%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : GRP702-10 : TPTP v9.3.1. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n026.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 08:42:17 AM UTC 2026
% Result : Unsatisfiable 23.46s 23.71s
% Output : Proof 24.83s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(f01,axiom,
mult(A,ld(A,B)) = B,
file('theBenchmark.p',f01) ).
cnf(f02,axiom,
ld(A,mult(A,B)) = B,
file('theBenchmark.p',f02) ).
cnf(f03,axiom,
mult(rd(A,B),B) = A,
file('theBenchmark.p',f03) ).
cnf(f04,axiom,
rd(mult(A,B),B) = A,
file('theBenchmark.p',f04) ).
cnf(f05,axiom,
mult(A,unit) = A,
file('theBenchmark.p',f05) ).
cnf(f06,axiom,
mult(unit,A) = A,
file('theBenchmark.p',f06) ).
cnf(f07,axiom,
mult(A,mult(B,mult(B,C))) = mult(mult(mult(A,B),B),C),
file('theBenchmark.p',f07) ).
cnf(f08,axiom,
mult(op_c,mult(A,B)) = mult(mult(op_c,A),B),
file('theBenchmark.p',f08) ).
cnf(f09,axiom,
mult(A,mult(B,op_c)) = mult(mult(A,B),op_c),
file('theBenchmark.p',f09) ).
cnf(f10,axiom,
mult(A,mult(op_c,B)) = mult(mult(A,op_c),B),
file('theBenchmark.p',f10) ).
cnf(f11,axiom,
op_d = ld(A,mult(op_c,A)),
file('theBenchmark.p',f11) ).
cnf(f12,axiom,
op_e = mult(mult(rd(op_c,mult(A,B)),B),A),
file('theBenchmark.p',f12) ).
cnf(f13,axiom,
op_f = mult(A,mult(B,ld(mult(A,B),op_c))),
file('theBenchmark.p',f13) ).
cnf(goal,negated_conjecture,
mult(op_d,mult(x0,x1)) != mult(mult(op_d,x0),x1),
file('theBenchmark.p',goal) ).
cnf(equality_1,axiom,
Eq_x_0 = Eq_x_0,
theory(equality,[reflexivity]) ).
cnf(equality_2,axiom,
( Eq_x_1 = Eq_x_0
| Eq_x_0 != Eq_x_1 ),
theory(equality,[symmetry]) ).
cnf(equality_3,axiom,
( Eq_x_0 = Eq_x_2
| Eq_x_1 != Eq_x_2
| Eq_x_0 != Eq_x_1 ),
theory(equality,[transitivity]) ).
cnf(equality_4,axiom,
( ld(Eq_x_0,Eq_x_1) = ld(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_5,axiom,
( mult(Eq_x_0,Eq_x_1) = mult(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_6,axiom,
( rd(Eq_x_0,Eq_x_1) = rd(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(sat_proved,plain,
$false,
inference(cadical,[status(thm)],[]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP702-10 : TPTP v9.3.1. Released v8.1.0.
% 0.00/0.03 This is a CNF_UNS_RFO_PEQ_UEQ problem
% 0.00/0.04 % Command : /export/starexec/sandbox2/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n026.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sat Sep 19 10:23:35 UTC 2026
% 0.10/0.37 % CPUTime :
% 23.46/23.71 % SZS status Unsatisfiable for theBenchmark
% 23.46/23.71 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------