%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : BOO008-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n001.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 : Fri Sep 25 01:00:10 PM UTC 2026
% Result : Unsatisfiable 29.13s 6.86s
% Output : CNFRefutation 29.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 14
% Syntax : Number of formulae : 120 ( 102 unt; 0 def)
% Number of atoms : 404 ( 111 equ)
% Maximal formula atoms : 5 ( 3 avg)
% Number of connectives : 110 ( 56 ~; 54 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 8 con; 0-1 aty)
% Number of variables : 176 ( 0 sgn 176 !; 0 ?; 139 :)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X2,X0,X1] :
( sum(X1,X0,X2)
| ~ sum(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/BOO002-0.ax',commutativity_of_addition) ).
fof(f4,axiom,
! [X2,X0,X1] :
( product(X1,X0,X2)
| ~ product(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/BOO002-0.ax',commutativity_of_multiplication) ).
fof(f5,axiom,
! [X0] : sum(additive_identity,X0,X0),
file('/export/starexec/sandbox/benchmark/Axioms/BOO002-0.ax',additive_identity1) ).
fof(f6,axiom,
! [X0] : sum(X0,additive_identity,X0),
file('/export/starexec/sandbox/benchmark/Axioms/BOO002-0.ax',additive_identity2) ).
fof(f10,axiom,
! [X2,X3,X0,X1,X6,X4,X5] :
( product(X0,X5,X6)
| ~ sum(X2,X4,X6)
| ~ sum(X1,X3,X5)
| ~ product(X0,X3,X4)
| ~ product(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/BOO002-0.ax',distributivity2) ).
fof(f12,axiom,
! [X2,X3,X0,X1,X6,X4,X5] :
( product(X5,X1,X6)
| ~ sum(X2,X4,X6)
| ~ sum(X0,X3,X5)
| ~ product(X3,X1,X4)
| ~ product(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/BOO002-0.ax',distributivity4) ).
fof(f14,axiom,
! [X2,X3,X0,X1,X6,X4,X5] :
( sum(X0,X5,X6)
| ~ product(X2,X4,X6)
| ~ product(X1,X3,X5)
| ~ sum(X0,X3,X4)
| ~ sum(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/BOO002-0.ax',distributivity6) ).
fof(f16,axiom,
! [X2,X3,X0,X1,X6,X4,X5] :
( sum(X5,X1,X6)
| ~ product(X2,X4,X6)
| ~ product(X0,X3,X5)
| ~ sum(X3,X1,X4)
| ~ sum(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/BOO002-0.ax',distributivity8) ).
fof(f20,axiom,
! [X0] : product(X0,inverse(X0),additive_identity),
file('/export/starexec/sandbox/benchmark/Axioms/BOO002-0.ax',multiplicative_inverse2) ).
fof(f23,axiom,
sum(y,z,y_plus_z),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',y_plus_z) ).
fof(f24,axiom,
sum(x,y_plus_z,x__plus_y_plus_z),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',x_plus__y_plus_z) ).
fof(f25,axiom,
sum(x,y,x_plus_y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',x_plus_y) ).
fof(f26,axiom,
sum(x_plus_y,z,x_plus_y__plus_z),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',x_plus_y__plus_z) ).
fof(f27,negated_conjecture,
x__plus_y_plus_z != x_plus_y__plus_z,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_equality) ).
tcf(c_78,plain,
! [X0: $i,X1: $i,X2: $i] :
( sum(X1,X0,X2)
| ~ sum(X0,X1,X2) ),
inference(cnf_transformation,[],[f3]) ).
tcf(c_79,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(X1,X0,X2)
| ~ product(X0,X1,X2) ),
inference(cnf_transformation,[],[f4]) ).
tcf(c_80,plain,
! [X0: $i] : sum(additive_identity,X0,X0),
inference(cnf_transformation,[],[f5]) ).
tcf(c_81,plain,
! [X0: $i] : sum(X0,additive_identity,X0),
inference(cnf_transformation,[],[f6]) ).
tcf(c_85,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( product(X6,X2,X5)
| ~ product(X6,X1,X4)
| ~ product(X6,X0,X3)
| ~ sum(X3,X4,X5)
| ~ sum(X0,X1,X2) ),
inference(cnf_transformation,[],[f10]) ).
tcf(c_87,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( product(X2,X6,X5)
| ~ product(X1,X6,X4)
| ~ product(X0,X6,X3)
| ~ sum(X3,X4,X5)
| ~ sum(X0,X1,X2) ),
inference(cnf_transformation,[],[f12]) ).
tcf(c_89,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( sum(X0,X5,X6)
| ~ product(X2,X4,X6)
| ~ product(X1,X3,X5)
| ~ sum(X0,X3,X4)
| ~ sum(X0,X1,X2) ),
inference(cnf_transformation,[],[f14]) ).
tcf(c_91,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( sum(X5,X1,X6)
| ~ product(X2,X4,X6)
| ~ product(X0,X3,X5)
| ~ sum(X3,X1,X4)
| ~ sum(X0,X1,X2) ),
inference(cnf_transformation,[],[f16]) ).
tcf(c_95,plain,
! [X0: $i] : product(X0,inverse(X0),additive_identity),
inference(cnf_transformation,[],[f20]) ).
tcf(c_98,plain,
sum(y,z,y_plus_z),
inference(cnf_transformation,[],[f23]) ).
tcf(c_99,plain,
sum(x,y_plus_z,x__plus_y_plus_z),
inference(cnf_transformation,[],[f24]) ).
tcf(c_100,plain,
sum(x,y,x_plus_y),
inference(cnf_transformation,[],[f25]) ).
tcf(c_101,plain,
sum(x_plus_y,z,x_plus_y__plus_z),
inference(cnf_transformation,[],[f26]) ).
tcf(c_102,negated_conjecture,
x__plus_y_plus_z != x_plus_y__plus_z,
inference(cnf_transformation,[],[f27]) ).
tcf(c_114,plain,
add(y,z) = y_plus_z,
inference(well_definedness,[status(thm)],[c_98]) ).
tcf(c_115,plain,
add(x,y_plus_z) = x__plus_y_plus_z,
inference(well_definedness,[status(thm)],[c_99]) ).
tcf(c_116,plain,
add(x,y) = x_plus_y,
inference(well_definedness,[status(thm)],[c_100]) ).
tcf(c_117,plain,
add(x_plus_y,z) = x_plus_y__plus_z,
inference(well_definedness,[status(thm)],[c_101]) ).
tcf(c_120,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( add(X1,X0) = X2 )
| ( add(X0,X1) != X2 ) ),
inference(well_definedness,[status(thm)],[c_78]) ).
tcf(c_122,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( multiply(X1,X0) = X2 )
| ( multiply(X0,X1) != X2 ) ),
inference(well_definedness,[status(thm)],[c_79]) ).
tcf(c_124,plain,
! [X0: $i] : add(additive_identity,X0) = X0,
inference(well_definedness,[status(thm)],[c_80]) ).
tcf(c_125,plain,
! [X0: $i] : add(X0,additive_identity) = X0,
inference(well_definedness,[status(thm)],[c_81]) ).
tcf(c_130,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ( multiply(X6,X2) = X5 )
| ( multiply(X6,X1) != X4 )
| ( multiply(X6,X0) != X3 )
| ( add(X3,X4) != X5 )
| ( add(X0,X1) != X2 ) ),
inference(well_definedness,[status(thm)],[c_85]) ).
tcf(c_134,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ( multiply(X2,X6) = X5 )
| ( multiply(X1,X6) != X4 )
| ( multiply(X0,X6) != X3 )
| ( add(X3,X4) != X5 )
| ( add(X0,X1) != X2 ) ),
inference(well_definedness,[status(thm)],[c_87]) ).
tcf(c_138,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ( add(X0,X5) = X6 )
| ( multiply(X2,X4) != X6 )
| ( multiply(X1,X3) != X5 )
| ( add(X0,X3) != X4 )
| ( add(X0,X1) != X2 ) ),
inference(well_definedness,[status(thm)],[c_89]) ).
tcf(c_142,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ( add(X5,X1) = X6 )
| ( multiply(X2,X4) != X6 )
| ( multiply(X0,X3) != X5 )
| ( add(X3,X1) != X4 )
| ( add(X0,X1) != X2 ) ),
inference(well_definedness,[status(thm)],[c_91]) ).
tcf(c_147,plain,
! [X0: $i] : multiply(X0,inverse(X0)) = additive_identity,
inference(well_definedness,[status(thm)],[c_95]) ).
tcf(c_293,plain,
! [X0: $i,X1: $i] : multiply(X0,X1) = multiply(X1,X0),
inference(unflattening,[status(thm)],[c_122]) ).
tcf(c_295,plain,
! [X0: $i,X1: $i] : add(X0,X1) = add(X1,X0),
inference(unflattening,[status(thm)],[c_120]) ).
tcf(c_296,plain,
add(y,x) = x_plus_y,
inference(demodulation,[status(thm)],[c_116,c_295]) ).
tcf(c_297,plain,
add(y_plus_z,x) = x__plus_y_plus_z,
inference(demodulation,[status(thm)],[c_115,c_295]) ).
tcf(c_298,plain,
add(z,x_plus_y) = x_plus_y__plus_z,
inference(demodulation,[status(thm)],[c_117,c_295]) ).
tcf(c_302,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(add(X0,X1),add(X2,X1)) = add(multiply(X0,X2),X1),
inference(unflattening,[status(thm)],[c_142]) ).
tcf(c_304,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(add(X0,X1),add(X0,X2)) = add(X0,multiply(X1,X2)),
inference(unflattening,[status(thm)],[c_138]) ).
tcf(c_306,plain,
! [X0: $i,X1: $i,X2: $i] : add(multiply(X0,X1),multiply(X2,X1)) = multiply(add(X0,X2),X1),
inference(unflattening,[status(thm)],[c_134]) ).
tcf(c_308,plain,
! [X0: $i,X1: $i,X2: $i] : add(multiply(X0,X1),multiply(X0,X2)) = multiply(X0,add(X1,X2)),
inference(unflattening,[status(thm)],[c_130]) ).
tcf(c_465,plain,
! [X0: $i] : add(multiply(y,X0),z) = multiply(y_plus_z,add(X0,z)),
inference(superposition,[status(thm)],[c_114,c_302]) ).
tcf(c_467,plain,
! [X0: $i,X1: $i] : multiply(X0,add(X1,X0)) = add(multiply(additive_identity,X1),X0),
inference(superposition,[status(thm)],[c_124,c_302]) ).
tcf(c_470,plain,
! [X0: $i] : add(multiply(y,X0),x) = multiply(x_plus_y,add(X0,x)),
inference(superposition,[status(thm)],[c_296,c_302]) ).
tcf(c_472,plain,
! [X0: $i] : add(multiply(z,X0),x_plus_y) = multiply(x_plus_y__plus_z,add(X0,x_plus_y)),
inference(superposition,[status(thm)],[c_298,c_302]) ).
tcf(c_571,plain,
add(multiply(y,additive_identity),z) = multiply(y_plus_z,z),
inference(superposition,[status(thm)],[c_124,c_465]) ).
tcf(c_574,plain,
! [X0: $i] : add(multiply(additive_identity,additive_identity),X0) = multiply(X0,X0),
inference(superposition,[status(thm)],[c_124,c_467]) ).
tcf(c_577,plain,
add(multiply(additive_identity,y),x) = multiply(x,x_plus_y),
inference(superposition,[status(thm)],[c_296,c_467]) ).
tcf(c_659,plain,
add(multiply(y,y_plus_z),x) = multiply(x_plus_y,x__plus_y_plus_z),
inference(superposition,[status(thm)],[c_297,c_470]) ).
tcf(c_682,plain,
! [X0: $i] : add(X0,multiply(additive_identity,additive_identity)) = multiply(X0,X0),
inference(superposition,[status(thm)],[c_295,c_574]) ).
tcf(c_772,plain,
! [X0: $i,X1: $i] : multiply(add(X0,X1),X0) = add(X0,multiply(X1,additive_identity)),
inference(superposition,[status(thm)],[c_125,c_304]) ).
tcf(c_1624,plain,
! [X0: $i,X1: $i] : multiply(X0,add(inverse(X0),X1)) = add(additive_identity,multiply(X0,X1)),
inference(superposition,[status(thm)],[c_147,c_308]) ).
tcf(c_2364,plain,
! [X0: $i,X1: $i] : multiply(X0,add(inverse(X0),X1)) = multiply(X0,X1),
inference(demodulation,[status(thm)],[c_1624,c_124]) ).
tcf(c_2369,plain,
! [X0: $i] : multiply(X0,inverse(X0)) = multiply(X0,additive_identity),
inference(superposition,[status(thm)],[c_125,c_2364]) ).
tcf(c_5351,plain,
! [X0: $i] : multiply(X0,additive_identity) = additive_identity,
inference(demodulation,[status(thm)],[c_2369,c_147]) ).
tcf(c_5374,plain,
multiply(z,y_plus_z) = z,
inference(demodulation,[status(thm)],[c_571,c_125,c_293,c_295,c_5351]) ).
tcf(c_5464,plain,
! [X0: $i] : add(z,multiply(X0,y_plus_z)) = multiply(add(z,X0),y_plus_z),
inference(superposition,[status(thm)],[c_5374,c_306]) ).
tcf(c_6551,plain,
! [X0: $i] : add(z,multiply(X0,y_plus_z)) = multiply(y_plus_z,add(z,X0)),
inference(demodulation,[status(thm)],[c_5464,c_293]) ).
tcf(c_6553,plain,
! [X0: $i] : add(z,multiply(X0,y_plus_z)) = multiply(y_plus_z,add(X0,z)),
inference(superposition,[status(thm)],[c_295,c_6551]) ).
tcf(c_7187,plain,
! [X0: $i] : add(multiply(y,X0),z) = add(z,multiply(X0,y_plus_z)),
inference(light_normalisation,[status(thm)],[c_465,c_6553]) ).
tcf(c_7188,plain,
! [X0: $i] : add(z,multiply(X0,y_plus_z)) = add(z,multiply(y,X0)),
inference(demodulation,[status(thm)],[c_7187,c_295]) ).
tcf(c_7197,plain,
! [X0: $i] : add(z,multiply(X0,y)) = add(z,multiply(X0,y_plus_z)),
inference(superposition,[status(thm)],[c_293,c_7188]) ).
tcf(c_12278,plain,
! [X0: $i,X1: $i] : multiply(X0,add(X0,X1)) = add(X0,multiply(X1,additive_identity)),
inference(demodulation,[status(thm)],[c_772,c_293]) ).
tcf(c_12280,plain,
add(y,multiply(z,additive_identity)) = multiply(y,y_plus_z),
inference(superposition,[status(thm)],[c_114,c_12278]) ).
tcf(c_12284,plain,
add(y,multiply(x,additive_identity)) = multiply(y,x_plus_y),
inference(superposition,[status(thm)],[c_296,c_12278]) ).
tcf(c_12285,plain,
add(y_plus_z,multiply(x,additive_identity)) = multiply(y_plus_z,x__plus_y_plus_z),
inference(superposition,[status(thm)],[c_297,c_12278]) ).
tcf(c_12307,plain,
! [X0: $i] : multiply(X0,additive_identity) = additive_identity,
inference(demodulation,[status(thm)],[c_2369,c_147]) ).
tcf(c_12308,plain,
! [X0: $i,X1: $i] : multiply(X0,add(X0,X1)) = add(X0,additive_identity),
inference(demodulation,[status(thm)],[c_12278,c_12307]) ).
tcf(c_12309,plain,
! [X0: $i] : multiply(additive_identity,X0) = additive_identity,
inference(superposition,[status(thm)],[c_293,c_12307]) ).
tcf(c_12319,plain,
multiply(z,y_plus_z) = z,
inference(demodulation,[status(thm)],[c_571,c_125,c_293,c_295,c_12307]) ).
tcf(c_12392,plain,
! [X0: $i] : add(z,multiply(X0,y_plus_z)) = multiply(add(z,X0),y_plus_z),
inference(superposition,[status(thm)],[c_12319,c_306]) ).
tcf(c_12431,plain,
! [X0: $i] : add(multiply(z,X0),z) = multiply(z,add(X0,y_plus_z)),
inference(superposition,[status(thm)],[c_12319,c_308]) ).
tcf(c_12452,plain,
! [X0: $i] : add(z,multiply(X0,y)) = multiply(add(z,X0),y_plus_z),
inference(light_normalisation,[status(thm)],[c_12392,c_7197]) ).
tcf(c_12453,plain,
! [X0: $i] : add(z,multiply(X0,y)) = multiply(y_plus_z,add(z,X0)),
inference(demodulation,[status(thm)],[c_12452,c_293]) ).
tcf(c_12458,plain,
add(z,multiply(x_plus_y,y)) = multiply(y_plus_z,x_plus_y__plus_z),
inference(superposition,[status(thm)],[c_298,c_12453]) ).
tcf(c_12483,plain,
multiply(x,x_plus_y) = x,
inference(demodulation,[status(thm)],[c_577,c_125,c_295,c_12309]) ).
tcf(c_12486,plain,
! [X0: $i] : add(multiply(x,X0),x) = multiply(x,add(X0,x_plus_y)),
inference(superposition,[status(thm)],[c_12483,c_308]) ).
tcf(c_12504,plain,
add(x,multiply(y,y_plus_z)) = multiply(x__plus_y_plus_z,x_plus_y),
inference(demodulation,[status(thm)],[c_659,c_293,c_295]) ).
tcf(c_12509,plain,
! [X0: $i] : multiply(X0,X0) = X0,
inference(demodulation,[status(thm)],[c_682,c_125,c_12309]) ).
tcf(c_12514,plain,
! [X0: $i,X1: $i] : add(X0,multiply(X0,X1)) = multiply(X0,add(X0,X1)),
inference(superposition,[status(thm)],[c_12509,c_308]) ).
tcf(c_12563,plain,
multiply(y,y_plus_z) = y,
inference(demodulation,[status(thm)],[c_12280,c_125,c_12307]) ).
tcf(c_12564,plain,
add(x,y) = multiply(x__plus_y_plus_z,x_plus_y),
inference(demodulation,[status(thm)],[c_12504,c_12563]) ).
tcf(c_12570,plain,
multiply(x__plus_y_plus_z,x_plus_y) = x_plus_y,
inference(demodulation,[status(thm)],[c_12564,c_295,c_296]) ).
tcf(c_12575,plain,
multiply(y,x_plus_y) = y,
inference(demodulation,[status(thm)],[c_12284,c_125,c_12307]) ).
tcf(c_12580,plain,
multiply(y_plus_z,x__plus_y_plus_z) = y_plus_z,
inference(demodulation,[status(thm)],[c_12285,c_125,c_12307]) ).
tcf(c_12590,plain,
! [X0: $i,X1: $i] : multiply(X0,add(X0,X1)) = X0,
inference(light_normalisation,[status(thm)],[c_12308,c_125,c_12514]) ).
tcf(c_12591,plain,
! [X0: $i,X1: $i] : add(X0,multiply(X0,X1)) = X0,
inference(demodulation,[status(thm)],[c_12514,c_12590]) ).
tcf(c_12620,plain,
! [X0: $i,X1: $i] : add(X0,multiply(X1,X0)) = X0,
inference(superposition,[status(thm)],[c_293,c_12591]) ).
tcf(c_12636,plain,
add(x__plus_y_plus_z,x_plus_y) = x__plus_y_plus_z,
inference(superposition,[status(thm)],[c_12570,c_12591]) ).
tcf(c_12687,plain,
! [X0: $i,X1: $i,X2: $i] : add(add(X0,X1),add(X0,multiply(X2,X1))) = add(X0,X1),
inference(superposition,[status(thm)],[c_304,c_12620]) ).
tcf(c_12703,plain,
add(x__plus_y_plus_z,y_plus_z) = x__plus_y_plus_z,
inference(superposition,[status(thm)],[c_12580,c_12620]) ).
tcf(c_12715,plain,
multiply(y_plus_z,x_plus_y__plus_z) = y_plus_z,
inference(demodulation,[status(thm)],[c_12458,c_114,c_293,c_295,c_12575]) ).
tcf(c_12719,plain,
add(x_plus_y__plus_z,y_plus_z) = x_plus_y__plus_z,
inference(superposition,[status(thm)],[c_12715,c_12620]) ).
tcf(c_13159,plain,
add(y_plus_z,x__plus_y_plus_z) = x__plus_y_plus_z,
inference(demodulation,[status(thm)],[c_12703,c_295]) ).
tcf(c_13182,plain,
add(y_plus_z,x_plus_y__plus_z) = x_plus_y__plus_z,
inference(demodulation,[status(thm)],[c_12719,c_295]) ).
tcf(c_13183,plain,
! [X0: $i] : add(x_plus_y__plus_z,add(y_plus_z,multiply(X0,x_plus_y__plus_z))) = x_plus_y__plus_z,
inference(superposition,[status(thm)],[c_13182,c_12687]) ).
tcf(c_14141,plain,
! [X0: $i] : add(x_plus_y,multiply(z,X0)) = multiply(x_plus_y__plus_z,add(X0,x_plus_y)),
inference(demodulation,[status(thm)],[c_472,c_295]) ).
tcf(c_14150,plain,
add(x_plus_y,multiply(z,x__plus_y_plus_z)) = multiply(x_plus_y__plus_z,x__plus_y_plus_z),
inference(superposition,[status(thm)],[c_12636,c_14141]) ).
tcf(c_14796,plain,
add(x_plus_y,multiply(z,x__plus_y_plus_z)) = multiply(x__plus_y_plus_z,x_plus_y__plus_z),
inference(demodulation,[status(thm)],[c_14150,c_293]) ).
tcf(c_16679,plain,
! [X0: $i] : multiply(z,add(X0,y_plus_z)) = z,
inference(demodulation,[status(thm)],[c_12431,c_295,c_12591]) ).
tcf(c_16680,plain,
! [X0: $i] : multiply(z,add(y_plus_z,X0)) = z,
inference(superposition,[status(thm)],[c_295,c_16679]) ).
tcf(c_17016,plain,
multiply(z,x__plus_y_plus_z) = z,
inference(superposition,[status(thm)],[c_13159,c_16680]) ).
tcf(c_17074,plain,
add(x_plus_y,z) = multiply(x__plus_y_plus_z,x_plus_y__plus_z),
inference(demodulation,[status(thm)],[c_14796,c_17016]) ).
tcf(c_17910,plain,
multiply(x__plus_y_plus_z,x_plus_y__plus_z) = x_plus_y__plus_z,
inference(demodulation,[status(thm)],[c_17074,c_295,c_298]) ).
tcf(c_17913,plain,
add(x__plus_y_plus_z,x_plus_y__plus_z) = x__plus_y_plus_z,
inference(superposition,[status(thm)],[c_17910,c_12591]) ).
tcf(c_19075,plain,
! [X0: $i] : multiply(x,add(X0,x_plus_y)) = x,
inference(demodulation,[status(thm)],[c_12486,c_295,c_12591]) ).
tcf(c_19079,plain,
multiply(x,x_plus_y__plus_z) = x,
inference(superposition,[status(thm)],[c_298,c_19075]) ).
tcf(c_21134,plain,
add(x_plus_y__plus_z,add(y_plus_z,x)) = x_plus_y__plus_z,
inference(superposition,[status(thm)],[c_19079,c_13183]) ).
tcf(c_21541,plain,
add(x_plus_y__plus_z,x__plus_y_plus_z) = x_plus_y__plus_z,
inference(light_normalisation,[status(thm)],[c_21134,c_297]) ).
tcf(c_21542,plain,
x__plus_y_plus_z = x_plus_y__plus_z,
inference(demodulation,[status(thm)],[c_21541,c_295,c_17913]) ).
tcf(c_21543,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_21542,c_102]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : BOO008-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.38 % Computer : n001.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Fri Sep 25 06:34:41 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.42
% 0.10/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.42
% 0.10/0.42 % Detected problem language: tptp
% 0.10/0.44 % Proving...
% 29.13/6.86 % SZS status Started for theBenchmark.p
% 29.13/6.86 % SZS status Unsatisfiable for theBenchmark.p
% 29.13/6.86
% 29.13/6.86 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 29.13/6.86
% 29.13/6.86 % ------ iProver source info
% 29.13/6.86
% 29.13/6.86 % git: date: 2026-07-19 20:42:38 +0200
% 29.13/6.86 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 29.13/6.86 % git: non_committed_changes: false
% 29.13/6.86
% 29.13/6.86 % ------ Parsing...% successful
% 29.13/6.86
% 29.13/6.86
% 29.13/6.86 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 29.13/6.86
% 29.13/6.86 % ------ Preprocessing... sup_sim: 21 sf_s rm: 0 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e %
% 29.13/6.86
% 29.13/6.86 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 29.13/6.86
% 29.13/6.86 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 29.13/6.86 % ------ Proving...
% 29.13/6.86 % ------ Problem Properties
% 29.13/6.86
% 29.13/6.86 %
% 29.13/6.86 % clauses 17
% 29.13/6.86 % conjectures 1
% 29.13/6.86 % EPR 1
% 29.13/6.86 % Horn 17
% 29.13/6.86 % unary 17
% 29.13/6.86 % binary 0
% 29.13/6.86 % lits 17
% 29.13/6.86 % lits eq 17
% 29.13/6.86 % fd_pure 0
% 29.13/6.86 % fd_pseudo 0
% 29.13/6.86 % fd_cond 0
% 29.13/6.86 % fd_pseudo_cond 0
% 29.13/6.86 % AC symbols 0
% 29.13/6.86
% 29.13/6.86 % ------ Input Options Time Limit: Unbounded
% 29.13/6.86
% 29.13/6.86
% 29.13/6.86 % ------
% 29.13/6.86 % Current options:
% 29.13/6.86 % ------
% 29.13/6.86
% 29.13/6.86
% 29.13/6.86 %
% 29.13/6.86
% 29.13/6.86 % ------ Proving...
% 29.13/6.86 %
% 29.13/6.86
% 29.13/6.86 % SZS status Unsatisfiable for theBenchmark.p
% 29.13/6.86
% 29.13/6.86 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 29.13/6.87
% 29.13/6.87
%------------------------------------------------------------------------------