%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : HWV027-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : 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 : Fri Sep 25 01:38:12 PM UTC 2026
% Result : Unsatisfiable 6.97s 1.28s
% Output : Proof 6.97s
% Verified :
% Comments :
%------------------------------------------------------------------------------
cnf(t118,axiom,
sF3 = ifeq(p_Rd(t_139),true,false,true),
introduced(definition) ).
cnf(f91,negated_conjecture,
~ p_Rd(t_139),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_2) ).
fof(f91_nnf,plain,
~ p_Rd(t_139),
inference(nnf_transformation,[status(thm)],[f91]) ).
fof(f91_sk,plain,
~ p_Rd(t_139),
inference(skolemisation,[status(esa)],[f91_nnf]) ).
cnf(c91,plain,
~ p_Rd(t_139),
inference(cnf_transformation,[status(esa)],[f91_sk]) ).
cnf(t2,plain,
p_Rd(t_139) = false,
inference(equality_encoding,[status(esa)],[c91]) ).
cnf(t128,plain,
p_Rd(t_139) = false,
inference(orient,[status(thm)],[t2]) ).
cnf(t115,axiom,
sF0 = p_Rd(t_139),
introduced(definition) ).
cnf(t1059,plain,
sF0 = false,
inference(step,[status(thm)],[t115,t128]) ).
cnf(t131,plain,
false = sF0,
inference(orient,[status(thm)],[t1059]) ).
cnf(t1063,plain,
p_Rd(t_139) = sF0,
inference(step,[status(thm)],[t128,t131]) ).
cnf(t135,plain,
p_Rd(t_139) = sF0,
inference(orient,[status(thm)],[t1063]) ).
cnf(t1084,plain,
sF3 = ifeq(sF0,true,false,true),
inference(step,[status(thm)],[t118,t135]) ).
cnf(t1085,plain,
sF3 = ifeq(sF0,true,sF0,true),
inference(step,[status(thm)],[t1084,t131]) ).
cnf(t17,plain,
ifeq(p_Rd(t_139),true,false,true) = true,
inference(equality_encoding,[status(esa)],[c91]) ).
cnf(t1078,plain,
ifeq(sF0,true,false,true) = true,
inference(step,[status(thm)],[t17,t135]) ).
cnf(t1079,plain,
ifeq(sF0,true,sF0,true) = true,
inference(step,[status(thm)],[t1078,t131]) ).
cnf(t168,plain,
ifeq(sF0,true,sF0,true) = true,
inference(orient,[status(thm)],[t1079]) ).
cnf(t1086,plain,
sF3 = true,
inference(step,[status(thm)],[t1085,t168]) ).
cnf(t170,plain,
true = sF3,
inference(orient,[status(thm)],[t1086]) ).
cnf(f93,negated_conjecture,
level(t_139) != level(plus(t_139,n1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_4) ).
fof(f93_nnf,plain,
level(t_139) != level(plus(t_139,n1)),
inference(nnf_transformation,[status(thm)],[f93]) ).
fof(f93_sk,plain,
level(t_139) != level(plus(t_139,n1)),
inference(skolemisation,[status(esa)],[f93_nnf]) ).
cnf(c93,plain,
level(t_139) != level(plus(t_139,n1)),
inference(cnf_transformation,[status(esa)],[f93_sk]) ).
cnf(u1,axiom,
eq(level(t_139),level(plus(t_139,n1))) = false,
inference(equality_encoding,[status(esa)],[c93]) ).
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(t20,plain,
eq(int_level(t_139),int_level(plus(t_139,n1))) = false,
inference(definition_unfolding,[status(thm)],[u1,d0]) ).
cnf(t121,axiom,
sF6 = int_level(t_139),
introduced(definition) ).
cnf(t143,plain,
int_level(t_139) = sF6,
inference(orient,[status(thm)],[t121]) ).
cnf(t1080,plain,
eq(sF6,int_level(plus(t_139,n1))) = false,
inference(step,[status(thm)],[t20,t143]) ).
cnf(t122,axiom,
sF7 = plus(t_139,n1),
introduced(definition) ).
cnf(t152,plain,
plus(t_139,n1) = sF7,
inference(orient,[status(thm)],[t122]) ).
cnf(t1081,plain,
eq(sF6,int_level(sF7)) = false,
inference(step,[status(thm)],[t1080,t152]) ).
cnf(t123,axiom,
sF8 = int_level(plus(t_139,n1)),
introduced(definition) ).
cnf(t1074,plain,
sF8 = int_level(sF7),
inference(step,[status(thm)],[t123,t152]) ).
cnf(t153,plain,
int_level(sF7) = sF8,
inference(orient,[status(thm)],[t1074]) ).
cnf(t1082,plain,
eq(sF6,sF8) = false,
inference(step,[status(thm)],[t1081,t153]) ).
cnf(t1083,plain,
eq(sF6,sF8) = sF0,
inference(step,[status(thm)],[t1082,t131]) ).
cnf(t169,plain,
eq(sF6,sF8) = sF0,
inference(orient,[status(thm)],[t1083]) ).
cnf(t846,plain,
eq(sF6,sF6) = sF0,
inference(rw,[status(thm)],[t169]) ).
cnf(t5,plain,
eq(X1,X1) = true,
introduced(definition) ).
cnf(t145,plain,
eq(X1,X1) = true,
inference(orient,[status(thm)],[t5]) ).
cnf(t1090,plain,
eq(X1,X1) = sF3,
inference(step,[status(thm)],[t145,t170]) ).
cnf(t174,plain,
eq(X1,X1) = sF3,
inference(orient,[status(thm)],[t1090]) ).
cnf(t1361,plain,
sF3 = sF0,
inference(step,[status(thm)],[t846,t174]) ).
cnf(t857,plain,
sF3 = sF0,
inference(orient,[status(thm)],[t1361]) ).
cnf(t1372,plain,
true = sF0,
inference(step,[status(thm)],[t170,t857]) ).
cnf(t868,plain,
true = sF0,
inference(orient,[status(thm)],[t1372]) ).
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(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(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(f90,negated_conjecture,
~ p_Wr(t_139),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_1) ).
fof(f90_nnf,plain,
~ p_Wr(t_139),
inference(nnf_transformation,[status(thm)],[f90]) ).
fof(f90_sk,plain,
~ p_Wr(t_139),
inference(skolemisation,[status(esa)],[f90_nnf]) ).
cnf(c90,plain,
~ p_Wr(t_139),
inference(cnf_transformation,[status(esa)],[f90_sk]) ).
cnf(f92,negated_conjecture,
~ p_Reset(t_139),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_3) ).
fof(f92_nnf,plain,
~ p_Reset(t_139),
inference(nnf_transformation,[status(thm)],[f92]) ).
fof(f92_sk,plain,
~ p_Reset(t_139),
inference(skolemisation,[status(esa)],[f92_nnf]) ).
cnf(c92,plain,
~ p_Reset(t_139),
inference(cnf_transformation,[status(esa)],[f92_sk]) ).
cnf(goal_0,negated_conjecture,
true != false,
inference(equality_encoding,[status(esa)],[c0,c5,c6,c16,c28,c29,c30,c31,c90,c91,c92,c93]) ).
cnf(g0_0,plain,
sF0 != false,
inference(rw,[status(thm)],[goal_0,t868]) ).
cnf(g0_1,plain,
sF0 != sF0,
inference(rw,[status(thm)],[g0_0,t131]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : HWV027-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.10/0.37 % Computer : n004.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 : Wed Sep 23 16:28:50 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 6.97/1.28 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.97/1.28 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------