%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : CSR116+31 : TPTP v9.2.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n013.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 : Tue May 5 04:15:51 PM UTC 2026
% Result : Theorem 1.84s 2.04s
% Output : CNFRefutation 1.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 2
% Syntax : Number of formulae : 32 ( 19 unt; 0 def)
% Number of atoms : 389 ( 0 equ)
% Maximal formula atoms : 217 ( 12 avg)
% Number of connectives : 475 ( 118 ~; 107 |; 250 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 217 ( 13 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 23 ( 22 usr; 1 prp; 0-3 aty)
% Number of functors : 60 ( 60 usr; 60 con; 0-0 aty)
% Number of variables : 72 ( 7 sgn 9 !; 18 ?)
% Comments :
%------------------------------------------------------------------------------
fof(synth_qa07_010_mira_wp_673,conjecture,
? [X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( pmod(X9,erst_1_1,pr__344sident_1_1)
& arg1(X4,X1)
& arg2(X4,X5)
& attr(X1,X2)
& attr(X1,X3)
& attr(X6,X7)
& obj(X8,X1)
& prop(X5,schwarz_1_1)
& rslt(X8,X4)
& sub(X2,familiename_1_1)
& sub(X3,eigenname_1_1)
& sub(X5,X9)
& sub(X7,name_1_1)
& subr(X4,rprs_0)
& subs(X8,w__344hlen_1_2)
& val(X2,mandela_0)
& val(X3,nelson_0)
& val(X7,s__374dafrika_0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',synth_qa07_010_mira_wp_673) ).
fof(ave07_era5_synth_qa07_010_mira_wp_673,hypothesis,
( attch(c11,c7)
& sub(c11,apartheid_1_1)
& attr(c18,c19)
& attr(c18,c20)
& sub(c18,mensch_1_1)
& sub(c19,eigenname_1_1)
& val(c19,nelson_0)
& sub(c20,familiename_1_1)
& val(c20,mandela_0)
& prop(c26,schwarz_1_1)
& sub(c26,c28)
& pmod(c28,erst_1_1,pr__344sident_1_1)
& obj(c34,c18)
& rslt(c34,c55)
& subs(c34,w__344hlen_1_2)
& temp(c34,c52)
& attch(c48,c26)
& attr(c48,c49)
& sub(c48,land_1_1)
& sub(c49,name_1_1)
& val(c49,s__374dafrika_0)
& attr(c52,c53)
& sub(c53,jahr__1_1)
& val(c53,c50)
& arg1(c55,c18)
& arg2(c55,c26)
& subr(c55,rprs_0)
& ante(c7,c34)
& sub(c7,abschlu__337_1_1)
& sort(c11,io)
& card(c11,int1)
& etype(c11,int0)
& fact(c11,real)
& gener(c11,sp)
& quant(c11,one)
& refer(c11,det)
& varia(c11,con)
& sort(c7,ad)
& sort(c7,io)
& card(c7,int1)
& etype(c7,int0)
& fact(c7,real)
& gener(c7,sp)
& quant(c7,one)
& refer(c7,det)
& varia(c7,con)
& sort(apartheid_1_1,io)
& card(apartheid_1_1,int1)
& etype(apartheid_1_1,int0)
& fact(apartheid_1_1,real)
& gener(apartheid_1_1,ge)
& quant(apartheid_1_1,one)
& refer(apartheid_1_1,refer_c)
& varia(apartheid_1_1,varia_c)
& sort(c18,d)
& card(c18,int1)
& etype(c18,int0)
& fact(c18,real)
& gener(c18,sp)
& quant(c18,one)
& refer(c18,det)
& varia(c18,con)
& sort(c19,na)
& card(c19,int1)
& etype(c19,int0)
& fact(c19,real)
& gener(c19,sp)
& quant(c19,one)
& refer(c19,indet)
& varia(c19,varia_c)
& sort(c20,na)
& card(c20,int1)
& etype(c20,int0)
& fact(c20,real)
& gener(c20,sp)
& quant(c20,one)
& refer(c20,indet)
& varia(c20,varia_c)
& sort(mensch_1_1,d)
& card(mensch_1_1,int1)
& etype(mensch_1_1,int0)
& fact(mensch_1_1,real)
& gener(mensch_1_1,ge)
& quant(mensch_1_1,one)
& refer(mensch_1_1,refer_c)
& varia(mensch_1_1,varia_c)
& sort(eigenname_1_1,na)
& card(eigenname_1_1,int1)
& etype(eigenname_1_1,int0)
& fact(eigenname_1_1,real)
& gener(eigenname_1_1,ge)
& quant(eigenname_1_1,one)
& refer(eigenname_1_1,refer_c)
& varia(eigenname_1_1,varia_c)
& sort(nelson_0,fe)
& sort(familiename_1_1,na)
& card(familiename_1_1,int1)
& etype(familiename_1_1,int0)
& fact(familiename_1_1,real)
& gener(familiename_1_1,ge)
& quant(familiename_1_1,one)
& refer(familiename_1_1,refer_c)
& varia(familiename_1_1,varia_c)
& sort(mandela_0,fe)
& sort(c26,d)
& card(c26,int1)
& etype(c26,int0)
& fact(c26,real)
& gener(c26,sp)
& quant(c26,one)
& refer(c26,det)
& varia(c26,con)
& sort(schwarz_1_1,tq)
& sort(c28,d)
& card(c28,int1)
& etype(c28,int0)
& fact(c28,real)
& gener(c28,ge)
& quant(c28,one)
& refer(c28,refer_c)
& varia(c28,varia_c)
& sort(erst_1_1,oq)
& card(erst_1_1,int1)
& sort(pr__344sident_1_1,d)
& card(pr__344sident_1_1,int1)
& etype(pr__344sident_1_1,int0)
& fact(pr__344sident_1_1,real)
& gener(pr__344sident_1_1,ge)
& quant(pr__344sident_1_1,one)
& refer(pr__344sident_1_1,refer_c)
& varia(pr__344sident_1_1,varia_c)
& sort(c34,da)
& fact(c34,real)
& gener(c34,sp)
& sort(c55,st)
& fact(c55,real)
& gener(c55,sp)
& sort(w__344hlen_1_2,da)
& fact(w__344hlen_1_2,real)
& gener(w__344hlen_1_2,ge)
& sort(c52,t)
& card(c52,int1)
& etype(c52,int0)
& fact(c52,real)
& gener(c52,sp)
& quant(c52,one)
& refer(c52,det)
& varia(c52,con)
& sort(c48,d)
& sort(c48,io)
& card(c48,int1)
& etype(c48,int0)
& fact(c48,real)
& gener(c48,sp)
& quant(c48,one)
& refer(c48,det)
& varia(c48,con)
& sort(c49,na)
& card(c49,int1)
& etype(c49,int0)
& fact(c49,real)
& gener(c49,sp)
& quant(c49,one)
& refer(c49,indet)
& varia(c49,varia_c)
& sort(land_1_1,d)
& sort(land_1_1,io)
& card(land_1_1,int1)
& etype(land_1_1,int0)
& fact(land_1_1,real)
& gener(land_1_1,ge)
& quant(land_1_1,one)
& refer(land_1_1,refer_c)
& varia(land_1_1,varia_c)
& sort(name_1_1,na)
& card(name_1_1,int1)
& etype(name_1_1,int0)
& fact(name_1_1,real)
& gener(name_1_1,ge)
& quant(name_1_1,one)
& refer(name_1_1,refer_c)
& varia(name_1_1,varia_c)
& sort(s__374dafrika_0,fe)
& sort(c53,me)
& sort(c53,oa)
& sort(c53,ta)
& card(c53,card_c)
& etype(c53,etype_c)
& fact(c53,real)
& gener(c53,sp)
& quant(c53,quant_c)
& refer(c53,refer_c)
& varia(c53,varia_c)
& sort(jahr__1_1,me)
& sort(jahr__1_1,oa)
& sort(jahr__1_1,ta)
& card(jahr__1_1,card_c)
& etype(jahr__1_1,etype_c)
& fact(jahr__1_1,real)
& gener(jahr__1_1,ge)
& quant(jahr__1_1,quant_c)
& refer(jahr__1_1,refer_c)
& varia(jahr__1_1,varia_c)
& sort(c50,nu)
& card(c50,int1995)
& sort(rprs_0,st)
& fact(rprs_0,real)
& gener(rprs_0,gener_c)
& sort(abschlu__337_1_1,ad)
& sort(abschlu__337_1_1,io)
& card(abschlu__337_1_1,int1)
& etype(abschlu__337_1_1,int0)
& fact(abschlu__337_1_1,real)
& gener(abschlu__337_1_1,ge)
& quant(abschlu__337_1_1,one)
& refer(abschlu__337_1_1,refer_c)
& varia(abschlu__337_1_1,varia_c) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ave07_era5_synth_qa07_010_mira_wp_673) ).
fof(c_0_2,negated_conjecture,
~ ? [X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( pmod(X9,erst_1_1,pr__344sident_1_1)
& arg1(X4,X1)
& arg2(X4,X5)
& attr(X1,X2)
& attr(X1,X3)
& attr(X6,X7)
& obj(X8,X1)
& prop(X5,schwarz_1_1)
& rslt(X8,X4)
& sub(X2,familiename_1_1)
& sub(X3,eigenname_1_1)
& sub(X5,X9)
& sub(X7,name_1_1)
& subr(X4,rprs_0)
& subs(X8,w__344hlen_1_2)
& val(X2,mandela_0)
& val(X3,nelson_0)
& val(X7,s__374dafrika_0) ),
inference(assume_negation,[status(cth)],[synth_qa07_010_mira_wp_673]) ).
fof(c_0_3,negated_conjecture,
! [X418,X419,X420,X421,X422,X423,X424,X425,X426] :
( ~ pmod(X426,erst_1_1,pr__344sident_1_1)
| ~ arg1(X421,X418)
| ~ arg2(X421,X422)
| ~ attr(X418,X419)
| ~ attr(X418,X420)
| ~ attr(X423,X424)
| ~ obj(X425,X418)
| ~ prop(X422,schwarz_1_1)
| ~ rslt(X425,X421)
| ~ sub(X419,familiename_1_1)
| ~ sub(X420,eigenname_1_1)
| ~ sub(X422,X426)
| ~ sub(X424,name_1_1)
| ~ subr(X421,rprs_0)
| ~ subs(X425,w__344hlen_1_2)
| ~ val(X419,mandela_0)
| ~ val(X420,nelson_0)
| ~ val(X424,s__374dafrika_0) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])]) ).
cnf(c_0_4,negated_conjecture,
( ~ pmod(X1,erst_1_1,pr__344sident_1_1)
| ~ arg1(X2,X3)
| ~ arg2(X2,X4)
| ~ attr(X3,X5)
| ~ attr(X3,X6)
| ~ attr(X7,X8)
| ~ obj(X9,X3)
| ~ prop(X4,schwarz_1_1)
| ~ rslt(X9,X2)
| ~ sub(X5,familiename_1_1)
| ~ sub(X6,eigenname_1_1)
| ~ sub(X4,X1)
| ~ sub(X8,name_1_1)
| ~ subr(X2,rprs_0)
| ~ subs(X9,w__344hlen_1_2)
| ~ val(X5,mandela_0)
| ~ val(X6,nelson_0)
| ~ val(X8,s__374dafrika_0) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_5,hypothesis,
pmod(c28,erst_1_1,pr__344sident_1_1),
inference(split_conjunct,[status(thm)],[ave07_era5_synth_qa07_010_mira_wp_673]) ).
cnf(c_0_6,hypothesis,
( ~ val(X1,s__374dafrika_0)
| ~ val(X2,nelson_0)
| ~ val(X3,mandela_0)
| ~ prop(X4,schwarz_1_1)
| ~ subr(X5,rprs_0)
| ~ attr(X6,X1)
| ~ attr(X7,X2)
| ~ attr(X7,X3)
| ~ arg2(X5,X4)
| ~ arg1(X5,X7)
| ~ obj(X8,X7)
| ~ rslt(X8,X5)
| ~ subs(X8,w__344hlen_1_2)
| ~ sub(X1,name_1_1)
| ~ sub(X2,eigenname_1_1)
| ~ sub(X3,familiename_1_1)
| ~ sub(X4,c28) ),
inference(spm,[status(thm)],[c_0_4,c_0_5]) ).
cnf(c_0_7,hypothesis,
val(c49,s__374dafrika_0),
inference(split_conjunct,[status(thm)],[ave07_era5_synth_qa07_010_mira_wp_673]) ).
cnf(c_0_8,hypothesis,
sub(c49,name_1_1),
inference(split_conjunct,[status(thm)],[ave07_era5_synth_qa07_010_mira_wp_673]) ).
cnf(c_0_9,hypothesis,
( ~ val(X1,nelson_0)
| ~ val(X2,mandela_0)
| ~ prop(X3,schwarz_1_1)
| ~ subr(X4,rprs_0)
| ~ attr(X5,c49)
| ~ attr(X6,X1)
| ~ attr(X6,X2)
| ~ arg2(X4,X3)
| ~ arg1(X4,X6)
| ~ obj(X7,X6)
| ~ rslt(X7,X4)
| ~ subs(X7,w__344hlen_1_2)
| ~ sub(X1,eigenname_1_1)
| ~ sub(X2,familiename_1_1)
| ~ sub(X3,c28) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_7]),c_0_8])]) ).
cnf(c_0_10,hypothesis,
val(c19,nelson_0),
inference(split_conjunct,[status(thm)],[ave07_era5_synth_qa07_010_mira_wp_673]) ).
cnf(c_0_11,hypothesis,
sub(c19,eigenname_1_1),
inference(split_conjunct,[status(thm)],[ave07_era5_synth_qa07_010_mira_wp_673]) ).
cnf(c_0_12,hypothesis,
( ~ val(X1,mandela_0)
| ~ prop(X2,schwarz_1_1)
| ~ subr(X3,rprs_0)
| ~ attr(X4,c49)
| ~ attr(X5,c19)
| ~ attr(X5,X1)
| ~ arg2(X3,X2)
| ~ arg1(X3,X5)
| ~ obj(X6,X5)
| ~ rslt(X6,X3)
| ~ subs(X6,w__344hlen_1_2)
| ~ sub(X1,familiename_1_1)
| ~ sub(X2,c28) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_10]),c_0_11])]) ).
cnf(c_0_13,hypothesis,
val(c20,mandela_0),
inference(split_conjunct,[status(thm)],[ave07_era5_synth_qa07_010_mira_wp_673]) ).
cnf(c_0_14,hypothesis,
sub(c20,familiename_1_1),
inference(split_conjunct,[status(thm)],[ave07_era5_synth_qa07_010_mira_wp_673]) ).
cnf(c_0_15,hypothesis,
( ~ prop(X1,schwarz_1_1)
| ~ subr(X2,rprs_0)
| ~ attr(X3,c49)
| ~ attr(X4,c19)
| ~ attr(X4,c20)
| ~ arg2(X2,X1)
| ~ arg1(X2,X4)
| ~ obj(X5,X4)
| ~ rslt(X5,X2)
| ~ subs(X5,w__344hlen_1_2)
| ~ sub(X1,c28) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_14])]) ).
cnf(c_0_16,hypothesis,
prop(c26,schwarz_1_1),
inference(split_conjunct,[status(thm)],[ave07_era5_synth_qa07_010_mira_wp_673]) ).
cnf(c_0_17,hypothesis,
sub(c26,c28),
inference(split_conjunct,[status(thm)],[ave07_era5_synth_qa07_010_mira_wp_673]) ).
cnf(c_0_18,hypothesis,
( ~ subr(X1,rprs_0)
| ~ attr(X2,c49)
| ~ attr(X3,c19)
| ~ attr(X3,c20)
| ~ arg2(X1,c26)
| ~ arg1(X1,X3)
| ~ obj(X4,X3)
| ~ rslt(X4,X1)
| ~ subs(X4,w__344hlen_1_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_17])]) ).
cnf(c_0_19,hypothesis,
subr(c55,rprs_0),
inference(split_conjunct,[status(thm)],[ave07_era5_synth_qa07_010_mira_wp_673]) ).
cnf(c_0_20,hypothesis,
arg2(c55,c26),
inference(split_conjunct,[status(thm)],[ave07_era5_synth_qa07_010_mira_wp_673]) ).
cnf(c_0_21,hypothesis,
( ~ attr(X1,c49)
| ~ attr(X2,c19)
| ~ attr(X2,c20)
| ~ arg1(c55,X2)
| ~ obj(X3,X2)
| ~ rslt(X3,c55)
| ~ subs(X3,w__344hlen_1_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_20])]) ).
cnf(c_0_22,hypothesis,
attr(c48,c49),
inference(split_conjunct,[status(thm)],[ave07_era5_synth_qa07_010_mira_wp_673]) ).
cnf(c_0_23,hypothesis,
( ~ attr(X1,c19)
| ~ attr(X1,c20)
| ~ arg1(c55,X1)
| ~ obj(X2,X1)
| ~ rslt(X2,c55)
| ~ subs(X2,w__344hlen_1_2) ),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_24,hypothesis,
attr(c18,c19),
inference(split_conjunct,[status(thm)],[ave07_era5_synth_qa07_010_mira_wp_673]) ).
cnf(c_0_25,hypothesis,
attr(c18,c20),
inference(split_conjunct,[status(thm)],[ave07_era5_synth_qa07_010_mira_wp_673]) ).
cnf(c_0_26,hypothesis,
arg1(c55,c18),
inference(split_conjunct,[status(thm)],[ave07_era5_synth_qa07_010_mira_wp_673]) ).
cnf(c_0_27,hypothesis,
( ~ obj(X1,c18)
| ~ rslt(X1,c55)
| ~ subs(X1,w__344hlen_1_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_25]),c_0_26])]) ).
cnf(c_0_28,hypothesis,
rslt(c34,c55),
inference(split_conjunct,[status(thm)],[ave07_era5_synth_qa07_010_mira_wp_673]) ).
cnf(c_0_29,hypothesis,
obj(c34,c18),
inference(split_conjunct,[status(thm)],[ave07_era5_synth_qa07_010_mira_wp_673]) ).
cnf(c_0_30,hypothesis,
subs(c34,w__344hlen_1_2),
inference(split_conjunct,[status(thm)],[ave07_era5_synth_qa07_010_mira_wp_673]) ).
cnf(c_0_31,hypothesis,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_29]),c_0_30])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : CSR116+31 : TPTP v9.2.1. Released v4.0.0.
% 0.00/0.12 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.16/0.33 % Computer : n013.cluster.edu
% 0.16/0.33 % Model : x86_64 x86_64
% 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.33 % Memory : 8042.1875MB
% 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.33 % CPULimit : 300
% 0.16/0.33 % WCLimit : 300
% 0.16/0.33 % DateTime : Mon May 4 17:08:56 EDT 2026
% 0.16/0.33 % CPUTime :
% 0.16/0.34 % start to proof: theBenchmark
% 1.84/2.04 % Version : CSE_E---1.7
% 1.84/2.04 % Problem : theBenchmark.p
% 1.84/2.04 % SZS status Theorem for theBenchmark.p
% 1.84/2.04 % SZS output start CNFRefutation
% See solution above
% 1.84/2.04 % Total time : 1.663s
%------------------------------------------------------------------------------