%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : HWV028-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 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 01:38:15 PM UTC 2026
% Result : Unsatisfiable 8.34s 1.69s
% Output : Proof 8.34s
% Verified :
% Comments :
%------------------------------------------------------------------------------
cnf(t110,axiom,
sF0 = p_Reset(t_139),
introduced(definition) ).
cnf(f90,negated_conjecture,
p_Reset(t_139),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_1) ).
fof(f90_nnf,plain,
p_Reset(t_139),
inference(nnf_transformation,[status(thm)],[f90]) ).
cnf(c90,plain,
p_Reset(t_139),
inference(cnf_transformation,[status(esa)],[f90_nnf]) ).
cnf(t2,plain,
p_Reset(t_139) = true,
inference(equality_encoding,[status(esa)],[c90]) ).
cnf(t117,plain,
p_Reset(t_139) = true,
inference(orient,[status(thm)],[t2]) ).
cnf(t750,plain,
sF0 = true,
inference(step,[status(thm)],[t110,t117]) ).
cnf(t118,plain,
true = sF0,
inference(orient,[status(thm)],[t750]) ).
cnf(f12,axiom,
( ~ gt(Y_20,X_19)
| gt(Z_21,X_19)
| ~ gt(Z_21,Y_20) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_13) ).
fof(f12_nnf,plain,
! [Z_21,Y_20,X_19] :
( ~ gt(Y_20,X_19)
| gt(Z_21,X_19)
| ~ gt(Z_21,Y_20) ),
inference(nnf_transformation,[status(thm)],[f12]) ).
fof(f12_sk,plain,
! [Z_21,Y_20,X_19] :
( ~ gt(Y_20,X_19)
| gt(Z_21,X_19)
| ~ gt(Z_21,Y_20) ),
inference(skolemisation,[status(esa)],[f12_nnf]) ).
cnf(c12,plain,
( ~ gt(X1,X2)
| gt(X0,X2)
| ~ gt(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f12_sk]) ).
cnf(t46,plain,
ifeq(gt(X1,X2),true,ifeq(gt(X2,X3),true,gt(X1,X3),true),true) = true,
inference(equality_encoding,[status(esa)],[c12]) ).
cnf(t977,plain,
ifeq(gt(X1,X2),sF0,ifeq(gt(X2,X3),true,gt(X1,X3),true),true) = true,
inference(step,[status(thm)],[t46,t118]) ).
cnf(t978,plain,
ifeq(gt(X1,X2),sF0,ifeq(gt(X2,X3),sF0,gt(X1,X3),true),true) = true,
inference(step,[status(thm)],[t977,t118]) ).
cnf(t979,plain,
ifeq(gt(X1,X2),sF0,ifeq(gt(X2,X3),sF0,gt(X1,X3),sF0),true) = true,
inference(step,[status(thm)],[t978,t118]) ).
cnf(t980,plain,
ifeq(gt(X1,X2),sF0,ifeq(gt(X2,X3),sF0,gt(X1,X3),sF0),sF0) = true,
inference(step,[status(thm)],[t979,t118]) ).
cnf(t981,plain,
ifeq(gt(X1,X2),sF0,ifeq(gt(X2,X3),sF0,gt(X1,X3),sF0),sF0) = sF0,
inference(step,[status(thm)],[t980,t118]) ).
cnf(t590,plain,
ifeq(gt(X1,X2),sF0,ifeq(gt(X2,X3),sF0,gt(X1,X3),sF0),sF0) = sF0,
inference(orient,[status(thm)],[t981]) ).
cnf(f91,negated_conjecture,
gt(level(plus(t_139,n1)),fifo_length),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_2) ).
fof(f91_nnf,plain,
gt(level(plus(t_139,n1)),fifo_length),
inference(nnf_transformation,[status(thm)],[f91]) ).
cnf(c91,plain,
gt(level(plus(t_139,n1)),fifo_length),
inference(cnf_transformation,[status(esa)],[f91_nnf]) ).
cnf(u0,axiom,
gt(level(plus(t_139,n1)),fifo_length) = true,
inference(equality_encoding,[status(esa)],[c91]) ).
cnf(f20,axiom,
level(X_t_32) = int_level(X_t_32),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_21) ).
fof(f20_nnf,plain,
! [X_t_32] : level(X_t_32) = int_level(X_t_32),
inference(nnf_transformation,[status(thm)],[f20]) ).
fof(f20_sk,plain,
! [X_t_32] : level(X_t_32) = int_level(X_t_32),
inference(skolemisation,[status(esa)],[f20_nnf]) ).
cnf(c20,plain,
level(X0) = int_level(X0),
inference(cnf_transformation,[status(esa)],[f20_sk]) ).
cnf(d0,axiom,
level(X0) = int_level(X0),
inference(equality_encoding,[status(esa)],[c20]) ).
cnf(t15,plain,
gt(int_level(plus(t_139,n1)),fifo_length) = true,
inference(definition_unfolding,[status(thm)],[u0,d0]) ).
cnf(t112,axiom,
sF2 = plus(t_139,n1),
introduced(definition) ).
cnf(t134,plain,
plus(t_139,n1) = sF2,
inference(orient,[status(thm)],[t112]) ).
cnf(t765,plain,
gt(int_level(sF2),fifo_length) = true,
inference(step,[status(thm)],[t15,t134]) ).
cnf(t113,axiom,
sF3 = int_level(plus(t_139,n1)),
introduced(definition) ).
cnf(t763,plain,
sF3 = int_level(sF2),
inference(step,[status(thm)],[t113,t134]) ).
cnf(t135,plain,
int_level(sF2) = sF3,
inference(orient,[status(thm)],[t763]) ).
cnf(t766,plain,
gt(sF3,fifo_length) = true,
inference(step,[status(thm)],[t765,t135]) ).
cnf(t767,plain,
gt(sF3,fifo_length) = sF0,
inference(step,[status(thm)],[t766,t118]) ).
cnf(t147,plain,
gt(sF3,fifo_length) = sF0,
inference(orient,[status(thm)],[t767]) ).
cnf(t594,plain,
sF0 = ifeq(sF0,sF0,ifeq(gt(fifo_length,X1),sF0,gt(sF3,X1),sF0),sF0),
inference(cp,[status(thm)],[t590,t147]) ).
cnf(t14,plain,
ifeq(X1,X1,X2,X3) = X2,
introduced(definition) ).
cnf(t144,plain,
ifeq(X1,X1,X2,X3) = X2,
inference(orient,[status(thm)],[t14]) ).
cnf(t982,plain,
sF0 = ifeq(gt(fifo_length,X1),sF0,gt(sF3,X1),sF0),
inference(step,[status(thm)],[t594,t144]) ).
cnf(t657,plain,
ifeq(gt(fifo_length,X1),sF0,gt(sF3,X1),sF0) = sF0,
inference(orient,[status(thm)],[t982]) ).
cnf(f16,axiom,
~ gt(X_28,X_28),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_17) ).
fof(f16_nnf,plain,
! [X_28] : ~ gt(X_28,X_28),
inference(nnf_transformation,[status(thm)],[f16]) ).
fof(f16_sk,plain,
! [X_28] : ~ gt(X_28,X_28),
inference(skolemisation,[status(esa)],[f16_nnf]) ).
cnf(c16,plain,
~ gt(X0,X0),
inference(cnf_transformation,[status(esa)],[f16_sk]) ).
cnf(t4,plain,
gt(X1,X1) = false,
inference(equality_encoding,[status(esa)],[c16]) ).
cnf(t126,plain,
gt(X1,X1) = false,
inference(orient,[status(thm)],[t4]) ).
cnf(t658,plain,
sF0 = ifeq(gt(fifo_length,sF3),sF0,false,sF0),
inference(cp,[status(thm)],[t657,t126]) ).
cnf(f92,negated_conjecture,
gt(fifo_length,n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_3) ).
fof(f92_nnf,plain,
gt(fifo_length,n0),
inference(nnf_transformation,[status(thm)],[f92]) ).
cnf(c92,plain,
gt(fifo_length,n0),
inference(cnf_transformation,[status(esa)],[f92_nnf]) ).
cnf(t5,plain,
gt(fifo_length,n0) = true,
inference(equality_encoding,[status(esa)],[c92]) ).
cnf(t757,plain,
gt(fifo_length,n0) = sF0,
inference(step,[status(thm)],[t5,t118]) ).
cnf(t127,plain,
gt(fifo_length,n0) = sF0,
inference(orient,[status(thm)],[t757]) ).
cnf(f25,axiom,
( int_level(plus(X_t_37,n1)) = n0
| ~ p_Reset(X_t_37) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_26) ).
fof(f25_nnf,plain,
! [X_t_37] :
( int_level(plus(X_t_37,n1)) = n0
| ~ p_Reset(X_t_37) ),
inference(nnf_transformation,[status(thm)],[f25]) ).
fof(f25_sk,plain,
! [X_t_37] :
( int_level(plus(X_t_37,n1)) = n0
| ~ p_Reset(X_t_37) ),
inference(skolemisation,[status(esa)],[f25_nnf]) ).
cnf(c25,plain,
( int_level(plus(X0,n1)) = n0
| ~ p_Reset(X0) ),
inference(cnf_transformation,[status(esa)],[f25_sk]) ).
cnf(t25,plain,
ifeq(p_Reset(X1),true,int_level(plus(X1,n1)),n0) = n0,
inference(equality_encoding,[status(esa)],[c25]) ).
cnf(t786,plain,
ifeq(p_Reset(X1),sF0,int_level(plus(X1,n1)),n0) = n0,
inference(step,[status(thm)],[t25,t118]) ).
cnf(t178,plain,
ifeq(p_Reset(X1),sF0,int_level(plus(X1,n1)),n0) = n0,
inference(orient,[status(thm)],[t786]) ).
cnf(t754,plain,
p_Reset(t_139) = sF0,
inference(step,[status(thm)],[t117,t118]) ).
cnf(t122,plain,
p_Reset(t_139) = sF0,
inference(orient,[status(thm)],[t754]) ).
cnf(t179,plain,
n0 = ifeq(sF0,sF0,int_level(plus(t_139,n1)),n0),
inference(cp,[status(thm)],[t178,t122]) ).
cnf(t787,plain,
n0 = int_level(plus(t_139,n1)),
inference(step,[status(thm)],[t179,t144]) ).
cnf(t788,plain,
n0 = int_level(sF2),
inference(step,[status(thm)],[t787,t134]) ).
cnf(t789,plain,
n0 = sF3,
inference(step,[status(thm)],[t788,t135]) ).
cnf(t181,plain,
n0 = sF3,
inference(orient,[status(thm)],[t789]) ).
cnf(t790,plain,
gt(fifo_length,sF3) = sF0,
inference(step,[status(thm)],[t127,t181]) ).
cnf(t182,plain,
gt(fifo_length,sF3) = sF0,
inference(rw,[status(thm)],[t790]) ).
cnf(t202,plain,
gt(fifo_length,sF3) = sF0,
inference(orient,[status(thm)],[t182]) ).
cnf(t983,plain,
sF0 = ifeq(sF0,sF0,false,sF0),
inference(step,[status(thm)],[t658,t202]) ).
cnf(t984,plain,
sF0 = false,
inference(step,[status(thm)],[t983,t144]) ).
cnf(t660,plain,
false = sF0,
inference(orient,[status(thm)],[t984]) ).
cnf(f0,axiom,
plus(X_0,n1) != n0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1) ).
fof(f0_nnf,plain,
! [X_0] : plus(X_0,n1) != n0,
inference(nnf_transformation,[status(thm)],[f0]) ).
fof(f0_sk,plain,
! [X_0] : plus(X_0,n1) != n0,
inference(skolemisation,[status(esa)],[f0_nnf]) ).
cnf(c0,plain,
plus(X0,n1) != n0,
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(f5,axiom,
( ~ gt(X_3,Y_4)
| ~ def_10(Y_4,X_3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_6) ).
fof(f5_nnf,plain,
! [Y_4,X_3] :
( ~ gt(X_3,Y_4)
| ~ def_10(Y_4,X_3) ),
inference(nnf_transformation,[status(thm)],[f5]) ).
fof(f5_sk,plain,
! [Y_4,X_3] :
( ~ gt(X_3,Y_4)
| ~ def_10(Y_4,X_3) ),
inference(skolemisation,[status(esa)],[f5_nnf]) ).
cnf(c5,plain,
( ~ gt(X1,X0)
| ~ def_10(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(f6,axiom,
( X_3 != Y_4
| ~ def_10(Y_4,X_3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_7) ).
fof(f6_nnf,plain,
! [Y_4,X_3] :
( X_3 != Y_4
| ~ def_10(Y_4,X_3) ),
inference(nnf_transformation,[status(thm)],[f6]) ).
fof(f6_sk,plain,
! [Y_4,X_3] :
( X_3 != Y_4
| ~ def_10(Y_4,X_3) ),
inference(skolemisation,[status(esa)],[f6_nnf]) ).
cnf(c6,plain,
( X1 != X0
| ~ def_10(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f6_sk]) ).
cnf(f28,axiom,
( ~ p_Wr_error(plus(X_t_37,n1))
| ~ p_Reset(X_t_37) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_29) ).
fof(f28_nnf,plain,
! [X_t_37] :
( ~ p_Wr_error(plus(X_t_37,n1))
| ~ p_Reset(X_t_37) ),
inference(nnf_transformation,[status(thm)],[f28]) ).
fof(f28_sk,plain,
! [X_t_37] :
( ~ p_Wr_error(plus(X_t_37,n1))
| ~ p_Reset(X_t_37) ),
inference(skolemisation,[status(esa)],[f28_nnf]) ).
cnf(c28,plain,
( ~ p_Wr_error(plus(X0,n1))
| ~ p_Reset(X0) ),
inference(cnf_transformation,[status(esa)],[f28_sk]) ).
cnf(f29,axiom,
( ~ p_Rd_error(plus(X_t_37,n1))
| ~ p_Reset(X_t_37) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_30) ).
fof(f29_nnf,plain,
! [X_t_37] :
( ~ p_Rd_error(plus(X_t_37,n1))
| ~ p_Reset(X_t_37) ),
inference(nnf_transformation,[status(thm)],[f29]) ).
fof(f29_sk,plain,
! [X_t_37] :
( ~ p_Rd_error(plus(X_t_37,n1))
| ~ p_Reset(X_t_37) ),
inference(skolemisation,[status(esa)],[f29_nnf]) ).
cnf(c29,plain,
( ~ p_Rd_error(plus(X0,n1))
| ~ p_Reset(X0) ),
inference(cnf_transformation,[status(esa)],[f29_sk]) ).
cnf(f30,axiom,
( ~ p_Mem(X_k1_38,X_k2_39,plus(X_t_37,n1))
| ~ p_Reset(X_t_37) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_31) ).
fof(f30_nnf,plain,
! [X_t_37,X_k1_38,X_k2_39] :
( ~ p_Mem(X_k1_38,X_k2_39,plus(X_t_37,n1))
| ~ p_Reset(X_t_37) ),
inference(nnf_transformation,[status(thm)],[f30]) ).
fof(f30_sk,plain,
! [X_t_37,X_k1_38,X_k2_39] :
( ~ p_Mem(X_k1_38,X_k2_39,plus(X_t_37,n1))
| ~ p_Reset(X_t_37) ),
inference(skolemisation,[status(esa)],[f30_nnf]) ).
cnf(c30,plain,
( ~ p_Mem(X1,X2,plus(X0,n1))
| ~ p_Reset(X0) ),
inference(cnf_transformation,[status(esa)],[f30_sk]) ).
cnf(f31,axiom,
( ~ p_Data_out(X_k1_40,plus(X_t_37,n1))
| ~ p_Reset(X_t_37) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_32) ).
fof(f31_nnf,plain,
! [X_t_37,X_k1_40] :
( ~ p_Data_out(X_k1_40,plus(X_t_37,n1))
| ~ p_Reset(X_t_37) ),
inference(nnf_transformation,[status(thm)],[f31]) ).
fof(f31_sk,plain,
! [X_t_37,X_k1_40] :
( ~ p_Data_out(X_k1_40,plus(X_t_37,n1))
| ~ p_Reset(X_t_37) ),
inference(skolemisation,[status(esa)],[f31_nnf]) ).
cnf(c31,plain,
( ~ p_Data_out(X1,plus(X0,n1))
| ~ p_Reset(X0) ),
inference(cnf_transformation,[status(esa)],[f31_sk]) ).
cnf(goal_0,negated_conjecture,
true != false,
inference(equality_encoding,[status(esa)],[c0,c5,c6,c16,c28,c29,c30,c31]) ).
cnf(g0_0,plain,
sF0 != false,
inference(rw,[status(thm)],[goal_0,t118]) ).
cnf(g0_1,plain,
sF0 != sF0,
inference(rw,[status(thm)],[g0_0,t660]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : HWV028-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.11/0.38 % Computer : n001.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Wed Sep 23 16:35:05 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 8.34/1.69 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 8.34/1.69 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------