%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : GEO069-3 : TPTP v9.2.1. Bugfixed v1.2.1.
% 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 : 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 : Tue May 5 04:19:13 PM UTC 2026
% Result : Unsatisfiable 1.29s 1.73s
% Output : CNFRefutation 1.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 13
% Syntax : Number of clauses : 43 ( 19 unt; 6 nHn; 41 RR)
% Number of literals : 79 ( 6 equ; 38 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 59 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(t10_1,axiom,
( colinear(X3,X2,X1)
| ~ colinear(X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t10_1) ).
cnf(xvu_colinear,hypothesis,
colinear(x,v,u),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',xvu_colinear) ).
cnf(t10_4,axiom,
( colinear(X3,X1,X2)
| ~ colinear(X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t10_4) ).
cnf(wvu_colinear,hypothesis,
colinear(w,v,u),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',wvu_colinear) ).
cnf(t12_2,axiom,
( colinear(X2,X3,X4)
| X1 = X2
| ~ colinear(X1,X2,X3)
| ~ colinear(X1,X2,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t12_2) ).
cnf(u_not_v,hypothesis,
u != v,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_not_v) ).
cnf(t12_1,axiom,
( colinear(X1,X3,X4)
| X1 = X2
| ~ colinear(X1,X2,X3)
| ~ colinear(X1,X2,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t12_1) ).
cnf(prove_xwu_and_xwv_colinear,negated_conjecture,
( ~ colinear(x,w,u)
| ~ colinear(x,w,v) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_xwu_and_xwv_colinear) ).
cnf(c2_2,axiom,
( colinear(X1,X3,X2)
| ~ between(X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c2_2) ).
cnf(c2_3,axiom,
( colinear(X2,X1,X3)
| ~ between(X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c2_3) ).
cnf(c2_1,axiom,
( colinear(X3,X2,X1)
| ~ between(X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c2_1) ).
cnf(c3_2,axiom,
colinear(X1,X2,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c3_2) ).
cnf(colinearity4,axiom,
( between(X1,X2,X3)
| between(X2,X3,X1)
| between(X3,X1,X2)
| ~ colinear(X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO002-1.ax',colinearity4) ).
cnf(c_0_13,axiom,
( colinear(X3,X2,X1)
| ~ colinear(X1,X2,X3) ),
t10_1 ).
cnf(c_0_14,hypothesis,
colinear(x,v,u),
xvu_colinear ).
cnf(c_0_15,axiom,
( colinear(X3,X1,X2)
| ~ colinear(X1,X2,X3) ),
t10_4 ).
cnf(c_0_16,hypothesis,
colinear(w,v,u),
wvu_colinear ).
cnf(c_0_17,axiom,
( colinear(X2,X3,X4)
| X1 = X2
| ~ colinear(X1,X2,X3)
| ~ colinear(X1,X2,X4) ),
t12_2 ).
cnf(c_0_18,hypothesis,
colinear(u,v,x),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_19,hypothesis,
u != v,
u_not_v ).
cnf(c_0_20,hypothesis,
colinear(u,w,v),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_21,hypothesis,
( colinear(v,X1,x)
| ~ colinear(u,v,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_19]) ).
cnf(c_0_22,hypothesis,
colinear(u,v,w),
inference(spm,[status(thm)],[c_0_13,c_0_16]) ).
cnf(c_0_23,axiom,
( colinear(X1,X3,X4)
| X1 = X2
| ~ colinear(X1,X2,X3)
| ~ colinear(X1,X2,X4) ),
t12_1 ).
cnf(c_0_24,hypothesis,
colinear(v,u,w),
inference(spm,[status(thm)],[c_0_15,c_0_20]) ).
cnf(c_0_25,negated_conjecture,
( ~ colinear(x,w,u)
| ~ colinear(x,w,v) ),
prove_xwu_and_xwv_colinear ).
cnf(c_0_26,axiom,
( colinear(X1,X3,X2)
| ~ between(X1,X2,X3) ),
c2_2 ).
cnf(c_0_27,hypothesis,
colinear(v,w,x),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_28,axiom,
( colinear(X2,X1,X3)
| ~ between(X1,X2,X3) ),
c2_3 ).
cnf(c_0_29,axiom,
( colinear(X3,X2,X1)
| ~ between(X1,X2,X3) ),
c2_1 ).
cnf(c_0_30,hypothesis,
( colinear(u,X1,x)
| ~ colinear(u,v,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_18]),c_0_19]) ).
cnf(c_0_31,hypothesis,
( colinear(u,X1,w)
| ~ colinear(v,u,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_24]),c_0_19]) ).
cnf(c_0_32,axiom,
colinear(X1,X2,X1),
c3_2 ).
cnf(c_0_33,negated_conjecture,
( ~ colinear(x,w,v)
| ~ between(x,u,w) ),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_34,hypothesis,
colinear(x,w,v),
inference(spm,[status(thm)],[c_0_13,c_0_27]) ).
cnf(c_0_35,negated_conjecture,
( ~ colinear(x,w,v)
| ~ between(w,x,u) ),
inference(spm,[status(thm)],[c_0_25,c_0_28]) ).
cnf(c_0_36,negated_conjecture,
( ~ colinear(x,w,v)
| ~ between(u,w,x) ),
inference(spm,[status(thm)],[c_0_25,c_0_29]) ).
cnf(c_0_37,axiom,
( between(X1,X2,X3)
| between(X2,X3,X1)
| between(X3,X1,X2)
| ~ colinear(X1,X2,X3) ),
colinearity4 ).
cnf(c_0_38,hypothesis,
colinear(u,w,x),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_32])]) ).
cnf(c_0_39,negated_conjecture,
~ between(x,u,w),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_33,c_0_34])]) ).
cnf(c_0_40,negated_conjecture,
~ between(w,x,u),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_35,c_0_34])]) ).
cnf(c_0_41,negated_conjecture,
~ between(u,w,x),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_36,c_0_34])]) ).
cnf(c_0_42,hypothesis,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_39]),c_0_40]),c_0_41]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO069-3 : TPTP v9.2.1. Bugfixed v1.2.1.
% 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 : n027.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 17:39:20 EDT 2026
% 0.16/0.33 % CPUTime :
% 0.16/0.34 % start to proof: theBenchmark
% 1.29/1.73 % Version : CSE_E---1.7
% 1.29/1.73 % Problem : theBenchmark.p
% 1.29/1.73 % SZS status Unsatisfiable for theBenchmark.p
% 1.29/1.73 % SZS output start CNFRefutation
% See solution above
% 1.29/1.73 % Total time : 1.374s
%------------------------------------------------------------------------------