%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : PUZ018-1 : TPTP v9.3.1. Bugfixed v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n001.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 01:59:52 PM UTC 2026
% Result : Unsatisfiable 0.12s 0.40s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 63
% Syntax : Number of formulae : 201 ( 69 unt; 34 def)
% Number of atoms : 430 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 433 ( 204 ~; 195 |; 0 &)
% ( 34 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 40 ( 39 usr; 35 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 10 con; 0-0 aty)
% Number of variables : 71 ( 71 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X] :
( on(a,X)
| ~ all_on(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X] :
( on(b,X)
| ~ all_on(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X] :
( on(c,X)
| ~ all_on(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
consecutive(sunday,monday),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,axiom,
consecutive(monday,tuesday),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,axiom,
consecutive(tuesday,wednesday),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,axiom,
consecutive(wednesday,thursday),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,axiom,
consecutive(thursday,friday),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,axiom,
~ same_person(a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,axiom,
~ same_person(a,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f16,axiom,
~ same_person(b,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f19,axiom,
~ same_day(sunday,tuesday),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f20,axiom,
~ same_day(sunday,wednesday),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f21,axiom,
~ same_day(sunday,thursday),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f22,axiom,
~ same_day(sunday,friday),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f29,axiom,
~ same_day(tuesday,wednesday),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f30,axiom,
~ same_day(tuesday,thursday),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f31,axiom,
~ same_day(tuesday,friday),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f33,axiom,
~ same_day(wednesday,thursday),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f39,hypothesis,
( all_on(saturday)
| all_on(friday)
| all_on(thursday)
| all_on(wednesday)
| all_on(tuesday)
| all_on(monday)
| all_on(sunday) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f40,hypothesis,
! [X,Y,Z,W,U] :
( ~ on(U,Z)
| ~ on(U,Y)
| ~ on(U,X)
| ~ consecutive(Z,W)
| ~ consecutive(Y,Z)
| ~ consecutive(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f41,hypothesis,
! [X,Y,Z,W] :
( same_day(Y,Z)
| same_person(X,W)
| on(W,Z)
| on(W,Y)
| on(X,Z)
| on(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f42,hypothesis,
~ on(a,sunday),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f43,hypothesis,
~ on(a,tuesday),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f44,hypothesis,
~ on(a,thursday),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f45,hypothesis,
~ on(b,thursday),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f46,hypothesis,
~ on(b,saturday),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f47,hypothesis,
~ on(c,sunday),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f48,negated_conjecture,
~ all_on(friday),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f49,plain,
! [X0] :
( on(a,X0)
| ~ all_on(X0) ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f50,plain,
! [X0] :
( on(b,X0)
| ~ all_on(X0) ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f51,plain,
! [X0] :
( on(c,X0)
| ~ all_on(X0) ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f54,plain,
consecutive(sunday,monday),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f55,plain,
consecutive(monday,tuesday),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f56,plain,
consecutive(tuesday,wednesday),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f57,plain,
consecutive(wednesday,thursday),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f58,plain,
consecutive(thursday,friday),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f62,plain,
~ same_person(a,b),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f63,plain,
~ same_person(a,c),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f64,plain,
~ same_person(b,c),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f67,plain,
~ same_day(sunday,tuesday),
inference(cnf_transformation,[status(thm)],[f19]) ).
fof(f68,plain,
~ same_day(sunday,wednesday),
inference(cnf_transformation,[status(thm)],[f20]) ).
fof(f69,plain,
~ same_day(sunday,thursday),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f70,plain,
~ same_day(sunday,friday),
inference(cnf_transformation,[status(thm)],[f22]) ).
fof(f77,plain,
~ same_day(tuesday,wednesday),
inference(cnf_transformation,[status(thm)],[f29]) ).
fof(f78,plain,
~ same_day(tuesday,thursday),
inference(cnf_transformation,[status(thm)],[f30]) ).
fof(f79,plain,
~ same_day(tuesday,friday),
inference(cnf_transformation,[status(thm)],[f31]) ).
fof(f81,plain,
~ same_day(wednesday,thursday),
inference(cnf_transformation,[status(thm)],[f33]) ).
fof(f87,plain,
( all_on(saturday)
| all_on(friday)
| all_on(thursday)
| all_on(wednesday)
| all_on(tuesday)
| all_on(monday)
| all_on(sunday) ),
inference(cnf_transformation,[status(thm)],[f39]) ).
fof(f88,plain,
! [Z,U] :
( ~ on(U,Z)
| ! [Y] :
( ~ on(U,Y)
| ! [X] :
( ~ on(U,X)
| ! [W] : ~ consecutive(Z,W)
| ~ consecutive(Y,Z)
| ~ consecutive(X,Y) ) ) ),
inference(miniscoping,[status(thm)],[f40]) ).
fof(f89,plain,
! [X0,X1,X2,X3,X4] :
( ~ on(X4,X2)
| ~ on(X4,X1)
| ~ on(X4,X0)
| ~ consecutive(X2,X3)
| ~ consecutive(X1,X2)
| ~ consecutive(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f88]) ).
fof(f90,plain,
! [Y,Z] :
( same_day(Y,Z)
| ! [X,W] :
( same_person(X,W)
| on(W,Z)
| on(W,Y)
| on(X,Z)
| on(X,Y) ) ),
inference(miniscoping,[status(thm)],[f41]) ).
fof(f91,plain,
! [X0,X1,X2,X3] :
( same_day(X1,X2)
| same_person(X0,X3)
| on(X3,X2)
| on(X3,X1)
| on(X0,X2)
| on(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f90]) ).
fof(f92,plain,
~ on(a,sunday),
inference(cnf_transformation,[status(thm)],[f42]) ).
fof(f93,plain,
~ on(a,tuesday),
inference(cnf_transformation,[status(thm)],[f43]) ).
fof(f94,plain,
~ on(a,thursday),
inference(cnf_transformation,[status(thm)],[f44]) ).
fof(f95,plain,
~ on(b,thursday),
inference(cnf_transformation,[status(thm)],[f45]) ).
fof(f96,plain,
~ on(b,saturday),
inference(cnf_transformation,[status(thm)],[f46]) ).
fof(f97,plain,
~ on(c,sunday),
inference(cnf_transformation,[status(thm)],[f47]) ).
fof(f98,plain,
~ all_on(friday),
inference(cnf_transformation,[status(thm)],[f48]) ).
fof(f99,definition,
( sQ0_spl
<=> all_on(sunday) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f100,plain,
( ~ sQ0_spl
| all_on(sunday) ),
inference(component_clause,[status(thm)],[f99]) ).
fof(f102,definition,
( sQ1_spl
<=> all_on(monday) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f103,plain,
( ~ sQ1_spl
| all_on(monday) ),
inference(component_clause,[status(thm)],[f102]) ).
fof(f105,definition,
( sQ2_spl
<=> all_on(tuesday) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f106,plain,
( ~ sQ2_spl
| all_on(tuesday) ),
inference(component_clause,[status(thm)],[f105]) ).
fof(f108,definition,
( sQ3_spl
<=> all_on(wednesday) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f109,plain,
( ~ sQ3_spl
| all_on(wednesday) ),
inference(component_clause,[status(thm)],[f108]) ).
fof(f111,definition,
( sQ4_spl
<=> all_on(thursday) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f112,plain,
( ~ sQ4_spl
| all_on(thursday) ),
inference(component_clause,[status(thm)],[f111]) ).
fof(f114,definition,
( sQ5_spl
<=> all_on(friday) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f115,plain,
( ~ sQ5_spl
| all_on(friday) ),
inference(component_clause,[status(thm)],[f114]) ).
fof(f117,definition,
( sQ6_spl
<=> all_on(saturday) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f118,plain,
( ~ sQ6_spl
| all_on(saturday) ),
inference(component_clause,[status(thm)],[f117]) ).
fof(f120,plain,
( sQ6_spl
| sQ5_spl
| sQ4_spl
| sQ3_spl
| sQ2_spl
| sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f87,f99,f102,f105,f108,f111,f114,f117]) ).
fof(f121,plain,
( ~ sQ6_spl
| on(b,saturday) ),
inference(resolution,[status(thm)],[f118,f50]) ).
fof(f126,plain,
! [X0,X1,X2,X3] :
( ~ all_on(X1)
| ~ on(c,X2)
| ~ on(c,X0)
| ~ consecutive(X2,X3)
| ~ consecutive(X1,X2)
| ~ consecutive(X0,X1) ),
inference(resolution,[status(thm)],[f89,f51]) ).
fof(f131,plain,
! [X0,X1] :
( same_day(tuesday,X0)
| same_person(a,X1)
| on(X1,X0)
| on(X1,tuesday)
| on(a,X0) ),
inference(resolution,[status(thm)],[f91,f93]) ).
fof(f133,plain,
! [X0,X1] :
( same_day(sunday,X0)
| same_person(a,X1)
| on(X1,X0)
| on(X1,sunday)
| on(a,X0) ),
inference(resolution,[status(thm)],[f91,f92]) ).
fof(f143,plain,
! [X0,X1] :
( same_day(X0,thursday)
| same_person(a,X1)
| on(X1,thursday)
| on(X1,X0)
| on(a,X0) ),
inference(resolution,[status(thm)],[f91,f94]) ).
fof(f145,plain,
! [X0,X1] :
( same_day(X0,tuesday)
| same_person(a,X1)
| on(X1,tuesday)
| on(X1,X0)
| on(a,X0) ),
inference(resolution,[status(thm)],[f91,f93]) ).
fof(f226,definition,
( sQ13_spl
<=> on(a,thursday) ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f227,plain,
( ~ sQ13_spl
| on(a,thursday) ),
inference(component_clause,[status(thm)],[f226]) ).
fof(f230,definition,
( sQ14_spl
<=> on(a,tuesday) ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f231,plain,
( ~ sQ14_spl
| on(a,tuesday) ),
inference(component_clause,[status(thm)],[f230]) ).
fof(f234,definition,
( sQ15_spl
<=> on(a,sunday) ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f235,plain,
( ~ sQ15_spl
| on(a,sunday) ),
inference(component_clause,[status(thm)],[f234]) ).
fof(f238,definition,
( sQ16_spl
<=> on(b,thursday) ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f239,plain,
( ~ sQ16_spl
| on(b,thursday) ),
inference(component_clause,[status(thm)],[f238]) ).
fof(f269,plain,
( ~ sQ16_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f239,f95]) ).
fof(f270,plain,
~ sQ16_spl,
inference(contradiction_clause,[status(thm)],[f269]) ).
fof(f271,plain,
( ~ sQ15_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f235,f92]) ).
fof(f272,plain,
~ sQ15_spl,
inference(contradiction_clause,[status(thm)],[f271]) ).
fof(f273,plain,
( ~ sQ14_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f231,f93]) ).
fof(f274,plain,
~ sQ14_spl,
inference(contradiction_clause,[status(thm)],[f273]) ).
fof(f275,plain,
( ~ sQ13_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f227,f94]) ).
fof(f276,plain,
~ sQ13_spl,
inference(contradiction_clause,[status(thm)],[f275]) ).
fof(f298,definition,
( sQ24_spl
<=> on(b,saturday) ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f299,plain,
( ~ sQ24_spl
| on(b,saturday) ),
inference(component_clause,[status(thm)],[f298]) ).
fof(f316,plain,
( ~ sQ24_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f299,f96]) ).
fof(f317,plain,
~ sQ24_spl,
inference(contradiction_clause,[status(thm)],[f316]) ).
fof(f343,plain,
( ~ sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f115,f98]) ).
fof(f344,plain,
~ sQ5_spl,
inference(contradiction_clause,[status(thm)],[f343]) ).
fof(f345,plain,
( ~ sQ6_spl
| sQ24_spl ),
inference(split_clause,[status(thm)],[f121,f298,f117]) ).
fof(f408,definition,
( sQ43_spl
<=> on(c,thursday) ),
introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition]) ).
fof(f417,definition,
( sQ44_spl
<=> on(b,tuesday) ),
introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition]) ).
fof(f420,definition,
( sQ45_spl
<=> on(c,tuesday) ),
introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition]) ).
fof(f426,plain,
( ~ sQ4_spl
| on(b,thursday) ),
inference(resolution,[status(thm)],[f112,f50]) ).
fof(f429,plain,
( ~ sQ4_spl
| sQ16_spl ),
inference(split_clause,[status(thm)],[f426,f238,f111]) ).
fof(f434,plain,
~ all_on(sunday),
inference(resolution,[status(thm)],[f97,f51]) ).
fof(f477,definition,
! [X1] :
( sQ52_spl
<=> ~ consecutive(thursday,X1) ),
introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition]) ).
fof(f478,plain,
! [X0] :
( ~ sQ52_spl
| ~ consecutive(thursday,X0) ),
inference(component_clause,[status(thm)],[f477]) ).
fof(f490,plain,
! [X0,X1,X2] :
( ~ sQ3_spl
| ~ on(c,X1)
| ~ on(c,X0)
| ~ consecutive(X1,X2)
| ~ consecutive(wednesday,X1)
| ~ consecutive(X0,wednesday) ),
inference(resolution,[status(thm)],[f126,f109]) ).
fof(f491,definition,
! [X0] :
( sQ55_spl
<=> ( ~ on(c,X0)
| ~ consecutive(X0,wednesday) ) ),
introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition]) ).
fof(f492,plain,
! [X0] :
( ~ sQ55_spl
| ~ on(c,X0)
| ~ consecutive(X0,wednesday) ),
inference(component_clause,[status(thm)],[f491]) ).
fof(f494,definition,
! [X1,X2] :
( sQ56_spl
<=> ( ~ on(c,X1)
| ~ consecutive(X1,X2)
| ~ consecutive(wednesday,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition]) ).
fof(f495,plain,
! [X0,X1] :
( ~ sQ56_spl
| ~ on(c,X0)
| ~ consecutive(X0,X1)
| ~ consecutive(wednesday,X0) ),
inference(component_clause,[status(thm)],[f494]) ).
fof(f497,plain,
( ~ sQ3_spl
| sQ56_spl
| sQ55_spl ),
inference(split_clause,[status(thm)],[f490,f491,f494,f108]) ).
fof(f500,plain,
( ~ sQ2_spl
| on(a,tuesday) ),
inference(resolution,[status(thm)],[f106,f49]) ).
fof(f509,plain,
( ~ sQ2_spl
| sQ14_spl ),
inference(split_clause,[status(thm)],[f500,f230,f105]) ).
fof(f510,plain,
( ~ sQ52_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f58,f478]) ).
fof(f511,plain,
~ sQ52_spl,
inference(contradiction_clause,[status(thm)],[f510]) ).
fof(f547,definition,
! [X1] :
( sQ61_spl
<=> ~ consecutive(tuesday,X1) ),
introduced(definition,[new_symbols(definition,[sQ61_spl])],[split_symbol_definition]) ).
fof(f548,plain,
! [X0] :
( ~ sQ61_spl
| ~ consecutive(tuesday,X0) ),
inference(component_clause,[status(thm)],[f547]) ).
fof(f560,plain,
( ~ sQ61_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f56,f548]) ).
fof(f561,plain,
~ sQ61_spl,
inference(contradiction_clause,[status(thm)],[f560]) ).
fof(f578,definition,
( sQ64_spl
<=> on(b,sunday) ),
introduced(definition,[new_symbols(definition,[sQ64_spl])],[split_symbol_definition]) ).
fof(f614,plain,
( ~ sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f100,f434]) ).
fof(f615,plain,
~ sQ0_spl,
inference(contradiction_clause,[status(thm)],[f614]) ).
fof(f617,plain,
( ~ sQ1_spl
| on(b,monday) ),
inference(resolution,[status(thm)],[f103,f50]) ).
fof(f633,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ on(b,X1)
| ~ on(b,X0)
| ~ consecutive(X1,X2)
| ~ consecutive(monday,X1)
| ~ consecutive(X0,monday) ),
inference(resolution,[status(thm)],[f617,f89]) ).
fof(f641,definition,
! [X0] :
( sQ75_spl
<=> ( ~ on(b,X0)
| ~ consecutive(X0,monday) ) ),
introduced(definition,[new_symbols(definition,[sQ75_spl])],[split_symbol_definition]) ).
fof(f642,plain,
! [X0] :
( ~ sQ75_spl
| ~ on(b,X0)
| ~ consecutive(X0,monday) ),
inference(component_clause,[status(thm)],[f641]) ).
fof(f656,definition,
! [X1,X2] :
( sQ79_spl
<=> ( ~ on(b,X1)
| ~ consecutive(X1,X2)
| ~ consecutive(monday,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ79_spl])],[split_symbol_definition]) ).
fof(f657,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ on(b,X0)
| ~ consecutive(X0,X1)
| ~ consecutive(monday,X0) ),
inference(component_clause,[status(thm)],[f656]) ).
fof(f659,plain,
( ~ sQ1_spl
| sQ79_spl
| sQ75_spl ),
inference(split_clause,[status(thm)],[f633,f641,f656,f102]) ).
fof(f750,plain,
( ~ sQ75_spl
| ~ on(b,sunday) ),
inference(resolution,[status(thm)],[f642,f54]) ).
fof(f764,plain,
( ~ sQ55_spl
| ~ on(c,tuesday) ),
inference(resolution,[status(thm)],[f492,f56]) ).
fof(f795,definition,
( sQ85_spl
<=> same_person(a,c) ),
introduced(definition,[new_symbols(definition,[sQ85_spl])],[split_symbol_definition]) ).
fof(f796,plain,
( ~ sQ85_spl
| same_person(a,c) ),
inference(component_clause,[status(thm)],[f795]) ).
fof(f812,definition,
( sQ89_spl
<=> same_person(a,b) ),
introduced(definition,[new_symbols(definition,[sQ89_spl])],[split_symbol_definition]) ).
fof(f813,plain,
( ~ sQ89_spl
| same_person(a,b) ),
inference(component_clause,[status(thm)],[f812]) ).
fof(f841,plain,
( ~ sQ89_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f813,f62]) ).
fof(f842,plain,
~ sQ89_spl,
inference(contradiction_clause,[status(thm)],[f841]) ).
fof(f843,plain,
( ~ sQ85_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f796,f63]) ).
fof(f844,plain,
~ sQ85_spl,
inference(contradiction_clause,[status(thm)],[f843]) ).
fof(f855,plain,
( same_day(tuesday,thursday)
| same_person(a,b)
| on(b,tuesday)
| on(a,thursday) ),
inference(resolution,[status(thm)],[f131,f95]) ).
fof(f871,definition,
( sQ97_spl
<=> same_day(tuesday,thursday) ),
introduced(definition,[new_symbols(definition,[sQ97_spl])],[split_symbol_definition]) ).
fof(f872,plain,
( ~ sQ97_spl
| same_day(tuesday,thursday) ),
inference(component_clause,[status(thm)],[f871]) ).
fof(f881,plain,
( sQ97_spl
| sQ89_spl
| sQ44_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f855,f226,f417,f812,f871]) ).
fof(f913,plain,
( ~ sQ97_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f872,f78]) ).
fof(f914,plain,
~ sQ97_spl,
inference(contradiction_clause,[status(thm)],[f913]) ).
fof(f922,plain,
( same_day(sunday,thursday)
| same_person(a,b)
| on(b,sunday)
| on(a,thursday) ),
inference(resolution,[status(thm)],[f133,f95]) ).
fof(f937,definition,
( sQ107_spl
<=> same_day(sunday,thursday) ),
introduced(definition,[new_symbols(definition,[sQ107_spl])],[split_symbol_definition]) ).
fof(f938,plain,
( ~ sQ107_spl
| same_day(sunday,thursday) ),
inference(component_clause,[status(thm)],[f937]) ).
fof(f941,definition,
( sQ108_spl
<=> same_day(sunday,tuesday) ),
introduced(definition,[new_symbols(definition,[sQ108_spl])],[split_symbol_definition]) ).
fof(f942,plain,
( ~ sQ108_spl
| same_day(sunday,tuesday) ),
inference(component_clause,[status(thm)],[f941]) ).
fof(f950,plain,
( sQ107_spl
| sQ89_spl
| sQ64_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f922,f226,f578,f812,f937]) ).
fof(f987,plain,
( ~ sQ107_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f938,f69]) ).
fof(f988,plain,
~ sQ107_spl,
inference(contradiction_clause,[status(thm)],[f987]) ).
fof(f991,plain,
( ~ sQ108_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f942,f67]) ).
fof(f992,plain,
~ sQ108_spl,
inference(contradiction_clause,[status(thm)],[f991]) ).
fof(f1063,definition,
( sQ123_spl
<=> same_day(sunday,friday) ),
introduced(definition,[new_symbols(definition,[sQ123_spl])],[split_symbol_definition]) ).
fof(f1064,plain,
( ~ sQ123_spl
| same_day(sunday,friday) ),
inference(component_clause,[status(thm)],[f1063]) ).
fof(f1067,definition,
( sQ124_spl
<=> same_day(tuesday,friday) ),
introduced(definition,[new_symbols(definition,[sQ124_spl])],[split_symbol_definition]) ).
fof(f1068,plain,
( ~ sQ124_spl
| same_day(tuesday,friday) ),
inference(component_clause,[status(thm)],[f1067]) ).
fof(f1076,plain,
( ~ sQ124_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1068,f79]) ).
fof(f1077,plain,
~ sQ124_spl,
inference(contradiction_clause,[status(thm)],[f1076]) ).
fof(f1078,plain,
( ~ sQ123_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1064,f70]) ).
fof(f1079,plain,
~ sQ123_spl,
inference(contradiction_clause,[status(thm)],[f1078]) ).
fof(f1118,definition,
! [X1] :
( sQ127_spl
<=> ~ consecutive(wednesday,X1) ),
introduced(definition,[new_symbols(definition,[sQ127_spl])],[split_symbol_definition]) ).
fof(f1119,plain,
! [X0] :
( ~ sQ127_spl
| ~ consecutive(wednesday,X0) ),
inference(component_clause,[status(thm)],[f1118]) ).
fof(f1131,plain,
( ~ sQ127_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f57,f1119]) ).
fof(f1132,plain,
~ sQ127_spl,
inference(contradiction_clause,[status(thm)],[f1131]) ).
fof(f1153,definition,
( sQ130_spl
<=> same_day(sunday,wednesday) ),
introduced(definition,[new_symbols(definition,[sQ130_spl])],[split_symbol_definition]) ).
fof(f1154,plain,
( ~ sQ130_spl
| same_day(sunday,wednesday) ),
inference(component_clause,[status(thm)],[f1153]) ).
fof(f1157,definition,
( sQ131_spl
<=> same_day(tuesday,wednesday) ),
introduced(definition,[new_symbols(definition,[sQ131_spl])],[split_symbol_definition]) ).
fof(f1158,plain,
( ~ sQ131_spl
| same_day(tuesday,wednesday) ),
inference(component_clause,[status(thm)],[f1157]) ).
fof(f1169,plain,
( ~ sQ131_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1158,f77]) ).
fof(f1170,plain,
~ sQ131_spl,
inference(contradiction_clause,[status(thm)],[f1169]) ).
fof(f1171,plain,
( ~ sQ130_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1154,f68]) ).
fof(f1172,plain,
~ sQ130_spl,
inference(contradiction_clause,[status(thm)],[f1171]) ).
fof(f1191,definition,
( sQ134_spl
<=> same_person(b,c) ),
introduced(definition,[new_symbols(definition,[sQ134_spl])],[split_symbol_definition]) ).
fof(f1192,plain,
( ~ sQ134_spl
| same_person(b,c) ),
inference(component_clause,[status(thm)],[f1191]) ).
fof(f1220,plain,
( ~ sQ134_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1192,f64]) ).
fof(f1221,plain,
~ sQ134_spl,
inference(contradiction_clause,[status(thm)],[f1220]) ).
fof(f1477,plain,
( same_day(sunday,thursday)
| same_person(a,c)
| on(c,thursday)
| on(a,sunday) ),
inference(resolution,[status(thm)],[f143,f97]) ).
fof(f1496,definition,
( sQ159_spl
<=> same_day(wednesday,thursday) ),
introduced(definition,[new_symbols(definition,[sQ159_spl])],[split_symbol_definition]) ).
fof(f1497,plain,
( ~ sQ159_spl
| same_day(wednesday,thursday) ),
inference(component_clause,[status(thm)],[f1496]) ).
fof(f1500,plain,
( sQ107_spl
| sQ85_spl
| sQ43_spl
| sQ15_spl ),
inference(split_clause,[status(thm)],[f1477,f234,f408,f795,f937]) ).
fof(f1536,plain,
( ~ sQ159_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1497,f81]) ).
fof(f1537,plain,
~ sQ159_spl,
inference(contradiction_clause,[status(thm)],[f1536]) ).
fof(f1539,plain,
( same_day(sunday,tuesday)
| same_person(a,c)
| on(c,tuesday)
| on(a,sunday) ),
inference(resolution,[status(thm)],[f145,f97]) ).
fof(f1560,plain,
( sQ108_spl
| sQ85_spl
| sQ45_spl
| sQ15_spl ),
inference(split_clause,[status(thm)],[f1539,f234,f420,f795,f941]) ).
fof(f1666,plain,
! [X0] :
( ~ sQ56_spl
| ~ on(c,thursday)
| ~ consecutive(thursday,X0) ),
inference(resolution,[status(thm)],[f495,f57]) ).
fof(f1667,plain,
( ~ sQ56_spl
| ~ sQ43_spl
| sQ52_spl ),
inference(split_clause,[status(thm)],[f1666,f477,f408,f494]) ).
fof(f1670,plain,
! [X0] :
( ~ sQ79_spl
| ~ on(b,tuesday)
| ~ consecutive(tuesday,X0) ),
inference(resolution,[status(thm)],[f657,f55]) ).
fof(f1671,plain,
( ~ sQ79_spl
| ~ sQ44_spl
| sQ61_spl ),
inference(split_clause,[status(thm)],[f1670,f547,f417,f656]) ).
fof(f1672,plain,
( ~ sQ75_spl
| ~ sQ64_spl ),
inference(split_clause,[status(thm)],[f750,f578,f641]) ).
fof(f1683,plain,
( ~ sQ55_spl
| ~ sQ45_spl ),
inference(split_clause,[status(thm)],[f764,f420,f491]) ).
fof(f1684,plain,
$false,
inference(sat_refutation,[status(thm)],[f120,f270,f272,f274,f276,f317,f344,f345,f429,f497,f509,f511,f561,f615,f659,f842,f844,f881,f914,f950,f988,f992,f1077,f1079,f1132,f1170,f1172,f1221,f1500,f1537,f1560,f1667,f1671,f1672,f1683]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ018-1 : TPTP v9.3.1. Bugfixed v1.2.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n001.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Mon Sep 21 03:50:43 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.36 % Drodi V4.1.1
% 0.12/0.40 % Refutation found
% 0.12/0.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.40 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.12/0.43 % Elapsed time: 0.069735 seconds
% 0.12/0.43 % CPU time: 0.296417 seconds
% 0.12/0.43 % Total memory used: 20.002 MB
% 0.12/0.43 % Net memory used: 19.785 MB
%------------------------------------------------------------------------------