%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : CSR116+44 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n009.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 : Sun Sep 27 07:07:56 AM UTC 2026
% Result : Theorem 1.37s 0.67s
% Output : CNFRefutation 1.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 2
% Syntax : Number of formulae : 36 ( 18 unt; 0 def)
% Number of atoms : 358 ( 0 equ)
% Maximal formula atoms : 173 ( 9 avg)
% Number of connectives : 459 ( 137 ~; 120 |; 202 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 173 ( 11 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 23 ( 22 usr; 1 prp; 0-3 aty)
% Number of functors : 46 ( 46 usr; 46 con; 0-0 aty)
% Number of variables : 56 ( 16 sgn 0 !; 18 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ave07_era5_synth_qa07_010_mn3_310,axiom,
( varia(pr__344sident_1_1,varia_c)
& refer(pr__344sident_1_1,refer_c)
& quant(pr__344sident_1_1,one)
& gener(pr__344sident_1_1,ge)
& fact(pr__344sident_1_1,real)
& etype(pr__344sident_1_1,int0)
& card(pr__344sident_1_1,int1)
& sort(pr__344sident_1_1,d)
& sort(mandela_0,fe)
& varia(familiename_1_1,varia_c)
& refer(familiename_1_1,refer_c)
& quant(familiename_1_1,one)
& gener(familiename_1_1,ge)
& fact(familiename_1_1,real)
& etype(familiename_1_1,int0)
& card(familiename_1_1,int1)
& sort(familiename_1_1,na)
& sort(nelson_0,fe)
& varia(eigenname_1_1,varia_c)
& refer(eigenname_1_1,refer_c)
& quant(eigenname_1_1,one)
& gener(eigenname_1_1,ge)
& fact(eigenname_1_1,real)
& etype(eigenname_1_1,int0)
& card(eigenname_1_1,int1)
& sort(eigenname_1_1,na)
& varia(mensch_1_1,varia_c)
& refer(mensch_1_1,refer_c)
& quant(mensch_1_1,one)
& gener(mensch_1_1,ge)
& fact(mensch_1_1,real)
& etype(mensch_1_1,int0)
& card(mensch_1_1,int1)
& sort(mensch_1_1,d)
& varia(c8,varia_c)
& refer(c8,indet)
& quant(c8,one)
& gener(c8,sp)
& fact(c8,real)
& etype(c8,int0)
& card(c8,int1)
& sort(c8,na)
& varia(c7,varia_c)
& refer(c7,indet)
& quant(c7,one)
& gener(c7,sp)
& fact(c7,real)
& etype(c7,int0)
& card(c7,int1)
& sort(c7,na)
& gener(rprs_0,gener_c)
& fact(rprs_0,real)
& sort(rprs_0,st)
& sort(s__374dafrika_0,fe)
& varia(name_1_1,varia_c)
& refer(name_1_1,refer_c)
& quant(name_1_1,one)
& gener(name_1_1,ge)
& fact(name_1_1,real)
& etype(name_1_1,int0)
& card(name_1_1,int1)
& sort(name_1_1,na)
& varia(land_1_1,varia_c)
& refer(land_1_1,refer_c)
& quant(land_1_1,one)
& gener(land_1_1,ge)
& fact(land_1_1,real)
& etype(land_1_1,int0)
& card(land_1_1,int1)
& sort(land_1_1,io)
& sort(land_1_1,d)
& varia(c38,varia_c)
& refer(c38,indet)
& quant(c38,one)
& gener(c38,sp)
& fact(c38,real)
& etype(c38,int0)
& card(c38,int1)
& sort(c38,na)
& varia(c37,con)
& refer(c37,det)
& quant(c37,one)
& gener(c37,sp)
& fact(c37,real)
& etype(c37,int0)
& card(c37,int1)
& sort(c37,io)
& sort(c37,d)
& gener(ernennen_1_2,ge)
& fact(ernennen_1_2,real)
& sort(ernennen_1_2,da)
& gener(c42,sp)
& fact(c42,real)
& sort(c42,st)
& varia(c6,con)
& refer(c6,det)
& quant(c6,one)
& gener(c6,sp)
& fact(c6,real)
& etype(c6,int0)
& card(c6,int1)
& sort(c6,d)
& gener(c27,sp)
& fact(c27,real)
& sort(c27,da)
& varia(staatpr__344sident_1_1,varia_c)
& refer(staatpr__344sident_1_1,refer_c)
& quant(staatpr__344sident_1_1,one)
& gener(staatpr__344sident_1_1,ge)
& fact(staatpr__344sident_1_1,real)
& etype(staatpr__344sident_1_1,int0)
& card(staatpr__344sident_1_1,int1)
& sort(staatpr__344sident_1_1,d)
& card(erst_1_1,int1)
& sort(erst_1_1,oq)
& varia(c25,varia_c)
& refer(c25,refer_c)
& quant(c25,one)
& gener(c25,ge)
& fact(c25,real)
& etype(c25,int0)
& card(c25,int1)
& sort(c25,d)
& sort(schwarz_1_1,tq)
& varia(c23,con)
& refer(c23,det)
& quant(c23,one)
& gener(c23,sp)
& fact(c23,real)
& etype(c23,int0)
& card(c23,int1)
& sort(c23,d)
& varia(montag__1_1,varia_c)
& refer(montag__1_1,refer_c)
& quant(montag__1_1,one)
& gener(montag__1_1,ge)
& fact(montag__1_1,real)
& etype(montag__1_1,int0)
& card(montag__1_1,int1)
& sort(montag__1_1,ta)
& varia(c16,con)
& refer(c16,det)
& quant(c16,one)
& gener(c16,sp)
& fact(c16,real)
& etype(c16,int0)
& card(c16,int1)
& sort(c16,ta)
& sub(staatpr__344sident_1_1,pr__344sident_1_1)
& assoc(staatpr__344sident_1_1,land_1_1)
& val(c8,mandela_0)
& sub(c8,familiename_1_1)
& val(c7,nelson_0)
& sub(c7,eigenname_1_1)
& sub(c6,mensch_1_1)
& attr(c6,c8)
& attr(c6,c7)
& subr(c42,rprs_0)
& arg2(c42,c23)
& arg1(c42,c6)
& val(c38,s__374dafrika_0)
& sub(c38,name_1_1)
& sub(c37,land_1_1)
& attr(c37,c38)
& attch(c37,c23)
& temp(c27,c16)
& subs(c27,ernennen_1_2)
& rslt(c27,c42)
& obj(c27,c6)
& pmod(c25,erst_1_1,staatpr__344sident_1_1)
& sub(c23,c25)
& prop(c23,schwarz_1_1)
& sub(c16,montag__1_1) ),
file('theBenchmark.p',ave07_era5_synth_qa07_010_mn3_310) ).
fof(synth_qa07_010_mn3_310,conjecture,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( val(X6,s__374dafrika_0)
& val(X2,nelson_0)
& val(X1,mandela_0)
& subr(X3,rprs_0)
& sub(X6,name_1_1)
& sub(X4,X8)
& sub(X2,eigenname_1_1)
& sub(X1,familiename_1_1)
& rslt(X7,X3)
& prop(X4,schwarz_1_1)
& obj(X7,X0)
& attr(X5,X6)
& attr(X0,X2)
& attr(X0,X1)
& arg2(X3,X4)
& arg1(X3,X0) ),
file('theBenchmark.p',synth_qa07_010_mn3_310) ).
fof(synth_qa07_010_mn3_310_neg,negated_conjecture,
~ ? [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( val(X6,s__374dafrika_0)
& val(X2,nelson_0)
& val(X1,mandela_0)
& subr(X3,rprs_0)
& sub(X6,name_1_1)
& sub(X4,X8)
& sub(X2,eigenname_1_1)
& sub(X1,familiename_1_1)
& rslt(X7,X3)
& prop(X4,schwarz_1_1)
& obj(X7,X0)
& attr(X5,X6)
& attr(X0,X2)
& attr(X0,X1)
& arg2(X3,X4)
& arg1(X3,X0) ),
inference(assume_negation,[status(cth)],[synth_qa07_010_mn3_310]) ).
cnf(c_261,plain,
prop(c23,schwarz_1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mn3_310]) ).
cnf(c_262,plain,
sub(c23,c25),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mn3_310]) ).
cnf(c_264,plain,
obj(c27,c6),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mn3_310]) ).
cnf(c_265,plain,
rslt(c27,c42),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mn3_310]) ).
cnf(c_269,plain,
attr(c37,c38),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mn3_310]) ).
cnf(c_271,plain,
sub(c38,name_1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mn3_310]) ).
cnf(c_272,plain,
val(c38,s__374dafrika_0),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mn3_310]) ).
cnf(c_273,plain,
arg1(c42,c6),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mn3_310]) ).
cnf(c_274,plain,
arg2(c42,c23),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mn3_310]) ).
cnf(c_275,plain,
subr(c42,rprs_0),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mn3_310]) ).
cnf(c_276,plain,
attr(c6,c7),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mn3_310]) ).
cnf(c_277,plain,
attr(c6,c8),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mn3_310]) ).
cnf(c_279,plain,
sub(c7,eigenname_1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mn3_310]) ).
cnf(c_280,plain,
val(c7,nelson_0),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mn3_310]) ).
cnf(c_281,plain,
sub(c8,familiename_1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mn3_310]) ).
cnf(c_282,plain,
val(c8,mandela_0),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mn3_310]) ).
cnf(c_433,negated_conjecture,
( ~ val(V6,s__374dafrika_0)
| ~ val(E,nelson_0)
| ~ val(D,mandela_0)
| ~ subr(A,rprs_0)
| ~ sub(V6,name_1_1)
| ~ sub(C,V8)
| ~ sub(E,eigenname_1_1)
| ~ sub(D,familiename_1_1)
| ~ rslt(V7,A)
| ~ prop(C,schwarz_1_1)
| ~ obj(V7,B)
| ~ attr(F,V6)
| ~ attr(B,E)
| ~ attr(B,D)
| ~ arg2(A,C)
| ~ arg1(A,B) ),
inference(clausify,[status(thm)],[synth_qa07_010_mn3_310_neg]) ).
cnf(c_456,negated_conjecture,
( ~ val(E,s__374dafrika_0)
| ~ val(C,nelson_0)
| ~ val(B,mandela_0)
| ~ subr(c42,rprs_0)
| ~ sub(E,name_1_1)
| ~ sub(A,V6)
| ~ sub(C,eigenname_1_1)
| ~ sub(B,familiename_1_1)
| ~ rslt(F,c42)
| ~ prop(A,schwarz_1_1)
| ~ obj(F,c6)
| ~ attr(D,E)
| ~ attr(c6,C)
| ~ attr(c6,B)
| ~ arg2(c42,A) ),
inference(resolve,[status(thm)],[c_433,c_273]) ).
cnf(c_457,negated_conjecture,
( ~ val(D,s__374dafrika_0)
| ~ val(B,nelson_0)
| ~ val(A,mandela_0)
| ~ subr(c42,rprs_0)
| ~ sub(D,name_1_1)
| ~ sub(c23,F)
| ~ sub(B,eigenname_1_1)
| ~ sub(A,familiename_1_1)
| ~ rslt(E,c42)
| ~ prop(c23,schwarz_1_1)
| ~ obj(E,c6)
| ~ attr(C,D)
| ~ attr(c6,B)
| ~ attr(c6,A) ),
inference(resolve,[status(thm)],[c_456,c_274]) ).
cnf(c_458,negated_conjecture,
( ~ val(C,s__374dafrika_0)
| ~ val(A,nelson_0)
| ~ val(c8,mandela_0)
| ~ subr(c42,rprs_0)
| ~ sub(C,name_1_1)
| ~ sub(c23,E)
| ~ sub(A,eigenname_1_1)
| ~ sub(c8,familiename_1_1)
| ~ rslt(D,c42)
| ~ prop(c23,schwarz_1_1)
| ~ obj(D,c6)
| ~ attr(B,C)
| ~ attr(c6,A) ),
inference(resolve,[status(thm)],[c_457,c_277]) ).
cnf(c_459,negated_conjecture,
( ~ val(B,s__374dafrika_0)
| ~ val(c7,nelson_0)
| ~ val(c8,mandela_0)
| ~ subr(c42,rprs_0)
| ~ sub(B,name_1_1)
| ~ sub(c23,D)
| ~ sub(c7,eigenname_1_1)
| ~ sub(c8,familiename_1_1)
| ~ rslt(C,c42)
| ~ prop(c23,schwarz_1_1)
| ~ obj(C,c6)
| ~ attr(A,B) ),
inference(resolve,[status(thm)],[c_458,c_276]) ).
cnf(c_460,negated_conjecture,
( ~ val(c38,s__374dafrika_0)
| ~ val(c7,nelson_0)
| ~ val(c8,mandela_0)
| ~ subr(c42,rprs_0)
| ~ sub(c38,name_1_1)
| ~ sub(c23,B)
| ~ sub(c7,eigenname_1_1)
| ~ sub(c8,familiename_1_1)
| ~ rslt(A,c42)
| ~ prop(c23,schwarz_1_1)
| ~ obj(A,c6) ),
inference(resolve,[status(thm)],[c_459,c_269]) ).
cnf(c_461,negated_conjecture,
( ~ val(c38,s__374dafrika_0)
| ~ val(c7,nelson_0)
| ~ val(c8,mandela_0)
| ~ subr(c42,rprs_0)
| ~ sub(c38,name_1_1)
| ~ sub(c23,A)
| ~ sub(c7,eigenname_1_1)
| ~ sub(c8,familiename_1_1)
| ~ rslt(c27,c42)
| ~ prop(c23,schwarz_1_1) ),
inference(resolve,[status(thm)],[c_460,c_264]) ).
cnf(c_462,negated_conjecture,
( ~ val(c38,s__374dafrika_0)
| ~ val(c7,nelson_0)
| ~ val(c8,mandela_0)
| ~ subr(c42,rprs_0)
| ~ sub(c38,name_1_1)
| ~ sub(c23,A)
| ~ sub(c7,eigenname_1_1)
| ~ sub(c8,familiename_1_1)
| ~ rslt(c27,c42) ),
inference(resolve,[status(thm)],[c_461,c_261]) ).
cnf(c_463,negated_conjecture,
( ~ val(c38,s__374dafrika_0)
| ~ val(c7,nelson_0)
| ~ val(c8,mandela_0)
| ~ subr(c42,rprs_0)
| ~ sub(c38,name_1_1)
| ~ sub(c23,A)
| ~ sub(c7,eigenname_1_1)
| ~ sub(c8,familiename_1_1) ),
inference(resolve,[status(thm)],[c_462,c_265]) ).
cnf(c_464,negated_conjecture,
( ~ val(c38,s__374dafrika_0)
| ~ val(c7,nelson_0)
| ~ val(c8,mandela_0)
| ~ subr(c42,rprs_0)
| ~ sub(c38,name_1_1)
| ~ sub(c23,A)
| ~ sub(c7,eigenname_1_1) ),
inference(resolve,[status(thm)],[c_463,c_281]) ).
cnf(c_465,negated_conjecture,
( ~ val(c38,s__374dafrika_0)
| ~ val(c7,nelson_0)
| ~ val(c8,mandela_0)
| ~ subr(c42,rprs_0)
| ~ sub(c38,name_1_1)
| ~ sub(c23,A) ),
inference(resolve,[status(thm)],[c_464,c_279]) ).
cnf(c_466,negated_conjecture,
( ~ val(c38,s__374dafrika_0)
| ~ val(c7,nelson_0)
| ~ val(c8,mandela_0)
| ~ subr(c42,rprs_0)
| ~ sub(c38,name_1_1) ),
inference(resolve,[status(thm)],[c_465,c_262]) ).
cnf(c_467,negated_conjecture,
( ~ val(c38,s__374dafrika_0)
| ~ val(c7,nelson_0)
| ~ val(c8,mandela_0)
| ~ subr(c42,rprs_0) ),
inference(resolve,[status(thm)],[c_466,c_271]) ).
cnf(c_468,negated_conjecture,
( ~ val(c38,s__374dafrika_0)
| ~ val(c7,nelson_0)
| ~ val(c8,mandela_0) ),
inference(resolve,[status(thm)],[c_467,c_275]) ).
cnf(c_469,negated_conjecture,
( ~ val(c38,s__374dafrika_0)
| ~ val(c8,mandela_0) ),
inference(resolve,[status(thm)],[c_468,c_280]) ).
cnf(c_470,negated_conjecture,
~ val(c8,mandela_0),
inference(resolve,[status(thm)],[c_469,c_272]) ).
cnf(c_455,negated_conjecture,
$false,
inference(resolve,[status(thm)],[c_282,c_470]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR116+44 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n009.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Sun Sep 27 01:15:45 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.08/0.36 % Process 1537510 was started by sandbox2 on n009,
% 0.08/0.36 % Sun Sep 27 01:15:45 2026
% 0.08/0.36 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 1.37/0.67
% 1.37/0.67 % SInE (scan): 89 to sos (tol 1.5x), 26 to usable (tol 2.0x), 10073 zapped, of 10188 axioms (depth 3).
% 1.37/0.67
% 1.37/0.67 % From the command line: assign(max_seconds, 300).
% 1.37/0.67
% 1.37/0.67 % SZS status Theorem for theBenchmark
% 1.37/0.67
% 1.37/0.67 % Proof 1 at 0.10 (+ 0.05) seconds.
% 1.37/0.67 % Length of proof is 20.
% 1.37/0.67 % Level of proof is 2.
% 1.37/0.67 % Maximum clause weight is 50.000.
% 1.37/0.67 % Given clauses 57.
% 1.37/0.67
% 1.37/0.67 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------