%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN088-1.010 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n004.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 : Thu Sep 24 03:15:12 PM UTC 2026
% Result : Unsatisfiable 0.10s 5.58s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 12
% Syntax : Number of formulae : 36 ( 24 unt; 0 def)
% Number of atoms : 111 ( 0 equ)
% Maximal formula atoms : 11 ( 3 avg)
% Number of connectives : 162 ( 87 ~; 75 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 12 ( 11 usr; 1 prp; 0-10 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 30 ( 30 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
~ p(a,a,a,a,a,a,a,a,a,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X_1,X_2,X_3,X_4,X_5,X_6,X_7,X_8,X_9,X_10] :
( ~ q_10(X_10)
| ~ q_9(X_9)
| ~ q_8(X_8)
| ~ q_7(X_7)
| ~ q_6(X_6)
| ~ q_5(X_5)
| ~ q_4(X_4)
| ~ q_3(X_3)
| ~ q_2(X_2)
| ~ q_1(X_1)
| p(X_1,X_2,X_3,X_4,X_5,X_6,X_7,X_8,X_9,X_10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
q_1(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
q_2(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,axiom,
q_3(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,axiom,
q_4(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,axiom,
q_5(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,axiom,
q_6(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,axiom,
q_7(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f17,axiom,
q_8(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f19,axiom,
q_9(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f21,axiom,
q_10(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f23,plain,
~ p(a,a,a,a,a,a,a,a,a,a),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f24,plain,
! [X_10] :
( ~ q_10(X_10)
| ! [X_9] :
( ~ q_9(X_9)
| ! [X_8] :
( ~ q_8(X_8)
| ! [X_7] :
( ~ q_7(X_7)
| ! [X_6] :
( ~ q_6(X_6)
| ! [X_5] :
( ~ q_5(X_5)
| ! [X_4] :
( ~ q_4(X_4)
| ! [X_3] :
( ~ q_3(X_3)
| ! [X_2] :
( ~ q_2(X_2)
| ! [X_1] :
( ~ q_1(X_1)
| p(X_1,X_2,X_3,X_4,X_5,X_6,X_7,X_8,X_9,X_10) ) ) ) ) ) ) ) ) ) ),
inference(miniscoping,[status(thm)],[f2]) ).
fof(f25,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( ~ q_10(X9)
| ~ q_9(X8)
| ~ q_8(X7)
| ~ q_7(X6)
| ~ q_6(X5)
| ~ q_5(X4)
| ~ q_4(X3)
| ~ q_3(X2)
| ~ q_2(X1)
| ~ q_1(X0)
| p(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9) ),
inference(cnf_transformation,[status(thm)],[f24]) ).
fof(f26,plain,
q_1(a),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f28,plain,
q_2(a),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f30,plain,
q_3(a),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f32,plain,
q_4(a),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f34,plain,
q_5(a),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f36,plain,
q_6(a),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f38,plain,
q_7(a),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f40,plain,
q_8(a),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f42,plain,
q_9(a),
inference(cnf_transformation,[status(thm)],[f19]) ).
fof(f44,plain,
q_10(a),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f46,plain,
( ~ q_10(a)
| ~ q_9(a)
| ~ q_8(a)
| ~ q_7(a)
| ~ q_6(a)
| ~ q_5(a)
| ~ q_4(a)
| ~ q_3(a)
| ~ q_2(a)
| ~ q_1(a) ),
inference(resolution,[status(thm)],[f25,f23]) ).
fof(f47,plain,
( ~ q_10(a)
| ~ q_9(a)
| ~ q_8(a)
| ~ q_7(a)
| ~ q_6(a)
| ~ q_5(a)
| ~ q_4(a)
| ~ q_3(a)
| ~ q_2(a) ),
inference(backward_subsumption_resolution,[status(thm)],[f46,f26]) ).
fof(f48,plain,
( ~ q_10(a)
| ~ q_9(a)
| ~ q_8(a)
| ~ q_7(a)
| ~ q_6(a)
| ~ q_5(a)
| ~ q_4(a)
| ~ q_3(a) ),
inference(backward_subsumption_resolution,[status(thm)],[f47,f28]) ).
fof(f49,plain,
( ~ q_10(a)
| ~ q_9(a)
| ~ q_8(a)
| ~ q_7(a)
| ~ q_6(a)
| ~ q_5(a)
| ~ q_4(a) ),
inference(backward_subsumption_resolution,[status(thm)],[f48,f30]) ).
fof(f50,plain,
( ~ q_10(a)
| ~ q_9(a)
| ~ q_8(a)
| ~ q_7(a)
| ~ q_6(a)
| ~ q_5(a) ),
inference(backward_subsumption_resolution,[status(thm)],[f49,f32]) ).
fof(f51,plain,
( ~ q_10(a)
| ~ q_9(a)
| ~ q_8(a)
| ~ q_7(a)
| ~ q_6(a) ),
inference(backward_subsumption_resolution,[status(thm)],[f50,f34]) ).
fof(f52,plain,
( ~ q_10(a)
| ~ q_9(a)
| ~ q_8(a)
| ~ q_7(a) ),
inference(backward_subsumption_resolution,[status(thm)],[f51,f36]) ).
fof(f53,plain,
( ~ q_10(a)
| ~ q_9(a)
| ~ q_8(a) ),
inference(forward_subsumption_resolution,[status(thm)],[f52,f38]) ).
fof(f54,plain,
( ~ q_10(a)
| ~ q_8(a) ),
inference(resolution,[status(thm)],[f53,f42]) ).
fof(f56,plain,
~ q_10(a),
inference(forward_subsumption_resolution,[status(thm)],[f54,f40]) ).
fof(f58,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f56,f44]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN088-1.010 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/5.55 % Computer : n004.cluster.edu
% 0.10/5.55 % Model : x86_64 x86_64
% 0.10/5.55 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.55 % Memory : 8046.5625MB
% 0.10/5.55 % OS : Linux 6.8.0-71-generic
% 0.10/5.55 % CPULimit : 300
% 0.10/5.55 % WCLimit : 300
% 0.10/5.55 % DateTime : Mon Sep 21 10:42:58 UTC 2026
% 0.10/5.56 % CPUTime :
% 0.10/5.56 % Drodi V4.1.1
% 0.10/5.58 % Refutation found
% 0.10/5.58 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/5.58 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/5.62 % Elapsed time: 0.047738 seconds
% 0.14/5.62 % CPU time: 0.141281 seconds
% 0.14/5.62 % Total memory used: 55.827 MB
% 0.14/5.62 % Net memory used: 55.528 MB
%------------------------------------------------------------------------------