TSTP Solution File: GEO180+2 by iProver---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GEO180+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n027.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri May 3 02:16:43 EDT 2024
% Result : Theorem 3.27s 1.18s
% Output : CNFRefutation 3.27s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : ~ distinct_points(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',apart1) ).
fof(f2,axiom,
! [X0] : ~ distinct_lines(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',apart2) ).
fof(f4,axiom,
! [X0,X1,X2] :
( distinct_points(X0,X1)
=> ( distinct_points(X1,X2)
| distinct_points(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',apart4) ).
fof(f5,axiom,
! [X0,X1,X2] :
( distinct_lines(X0,X1)
=> ( distinct_lines(X1,X2)
| distinct_lines(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',apart5) ).
fof(f7,axiom,
! [X0,X1,X2] :
( distinct_points(X0,X1)
=> ( apart_point_and_line(X2,line_connecting(X0,X1))
=> ( distinct_points(X2,X1)
& distinct_points(X2,X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con1) ).
fof(f9,axiom,
! [X0,X1,X3,X4] :
( ( distinct_lines(X3,X4)
& distinct_points(X0,X1) )
=> ( apart_point_and_line(X1,X4)
| apart_point_and_line(X1,X3)
| apart_point_and_line(X0,X4)
| apart_point_and_line(X0,X3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cu1) ).
fof(f10,axiom,
! [X0,X1,X2] :
( apart_point_and_line(X0,X1)
=> ( apart_point_and_line(X2,X1)
| distinct_points(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ceq1) ).
fof(f11,axiom,
! [X0,X1,X2] :
( apart_point_and_line(X0,X1)
=> ( apart_point_and_line(X0,X2)
| distinct_lines(X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ceq2) ).
fof(f13,conjecture,
! [X0,X1,X2] :
( distinct_points(X0,X1)
=> ( apart_point_and_line(X2,line_connecting(X0,X1))
=> apart_point_and_line(X0,line_connecting(X2,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(f14,negated_conjecture,
~ ! [X0,X1,X2] :
( distinct_points(X0,X1)
=> ( apart_point_and_line(X2,line_connecting(X0,X1))
=> apart_point_and_line(X0,line_connecting(X2,X1)) ) ),
inference(negated_conjecture,[],[f13]) ).
fof(f15,plain,
! [X0,X1,X2,X3] :
( ( distinct_lines(X2,X3)
& distinct_points(X0,X1) )
=> ( apart_point_and_line(X1,X3)
| apart_point_and_line(X1,X2)
| apart_point_and_line(X0,X3)
| apart_point_and_line(X0,X2) ) ),
inference(rectify,[],[f9]) ).
fof(f16,plain,
! [X0,X1,X2] :
( distinct_points(X1,X2)
| distinct_points(X0,X2)
| ~ distinct_points(X0,X1) ),
inference(ennf_transformation,[],[f4]) ).
fof(f17,plain,
! [X0,X1,X2] :
( distinct_points(X1,X2)
| distinct_points(X0,X2)
| ~ distinct_points(X0,X1) ),
inference(flattening,[],[f16]) ).
fof(f18,plain,
! [X0,X1,X2] :
( distinct_lines(X1,X2)
| distinct_lines(X0,X2)
| ~ distinct_lines(X0,X1) ),
inference(ennf_transformation,[],[f5]) ).
fof(f19,plain,
! [X0,X1,X2] :
( distinct_lines(X1,X2)
| distinct_lines(X0,X2)
| ~ distinct_lines(X0,X1) ),
inference(flattening,[],[f18]) ).
fof(f22,plain,
! [X0,X1,X2] :
( ( distinct_points(X2,X1)
& distinct_points(X2,X0) )
| ~ apart_point_and_line(X2,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(ennf_transformation,[],[f7]) ).
fof(f23,plain,
! [X0,X1,X2] :
( ( distinct_points(X2,X1)
& distinct_points(X2,X0) )
| ~ apart_point_and_line(X2,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(flattening,[],[f22]) ).
fof(f26,plain,
! [X0,X1,X2,X3] :
( apart_point_and_line(X1,X3)
| apart_point_and_line(X1,X2)
| apart_point_and_line(X0,X3)
| apart_point_and_line(X0,X2)
| ~ distinct_lines(X2,X3)
| ~ distinct_points(X0,X1) ),
inference(ennf_transformation,[],[f15]) ).
fof(f27,plain,
! [X0,X1,X2,X3] :
( apart_point_and_line(X1,X3)
| apart_point_and_line(X1,X2)
| apart_point_and_line(X0,X3)
| apart_point_and_line(X0,X2)
| ~ distinct_lines(X2,X3)
| ~ distinct_points(X0,X1) ),
inference(flattening,[],[f26]) ).
fof(f28,plain,
! [X0,X1,X2] :
( apart_point_and_line(X2,X1)
| distinct_points(X0,X2)
| ~ apart_point_and_line(X0,X1) ),
inference(ennf_transformation,[],[f10]) ).
fof(f29,plain,
! [X0,X1,X2] :
( apart_point_and_line(X2,X1)
| distinct_points(X0,X2)
| ~ apart_point_and_line(X0,X1) ),
inference(flattening,[],[f28]) ).
fof(f30,plain,
! [X0,X1,X2] :
( apart_point_and_line(X0,X2)
| distinct_lines(X1,X2)
| ~ apart_point_and_line(X0,X1) ),
inference(ennf_transformation,[],[f11]) ).
fof(f31,plain,
! [X0,X1,X2] :
( apart_point_and_line(X0,X2)
| distinct_lines(X1,X2)
| ~ apart_point_and_line(X0,X1) ),
inference(flattening,[],[f30]) ).
fof(f33,plain,
? [X0,X1,X2] :
( ~ apart_point_and_line(X0,line_connecting(X2,X1))
& apart_point_and_line(X2,line_connecting(X0,X1))
& distinct_points(X0,X1) ),
inference(ennf_transformation,[],[f14]) ).
fof(f34,plain,
? [X0,X1,X2] :
( ~ apart_point_and_line(X0,line_connecting(X2,X1))
& apart_point_and_line(X2,line_connecting(X0,X1))
& distinct_points(X0,X1) ),
inference(flattening,[],[f33]) ).
fof(f35,plain,
( ? [X0,X1,X2] :
( ~ apart_point_and_line(X0,line_connecting(X2,X1))
& apart_point_and_line(X2,line_connecting(X0,X1))
& distinct_points(X0,X1) )
=> ( ~ apart_point_and_line(sK0,line_connecting(sK2,sK1))
& apart_point_and_line(sK2,line_connecting(sK0,sK1))
& distinct_points(sK0,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f36,plain,
( ~ apart_point_and_line(sK0,line_connecting(sK2,sK1))
& apart_point_and_line(sK2,line_connecting(sK0,sK1))
& distinct_points(sK0,sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f34,f35]) ).
fof(f37,plain,
! [X0] : ~ distinct_points(X0,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f38,plain,
! [X0] : ~ distinct_lines(X0,X0),
inference(cnf_transformation,[],[f2]) ).
fof(f40,plain,
! [X2,X0,X1] :
( distinct_points(X1,X2)
| distinct_points(X0,X2)
| ~ distinct_points(X0,X1) ),
inference(cnf_transformation,[],[f17]) ).
fof(f41,plain,
! [X2,X0,X1] :
( distinct_lines(X1,X2)
| distinct_lines(X0,X2)
| ~ distinct_lines(X0,X1) ),
inference(cnf_transformation,[],[f19]) ).
fof(f43,plain,
! [X2,X0,X1] :
( distinct_points(X2,X0)
| ~ apart_point_and_line(X2,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(cnf_transformation,[],[f23]) ).
fof(f44,plain,
! [X2,X0,X1] :
( distinct_points(X2,X1)
| ~ apart_point_and_line(X2,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(cnf_transformation,[],[f23]) ).
fof(f47,plain,
! [X2,X3,X0,X1] :
( apart_point_and_line(X1,X3)
| apart_point_and_line(X1,X2)
| apart_point_and_line(X0,X3)
| apart_point_and_line(X0,X2)
| ~ distinct_lines(X2,X3)
| ~ distinct_points(X0,X1) ),
inference(cnf_transformation,[],[f27]) ).
fof(f48,plain,
! [X2,X0,X1] :
( apart_point_and_line(X2,X1)
| distinct_points(X0,X2)
| ~ apart_point_and_line(X0,X1) ),
inference(cnf_transformation,[],[f29]) ).
fof(f49,plain,
! [X2,X0,X1] :
( apart_point_and_line(X0,X2)
| distinct_lines(X1,X2)
| ~ apart_point_and_line(X0,X1) ),
inference(cnf_transformation,[],[f31]) ).
fof(f51,plain,
distinct_points(sK0,sK1),
inference(cnf_transformation,[],[f36]) ).
fof(f52,plain,
apart_point_and_line(sK2,line_connecting(sK0,sK1)),
inference(cnf_transformation,[],[f36]) ).
fof(f53,plain,
~ apart_point_and_line(sK0,line_connecting(sK2,sK1)),
inference(cnf_transformation,[],[f36]) ).
cnf(c_49,plain,
~ distinct_points(X0,X0),
inference(cnf_transformation,[],[f37]) ).
cnf(c_50,plain,
~ distinct_lines(X0,X0),
inference(cnf_transformation,[],[f38]) ).
cnf(c_52,plain,
( ~ distinct_points(X0,X1)
| distinct_points(X0,X2)
| distinct_points(X1,X2) ),
inference(cnf_transformation,[],[f40]) ).
cnf(c_53,plain,
( ~ distinct_lines(X0,X1)
| distinct_lines(X0,X2)
| distinct_lines(X1,X2) ),
inference(cnf_transformation,[],[f41]) ).
cnf(c_55,plain,
( ~ apart_point_and_line(X0,line_connecting(X1,X2))
| ~ distinct_points(X1,X2)
| distinct_points(X0,X2) ),
inference(cnf_transformation,[],[f44]) ).
cnf(c_56,plain,
( ~ apart_point_and_line(X0,line_connecting(X1,X2))
| ~ distinct_points(X1,X2)
| distinct_points(X0,X1) ),
inference(cnf_transformation,[],[f43]) ).
cnf(c_59,plain,
( ~ distinct_points(X0,X1)
| ~ distinct_lines(X2,X3)
| apart_point_and_line(X0,X2)
| apart_point_and_line(X0,X3)
| apart_point_and_line(X1,X2)
| apart_point_and_line(X1,X3) ),
inference(cnf_transformation,[],[f47]) ).
cnf(c_60,plain,
( ~ apart_point_and_line(X0,X1)
| distinct_points(X0,X2)
| apart_point_and_line(X2,X1) ),
inference(cnf_transformation,[],[f48]) ).
cnf(c_61,plain,
( ~ apart_point_and_line(X0,X1)
| distinct_lines(X1,X2)
| apart_point_and_line(X0,X2) ),
inference(cnf_transformation,[],[f49]) ).
cnf(c_63,negated_conjecture,
~ apart_point_and_line(sK0,line_connecting(sK2,sK1)),
inference(cnf_transformation,[],[f53]) ).
cnf(c_64,negated_conjecture,
apart_point_and_line(sK2,line_connecting(sK0,sK1)),
inference(cnf_transformation,[],[f52]) ).
cnf(c_65,negated_conjecture,
distinct_points(sK0,sK1),
inference(cnf_transformation,[],[f51]) ).
cnf(c_68,plain,
~ distinct_points(sK0,sK0),
inference(instantiation,[status(thm)],[c_49]) ).
cnf(c_209,plain,
line_connecting(sK0,sK1) = sP0_iProver_def,
definition ).
cnf(c_210,plain,
line_connecting(sK2,sK1) = sP1_iProver_def,
definition ).
cnf(c_211,negated_conjecture,
distinct_points(sK0,sK1),
inference(demodulation,[status(thm)],[c_65]) ).
cnf(c_212,negated_conjecture,
apart_point_and_line(sK2,sP0_iProver_def),
inference(demodulation,[status(thm)],[c_64,c_209]) ).
cnf(c_213,negated_conjecture,
~ apart_point_and_line(sK0,sP1_iProver_def),
inference(demodulation,[status(thm)],[c_63,c_210]) ).
cnf(c_412,plain,
( distinct_points(sK0,X0)
| distinct_points(sK1,X0) ),
inference(superposition,[status(thm)],[c_211,c_52]) ).
cnf(c_421,plain,
( distinct_points(X0,X1)
| distinct_points(sK0,X0)
| distinct_points(sK1,X1) ),
inference(superposition,[status(thm)],[c_412,c_52]) ).
cnf(c_447,plain,
( distinct_lines(sP0_iProver_def,X0)
| apart_point_and_line(sK2,X0) ),
inference(superposition,[status(thm)],[c_212,c_61]) ).
cnf(c_457,plain,
( ~ apart_point_and_line(X0,sP1_iProver_def)
| ~ distinct_points(sK2,sK1)
| distinct_points(X0,sK1) ),
inference(superposition,[status(thm)],[c_210,c_55]) ).
cnf(c_458,plain,
( ~ apart_point_and_line(X0,sP0_iProver_def)
| ~ distinct_points(sK0,sK1)
| distinct_points(X0,sK1) ),
inference(superposition,[status(thm)],[c_209,c_55]) ).
cnf(c_459,plain,
( ~ apart_point_and_line(X0,sP0_iProver_def)
| distinct_points(X0,sK1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_458,c_211]) ).
cnf(c_479,plain,
( distinct_lines(X0,X1)
| distinct_lines(sP0_iProver_def,X1)
| apart_point_and_line(sK2,X0) ),
inference(superposition,[status(thm)],[c_447,c_53]) ).
cnf(c_487,plain,
distinct_points(sK2,sK1),
inference(superposition,[status(thm)],[c_212,c_459]) ).
cnf(c_507,plain,
( distinct_points(X0,sK1)
| distinct_points(sK0,X0) ),
inference(superposition,[status(thm)],[c_421,c_49]) ).
cnf(c_562,plain,
( distinct_lines(X0,sP0_iProver_def)
| apart_point_and_line(sK2,X0) ),
inference(superposition,[status(thm)],[c_479,c_50]) ).
cnf(c_588,plain,
( distinct_points(X0,X1)
| distinct_points(X0,sK1)
| distinct_points(sK0,X1) ),
inference(superposition,[status(thm)],[c_507,c_52]) ).
cnf(c_648,plain,
( ~ apart_point_and_line(X0,sP1_iProver_def)
| ~ distinct_points(sK2,sK1)
| distinct_points(X0,sK2) ),
inference(superposition,[status(thm)],[c_210,c_56]) ).
cnf(c_649,plain,
( ~ apart_point_and_line(X0,sP0_iProver_def)
| ~ distinct_points(sK0,sK1)
| distinct_points(X0,sK0) ),
inference(superposition,[status(thm)],[c_209,c_56]) ).
cnf(c_650,plain,
( ~ apart_point_and_line(X0,sP0_iProver_def)
| distinct_points(X0,sK0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_649,c_211]) ).
cnf(c_653,plain,
( ~ apart_point_and_line(X0,sP1_iProver_def)
| distinct_points(X0,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_648,c_487]) ).
cnf(c_656,plain,
( ~ apart_point_and_line(sK0,sP0_iProver_def)
| distinct_points(sK0,sK0) ),
inference(instantiation,[status(thm)],[c_650]) ).
cnf(c_673,plain,
( ~ distinct_lines(X0,X1)
| apart_point_and_line(sK0,X0)
| apart_point_and_line(sK0,X1)
| apart_point_and_line(sK1,X0)
| apart_point_and_line(sK1,X1) ),
inference(superposition,[status(thm)],[c_211,c_59]) ).
cnf(c_779,plain,
( ~ distinct_points(sK1,X0)
| distinct_points(X0,X1)
| distinct_points(sK1,X1) ),
inference(instantiation,[status(thm)],[c_52]) ).
cnf(c_786,plain,
( ~ apart_point_and_line(X0,sP0_iProver_def)
| distinct_points(X0,X1)
| apart_point_and_line(X1,sP0_iProver_def) ),
inference(instantiation,[status(thm)],[c_60]) ).
cnf(c_793,plain,
~ distinct_points(sK1,sK1),
inference(instantiation,[status(thm)],[c_49]) ).
cnf(c_895,plain,
( apart_point_and_line(sK0,X0)
| apart_point_and_line(sK2,X0)
| apart_point_and_line(sK1,X0)
| apart_point_and_line(sK0,sP0_iProver_def)
| apart_point_and_line(sK1,sP0_iProver_def) ),
inference(superposition,[status(thm)],[c_562,c_673]) ).
cnf(c_931,plain,
( apart_point_and_line(sK1,X0)
| apart_point_and_line(sK2,X0)
| apart_point_and_line(sK0,X0)
| apart_point_and_line(sK1,sP0_iProver_def) ),
inference(global_subsumption_just,[status(thm)],[c_895,c_68,c_656,c_895]) ).
cnf(c_932,plain,
( apart_point_and_line(sK0,X0)
| apart_point_and_line(sK2,X0)
| apart_point_and_line(sK1,X0)
| apart_point_and_line(sK1,sP0_iProver_def) ),
inference(renaming,[status(thm)],[c_931]) ).
cnf(c_948,plain,
( distinct_points(sK2,sK2)
| apart_point_and_line(sK0,sP1_iProver_def)
| apart_point_and_line(sK1,sP0_iProver_def)
| apart_point_and_line(sK1,sP1_iProver_def) ),
inference(superposition,[status(thm)],[c_932,c_653]) ).
cnf(c_949,plain,
( apart_point_and_line(sK1,sP0_iProver_def)
| apart_point_and_line(sK1,sP1_iProver_def) ),
inference(forward_subsumption_resolution,[status(thm)],[c_948,c_213,c_49]) ).
cnf(c_996,plain,
( distinct_points(sK1,X0)
| apart_point_and_line(X0,sP1_iProver_def)
| apart_point_and_line(sK1,sP0_iProver_def) ),
inference(superposition,[status(thm)],[c_949,c_60]) ).
cnf(c_1204,plain,
( ~ distinct_points(sK1,X0)
| distinct_points(X0,sK1)
| distinct_points(sK1,sK1) ),
inference(instantiation,[status(thm)],[c_779]) ).
cnf(c_1211,plain,
( distinct_points(X0,sK0)
| distinct_points(X0,sK1) ),
inference(superposition,[status(thm)],[c_588,c_49]) ).
cnf(c_1275,plain,
( ~ apart_point_and_line(sK1,sP0_iProver_def)
| distinct_points(sK1,X0)
| apart_point_and_line(X0,sP0_iProver_def) ),
inference(instantiation,[status(thm)],[c_786]) ).
cnf(c_1287,plain,
distinct_points(X0,sK1),
inference(global_subsumption_just,[status(thm)],[c_1211,c_459,c_457,c_487,c_793,c_996,c_1204,c_1275]) ).
cnf(c_1289,plain,
$false,
inference(superposition,[status(thm)],[c_1287,c_49]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : GEO180+2 : TPTP v8.1.2. Released v3.3.0.
% 0.12/0.14 % Command : run_iprover %s %d THM
% 0.14/0.35 % Computer : n027.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri May 3 01:48:50 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.20/0.48 Running first-order theorem proving
% 0.20/0.48 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 3.27/1.18 % SZS status Started for theBenchmark.p
% 3.27/1.18 % SZS status Theorem for theBenchmark.p
% 3.27/1.18
% 3.27/1.18 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 3.27/1.18
% 3.27/1.18 ------ iProver source info
% 3.27/1.18
% 3.27/1.18 git: date: 2024-05-02 19:28:25 +0000
% 3.27/1.18 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 3.27/1.18 git: non_committed_changes: false
% 3.27/1.18
% 3.27/1.18 ------ Parsing...
% 3.27/1.18 ------ Clausification by vclausify_rel & Parsing by iProver...
% 3.27/1.18
% 3.27/1.18 ------ Preprocessing... sf_s rm: 5 0s sf_e pe_s pe_e sf_s rm: 0 0s sf_e pe_s pe_e
% 3.27/1.18
% 3.27/1.18 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.27/1.18
% 3.27/1.18 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.27/1.18 ------ Proving...
% 3.27/1.18 ------ Problem Properties
% 3.27/1.18
% 3.27/1.18
% 3.27/1.18 clauses 14
% 3.27/1.18 conjectures 3
% 3.27/1.18 EPR 10
% 3.27/1.18 Horn 9
% 3.27/1.18 unary 7
% 3.27/1.18 binary 0
% 3.27/1.18 lits 31
% 3.27/1.18 lits eq 2
% 3.27/1.18 fd_pure 0
% 3.27/1.18 fd_pseudo 0
% 3.27/1.18 fd_cond 0
% 3.27/1.18 fd_pseudo_cond 0
% 3.27/1.18 AC symbols 0
% 3.27/1.18
% 3.27/1.18 ------ Schedule dynamic 5 is on
% 3.27/1.18
% 3.27/1.18 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.27/1.18
% 3.27/1.18
% 3.27/1.18 ------
% 3.27/1.18 Current options:
% 3.27/1.18 ------
% 3.27/1.18
% 3.27/1.18
% 3.27/1.18
% 3.27/1.18
% 3.27/1.18 ------ Proving...
% 3.27/1.18
% 3.27/1.18
% 3.27/1.18 % SZS status Theorem for theBenchmark.p
% 3.27/1.18
% 3.27/1.18 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.27/1.18
% 3.27/1.18
%------------------------------------------------------------------------------