%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYO690-1.004 : TPTP v9.3.1. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n005.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 02:32:26 PM UTC 2026
% Result : Satisfiable 0.13s 0.29s
% Output : Saturation 0.13s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(constructor_f2,axiom,
( ~ eq(f(X0,X2),f(X1,X3))
| eq(X0,X1) ) ).
cnf(rewrite_top,axiom,
( ~ top(X0,X1)
| step(X0,X1) ) ).
cnf(constructor_af,axiom,
~ eq(f(X0,X1),a) ).
cnf(u14,axiom,
step(f(f(f(f(f(f(X0,a),a),a),a),X1),f(X2,a)),f(f(X2,f(f(f(f(f(X1,a),a),a),a),a)),X0)) ).
cnf(constructor_af_001,axiom,
~ eq(a,f(X0,X1)) ).
cnf(constructor_f3,axiom,
( ~ eq(f(X2,X0),f(X3,X1))
| eq(X0,X1) ) ).
cnf(rewrite_left,axiom,
( step(f(X0,X2),f(X1,X2))
| ~ step(X0,X1) ) ).
cnf(rule_1,axiom,
top(f(f(f(f(f(f(X0,a),a),a),a),X1),f(X2,a)),f(f(X2,f(f(f(f(f(X1,a),a),a),a),a)),X0)) ).
cnf(rewrite_right,axiom,
( step(f(X2,X0),f(X2,X1))
| ~ step(X0,X1) ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO690-1.004 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/0.20 % Computer : n005.cluster.edu
% 0.13/0.20 % Model : x86_64 x86_64
% 0.13/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.20 % Memory : 8046.5625MB
% 0.13/0.20 % OS : Linux 6.8.0-71-generic
% 0.13/0.20 % CPULimit : 300
% 0.13/0.20 % WCLimit : 300
% 0.13/0.20 % DateTime : Mon Sep 28 18:08:38 UTC 2026
% 0.13/0.20 % CPUTime :
% 0.13/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/0.23 Running first-order model finding
% 0.13/0.23 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.29 % (1004829)Will run a generic schedule for satisfiability detection.
% 0.13/0.29 % (1004834)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3813983598_2999 on theBenchmark for (2999ds/0Mi)
% 0.13/0.29 % TRYING [1]
% 0.13/0.29 % TRYING [2]
% 0.13/0.29 % TRYING [3]
% 0.13/0.29 % (1004835)% WARNING: option uhcvi not known.
% 0.13/0.29 % TRYING [4]
% 0.13/0.29 % (1004837)dis+10_1_sil=32000:sp=arity:random_seed=2694657717:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.13/0.29 % (1004835)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=904865498:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.13/0.29 % (1004836)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1208066651:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.13/0.29 % TRYING [5]
% 0.13/0.29 % (1004839)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=618505854:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.13/0.29 % (1004838)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3860577164:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.13/0.29 % (1004840)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3814566469:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.13/0.29 % (1004838) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1004829-1004838"...
% 0.13/0.29 % (1004840) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1004829-1004840"...
% 0.13/0.29 % (1004836) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1004829-1004836"...
% 0.13/0.29 % (1004838)...printing done.
% 0.13/0.29 % (1004840)...printing done.
% 0.13/0.29 % (1004836)...printing done.
% 0.13/0.29 % SZS status Satisfiable for theBenchmark
% 0.13/0.29 % SZS output start Saturation.
% See solution above
% 0.13/0.29 % SZS output start Definitions and Model Updates.
% 0.13/0.29 for all groundings,
% 0.13/0.29 whenever eq(a,a) is false, set eq(a,a) to true
% 0.13/0.29 for all groundings, until fixed point,
% 0.13/0.29 whenever ~eq(X0,X1) | ~eq(X2,X3) | eq(f(X0,X2),f(X1,X3)) is false, set eq(f(X0,X2),f(X1,X3)) to true
% 0.13/0.29 for all groundings,
% 0.13/0.29 whenever seq(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(zero)))))))))))))))))))))))))))))))),X0,X0) is false, set seq(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(zero)))))))))))))))))))))))))))))))),X0,X0) to true
% 0.13/0.29 for all groundings,
% 0.13/0.29 whenever seq(zero,X0,X0) is false, set seq(zero,X0,X0) to true
% 0.13/0.29 for all groundings, until fixed point,
% 0.13/0.29 whenever ~seq(X0,X1,X2) | ~step(X2,X3) | seq(succ(X0),X1,X3) is false, set seq(succ(X0),X1,X3) to true
% 0.13/0.29 % SZS output end Definitions and Model Updates.
% 0.13/0.29 % (1004838)------------------------------
% 0.13/0.29 % (1004838)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.13/0.29 % (1004838)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.13/0.29 % (1004838)CaDiCaL version: 2.1.3
% 0.13/0.29 % (1004838)Termination reason: Satisfiable
% 0.13/0.29 % (1004838)Time elapsed: 0.001 s
% 0.13/0.29 % (1004838)Peak memory usage: 11 MB
% 0.13/0.29 % (1004838)Instructions burned: 1 (million)
% 0.13/0.29 % (1004829)Success in time 0.044 s
% 0.13/0.29 % Vampire exiting
%------------------------------------------------------------------------------