(a,b),multiply(c,k(b,a,quotient(multiply(a,b),c))))
| ~ divides(c,multiply(a,b)) ),
inference(resolution,[status(thm)],[f161,f35]) ).
fof(f195,definition,
( sQ8_spl
<=> divides(multiply(a,b),multiply(c,k(b,a,quotient(multiply(a,b),c)))) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f197,plain,
( sQ8_spl
| ~ divides(multiply(a,b),multiply(c,k(b,a,quotient(multiply(a,b),c)))) ),
inference(component_clause,[status(thm)],[f195]) ).
fof(f198,plain,
( sQ4_spl
| ~ sQ8_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f188,f172,f195,f159]) ).
fof(f203,plain,
! [X0] :
( sQ5_spl
| ~ divides(X0,multiply(a,b))
| ~ divides(c,X0) ),
inference(resolution,[status(thm)],[f174,f28]) ).
fof(f306,plain,
! [X0] :
( ~ sQ3_spl
| divides(multiply(X0,b),multiply(X0,k(b,a,quotient(multiply(a,b),c)))) ),
inference(resolution,[status(thm)],[f154,f31]) ).
fof(f309,plain,
! [X0] :
( ~ sQ2_spl
| divides(multiply(X0,a),multiply(X0,k(b,a,quotient(multiply(a,b),c)))) ),
inference(resolution,[status(thm)],[f148,f31]) ).
fof(f405,plain,
! [X0] : gcd(multiply(a,X0),multiply(b,X0),multiply(X0,c)),
inference(paramodulation,[status(thm)],[f52,f89]) ).
fof(f492,plain,
! [X0] :
( sQ6_spl
| ~ gcd(multiply(a,b),X0,multiply(b,c)) ),
inference(resolution,[status(thm)],[f177,f39]) ).
fof(f574,plain,
! [X0,X1] :
( sQ8_spl
| ~ gcd(X0,X1,multiply(c,k(b,a,quotient(multiply(a,b),c))))
| ~ divides(multiply(a,b),X1)
| ~ divides(multiply(a,b),X0) ),
inference(resolution,[status(thm)],[f197,f41]) ).
fof(f799,plain,
! [X0] :
( sQ0_spl
| ~ divides(multiply(X0,c),multiply(a,b))
| ~ divides(c,multiply(a,b))
| ~ divides(a,X0) ),
inference(resolution,[status(thm)],[f183,f34]) ).
fof(f805,definition,
! [X0] :
( sQ52_spl
<=> ( ~ divides(multiply(X0,c),multiply(a,b))
| ~ divides(a,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition]) ).
fof(f806,plain,
! [X0] :
( ~ sQ52_spl
| ~ divides(multiply(X0,c),multiply(a,b))
| ~ divides(a,X0) ),
inference(component_clause,[status(thm)],[f805]) ).
fof(f808,plain,
( sQ0_spl
| ~ sQ5_spl
| sQ52_spl ),
inference(split_clause,[status(thm)],[f799,f805,f172,f141]) ).
fof(f1051,plain,
! [X0] :
( ~ sQ2_spl
| divides(multiply(a,X0),multiply(X0,k(b,a,quotient(multiply(a,b),c)))) ),
inference(paramodulation,[status(thm)],[f52,f309]) ).
fof(f1741,plain,
! [X0] : gcd(multiply(a,X0),multiply(b,X0),multiply(c,X0)),
inference(paramodulation,[status(thm)],[f52,f405]) ).
fof(f2384,plain,
! [X0] :
( ~ sQ52_spl
| ~ gcd(X0,b,c)
| ~ divides(a,a) ),
inference(resolution,[status(thm)],[f806,f80]) ).
fof(f2415,definition,
( sQ73_spl
<=> divides(a,a) ),
introduced(definition,[new_symbols(definition,[sQ73_spl])],[split_symbol_definition]) ).
fof(f2417,plain,
( sQ73_spl
| ~ divides(a,a) ),
inference(component_clause,[status(thm)],[f2415]) ).
fof(f2422,definition,
! [X0] :
( sQ75_spl
<=> ~ gcd(b,X0,c) ),
introduced(definition,[new_symbols(definition,[sQ75_spl])],[split_symbol_definition]) ).
fof(f2423,plain,
! [X0] :
( ~ sQ75_spl
| ~ gcd(b,X0,c) ),
inference(component_clause,[status(thm)],[f2422]) ).
fof(f2426,definition,
! [X0] :
( sQ76_spl
<=> ~ gcd(X0,b,c) ),
introduced(definition,[new_symbols(definition,[sQ76_spl])],[split_symbol_definition]) ).
fof(f2427,plain,
! [X0] :
( ~ sQ76_spl
| ~ gcd(X0,b,c) ),
inference(component_clause,[status(thm)],[f2426]) ).
fof(f2429,plain,
( ~ sQ52_spl
| sQ76_spl
| ~ sQ73_spl ),
inference(split_clause,[status(thm)],[f2384,f2415,f2426,f805]) ).
fof(f2434,plain,
( sQ73_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2417,f26]) ).
fof(f2435,plain,
sQ73_spl,
inference(contradiction_clause,[status(thm)],[f2434]) ).
fof(f2440,plain,
( ~ sQ76_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f55,f2427]) ).
fof(f2445,plain,
~ sQ76_spl,
inference(contradiction_clause,[status(thm)],[f2440]) ).
fof(f2483,plain,
! [X0] :
( ~ sQ75_spl
| ~ gcd(X0,b,c) ),
inference(resolution,[status(thm)],[f2423,f54]) ).
fof(f2484,definition,
( sQ78_spl
<=> divides(c,b) ),
introduced(definition,[new_symbols(definition,[sQ78_spl])],[split_symbol_definition]) ).
fof(f2485,plain,
( ~ sQ78_spl
| divides(c,b) ),
inference(component_clause,[status(thm)],[f2484]) ).
fof(f2486,plain,
( sQ78_spl
| ~ divides(c,b) ),
inference(component_clause,[status(thm)],[f2484]) ).
fof(f2499,plain,
( ~ sQ75_spl
| sQ76_spl ),
inference(split_clause,[status(thm)],[f2483,f2426,f2422]) ).
fof(f2501,plain,
! [X0] :
( sQ78_spl
| ~ gcd(b,X0,c) ),
inference(resolution,[status(thm)],[f2486,f39]) ).
fof(f2504,plain,
( sQ78_spl
| sQ75_spl ),
inference(split_clause,[status(thm)],[f2501,f2422,f2484]) ).
fof(f2506,plain,
( sQ5_spl
| ~ sQ78_spl
| ~ divides(b,multiply(a,b)) ),
inference(resolution,[status(thm)],[f2485,f203]) ).
fof(f2510,plain,
( sQ5_spl
| ~ sQ78_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2506,f61]) ).
fof(f2511,plain,
( sQ5_spl
| ~ sQ78_spl ),
inference(contradiction_clause,[status(thm)],[f2510]) ).
fof(f2619,plain,
( sQ6_spl
| $false ),
inference(resolution,[status(thm)],[f492,f405]) ).
fof(f2626,plain,
sQ6_spl,
inference(contradiction_clause,[status(thm)],[f2619]) ).
fof(f3454,definition,
( sQ117_spl
<=> divides(multiply(a,b),multiply(a,k(b,a,quotient(multiply(a,b),c)))) ),
introduced(definition,[new_symbols(definition,[sQ117_spl])],[split_symbol_definition]) ).
fof(f3456,plain,
( sQ117_spl
| ~ divides(multiply(a,b),multiply(a,k(b,a,quotient(multiply(a,b),c)))) ),
inference(component_clause,[status(thm)],[f3454]) ).
fof(f3465,definition,
( sQ120_spl
<=> divides(multiply(a,b),multiply(b,k(b,a,quotient(multiply(a,b),c)))) ),
introduced(definition,[new_symbols(definition,[sQ120_spl])],[split_symbol_definition]) ).
fof(f3467,plain,
( sQ120_spl
| ~ divides(multiply(a,b),multiply(b,k(b,a,quotient(multiply(a,b),c)))) ),
inference(component_clause,[status(thm)],[f3465]) ).
fof(f5981,plain,
( sQ8_spl
| ~ divides(multiply(a,b),multiply(b,k(b,a,quotient(multiply(a,b),c))))
| ~ divides(multiply(a,b),multiply(a,k(b,a,quotient(multiply(a,b),c)))) ),
inference(resolution,[status(thm)],[f1741,f574]) ).
fof(f5990,plain,
( sQ8_spl
| ~ sQ120_spl
| ~ sQ117_spl ),
inference(split_clause,[status(thm)],[f5981,f3454,f3465,f195]) ).
fof(f5991,plain,
( sQ117_spl
| ~ sQ3_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3456,f306]) ).
fof(f5992,plain,
( sQ117_spl
| ~ sQ3_spl ),
inference(contradiction_clause,[status(thm)],[f5991]) ).
fof(f5993,plain,
( sQ120_spl
| ~ sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3467,f1051]) ).
fof(f5994,plain,
( sQ120_spl
| ~ sQ2_spl ),
inference(contradiction_clause,[status(thm)],[f5993]) ).
fof(f5995,plain,
$false,
inference(sat_refutation,[status(thm)],[f150,f156,f162,f178,f198,f808,f2429,f2435,f2445,f2499,f2504,f2511,f2626,f5990,f5992,f5994]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : NUM007-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.44 % Computer : n013.cluster.edu
% 0.19/0.44 % Model : x86_64 x86_64
% 0.19/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.44 % Memory : 8046.5625MB
% 0.19/0.44 % OS : Linux 6.8.0-71-generic
% 0.19/0.44 % CPULimit : 300
% 0.19/0.44 % WCLimit : 300
% 0.19/0.44 % DateTime : Mon Sep 21 01:57:22 UTC 2026
% 0.19/0.44 % CPUTime :
% 0.19/0.46 % Drodi V4.1.1
% 31.10/4.47 % Refutation found
% 31.10/4.47 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 31.10/4.47 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 31.10/4.53 % Elapsed time: 4.072068 seconds
% 31.10/4.53 % CPU time: 31.663683 seconds
% 31.10/4.53 % Total memory used: 215.306 MB
% 31.10/4.53 % Net memory used: 193.837 MB
%------------------------------------------------------------------------------