%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : HWV035-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n008.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 : Tue Sep 29 10:20:19 AM UTC 2026
% Result : Satisfiable 6.33s 1.63s
% Output : Saturation 6.33s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(u35,axiom,
( mode(and1(X0),abnormal)
| mode(and1(X0),ok)
| ~ type(X0,halfadder) ) ).
cnf(halfadder_and1,axiom,
( type(and1(X0),and)
| ~ type(X0,halfadder) ) ).
cnf(halfadder_connection_in2_in2and2,axiom,
( connection(in(n2,X0),in(n2,and2(X0)))
| ~ type(X0,halfadder) ) ).
cnf(equal_value2,axiom,
~ equal_value(n1,n0) ).
cnf(halfadder_connection_out1not1_in2and1,axiom,
( connection(out(n1,not1(X0)),in(n2,and1(X0)))
| ~ type(X0,halfadder) ) ).
cnf(halfadder_not1,axiom,
( type(not1(X0),not)
| ~ type(X0,halfadder) ) ).
cnf(or_1_11,axiom,
( ~ value(out(n1,X0),n1)
| ~ type(X0,or)
| ~ mode(X0,ok)
| value(in(n1,X0),n1)
| value(in(n2,X0),n1) ) ).
cnf(and_0_00,axiom,
( ~ value(out(n1,X0),n0)
| ~ type(X0,and)
| ~ mode(X0,ok)
| value(in(n1,X0),n0)
| value(in(n2,X0),n0) ) ).
cnf(equal_value1,axiom,
~ equal_value(n0,n1) ).
cnf(or_0_01,axiom,
( ~ value(out(n1,X0),n0)
| ~ type(X0,or)
| ~ mode(X0,ok)
| value(in(n2,X0),n0) ) ).
cnf(halfadder_connection_in1_in1and2,axiom,
( connection(in(n1,X0),in(n1,and2(X0)))
| ~ type(X0,halfadder) ) ).
cnf(halfadder_connection_in2_in2or1,axiom,
( connection(in(n2,X0),in(n2,or1(X0)))
| ~ type(X0,halfadder) ) ).
cnf(unique_value,axiom,
( ~ value(X0,X2)
| ~ value(X0,X1)
| equal_value(X1,X2) ) ).
cnf(or_00_0,axiom,
( ~ value(in(n2,X0),n0)
| ~ type(X0,or)
| ~ value(in(n1,X0),n0)
| ~ mode(X0,ok)
| value(out(n1,X0),n0) ) ).
cnf(u38,axiom,
( mode(or1(X0),abnormal)
| mode(or1(X0),ok)
| ~ type(X0,halfadder) ) ).
cnf(not_1_0_bw,axiom,
( ~ value(out(n1,X0),n1)
| ~ type(X0,not)
| ~ mode(X0,ok)
| value(in(n1,X0),n0) ) ).
cnf(or_0_0x,axiom,
( ~ value(out(n1,X0),n0)
| ~ type(X0,or)
| ~ mode(X0,ok)
| value(in(n1,X0),n0) ) ).
cnf(ok_or_abnormal,axiom,
( ~ type(X0,X1)
| mode(X0,ok)
| mode(X0,abnormal) ) ).
cnf(halfadder_or1,axiom,
( type(or1(X0),or)
| ~ type(X0,halfadder) ) ).
cnf(halfadder_connection_outc_out1and2,axiom,
( connection(out(c,X0),out(n1,and2(X0)))
| ~ type(X0,halfadder) ) ).
cnf(halfadder_connection_in1_in1or1,axiom,
( connection(in(n1,X0),in(n1,or1(X0)))
| ~ type(X0,halfadder) ) ).
cnf(value_propagation2,axiom,
( ~ value(X1,X2)
| ~ connection(X0,X1)
| value(X0,X2) ) ).
cnf(and_11_1,axiom,
( ~ value(in(n2,X0),n1)
| ~ type(X0,and)
| ~ value(in(n1,X0),n1)
| ~ mode(X0,ok)
| value(out(n1,X0),n1) ) ).
cnf(not_0_1_bw,axiom,
( ~ value(out(n1,X0),n0)
| ~ type(X0,not)
| ~ mode(X0,ok)
| value(in(n1,X0),n1) ) ).
cnf(not_1_0_fw,axiom,
( ~ value(in(n1,X0),n1)
| ~ type(X0,not)
| ~ mode(X0,ok)
| value(out(n1,X0),n0) ) ).
cnf(halfadder_connection_outs_out1and1,axiom,
( connection(out(s,X0),out(n1,and1(X0)))
| ~ type(X0,halfadder) ) ).
cnf(not_ok_and_abnormal,axiom,
( ~ mode(X0,abnormal)
| ~ mode(X0,ok) ) ).
cnf(or_1x_1,axiom,
( ~ value(in(X1,X0),n1)
| ~ type(X0,or)
| ~ mode(X0,ok)
| value(out(n1,X0),n1) ) ).
cnf(u37,axiom,
( mode(not1(X0),abnormal)
| mode(not1(X0),ok)
| ~ type(X0,halfadder) ) ).
cnf(halfadder_connection_out1or1_in1_and1,axiom,
( connection(out(n1,or1(X0)),in(n1,and1(X0)))
| ~ type(X0,halfadder) ) ).
cnf(and_0x_0,axiom,
( ~ value(in(X1,X0),n0)
| ~ type(X0,and)
| ~ mode(X0,ok)
| value(out(n1,X0),n0) ) ).
cnf(halfadder_and2,axiom,
( type(and2(X0),and)
| ~ type(X0,halfadder) ) ).
cnf(halfadder_connection_out1and2_in1not1,axiom,
( connection(out(n1,and2(X0)),in(n1,not1(X0)))
| ~ type(X0,halfadder) ) ).
cnf(not_0_1_fw,axiom,
( ~ value(in(n1,X0),n0)
| ~ type(X0,not)
| ~ mode(X0,ok)
| value(out(n1,X0),n1) ) ).
cnf(value_propagation1,axiom,
( ~ value(X0,X2)
| ~ connection(X0,X1)
| value(X1,X2) ) ).
cnf(u36,axiom,
( mode(and2(X0),abnormal)
| mode(and2(X0),ok)
| ~ type(X0,halfadder) ) ).
cnf(and_1_x1,axiom,
( ~ value(out(n1,X0),n1)
| ~ type(X0,and)
| ~ mode(X0,ok)
| value(in(n2,X0),n1) ) ).
cnf(and_1_1x,axiom,
( ~ value(out(n1,X0),n1)
| ~ type(X0,and)
| ~ mode(X0,ok)
| value(in(n1,X0),n1) ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : HWV035-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.35 % Computer : n008.cluster.edu
% 0.11/0.35 % Model : x86_64 x86_64
% 0.11/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.35 % Memory : 8046.5625MB
% 0.11/0.35 % OS : Linux 6.8.0-71-generic
% 0.11/0.35 % CPULimit : 300
% 0.11/0.35 % WCLimit : 300
% 0.11/0.35 % DateTime : Sun Sep 27 11:00:24 UTC 2026
% 0.11/0.35 % CPUTime :
% 0.11/0.35 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.38 Running first-order theorem proving
% 0.13/0.38 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.33/1.63 % (1053103)Input is clausal, will run a generic CNF schedule.
% 6.33/1.63 % (1053113)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=332427528:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 6.33/1.63 % (1053113)Refutation not found, incomplete strategy
% 6.33/1.63 % (1053113)------------------------------
% 6.33/1.63 % (1053113)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.33/1.63 % (1053113)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.33/1.63 % (1053113)CaDiCaL version: 2.1.3
% 6.33/1.63 % (1053110)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=4222287190:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 6.33/1.63 % (1053113)Termination reason: Refutation not found, incomplete strategy
% 6.33/1.63 % (1053113)Time elapsed: 0.002 s
% 6.33/1.63 % (1053113)Peak memory usage: 87 MB
% 6.33/1.63 % (1053113)Instructions burned: 4 (million)
% 6.33/1.63 % (1053109)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1318127684:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 6.33/1.63 % (1053111)lrs+10_1_sil=8000:sp=occurrence:random_seed=1284450430:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 6.33/1.63 % (1053112)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1198910342:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 6.33/1.63 % (1053108)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=2942842937:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 6.33/1.63 % (1053114)dis-21_1_sil=8000:lcm=predicate:random_seed=4150833079:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 6.33/1.63 % (1053111)Refutation not found, incomplete strategy
% 6.33/1.63 % (1053111)------------------------------
% 6.33/1.63 % (1053111)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.33/1.63 % (1053111)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.33/1.63 % (1053111)CaDiCaL version: 2.1.3
% 6.33/1.63 % (1053111)Termination reason: Refutation not found, incomplete strategy
% 6.33/1.63 % (1053111)Time elapsed: 0.0000 s
% 6.33/1.63 % (1053111)Peak memory usage: 86 MB
% 6.33/1.63 % (1053112)Refutation not found, incomplete strategy
% 6.33/1.63 % (1053112)------------------------------
% 6.33/1.63 % (1053112)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.33/1.63 % (1053112)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.33/1.63 % (1053112)CaDiCaL version: 2.1.3
% 6.33/1.63 % (1053112)Termination reason: Refutation not found, incomplete strategy
% 6.33/1.63 % (1053112)Time elapsed: 0.0000 s
% 6.33/1.63 % (1053112)Peak memory usage: 86 MB
% 6.33/1.63 % (1053114)Refutation not found, incomplete strategy
% 6.33/1.63 % (1053114)------------------------------
% 6.33/1.63 % (1053114)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.33/1.63 % (1053114)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.33/1.63 % (1053114)CaDiCaL version: 2.1.3
% 6.33/1.63 % (1053114)Termination reason: Refutation not found, incomplete strategy
% 6.33/1.63 % (1053114)Time elapsed: 0.001 s
% 6.33/1.63 % (1053114)Peak memory usage: 86 MB
% 6.33/1.63 % (1053113)------------------------------
% 6.33/1.63 % (1053113)------------------------------
% 6.33/1.63 % (1053114)------------------------------
% 6.33/1.63 % (1053114)------------------------------
% 6.33/1.63 % (1053112)------------------------------
% 6.33/1.63 % (1053112)------------------------------
% 6.33/1.63 % (1053111)------------------------------
% 6.33/1.63 % (1053111)------------------------------
% 6.33/1.63 % (1053122)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=8561301:i=143:sd=2:aac=none:ss=axioms:sgt=16_2996 on theBenchmark for (2996ds/143Mi)
% 6.33/1.63 % (1053122)Refutation not found, incomplete strategy
% 6.33/1.63 % (1053122)------------------------------
% 6.33/1.63 % (1053122)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.33/1.63 % (1053122)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.33/1.63 % (1053122)CaDiCaL version: 2.1.3
% 6.33/1.63 % (1053122)Termination reason: Refutation not found, incomplete strategy
% 6.33/1.63 % (1053122)Time elapsed: 0.0000 s
% 6.33/1.63 % (1053122)Peak memory usage: 86 MB
% 6.33/1.63 % (1053123)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2208044380:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2995 on theBenchmark for (2995ds/189Mi)
% 6.33/1.63 % (1053125)lrs+10_64_to=lpo:sil=8000:random_seed=2306236134:i=126:bd=preordered_2995 on theBenchmark for (2995ds/126Mi)
% 6.33/1.63 % (1053124)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=2012481417:st=4:i=219:sd=3:ss=axioms_2995 on theBenchmark for (2995ds/219Mi)
% 6.33/1.63 % (1053124)Refutation not found, incomplete strategy
% 6.33/1.63 % (1053124)------------------------------
% 6.33/1.63 % (1053124)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.33/1.63 % (1053124)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.33/1.63 % (1053124)CaDiCaL version: 2.1.3
% 6.33/1.63 % (1053124)Termination reason: Refutation not found, incomplete strategy
% 6.33/1.63 % (1053124)Time elapsed: 0.001 s
% 6.33/1.63 % (1053123)Refutation not found, incomplete strategy
% 6.33/1.63 % (1053123)------------------------------
% 6.33/1.63 % (1053123)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.33/1.63 % (1053124)Peak memory usage: 86 MB
% 6.33/1.63 % (1053123)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.33/1.63 % (1053123)CaDiCaL version: 2.1.3
% 6.33/1.63 % (1053123)Termination reason: Refutation not found, incomplete strategy
% 6.33/1.63 % (1053123)Time elapsed: 0.001 s
% 6.33/1.63 % (1053123)Peak memory usage: 86 MB
% 6.33/1.63 % (1053125)First to succeed.
% 6.33/1.63 % (1053125)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1053103"
% 6.33/1.63 % (1053122)------------------------------
% 6.33/1.63 % (1053122)------------------------------
% 6.33/1.63 % (1053130)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=3853124084:avsq=on:i=194:fgj=on:bd=preordered_2994 on theBenchmark for (2994ds/194Mi)
% 6.33/1.63 % (1053130)Refutation not found, incomplete strategy
% 6.33/1.63 % (1053130)------------------------------
% 6.33/1.63 % (1053130)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.33/1.63 % (1053130)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.33/1.63 % (1053130)CaDiCaL version: 2.1.3
% 6.33/1.63 % (1053130)Termination reason: Refutation not found, incomplete strategy
% 6.33/1.63 % (1053130)Time elapsed: 0.001 s
% 6.33/1.63 % (1053130)Peak memory usage: 87 MB
% 6.33/1.63 % (1053130)Instructions burned: 3 (million)
% 6.33/1.63 % (1053109)Refutation not found, incomplete strategy
% 6.33/1.63 % (1053109)------------------------------
% 6.33/1.63 % (1053109)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.33/1.63 % (1053109)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.33/1.63 % (1053109)CaDiCaL version: 2.1.3
% 6.33/1.63 % (1053109)Termination reason: Refutation not found, incomplete strategy
% 6.33/1.63 % (1053109)Time elapsed: 0.578 s
% 6.33/1.63 % (1053109)Peak memory usage: 125 MB
% 6.33/1.63 % (1053109)Instructions burned: 867 (million)
% 6.33/1.63 % (1053108)Also succeeded, but the first one will report.
% 6.33/1.63 % (1053124)------------------------------
% 6.33/1.63 % (1053124)------------------------------
% 6.33/1.63 % (1053123)------------------------------
% 6.33/1.63 % (1053123)------------------------------
% 6.33/1.63 % SZS status Satisfiable for theBenchmark
% 6.33/1.63 % SZS output start Saturation.
% See solution above
% 6.33/1.63 % SZS output start Definitions and Model Updates.
% 6.33/1.63 % SZS output end Definitions and Model Updates.
% 6.33/1.63 % (1053125)------------------------------
% 6.33/1.63 % (1053125)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.33/1.63 % (1053125)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.33/1.63 % (1053125)CaDiCaL version: 2.1.3
% 6.33/1.63 % (1053125)Termination reason: Satisfiable
% 6.33/1.63 % (1053125)Time elapsed: 0.002 s
% 6.33/1.63 % (1053125)Peak memory usage: 87 MB
% 6.33/1.63 % (1053125)Instructions burned: 1 (million)
% 6.33/1.63 % (1053125)------------------------------
% 6.33/1.63 % (1053125)------------------------------
% 6.33/1.63 % (1053103)Success in time 0.841 s
% 6.33/1.63 % Vampire exiting
%------------------------------------------------------------------------------