%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : GEO033-3 : TPTP v9.2.1. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n001.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 04:19:05 PM UTC 2026
% Result : Unsatisfiable 106.35s 63.75s
% Output : CNFRefutation 106.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 13
% Syntax : Number of clauses : 37 ( 21 unt; 0 nHn; 37 RR)
% Number of literals : 79 ( 0 equ; 44 neg)
% Maximal clause size : 7 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-4 aty)
% Number of functors : 8 ( 8 usr; 8 con; 0-0 aty)
% Number of variables : 68 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(d4_5,axiom,
( equidistant(X4,X3,X2,X1)
| ~ equidistant(X1,X2,X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_5) ).
cnf(u_to_v_equals_u1_to_v1,hypothesis,
equidistant(u,v,u1,v1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_to_v_equals_u1_to_v1) ).
cnf(d8,axiom,
( equidistant(X1,X5,X3,X6)
| ~ equidistant(X1,X2,X3,X4)
| ~ equidistant(X2,X5,X4,X6)
| ~ between(X1,X2,X5)
| ~ between(X3,X4,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d8) ).
cnf(d3,axiom,
( equidistant(X2,X1,X3,X4)
| ~ equidistant(X1,X2,X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3) ).
cnf(v_to_w_equals_v1_to_w1,hypothesis,
equidistant(v,w,v1,w1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',v_to_w_equals_v1_to_w1) ).
cnf(t1,axiom,
( between(X3,X2,X1)
| ~ between(X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1) ).
cnf(v_between_u_and_w,hypothesis,
between(u,v,w),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',v_between_u_and_w) ).
cnf(v1_between_u1_and_w1,hypothesis,
between(u1,v1,w1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',v1_between_u1_and_w1) ).
cnf(d12,axiom,
( equidistant(X2,X7,X4,X8)
| ~ equidistant(X1,X2,X3,X4)
| ~ equidistant(X1,X5,X3,X6)
| ~ equidistant(X1,X7,X3,X8)
| ~ equidistant(X5,X7,X6,X8)
| ~ between(X1,X2,X5)
| ~ between(X3,X4,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d12) ).
cnf(w_to_x_equals_w1_to_x1,hypothesis,
equidistant(w,x,w1,x1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',w_to_x_equals_w1_to_x1) ).
cnf(d4_4,axiom,
( equidistant(X4,X3,X1,X2)
| ~ equidistant(X1,X2,X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_4) ).
cnf(u_to_x_equals_u1_to_x1,hypothesis,
equidistant(u,x,u1,x1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_to_x_equals_u1_to_x1) ).
cnf(prove_v_to_x_equals_v1_to_x1,negated_conjecture,
~ equidistant(v,x,v1,x1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_v_to_x_equals_v1_to_x1) ).
cnf(c_0_13,axiom,
( equidistant(X4,X3,X2,X1)
| ~ equidistant(X1,X2,X3,X4) ),
d4_5 ).
cnf(c_0_14,hypothesis,
equidistant(u,v,u1,v1),
u_to_v_equals_u1_to_v1 ).
cnf(c_0_15,axiom,
( equidistant(X1,X5,X3,X6)
| ~ equidistant(X1,X2,X3,X4)
| ~ equidistant(X2,X5,X4,X6)
| ~ between(X1,X2,X5)
| ~ between(X3,X4,X6) ),
d8 ).
cnf(c_0_16,hypothesis,
equidistant(v1,u1,v,u),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_17,axiom,
( equidistant(X2,X1,X3,X4)
| ~ equidistant(X1,X2,X3,X4) ),
d3 ).
cnf(c_0_18,hypothesis,
( equidistant(X1,u1,X2,u)
| ~ between(X2,v,u)
| ~ between(X1,v1,u1)
| ~ equidistant(X1,v1,X2,v) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_19,hypothesis,
equidistant(v,w,v1,w1),
v_to_w_equals_v1_to_w1 ).
cnf(c_0_20,axiom,
( between(X3,X2,X1)
| ~ between(X1,X2,X3) ),
t1 ).
cnf(c_0_21,hypothesis,
between(u,v,w),
v_between_u_and_w ).
cnf(c_0_22,hypothesis,
between(u1,v1,w1),
v1_between_u1_and_w1 ).
cnf(c_0_23,hypothesis,
( equidistant(u1,X1,X2,u)
| ~ between(X2,v,u)
| ~ between(X1,v1,u1)
| ~ equidistant(X1,v1,X2,v) ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_24,hypothesis,
equidistant(w1,v1,w,v),
inference(spm,[status(thm)],[c_0_13,c_0_19]) ).
cnf(c_0_25,hypothesis,
between(w,v,u),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_26,hypothesis,
between(w1,v1,u1),
inference(spm,[status(thm)],[c_0_20,c_0_22]) ).
cnf(c_0_27,axiom,
( equidistant(X2,X7,X4,X8)
| ~ equidistant(X1,X2,X3,X4)
| ~ equidistant(X1,X5,X3,X6)
| ~ equidistant(X1,X7,X3,X8)
| ~ equidistant(X5,X7,X6,X8)
| ~ between(X1,X2,X5)
| ~ between(X3,X4,X6) ),
d12 ).
cnf(c_0_28,hypothesis,
equidistant(w,x,w1,x1),
w_to_x_equals_w1_to_x1 ).
cnf(c_0_29,axiom,
( equidistant(X4,X3,X1,X2)
| ~ equidistant(X1,X2,X3,X4) ),
d4_4 ).
cnf(c_0_30,hypothesis,
equidistant(u1,w1,w,u),
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_31,hypothesis,
( equidistant(X1,x,X2,x1)
| ~ between(X3,X2,w1)
| ~ between(X4,X1,w)
| ~ equidistant(X4,x,X3,x1)
| ~ equidistant(X4,w,X3,w1)
| ~ equidistant(X4,X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_32,hypothesis,
equidistant(u,x,u1,x1),
u_to_x_equals_u1_to_x1 ).
cnf(c_0_33,hypothesis,
equidistant(u,w,u1,w1),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
cnf(c_0_34,hypothesis,
( equidistant(X1,x,X2,x1)
| ~ between(u1,X2,w1)
| ~ between(u,X1,w)
| ~ equidistant(u,X1,u1,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_33])]) ).
cnf(c_0_35,negated_conjecture,
~ equidistant(v,x,v1,x1),
prove_v_to_x_equals_v1_to_x1 ).
cnf(c_0_36,hypothesis,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_14]),c_0_22]),c_0_21])]),c_0_35]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO033-3 : TPTP v9.2.1. Bugfixed v1.2.1.
% 0.00/0.12 % Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.15/0.33 % Computer : n001.cluster.edu
% 0.15/0.33 % Model : x86_64 x86_64
% 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33 % Memory : 8042.1875MB
% 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33 % CPULimit : 300
% 0.15/0.33 % WCLimit : 300
% 0.15/0.33 % DateTime : Mon May 4 17:38:03 EDT 2026
% 0.15/0.34 % CPUTime :
% 0.15/0.35 % start to proof: theBenchmark
% 106.35/63.75 % Version : CSE_E---1.7
% 106.35/63.75 % Problem : theBenchmark.p
% 106.35/63.75 % SZS status Unsatisfiable for theBenchmark.p
% 106.35/63.75 % SZS output start CNFRefutation
% See solution above
% 106.66/64.12 % Total time : 49.420s
%------------------------------------------------------------------------------